TSTP Solution File: ALG155+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG155+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:43:10 EDT 2022
% Result : Unsatisfiable 2.90s 0.78s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 265
% Syntax : Number of formulae : 1797 ( 54 unt; 0 def)
% Number of atoms : 5645 (2360 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 6948 (3100 ~;2880 |; 798 &)
% ( 170 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 238 ( 236 usr; 237 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5543,plain,
$false,
inference(avatar_sat_refutation,[],[f609,f626,f635,f653,f662,f667,f676,f685,f694,f711,f720,f729,f738,f748,f753,f762,f763,f768,f781,f786,f799,f808,f822,f827,f832,f850,f851,f868,f873,f883,f888,f897,f911,f925,f930,f931,f936,f941,f955,f956,f970,f975,f980,f985,f986,f996,f1006,f1011,f1012,f1025,f1035,f1036,f1041,f1051,f1052,f1149,f1154,f1158,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1179,f1180,f1181,f1182,f1188,f1190,f1191,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1215,f1225,f1230,f1236,f1246,f1249,f1255,f1256,f1267,f1272,f1282,f1287,f1288,f1289,f1294,f1295,f1300,f1302,f1303,f1314,f1319,f1320,f1322,f1323,f1332,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1349,f1350,f1351,f1360,f1362,f1363,f1365,f1370,f1371,f1372,f1373,f1374,f1376,f1378,f1379,f1384,f1385,f1386,f1391,f1392,f1393,f1398,f1400,f1401,f1402,f1404,f1405,f1406,f1408,f1410,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1424,f1425,f1430,f1431,f1432,f1433,f1436,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1462,f1463,f1464,f1465,f1474,f1479,f1480,f1482,f1483,f1484,f1489,f1490,f1491,f1496,f1497,f1498,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1511,f1512,f1513,f1514,f1516,f1517,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1533,f1534,f1535,f1540,f1541,f1543,f1544,f1545,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1562,f1563,f1568,f1573,f1574,f1575,f1577,f1578,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1586,f1587,f1588,f1589,f1591,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1624,f1625,f1628,f1629,f1630,f1634,f1635,f1636,f1643,f1647,f1654,f1659,f1662,f1669,f1670,f1678,f1679,f1703,f1705,f1722,f1725,f1731,f1749,f1760,f1768,f1775,f1778,f1781,f1789,f1796,f1803,f1809,f1816,f1819,f1822,f1830,f1832,f1835,f1855,f1875,f1876,f1883,f1887,f1899,f1906,f1914,f1921,f1924,f1932,f1939,f1959,f1973,f1984,f1997,f2017,f2029,f2031,f2040,f2044,f2078,f2081,f2095,f2111,f2120,f2151,f2155,f2166,f2173,f2182,f2208,f2269,f2275,f2294,f2304,f2325,f2332,f2383,f2417,f2431,f2440,f2452,f2457,f2476,f2478,f2480,f2482,f2494,f2513,f2534,f2546,f2577,f2586,f2599,f2604,f2614,f2615,f2632,f2655,f2663,f2700,f2756,f2771,f2775,f2777,f2790,f2792,f2794,f2798,f2838,f2854,f2873,f2877,f2900,f2909,f2925,f2948,f2968,f2972,f3015,f3019,f3066,f3093,f3125,f3148,f3160,f3174,f3192,f3209,f3212,f3254,f3292,f3305,f3312,f3319,f3324,f3333,f3351,f3364,f3388,f3435,f3444,f3447,f3457,f3466,f3469,f3481,f3513,f3518,f3569,f3579,f3585,f3592,f3594,f3595,f3612,f3620,f3648,f3679,f3699,f3717,f3745,f3755,f3786,f3795,f3862,f3893,f3901,f3903,f3908,f3911,f3913,f3937,f3961,f3977,f3990,f4072,f4078,f4139,f4178,f4187,f4207,f4264,f4269,f4271,f4283,f4289,f4325,f4338,f4356,f4368,f4377,f4385,f4394,f4397,f4398,f4424,f4431,f4468,f4493,f4496,f4498,f4507,f4512,f4521,f4533,f4552,f4567,f4574,f4621,f4632,f4638,f4645,f4659,f4661,f4663,f4665,f4760,f4773,f4784,f4791,f4793,f4796,f4798,f4804,f4808,f4809,f4814,f4820,f4827,f4837,f4844,f4871,f4876,f4907,f4921,f4928,f4930,f4947,f4948,f4956,f4964,f4980,f4999,f5018,f5024,f5032,f5074,f5086,f5093,f5157,f5203,f5209,f5215,f5226,f5230,f5238,f5241,f5286,f5290,f5293,f5295,f5300,f5304,f5306,f5310,f5318,f5333,f5334,f5342,f5416,f5423,f5434,f5435,f5444,f5446,f5451,f5452,f5457,f5459,f5461,f5463,f5467,f5478,f5489,f5494,f5503,f5521]) ).
fof(f5521,plain,
( ~ spl66_22
| ~ spl66_68
| spl66_131 ),
inference(avatar_split_clause,[],[f5517,f1239,f908,f696]) ).
fof(f696,plain,
( spl66_22
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_22])]) ).
fof(f908,plain,
( spl66_68
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_68])]) ).
fof(f1239,plain,
( spl66_131
<=> e2 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_131])]) ).
fof(f5517,plain,
( e2 != op(e0,e1)
| ~ spl66_68
| spl66_131 ),
inference(backward_demodulation,[],[f1241,f910]) ).
fof(f910,plain,
( e0 = op(e1,e1)
| ~ spl66_68 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f1241,plain,
( e2 != op(op(e1,e1),e1)
| spl66_131 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f5503,plain,
( ~ spl66_68
| ~ spl66_40
| ~ spl66_52
| spl66_159 ),
inference(avatar_split_clause,[],[f5501,f1471,f835,f778,f908]) ).
fof(f778,plain,
( spl66_40
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_40])]) ).
fof(f835,plain,
( spl66_52
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_52])]) ).
fof(f1471,plain,
( spl66_159
<=> e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_159])]) ).
fof(f5501,plain,
( e0 != op(e1,e1)
| ~ spl66_40
| ~ spl66_52
| spl66_159 ),
inference(backward_demodulation,[],[f5453,f780]) ).
fof(f780,plain,
( e1 = op(e3,e2)
| ~ spl66_40 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f5453,plain,
( e0 != op(op(e3,e2),op(e3,e2))
| ~ spl66_52
| spl66_159 ),
inference(forward_demodulation,[],[f1473,f837]) ).
fof(f837,plain,
( e3 = op(e2,e2)
| ~ spl66_52 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1473,plain,
( e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| spl66_159 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f5494,plain,
( ~ spl66_78
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f5493,f726,f958]) ).
fof(f958,plain,
( spl66_78
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_78])]) ).
fof(f726,plain,
( spl66_29
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_29])]) ).
fof(f5493,plain,
( e3 != op(e1,e1)
| ~ spl66_29 ),
inference(forward_demodulation,[],[f244,f728]) ).
fof(f728,plain,
( e3 = op(e3,e1)
| ~ spl66_29 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f244,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e0,e0) != op(e0,e2)
& op(e1,e1) != op(e3,e1)
& op(e1,e3) != op(e2,e3)
& op(e2,e0) != op(e3,e0)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e2,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e3,e1)
& op(e1,e3) != op(e3,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e0,e2) != op(e1,e2)
& op(e0,e0) != op(e1,e0)
& op(e0,e3) != op(e3,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e2)
& op(e3,e2) != op(e3,e3)
& op(e3,e0) != op(e3,e1)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e0,e2)
& op(e0,e3) != op(e2,e3)
& op(e1,e2) != op(e2,e2)
& op(e1,e0) != op(e1,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e1,e3)
& op(e3,e1) != op(e3,e3)
& op(e1,e2) != op(e1,e3)
& op(e0,e0) != op(e2,e0)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e3,e1) != op(e3,e2)
& op(e2,e1) != op(e2,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e1) != op(e3,e1)
& op(e2,e0) != op(e2,e3)
& op(e1,e2) != op(e3,e2)
& op(e0,e0) != op(e0,e1)
& op(e1,e1) != op(e2,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f5489,plain,
( ~ spl66_78
| ~ spl66_33
| spl66_35
| ~ spl66_123 ),
inference(avatar_split_clause,[],[f5488,f1176,f755,f745,f958]) ).
fof(f745,plain,
( spl66_33
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_33])]) ).
fof(f755,plain,
( spl66_35
<=> e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_35])]) ).
fof(f1176,plain,
( spl66_123
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_123])]) ).
fof(f5488,plain,
( e3 != op(e1,e1)
| ~ spl66_33
| spl66_35
| ~ spl66_123 ),
inference(forward_demodulation,[],[f5487,f1178]) ).
fof(f1178,plain,
( e1 = op(e2,e0)
| ~ spl66_123 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f5487,plain,
( e3 != op(op(e2,e0),op(e2,e0))
| ~ spl66_33
| spl66_35 ),
inference(forward_demodulation,[],[f757,f746]) ).
fof(f746,plain,
( op(e0,e0) = e2
| ~ spl66_33 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f757,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| spl66_35 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f5478,plain,
( ~ spl66_18
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f5477,f659,f678]) ).
fof(f678,plain,
( spl66_18
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_18])]) ).
fof(f659,plain,
( spl66_14
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_14])]) ).
fof(f5477,plain,
( e0 != op(e0,e1)
| ~ spl66_14 ),
inference(forward_demodulation,[],[f221,f661]) ).
fof(f661,plain,
( e0 = op(e0,e2)
| ~ spl66_14 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f221,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5467,plain,
( ~ spl66_22
| ~ spl66_33 ),
inference(avatar_split_clause,[],[f5464,f745,f696]) ).
fof(f5464,plain,
( e2 != op(e0,e1)
| ~ spl66_33 ),
inference(backward_demodulation,[],[f199,f746]) ).
fof(f199,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5463,plain,
( ~ spl66_50
| ~ spl66_44
| spl66_136 ),
inference(avatar_split_clause,[],[f5462,f1269,f796,f824]) ).
fof(f824,plain,
( spl66_50
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_50])]) ).
fof(f796,plain,
( spl66_44
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_44])]) ).
fof(f1269,plain,
( spl66_136
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_136])]) ).
fof(f5462,plain,
( e3 != op(e3,e2)
| ~ spl66_44
| spl66_136 ),
inference(forward_demodulation,[],[f1270,f798]) ).
fof(f798,plain,
( e2 = op(e3,e3)
| ~ spl66_44 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1270,plain,
( e3 != op(e3,op(e3,e3))
| spl66_136 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f5461,plain,
( ~ spl66_25
| ~ spl66_44 ),
inference(avatar_split_clause,[],[f5460,f796,f708]) ).
fof(f708,plain,
( spl66_25
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_25])]) ).
fof(f5460,plain,
( e2 != op(e3,e1)
| ~ spl66_44 ),
inference(forward_demodulation,[],[f214,f798]) ).
fof(f214,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5459,plain,
( ~ spl66_22
| ~ spl66_23 ),
inference(avatar_split_clause,[],[f5458,f700,f696]) ).
fof(f700,plain,
( spl66_23
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_23])]) ).
fof(f5458,plain,
( e2 != op(e0,e1)
| ~ spl66_23 ),
inference(forward_demodulation,[],[f222,f702]) ).
fof(f702,plain,
( e2 = op(e2,e1)
| ~ spl66_23 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f222,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5457,plain,
( ~ spl66_53
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f5456,f835,f839]) ).
fof(f839,plain,
( spl66_53
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_53])]) ).
fof(f5456,plain,
( e3 != op(e2,e0)
| ~ spl66_52 ),
inference(forward_demodulation,[],[f227,f837]) ).
fof(f227,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5452,plain,
( ~ spl66_50
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f5448,f835,f824]) ).
fof(f5448,plain,
( e3 != op(e3,e2)
| ~ spl66_52 ),
inference(backward_demodulation,[],[f210,f837]) ).
fof(f210,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5451,plain,
( ~ spl66_141
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f5449,f835,f1297]) ).
fof(f1297,plain,
( spl66_141
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_141])]) ).
fof(f5449,plain,
( e3 != op(e1,e2)
| ~ spl66_52 ),
inference(backward_demodulation,[],[f219,f837]) ).
fof(f219,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5446,plain,
( ~ spl66_46
| ~ spl66_23 ),
inference(avatar_split_clause,[],[f5445,f700,f805]) ).
fof(f805,plain,
( spl66_46
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_46])]) ).
fof(f5445,plain,
( e2 != op(e2,e2)
| ~ spl66_23 ),
inference(forward_demodulation,[],[f228,f702]) ).
fof(f228,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5444,plain,
( ~ spl66_6
| ~ spl66_79 ),
inference(avatar_split_clause,[],[f5443,f963,f623]) ).
fof(f623,plain,
( spl66_6
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_6])]) ).
fof(f963,plain,
( spl66_79
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_79])]) ).
fof(f5443,plain,
( e1 != op(e0,e3)
| ~ spl66_79 ),
inference(forward_demodulation,[],[f211,f965]) ).
fof(f965,plain,
( e1 = op(e1,e3)
| ~ spl66_79 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f211,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5435,plain,
( ~ spl66_133
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f5433,f1565,f1252]) ).
fof(f1252,plain,
( spl66_133
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_133])]) ).
fof(f1565,plain,
( spl66_168
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_168])]) ).
fof(f5433,plain,
( op(e0,e0) != e3
| ~ spl66_168 ),
inference(backward_demodulation,[],[f223,f1567]) ).
fof(f1567,plain,
( e3 = op(e0,e3)
| ~ spl66_168 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f223,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5434,plain,
( ~ spl66_160
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f5432,f1565,f1476]) ).
fof(f1476,plain,
( spl66_160
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_160])]) ).
fof(f5432,plain,
( e3 != op(e0,e1)
| ~ spl66_168 ),
inference(backward_demodulation,[],[f207,f1567]) ).
fof(f207,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5423,plain,
( ~ spl66_160
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f5422,f726,f1476]) ).
fof(f5422,plain,
( e3 != op(e0,e1)
| ~ spl66_29 ),
inference(backward_demodulation,[],[f202,f728]) ).
fof(f202,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5416,plain,
( ~ spl66_70
| ~ spl66_133
| ~ spl66_135
| spl66_155 ),
inference(avatar_contradiction_clause,[],[f5415]) ).
fof(f5415,plain,
( $false
| ~ spl66_70
| ~ spl66_133
| ~ spl66_135
| spl66_155 ),
inference(subsumption_resolution,[],[f5414,f1254]) ).
fof(f1254,plain,
( op(e0,e0) = e3
| ~ spl66_133 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f5414,plain,
( op(e0,e0) != e3
| ~ spl66_70
| ~ spl66_135
| spl66_155 ),
inference(forward_demodulation,[],[f5413,f1266]) ).
fof(f1266,plain,
( e0 = op(e1,e2)
| ~ spl66_135 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl66_135
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_135])]) ).
fof(f5413,plain,
( e3 != op(op(e1,e2),op(e1,e2))
| ~ spl66_70
| spl66_155 ),
inference(forward_demodulation,[],[f1414,f920]) ).
fof(f920,plain,
( e1 = op(e2,e2)
| ~ spl66_70 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl66_70
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_70])]) ).
fof(f1414,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| spl66_155 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl66_155
<=> e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_155])]) ).
fof(f5342,plain,
( ~ spl66_91
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f5341,f1252,f1022]) ).
fof(f1022,plain,
( spl66_91
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_91])]) ).
fof(f5341,plain,
( e3 != op(e1,e0)
| ~ spl66_133 ),
inference(forward_demodulation,[],[f230,f1254]) ).
fof(f230,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f5334,plain,
( ~ spl66_43
| ~ spl66_44 ),
inference(avatar_split_clause,[],[f5329,f796,f792]) ).
fof(f792,plain,
( spl66_43
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_43])]) ).
fof(f5329,plain,
( e2 != op(e3,e2)
| ~ spl66_44 ),
inference(backward_demodulation,[],[f226,f798]) ).
fof(f226,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5333,plain,
( spl66_50
| ~ spl66_44
| ~ spl66_136 ),
inference(avatar_split_clause,[],[f5330,f1269,f796,f824]) ).
fof(f5330,plain,
( e3 = op(e3,e2)
| ~ spl66_44
| ~ spl66_136 ),
inference(backward_demodulation,[],[f1271,f798]) ).
fof(f1271,plain,
( e3 = op(e3,op(e3,e3))
| ~ spl66_136 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f5318,plain,
( ~ spl66_4
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f5317,f918,f615]) ).
fof(f615,plain,
( spl66_4
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_4])]) ).
fof(f5317,plain,
( e1 != op(e0,e2)
| ~ spl66_70 ),
inference(forward_demodulation,[],[f203,f920]) ).
fof(f203,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5310,plain,
( ~ spl66_12
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f5309,f918,f650]) ).
fof(f650,plain,
( spl66_12
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_12])]) ).
fof(f5309,plain,
( e1 != op(e1,e2)
| ~ spl66_70 ),
inference(forward_demodulation,[],[f219,f920]) ).
fof(f5306,plain,
( ~ spl66_33
| ~ spl66_128 ),
inference(avatar_split_clause,[],[f5305,f1222,f745]) ).
fof(f1222,plain,
( spl66_128
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_128])]) ).
fof(f5305,plain,
( op(e0,e0) != e2
| ~ spl66_128 ),
inference(forward_demodulation,[],[f245,f1224]) ).
fof(f1224,plain,
( e2 = op(e0,e2)
| ~ spl66_128 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f245,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5304,plain,
( ~ spl66_78
| ~ spl66_54 ),
inference(avatar_split_clause,[],[f5303,f843,f958]) ).
fof(f843,plain,
( spl66_54
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_54])]) ).
fof(f5303,plain,
( e3 != op(e1,e1)
| ~ spl66_54 ),
inference(forward_demodulation,[],[f198,f845]) ).
fof(f845,plain,
( e3 = op(e2,e1)
| ~ spl66_54 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f198,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5300,plain,
( ~ spl66_123
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f5297,f918,f1176]) ).
fof(f5297,plain,
( e1 != op(e2,e0)
| ~ spl66_70 ),
inference(backward_demodulation,[],[f227,f920]) ).
fof(f5295,plain,
( ~ spl66_55
| ~ spl66_54 ),
inference(avatar_split_clause,[],[f5294,f843,f847]) ).
fof(f847,plain,
( spl66_55
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_55])]) ).
fof(f5294,plain,
( e3 != op(e2,e3)
| ~ spl66_54 ),
inference(forward_demodulation,[],[f208,f845]) ).
fof(f208,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5293,plain,
( ~ spl66_43
| ~ spl66_128 ),
inference(avatar_split_clause,[],[f5292,f1222,f792]) ).
fof(f5292,plain,
( e2 != op(e3,e2)
| ~ spl66_128 ),
inference(backward_demodulation,[],[f206,f1224]) ).
fof(f206,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f5290,plain,
( ~ spl66_52
| ~ spl66_54 ),
inference(avatar_split_clause,[],[f5289,f843,f835]) ).
fof(f5289,plain,
( e3 != op(e2,e2)
| ~ spl66_54 ),
inference(backward_demodulation,[],[f228,f845]) ).
fof(f5286,plain,
( ~ spl66_3
| spl66_35
| ~ spl66_52
| ~ spl66_89 ),
inference(avatar_contradiction_clause,[],[f5285]) ).
fof(f5285,plain,
( $false
| ~ spl66_3
| spl66_35
| ~ spl66_52
| ~ spl66_89 ),
inference(subsumption_resolution,[],[f5281,f837]) ).
fof(f5281,plain,
( e3 != op(e2,e2)
| ~ spl66_3
| spl66_35
| ~ spl66_89 ),
inference(backward_demodulation,[],[f5135,f1016]) ).
fof(f1016,plain,
( e2 = op(e1,e0)
| ~ spl66_89 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1014,plain,
( spl66_89
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_89])]) ).
fof(f5135,plain,
( e3 != op(op(e1,e0),op(e1,e0))
| ~ spl66_3
| spl66_35 ),
inference(backward_demodulation,[],[f757,f613]) ).
fof(f613,plain,
( op(e0,e0) = e1
| ~ spl66_3 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl66_3
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_3])]) ).
fof(f5241,plain,
( spl66_9
| ~ spl66_21
| ~ spl66_96 ),
inference(avatar_split_clause,[],[f5240,f1048,f691,f637]) ).
fof(f637,plain,
( spl66_9
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_9])]) ).
fof(f691,plain,
( spl66_21
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_21])]) ).
fof(f1048,plain,
( spl66_96
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_96])]) ).
fof(f5240,plain,
( e0 = op(e3,e3)
| ~ spl66_21
| ~ spl66_96 ),
inference(forward_demodulation,[],[f1050,f693]) ).
fof(f693,plain,
( e3 = op(e3,e0)
| ~ spl66_21 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1050,plain,
( e0 = op(e3,op(e3,e0))
| ~ spl66_96 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f5238,plain,
( ~ spl66_40
| ~ spl66_52
| spl66_163 ),
inference(avatar_split_clause,[],[f5237,f1519,f835,f778]) ).
fof(f1519,plain,
( spl66_163
<=> e1 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_163])]) ).
fof(f5237,plain,
( e1 != op(e3,e2)
| ~ spl66_52
| spl66_163 ),
inference(forward_demodulation,[],[f1521,f837]) ).
fof(f1521,plain,
( e1 != op(op(e2,e2),e2)
| spl66_163 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f5230,plain,
( ~ spl66_44
| ~ spl66_127 ),
inference(avatar_split_clause,[],[f5229,f1218,f796]) ).
fof(f1218,plain,
( spl66_127
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_127])]) ).
fof(f5229,plain,
( e2 != op(e3,e3)
| ~ spl66_127 ),
inference(backward_demodulation,[],[f229,f1220]) ).
fof(f1220,plain,
( e2 = op(e0,e3)
| ~ spl66_127 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f229,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f5226,plain,
( ~ spl66_44
| ~ spl66_68
| spl66_150
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f5225,f1476,f1357,f908,f796]) ).
fof(f1357,plain,
( spl66_150
<=> e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_150])]) ).
fof(f5225,plain,
( e2 != op(e3,e3)
| ~ spl66_68
| spl66_150
| ~ spl66_160 ),
inference(forward_demodulation,[],[f5224,f1478]) ).
fof(f1478,plain,
( e3 = op(e0,e1)
| ~ spl66_160 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f5224,plain,
( e2 != op(op(e0,e1),op(e0,e1))
| ~ spl66_68
| spl66_150 ),
inference(forward_demodulation,[],[f1359,f910]) ).
fof(f1359,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| spl66_150 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f5215,plain,
( ~ spl66_125
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f5214,f908,f1193]) ).
fof(f1193,plain,
( spl66_125
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_125])]) ).
fof(f5214,plain,
( e0 != op(e2,e1)
| ~ spl66_68 ),
inference(forward_demodulation,[],[f198,f910]) ).
fof(f5209,plain,
( ~ spl66_142
| ~ spl66_52
| spl66_145 ),
inference(avatar_split_clause,[],[f5208,f1325,f835,f1305]) ).
fof(f1305,plain,
( spl66_142
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_142])]) ).
fof(f1325,plain,
( spl66_145
<=> e0 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_145])]) ).
fof(f5208,plain,
( e0 != op(e3,e2)
| ~ spl66_52
| spl66_145 ),
inference(forward_demodulation,[],[f1327,f837]) ).
fof(f1327,plain,
( e0 != op(op(e2,e2),e2)
| spl66_145 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f5203,plain,
( ~ spl66_30
| ~ spl66_68
| spl66_152 ),
inference(avatar_split_clause,[],[f5201,f1381,f908,f731]) ).
fof(f731,plain,
( spl66_30
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_30])]) ).
fof(f1381,plain,
( spl66_152
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_152])]) ).
fof(f5201,plain,
( e1 != op(e1,e0)
| ~ spl66_68
| spl66_152 ),
inference(backward_demodulation,[],[f1382,f910]) ).
fof(f1382,plain,
( e1 != op(e1,op(e1,e1))
| spl66_152 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f5157,plain,
( spl66_24
| ~ spl66_12
| ~ spl66_81 ),
inference(avatar_split_clause,[],[f5153,f972,f650,f704]) ).
fof(f704,plain,
( spl66_24
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_24])]) ).
fof(f972,plain,
( spl66_81
<=> e2 = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_81])]) ).
fof(f5153,plain,
( e2 = op(e1,e1)
| ~ spl66_12
| ~ spl66_81 ),
inference(backward_demodulation,[],[f974,f651]) ).
fof(f651,plain,
( e1 = op(e1,e2)
| ~ spl66_12 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f974,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl66_81 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f5093,plain,
( ~ spl66_78
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f5090,f1476,f958]) ).
fof(f5090,plain,
( e3 != op(e1,e1)
| ~ spl66_160 ),
inference(backward_demodulation,[],[f239,f1478]) ).
fof(f239,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5086,plain,
( ~ spl66_3
| ~ spl66_145
| spl66_146 ),
inference(avatar_split_clause,[],[f5085,f1329,f1325,f611]) ).
fof(f1329,plain,
( spl66_146
<=> e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_146])]) ).
fof(f5085,plain,
( op(e0,e0) != e1
| ~ spl66_145
| spl66_146 ),
inference(forward_demodulation,[],[f1331,f1326]) ).
fof(f1326,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl66_145 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1331,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| spl66_146 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f5074,plain,
( ~ spl66_68
| ~ spl66_90 ),
inference(avatar_split_clause,[],[f5073,f1018,f908]) ).
fof(f1018,plain,
( spl66_90
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_90])]) ).
fof(f5073,plain,
( e0 != op(e1,e1)
| ~ spl66_90 ),
inference(forward_demodulation,[],[f218,f1020]) ).
fof(f1020,plain,
( e0 = op(e1,e0)
| ~ spl66_90 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f218,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f5032,plain,
( spl66_68
| ~ spl66_30
| ~ spl66_144 ),
inference(avatar_split_clause,[],[f5028,f1316,f731,f908]) ).
fof(f1316,plain,
( spl66_144
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_144])]) ).
fof(f5028,plain,
( e0 = op(e1,e1)
| ~ spl66_30
| ~ spl66_144 ),
inference(backward_demodulation,[],[f1318,f733]) ).
fof(f733,plain,
( e1 = op(e1,e0)
| ~ spl66_30 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1318,plain,
( e0 = op(e1,op(e1,e0))
| ~ spl66_144 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f5024,plain,
( ~ spl66_122
| spl66_166 ),
inference(avatar_contradiction_clause,[],[f5023]) ).
fof(f5023,plain,
( $false
| ~ spl66_122
| spl66_166 ),
inference(subsumption_resolution,[],[f5022,f1174]) ).
fof(f1174,plain,
( e0 = op(e2,e0)
| ~ spl66_122 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1172,plain,
( spl66_122
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_122])]) ).
fof(f5022,plain,
( e0 != op(e2,e0)
| ~ spl66_122
| spl66_166 ),
inference(forward_demodulation,[],[f1548,f1174]) ).
fof(f1548,plain,
( e0 != op(e2,op(e2,e0))
| spl66_166 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl66_166
<=> e0 = op(e2,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_166])]) ).
fof(f5018,plain,
( ~ spl66_24
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f5017,f696,f704]) ).
fof(f5017,plain,
( e2 != op(e1,e1)
| ~ spl66_22 ),
inference(forward_demodulation,[],[f239,f698]) ).
fof(f698,plain,
( e2 = op(e0,e1)
| ~ spl66_22 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f4999,plain,
( ~ spl66_24
| ~ spl66_6
| ~ spl66_9
| spl66_49 ),
inference(avatar_split_clause,[],[f4998,f819,f637,f623,f704]) ).
fof(f819,plain,
( spl66_49
<=> e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_49])]) ).
fof(f4998,plain,
( e2 != op(e1,e1)
| ~ spl66_6
| ~ spl66_9
| spl66_49 ),
inference(forward_demodulation,[],[f4997,f625]) ).
fof(f625,plain,
( e1 = op(e0,e3)
| ~ spl66_6 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f4997,plain,
( e2 != op(op(e0,e3),op(e0,e3))
| ~ spl66_9
| spl66_49 ),
inference(forward_demodulation,[],[f821,f638]) ).
fof(f638,plain,
( e0 = op(e3,e3)
| ~ spl66_9 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f821,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| spl66_49 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f4980,plain,
( ~ spl66_42
| ~ spl66_70
| ~ spl66_133
| spl66_169 ),
inference(avatar_contradiction_clause,[],[f4979]) ).
fof(f4979,plain,
( $false
| ~ spl66_42
| ~ spl66_70
| ~ spl66_133
| spl66_169 ),
inference(subsumption_resolution,[],[f4978,f920]) ).
fof(f4978,plain,
( e1 != op(e2,e2)
| ~ spl66_42
| ~ spl66_133
| spl66_169 ),
inference(forward_demodulation,[],[f4975,f790]) ).
fof(f790,plain,
( e2 = op(e3,e0)
| ~ spl66_42 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl66_42
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_42])]) ).
fof(f4975,plain,
( e1 != op(op(e3,e0),op(e3,e0))
| ~ spl66_133
| spl66_169 ),
inference(backward_demodulation,[],[f1572,f1254]) ).
fof(f1572,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| spl66_169 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1570,plain,
( spl66_169
<=> e1 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_169])]) ).
fof(f4964,plain,
( ~ spl66_168
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f4963,f1448,f1565]) ).
fof(f1448,plain,
( spl66_157
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_157])]) ).
fof(f4963,plain,
( e3 != op(e0,e3)
| ~ spl66_157 ),
inference(forward_demodulation,[],[f211,f1450]) ).
fof(f1450,plain,
( e3 = op(e1,e3)
| ~ spl66_157 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f4956,plain,
( ~ spl66_17
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f4851,f801,f673]) ).
fof(f673,plain,
( spl66_17
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_17])]) ).
fof(f801,plain,
( spl66_45
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_45])]) ).
fof(f4851,plain,
( e2 != op(e2,e0)
| ~ spl66_45 ),
inference(forward_demodulation,[],[f201,f803]) ).
fof(f803,plain,
( e2 = op(e2,e3)
| ~ spl66_45 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f201,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4948,plain,
( ~ spl66_1
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f4946,f824,f602]) ).
fof(f602,plain,
( spl66_1
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_1])]) ).
fof(f4946,plain,
( e3 != op(e3,e3)
| ~ spl66_50 ),
inference(backward_demodulation,[],[f226,f826]) ).
fof(f826,plain,
( e3 = op(e3,e2)
| ~ spl66_50 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f4947,plain,
( ~ spl66_21
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f4945,f824,f691]) ).
fof(f4945,plain,
( e3 != op(e3,e0)
| ~ spl66_50 ),
inference(backward_demodulation,[],[f204,f826]) ).
fof(f204,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4930,plain,
( ~ spl66_89
| ~ spl66_153 ),
inference(avatar_split_clause,[],[f4929,f1388,f1014]) ).
fof(f1388,plain,
( spl66_153
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_153])]) ).
fof(f4929,plain,
( e2 != op(e1,e0)
| ~ spl66_153 ),
inference(backward_demodulation,[],[f234,f1390]) ).
fof(f1390,plain,
( e2 = op(e1,e2)
| ~ spl66_153 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f234,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4928,plain,
( ~ spl66_1
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f4927,f1448,f602]) ).
fof(f4927,plain,
( e3 != op(e3,e3)
| ~ spl66_157 ),
inference(forward_demodulation,[],[f235,f1450]) ).
fof(f235,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4921,plain,
( ~ spl66_65
| ~ spl66_140
| spl66_158 ),
inference(avatar_contradiction_clause,[],[f4920]) ).
fof(f4920,plain,
( $false
| ~ spl66_65
| ~ spl66_140
| spl66_158 ),
inference(subsumption_resolution,[],[f4919,f1293]) ).
fof(f1293,plain,
( e3 = op(e0,e2)
| ~ spl66_140 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1291,plain,
( spl66_140
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_140])]) ).
fof(f4919,plain,
( e3 != op(e0,e2)
| ~ spl66_65
| spl66_158 ),
inference(forward_demodulation,[],[f1469,f895]) ).
fof(f895,plain,
( e0 = op(e2,e2)
| ~ spl66_65 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl66_65
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_65])]) ).
fof(f1469,plain,
( e3 != op(op(e2,e2),e2)
| spl66_158 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl66_158
<=> e3 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_158])]) ).
fof(f4907,plain,
( ~ spl66_8
| ~ spl66_65
| ~ spl66_140
| spl66_146 ),
inference(avatar_contradiction_clause,[],[f4906]) ).
fof(f4906,plain,
( $false
| ~ spl66_8
| ~ spl66_65
| ~ spl66_140
| spl66_146 ),
inference(subsumption_resolution,[],[f4905,f633]) ).
fof(f633,plain,
( e1 = op(e3,e3)
| ~ spl66_8 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f632,plain,
( spl66_8
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_8])]) ).
fof(f4905,plain,
( e1 != op(e3,e3)
| ~ spl66_65
| ~ spl66_140
| spl66_146 ),
inference(forward_demodulation,[],[f4904,f1293]) ).
fof(f4904,plain,
( e1 != op(op(e0,e2),op(e0,e2))
| ~ spl66_65
| spl66_146 ),
inference(forward_demodulation,[],[f1331,f895]) ).
fof(f4876,plain,
( ~ spl66_91
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f4874,f691,f1022]) ).
fof(f4874,plain,
( e3 != op(e1,e0)
| ~ spl66_21 ),
inference(backward_demodulation,[],[f240,f693]) ).
fof(f240,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f4871,plain,
( ~ spl66_91
| ~ spl66_157 ),
inference(avatar_split_clause,[],[f4870,f1448,f1022]) ).
fof(f4870,plain,
( e3 != op(e1,e0)
| ~ spl66_157 ),
inference(forward_demodulation,[],[f215,f1450]) ).
fof(f215,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4844,plain,
( ~ spl66_46
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f4843,f801,f805]) ).
fof(f4843,plain,
( e2 != op(e2,e2)
| ~ spl66_45 ),
inference(forward_demodulation,[],[f237,f803]) ).
fof(f237,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4837,plain,
( ~ spl66_79
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f4836,f632,f963]) ).
fof(f4836,plain,
( e1 != op(e1,e3)
| ~ spl66_8 ),
inference(forward_demodulation,[],[f235,f633]) ).
fof(f4827,plain,
( ~ spl66_127
| ~ spl66_33 ),
inference(avatar_split_clause,[],[f4825,f745,f1218]) ).
fof(f4825,plain,
( e2 != op(e0,e3)
| ~ spl66_33 ),
inference(backward_demodulation,[],[f223,f746]) ).
fof(f4820,plain,
( ~ spl66_23
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f4819,f801,f700]) ).
fof(f4819,plain,
( e2 != op(e2,e1)
| ~ spl66_45 ),
inference(forward_demodulation,[],[f208,f803]) ).
fof(f4814,plain,
( ~ spl66_156
| ~ spl66_8
| spl66_138 ),
inference(avatar_split_clause,[],[f4813,f1279,f632,f1427]) ).
fof(f1427,plain,
( spl66_156
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_156])]) ).
fof(f1279,plain,
( spl66_138
<=> e2 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_138])]) ).
fof(f4813,plain,
( e2 != op(e1,e3)
| ~ spl66_8
| spl66_138 ),
inference(backward_demodulation,[],[f1281,f633]) ).
fof(f1281,plain,
( e2 != op(op(e3,e3),e3)
| spl66_138 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f4809,plain,
( ~ spl66_156
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f4807,f801,f1427]) ).
fof(f4807,plain,
( e2 != op(e1,e3)
| ~ spl66_45 ),
inference(backward_demodulation,[],[f243,f803]) ).
fof(f243,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4808,plain,
( ~ spl66_127
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f4805,f801,f1218]) ).
fof(f4805,plain,
( e2 != op(e0,e3)
| ~ spl66_45 ),
inference(backward_demodulation,[],[f220,f803]) ).
fof(f220,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4804,plain,
( ~ spl66_125
| ~ spl66_24
| spl66_161 ),
inference(avatar_split_clause,[],[f4803,f1486,f704,f1193]) ).
fof(f1486,plain,
( spl66_161
<=> e0 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_161])]) ).
fof(f4803,plain,
( e0 != op(e2,e1)
| ~ spl66_24
| spl66_161 ),
inference(forward_demodulation,[],[f1488,f706]) ).
fof(f706,plain,
( e2 = op(e1,e1)
| ~ spl66_24 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f1488,plain,
( e0 != op(op(e1,e1),e1)
| spl66_161 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f4798,plain,
( ~ spl66_125
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f4797,f1367,f1193]) ).
fof(f1367,plain,
( spl66_151
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_151])]) ).
fof(f4797,plain,
( e0 != op(e2,e1)
| ~ spl66_151 ),
inference(forward_demodulation,[],[f236,f1369]) ).
fof(f1369,plain,
( e0 = op(e3,e1)
| ~ spl66_151 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f236,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f4796,plain,
( ~ spl66_147
| ~ spl66_5 ),
inference(avatar_split_clause,[],[f4795,f619,f1335]) ).
fof(f1335,plain,
( spl66_147
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_147])]) ).
fof(f619,plain,
( spl66_5
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_5])]) ).
fof(f4795,plain,
( e1 != op(e2,e1)
| ~ spl66_5 ),
inference(forward_demodulation,[],[f222,f621]) ).
fof(f621,plain,
( e1 = op(e0,e1)
| ~ spl66_5 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f4793,plain,
( ~ spl66_52
| ~ spl66_140 ),
inference(avatar_split_clause,[],[f4792,f1291,f835]) ).
fof(f4792,plain,
( e3 != op(e2,e2)
| ~ spl66_140 ),
inference(forward_demodulation,[],[f203,f1293]) ).
fof(f4791,plain,
( ~ spl66_4
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f4790,f650,f615]) ).
fof(f4790,plain,
( e1 != op(e0,e2)
| ~ spl66_12 ),
inference(forward_demodulation,[],[f231,f651]) ).
fof(f231,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f4784,plain,
( ~ spl66_9
| ~ spl66_151 ),
inference(avatar_split_clause,[],[f4783,f1367,f637]) ).
fof(f4783,plain,
( e0 != op(e3,e3)
| ~ spl66_151 ),
inference(forward_demodulation,[],[f214,f1369]) ).
fof(f4773,plain,
( ~ spl66_4
| spl66_22
| ~ spl66_165 ),
inference(avatar_contradiction_clause,[],[f4772]) ).
fof(f4772,plain,
( $false
| ~ spl66_4
| spl66_22
| ~ spl66_165 ),
inference(subsumption_resolution,[],[f4769,f697]) ).
fof(f697,plain,
( e2 != op(e0,e1)
| spl66_22 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f4769,plain,
( e2 = op(e0,e1)
| ~ spl66_4
| ~ spl66_165 ),
inference(backward_demodulation,[],[f1539,f617]) ).
fof(f617,plain,
( e1 = op(e0,e2)
| ~ spl66_4 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f1539,plain,
( e2 = op(e0,op(e0,e2))
| ~ spl66_165 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1537,plain,
( spl66_165
<=> e2 = op(e0,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_165])]) ).
fof(f4760,plain,
( ~ spl66_9
| ~ spl66_50
| ~ spl66_130 ),
inference(avatar_contradiction_clause,[],[f4759]) ).
fof(f4759,plain,
( $false
| ~ spl66_9
| ~ spl66_50
| ~ spl66_130 ),
inference(subsumption_resolution,[],[f4758,f193]) ).
fof(f193,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e3
& e1 != e3
& e0 != e2
& e0 != e1
& e1 != e2
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f4758,plain,
( e0 = e2
| ~ spl66_9
| ~ spl66_50
| ~ spl66_130 ),
inference(forward_demodulation,[],[f4757,f638]) ).
fof(f4757,plain,
( e2 = op(e3,e3)
| ~ spl66_50
| ~ spl66_130 ),
inference(forward_demodulation,[],[f1235,f826]) ).
fof(f1235,plain,
( e2 = op(e3,op(e3,e2))
| ~ spl66_130 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1233,plain,
( spl66_130
<=> e2 = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_130])]) ).
fof(f4665,plain,
( ~ spl66_30
| ~ spl66_123 ),
inference(avatar_split_clause,[],[f4664,f1176,f731]) ).
fof(f4664,plain,
( e1 != op(e1,e0)
| ~ spl66_123 ),
inference(forward_demodulation,[],[f216,f1178]) ).
fof(f216,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f4663,plain,
( ~ spl66_156
| ~ spl66_127 ),
inference(avatar_split_clause,[],[f4662,f1218,f1427]) ).
fof(f4662,plain,
( e2 != op(e1,e3)
| ~ spl66_127 ),
inference(forward_demodulation,[],[f211,f1220]) ).
fof(f4661,plain,
( spl66_6
| ~ spl66_124
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f4660,f1476,f1185,f623]) ).
fof(f1185,plain,
( spl66_124
<=> e1 = op(e0,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_124])]) ).
fof(f4660,plain,
( e1 = op(e0,e3)
| ~ spl66_124
| ~ spl66_160 ),
inference(forward_demodulation,[],[f1187,f1478]) ).
fof(f1187,plain,
( e1 = op(e0,op(e0,e1))
| ~ spl66_124 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f4659,plain,
( ~ spl66_127
| spl66_140
| ~ spl66_143 ),
inference(avatar_contradiction_clause,[],[f4658]) ).
fof(f4658,plain,
( $false
| ~ spl66_127
| spl66_140
| ~ spl66_143 ),
inference(subsumption_resolution,[],[f4657,f1292]) ).
fof(f1292,plain,
( e3 != op(e0,e2)
| spl66_140 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f4657,plain,
( e3 = op(e0,e2)
| ~ spl66_127
| ~ spl66_143 ),
inference(backward_demodulation,[],[f1313,f1220]) ).
fof(f1313,plain,
( e3 = op(e0,op(e0,e3))
| ~ spl66_143 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1311,plain,
( spl66_143
<=> e3 = op(e0,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_143])]) ).
fof(f4645,plain,
( ~ spl66_133
| ~ spl66_160 ),
inference(avatar_split_clause,[],[f4642,f1476,f1252]) ).
fof(f4642,plain,
( op(e0,e0) != e3
| ~ spl66_160 ),
inference(backward_demodulation,[],[f199,f1478]) ).
fof(f4638,plain,
( spl66_125
| ~ spl66_123
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f4637,f1547,f1176,f1193]) ).
fof(f4637,plain,
( e0 = op(e2,e1)
| ~ spl66_123
| ~ spl66_166 ),
inference(forward_demodulation,[],[f1549,f1178]) ).
fof(f1549,plain,
( e0 = op(e2,op(e2,e0))
| ~ spl66_166 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f4632,plain,
( ~ spl66_1
| ~ spl66_55 ),
inference(avatar_split_clause,[],[f4631,f847,f602]) ).
fof(f4631,plain,
( e3 != op(e3,e3)
| ~ spl66_55 ),
inference(forward_demodulation,[],[f217,f849]) ).
fof(f849,plain,
( e3 = op(e2,e3)
| ~ spl66_55 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f217,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4621,plain,
( ~ spl66_135
| ~ spl66_70
| spl66_145 ),
inference(avatar_split_clause,[],[f4482,f1325,f918,f1264]) ).
fof(f4482,plain,
( e0 != op(e1,e2)
| ~ spl66_70
| spl66_145 ),
inference(forward_demodulation,[],[f1327,f920]) ).
fof(f4574,plain,
( ~ spl66_82
| ~ spl66_140
| ~ spl66_165 ),
inference(avatar_contradiction_clause,[],[f4573]) ).
fof(f4573,plain,
( $false
| ~ spl66_82
| ~ spl66_140
| ~ spl66_165 ),
inference(subsumption_resolution,[],[f4572,f193]) ).
fof(f4572,plain,
( e0 = e2
| ~ spl66_82
| ~ spl66_140
| ~ spl66_165 ),
inference(forward_demodulation,[],[f4571,f979]) ).
fof(f979,plain,
( e0 = op(e0,e3)
| ~ spl66_82 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl66_82
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_82])]) ).
fof(f4571,plain,
( e2 = op(e0,e3)
| ~ spl66_140
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1539,f1293]) ).
fof(f4567,plain,
( ~ spl66_33
| ~ spl66_78
| spl66_150
| ~ spl66_151 ),
inference(avatar_contradiction_clause,[],[f4566]) ).
fof(f4566,plain,
( $false
| ~ spl66_33
| ~ spl66_78
| spl66_150
| ~ spl66_151 ),
inference(subsumption_resolution,[],[f4562,f746]) ).
fof(f4562,plain,
( op(e0,e0) != e2
| ~ spl66_78
| spl66_150
| ~ spl66_151 ),
inference(backward_demodulation,[],[f4548,f1369]) ).
fof(f4548,plain,
( e2 != op(op(e3,e1),op(e3,e1))
| ~ spl66_78
| spl66_150 ),
inference(forward_demodulation,[],[f1359,f959]) ).
fof(f959,plain,
( e3 = op(e1,e1)
| ~ spl66_78 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f4552,plain,
( ~ spl66_38
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f4551,f632,f770]) ).
fof(f770,plain,
( spl66_38
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_38])]) ).
fof(f4551,plain,
( e1 != op(e3,e0)
| ~ spl66_8 ),
inference(forward_demodulation,[],[f205,f633]) ).
fof(f205,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4533,plain,
( ~ spl66_14
| ~ spl66_82 ),
inference(avatar_split_clause,[],[f4532,f977,f659]) ).
fof(f4532,plain,
( e0 != op(e0,e2)
| ~ spl66_82 ),
inference(forward_demodulation,[],[f241,f979]) ).
fof(f241,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4521,plain,
( ~ spl66_24
| ~ spl66_23 ),
inference(avatar_split_clause,[],[f4520,f700,f704]) ).
fof(f4520,plain,
( e2 != op(e1,e1)
| ~ spl66_23 ),
inference(forward_demodulation,[],[f198,f702]) ).
fof(f4512,plain,
( ~ spl66_53
| ~ spl66_33
| spl66_77 ),
inference(avatar_split_clause,[],[f4511,f952,f745,f839]) ).
fof(f952,plain,
( spl66_77
<=> e3 = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_77])]) ).
fof(f4511,plain,
( e3 != op(e2,e0)
| ~ spl66_33
| spl66_77 ),
inference(forward_demodulation,[],[f954,f746]) ).
fof(f954,plain,
( e3 != op(op(e0,e0),e0)
| spl66_77 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f4507,plain,
( ~ spl66_157
| ~ spl66_78 ),
inference(avatar_split_clause,[],[f4506,f958,f1448]) ).
fof(f4506,plain,
( e3 != op(e1,e3)
| ~ spl66_78 ),
inference(forward_demodulation,[],[f233,f959]) ).
fof(f233,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4498,plain,
( spl66_23
| ~ spl66_70
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f4497,f1346,f918,f700]) ).
fof(f1346,plain,
( spl66_148
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_148])]) ).
fof(f4497,plain,
( e2 = op(e2,e1)
| ~ spl66_70
| ~ spl66_148 ),
inference(forward_demodulation,[],[f1348,f920]) ).
fof(f1348,plain,
( e2 = op(e2,op(e2,e2))
| ~ spl66_148 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f4496,plain,
( ~ spl66_147
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f4458,f918,f1335]) ).
fof(f4458,plain,
( e1 != op(e2,e1)
| ~ spl66_70 ),
inference(forward_demodulation,[],[f228,f920]) ).
fof(f4493,plain,
( ~ spl66_70
| ~ spl66_141
| spl66_158 ),
inference(avatar_contradiction_clause,[],[f4492]) ).
fof(f4492,plain,
( $false
| ~ spl66_70
| ~ spl66_141
| spl66_158 ),
inference(subsumption_resolution,[],[f4491,f1299]) ).
fof(f1299,plain,
( e3 = op(e1,e2)
| ~ spl66_141 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f4491,plain,
( e3 != op(e1,e2)
| ~ spl66_70
| spl66_158 ),
inference(forward_demodulation,[],[f1469,f920]) ).
fof(f4468,plain,
( spl66_123
| ~ spl66_125
| ~ spl66_162 ),
inference(avatar_contradiction_clause,[],[f4467]) ).
fof(f4467,plain,
( $false
| spl66_123
| ~ spl66_125
| ~ spl66_162 ),
inference(subsumption_resolution,[],[f4466,f1177]) ).
fof(f1177,plain,
( e1 != op(e2,e0)
| spl66_123 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f4466,plain,
( e1 = op(e2,e0)
| ~ spl66_125
| ~ spl66_162 ),
inference(forward_demodulation,[],[f1495,f1195]) ).
fof(f1195,plain,
( e0 = op(e2,e1)
| ~ spl66_125 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1495,plain,
( e1 = op(e2,op(e2,e1))
| ~ spl66_162 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl66_162
<=> e1 = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_162])]) ).
fof(f4431,plain,
( ~ spl66_127
| ~ spl66_9
| spl66_138 ),
inference(avatar_split_clause,[],[f4430,f1279,f637,f1218]) ).
fof(f4430,plain,
( e2 != op(e0,e3)
| ~ spl66_9
| spl66_138 ),
inference(forward_demodulation,[],[f1281,f638]) ).
fof(f4424,plain,
( ~ spl66_17
| ~ spl66_33 ),
inference(avatar_split_clause,[],[f4423,f745,f673]) ).
fof(f4423,plain,
( e2 != op(e2,e0)
| ~ spl66_33 ),
inference(forward_demodulation,[],[f212,f746]) ).
fof(f212,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f4398,plain,
( ~ spl66_54
| ~ spl66_24
| spl66_149 ),
inference(avatar_split_clause,[],[f4313,f1353,f704,f843]) ).
fof(f1353,plain,
( spl66_149
<=> e3 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_149])]) ).
fof(f4313,plain,
( e3 != op(e2,e1)
| ~ spl66_24
| spl66_149 ),
inference(backward_demodulation,[],[f1355,f706]) ).
fof(f1355,plain,
( e3 != op(op(e1,e1),e1)
| spl66_149 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f4397,plain,
( ~ spl66_54
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f4396,f726,f843]) ).
fof(f4396,plain,
( e3 != op(e2,e1)
| ~ spl66_29 ),
inference(forward_demodulation,[],[f236,f728]) ).
fof(f4394,plain,
( ~ spl66_140
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f4273,f1297,f1291]) ).
fof(f4273,plain,
( e3 != op(e0,e2)
| ~ spl66_141 ),
inference(forward_demodulation,[],[f231,f1299]) ).
fof(f4385,plain,
( ~ spl66_43
| spl66_130 ),
inference(avatar_contradiction_clause,[],[f4384]) ).
fof(f4384,plain,
( $false
| ~ spl66_43
| spl66_130 ),
inference(subsumption_resolution,[],[f4382,f794]) ).
fof(f794,plain,
( e2 = op(e3,e2)
| ~ spl66_43 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f4382,plain,
( e2 != op(e3,e2)
| ~ spl66_43
| spl66_130 ),
inference(backward_demodulation,[],[f1234,f794]) ).
fof(f1234,plain,
( e2 != op(e3,op(e3,e2))
| spl66_130 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f4377,plain,
( ~ spl66_38
| ~ spl66_133
| spl66_167 ),
inference(avatar_contradiction_clause,[],[f4376]) ).
fof(f4376,plain,
( $false
| ~ spl66_38
| ~ spl66_133
| spl66_167 ),
inference(subsumption_resolution,[],[f4364,f772]) ).
fof(f772,plain,
( e1 = op(e3,e0)
| ~ spl66_38 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f4364,plain,
( e1 != op(e3,e0)
| ~ spl66_133
| spl66_167 ),
inference(backward_demodulation,[],[f1561,f1254]) ).
fof(f1561,plain,
( e1 != op(op(e0,e0),e0)
| spl66_167 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl66_167
<=> e1 = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_167])]) ).
fof(f4368,plain,
( ~ spl66_24
| ~ spl66_38
| spl66_76
| ~ spl66_133 ),
inference(avatar_contradiction_clause,[],[f4367]) ).
fof(f4367,plain,
( $false
| ~ spl66_24
| ~ spl66_38
| spl66_76
| ~ spl66_133 ),
inference(subsumption_resolution,[],[f4366,f706]) ).
fof(f4366,plain,
( e2 != op(e1,e1)
| ~ spl66_38
| spl66_76
| ~ spl66_133 ),
inference(forward_demodulation,[],[f4362,f772]) ).
fof(f4362,plain,
( e2 != op(op(e3,e0),op(e3,e0))
| spl66_76
| ~ spl66_133 ),
inference(backward_demodulation,[],[f950,f1254]) ).
fof(f950,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| spl66_76 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl66_76
<=> e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_76])]) ).
fof(f4356,plain,
( ~ spl66_142
| ~ spl66_65 ),
inference(avatar_split_clause,[],[f4349,f894,f1305]) ).
fof(f4349,plain,
( e0 != op(e3,e2)
| ~ spl66_65 ),
inference(backward_demodulation,[],[f210,f895]) ).
fof(f4338,plain,
( ~ spl66_142
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f4337,f637,f1305]) ).
fof(f4337,plain,
( e0 != op(e3,e2)
| ~ spl66_9 ),
inference(forward_demodulation,[],[f226,f638]) ).
fof(f4325,plain,
( spl66_65
| ~ spl66_17
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f4323,f1547,f673,f894]) ).
fof(f4323,plain,
( e0 = op(e2,e2)
| ~ spl66_17
| ~ spl66_166 ),
inference(backward_demodulation,[],[f1549,f675]) ).
fof(f675,plain,
( e2 = op(e2,e0)
| ~ spl66_17 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f4289,plain,
( ~ spl66_134
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f4288,f637,f1260]) ).
fof(f1260,plain,
( spl66_134
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_134])]) ).
fof(f4288,plain,
( e0 != op(e1,e3)
| ~ spl66_9 ),
inference(forward_demodulation,[],[f235,f638]) ).
fof(f4283,plain,
( ~ spl66_21
| ~ spl66_9
| spl66_136 ),
inference(avatar_split_clause,[],[f4282,f1269,f637,f691]) ).
fof(f4282,plain,
( e3 != op(e3,e0)
| ~ spl66_9
| spl66_136 ),
inference(forward_demodulation,[],[f1270,f638]) ).
fof(f4271,plain,
( ~ spl66_157
| ~ spl66_55 ),
inference(avatar_split_clause,[],[f4270,f847,f1448]) ).
fof(f4270,plain,
( e3 != op(e1,e3)
| ~ spl66_55 ),
inference(forward_demodulation,[],[f243,f849]) ).
fof(f4269,plain,
( ~ spl66_65
| spl66_93
| ~ spl66_138 ),
inference(avatar_split_clause,[],[f4268,f1279,f1032,f894]) ).
fof(f1032,plain,
( spl66_93
<=> e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_93])]) ).
fof(f4268,plain,
( e0 != op(e2,e2)
| spl66_93
| ~ spl66_138 ),
inference(forward_demodulation,[],[f1034,f1280]) ).
fof(f1280,plain,
( e2 = op(op(e3,e3),e3)
| ~ spl66_138 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1034,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| spl66_93 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f4264,plain,
( ~ spl66_157
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f4260,f1297,f1448]) ).
fof(f4260,plain,
( e3 != op(e1,e3)
| ~ spl66_141 ),
inference(backward_demodulation,[],[f213,f1299]) ).
fof(f213,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f4207,plain,
( ~ spl66_8
| ~ spl66_33
| spl66_49
| ~ spl66_134 ),
inference(avatar_contradiction_clause,[],[f4206]) ).
fof(f4206,plain,
( $false
| ~ spl66_8
| ~ spl66_33
| spl66_49
| ~ spl66_134 ),
inference(subsumption_resolution,[],[f4205,f746]) ).
fof(f4205,plain,
( op(e0,e0) != e2
| ~ spl66_8
| spl66_49
| ~ spl66_134 ),
inference(forward_demodulation,[],[f4197,f1262]) ).
fof(f1262,plain,
( e0 = op(e1,e3)
| ~ spl66_134 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f4197,plain,
( e2 != op(op(e1,e3),op(e1,e3))
| ~ spl66_8
| spl66_49 ),
inference(backward_demodulation,[],[f821,f633]) ).
fof(f4187,plain,
( ~ spl66_1
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f4184,f691,f602]) ).
fof(f4184,plain,
( e3 != op(e3,e3)
| ~ spl66_21 ),
inference(backward_demodulation,[],[f205,f693]) ).
fof(f4178,plain,
( ~ spl66_40
| ~ spl66_4 ),
inference(avatar_split_clause,[],[f4177,f615,f778]) ).
fof(f4177,plain,
( e1 != op(e3,e2)
| ~ spl66_4 ),
inference(forward_demodulation,[],[f206,f617]) ).
fof(f4139,plain,
( ~ spl66_12
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f4138,f731,f650]) ).
fof(f4138,plain,
( e1 != op(e1,e2)
| ~ spl66_30 ),
inference(forward_demodulation,[],[f234,f733]) ).
fof(f4078,plain,
( ~ spl66_6
| ~ spl66_9
| spl66_92 ),
inference(avatar_split_clause,[],[f4077,f1028,f637,f623]) ).
fof(f1028,plain,
( spl66_92
<=> e1 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_92])]) ).
fof(f4077,plain,
( e1 != op(e0,e3)
| ~ spl66_9
| spl66_92 ),
inference(forward_demodulation,[],[f1030,f638]) ).
fof(f1030,plain,
( e1 != op(op(e3,e3),e3)
| spl66_92 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f4072,plain,
( ~ spl66_79
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f4071,f731,f963]) ).
fof(f4071,plain,
( e1 != op(e1,e3)
| ~ spl66_30 ),
inference(forward_demodulation,[],[f215,f733]) ).
fof(f3990,plain,
( ~ spl66_128
| spl66_165 ),
inference(avatar_contradiction_clause,[],[f3989]) ).
fof(f3989,plain,
( $false
| ~ spl66_128
| spl66_165 ),
inference(subsumption_resolution,[],[f3987,f1224]) ).
fof(f3987,plain,
( e2 != op(e0,e2)
| ~ spl66_128
| spl66_165 ),
inference(backward_demodulation,[],[f1538,f1224]) ).
fof(f1538,plain,
( e2 != op(e0,op(e0,e2))
| spl66_165 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f3977,plain,
( spl66_25
| ~ spl66_40
| ~ spl66_130 ),
inference(avatar_split_clause,[],[f3975,f1233,f778,f708]) ).
fof(f3975,plain,
( e2 = op(e3,e1)
| ~ spl66_40
| ~ spl66_130 ),
inference(backward_demodulation,[],[f1235,f780]) ).
fof(f3961,plain,
( ~ spl66_1
| ~ spl66_9 ),
inference(avatar_contradiction_clause,[],[f3960]) ).
fof(f3960,plain,
( $false
| ~ spl66_1
| ~ spl66_9 ),
inference(subsumption_resolution,[],[f3959,f195]) ).
fof(f195,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f3959,plain,
( e0 = e3
| ~ spl66_1
| ~ spl66_9 ),
inference(backward_demodulation,[],[f603,f638]) ).
fof(f603,plain,
( e3 = op(e3,e3)
| ~ spl66_1 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f3937,plain,
( ~ spl66_1
| spl66_136 ),
inference(avatar_contradiction_clause,[],[f3936]) ).
fof(f3936,plain,
( $false
| ~ spl66_1
| spl66_136 ),
inference(subsumption_resolution,[],[f3934,f603]) ).
fof(f3934,plain,
( e3 != op(e3,e3)
| ~ spl66_1
| spl66_136 ),
inference(backward_demodulation,[],[f1270,f603]) ).
fof(f3913,plain,
( spl66_45
| ~ spl66_52
| ~ spl66_148 ),
inference(avatar_split_clause,[],[f3912,f1346,f835,f801]) ).
fof(f3912,plain,
( e2 = op(e2,e3)
| ~ spl66_52
| ~ spl66_148 ),
inference(forward_demodulation,[],[f1348,f837]) ).
fof(f3911,plain,
( ~ spl66_44
| ~ spl66_156 ),
inference(avatar_split_clause,[],[f3910,f1427,f796]) ).
fof(f3910,plain,
( e2 != op(e3,e3)
| ~ spl66_156 ),
inference(backward_demodulation,[],[f235,f1429]) ).
fof(f1429,plain,
( e2 = op(e1,e3)
| ~ spl66_156 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f3908,plain,
( ~ spl66_5
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f3907,f623,f619]) ).
fof(f3907,plain,
( e1 != op(e0,e1)
| ~ spl66_6 ),
inference(forward_demodulation,[],[f207,f625]) ).
fof(f3903,plain,
( ~ spl66_8
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f3902,f623,f632]) ).
fof(f3902,plain,
( e1 != op(e3,e3)
| ~ spl66_6 ),
inference(forward_demodulation,[],[f229,f625]) ).
fof(f3901,plain,
( ~ spl66_125
| ~ spl66_122 ),
inference(avatar_split_clause,[],[f3900,f1172,f1193]) ).
fof(f3900,plain,
( e0 != op(e2,e1)
| ~ spl66_122 ),
inference(forward_demodulation,[],[f238,f1174]) ).
fof(f238,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3893,plain,
( ~ spl66_38
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f3892,f731,f770]) ).
fof(f3892,plain,
( e1 != op(e3,e0)
| ~ spl66_30 ),
inference(forward_demodulation,[],[f240,f733]) ).
fof(f3862,plain,
( ~ spl66_39
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f3861,f632,f774]) ).
fof(f774,plain,
( spl66_39
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_39])]) ).
fof(f3861,plain,
( e1 != op(e3,e1)
| ~ spl66_8 ),
inference(forward_demodulation,[],[f214,f633]) ).
fof(f3795,plain,
( ~ spl66_24
| ~ spl66_125
| ~ spl66_133
| spl66_139 ),
inference(avatar_contradiction_clause,[],[f3794]) ).
fof(f3794,plain,
( $false
| ~ spl66_24
| ~ spl66_125
| ~ spl66_133
| spl66_139 ),
inference(subsumption_resolution,[],[f3792,f1254]) ).
fof(f3792,plain,
( op(e0,e0) != e3
| ~ spl66_24
| ~ spl66_125
| spl66_139 ),
inference(backward_demodulation,[],[f3691,f1195]) ).
fof(f3691,plain,
( e3 != op(op(e2,e1),op(e2,e1))
| ~ spl66_24
| spl66_139 ),
inference(backward_demodulation,[],[f1286,f706]) ).
fof(f1286,plain,
( e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| spl66_139 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1284,plain,
( spl66_139
<=> e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_139])]) ).
fof(f3786,plain,
( ~ spl66_129
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f3785,f918,f1227]) ).
fof(f1227,plain,
( spl66_129
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_129])]) ).
fof(f3785,plain,
( e1 != op(e2,e3)
| ~ spl66_70 ),
inference(forward_demodulation,[],[f237,f920]) ).
fof(f3755,plain,
( ~ spl66_79
| ~ spl66_157 ),
inference(avatar_contradiction_clause,[],[f3754]) ).
fof(f3754,plain,
( $false
| ~ spl66_79
| ~ spl66_157 ),
inference(subsumption_resolution,[],[f3753,f194]) ).
fof(f194,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f3753,plain,
( e1 = e3
| ~ spl66_79
| ~ spl66_157 ),
inference(forward_demodulation,[],[f1450,f965]) ).
fof(f3745,plain,
( ~ spl66_9
| ~ spl66_24
| ~ spl66_54
| spl66_132 ),
inference(avatar_split_clause,[],[f3744,f1243,f843,f704,f637]) ).
fof(f1243,plain,
( spl66_132
<=> e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_132])]) ).
fof(f3744,plain,
( e0 != op(e3,e3)
| ~ spl66_24
| ~ spl66_54
| spl66_132 ),
inference(forward_demodulation,[],[f3743,f845]) ).
fof(f3743,plain,
( e0 != op(op(e2,e1),op(e2,e1))
| ~ spl66_24
| spl66_132 ),
inference(forward_demodulation,[],[f1245,f706]) ).
fof(f1245,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| spl66_132 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f3717,plain,
( ~ spl66_24
| ~ spl66_79
| ~ spl66_121 ),
inference(avatar_contradiction_clause,[],[f3716]) ).
fof(f3716,plain,
( $false
| ~ spl66_24
| ~ spl66_79
| ~ spl66_121 ),
inference(subsumption_resolution,[],[f3715,f190]) ).
fof(f190,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f3715,plain,
( e2 = e3
| ~ spl66_24
| ~ spl66_79
| ~ spl66_121 ),
inference(forward_demodulation,[],[f3580,f706]) ).
fof(f3580,plain,
( e3 = op(e1,e1)
| ~ spl66_79
| ~ spl66_121 ),
inference(backward_demodulation,[],[f1153,f965]) ).
fof(f1153,plain,
( e3 = op(e1,op(e1,e3))
| ~ spl66_121 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1151,plain,
( spl66_121
<=> e3 = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_121])]) ).
fof(f3699,plain,
( spl66_12
| ~ spl66_24
| ~ spl66_152 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3698,plain,
( $false
| spl66_12
| ~ spl66_24
| ~ spl66_152 ),
inference(subsumption_resolution,[],[f3697,f652]) ).
fof(f652,plain,
( e1 != op(e1,e2)
| spl66_12 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f3697,plain,
( e1 = op(e1,e2)
| ~ spl66_24
| ~ spl66_152 ),
inference(forward_demodulation,[],[f1383,f706]) ).
fof(f1383,plain,
( e1 = op(e1,op(e1,e1))
| ~ spl66_152 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f3679,plain,
( ~ spl66_9
| ~ spl66_70
| ~ spl66_127
| spl66_137 ),
inference(avatar_contradiction_clause,[],[f3678]) ).
fof(f3678,plain,
( $false
| ~ spl66_9
| ~ spl66_70
| ~ spl66_127
| spl66_137 ),
inference(subsumption_resolution,[],[f3677,f920]) ).
fof(f3677,plain,
( e1 != op(e2,e2)
| ~ spl66_9
| ~ spl66_127
| spl66_137 ),
inference(forward_demodulation,[],[f3676,f1220]) ).
fof(f3676,plain,
( e1 != op(op(e0,e3),op(e0,e3))
| ~ spl66_9
| spl66_137 ),
inference(forward_demodulation,[],[f1277,f638]) ).
fof(f1277,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| spl66_137 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1275,plain,
( spl66_137
<=> e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_137])]) ).
fof(f3648,plain,
( ~ spl66_140
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f3647,f1252,f1291]) ).
fof(f3647,plain,
( e3 != op(e0,e2)
| ~ spl66_133 ),
inference(forward_demodulation,[],[f245,f1254]) ).
fof(f3620,plain,
( ~ spl66_140
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f3619,f824,f1291]) ).
fof(f3619,plain,
( e3 != op(e0,e2)
| ~ spl66_50 ),
inference(backward_demodulation,[],[f206,f826]) ).
fof(f3612,plain,
( ~ spl66_18
| ~ spl66_125 ),
inference(avatar_split_clause,[],[f3611,f1193,f678]) ).
fof(f3611,plain,
( e0 != op(e0,e1)
| ~ spl66_125 ),
inference(forward_demodulation,[],[f222,f1195]) ).
fof(f3595,plain,
( ~ spl66_65
| ~ spl66_25
| ~ spl66_78
| spl66_132 ),
inference(avatar_split_clause,[],[f3590,f1243,f958,f708,f894]) ).
fof(f3590,plain,
( e0 != op(e2,e2)
| ~ spl66_25
| ~ spl66_78
| spl66_132 ),
inference(backward_demodulation,[],[f3472,f710]) ).
fof(f710,plain,
( e2 = op(e3,e1)
| ~ spl66_25 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f3472,plain,
( e0 != op(op(e3,e1),op(e3,e1))
| ~ spl66_78
| spl66_132 ),
inference(forward_demodulation,[],[f1245,f959]) ).
fof(f3594,plain,
( ~ spl66_25
| spl66_40
| ~ spl66_164 ),
inference(avatar_contradiction_clause,[],[f3593]) ).
fof(f3593,plain,
( $false
| ~ spl66_25
| spl66_40
| ~ spl66_164 ),
inference(subsumption_resolution,[],[f3588,f779]) ).
fof(f779,plain,
( e1 != op(e3,e2)
| spl66_40 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f3588,plain,
( e1 = op(e3,e2)
| ~ spl66_25
| ~ spl66_164 ),
inference(backward_demodulation,[],[f1532,f710]) ).
fof(f1532,plain,
( e1 = op(e3,op(e3,e1))
| ~ spl66_164 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1530,plain,
( spl66_164
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_164])]) ).
fof(f3592,plain,
( ~ spl66_43
| ~ spl66_25 ),
inference(avatar_split_clause,[],[f3587,f708,f792]) ).
fof(f3587,plain,
( e2 != op(e3,e2)
| ~ spl66_25 ),
inference(backward_demodulation,[],[f209,f710]) ).
fof(f209,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3585,plain,
( ~ spl66_46
| ~ spl66_17 ),
inference(avatar_split_clause,[],[f3583,f673,f805]) ).
fof(f3583,plain,
( e2 != op(e2,e2)
| ~ spl66_17 ),
inference(backward_demodulation,[],[f227,f675]) ).
fof(f3579,plain,
( ~ spl66_52
| ~ spl66_55 ),
inference(avatar_split_clause,[],[f3545,f847,f835]) ).
fof(f3545,plain,
( e3 != op(e2,e2)
| ~ spl66_55 ),
inference(forward_demodulation,[],[f237,f849]) ).
fof(f3569,plain,
( spl66_79
| ~ spl66_78
| ~ spl66_152 ),
inference(avatar_split_clause,[],[f3568,f1381,f958,f963]) ).
fof(f3568,plain,
( e1 = op(e1,e3)
| ~ spl66_78
| ~ spl66_152 ),
inference(forward_demodulation,[],[f1383,f959]) ).
fof(f3518,plain,
( ~ spl66_151
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f3517,f678,f1367]) ).
fof(f3517,plain,
( e0 != op(e3,e1)
| ~ spl66_18 ),
inference(forward_demodulation,[],[f202,f680]) ).
fof(f680,plain,
( e0 = op(e0,e1)
| ~ spl66_18 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f3513,plain,
( ~ spl66_33
| ~ spl66_123
| spl66_167 ),
inference(avatar_contradiction_clause,[],[f3512]) ).
fof(f3512,plain,
( $false
| ~ spl66_33
| ~ spl66_123
| spl66_167 ),
inference(subsumption_resolution,[],[f3506,f1178]) ).
fof(f3506,plain,
( e1 != op(e2,e0)
| ~ spl66_33
| spl66_167 ),
inference(backward_demodulation,[],[f1561,f746]) ).
fof(f3481,plain,
( ~ spl66_151
| ~ spl66_78
| spl66_161 ),
inference(avatar_split_clause,[],[f3480,f1486,f958,f1367]) ).
fof(f3480,plain,
( e0 != op(e3,e1)
| ~ spl66_78
| spl66_161 ),
inference(forward_demodulation,[],[f1488,f959]) ).
fof(f3469,plain,
( ~ spl66_40
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f3467,f650,f778]) ).
fof(f3467,plain,
( e1 != op(e3,e2)
| ~ spl66_12 ),
inference(backward_demodulation,[],[f200,f651]) ).
fof(f200,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3466,plain,
( ~ spl66_53
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f3465,f691,f839]) ).
fof(f3465,plain,
( e3 != op(e2,e0)
| ~ spl66_21 ),
inference(forward_demodulation,[],[f242,f693]) ).
fof(f242,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3457,plain,
( ~ spl66_53
| ~ spl66_55 ),
inference(avatar_split_clause,[],[f3327,f847,f839]) ).
fof(f3327,plain,
( e3 != op(e2,e0)
| ~ spl66_55 ),
inference(forward_demodulation,[],[f201,f849]) ).
fof(f3447,plain,
( spl66_21
| ~ spl66_9
| ~ spl66_136 ),
inference(avatar_split_clause,[],[f3423,f1269,f637,f691]) ).
fof(f3423,plain,
( e3 = op(e3,e0)
| ~ spl66_9
| ~ spl66_136 ),
inference(forward_demodulation,[],[f1271,f638]) ).
fof(f3444,plain,
( ~ spl66_3
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f3443,f623,f611]) ).
fof(f3443,plain,
( op(e0,e0) != e1
| ~ spl66_6 ),
inference(forward_demodulation,[],[f223,f625]) ).
fof(f3435,plain,
( ~ spl66_52
| ~ spl66_65 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3434,plain,
( $false
| ~ spl66_52
| ~ spl66_65 ),
inference(subsumption_resolution,[],[f3431,f195]) ).
fof(f3431,plain,
( e0 = e3
| ~ spl66_52
| ~ spl66_65 ),
inference(backward_demodulation,[],[f837,f895]) ).
fof(f3388,plain,
( ~ spl66_30
| ~ spl66_91 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3387,plain,
( $false
| ~ spl66_30
| ~ spl66_91 ),
inference(subsumption_resolution,[],[f3386,f194]) ).
fof(f3386,plain,
( e1 = e3
| ~ spl66_30
| ~ spl66_91 ),
inference(forward_demodulation,[],[f1024,f733]) ).
fof(f1024,plain,
( e3 = op(e1,e0)
| ~ spl66_91 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f3364,plain,
( ~ spl66_65
| ~ spl66_135 ),
inference(avatar_split_clause,[],[f3259,f1264,f894]) ).
fof(f3259,plain,
( e0 != op(e2,e2)
| ~ spl66_135 ),
inference(forward_demodulation,[],[f219,f1266]) ).
fof(f3351,plain,
( ~ spl66_40
| ~ spl66_50 ),
inference(avatar_contradiction_clause,[],[f3350]) ).
fof(f3350,plain,
( $false
| ~ spl66_40
| ~ spl66_50 ),
inference(subsumption_resolution,[],[f3349,f194]) ).
fof(f3349,plain,
( e1 = e3
| ~ spl66_40
| ~ spl66_50 ),
inference(forward_demodulation,[],[f826,f780]) ).
fof(f3333,plain,
( ~ spl66_26
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f3332,f1335,f713]) ).
fof(f713,plain,
( spl66_26
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_26])]) ).
fof(f3332,plain,
( e1 != op(e1,e1)
| ~ spl66_147 ),
inference(forward_demodulation,[],[f198,f1337]) ).
fof(f1337,plain,
( e1 = op(e2,e1)
| ~ spl66_147 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f3324,plain,
( ~ spl66_3
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f3322,f731,f611]) ).
fof(f3322,plain,
( op(e0,e0) != e1
| ~ spl66_30 ),
inference(backward_demodulation,[],[f230,f733]) ).
fof(f3319,plain,
( ~ spl66_89
| ~ spl66_24 ),
inference(avatar_split_clause,[],[f3315,f704,f1014]) ).
fof(f3315,plain,
( e2 != op(e1,e0)
| ~ spl66_24 ),
inference(backward_demodulation,[],[f218,f706]) ).
fof(f3312,plain,
( ~ spl66_129
| ~ spl66_147 ),
inference(avatar_split_clause,[],[f3309,f1335,f1227]) ).
fof(f3309,plain,
( e1 != op(e2,e3)
| ~ spl66_147 ),
inference(backward_demodulation,[],[f208,f1337]) ).
fof(f3305,plain,
( ~ spl66_82
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f3303,f637,f977]) ).
fof(f3303,plain,
( e0 != op(e0,e3)
| ~ spl66_9 ),
inference(backward_demodulation,[],[f229,f638]) ).
fof(f3292,plain,
( ~ spl66_82
| ~ spl66_124
| ~ spl66_160 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3291,plain,
( $false
| ~ spl66_82
| ~ spl66_124
| ~ spl66_160 ),
inference(subsumption_resolution,[],[f3290,f192]) ).
fof(f192,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f3290,plain,
( e0 = e1
| ~ spl66_82
| ~ spl66_124
| ~ spl66_160 ),
inference(forward_demodulation,[],[f3289,f979]) ).
fof(f3289,plain,
( e1 = op(e0,e3)
| ~ spl66_124
| ~ spl66_160 ),
inference(backward_demodulation,[],[f1187,f1478]) ).
fof(f3254,plain,
( spl66_70
| ~ spl66_23
| ~ spl66_162 ),
inference(avatar_split_clause,[],[f3081,f1493,f700,f918]) ).
fof(f3081,plain,
( e1 = op(e2,e2)
| ~ spl66_23
| ~ spl66_162 ),
inference(forward_demodulation,[],[f1495,f702]) ).
fof(f3212,plain,
( ~ spl66_39
| ~ spl66_40 ),
inference(avatar_split_clause,[],[f3211,f778,f774]) ).
fof(f3211,plain,
( e1 != op(e3,e1)
| ~ spl66_40 ),
inference(forward_demodulation,[],[f209,f780]) ).
fof(f3209,plain,
( ~ spl66_17
| ~ spl66_89 ),
inference(avatar_split_clause,[],[f3208,f1014,f673]) ).
fof(f3208,plain,
( e2 != op(e2,e0)
| ~ spl66_89 ),
inference(forward_demodulation,[],[f216,f1016]) ).
fof(f3192,plain,
( ~ spl66_123
| ~ spl66_129 ),
inference(avatar_split_clause,[],[f3188,f1227,f1176]) ).
fof(f3188,plain,
( e1 != op(e2,e0)
| ~ spl66_129 ),
inference(backward_demodulation,[],[f201,f1229]) ).
fof(f1229,plain,
( e1 = op(e2,e3)
| ~ spl66_129 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f3174,plain,
( ~ spl66_3
| spl66_18
| ~ spl66_58 ),
inference(avatar_contradiction_clause,[],[f3173]) ).
fof(f3173,plain,
( $false
| ~ spl66_3
| spl66_18
| ~ spl66_58 ),
inference(subsumption_resolution,[],[f3172,f679]) ).
fof(f679,plain,
( e0 != op(e0,e1)
| spl66_18 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f3172,plain,
( e0 = op(e0,e1)
| ~ spl66_3
| ~ spl66_58 ),
inference(forward_demodulation,[],[f863,f613]) ).
fof(f863,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl66_58 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl66_58
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_58])]) ).
fof(f3160,plain,
( ~ spl66_3
| spl66_77
| ~ spl66_91 ),
inference(avatar_contradiction_clause,[],[f3159]) ).
fof(f3159,plain,
( $false
| ~ spl66_3
| spl66_77
| ~ spl66_91 ),
inference(subsumption_resolution,[],[f3154,f1024]) ).
fof(f3154,plain,
( e3 != op(e1,e0)
| ~ spl66_3
| spl66_77 ),
inference(backward_demodulation,[],[f954,f613]) ).
fof(f3148,plain,
( ~ spl66_29
| ~ spl66_39 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3147,plain,
( $false
| ~ spl66_29
| ~ spl66_39 ),
inference(subsumption_resolution,[],[f3145,f194]) ).
fof(f3145,plain,
( e1 = e3
| ~ spl66_29
| ~ spl66_39 ),
inference(backward_demodulation,[],[f728,f776]) ).
fof(f776,plain,
( e1 = op(e3,e1)
| ~ spl66_39 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f3125,plain,
( ~ spl66_42
| ~ spl66_44 ),
inference(avatar_split_clause,[],[f2855,f796,f788]) ).
fof(f2855,plain,
( e2 != op(e3,e0)
| ~ spl66_44 ),
inference(forward_demodulation,[],[f205,f798]) ).
fof(f3093,plain,
( ~ spl66_52
| ~ spl66_70 ),
inference(avatar_contradiction_clause,[],[f3092]) ).
fof(f3092,plain,
( $false
| ~ spl66_52
| ~ spl66_70 ),
inference(subsumption_resolution,[],[f3091,f194]) ).
fof(f3091,plain,
( e1 = e3
| ~ spl66_52
| ~ spl66_70 ),
inference(forward_demodulation,[],[f837,f920]) ).
fof(f3066,plain,
( ~ spl66_123
| ~ spl66_38 ),
inference(avatar_split_clause,[],[f3065,f770,f1176]) ).
fof(f3065,plain,
( e1 != op(e2,e0)
| ~ spl66_38 ),
inference(forward_demodulation,[],[f242,f772]) ).
fof(f3019,plain,
( ~ spl66_160
| ~ spl66_140 ),
inference(avatar_split_clause,[],[f3018,f1291,f1476]) ).
fof(f3018,plain,
( e3 != op(e0,e1)
| ~ spl66_140 ),
inference(forward_demodulation,[],[f221,f1293]) ).
fof(f3015,plain,
( ~ spl66_129
| ~ spl66_44
| spl66_92 ),
inference(avatar_split_clause,[],[f3014,f1028,f796,f1227]) ).
fof(f3014,plain,
( e1 != op(e2,e3)
| ~ spl66_44
| spl66_92 ),
inference(forward_demodulation,[],[f1030,f798]) ).
fof(f2972,plain,
( ~ spl66_5
| ~ spl66_18 ),
inference(avatar_contradiction_clause,[],[f2971]) ).
fof(f2971,plain,
( $false
| ~ spl66_5
| ~ spl66_18 ),
inference(subsumption_resolution,[],[f2970,f192]) ).
fof(f2970,plain,
( e0 = e1
| ~ spl66_5
| ~ spl66_18 ),
inference(forward_demodulation,[],[f621,f680]) ).
fof(f2968,plain,
( spl66_8
| ~ spl66_29
| ~ spl66_164 ),
inference(avatar_contradiction_clause,[],[f2967]) ).
fof(f2967,plain,
( $false
| spl66_8
| ~ spl66_29
| ~ spl66_164 ),
inference(subsumption_resolution,[],[f2966,f634]) ).
fof(f634,plain,
( e1 != op(e3,e3)
| spl66_8 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f2966,plain,
( e1 = op(e3,e3)
| ~ spl66_29
| ~ spl66_164 ),
inference(forward_demodulation,[],[f1532,f728]) ).
fof(f2948,plain,
( ~ spl66_25
| ~ spl66_23 ),
inference(avatar_split_clause,[],[f2947,f700,f708]) ).
fof(f2947,plain,
( e2 != op(e3,e1)
| ~ spl66_23 ),
inference(forward_demodulation,[],[f236,f702]) ).
fof(f2925,plain,
( ~ spl66_38
| ~ spl66_96
| spl66_151 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2924,plain,
( $false
| ~ spl66_38
| ~ spl66_96
| spl66_151 ),
inference(subsumption_resolution,[],[f2834,f1368]) ).
fof(f1368,plain,
( e0 != op(e3,e1)
| spl66_151 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f2834,plain,
( e0 = op(e3,e1)
| ~ spl66_38
| ~ spl66_96 ),
inference(forward_demodulation,[],[f1050,f772]) ).
fof(f2909,plain,
( spl66_3
| ~ spl66_18
| ~ spl66_124 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2908,plain,
( $false
| spl66_3
| ~ spl66_18
| ~ spl66_124 ),
inference(subsumption_resolution,[],[f2906,f612]) ).
fof(f612,plain,
( op(e0,e0) != e1
| spl66_3 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f2906,plain,
( op(e0,e0) = e1
| ~ spl66_18
| ~ spl66_124 ),
inference(backward_demodulation,[],[f1187,f680]) ).
fof(f2900,plain,
( ~ spl66_133
| ~ spl66_53 ),
inference(avatar_split_clause,[],[f2899,f839,f1252]) ).
fof(f2899,plain,
( op(e0,e0) != e3
| ~ spl66_53 ),
inference(forward_demodulation,[],[f212,f841]) ).
fof(f841,plain,
( e3 = op(e2,e0)
| ~ spl66_53 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f2877,plain,
( ~ spl66_4
| ~ spl66_65
| spl66_163 ),
inference(avatar_contradiction_clause,[],[f2876]) ).
fof(f2876,plain,
( $false
| ~ spl66_4
| ~ spl66_65
| spl66_163 ),
inference(subsumption_resolution,[],[f2875,f617]) ).
fof(f2875,plain,
( e1 != op(e0,e2)
| ~ spl66_65
| spl66_163 ),
inference(forward_demodulation,[],[f1521,f895]) ).
fof(f2873,plain,
( ~ spl66_3
| ~ spl66_4 ),
inference(avatar_split_clause,[],[f2858,f615,f611]) ).
fof(f2858,plain,
( op(e0,e0) != e1
| ~ spl66_4 ),
inference(forward_demodulation,[],[f245,f617]) ).
fof(f2854,plain,
( ~ spl66_23
| ~ spl66_147 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f2853,plain,
( $false
| ~ spl66_23
| ~ spl66_147 ),
inference(subsumption_resolution,[],[f2852,f191]) ).
fof(f191,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2852,plain,
( e1 = e2
| ~ spl66_23
| ~ spl66_147 ),
inference(forward_demodulation,[],[f702,f1337]) ).
fof(f2838,plain,
( ~ spl66_78
| ~ spl66_4
| ~ spl66_65
| spl66_155 ),
inference(avatar_split_clause,[],[f2835,f1412,f894,f615,f958]) ).
fof(f2835,plain,
( e3 != op(e1,e1)
| ~ spl66_4
| ~ spl66_65
| spl66_155 ),
inference(backward_demodulation,[],[f2807,f617]) ).
fof(f2807,plain,
( e3 != op(op(e0,e2),op(e0,e2))
| ~ spl66_65
| spl66_155 ),
inference(forward_demodulation,[],[f1414,f895]) ).
fof(f2798,plain,
( spl66_4
| ~ spl66_22
| ~ spl66_124 ),
inference(avatar_split_clause,[],[f2797,f1185,f696,f615]) ).
fof(f2797,plain,
( e1 = op(e0,e2)
| ~ spl66_22
| ~ spl66_124 ),
inference(forward_demodulation,[],[f1187,f698]) ).
fof(f2794,plain,
( ~ spl66_122
| ~ spl66_85 ),
inference(avatar_split_clause,[],[f2793,f992,f1172]) ).
fof(f992,plain,
( spl66_85
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_85])]) ).
fof(f2793,plain,
( e0 != op(e2,e0)
| ~ spl66_85 ),
inference(forward_demodulation,[],[f212,f993]) ).
fof(f993,plain,
( e0 = op(e0,e0)
| ~ spl66_85 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f2792,plain,
( spl66_17
| ~ spl66_65
| ~ spl66_148 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2791,plain,
( $false
| spl66_17
| ~ spl66_65
| ~ spl66_148 ),
inference(subsumption_resolution,[],[f2787,f674]) ).
fof(f674,plain,
( e2 != op(e2,e0)
| spl66_17 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f2787,plain,
( e2 = op(e2,e0)
| ~ spl66_65
| ~ spl66_148 ),
inference(backward_demodulation,[],[f1348,f895]) ).
fof(f2790,plain,
( ~ spl66_122
| ~ spl66_65 ),
inference(avatar_split_clause,[],[f2788,f894,f1172]) ).
fof(f2788,plain,
( e0 != op(e2,e0)
| ~ spl66_65 ),
inference(backward_demodulation,[],[f227,f895]) ).
fof(f2777,plain,
( spl66_38
| ~ spl66_151
| ~ spl66_164 ),
inference(avatar_split_clause,[],[f2776,f1530,f1367,f770]) ).
fof(f2776,plain,
( e1 = op(e3,e0)
| ~ spl66_151
| ~ spl66_164 ),
inference(forward_demodulation,[],[f1532,f1369]) ).
fof(f2775,plain,
( ~ spl66_140
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f2774,f1565,f1291]) ).
fof(f2774,plain,
( e3 != op(e0,e2)
| ~ spl66_168 ),
inference(backward_demodulation,[],[f241,f1567]) ).
fof(f2771,plain,
( ~ spl66_127
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f2770,f696,f1218]) ).
fof(f2770,plain,
( e2 != op(e0,e3)
| ~ spl66_22 ),
inference(forward_demodulation,[],[f207,f698]) ).
fof(f2756,plain,
( ~ spl66_82
| ~ spl66_134 ),
inference(avatar_split_clause,[],[f2674,f1260,f977]) ).
fof(f2674,plain,
( e0 != op(e0,e3)
| ~ spl66_134 ),
inference(forward_demodulation,[],[f211,f1262]) ).
fof(f2700,plain,
( ~ spl66_8
| ~ spl66_40 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| ~ spl66_8
| ~ spl66_40 ),
inference(subsumption_resolution,[],[f2453,f780]) ).
fof(f2453,plain,
( e1 != op(e3,e2)
| ~ spl66_8 ),
inference(forward_demodulation,[],[f226,f633]) ).
fof(f2663,plain,
( ~ spl66_21
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f2662,f1252,f691]) ).
fof(f2662,plain,
( e3 != op(e3,e0)
| ~ spl66_133 ),
inference(forward_demodulation,[],[f224,f1254]) ).
fof(f224,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2655,plain,
( ~ spl66_29
| ~ spl66_151 ),
inference(avatar_contradiction_clause,[],[f2654]) ).
fof(f2654,plain,
( $false
| ~ spl66_29
| ~ spl66_151 ),
inference(subsumption_resolution,[],[f2652,f195]) ).
fof(f2652,plain,
( e0 = e3
| ~ spl66_29
| ~ spl66_151 ),
inference(backward_demodulation,[],[f728,f1369]) ).
fof(f2632,plain,
( ~ spl66_45
| ~ spl66_55 ),
inference(avatar_contradiction_clause,[],[f2631]) ).
fof(f2631,plain,
( $false
| ~ spl66_45
| ~ spl66_55 ),
inference(subsumption_resolution,[],[f2630,f190]) ).
fof(f2630,plain,
( e2 = e3
| ~ spl66_45
| ~ spl66_55 ),
inference(forward_demodulation,[],[f849,f803]) ).
fof(f2615,plain,
( spl66_52
| ~ spl66_45
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f2578,f1621,f801,f835]) ).
fof(f1621,plain,
( spl66_170
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_170])]) ).
fof(f2578,plain,
( e3 = op(e2,e2)
| ~ spl66_45
| ~ spl66_170 ),
inference(forward_demodulation,[],[f1623,f803]) ).
fof(f1623,plain,
( e3 = op(e2,op(e2,e3))
| ~ spl66_170 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f2614,plain,
( ~ spl66_24
| ~ spl66_78 ),
inference(avatar_contradiction_clause,[],[f2613]) ).
fof(f2613,plain,
( $false
| ~ spl66_24
| ~ spl66_78 ),
inference(subsumption_resolution,[],[f2612,f190]) ).
fof(f2612,plain,
( e2 = e3
| ~ spl66_24
| ~ spl66_78 ),
inference(backward_demodulation,[],[f959,f706]) ).
fof(f2604,plain,
( ~ spl66_25
| ~ spl66_78
| spl66_131 ),
inference(avatar_split_clause,[],[f2561,f1239,f958,f708]) ).
fof(f2561,plain,
( e2 != op(e3,e1)
| ~ spl66_78
| spl66_131 ),
inference(backward_demodulation,[],[f1241,f959]) ).
fof(f2599,plain,
( ~ spl66_134
| ~ spl66_157 ),
inference(avatar_contradiction_clause,[],[f2598]) ).
fof(f2598,plain,
( $false
| ~ spl66_134
| ~ spl66_157 ),
inference(subsumption_resolution,[],[f2597,f195]) ).
fof(f2597,plain,
( e0 = e3
| ~ spl66_134
| ~ spl66_157 ),
inference(backward_demodulation,[],[f1450,f1262]) ).
fof(f2586,plain,
( ~ spl66_58
| spl66_82
| ~ spl66_133 ),
inference(avatar_contradiction_clause,[],[f2585]) ).
fof(f2585,plain,
( $false
| ~ spl66_58
| spl66_82
| ~ spl66_133 ),
inference(subsumption_resolution,[],[f2584,f978]) ).
fof(f978,plain,
( e0 != op(e0,e3)
| spl66_82 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f2584,plain,
( e0 = op(e0,e3)
| ~ spl66_58
| ~ spl66_133 ),
inference(forward_demodulation,[],[f863,f1254]) ).
fof(f2577,plain,
( spl66_126
| ~ spl66_53
| ~ spl66_166 ),
inference(avatar_split_clause,[],[f2336,f1547,f839,f1197]) ).
fof(f1197,plain,
( spl66_126
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_126])]) ).
fof(f2336,plain,
( e0 = op(e2,e3)
| ~ spl66_53
| ~ spl66_166 ),
inference(forward_demodulation,[],[f1549,f841]) ).
fof(f2546,plain,
( ~ spl66_26
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f2545,f731,f713]) ).
fof(f2545,plain,
( e1 != op(e1,e1)
| ~ spl66_30 ),
inference(forward_demodulation,[],[f218,f733]) ).
fof(f2534,plain,
( ~ spl66_14
| spl66_33
| ~ spl66_165 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2533,plain,
( $false
| ~ spl66_14
| spl66_33
| ~ spl66_165 ),
inference(subsumption_resolution,[],[f2508,f747]) ).
fof(f747,plain,
( op(e0,e0) != e2
| spl66_33 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f2508,plain,
( op(e0,e0) = e2
| ~ spl66_14
| ~ spl66_165 ),
inference(forward_demodulation,[],[f1539,f661]) ).
fof(f2513,plain,
( ~ spl66_129
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f2512,f632,f1227]) ).
fof(f2512,plain,
( e1 != op(e2,e3)
| ~ spl66_8 ),
inference(forward_demodulation,[],[f217,f633]) ).
fof(f2494,plain,
( ~ spl66_45
| ~ spl66_126 ),
inference(avatar_contradiction_clause,[],[f2493]) ).
fof(f2493,plain,
( $false
| ~ spl66_45
| ~ spl66_126 ),
inference(subsumption_resolution,[],[f2492,f193]) ).
fof(f2492,plain,
( e0 = e2
| ~ spl66_45
| ~ spl66_126 ),
inference(forward_demodulation,[],[f803,f1199]) ).
fof(f1199,plain,
( e0 = op(e2,e3)
| ~ spl66_126 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f2482,plain,
( ~ spl66_85
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f2481,f1395,f992]) ).
fof(f1395,plain,
( spl66_154
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_154])]) ).
fof(f2481,plain,
( e0 != op(e0,e0)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f224,f1397]) ).
fof(f1397,plain,
( e0 = op(e3,e0)
| ~ spl66_154 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f2480,plain,
( ~ spl66_85
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f2479,f659,f992]) ).
fof(f2479,plain,
( e0 != op(e0,e0)
| ~ spl66_14 ),
inference(forward_demodulation,[],[f245,f661]) ).
fof(f2478,plain,
( ~ spl66_3
| ~ spl66_5 ),
inference(avatar_split_clause,[],[f2477,f619,f611]) ).
fof(f2477,plain,
( op(e0,e0) != e1
| ~ spl66_5 ),
inference(forward_demodulation,[],[f199,f621]) ).
fof(f2476,plain,
( ~ spl66_8
| ~ spl66_33
| ~ spl66_53
| spl66_169 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| ~ spl66_8
| ~ spl66_33
| ~ spl66_53
| spl66_169 ),
inference(subsumption_resolution,[],[f2474,f633]) ).
fof(f2474,plain,
( e1 != op(e3,e3)
| ~ spl66_33
| ~ spl66_53
| spl66_169 ),
inference(forward_demodulation,[],[f2473,f841]) ).
fof(f2473,plain,
( e1 != op(op(e2,e0),op(e2,e0))
| ~ spl66_33
| spl66_169 ),
inference(forward_demodulation,[],[f1572,f746]) ).
fof(f2457,plain,
( ~ spl66_14
| ~ spl66_140 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2456,plain,
( $false
| ~ spl66_14
| ~ spl66_140 ),
inference(subsumption_resolution,[],[f2454,f195]) ).
fof(f2454,plain,
( e0 = e3
| ~ spl66_14
| ~ spl66_140 ),
inference(backward_demodulation,[],[f1293,f661]) ).
fof(f2452,plain,
( ~ spl66_53
| ~ spl66_54 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2451,plain,
( $false
| ~ spl66_53
| ~ spl66_54 ),
inference(subsumption_resolution,[],[f2450,f841]) ).
fof(f2450,plain,
( e3 != op(e2,e0)
| ~ spl66_54 ),
inference(forward_demodulation,[],[f238,f845]) ).
fof(f2440,plain,
( ~ spl66_8
| ~ spl66_50
| ~ spl66_130 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2439,plain,
( $false
| ~ spl66_8
| ~ spl66_50
| ~ spl66_130 ),
inference(subsumption_resolution,[],[f2438,f191]) ).
fof(f2438,plain,
( e1 = e2
| ~ spl66_8
| ~ spl66_50
| ~ spl66_130 ),
inference(forward_demodulation,[],[f2437,f633]) ).
fof(f2437,plain,
( e2 = op(e3,e3)
| ~ spl66_50
| ~ spl66_130 ),
inference(forward_demodulation,[],[f1235,f826]) ).
fof(f2431,plain,
( ~ spl66_33
| ~ spl66_133 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl66_33
| ~ spl66_133 ),
inference(subsumption_resolution,[],[f2429,f190]) ).
fof(f2429,plain,
( e2 = e3
| ~ spl66_33
| ~ spl66_133 ),
inference(forward_demodulation,[],[f1254,f746]) ).
fof(f2417,plain,
( spl66_14
| ~ spl66_33
| ~ spl66_58 ),
inference(avatar_split_clause,[],[f2416,f861,f745,f659]) ).
fof(f2416,plain,
( e0 = op(e0,e2)
| ~ spl66_33
| ~ spl66_58 ),
inference(forward_demodulation,[],[f863,f746]) ).
fof(f2383,plain,
( ~ spl66_8
| ~ spl66_25
| ~ spl66_136 ),
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2382,plain,
( $false
| ~ spl66_8
| ~ spl66_25
| ~ spl66_136 ),
inference(subsumption_resolution,[],[f2381,f190]) ).
fof(f2381,plain,
( e2 = e3
| ~ spl66_8
| ~ spl66_25
| ~ spl66_136 ),
inference(forward_demodulation,[],[f2375,f710]) ).
fof(f2375,plain,
( e3 = op(e3,e1)
| ~ spl66_8
| ~ spl66_136 ),
inference(backward_demodulation,[],[f1271,f633]) ).
fof(f2332,plain,
( ~ spl66_128
| ~ spl66_140 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2331,plain,
( $false
| ~ spl66_128
| ~ spl66_140 ),
inference(subsumption_resolution,[],[f2330,f190]) ).
fof(f2330,plain,
( e2 = e3
| ~ spl66_128
| ~ spl66_140 ),
inference(forward_demodulation,[],[f1293,f1224]) ).
fof(f2325,plain,
( ~ spl66_68
| ~ spl66_78 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2324,plain,
( $false
| ~ spl66_68
| ~ spl66_78 ),
inference(subsumption_resolution,[],[f2323,f195]) ).
fof(f2323,plain,
( e0 = e3
| ~ spl66_68
| ~ spl66_78 ),
inference(forward_demodulation,[],[f959,f910]) ).
fof(f2304,plain,
( ~ spl66_127
| ~ spl66_128 ),
inference(avatar_contradiction_clause,[],[f2303]) ).
fof(f2303,plain,
( $false
| ~ spl66_127
| ~ spl66_128 ),
inference(subsumption_resolution,[],[f2302,f1224]) ).
fof(f2302,plain,
( e2 != op(e0,e2)
| ~ spl66_127 ),
inference(forward_demodulation,[],[f241,f1220]) ).
fof(f2294,plain,
( spl66_53
| ~ spl66_126
| ~ spl66_170 ),
inference(avatar_split_clause,[],[f2293,f1621,f1197,f839]) ).
fof(f2293,plain,
( e3 = op(e2,e0)
| ~ spl66_126
| ~ spl66_170 ),
inference(forward_demodulation,[],[f1623,f1199]) ).
fof(f2275,plain,
( ~ spl66_33
| ~ spl66_85 ),
inference(avatar_contradiction_clause,[],[f2274]) ).
fof(f2274,plain,
( $false
| ~ spl66_33
| ~ spl66_85 ),
inference(subsumption_resolution,[],[f2273,f193]) ).
fof(f2273,plain,
( e0 = e2
| ~ spl66_33
| ~ spl66_85 ),
inference(forward_demodulation,[],[f746,f993]) ).
fof(f2269,plain,
( ~ spl66_12
| ~ spl66_153 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2268,plain,
( $false
| ~ spl66_12
| ~ spl66_153 ),
inference(subsumption_resolution,[],[f2267,f191]) ).
fof(f2267,plain,
( e1 = e2
| ~ spl66_12
| ~ spl66_153 ),
inference(forward_demodulation,[],[f1390,f651]) ).
fof(f2208,plain,
( ~ spl66_68
| spl66_149
| ~ spl66_160 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
fof(f2207,plain,
( $false
| ~ spl66_68
| spl66_149
| ~ spl66_160 ),
inference(subsumption_resolution,[],[f2206,f1478]) ).
fof(f2206,plain,
( e3 != op(e0,e1)
| ~ spl66_68
| spl66_149 ),
inference(forward_demodulation,[],[f1355,f910]) ).
fof(f2182,plain,
( ~ spl66_126
| ~ spl66_82 ),
inference(avatar_split_clause,[],[f2181,f977,f1197]) ).
fof(f2181,plain,
( e0 != op(e2,e3)
| ~ spl66_82 ),
inference(forward_demodulation,[],[f220,f979]) ).
fof(f2173,plain,
( ~ spl66_122
| ~ spl66_126 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2172,plain,
( $false
| ~ spl66_122
| ~ spl66_126 ),
inference(subsumption_resolution,[],[f2171,f1174]) ).
fof(f2171,plain,
( e0 != op(e2,e0)
| ~ spl66_126 ),
inference(forward_demodulation,[],[f201,f1199]) ).
fof(f2166,plain,
( ~ spl66_82
| ~ spl66_168 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2165,plain,
( $false
| ~ spl66_82
| ~ spl66_168 ),
inference(subsumption_resolution,[],[f2164,f195]) ).
fof(f2164,plain,
( e0 = e3
| ~ spl66_82
| ~ spl66_168 ),
inference(backward_demodulation,[],[f1567,f979]) ).
fof(f2155,plain,
( ~ spl66_68
| ~ spl66_79
| ~ spl66_121 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2154,plain,
( $false
| ~ spl66_68
| ~ spl66_79
| ~ spl66_121 ),
inference(subsumption_resolution,[],[f2153,f195]) ).
fof(f2153,plain,
( e0 = e3
| ~ spl66_68
| ~ spl66_79
| ~ spl66_121 ),
inference(forward_demodulation,[],[f2152,f910]) ).
fof(f2152,plain,
( e3 = op(e1,e1)
| ~ spl66_79
| ~ spl66_121 ),
inference(forward_demodulation,[],[f1153,f965]) ).
fof(f2151,plain,
( ~ spl66_23
| ~ spl66_54 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| ~ spl66_23
| ~ spl66_54 ),
inference(subsumption_resolution,[],[f2149,f190]) ).
fof(f2149,plain,
( e2 = e3
| ~ spl66_23
| ~ spl66_54 ),
inference(backward_demodulation,[],[f845,f702]) ).
fof(f2120,plain,
( ~ spl66_3
| ~ spl66_44
| ~ spl66_126
| spl66_137 ),
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2119,plain,
( $false
| ~ spl66_3
| ~ spl66_44
| ~ spl66_126
| spl66_137 ),
inference(subsumption_resolution,[],[f2102,f613]) ).
fof(f2102,plain,
( op(e0,e0) != e1
| ~ spl66_44
| ~ spl66_126
| spl66_137 ),
inference(backward_demodulation,[],[f1968,f1199]) ).
fof(f1968,plain,
( e1 != op(op(e2,e3),op(e2,e3))
| ~ spl66_44
| spl66_137 ),
inference(backward_demodulation,[],[f1277,f798]) ).
fof(f2111,plain,
( ~ spl66_79
| ~ spl66_156 ),
inference(avatar_contradiction_clause,[],[f2110]) ).
fof(f2110,plain,
( $false
| ~ spl66_79
| ~ spl66_156 ),
inference(subsumption_resolution,[],[f2109,f191]) ).
fof(f2109,plain,
( e1 = e2
| ~ spl66_79
| ~ spl66_156 ),
inference(forward_demodulation,[],[f1429,f965]) ).
fof(f2095,plain,
( spl66_30
| ~ spl66_68
| ~ spl66_152 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| spl66_30
| ~ spl66_68
| ~ spl66_152 ),
inference(subsumption_resolution,[],[f1930,f732]) ).
fof(f732,plain,
( e1 != op(e1,e0)
| spl66_30 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1930,plain,
( e1 = op(e1,e0)
| ~ spl66_68
| ~ spl66_152 ),
inference(backward_demodulation,[],[f1383,f910]) ).
fof(f2081,plain,
( ~ spl66_129
| ~ spl66_79 ),
inference(avatar_split_clause,[],[f2080,f963,f1227]) ).
fof(f2080,plain,
( e1 != op(e2,e3)
| ~ spl66_79 ),
inference(backward_demodulation,[],[f243,f965]) ).
fof(f2078,plain,
( ~ spl66_91
| spl66_134
| ~ spl66_144 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2077,plain,
( $false
| ~ spl66_91
| spl66_134
| ~ spl66_144 ),
inference(subsumption_resolution,[],[f2076,f1261]) ).
fof(f1261,plain,
( e0 != op(e1,e3)
| spl66_134 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f2076,plain,
( e0 = op(e1,e3)
| ~ spl66_91
| ~ spl66_144 ),
inference(forward_demodulation,[],[f1318,f1024]) ).
fof(f2044,plain,
( ~ spl66_3
| ~ spl66_44
| spl66_76
| ~ spl66_91 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2043,plain,
( $false
| ~ spl66_3
| ~ spl66_44
| spl66_76
| ~ spl66_91 ),
inference(subsumption_resolution,[],[f2042,f798]) ).
fof(f2042,plain,
( e2 != op(e3,e3)
| ~ spl66_3
| spl66_76
| ~ spl66_91 ),
inference(forward_demodulation,[],[f1824,f1024]) ).
fof(f1824,plain,
( e2 != op(op(e1,e0),op(e1,e0))
| ~ spl66_3
| spl66_76 ),
inference(forward_demodulation,[],[f950,f613]) ).
fof(f2040,plain,
( ~ spl66_45
| ~ spl66_44 ),
inference(avatar_split_clause,[],[f2004,f796,f801]) ).
fof(f2004,plain,
( e2 != op(e2,e3)
| ~ spl66_44 ),
inference(forward_demodulation,[],[f217,f798]) ).
fof(f2031,plain,
( ~ spl66_134
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f2030,f908,f1260]) ).
fof(f2030,plain,
( e0 != op(e1,e3)
| ~ spl66_68 ),
inference(forward_demodulation,[],[f233,f910]) ).
fof(f2029,plain,
( ~ spl66_89
| ~ spl66_3
| spl66_36 ),
inference(avatar_split_clause,[],[f1861,f759,f611,f1014]) ).
fof(f759,plain,
( spl66_36
<=> e2 = op(op(e0,e0),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_36])]) ).
fof(f1861,plain,
( e2 != op(e1,e0)
| ~ spl66_3
| spl66_36 ),
inference(forward_demodulation,[],[f761,f613]) ).
fof(f761,plain,
( e2 != op(op(e0,e0),e0)
| spl66_36 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f2017,plain,
( ~ spl66_126
| ~ spl66_44
| spl66_48 ),
inference(avatar_split_clause,[],[f1970,f815,f796,f1197]) ).
fof(f815,plain,
( spl66_48
<=> e0 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_48])]) ).
fof(f1970,plain,
( e0 != op(e2,e3)
| ~ spl66_44
| spl66_48 ),
inference(backward_demodulation,[],[f817,f798]) ).
fof(f817,plain,
( e0 != op(op(e3,e3),e3)
| spl66_48 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1997,plain,
( ~ spl66_9
| ~ spl66_70
| ~ spl66_141
| spl66_159 ),
inference(avatar_split_clause,[],[f1996,f1471,f1297,f918,f637]) ).
fof(f1996,plain,
( e0 != op(e3,e3)
| ~ spl66_70
| ~ spl66_141
| spl66_159 ),
inference(forward_demodulation,[],[f1993,f1299]) ).
fof(f1993,plain,
( e0 != op(op(e1,e2),op(e1,e2))
| ~ spl66_70
| spl66_159 ),
inference(backward_demodulation,[],[f1473,f920]) ).
fof(f1984,plain,
( ~ spl66_18
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f1983,f908,f678]) ).
fof(f1983,plain,
( e0 != op(e0,e1)
| ~ spl66_68 ),
inference(forward_demodulation,[],[f239,f910]) ).
fof(f1973,plain,
( ~ spl66_44
| ~ spl66_68
| spl66_93
| ~ spl66_129 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1972,plain,
( $false
| ~ spl66_44
| ~ spl66_68
| spl66_93
| ~ spl66_129 ),
inference(subsumption_resolution,[],[f1971,f910]) ).
fof(f1971,plain,
( e0 != op(e1,e1)
| ~ spl66_44
| spl66_93
| ~ spl66_129 ),
inference(forward_demodulation,[],[f1969,f1229]) ).
fof(f1969,plain,
( e0 != op(op(e2,e3),op(e2,e3))
| ~ spl66_44
| spl66_93 ),
inference(backward_demodulation,[],[f1034,f798]) ).
fof(f1959,plain,
( ~ spl66_1
| ~ spl66_168 ),
inference(avatar_split_clause,[],[f1958,f1565,f602]) ).
fof(f1958,plain,
( e3 != op(e3,e3)
| ~ spl66_168 ),
inference(forward_demodulation,[],[f229,f1567]) ).
fof(f1939,plain,
( ~ spl66_52
| ~ spl66_22
| ~ spl66_68
| spl66_139 ),
inference(avatar_split_clause,[],[f1938,f1284,f908,f696,f835]) ).
fof(f1938,plain,
( e3 != op(e2,e2)
| ~ spl66_22
| ~ spl66_68
| spl66_139 ),
inference(forward_demodulation,[],[f1931,f698]) ).
fof(f1931,plain,
( e3 != op(op(e0,e1),op(e0,e1))
| ~ spl66_68
| spl66_139 ),
inference(backward_demodulation,[],[f1286,f910]) ).
fof(f1932,plain,
( ~ spl66_151
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f1929,f908,f1367]) ).
fof(f1929,plain,
( e0 != op(e3,e1)
| ~ spl66_68 ),
inference(backward_demodulation,[],[f244,f910]) ).
fof(f1924,plain,
( ~ spl66_21
| ~ spl66_154 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl66_21
| ~ spl66_154 ),
inference(subsumption_resolution,[],[f1922,f195]) ).
fof(f1922,plain,
( e0 = e3
| ~ spl66_21
| ~ spl66_154 ),
inference(forward_demodulation,[],[f693,f1397]) ).
fof(f1921,plain,
( ~ spl66_17
| ~ spl66_53 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1920,plain,
( $false
| ~ spl66_17
| ~ spl66_53 ),
inference(subsumption_resolution,[],[f1919,f190]) ).
fof(f1919,plain,
( e2 = e3
| ~ spl66_17
| ~ spl66_53 ),
inference(backward_demodulation,[],[f841,f675]) ).
fof(f1914,plain,
( ~ spl66_79
| ~ spl66_134 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1913,plain,
( $false
| ~ spl66_79
| ~ spl66_134 ),
inference(subsumption_resolution,[],[f1912,f192]) ).
fof(f1912,plain,
( e0 = e1
| ~ spl66_79
| ~ spl66_134 ),
inference(forward_demodulation,[],[f965,f1262]) ).
fof(f1906,plain,
( ~ spl66_54
| ~ spl66_125 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| ~ spl66_54
| ~ spl66_125 ),
inference(subsumption_resolution,[],[f1904,f195]) ).
fof(f1904,plain,
( e0 = e3
| ~ spl66_54
| ~ spl66_125 ),
inference(forward_demodulation,[],[f845,f1195]) ).
fof(f1899,plain,
( ~ spl66_9
| ~ spl66_154 ),
inference(avatar_split_clause,[],[f1898,f1395,f637]) ).
fof(f1898,plain,
( e0 != op(e3,e3)
| ~ spl66_154 ),
inference(forward_demodulation,[],[f205,f1397]) ).
fof(f1887,plain,
( ~ spl66_53
| ~ spl66_123 ),
inference(avatar_contradiction_clause,[],[f1886]) ).
fof(f1886,plain,
( $false
| ~ spl66_53
| ~ spl66_123 ),
inference(subsumption_resolution,[],[f1885,f194]) ).
fof(f1885,plain,
( e1 = e3
| ~ spl66_53
| ~ spl66_123 ),
inference(forward_demodulation,[],[f841,f1178]) ).
fof(f1883,plain,
( ~ spl66_8
| ~ spl66_65
| spl66_93
| ~ spl66_156 ),
inference(avatar_contradiction_clause,[],[f1882]) ).
fof(f1882,plain,
( $false
| ~ spl66_8
| ~ spl66_65
| spl66_93
| ~ spl66_156 ),
inference(subsumption_resolution,[],[f1878,f895]) ).
fof(f1878,plain,
( e0 != op(e2,e2)
| ~ spl66_8
| spl66_93
| ~ spl66_156 ),
inference(backward_demodulation,[],[f1706,f1429]) ).
fof(f1706,plain,
( e0 != op(op(e1,e3),op(e1,e3))
| ~ spl66_8
| spl66_93 ),
inference(backward_demodulation,[],[f1034,f633]) ).
fof(f1876,plain,
( spl66_156
| ~ spl66_81
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f1873,f1297,f972,f1427]) ).
fof(f1873,plain,
( e2 = op(e1,e3)
| ~ spl66_81
| ~ spl66_141 ),
inference(backward_demodulation,[],[f974,f1299]) ).
fof(f1875,plain,
( ~ spl66_50
| ~ spl66_141 ),
inference(avatar_split_clause,[],[f1871,f1297,f824]) ).
fof(f1871,plain,
( e3 != op(e3,e2)
| ~ spl66_141 ),
inference(backward_demodulation,[],[f200,f1299]) ).
fof(f1855,plain,
( ~ spl66_8
| ~ spl66_9 ),
inference(avatar_contradiction_clause,[],[f1854]) ).
fof(f1854,plain,
( $false
| ~ spl66_8
| ~ spl66_9 ),
inference(subsumption_resolution,[],[f1853,f192]) ).
fof(f1853,plain,
( e0 = e1
| ~ spl66_8
| ~ spl66_9 ),
inference(backward_demodulation,[],[f633,f638]) ).
fof(f1835,plain,
( ~ spl66_46
| ~ spl66_65 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| ~ spl66_46
| ~ spl66_65 ),
inference(subsumption_resolution,[],[f1833,f193]) ).
fof(f1833,plain,
( e0 = e2
| ~ spl66_46
| ~ spl66_65 ),
inference(forward_demodulation,[],[f807,f895]) ).
fof(f807,plain,
( e2 = op(e2,e2)
| ~ spl66_46 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f1832,plain,
( ~ spl66_17
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f1831,f788,f673]) ).
fof(f1831,plain,
( e2 != op(e2,e0)
| ~ spl66_42 ),
inference(forward_demodulation,[],[f242,f790]) ).
fof(f1830,plain,
( ~ spl66_4
| ~ spl66_14 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| ~ spl66_4
| ~ spl66_14 ),
inference(subsumption_resolution,[],[f1828,f192]) ).
fof(f1828,plain,
( e0 = e1
| ~ spl66_4
| ~ spl66_14 ),
inference(forward_demodulation,[],[f617,f661]) ).
fof(f1822,plain,
( ~ spl66_123
| ~ spl66_3 ),
inference(avatar_split_clause,[],[f1821,f611,f1176]) ).
fof(f1821,plain,
( e1 != op(e2,e0)
| ~ spl66_3 ),
inference(forward_demodulation,[],[f212,f613]) ).
fof(f1819,plain,
( ~ spl66_43
| ~ spl66_42 ),
inference(avatar_split_clause,[],[f1818,f788,f792]) ).
fof(f1818,plain,
( e2 != op(e3,e2)
| ~ spl66_42 ),
inference(forward_demodulation,[],[f204,f790]) ).
fof(f1816,plain,
( ~ spl66_50
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f1815,f726,f824]) ).
fof(f1815,plain,
( e3 != op(e3,e2)
| ~ spl66_29 ),
inference(forward_demodulation,[],[f209,f728]) ).
fof(f1809,plain,
( ~ spl66_30
| ~ spl66_90 ),
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1808,plain,
( $false
| ~ spl66_30
| ~ spl66_90 ),
inference(subsumption_resolution,[],[f1807,f192]) ).
fof(f1807,plain,
( e0 = e1
| ~ spl66_30
| ~ spl66_90 ),
inference(backward_demodulation,[],[f733,f1020]) ).
fof(f1803,plain,
( ~ spl66_8
| ~ spl66_44 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1802,plain,
( $false
| ~ spl66_8
| ~ spl66_44 ),
inference(subsumption_resolution,[],[f1801,f191]) ).
fof(f1801,plain,
( e1 = e2
| ~ spl66_8
| ~ spl66_44 ),
inference(forward_demodulation,[],[f798,f633]) ).
fof(f1796,plain,
( ~ spl66_12
| ~ spl66_68
| ~ spl66_81 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
fof(f1795,plain,
( $false
| ~ spl66_12
| ~ spl66_68
| ~ spl66_81 ),
inference(subsumption_resolution,[],[f1794,f193]) ).
fof(f1794,plain,
( e0 = e2
| ~ spl66_12
| ~ spl66_68
| ~ spl66_81 ),
inference(forward_demodulation,[],[f1791,f910]) ).
fof(f1791,plain,
( e2 = op(e1,e1)
| ~ spl66_12
| ~ spl66_81 ),
inference(backward_demodulation,[],[f974,f651]) ).
fof(f1789,plain,
( ~ spl66_26
| ~ spl66_68 ),
inference(avatar_contradiction_clause,[],[f1788]) ).
fof(f1788,plain,
( $false
| ~ spl66_26
| ~ spl66_68 ),
inference(subsumption_resolution,[],[f1787,f192]) ).
fof(f1787,plain,
( e0 = e1
| ~ spl66_26
| ~ spl66_68 ),
inference(backward_demodulation,[],[f715,f910]) ).
fof(f715,plain,
( e1 = op(e1,e1)
| ~ spl66_26 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1781,plain,
( ~ spl66_65
| ~ spl66_70 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1780,plain,
( $false
| ~ spl66_65
| ~ spl66_70 ),
inference(subsumption_resolution,[],[f1779,f192]) ).
fof(f1779,plain,
( e0 = e1
| ~ spl66_65
| ~ spl66_70 ),
inference(backward_demodulation,[],[f920,f895]) ).
fof(f1778,plain,
( ~ spl66_21
| ~ spl66_38 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1777,plain,
( $false
| ~ spl66_21
| ~ spl66_38 ),
inference(subsumption_resolution,[],[f1776,f194]) ).
fof(f1776,plain,
( e1 = e3
| ~ spl66_21
| ~ spl66_38 ),
inference(forward_demodulation,[],[f693,f772]) ).
fof(f1775,plain,
( ~ spl66_134
| ~ spl66_8
| spl66_48 ),
inference(avatar_split_clause,[],[f1774,f815,f632,f1260]) ).
fof(f1774,plain,
( e0 != op(e1,e3)
| ~ spl66_8
| spl66_48 ),
inference(forward_demodulation,[],[f817,f633]) ).
fof(f1768,plain,
( ~ spl66_85
| ~ spl66_133 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1767,plain,
( $false
| ~ spl66_85
| ~ spl66_133 ),
inference(subsumption_resolution,[],[f1765,f195]) ).
fof(f1765,plain,
( e0 = e3
| ~ spl66_85
| ~ spl66_133 ),
inference(backward_demodulation,[],[f1254,f993]) ).
fof(f1760,plain,
( ~ spl66_46
| ~ spl66_70 ),
inference(avatar_contradiction_clause,[],[f1759]) ).
fof(f1759,plain,
( $false
| ~ spl66_46
| ~ spl66_70 ),
inference(subsumption_resolution,[],[f1758,f191]) ).
fof(f1758,plain,
( e1 = e2
| ~ spl66_46
| ~ spl66_70 ),
inference(backward_demodulation,[],[f807,f920]) ).
fof(f1749,plain,
( ~ spl66_42
| spl66_36
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f1748,f1252,f759,f788]) ).
fof(f1748,plain,
( e2 != op(e3,e0)
| spl66_36
| ~ spl66_133 ),
inference(forward_demodulation,[],[f761,f1254]) ).
fof(f1731,plain,
( ~ spl66_1
| ~ spl66_8 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1730,plain,
( $false
| ~ spl66_1
| ~ spl66_8 ),
inference(subsumption_resolution,[],[f1729,f194]) ).
fof(f1729,plain,
( e1 = e3
| ~ spl66_1
| ~ spl66_8 ),
inference(forward_demodulation,[],[f603,f633]) ).
fof(f1725,plain,
( ~ spl66_46
| ~ spl66_52 ),
inference(avatar_contradiction_clause,[],[f1724]) ).
fof(f1724,plain,
( $false
| ~ spl66_46
| ~ spl66_52 ),
inference(subsumption_resolution,[],[f1723,f190]) ).
fof(f1723,plain,
( e2 = e3
| ~ spl66_46
| ~ spl66_52 ),
inference(forward_demodulation,[],[f837,f807]) ).
fof(f1722,plain,
( ~ spl66_24
| ~ spl66_26 ),
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1721,plain,
( $false
| ~ spl66_24
| ~ spl66_26 ),
inference(subsumption_resolution,[],[f1720,f191]) ).
fof(f1720,plain,
( e1 = e2
| ~ spl66_24
| ~ spl66_26 ),
inference(forward_demodulation,[],[f706,f715]) ).
fof(f1705,plain,
( ~ spl66_134
| ~ spl66_126 ),
inference(avatar_split_clause,[],[f1701,f1197,f1260]) ).
fof(f1701,plain,
( e0 != op(e1,e3)
| ~ spl66_126 ),
inference(backward_demodulation,[],[f243,f1199]) ).
fof(f1703,plain,
( ~ spl66_9
| ~ spl66_126 ),
inference(avatar_split_clause,[],[f1700,f1197,f637]) ).
fof(f1700,plain,
( e0 != op(e3,e3)
| ~ spl66_126 ),
inference(backward_demodulation,[],[f217,f1199]) ).
fof(f1679,plain,
( ~ spl66_129
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f1676,f623,f1227]) ).
fof(f1676,plain,
( e1 != op(e2,e3)
| ~ spl66_6 ),
inference(backward_demodulation,[],[f220,f625]) ).
fof(f1678,plain,
( ~ spl66_4
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f1674,f623,f615]) ).
fof(f1674,plain,
( e1 != op(e0,e2)
| ~ spl66_6 ),
inference(backward_demodulation,[],[f241,f625]) ).
fof(f1670,plain,
( ~ spl66_128
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f1664,f696,f1222]) ).
fof(f1664,plain,
( e2 != op(e0,e2)
| ~ spl66_22 ),
inference(backward_demodulation,[],[f221,f698]) ).
fof(f1669,plain,
( ~ spl66_25
| ~ spl66_22 ),
inference(avatar_split_clause,[],[f1665,f696,f708]) ).
fof(f1665,plain,
( e2 != op(e3,e1)
| ~ spl66_22 ),
inference(backward_demodulation,[],[f202,f698]) ).
fof(f1662,plain,
( ~ spl66_26
| ~ spl66_78 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1661,plain,
( $false
| ~ spl66_26
| ~ spl66_78 ),
inference(subsumption_resolution,[],[f1660,f194]) ).
fof(f1660,plain,
( e1 = e3
| ~ spl66_26
| ~ spl66_78 ),
inference(forward_demodulation,[],[f959,f715]) ).
fof(f1659,plain,
( ~ spl66_14
| ~ spl66_142 ),
inference(avatar_split_clause,[],[f1652,f1305,f659]) ).
fof(f1652,plain,
( e0 != op(e0,e2)
| ~ spl66_142 ),
inference(backward_demodulation,[],[f206,f1307]) ).
fof(f1307,plain,
( e0 = op(e3,e2)
| ~ spl66_142 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1654,plain,
( ~ spl66_135
| ~ spl66_142 ),
inference(avatar_split_clause,[],[f1653,f1305,f1264]) ).
fof(f1653,plain,
( e0 != op(e1,e2)
| ~ spl66_142 ),
inference(backward_demodulation,[],[f200,f1307]) ).
fof(f1647,plain,
( ~ spl66_12
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f1637,f713,f650]) ).
fof(f1637,plain,
( e1 != op(e1,e2)
| ~ spl66_26 ),
inference(backward_demodulation,[],[f232,f715]) ).
fof(f232,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1643,plain,
( ~ spl66_79
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f1642,f713,f963]) ).
fof(f1642,plain,
( e1 != op(e1,e3)
| ~ spl66_26 ),
inference(backward_demodulation,[],[f233,f715]) ).
fof(f1636,plain,
( spl66_85
| ~ spl66_10 ),
inference(avatar_split_clause,[],[f336,f641,f992]) ).
fof(f641,plain,
( spl66_10
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_10])]) ).
fof(f336,plain,
( ~ sP49
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e0 != op(e3,e3)
& e0 = op(e0,e0)
& e3 = op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e0 != op(e3,e3)
& e0 = op(e0,e0)
& e3 = op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f1635,plain,
( ~ spl66_3
| ~ spl66_19 ),
inference(avatar_split_clause,[],[f386,f682,f611]) ).
fof(f682,plain,
( spl66_19
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_19])]) ).
fof(f386,plain,
( ~ sP36
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e0 = op(e0,e1)
& e3 != op(e3,e1)
& e1 = op(e3,e3)
& op(e0,e0) != e1 )
| ~ sP36 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e0 = op(e0,e1)
& e3 != op(e3,e1)
& e1 = op(e3,e3)
& op(e0,e0) != e1 )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1634,plain,
( spl66_65
| ~ spl66_20 ),
inference(avatar_split_clause,[],[f500,f687,f894]) ).
fof(f687,plain,
( spl66_20
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_20])]) ).
fof(f500,plain,
( ~ sP8
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2)
& e3 = op(e3,e0)
& e0 != op(e3,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2)
& e3 = op(e3,e0)
& e0 != op(e3,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1630,plain,
( spl66_26
| ~ spl66_115 ),
inference(avatar_split_clause,[],[f375,f1126,f713]) ).
fof(f1126,plain,
( spl66_115
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_115])]) ).
fof(f375,plain,
( ~ sP39
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e3 = op(e3,e1)
& e1 != op(e3,e3)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e3 = op(e3,e1)
& e1 != op(e3,e3)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f1629,plain,
( spl66_33
| ~ spl66_117 ),
inference(avatar_split_clause,[],[f409,f1134,f745]) ).
fof(f1134,plain,
( spl66_117
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_117])]) ).
fof(f409,plain,
( ~ sP31
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( op(e0,e0) = e2
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e0 != op(e0,e2) )
| ~ sP31 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( op(e0,e0) = e2
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e0 != op(e0,e2) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f1628,plain,
( ~ spl66_100
| ~ spl66_46 ),
inference(avatar_split_clause,[],[f427,f805,f1066]) ).
fof(f1066,plain,
( spl66_100
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_100])]) ).
fof(f427,plain,
( e2 != op(e2,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e2 = op(e2,e2)
& e0 != op(e0,e2)
& e2 != op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP26 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e2 = op(e2,e2)
& e0 != op(e0,e2)
& e2 != op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1625,plain,
( spl66_30
| ~ spl66_73 ),
inference(avatar_split_clause,[],[f344,f933,f731]) ).
fof(f933,plain,
( spl66_73
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_73])]) ).
fof(f344,plain,
( ~ sP47
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e0 = op(e2,e2)
& e1 = op(e1,e0)
& e2 != op(e2,e0)
& e0 != op(e1,e1) )
| ~ sP47 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e0 = op(e2,e2)
& e1 = op(e1,e0)
& e2 != op(e2,e0)
& e0 != op(e1,e1) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f1624,plain,
( ~ spl66_56
| spl66_170 ),
inference(avatar_split_clause,[],[f271,f1621,f853]) ).
fof(f853,plain,
( spl66_56
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_56])]) ).
fof(f271,plain,
( e3 = op(e2,op(e2,e3))
| ~ sP64 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e1 = op(e2,op(e2,e1))
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e3 = op(e2,op(e2,e3))
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& e2 = op(e2,op(e2,e2))
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& e0 = op(e2,op(e2,e0)) )
| ~ sP64 ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e1 = op(e2,op(e2,e1))
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e3 = op(e2,op(e2,e3))
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& e2 = op(e2,op(e2,e2))
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& e0 = op(e2,op(e2,e0)) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f1617,plain,
( spl66_46
| ~ spl66_83 ),
inference(avatar_split_clause,[],[f522,f982,f805]) ).
fof(f982,plain,
( spl66_83
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_83])]) ).
fof(f522,plain,
( ~ sP2
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e2 != op(e2,e2)
& e2 = op(e1,e1)
& e1 != op(e1,e2)
& e2 = op(e2,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e2 != op(e2,e2)
& e2 = op(e1,e1)
& e1 != op(e1,e2)
& e2 = op(e2,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1616,plain,
( spl66_29
| ~ spl66_115 ),
inference(avatar_split_clause,[],[f377,f1126,f726]) ).
fof(f377,plain,
( ~ sP39
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1615,plain,
( spl66_78
| spl66_24
| spl66_26
| spl66_68 ),
inference(avatar_split_clause,[],[f563,f908,f713,f704,f958]) ).
fof(f563,plain,
( e0 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e1,e3)
| e0 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3) )
& ( e2 = op(e3,e3)
| e0 = op(e3,e3)
| e1 = op(e3,e3)
| e3 = op(e3,e3) )
& ( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) )
& ( e1 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e0 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1614,plain,
( spl66_133
| spl66_168
| spl66_160
| spl66_140 ),
inference(avatar_split_clause,[],[f578,f1291,f1476,f1565,f1252]) ).
fof(f578,plain,
( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2) )
& ( e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e3) )
& ( e3 = op(e1,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1) )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e2) )
& ( e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e3,e0) )
& ( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e2) )
& ( e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e1) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e0)
| e2 = op(e2,e2)
| e2 = op(e2,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e0) )
& ( e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e0) )
& ( op(e0,e0) = e1
| e1 = op(e3,e0)
| e1 = op(e1,e0)
| e1 = op(e2,e0) )
& ( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3) )
& ( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1) )
& ( e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1) )
& ( e3 = op(e1,e1)
| e3 = op(e1,e0)
| e3 = op(e1,e2)
| e3 = op(e1,e3) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e2)
| e1 = op(e2,e1) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e2,e2) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e1) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1613,plain,
( ~ spl66_28
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f306,f678,f722]) ).
fof(f722,plain,
( spl66_28
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_28])]) ).
fof(f306,plain,
( e0 != op(e0,e1)
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& op(e0,e0) = e1
& e0 != op(e0,e1) )
| ~ sP56 ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& op(e0,e0) = e1
& e0 != op(e0,e1) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f1612,plain,
( ~ spl66_138
| ~ spl66_93
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f189,f632,f1032,f1279]) ).
fof(f189,plain,
( e1 != op(e3,e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3)
& e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f1611,plain,
( spl66_65
| spl66_57
| ~ spl66_17
| spl66_59
| spl66_56 ),
inference(avatar_split_clause,[],[f545,f853,f865,f673,f857,f894]) ).
fof(f857,plain,
( spl66_57
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_57])]) ).
fof(f865,plain,
( spl66_59
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_59])]) ).
fof(f545,plain,
( sP64
| sP65
| e2 != op(e2,e0)
| sP63
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ( ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& e2 = op(e0,op(e0,e2))
& e1 = op(e0,op(e0,e1))
& e0 = op(e0,op(e0,e0))
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 = op(e3,e3)
| e3 != op(e3,e0) )
& ( e1 != op(e1,e0)
| e0 = op(e1,e1) )
& e3 = op(e0,op(e0,e3)) )
| sP65
| sP64
| sP63 )
& ( ( e1 = op(e3,e3)
& e1 != op(e3,e3)
& e3 = op(e3,e1)
& e3 != op(e3,e1) )
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e1 = op(e1,e0)
& e0 = op(e3,e3)
& e3 != op(e3,e0)
& e0 != op(e1,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e0 = op(e0,e3)
& op(e0,e0) != e3
& e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f57,plain,
( ( e1 != op(e1,e2)
& e1 = op(e1,e2)
& e2 != op(e1,e1)
& e2 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( e3 = op(e3,e2)
& e2 = op(e1,e1)
& e2 != op(e3,e3)
& e1 != op(e1,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f63,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f64,plain,
( ( op(e0,e0) = e3
& e1 = op(e1,e3)
& e3 != op(e1,e1)
& e0 != op(e0,e3) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f65,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1)
& e1 = op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f66,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f67,plain,
( ( e0 = op(e0,e3)
& e1 != op(e1,e3)
& op(e0,e0) != e3
& e3 = op(e1,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f68,plain,
( ( op(e0,e0) = e1
& e0 != op(e0,e1)
& e2 = op(e2,e1)
& e1 != op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f69,plain,
( ( op(e0,e0) = e2
& e3 = op(e3,e2)
& e0 != op(e0,e2)
& e2 != op(e3,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f70,plain,
( ( e0 = op(e0,e3)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& op(e0,e0) != e3 )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f71,plain,
( ( e3 = op(e3,e3)
& e1 = op(e1,e3)
& e3 != op(e3,e3)
& e3 != op(e1,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f72,plain,
( ( e0 = op(e0,e3)
& op(e0,e0) = e3
& op(e0,e0) != e3
& e0 != op(e0,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f73,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f74,plain,
( ( e0 != op(e1,e1)
& e0 = op(e0,e0)
& e1 = op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f75,plain,
( ( e2 = op(e2,e0)
& e0 != op(e2,e2)
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f76,plain,
( ( e2 = op(e2,e3)
& op(e0,e0) = e3
& e0 != op(e0,e3)
& e3 != op(e2,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f77,plain,
( ( e2 != op(e2,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f78,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f79,plain,
( ( e1 != op(e1,e2)
& op(e0,e0) != e2
& e0 = op(e0,e2)
& e2 = op(e1,e1) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f81,plain,
( ( e2 != op(e1,e1)
& e0 != op(e0,e2)
& op(e0,e0) = e2
& e1 = op(e1,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f82,plain,
( ( e0 != op(e3,e3)
& e0 = op(e3,e3)
& e3 = op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f83,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e1 != op(e2,e2)
& e2 = op(e2,e1) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f84,plain,
( ( e1 != op(e2,e2)
& e2 = op(e2,e1)
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f86,plain,
( ( e2 = op(e2,e3)
& e3 != op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f87,plain,
( ( e0 = op(e0,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1
& op(e0,e0) != e1 )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f88,plain,
( ( e2 = op(e3,e3)
& e1 = op(e1,e2)
& e3 != op(e3,e2)
& e2 != op(e1,e1) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f89,plain,
( ( e0 = op(e0,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3)
& op(e0,e0) != e2 )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f91,plain,
( ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e1 = op(e1,e1)
& op(e0,e0) != e1 )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f92,plain,
( ( e1 != op(e1,e1)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e3 != op(e3,e1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f94,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f95,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f96,plain,
( ( e0 != op(e0,e3)
& e3 != op(e3,e3)
& op(e0,e0) = e3
& e3 = op(e3,e3) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f97,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e3,e3)
& e3 = op(e3,e2) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f98,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e1,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f99,plain,
( ( e2 != op(e2,e2)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e2 = op(e2,e2) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f100,plain,
( ( e1 != op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e2,e2)
& e2 = op(e2,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f102,plain,
( ( e3 = op(e2,e2)
& e3 != op(e1,e1)
& e2 != op(e2,e3)
& e1 = op(e1,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f104,plain,
( ( e1 != op(e1,e3)
& e3 != op(e2,e2)
& e2 = op(e2,e3)
& e3 = op(e1,e1) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f105,plain,
( ( e2 != op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 != op(e0,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f106,plain,
( ( e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f107,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f108,plain,
( ( e0 = op(e0,e1)
& op(e0,e0) != e1
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f109,plain,
( ( e0 = op(e0,e2)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f111,plain,
( ( e2 != op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f112,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f113,plain,
( ( e1 != op(e1,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f114,plain,
( ( e3 = op(e3,e0)
& e0 != op(e3,e3)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f115,plain,
( ( e0 = op(e3,e3)
& e0 = op(e0,e0)
& e3 != op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f116,plain,
( ( e3 = op(e1,e1)
& e1 = op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e1) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f117,plain,
( ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e3,e1)
| e1 = op(e3,e3) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& e2 = op(e1,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,e0))
& e3 = op(e1,op(e1,e3)) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f119,plain,
( ( ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& e0 = op(e3,op(e3,e0))
& e3 = op(e3,op(e3,e3))
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& e2 = op(e3,op(e3,e2))
& e1 = op(e3,op(e3,e1))
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f5,axiom,
( ( ( ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& e2 = op(e0,op(e0,e2))
& e1 = op(e0,op(e0,e1))
& e0 = op(e0,op(e0,e0))
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 = op(e3,e3)
| e3 != op(e3,e0) )
& ( e1 != op(e1,e0)
| e0 = op(e1,e1) )
& e3 = op(e0,op(e0,e3)) )
| ( ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& e0 = op(e3,op(e3,e0))
& e3 = op(e3,op(e3,e3))
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& e2 = op(e3,op(e3,e2))
& e1 = op(e3,op(e3,e1))
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) )
| ( e1 = op(e2,op(e2,e1))
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& e3 = op(e2,op(e2,e3))
& ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& e2 = op(e2,op(e2,e2))
& ( e2 = op(e3,e3)
| e3 != op(e3,e2) )
& e0 = op(e2,op(e2,e0)) )
| ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e3,e1)
| e1 = op(e3,e3) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& e2 = op(e1,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,e0))
& e3 = op(e1,op(e1,e3)) ) )
& ( ( e1 = op(e3,e3)
& e1 != op(e3,e3)
& e3 = op(e3,e1)
& e3 != op(e3,e1) )
| ( e3 = op(e1,e1)
& e1 = op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e1) )
| ( e0 = op(e3,e3)
& e0 = op(e0,e0)
& e3 != op(e3,e0)
& e0 != op(e0,e0) )
| ( e3 = op(e3,e0)
& e0 != op(e3,e3)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e1 != op(e1,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e2 != op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e3,e2)
& e2 = op(e3,e3) )
| ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& op(e0,e0) = e1
& e0 != op(e0,e1) )
| ( e0 = op(e0,e2)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e0 = op(e0,e1)
& op(e0,e0) != e1
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e2 != op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 != op(e0,e0) )
| ( e1 != op(e1,e3)
& e3 != op(e2,e2)
& e2 = op(e2,e3)
& e3 = op(e1,e1) )
| ( e0 != op(e3,e3)
& e0 = op(e0,e0)
& e3 = op(e3,e0)
& e0 != op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 != op(e1,e1)
& e2 != op(e2,e3)
& e1 = op(e1,e3) )
| ( e0 = op(e2,e2)
& e1 = op(e1,e0)
& e2 != op(e2,e0)
& e0 != op(e1,e1) )
| ( e1 != op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e2,e2)
& e2 = op(e2,e1) )
| ( e2 != op(e2,e2)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e2 = op(e2,e2) )
| ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e1,e0) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e3,e3)
& e3 = op(e3,e2) )
| ( e0 != op(e0,e3)
& e3 != op(e3,e3)
& op(e0,e0) = e3
& e3 = op(e3,e3) )
| ( e3 != op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e2,e3)
& e3 = op(e2,e2) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0) )
| ( e3 = op(e3,e1)
& e1 != op(e3,e3)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e3 != op(e3,e1) )
| ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e1 = op(e1,e1)
& op(e0,e0) != e1 )
| ( e0 = op(e0,e1)
& e3 != op(e3,e1)
& e1 = op(e3,e3)
& op(e0,e0) != e1 )
| ( e0 = op(e0,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3)
& op(e0,e0) != e2 )
| ( e2 = op(e3,e3)
& e1 = op(e1,e2)
& e3 != op(e3,e2)
& e2 != op(e1,e1) )
| ( e0 = op(e0,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1
& op(e0,e0) != e1 )
| ( e2 = op(e2,e3)
& e3 != op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( op(e0,e0) = e2
& e0 = op(e0,e2)
& op(e0,e0) != e2
& e0 != op(e0,e2) )
| ( e1 != op(e2,e2)
& e2 = op(e2,e1)
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e1 != op(e2,e2)
& e2 = op(e2,e1) )
| ( e0 != op(e3,e3)
& e0 = op(e3,e3)
& e3 = op(e3,e0)
& e3 != op(e3,e0) )
| ( e2 != op(e1,e1)
& e0 != op(e0,e2)
& op(e0,e0) = e2
& e1 = op(e1,e2) )
| ( e2 = op(e2,e2)
& e0 != op(e0,e2)
& e2 != op(e2,e2)
& op(e0,e0) = e2 )
| ( e1 != op(e1,e2)
& op(e0,e0) != e2
& e0 = op(e0,e2)
& e2 = op(e1,e1) )
| ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ( e2 != op(e2,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e2,e2) )
| ( e2 = op(e2,e3)
& op(e0,e0) = e3
& e0 != op(e0,e3)
& e3 != op(e2,e2) )
| ( e2 = op(e2,e0)
& e0 != op(e2,e2)
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e0 != op(e1,e1)
& e0 = op(e0,e0)
& e1 = op(e1,e0)
& e0 != op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3) )
| ( e0 = op(e0,e3)
& op(e0,e0) = e3
& op(e0,e0) != e3
& e0 != op(e0,e3) )
| ( e3 = op(e3,e3)
& e1 = op(e1,e3)
& e3 != op(e3,e3)
& e3 != op(e1,e1) )
| ( e0 = op(e0,e3)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& op(e0,e0) != e3 )
| ( op(e0,e0) = e2
& e3 = op(e3,e2)
& e0 != op(e0,e2)
& e2 != op(e3,e3) )
| ( op(e0,e0) = e1
& e0 != op(e0,e1)
& e2 = op(e2,e1)
& e1 != op(e2,e2) )
| ( e0 = op(e0,e3)
& e1 != op(e1,e3)
& op(e0,e0) != e3
& e3 = op(e1,e1) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1)
& e1 != op(e1,e1) )
| ( e1 != op(e1,e0)
& e0 = op(e1,e1)
& e1 = op(e1,e0)
& e0 != op(e1,e1) )
| ( op(e0,e0) = e3
& e1 = op(e1,e3)
& e3 != op(e1,e1)
& e0 != op(e0,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e2 != op(e2,e0)
& e0 = op(e2,e2)
& e3 = op(e3,e0)
& e0 != op(e3,e3) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ( e3 = op(e3,e2)
& e2 = op(e1,e1)
& e2 != op(e3,e3)
& e1 != op(e1,e2) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e1,e2)
& e2 != op(e1,e1)
& e2 = op(e1,e1) )
| ( e2 != op(e2,e2)
& e2 = op(e1,e1)
& e1 != op(e1,e2)
& e2 = op(e2,e2) )
| ( e0 = op(e0,e3)
& op(e0,e0) != e3
& e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( e1 = op(e1,e0)
& e0 = op(e3,e3)
& e3 != op(e3,e0)
& e0 != op(e1,e1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f1610,plain,
( spl66_142
| spl66_154
| spl66_151
| spl66_9 ),
inference(avatar_split_clause,[],[f575,f637,f1367,f1395,f1305]) ).
fof(f575,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1609,plain,
( spl66_14
| ~ spl66_32 ),
inference(avatar_split_clause,[],[f313,f741,f659]) ).
fof(f741,plain,
( spl66_32
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_32])]) ).
fof(f313,plain,
( ~ sP55
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e0 = op(e0,e2)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP55 ),
inference(nnf_transformation,[],[f109]) ).
fof(f1608,plain,
( ~ spl66_77
| ~ spl66_33
| ~ spl66_169 ),
inference(avatar_split_clause,[],[f254,f1570,f745,f952]) ).
fof(f254,plain,
( e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| op(e0,e0) != e2
| e3 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( op(e0,e0) = e2
& e1 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f1607,plain,
( ~ spl66_60
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f528,f1252,f870]) ).
fof(f870,plain,
( spl66_60
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_60])]) ).
fof(f528,plain,
( op(e0,e0) != e3
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e0 = op(e0,e3)
& op(e0,e0) != e3
& e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1606,plain,
( ~ spl66_104
| ~ spl66_78 ),
inference(avatar_split_clause,[],[f282,f958,f1082]) ).
fof(f1082,plain,
( spl66_104
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_104])]) ).
fof(f282,plain,
( e3 != op(e1,e1)
| ~ sP62 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e3 = op(e1,e1)
& e1 = op(e1,e3)
& e1 != op(e1,e3)
& e3 != op(e1,e1) )
| ~ sP62 ),
inference(nnf_transformation,[],[f116]) ).
fof(f1605,plain,
( spl66_45
| ~ spl66_95 ),
inference(avatar_split_clause,[],[f367,f1043,f801]) ).
fof(f1043,plain,
( spl66_95
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_95])]) ).
fof(f367,plain,
( ~ sP41
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e3)
& e2 = op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP41 ),
inference(nnf_transformation,[],[f95]) ).
fof(f1604,plain,
( spl66_160
| spl66_54
| spl66_29
| spl66_78 ),
inference(avatar_split_clause,[],[f572,f958,f726,f843,f1476]) ).
fof(f572,plain,
( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1603,plain,
( ~ spl66_24
| ~ spl66_139
| ~ spl66_161 ),
inference(avatar_split_clause,[],[f599,f1486,f1284,f704]) ).
fof(f599,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f1602,plain,
( spl66_133
| ~ spl66_120 ),
inference(avatar_split_clause,[],[f460,f1146,f1252]) ).
fof(f1146,plain,
( spl66_120
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_120])]) ).
fof(f460,plain,
( ~ sP18
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e0 = op(e0,e3)
& op(e0,e0) = e3
& op(e0,e0) != e3
& e0 != op(e0,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f72]) ).
fof(f1601,plain,
( spl66_40
| spl66_142
| spl66_50
| spl66_43 ),
inference(avatar_split_clause,[],[f552,f792,f824,f1305,f778]) ).
fof(f552,plain,
( e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1600,plain,
( ~ spl66_15
| spl66_1 ),
inference(avatar_split_clause,[],[f467,f602,f664]) ).
fof(f664,plain,
( spl66_15
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_15])]) ).
fof(f467,plain,
( e3 = op(e3,e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e0 = op(e0,e3)
& e3 != op(e3,e3)
& e3 = op(e3,e3)
& op(e0,e0) != e3 )
| ~ sP16 ),
inference(nnf_transformation,[],[f70]) ).
fof(f1599,plain,
( ~ spl66_111
| spl66_52 ),
inference(avatar_split_clause,[],[f341,f835,f1110]) ).
fof(f1110,plain,
( spl66_111
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_111])]) ).
fof(f341,plain,
( e3 = op(e2,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e3 = op(e2,e2)
& e3 != op(e1,e1)
& e2 != op(e2,e3)
& e1 = op(e1,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f102]) ).
fof(f1598,plain,
( ~ spl66_13
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f392,f824,f655]) ).
fof(f655,plain,
( spl66_13
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_13])]) ).
fof(f392,plain,
( e3 != op(e3,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e0 = op(e0,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3)
& op(e0,e0) != e2 )
| ~ sP35 ),
inference(nnf_transformation,[],[f89]) ).
fof(f1597,plain,
( ~ spl66_101
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f292,f637,f1070]) ).
fof(f1070,plain,
( spl66_101
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_101])]) ).
fof(f292,plain,
( e0 != op(e3,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e3 = op(e3,e0)
& e0 != op(e3,e3)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f114]) ).
fof(f1596,plain,
( ~ spl66_163
| ~ spl66_65
| ~ spl66_155 ),
inference(avatar_split_clause,[],[f247,f1412,f894,f1519]) ).
fof(f247,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f1595,plain,
( ~ spl66_76
| ~ spl66_167
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f549,f1252,f1559,f948]) ).
fof(f549,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e1 = op(op(e0,e0),e0)
& op(e0,e0) = e3
& e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f1594,plain,
( spl66_55
| spl66_1
| spl66_157
| spl66_168 ),
inference(avatar_split_clause,[],[f592,f1565,f1448,f602,f847]) ).
fof(f592,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1593,plain,
( spl66_45
| ~ spl66_98 ),
inference(avatar_split_clause,[],[f331,f1058,f801]) ).
fof(f1058,plain,
( spl66_98
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_98])]) ).
fof(f331,plain,
( ~ sP50
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e1 != op(e1,e3)
& e3 != op(e2,e2)
& e2 = op(e2,e3)
& e3 = op(e1,e1) )
| ~ sP50 ),
inference(nnf_transformation,[],[f104]) ).
fof(f1592,plain,
( ~ spl66_50
| ~ spl66_56
| spl66_44 ),
inference(avatar_split_clause,[],[f267,f796,f853,f824]) ).
fof(f267,plain,
( e2 = op(e3,e3)
| ~ sP64
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1591,plain,
( spl66_82
| spl66_14
| spl66_85
| spl66_18 ),
inference(avatar_split_clause,[],[f597,f678,f992,f659,f977]) ).
fof(f597,plain,
( e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1589,plain,
( spl66_50
| ~ spl66_41 ),
inference(avatar_split_clause,[],[f472,f783,f824]) ).
fof(f783,plain,
( spl66_41
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_41])]) ).
fof(f472,plain,
( ~ sP15
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( op(e0,e0) = e2
& e3 = op(e3,e2)
& e0 != op(e0,e2)
& e2 != op(e3,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1588,plain,
( ~ spl66_10
| ~ spl66_85 ),
inference(avatar_split_clause,[],[f334,f992,f641]) ).
fof(f334,plain,
( e0 != op(e0,e0)
| ~ sP49 ),
inference(cnf_transformation,[],[f137]) ).
fof(f1587,plain,
( ~ spl66_29
| spl66_8
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f280,f857,f632,f726]) ).
fof(f280,plain,
( ~ sP63
| e1 = op(e3,e3)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e3 != op(e3,e1)
| e1 = op(e3,e3) )
& ( e1 = op(e2,e2)
| e2 != op(e2,e1) )
& ( op(e0,e0) = e1
| e0 != op(e0,e1) )
& e2 = op(e1,op(e1,e2))
& e1 = op(e1,op(e1,e1))
& e0 = op(e1,op(e1,e0))
& e3 = op(e1,op(e1,e3)) )
| ~ sP63 ),
inference(nnf_transformation,[],[f117]) ).
fof(f1586,plain,
( spl66_23
| ~ spl66_102 ),
inference(avatar_split_clause,[],[f475,f1074,f700]) ).
fof(f1074,plain,
( spl66_102
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_102])]) ).
fof(f475,plain,
( ~ sP14
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( op(e0,e0) = e1
& e0 != op(e0,e1)
& e2 = op(e2,e1)
& e1 != op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f1585,plain,
( spl66_70
| ~ spl66_118 ),
inference(avatar_split_clause,[],[f347,f1138,f918]) ).
fof(f1138,plain,
( spl66_118
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_118])]) ).
fof(f347,plain,
( ~ sP46
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e1 != op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e2,e2)
& e2 = op(e2,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f100]) ).
fof(f1584,plain,
( spl66_85
| ~ spl66_99 ),
inference(avatar_split_clause,[],[f452,f1062,f992]) ).
fof(f1062,plain,
( spl66_99
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_99])]) ).
fof(f452,plain,
( ~ sP20
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e0 != op(e1,e1)
& e0 = op(e0,e0)
& e1 = op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f74]) ).
fof(f1583,plain,
( ~ spl66_86
| spl66_1 ),
inference(avatar_split_clause,[],[f296,f602,f998]) ).
fof(f998,plain,
( spl66_86
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_86])]) ).
fof(f296,plain,
( e3 = op(e3,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e1 != op(e1,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP59 ),
inference(nnf_transformation,[],[f113]) ).
fof(f1582,plain,
( ~ spl66_70
| ~ spl66_102 ),
inference(avatar_split_clause,[],[f474,f1074,f918]) ).
fof(f474,plain,
( ~ sP14
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1581,plain,
( ~ spl66_31
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f531,f691,f735]) ).
fof(f735,plain,
( spl66_31
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_31])]) ).
fof(f531,plain,
( e3 != op(e3,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e1 = op(e1,e0)
& e0 = op(e3,e3)
& e3 != op(e3,e0)
& e0 != op(e1,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1580,plain,
( spl66_3
| ~ spl66_102 ),
inference(avatar_split_clause,[],[f477,f1074,f611]) ).
fof(f477,plain,
( ~ sP14
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f172]) ).
fof(f1579,plain,
( ~ spl66_23
| spl66_70
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f279,f857,f918,f700]) ).
fof(f279,plain,
( ~ sP63
| e1 = op(e2,e2)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1578,plain,
( ~ spl66_16
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f322,f731,f669]) ).
fof(f669,plain,
( spl66_16
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_16])]) ).
fof(f322,plain,
( e1 != op(e1,e0)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP52 ),
inference(nnf_transformation,[],[f106]) ).
fof(f1577,plain,
( ~ spl66_109
| spl66_12 ),
inference(avatar_split_clause,[],[f351,f650,f1102]) ).
fof(f1102,plain,
( spl66_109
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_109])]) ).
fof(f351,plain,
( e1 = op(e1,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e2 != op(e2,e2)
& e2 != op(e1,e1)
& e1 = op(e1,e2)
& e2 = op(e2,e2) )
| ~ sP45 ),
inference(nnf_transformation,[],[f99]) ).
fof(f1575,plain,
( ~ spl66_7
| spl66_70 ),
inference(avatar_split_clause,[],[f515,f918,f628]) ).
fof(f628,plain,
( spl66_7
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_7])]) ).
fof(f515,plain,
( e1 = op(e2,e2)
| ~ sP4 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e1 != op(e3,e3)
& e3 = op(e3,e1)
& e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1574,plain,
( ~ spl66_113
| spl66_3 ),
inference(avatar_split_clause,[],[f399,f611,f1118]) ).
fof(f1118,plain,
( spl66_113
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_113])]) ).
fof(f399,plain,
( op(e0,e0) = e1
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e0 = op(e0,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1
& op(e0,e0) != e1 )
| ~ sP33 ),
inference(nnf_transformation,[],[f87]) ).
fof(f1573,plain,
( ~ spl66_36
| ~ spl66_169
| ~ spl66_133 ),
inference(avatar_split_clause,[],[f548,f1252,f1570,f759]) ).
fof(f548,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(op(e0,e0),e0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e1 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e2 = op(op(e0,e0),e0)
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f1568,plain,
( spl66_82
| spl66_127
| spl66_168
| spl66_6 ),
inference(avatar_split_clause,[],[f564,f623,f1565,f1218,f977]) ).
fof(f564,plain,
( e1 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1563,plain,
( spl66_1
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f465,f880,f602]) ).
fof(f880,plain,
( spl66_62
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_62])]) ).
fof(f465,plain,
( ~ sP17
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e3 = op(e3,e3)
& e1 = op(e1,e3)
& e3 != op(e3,e3)
& e3 != op(e1,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1562,plain,
( ~ spl66_167
| ~ spl66_33
| ~ spl66_35 ),
inference(avatar_split_clause,[],[f566,f755,f745,f1559]) ).
fof(f566,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| op(e0,e0) != e2
| e1 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& op(e0,e0) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f1556,plain,
( spl66_12
| ~ spl66_88 ),
inference(avatar_split_clause,[],[f422,f1008,f650]) ).
fof(f1008,plain,
( spl66_88
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_88])]) ).
fof(f422,plain,
( ~ sP27
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e2 != op(e1,e1)
& e0 != op(e0,e2)
& op(e0,e0) = e2
& e1 = op(e1,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f81]) ).
fof(f1555,plain,
( spl66_46
| ~ spl66_109 ),
inference(avatar_split_clause,[],[f350,f1102,f805]) ).
fof(f350,plain,
( ~ sP45
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1554,plain,
( ~ spl66_9
| ~ spl66_66 ),
inference(avatar_split_clause,[],[f421,f899,f637]) ).
fof(f899,plain,
( spl66_66
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_66])]) ).
fof(f421,plain,
( ~ sP28
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e0 != op(e3,e3)
& e0 = op(e3,e3)
& e3 = op(e3,e0)
& e3 != op(e3,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f82]) ).
fof(f1553,plain,
( ~ spl66_87
| spl66_1 ),
inference(avatar_split_clause,[],[f403,f602,f1003]) ).
fof(f1003,plain,
( spl66_87
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_87])]) ).
fof(f403,plain,
( e3 = op(e3,e3)
| ~ sP32 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e2 = op(e2,e3)
& e3 != op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP32 ),
inference(nnf_transformation,[],[f86]) ).
fof(f1552,plain,
( ~ spl66_86
| ~ spl66_1 ),
inference(avatar_split_clause,[],[f295,f602,f998]) ).
fof(f295,plain,
( e3 != op(e3,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f127]) ).
fof(f1551,plain,
( spl66_98
| spl66_28
| spl66_119
| spl66_2
| spl66_117
| spl66_104
| spl66_73
| spl66_20
| spl66_83
| spl66_74
| spl66_107
| spl66_32
| spl66_11
| spl66_106
| spl66_110
| spl66_99
| spl66_111
| spl66_102
| spl66_94
| spl66_60
| spl66_115
| spl66_34
| spl66_87
| spl66_13
| spl66_112
| spl66_10
| spl66_97
| spl66_19
| spl66_118
| spl66_116
| spl66_69
| spl66_120
| spl66_113
| spl66_16
| spl66_100
| spl66_86
| spl66_37
| ~ spl66_8
| spl66_109
| spl66_103
| spl66_63
| spl66_114
| spl66_105
| spl66_31
| spl66_101
| spl66_27
| spl66_108
| spl66_84
| spl66_66
| spl66_88
| spl66_72
| spl66_15
| spl66_62
| spl66_64
| spl66_51
| spl66_41
| spl66_75
| spl66_71
| spl66_61
| spl66_47
| spl66_95
| spl66_7
| spl66_67
| spl66_80 ),
inference(avatar_split_clause,[],[f536,f967,f904,f628,f1043,f810,f875,f922,f943,f783,f829,f890,f880,f664,f927,f1008,f899,f988,f1098,f717,f1070,f735,f1086,f1122,f885,f1078,f1102,f632,f765,f998,f1066,f669,f1118,f1146,f913,f1130,f1138,f682,f1054,f641,f1114,f655,f1003,f750,f1126,f870,f1038,f1074,f1110,f1062,f1106,f1090,f646,f741,f1094,f938,f982,f687,f933,f1082,f1134,f606,f1142,f722,f1058]) ).
fof(f1142,plain,
( spl66_119
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_119])]) ).
fof(f606,plain,
( spl66_2
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_2])]) ).
fof(f938,plain,
( spl66_74
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_74])]) ).
fof(f1094,plain,
( spl66_107
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_107])]) ).
fof(f646,plain,
( spl66_11
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_11])]) ).
fof(f1090,plain,
( spl66_106
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_106])]) ).
fof(f1106,plain,
( spl66_110
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_110])]) ).
fof(f1038,plain,
( spl66_94
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_94])]) ).
fof(f750,plain,
( spl66_34
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_34])]) ).
fof(f1114,plain,
( spl66_112
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_112])]) ).
fof(f1054,plain,
( spl66_97
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_97])]) ).
fof(f1130,plain,
( spl66_116
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_116])]) ).
fof(f913,plain,
( spl66_69
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_69])]) ).
fof(f765,plain,
( spl66_37
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_37])]) ).
fof(f1078,plain,
( spl66_103
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_103])]) ).
fof(f885,plain,
( spl66_63
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_63])]) ).
fof(f1122,plain,
( spl66_114
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_114])]) ).
fof(f1086,plain,
( spl66_105
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_105])]) ).
fof(f717,plain,
( spl66_27
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_27])]) ).
fof(f1098,plain,
( spl66_108
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_108])]) ).
fof(f988,plain,
( spl66_84
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_84])]) ).
fof(f927,plain,
( spl66_72
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_72])]) ).
fof(f890,plain,
( spl66_64
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_64])]) ).
fof(f829,plain,
( spl66_51
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_51])]) ).
fof(f943,plain,
( spl66_75
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_75])]) ).
fof(f922,plain,
( spl66_71
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_71])]) ).
fof(f875,plain,
( spl66_61
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_61])]) ).
fof(f810,plain,
( spl66_47
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_47])]) ).
fof(f904,plain,
( spl66_67
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_67])]) ).
fof(f967,plain,
( spl66_80
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_80])]) ).
fof(f536,plain,
( sP10
| sP44
| sP4
| sP41
| sP43
| sP3
| sP54
| sP12
| sP15
| sP21
| sP23
| sP17
| sP16
| sP57
| sP27
| sP28
| sP24
| sP9
| sP38
| sP60
| sP0
| sP53
| sP61
| sP34
| sP11
| sP45
| e1 != op(e3,e3)
| sP25
| sP59
| sP26
| sP52
| sP33
| sP18
| sP7
| sP5
| sP46
| sP36
| sP22
| sP49
| sP30
| sP35
| sP32
| sP37
| sP39
| sP1
| sP29
| sP14
| sP48
| sP20
| sP13
| sP19
| sP6
| sP55
| sP51
| sP58
| sP2
| sP8
| sP47
| sP62
| sP31
| sP42
| sP40
| sP56
| sP50 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1550,plain,
( ~ spl66_56
| spl66_166 ),
inference(avatar_split_clause,[],[f266,f1547,f853]) ).
fof(f266,plain,
( e0 = op(e2,op(e2,e0))
| ~ sP64 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1545,plain,
( spl66_26
| spl66_5
| spl66_39
| spl66_147 ),
inference(avatar_split_clause,[],[f574,f1335,f774,f619,f713]) ).
fof(f574,plain,
( e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1544,plain,
( ~ spl66_104
| spl66_79 ),
inference(avatar_split_clause,[],[f284,f963,f1082]) ).
fof(f284,plain,
( e1 = op(e1,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f124]) ).
fof(f1543,plain,
( spl66_9
| ~ spl66_66 ),
inference(avatar_split_clause,[],[f420,f899,f637]) ).
fof(f420,plain,
( ~ sP28
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1541,plain,
( ~ spl66_94
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f417,f726,f1038]) ).
fof(f417,plain,
( e3 != op(e3,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3)
& e1 != op(e2,e2)
& e2 = op(e2,e1) )
| ~ sP29 ),
inference(nnf_transformation,[],[f83]) ).
fof(f1540,plain,
( spl66_59
| spl66_165
| spl66_56
| spl66_57 ),
inference(avatar_split_clause,[],[f544,f857,f853,f1537,f865]) ).
fof(f544,plain,
( sP63
| sP64
| e2 = op(e0,op(e0,e2))
| sP65 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1535,plain,
( ~ spl66_27
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f381,f713,f717]) ).
fof(f381,plain,
( e1 != op(e1,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e1 != op(e1,e1)
& e1 = op(e3,e3)
& e1 = op(e1,e1)
& e3 != op(e3,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f92]) ).
fof(f1534,plain,
( ~ spl66_63
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f395,f824,f885]) ).
fof(f395,plain,
( e3 != op(e3,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e2 = op(e3,e3)
& e1 = op(e1,e2)
& e3 != op(e3,e2)
& e2 != op(e1,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f88]) ).
fof(f1533,plain,
( ~ spl66_59
| spl66_164 ),
inference(avatar_split_clause,[],[f259,f1530,f865]) ).
fof(f259,plain,
( e1 = op(e3,op(e3,e1))
| ~ sP65 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& e0 = op(e3,op(e3,e0))
& e3 = op(e3,op(e3,e3))
& ( e3 = op(e1,e1)
| e1 != op(e1,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& e2 = op(e3,op(e3,e2))
& e1 = op(e3,op(e3,e1))
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) )
| ~ sP65 ),
inference(nnf_transformation,[],[f119]) ).
fof(f1528,plain,
( ~ spl66_112
| spl66_26 ),
inference(avatar_split_clause,[],[f410,f713,f1114]) ).
fof(f410,plain,
( e1 = op(e1,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e1 != op(e2,e2)
& e2 = op(e2,e1)
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f84]) ).
fof(f1527,plain,
( ~ spl66_85
| ~ spl66_119 ),
inference(avatar_split_clause,[],[f373,f1142,f992]) ).
fof(f373,plain,
( ~ sP40
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f94]) ).
fof(f1526,plain,
( ~ spl66_101
| ~ spl66_30 ),
inference(avatar_split_clause,[],[f290,f731,f1070]) ).
fof(f290,plain,
( e1 != op(e1,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f1525,plain,
( spl66_26
| ~ spl66_105 ),
inference(avatar_split_clause,[],[f319,f1086,f713]) ).
fof(f319,plain,
( ~ sP53
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP53 ),
inference(nnf_transformation,[],[f107]) ).
fof(f1524,plain,
( spl66_44
| spl66_1
| spl66_9
| spl66_8 ),
inference(avatar_split_clause,[],[f561,f632,f637,f602,f796]) ).
fof(f561,plain,
( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1523,plain,
( ~ spl66_94
| spl66_23 ),
inference(avatar_split_clause,[],[f414,f700,f1038]) ).
fof(f414,plain,
( e2 = op(e2,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f1522,plain,
( ~ spl66_159
| ~ spl66_163
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f249,f835,f1519,f1471]) ).
fof(f249,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f1517,plain,
( spl66_44
| ~ spl66_13 ),
inference(avatar_split_clause,[],[f391,f655,f796]) ).
fof(f391,plain,
( ~ sP35
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1516,plain,
( ~ spl66_46
| ~ spl66_69 ),
inference(avatar_split_clause,[],[f505,f913,f805]) ).
fof(f505,plain,
( ~ sP7
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f1514,plain,
( ~ spl66_23
| ~ spl66_71 ),
inference(avatar_split_clause,[],[f315,f922,f700]) ).
fof(f315,plain,
( ~ sP54
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e0 = op(e0,e1)
& op(e0,e0) != e1
& e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f108]) ).
fof(f1513,plain,
( ~ spl66_16
| spl66_68 ),
inference(avatar_split_clause,[],[f323,f908,f669]) ).
fof(f323,plain,
( e0 = op(e1,e1)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f1512,plain,
( ~ spl66_110
| ~ spl66_79 ),
inference(avatar_split_clause,[],[f480,f963,f1106]) ).
fof(f480,plain,
( e1 != op(e1,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e0 = op(e0,e3)
& e1 != op(e1,e3)
& op(e0,e0) != e3
& e3 = op(e1,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f1511,plain,
( ~ spl66_146
| ~ spl66_65
| ~ spl66_158 ),
inference(avatar_split_clause,[],[f257,f1467,f894,f1329]) ).
fof(f257,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f1509,plain,
( ~ spl66_113
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f400,f678,f1118]) ).
fof(f400,plain,
( e0 != op(e0,e1)
| ~ sP33 ),
inference(cnf_transformation,[],[f153]) ).
fof(f1508,plain,
( ~ spl66_115
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f376,f632,f1126]) ).
fof(f376,plain,
( e1 != op(e3,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1507,plain,
( spl66_26
| spl66_79
| spl66_30
| spl66_12 ),
inference(avatar_split_clause,[],[f587,f650,f731,f963,f713]) ).
fof(f587,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1506,plain,
( ~ spl66_115
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f374,f713,f1126]) ).
fof(f374,plain,
( e1 != op(e1,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f147]) ).
fof(f1505,plain,
( spl66_79
| spl66_6
| spl66_8
| spl66_129 ),
inference(avatar_split_clause,[],[f576,f1227,f632,f623,f963]) ).
fof(f576,plain,
( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1504,plain,
( spl66_24
| spl66_89
| spl66_156
| spl66_153 ),
inference(avatar_split_clause,[],[f589,f1388,f1427,f1014,f704]) ).
fof(f589,plain,
( e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1503,plain,
( spl66_54
| spl66_23
| spl66_147
| spl66_125 ),
inference(avatar_split_clause,[],[f559,f1193,f1335,f700,f843]) ).
fof(f559,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1502,plain,
( ~ spl66_26
| ~ spl66_112 ),
inference(avatar_split_clause,[],[f411,f1114,f713]) ).
fof(f411,plain,
( ~ sP30
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f1501,plain,
( ~ spl66_79
| ~ spl66_98 ),
inference(avatar_split_clause,[],[f333,f1058,f963]) ).
fof(f333,plain,
( ~ sP50
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f1500,plain,
( spl66_44
| ~ spl66_116 ),
inference(avatar_split_clause,[],[f510,f1130,f796]) ).
fof(f510,plain,
( ~ sP5
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1498,plain,
( ~ spl66_98
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f332,f835,f1058]) ).
fof(f332,plain,
( e3 != op(e2,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f136]) ).
fof(f1497,plain,
( ~ spl66_46
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f361,f810,f805]) ).
fof(f361,plain,
( ~ sP43
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 != op(e3,e3)
& e3 = op(e3,e2) )
| ~ sP43 ),
inference(nnf_transformation,[],[f97]) ).
fof(f1496,plain,
( ~ spl66_56
| spl66_162 ),
inference(avatar_split_clause,[],[f273,f1493,f853]) ).
fof(f273,plain,
( e1 = op(e2,op(e2,e1))
| ~ sP64 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1491,plain,
( ~ spl66_72
| ~ spl66_50 ),
inference(avatar_split_clause,[],[f304,f824,f927]) ).
fof(f304,plain,
( e3 != op(e3,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e2 != op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f111]) ).
fof(f1490,plain,
( spl66_65
| ~ spl66_73 ),
inference(avatar_split_clause,[],[f345,f933,f894]) ).
fof(f345,plain,
( ~ sP47
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1489,plain,
( ~ spl66_78
| ~ spl66_161
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f251,f1357,f1486,f958]) ).
fof(f251,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f1484,plain,
( spl66_70
| spl66_52
| spl66_46
| spl66_65 ),
inference(avatar_split_clause,[],[f555,f894,f805,f835,f918]) ).
fof(f555,plain,
( e0 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1483,plain,
( ~ spl66_46
| ~ spl66_109 ),
inference(avatar_split_clause,[],[f353,f1102,f805]) ).
fof(f353,plain,
( ~ sP45
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1482,plain,
( spl66_3
| spl66_38
| spl66_123
| spl66_30 ),
inference(avatar_split_clause,[],[f580,f731,f1176,f770,f611]) ).
fof(f580,plain,
( e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1480,plain,
( spl66_156
| spl66_79
| spl66_134
| spl66_157 ),
inference(avatar_split_clause,[],[f562,f1448,f1260,f963,f1427]) ).
fof(f562,plain,
( e3 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1479,plain,
( spl66_160
| spl66_22
| spl66_5
| spl66_18 ),
inference(avatar_split_clause,[],[f565,f678,f619,f696,f1476]) ).
fof(f565,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1474,plain,
( ~ spl66_158
| ~ spl66_159
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f197,f918,f1471,f1467]) ).
fof(f197,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e3 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f1465,plain,
( spl66_14
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f431,f765,f659]) ).
fof(f431,plain,
( ~ sP25
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( e1 != op(e1,e2)
& op(e0,e0) != e2
& e0 = op(e0,e2)
& e2 = op(e1,e1) )
| ~ sP25 ),
inference(nnf_transformation,[],[f79]) ).
fof(f1464,plain,
( spl66_18
| ~ spl66_113 ),
inference(avatar_split_clause,[],[f401,f1118,f678]) ).
fof(f401,plain,
( ~ sP33
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f1463,plain,
( ~ spl66_60
| spl66_52 ),
inference(avatar_split_clause,[],[f526,f835,f870]) ).
fof(f526,plain,
( e3 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f1462,plain,
( ~ spl66_75
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f482,f713,f943]) ).
fof(f482,plain,
( e1 != op(e1,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f1459,plain,
( ~ spl66_51
| ~ spl66_65 ),
inference(avatar_split_clause,[],[f448,f894,f829]) ).
fof(f448,plain,
( e0 != op(e2,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e2 = op(e2,e0)
& e0 != op(e2,e2)
& e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f75]) ).
fof(f1458,plain,
( spl66_126
| spl66_9
| spl66_82
| spl66_134 ),
inference(avatar_split_clause,[],[f585,f1260,f977,f637,f1197]) ).
fof(f585,plain,
( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1457,plain,
( ~ spl66_3
| ~ spl66_71 ),
inference(avatar_split_clause,[],[f316,f922,f611]) ).
fof(f316,plain,
( ~ sP54
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f132]) ).
fof(f1456,plain,
( spl66_26
| ~ spl66_34 ),
inference(avatar_split_clause,[],[f383,f750,f713]) ).
fof(f383,plain,
( ~ sP37
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e1 != op(e1,e1)
& e0 = op(e0,e1)
& e1 = op(e1,e1)
& op(e0,e0) != e1 )
| ~ sP37 ),
inference(nnf_transformation,[],[f91]) ).
fof(f1455,plain,
( ~ spl66_133
| ~ spl66_120 ),
inference(avatar_split_clause,[],[f459,f1146,f1252]) ).
fof(f459,plain,
( ~ sP18
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f168]) ).
fof(f1454,plain,
( ~ spl66_71
| spl66_18 ),
inference(avatar_split_clause,[],[f317,f678,f922]) ).
fof(f317,plain,
( e0 = op(e0,e1)
| ~ sP54 ),
inference(cnf_transformation,[],[f132]) ).
fof(f1453,plain,
( ~ spl66_111
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f339,f801,f1110]) ).
fof(f339,plain,
( e2 != op(e2,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f1452,plain,
( ~ spl66_20
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f498,f637,f687]) ).
fof(f498,plain,
( e0 != op(e3,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f1451,plain,
( spl66_78
| spl66_157
| spl66_91
| spl66_141 ),
inference(avatar_split_clause,[],[f573,f1297,f1022,f1448,f958]) ).
fof(f573,plain,
( e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e3)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1446,plain,
( ~ spl66_51
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f446,f691,f829]) ).
fof(f446,plain,
( e3 != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f165]) ).
fof(f1445,plain,
( ~ spl66_1
| ~ spl66_108 ),
inference(avatar_split_clause,[],[f497,f1098,f602]) ).
fof(f497,plain,
( ~ sP9
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1444,plain,
( ~ spl66_64
| spl66_65 ),
inference(avatar_split_clause,[],[f438,f894,f890]) ).
fof(f438,plain,
( e0 = op(e2,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e2 != op(e2,e0)
& e0 != op(e2,e2)
& e2 = op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1443,plain,
( ~ spl66_101
| spl66_21 ),
inference(avatar_split_clause,[],[f293,f691,f1070]) ).
fof(f293,plain,
( e3 = op(e3,e0)
| ~ sP60 ),
inference(cnf_transformation,[],[f126]) ).
fof(f1442,plain,
( spl66_17
| ~ spl66_51 ),
inference(avatar_split_clause,[],[f449,f829,f673]) ).
fof(f449,plain,
( ~ sP21
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1441,plain,
( ~ spl66_44
| ~ spl66_41 ),
inference(avatar_split_clause,[],[f470,f783,f796]) ).
fof(f470,plain,
( ~ sP15
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1440,plain,
( ~ spl66_100
| spl66_46 ),
inference(avatar_split_clause,[],[f429,f805,f1066]) ).
fof(f429,plain,
( e2 = op(e2,e2)
| ~ sP26 ),
inference(cnf_transformation,[],[f160]) ).
fof(f1439,plain,
( ~ spl66_118
| ~ spl66_70 ),
inference(avatar_split_clause,[],[f349,f918,f1138]) ).
fof(f349,plain,
( e1 != op(e2,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1438,plain,
( spl66_68
| spl66_18
| spl66_151
| spl66_125 ),
inference(avatar_split_clause,[],[f586,f1193,f1367,f678,f908]) ).
fof(f586,plain,
( e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1436,plain,
( ~ spl66_149
| ~ spl66_132
| ~ spl66_24 ),
inference(avatar_split_clause,[],[f600,f704,f1243,f1353]) ).
fof(f600,plain,
( e2 != op(e1,e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f1433,plain,
( ~ spl66_83
| ~ spl66_46 ),
inference(avatar_split_clause,[],[f525,f805,f982]) ).
fof(f525,plain,
( e2 != op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f1432,plain,
( ~ spl66_84
| spl66_85 ),
inference(avatar_split_clause,[],[f437,f992,f988]) ).
fof(f437,plain,
( e0 = op(e0,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e0 = op(e0,e0)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f78]) ).
fof(f1431,plain,
( spl66_46
| ~ spl66_32 ),
inference(avatar_split_clause,[],[f310,f741,f805]) ).
fof(f310,plain,
( ~ sP55
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f1430,plain,
( spl66_44
| spl66_156
| spl66_45
| spl66_127 ),
inference(avatar_split_clause,[],[f583,f1218,f801,f1427,f796]) ).
fof(f583,plain,
( e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1425,plain,
( spl66_3
| ~ spl66_74 ),
inference(avatar_split_clause,[],[f300,f938,f611]) ).
fof(f300,plain,
( ~ sP58
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP58 ),
inference(nnf_transformation,[],[f112]) ).
fof(f1424,plain,
( ~ spl66_133
| ~ spl66_110 ),
inference(avatar_split_clause,[],[f479,f1106,f1252]) ).
fof(f479,plain,
( ~ sP13
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f173]) ).
fof(f1422,plain,
( spl66_12
| ~ spl66_61 ),
inference(avatar_split_clause,[],[f520,f875,f650]) ).
fof(f520,plain,
( ~ sP3
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e1 != op(e1,e2)
& e1 = op(e1,e2)
& e2 != op(e1,e1)
& e2 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1421,plain,
( ~ spl66_7
| ~ spl66_23 ),
inference(avatar_split_clause,[],[f514,f700,f628]) ).
fof(f514,plain,
( e2 != op(e2,e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f182]) ).
fof(f1420,plain,
( ~ spl66_1
| ~ spl66_106 ),
inference(avatar_split_clause,[],[f455,f1090,f602]) ).
fof(f455,plain,
( ~ sP19
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e3 = op(e2,e2)
& e3 = op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f73]) ).
fof(f1419,plain,
( ~ spl66_103
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f486,f908,f1078]) ).
fof(f486,plain,
( e0 != op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1)
& e1 = op(e1,e0)
& e0 != op(e1,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f1418,plain,
( ~ spl66_110
| spl66_82 ),
inference(avatar_split_clause,[],[f481,f977,f1106]) ).
fof(f481,plain,
( e0 = op(e0,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f173]) ).
fof(f1417,plain,
( ~ spl66_19
| ~ spl66_29 ),
inference(avatar_split_clause,[],[f388,f726,f682]) ).
fof(f388,plain,
( e3 != op(e3,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f150]) ).
fof(f1416,plain,
( spl66_1
| ~ spl66_108 ),
inference(avatar_split_clause,[],[f496,f1098,f602]) ).
fof(f496,plain,
( ~ sP9
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f1415,plain,
( ~ spl66_70
| ~ spl66_155
| ~ spl66_145 ),
inference(avatar_split_clause,[],[f547,f1325,f1412,f918]) ).
fof(f547,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f1410,plain,
( ~ spl66_12
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f433,f765,f650]) ).
fof(f433,plain,
( ~ sP25
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f1408,plain,
( ~ spl66_46
| ~ spl66_116 ),
inference(avatar_split_clause,[],[f512,f1130,f805]) ).
fof(f512,plain,
( ~ sP5
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1406,plain,
( ~ spl66_80
| ~ spl66_78 ),
inference(avatar_split_clause,[],[f491,f958,f967]) ).
fof(f491,plain,
( e3 != op(e1,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( op(e0,e0) = e3
& e1 = op(e1,e3)
& e3 != op(e1,e1)
& e0 != op(e0,e3) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1405,plain,
( ~ spl66_33
| ~ spl66_117 ),
inference(avatar_split_clause,[],[f407,f1134,f745]) ).
fof(f407,plain,
( ~ sP31
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f155]) ).
fof(f1404,plain,
( ~ spl66_48
| ~ spl66_44
| ~ spl66_137 ),
inference(avatar_split_clause,[],[f188,f1275,f796,f815]) ).
fof(f188,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1402,plain,
( ~ spl66_103
| spl66_68 ),
inference(avatar_split_clause,[],[f488,f908,f1078]) ).
fof(f488,plain,
( e0 = op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f175]) ).
fof(f1401,plain,
( ~ spl66_82
| ~ spl66_80 ),
inference(avatar_split_clause,[],[f490,f967,f977]) ).
fof(f490,plain,
( ~ sP10
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f1400,plain,
( ~ spl66_28
| spl66_3 ),
inference(avatar_split_clause,[],[f307,f611,f722]) ).
fof(f307,plain,
( op(e0,e0) = e1
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f1398,plain,
( spl66_21
| spl66_38
| spl66_42
| spl66_154 ),
inference(avatar_split_clause,[],[f557,f1395,f788,f770,f691]) ).
fof(f557,plain,
( e0 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1393,plain,
( spl66_133
| ~ spl66_59
| ~ spl66_82 ),
inference(avatar_split_clause,[],[f265,f977,f865,f1252]) ).
fof(f265,plain,
( e0 != op(e0,e3)
| ~ sP65
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f121]) ).
fof(f1392,plain,
( ~ spl66_67
| ~ spl66_85 ),
inference(avatar_split_clause,[],[f355,f992,f904]) ).
fof(f355,plain,
( e0 != op(e0,e0)
| ~ sP44 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e0 = op(e1,e1)
& e0 = op(e0,e0)
& e0 != op(e0,e0)
& e1 != op(e1,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f98]) ).
fof(f1391,plain,
( spl66_12
| spl66_135
| spl66_153
| spl66_141 ),
inference(avatar_split_clause,[],[f558,f1297,f1388,f1264,f650]) ).
fof(f558,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1386,plain,
( spl66_21
| ~ spl66_10 ),
inference(avatar_split_clause,[],[f335,f641,f691]) ).
fof(f335,plain,
( ~ sP49
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1385,plain,
( spl66_78
| ~ spl66_59
| ~ spl66_79 ),
inference(avatar_split_clause,[],[f262,f963,f865,f958]) ).
fof(f262,plain,
( e1 != op(e1,e3)
| ~ sP65
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1384,plain,
( spl66_152
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f276,f857,f1381]) ).
fof(f276,plain,
( ~ sP63
| e1 = op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1379,plain,
( ~ spl66_32
| ~ spl66_46 ),
inference(avatar_split_clause,[],[f311,f805,f741]) ).
fof(f311,plain,
( e2 != op(e2,e2)
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f1378,plain,
( spl66_30
| ~ spl66_99 ),
inference(avatar_split_clause,[],[f451,f1062,f731]) ).
fof(f451,plain,
( ~ sP20
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1376,plain,
( ~ spl66_57
| spl66_3
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f278,f678,f611,f857]) ).
fof(f278,plain,
( e0 != op(e0,e1)
| op(e0,e0) = e1
| ~ sP63 ),
inference(cnf_transformation,[],[f123]) ).
fof(f1374,plain,
( spl66_45
| ~ spl66_97 ),
inference(avatar_split_clause,[],[f445,f1054,f801]) ).
fof(f445,plain,
( ~ sP22
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e2 = op(e2,e3)
& op(e0,e0) = e3
& e0 != op(e0,e3)
& e3 != op(e2,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1373,plain,
( ~ spl66_20
| ~ spl66_17 ),
inference(avatar_split_clause,[],[f501,f673,f687]) ).
fof(f501,plain,
( e2 != op(e2,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f1372,plain,
( spl66_85
| ~ spl66_67 ),
inference(avatar_split_clause,[],[f356,f904,f992]) ).
fof(f356,plain,
( ~ sP44
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1371,plain,
( ~ spl66_37
| spl66_24 ),
inference(avatar_split_clause,[],[f430,f704,f765]) ).
fof(f430,plain,
( e2 = op(e1,e1)
| ~ sP25 ),
inference(cnf_transformation,[],[f161]) ).
fof(f1370,plain,
( spl66_25
| spl66_39
| spl66_151
| spl66_29 ),
inference(avatar_split_clause,[],[f560,f726,f1367,f774,f708]) ).
fof(f560,plain,
( e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1365,plain,
( ~ spl66_85
| ~ spl66_114 ),
inference(avatar_split_clause,[],[f286,f1122,f992]) ).
fof(f286,plain,
( ~ sP61
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e0 = op(e3,e3)
& e0 = op(e0,e0)
& e3 != op(e3,e0)
& e0 != op(e0,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f115]) ).
fof(f1363,plain,
( spl66_50
| spl66_21
| spl66_29
| spl66_1 ),
inference(avatar_split_clause,[],[f567,f602,f726,f691,f824]) ).
fof(f567,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1362,plain,
( ~ spl66_119
| spl66_85 ),
inference(avatar_split_clause,[],[f372,f992,f1142]) ).
fof(f372,plain,
( e0 = op(e0,e0)
| ~ sP40 ),
inference(cnf_transformation,[],[f146]) ).
fof(f1360,plain,
( ~ spl66_149
| ~ spl66_68
| ~ spl66_150 ),
inference(avatar_split_clause,[],[f196,f1357,f908,f1353]) ).
fof(f196,plain,
( e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f1351,plain,
( spl66_133
| spl66_21
| spl66_91
| spl66_53 ),
inference(avatar_split_clause,[],[f596,f839,f1022,f691,f1252]) ).
fof(f596,plain,
( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1350,plain,
( ~ spl66_97
| ~ spl66_82 ),
inference(avatar_split_clause,[],[f443,f977,f1054]) ).
fof(f443,plain,
( e0 != op(e0,e3)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f1349,plain,
( ~ spl66_56
| spl66_148 ),
inference(avatar_split_clause,[],[f268,f1346,f853]) ).
fof(f268,plain,
( e2 = op(e2,op(e2,e2))
| ~ sP64 ),
inference(cnf_transformation,[],[f122]) ).
fof(f1344,plain,
( ~ spl66_69
| spl66_46 ),
inference(avatar_split_clause,[],[f503,f805,f913]) ).
fof(f503,plain,
( e2 = op(e2,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f1343,plain,
( ~ spl66_80
| spl66_133 ),
inference(avatar_split_clause,[],[f493,f1252,f967]) ).
fof(f493,plain,
( op(e0,e0) = e3
| ~ sP10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f1342,plain,
( ~ spl66_65
| ~ spl66_16 ),
inference(avatar_split_clause,[],[f325,f669,f894]) ).
fof(f325,plain,
( ~ sP52
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f1341,plain,
( ~ spl66_41
| spl66_33 ),
inference(avatar_split_clause,[],[f473,f745,f783]) ).
fof(f473,plain,
( op(e0,e0) = e2
| ~ sP15 ),
inference(cnf_transformation,[],[f171]) ).
fof(f1340,plain,
( spl66_78
| ~ spl66_104 ),
inference(avatar_split_clause,[],[f285,f1082,f958]) ).
fof(f285,plain,
( ~ sP62
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1339,plain,
( spl66_79
| ~ spl66_111 ),
inference(avatar_split_clause,[],[f338,f1110,f963]) ).
fof(f338,plain,
( ~ sP48
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f1338,plain,
( spl66_147
| spl66_123
| spl66_129
| spl66_70 ),
inference(avatar_split_clause,[],[f571,f918,f1227,f1176,f1335]) ).
fof(f571,plain,
( e1 = op(e2,e2)
| e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1332,plain,
( ~ spl66_145
| ~ spl66_146
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f187,f835,f1329,f1325]) ).
fof(f187,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e1 != op(op(op(e2,e2),e2),op(op(e2,e2),e2))
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f1323,plain,
( spl66_133
| spl66_85
| spl66_3
| spl66_33 ),
inference(avatar_split_clause,[],[f556,f745,f611,f992,f1252]) ).
fof(f556,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1322,plain,
( spl66_1
| ~ spl66_2 ),
inference(avatar_split_clause,[],[f362,f606,f602]) ).
fof(f362,plain,
( ~ sP42
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e0 != op(e0,e3)
& e3 != op(e3,e3)
& op(e0,e0) = e3
& e3 = op(e3,e3) )
| ~ sP42 ),
inference(nnf_transformation,[],[f96]) ).
fof(f1320,plain,
( ~ spl66_14
| ~ spl66_56
| spl66_33 ),
inference(avatar_split_clause,[],[f270,f745,f853,f659]) ).
fof(f270,plain,
( op(e0,e0) = e2
| ~ sP64
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1319,plain,
( spl66_144
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f275,f857,f1316]) ).
fof(f275,plain,
( ~ sP63
| e0 = op(e1,op(e1,e0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1314,plain,
( spl66_59
| spl66_57
| spl66_143
| spl66_56 ),
inference(avatar_split_clause,[],[f538,f853,f1311,f857,f865]) ).
fof(f538,plain,
( sP64
| e3 = op(e0,op(e0,e3))
| sP63
| sP65 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1303,plain,
( spl66_44
| ~ spl66_63 ),
inference(avatar_split_clause,[],[f397,f885,f796]) ).
fof(f397,plain,
( ~ sP34
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1302,plain,
( ~ spl66_105
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f318,f713,f1086]) ).
fof(f318,plain,
( e1 != op(e1,e1)
| ~ sP53 ),
inference(cnf_transformation,[],[f133]) ).
fof(f1300,plain,
( spl66_141
| spl66_50
| spl66_52
| spl66_140 ),
inference(avatar_split_clause,[],[f570,f1291,f835,f824,f1297]) ).
fof(f570,plain,
( e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1295,plain,
( ~ spl66_44
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f507,f646,f796]) ).
fof(f507,plain,
( ~ sP6
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e3 = op(e3,e2)
& e2 = op(e1,e1)
& e2 != op(e3,e3)
& e1 != op(e1,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1294,plain,
( spl66_128
| spl66_140
| spl66_14
| spl66_4 ),
inference(avatar_split_clause,[],[f554,f615,f659,f1291,f1222]) ).
fof(f554,plain,
( e1 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1289,plain,
( ~ spl66_45
| ~ spl66_95 ),
inference(avatar_split_clause,[],[f368,f1043,f801]) ).
fof(f368,plain,
( ~ sP41
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1288,plain,
( spl66_57
| ~ spl66_30
| spl66_68
| spl66_56
| spl66_59 ),
inference(avatar_split_clause,[],[f539,f865,f853,f908,f731,f857]) ).
fof(f539,plain,
( sP65
| sP64
| e0 = op(e1,e1)
| e1 != op(e1,e0)
| sP63 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1287,plain,
( ~ spl66_131
| ~ spl66_139
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f250,f908,f1284,f1239]) ).
fof(f250,plain,
( e0 != op(e1,e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e3 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f1282,plain,
( ~ spl66_9
| ~ spl66_137
| ~ spl66_138 ),
inference(avatar_split_clause,[],[f255,f1279,f1275,f637]) ).
fof(f255,plain,
( e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e1 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e1 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f1272,plain,
( spl66_136
| ~ spl66_59 ),
inference(avatar_split_clause,[],[f263,f865,f1269]) ).
fof(f263,plain,
( ~ sP65
| e3 = op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1267,plain,
( spl66_68
| spl66_134
| spl66_90
| spl66_135 ),
inference(avatar_split_clause,[],[f582,f1264,f1018,f1260,f908]) ).
fof(f582,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1256,plain,
( ~ spl66_97
| ~ spl66_52 ),
inference(avatar_split_clause,[],[f442,f835,f1054]) ).
fof(f442,plain,
( e3 != op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f164]) ).
fof(f1255,plain,
( spl66_133
| ~ spl66_97 ),
inference(avatar_split_clause,[],[f444,f1054,f1252]) ).
fof(f444,plain,
( ~ sP22
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f164]) ).
fof(f1249,plain,
( ~ spl66_85
| ~ spl66_99 ),
inference(avatar_split_clause,[],[f450,f1062,f992]) ).
fof(f450,plain,
( ~ sP20
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1246,plain,
( ~ spl66_131
| ~ spl66_78
| ~ spl66_132 ),
inference(avatar_split_clause,[],[f252,f1243,f958,f1239]) ).
fof(f252,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e0 != op(op(op(e1,e1),e1),op(op(e1,e1),e1))
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),e1),op(op(e1,e1),e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f1236,plain,
( spl66_130
| ~ spl66_59 ),
inference(avatar_split_clause,[],[f260,f865,f1233]) ).
fof(f260,plain,
( ~ sP65
| e2 = op(e3,op(e3,e2)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1230,plain,
( spl66_45
| spl66_129
| spl66_55
| spl66_126 ),
inference(avatar_split_clause,[],[f550,f1197,f847,f1227,f801]) ).
fof(f550,plain,
( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1225,plain,
( spl66_33
| spl66_127
| spl66_22
| spl66_128 ),
inference(avatar_split_clause,[],[f579,f1222,f696,f1218,f745]) ).
fof(f579,plain,
( e2 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1215,plain,
( spl66_9
| ~ spl66_31 ),
inference(avatar_split_clause,[],[f532,f735,f637]) ).
fof(f532,plain,
( ~ sP0
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1213,plain,
( ~ spl66_11
| spl66_50 ),
inference(avatar_split_clause,[],[f509,f824,f646]) ).
fof(f509,plain,
( e3 = op(e3,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f180]) ).
fof(f1212,plain,
( ~ spl66_72
| spl66_50 ),
inference(avatar_split_clause,[],[f303,f824,f927]) ).
fof(f303,plain,
( e3 = op(e3,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f1211,plain,
( ~ spl66_75
| spl66_26 ),
inference(avatar_split_clause,[],[f484,f713,f943]) ).
fof(f484,plain,
( e1 = op(e1,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f174]) ).
fof(f1210,plain,
( spl66_78
| ~ spl66_98 ),
inference(avatar_split_clause,[],[f330,f1058,f958]) ).
fof(f330,plain,
( ~ sP50
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f1209,plain,
( ~ spl66_106
| spl66_1 ),
inference(avatar_split_clause,[],[f456,f602,f1090]) ).
fof(f456,plain,
( e3 = op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f167]) ).
fof(f1208,plain,
( ~ spl66_103
| spl66_30 ),
inference(avatar_split_clause,[],[f487,f731,f1078]) ).
fof(f487,plain,
( e1 = op(e1,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f175]) ).
fof(f1207,plain,
( spl66_9
| ~ spl66_114 ),
inference(avatar_split_clause,[],[f289,f1122,f637]) ).
fof(f289,plain,
( ~ sP61
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f1206,plain,
( spl66_26
| ~ spl66_74 ),
inference(avatar_split_clause,[],[f298,f938,f713]) ).
fof(f298,plain,
( ~ sP58
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f1205,plain,
( spl66_24
| ~ spl66_12
| ~ spl66_56 ),
inference(avatar_split_clause,[],[f269,f853,f650,f704]) ).
fof(f269,plain,
( ~ sP64
| e1 != op(e1,e2)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f1204,plain,
( ~ spl66_24
| ~ spl66_88 ),
inference(avatar_split_clause,[],[f425,f1008,f704]) ).
fof(f425,plain,
( ~ sP27
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1203,plain,
( spl66_68
| ~ spl66_101 ),
inference(avatar_split_clause,[],[f291,f1070,f908]) ).
fof(f291,plain,
( ~ sP60
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f1202,plain,
( spl66_79
| ~ spl66_62 ),
inference(avatar_split_clause,[],[f464,f880,f963]) ).
fof(f464,plain,
( ~ sP17
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f1201,plain,
( ~ spl66_110
| spl66_78 ),
inference(avatar_split_clause,[],[f478,f958,f1106]) ).
fof(f478,plain,
( e3 = op(e1,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f173]) ).
fof(f1200,plain,
( spl66_122
| spl66_65
| spl66_125
| spl66_126 ),
inference(avatar_split_clause,[],[f591,f1197,f1193,f894,f1172]) ).
fof(f591,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1191,plain,
( ~ spl66_92
| ~ spl66_49
| ~ spl66_9 ),
inference(avatar_split_clause,[],[f546,f637,f819,f1028]) ).
fof(f546,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e0 != op(e3,e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e1 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f1190,plain,
( spl66_9
| spl66_57
| spl66_59
| spl66_56
| ~ spl66_21 ),
inference(avatar_split_clause,[],[f540,f691,f853,f865,f857,f637]) ).
fof(f540,plain,
( e3 != op(e3,e0)
| sP64
| sP65
| sP63
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1188,plain,
( spl66_59
| spl66_56
| spl66_57
| spl66_124 ),
inference(avatar_split_clause,[],[f543,f1185,f857,f853,f865]) ).
fof(f543,plain,
( e1 = op(e0,op(e0,e1))
| sP63
| sP64
| sP65 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1182,plain,
( ~ spl66_84
| ~ spl66_85 ),
inference(avatar_split_clause,[],[f434,f992,f988]) ).
fof(f434,plain,
( e0 != op(e0,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f162]) ).
fof(f1181,plain,
( spl66_33
| ~ spl66_88 ),
inference(avatar_split_clause,[],[f423,f1008,f745]) ).
fof(f423,plain,
( ~ sP27
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f159]) ).
fof(f1180,plain,
( ~ spl66_111
| ~ spl66_78 ),
inference(avatar_split_clause,[],[f340,f958,f1110]) ).
fof(f340,plain,
( e3 != op(e1,e1)
| ~ sP48 ),
inference(cnf_transformation,[],[f138]) ).
fof(f1179,plain,
( spl66_53
| spl66_122
| spl66_17
| spl66_123 ),
inference(avatar_split_clause,[],[f553,f1176,f673,f1172,f839]) ).
fof(f553,plain,
( e1 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1168,plain,
( ~ spl66_33
| ~ spl66_13 ),
inference(avatar_split_clause,[],[f390,f655,f745]) ).
fof(f390,plain,
( ~ sP35
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1167,plain,
( ~ spl66_107
| ~ spl66_85 ),
inference(avatar_split_clause,[],[f326,f992,f1094]) ).
fof(f326,plain,
( e0 != op(e0,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e2 != op(e2,e0)
& e0 = op(e0,e0)
& e0 = op(e2,e2)
& e0 != op(e0,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f105]) ).
fof(f1166,plain,
( spl66_85
| ~ spl66_107 ),
inference(avatar_split_clause,[],[f328,f1094,f992]) ).
fof(f328,plain,
( ~ sP51
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1165,plain,
( spl66_46
| ~ spl66_116 ),
inference(avatar_split_clause,[],[f513,f1130,f805]) ).
fof(f513,plain,
( ~ sP5
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1164,plain,
( ~ spl66_68
| ~ spl66_31 ),
inference(avatar_split_clause,[],[f530,f735,f908]) ).
fof(f530,plain,
( ~ sP0
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1163,plain,
( spl66_12
| spl66_70
| spl66_40
| spl66_4 ),
inference(avatar_split_clause,[],[f588,f615,f778,f918,f650]) ).
fof(f588,plain,
( e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1162,plain,
( spl66_85
| ~ spl66_114 ),
inference(avatar_split_clause,[],[f288,f1122,f992]) ).
fof(f288,plain,
( ~ sP61
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f1161,plain,
( ~ spl66_102
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f476,f678,f1074]) ).
fof(f476,plain,
( e0 != op(e0,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f172]) ).
fof(f1158,plain,
( ~ spl66_70
| ~ spl66_94 ),
inference(avatar_split_clause,[],[f415,f1038,f918]) ).
fof(f415,plain,
( ~ sP29
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1154,plain,
( spl66_121
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f274,f857,f1151]) ).
fof(f274,plain,
( ~ sP63
| e3 = op(e1,op(e1,e3)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1149,plain,
( spl66_95
| spl66_51
| spl66_41
| spl66_7
| spl66_28
| spl66_97
| spl66_8
| spl66_98
| spl66_84
| spl66_99
| spl66_100
| spl66_101
| spl66_19
| spl66_15
| spl66_102
| spl66_13
| spl66_64
| spl66_72
| spl66_10
| spl66_27
| spl66_103
| spl66_69
| spl66_71
| spl66_87
| spl66_60
| spl66_61
| spl66_104
| spl66_105
| spl66_47
| spl66_63
| spl66_80
| spl66_74
| spl66_106
| spl66_62
| spl66_37
| spl66_83
| spl66_32
| spl66_107
| spl66_66
| spl66_94
| spl66_108
| spl66_109
| spl66_110
| spl66_75
| spl66_111
| spl66_112
| spl66_31
| spl66_73
| spl66_113
| spl66_114
| spl66_115
| spl66_116
| spl66_88
| spl66_2
| spl66_16
| spl66_117
| spl66_118
| spl66_119
| spl66_34
| spl66_120
| spl66_67
| spl66_11
| spl66_20
| spl66_86 ),
inference(avatar_split_clause,[],[f537,f998,f687,f646,f904,f1146,f750,f1142,f1138,f1134,f669,f606,f1008,f1130,f1126,f1122,f1118,f933,f735,f1114,f1110,f943,f1106,f1102,f1098,f1038,f899,f1094,f741,f982,f765,f880,f1090,f938,f967,f885,f810,f1086,f1082,f875,f870,f1003,f922,f913,f1078,f717,f641,f927,f890,f655,f1074,f664,f682,f1070,f1066,f1062,f988,f1058,f632,f1054,f722,f628,f783,f829,f1043]) ).
fof(f537,plain,
( sP59
| sP8
| sP6
| sP44
| sP18
| sP37
| sP40
| sP46
| sP31
| sP52
| sP42
| sP27
| sP5
| sP39
| sP61
| sP33
| sP47
| sP0
| sP30
| sP48
| sP12
| sP13
| sP45
| sP9
| sP29
| sP28
| sP51
| sP55
| sP2
| sP25
| sP17
| sP19
| sP58
| sP10
| sP34
| sP43
| sP53
| sP62
| sP3
| sP1
| sP32
| sP54
| sP7
| sP11
| sP38
| sP49
| sP57
| sP23
| sP35
| sP14
| sP16
| sP36
| sP60
| sP26
| sP20
| sP24
| sP50
| e1 = op(e3,e3)
| sP22
| sP56
| sP4
| sP15
| sP21
| sP41 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1052,plain,
( ~ spl66_8
| ~ spl66_28 ),
inference(avatar_split_clause,[],[f309,f722,f632]) ).
fof(f309,plain,
( ~ sP56
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1051,plain,
( spl66_96
| ~ spl66_59 ),
inference(avatar_split_clause,[],[f264,f865,f1048]) ).
fof(f264,plain,
( ~ sP65
| e0 = op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1041,plain,
( ~ spl66_94
| spl66_8 ),
inference(avatar_split_clause,[],[f416,f632,f1038]) ).
fof(f416,plain,
( e1 = op(e3,e3)
| ~ sP29 ),
inference(cnf_transformation,[],[f157]) ).
fof(f1036,plain,
( spl66_46
| ~ spl66_47 ),
inference(avatar_split_clause,[],[f360,f810,f805]) ).
fof(f360,plain,
( ~ sP43
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1035,plain,
( ~ spl66_92
| ~ spl66_44
| ~ spl66_93 ),
inference(avatar_split_clause,[],[f256,f1032,f796,f1028]) ).
fof(f256,plain,
( e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f1025,plain,
( spl66_30
| spl66_89
| spl66_90
| spl66_91 ),
inference(avatar_split_clause,[],[f551,f1022,f1018,f1014,f731]) ).
fof(f551,plain,
( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1012,plain,
( ~ spl66_17
| ~ spl66_73 ),
inference(avatar_split_clause,[],[f343,f933,f673]) ).
fof(f343,plain,
( ~ sP47
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f1011,plain,
( ~ spl66_88
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f424,f659,f1008]) ).
fof(f424,plain,
( e0 != op(e0,e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f159]) ).
fof(f1006,plain,
( ~ spl66_1
| ~ spl66_87 ),
inference(avatar_split_clause,[],[f402,f1003,f602]) ).
fof(f402,plain,
( ~ sP32
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f996,plain,
( spl66_52
| ~ spl66_59
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f261,f801,f865,f835]) ).
fof(f261,plain,
( e2 != op(e2,e3)
| ~ sP65
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f986,plain,
( ~ spl66_12
| ~ spl66_61 ),
inference(avatar_split_clause,[],[f521,f875,f650]) ).
fof(f521,plain,
( ~ sP3
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f985,plain,
( ~ spl66_83
| spl66_24 ),
inference(avatar_split_clause,[],[f524,f704,f982]) ).
fof(f524,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f980,plain,
( ~ spl66_60
| spl66_82 ),
inference(avatar_split_clause,[],[f529,f977,f870]) ).
fof(f529,plain,
( e0 = op(e0,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f975,plain,
( spl66_81
| ~ spl66_57 ),
inference(avatar_split_clause,[],[f277,f857,f972]) ).
fof(f277,plain,
( ~ sP63
| e2 = op(e1,op(e1,e2)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f970,plain,
( spl66_79
| ~ spl66_80 ),
inference(avatar_split_clause,[],[f492,f967,f963]) ).
fof(f492,plain,
( ~ sP10
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f956,plain,
( ~ spl66_63
| ~ spl66_24 ),
inference(avatar_split_clause,[],[f394,f704,f885]) ).
fof(f394,plain,
( e2 != op(e1,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f152]) ).
fof(f955,plain,
( ~ spl66_76
| ~ spl66_3
| ~ spl66_77 ),
inference(avatar_split_clause,[],[f246,f952,f611,f948]) ).
fof(f246,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e2 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e2 = op(op(op(e0,e0),e0),op(op(e0,e0),e0))
& e3 = op(op(e0,e0),e0)
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f941,plain,
( ~ spl66_74
| ~ spl66_26 ),
inference(avatar_split_clause,[],[f299,f713,f938]) ).
fof(f299,plain,
( e1 != op(e1,e1)
| ~ sP58 ),
inference(cnf_transformation,[],[f128]) ).
fof(f936,plain,
( ~ spl66_73
| ~ spl66_68 ),
inference(avatar_split_clause,[],[f342,f908,f933]) ).
fof(f342,plain,
( e0 != op(e1,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f139]) ).
fof(f931,plain,
( spl66_29
| ~ spl66_7 ),
inference(avatar_split_clause,[],[f516,f628,f726]) ).
fof(f516,plain,
( ~ sP4
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f930,plain,
( ~ spl66_72
| spl66_44 ),
inference(avatar_split_clause,[],[f302,f796,f927]) ).
fof(f302,plain,
( e2 = op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f129]) ).
fof(f925,plain,
( spl66_70
| ~ spl66_71 ),
inference(avatar_split_clause,[],[f314,f922,f918]) ).
fof(f314,plain,
( ~ sP54
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f911,plain,
( ~ spl66_67
| spl66_68 ),
inference(avatar_split_clause,[],[f357,f908,f904]) ).
fof(f357,plain,
( e0 = op(e1,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f142]) ).
fof(f897,plain,
( ~ spl66_64
| ~ spl66_65 ),
inference(avatar_split_clause,[],[f440,f894,f890]) ).
fof(f440,plain,
( e0 != op(e2,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f163]) ).
fof(f888,plain,
( spl66_12
| ~ spl66_63 ),
inference(avatar_split_clause,[],[f396,f885,f650]) ).
fof(f396,plain,
( ~ sP34
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f883,plain,
( ~ spl66_62
| ~ spl66_1 ),
inference(avatar_split_clause,[],[f463,f602,f880]) ).
fof(f463,plain,
( e3 != op(e3,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f169]) ).
fof(f873,plain,
( ~ spl66_60
| ~ spl66_45 ),
inference(avatar_split_clause,[],[f527,f801,f870]) ).
fof(f527,plain,
( e2 != op(e2,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f868,plain,
( spl66_56
| spl66_57
| spl66_58
| spl66_59 ),
inference(avatar_split_clause,[],[f542,f865,f861,f857,f853]) ).
fof(f542,plain,
( sP65
| e0 = op(e0,op(e0,e0))
| sP63
| sP64 ),
inference(cnf_transformation,[],[f120]) ).
fof(f851,plain,
( spl66_24
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f508,f646,f704]) ).
fof(f508,plain,
( ~ sP6
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f850,plain,
( spl66_52
| spl66_53
| spl66_54
| spl66_55 ),
inference(avatar_split_clause,[],[f595,f847,f843,f839,f835]) ).
fof(f595,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f832,plain,
( spl66_9
| ~ spl66_51 ),
inference(avatar_split_clause,[],[f447,f829,f637]) ).
fof(f447,plain,
( ~ sP21
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f165]) ).
fof(f827,plain,
( ~ spl66_47
| spl66_50 ),
inference(avatar_split_clause,[],[f358,f824,f810]) ).
fof(f358,plain,
( e3 = op(e3,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f143]) ).
fof(f822,plain,
( ~ spl66_8
| ~ spl66_48
| ~ spl66_49 ),
inference(avatar_split_clause,[],[f248,f819,f815,f632]) ).
fof(f248,plain,
( e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),e3),op(op(e3,e3),e3))
| e0 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e2 = op(op(op(e3,e3),e3),op(op(e3,e3),e3))
& e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f808,plain,
( spl66_45
| spl66_46
| spl66_23
| spl66_17 ),
inference(avatar_split_clause,[],[f584,f673,f700,f805,f801]) ).
fof(f584,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f799,plain,
( spl66_42
| spl66_43
| spl66_25
| spl66_44 ),
inference(avatar_split_clause,[],[f568,f796,f708,f792,f788]) ).
fof(f568,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f786,plain,
( ~ spl66_14
| ~ spl66_41 ),
inference(avatar_split_clause,[],[f471,f783,f659]) ).
fof(f471,plain,
( ~ sP15
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f781,plain,
( spl66_8
| spl66_38
| spl66_39
| spl66_40 ),
inference(avatar_split_clause,[],[f569,f778,f774,f770,f632]) ).
fof(f569,plain,
( e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f768,plain,
( ~ spl66_33
| ~ spl66_37 ),
inference(avatar_split_clause,[],[f432,f765,f745]) ).
fof(f432,plain,
( ~ sP25
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f161]) ).
fof(f763,plain,
( spl66_8
| ~ spl66_19 ),
inference(avatar_split_clause,[],[f387,f682,f632]) ).
fof(f387,plain,
( ~ sP36
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f762,plain,
( ~ spl66_35
| ~ spl66_3
| ~ spl66_36 ),
inference(avatar_split_clause,[],[f253,f759,f611,f755]) ).
fof(f253,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( op(e0,e0) != e1
| e3 != op(op(op(e0,e0),e0),op(op(e0,e0),e0))
| e2 != op(op(e0,e0),e0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e2 = op(op(e0,e0),e0)
& op(e0,e0) = e1
& e3 = op(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f753,plain,
( ~ spl66_26
| ~ spl66_34 ),
inference(avatar_split_clause,[],[f385,f750,f713]) ).
fof(f385,plain,
( ~ sP37
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f748,plain,
( ~ spl66_32
| ~ spl66_33 ),
inference(avatar_split_clause,[],[f312,f745,f741]) ).
fof(f312,plain,
( op(e0,e0) != e2
| ~ sP55 ),
inference(cnf_transformation,[],[f131]) ).
fof(f738,plain,
( spl66_30
| ~ spl66_31 ),
inference(avatar_split_clause,[],[f533,f735,f731]) ).
fof(f533,plain,
( ~ sP0
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f729,plain,
( ~ spl66_28
| spl66_29 ),
inference(avatar_split_clause,[],[f308,f726,f722]) ).
fof(f308,plain,
( e3 = op(e3,e1)
| ~ sP56 ),
inference(cnf_transformation,[],[f130]) ).
fof(f720,plain,
( spl66_26
| ~ spl66_27 ),
inference(avatar_split_clause,[],[f379,f717,f713]) ).
fof(f379,plain,
( ~ sP38
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f711,plain,
( spl66_22
| spl66_23
| spl66_24
| spl66_25 ),
inference(avatar_split_clause,[],[f577,f708,f704,f700,f696]) ).
fof(f577,plain,
( e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f694,plain,
( ~ spl66_20
| spl66_21 ),
inference(avatar_split_clause,[],[f499,f691,f687]) ).
fof(f499,plain,
( e3 = op(e3,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f178]) ).
fof(f685,plain,
( spl66_18
| ~ spl66_19 ),
inference(avatar_split_clause,[],[f389,f682,f678]) ).
fof(f389,plain,
( ~ sP36
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f676,plain,
( ~ spl66_16
| spl66_17 ),
inference(avatar_split_clause,[],[f324,f673,f669]) ).
fof(f324,plain,
( e2 = op(e2,e0)
| ~ sP52 ),
inference(cnf_transformation,[],[f134]) ).
fof(f667,plain,
( ~ spl66_1
| ~ spl66_15 ),
inference(avatar_split_clause,[],[f468,f664,f602]) ).
fof(f468,plain,
( ~ sP16
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f662,plain,
( ~ spl66_13
| spl66_14 ),
inference(avatar_split_clause,[],[f393,f659,f655]) ).
fof(f393,plain,
( e0 = op(e0,e2)
| ~ sP35 ),
inference(cnf_transformation,[],[f151]) ).
fof(f653,plain,
( ~ spl66_11
| ~ spl66_12 ),
inference(avatar_split_clause,[],[f506,f650,f646]) ).
fof(f506,plain,
( e1 != op(e1,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f180]) ).
fof(f635,plain,
( ~ spl66_7
| ~ spl66_8 ),
inference(avatar_split_clause,[],[f517,f632,f628]) ).
fof(f517,plain,
( e1 != op(e3,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f182]) ).
fof(f626,plain,
( spl66_3
| spl66_4
| spl66_5
| spl66_6 ),
inference(avatar_split_clause,[],[f594,f623,f619,f615,f611]) ).
fof(f594,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f609,plain,
( ~ spl66_1
| ~ spl66_2 ),
inference(avatar_split_clause,[],[f364,f606,f602]) ).
fof(f364,plain,
( ~ sP42
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG155+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:00:25 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.51 % (19552)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (19574)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (19556)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19566)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (19560)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (19560)Instruction limit reached!
% 0.19/0.51 % (19560)------------------------------
% 0.19/0.51 % (19560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19560)Termination reason: Unknown
% 0.19/0.51 % (19560)Termination phase: Naming
% 0.19/0.51
% 0.19/0.51 % (19560)Memory used [KB]: 1023
% 0.19/0.51 % (19560)Time elapsed: 0.003 s
% 0.19/0.51 % (19560)Instructions burned: 3 (million)
% 0.19/0.51 % (19560)------------------------------
% 0.19/0.51 % (19560)------------------------------
% 0.19/0.52 % (19576)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (19568)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (19553)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (19578)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (19554)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (19558)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (19557)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (19580)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (19581)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (19559)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19573)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (19561)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (19559)Instruction limit reached!
% 0.19/0.53 % (19559)------------------------------
% 0.19/0.53 % (19559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19559)Termination reason: Unknown
% 0.19/0.53 % (19559)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (19559)Memory used [KB]: 1151
% 0.19/0.53 % (19559)Time elapsed: 0.005 s
% 0.19/0.53 % (19559)Instructions burned: 7 (million)
% 0.19/0.53 % (19559)------------------------------
% 0.19/0.53 % (19559)------------------------------
% 0.19/0.53 % (19571)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (19579)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (19572)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (19575)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (19555)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (19562)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (19563)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (19577)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (19565)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (19567)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55 % (19569)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (19564)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (19570)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.57 TRYING [4]
% 1.71/0.58 % (19554)Instruction limit reached!
% 1.71/0.58 % (19554)------------------------------
% 1.71/0.58 % (19554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (19554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (19554)Termination reason: Unknown
% 1.71/0.58 % (19554)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (19554)Memory used [KB]: 1407
% 1.71/0.58 % (19554)Time elapsed: 0.181 s
% 1.71/0.58 % (19554)Instructions burned: 38 (million)
% 1.71/0.58 % (19554)------------------------------
% 1.71/0.58 % (19554)------------------------------
% 1.71/0.58 % (19558)Instruction limit reached!
% 1.71/0.58 % (19558)------------------------------
% 1.71/0.58 % (19558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (19556)Instruction limit reached!
% 1.88/0.59 % (19556)------------------------------
% 1.88/0.59 % (19556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (19558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (19558)Termination reason: Unknown
% 1.88/0.60 % (19558)Termination phase: Finite model building constraint generation
% 1.88/0.60
% 1.88/0.60 % (19558)Memory used [KB]: 7931
% 1.88/0.60 % (19558)Time elapsed: 0.157 s
% 1.88/0.60 % (19558)Instructions burned: 53 (million)
% 1.88/0.60 % (19558)------------------------------
% 1.88/0.60 % (19558)------------------------------
% 1.88/0.60 % (19553)Instruction limit reached!
% 1.88/0.60 % (19553)------------------------------
% 1.88/0.60 % (19553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (19553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (19553)Termination reason: Unknown
% 1.88/0.60 % (19553)Termination phase: Saturation
% 1.88/0.60
% 1.88/0.60 % (19553)Memory used [KB]: 6652
% 1.88/0.60 % (19553)Time elapsed: 0.026 s
% 1.88/0.60 % (19553)Instructions burned: 50 (million)
% 1.88/0.60 % (19553)------------------------------
% 1.88/0.60 % (19553)------------------------------
% 1.88/0.60 % (19556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (19556)Termination reason: Unknown
% 1.88/0.60 % (19556)Termination phase: Saturation
% 1.88/0.60
% 1.88/0.60 % (19556)Memory used [KB]: 6652
% 1.88/0.60 % (19556)Time elapsed: 0.026 s
% 1.88/0.60 % (19556)Instructions burned: 52 (million)
% 1.88/0.60 % (19556)------------------------------
% 1.88/0.60 % (19556)------------------------------
% 1.88/0.61 % (19555)Instruction limit reached!
% 1.88/0.61 % (19555)------------------------------
% 1.88/0.61 % (19555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (19557)Instruction limit reached!
% 1.88/0.61 % (19557)------------------------------
% 1.88/0.61 % (19557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 TRYING [4]
% 1.88/0.61 % (19561)Instruction limit reached!
% 1.88/0.61 % (19561)------------------------------
% 1.88/0.61 % (19561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (19561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (19561)Termination reason: Unknown
% 1.88/0.61 % (19561)Termination phase: Saturation
% 1.88/0.61
% 1.88/0.61 % (19561)Memory used [KB]: 1663
% 1.88/0.61 % (19561)Time elapsed: 0.216 s
% 1.88/0.61 % (19561)Instructions burned: 51 (million)
% 1.88/0.61 % (19561)------------------------------
% 1.88/0.61 % (19561)------------------------------
% 1.88/0.62 % (19557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62 % (19555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62 % (19555)Termination reason: Unknown
% 1.88/0.62 % (19555)Termination phase: Saturation
% 1.88/0.62
% 1.88/0.62 % (19555)Memory used [KB]: 6908
% 1.88/0.62 % (19555)Time elapsed: 0.207 s
% 1.88/0.62 % (19555)Instructions burned: 52 (million)
% 1.88/0.62 % (19555)------------------------------
% 1.88/0.62 % (19555)------------------------------
% 1.88/0.62 % (19557)Termination reason: Unknown
% 1.88/0.62 % (19557)Termination phase: Saturation
% 1.88/0.62
% 1.88/0.62 % (19557)Memory used [KB]: 6396
% 1.88/0.62 % (19557)Time elapsed: 0.197 s
% 1.88/0.62 % (19557)Instructions burned: 50 (million)
% 1.88/0.62 % (19557)------------------------------
% 1.88/0.62 % (19557)------------------------------
% 1.88/0.62 % (19562)Instruction limit reached!
% 1.88/0.62 % (19562)------------------------------
% 1.88/0.62 % (19562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62 % (19562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62 % (19562)Termination reason: Unknown
% 1.88/0.62 % (19562)Termination phase: Saturation
% 1.88/0.62
% 1.88/0.62 % (19562)Memory used [KB]: 7036
% 1.88/0.62 % (19562)Time elapsed: 0.026 s
% 1.88/0.62 % (19562)Instructions burned: 52 (million)
% 1.88/0.62 % (19562)------------------------------
% 1.88/0.62 % (19562)------------------------------
% 2.16/0.62 % (19566)Instruction limit reached!
% 2.16/0.62 % (19566)------------------------------
% 2.16/0.62 % (19566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.62 % (19566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.62 % (19566)Termination reason: Unknown
% 2.16/0.62 % (19566)Termination phase: Saturation
% 2.16/0.62
% 2.16/0.62 % (19566)Memory used [KB]: 6780
% 2.16/0.62 % (19566)Time elapsed: 0.036 s
% 2.16/0.62 % (19566)Instructions burned: 69 (million)
% 2.16/0.62 % (19566)------------------------------
% 2.16/0.62 % (19566)------------------------------
% 2.22/0.65 % (19569)Instruction limit reached!
% 2.22/0.65 % (19569)------------------------------
% 2.22/0.65 % (19569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65 % (19569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65 % (19569)Termination reason: Unknown
% 2.22/0.65 % (19569)Termination phase: Finite model building preprocessing
% 2.22/0.65
% 2.22/0.65 % (19569)Memory used [KB]: 6652
% 2.22/0.65 % (19569)Time elapsed: 0.030 s
% 2.22/0.65 % (19569)Instructions burned: 60 (million)
% 2.22/0.65 % (19569)------------------------------
% 2.22/0.65 % (19569)------------------------------
% 2.22/0.65 % (19582)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.22/0.66 % (19567)Instruction limit reached!
% 2.22/0.66 % (19567)------------------------------
% 2.22/0.66 % (19567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (19567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (19567)Termination reason: Unknown
% 2.22/0.66 % (19567)Termination phase: Saturation
% 2.22/0.66
% 2.22/0.66 % (19567)Memory used [KB]: 1663
% 2.22/0.66 % (19567)Time elapsed: 0.261 s
% 2.22/0.66 % (19567)Instructions burned: 76 (million)
% 2.22/0.66 % (19567)------------------------------
% 2.22/0.66 % (19567)------------------------------
% 2.22/0.66 % (19583)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.22/0.66 % (19578)Instruction limit reached!
% 2.22/0.66 % (19578)------------------------------
% 2.22/0.66 % (19578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (19578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (19578)Termination reason: Unknown
% 2.22/0.66 % (19578)Termination phase: Saturation
% 2.22/0.66
% 2.22/0.66 % (19578)Memory used [KB]: 6780
% 2.22/0.66 % (19578)Time elapsed: 0.033 s
% 2.22/0.66 % (19578)Instructions burned: 68 (million)
% 2.22/0.66 % (19578)------------------------------
% 2.22/0.66 % (19578)------------------------------
% 2.22/0.69 % (19570)Instruction limit reached!
% 2.22/0.69 % (19570)------------------------------
% 2.22/0.69 % (19570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69 % (19565)Instruction limit reached!
% 2.22/0.69 % (19565)------------------------------
% 2.22/0.69 % (19565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69 % (19565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69 % (19565)Termination reason: Unknown
% 2.22/0.69 % (19565)Termination phase: Saturation
% 2.22/0.69
% 2.22/0.69 % (19565)Memory used [KB]: 6780
% 2.22/0.69 % (19565)Time elapsed: 0.301 s
% 2.22/0.69 % (19565)Instructions burned: 100 (million)
% 2.22/0.69 % (19565)------------------------------
% 2.22/0.69 % (19565)------------------------------
% 2.22/0.69 % (19570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69 % (19570)Termination reason: Unknown
% 2.22/0.69 % (19570)Termination phase: Saturation
% 2.22/0.69
% 2.22/0.69 % (19570)Memory used [KB]: 7036
% 2.22/0.69 % (19570)Time elapsed: 0.050 s
% 2.22/0.69 % (19570)Instructions burned: 101 (million)
% 2.22/0.69 % (19570)------------------------------
% 2.22/0.69 % (19570)------------------------------
% 2.22/0.69 % (19571)Instruction limit reached!
% 2.22/0.69 % (19571)------------------------------
% 2.22/0.69 % (19571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69 % (19571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69 % (19571)Termination reason: Unknown
% 2.22/0.69 % (19571)Termination phase: Saturation
% 2.22/0.69
% 2.22/0.69 % (19571)Memory used [KB]: 1663
% 2.22/0.69 % (19571)Time elapsed: 0.274 s
% 2.22/0.69 % (19571)Instructions burned: 100 (million)
% 2.22/0.69 % (19571)------------------------------
% 2.22/0.69 % (19571)------------------------------
% 2.22/0.69 % (19563)Instruction limit reached!
% 2.22/0.69 % (19563)------------------------------
% 2.22/0.69 % (19563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69 % (19563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69 % (19563)Termination reason: Unknown
% 2.22/0.69 % (19563)Termination phase: Saturation
% 2.22/0.69
% 2.22/0.69 % (19563)Memory used [KB]: 7547
% 2.22/0.69 % (19563)Time elapsed: 0.288 s
% 2.22/0.69 % (19563)Instructions burned: 100 (million)
% 2.22/0.69 % (19563)------------------------------
% 2.22/0.69 % (19563)------------------------------
% 2.22/0.70 TRYING [5]
% 2.22/0.70 % (19568)Instruction limit reached!
% 2.22/0.70 % (19568)------------------------------
% 2.22/0.70 % (19568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70 % (19568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.70 % (19568)Termination reason: Unknown
% 2.22/0.70 % (19568)Termination phase: Saturation
% 2.22/0.70
% 2.22/0.70 % (19568)Memory used [KB]: 6652
% 2.22/0.70 % (19568)Time elapsed: 0.294 s
% 2.22/0.70 % (19568)Instructions burned: 100 (million)
% 2.22/0.70 % (19568)------------------------------
% 2.22/0.70 % (19568)------------------------------
% 2.65/0.71 % (19564)Instruction limit reached!
% 2.65/0.71 % (19564)------------------------------
% 2.65/0.71 % (19564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.71 % (19564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.71 % (19564)Termination reason: Unknown
% 2.65/0.71 % (19564)Termination phase: Saturation
% 2.65/0.71
% 2.65/0.71 % (19564)Memory used [KB]: 6780
% 2.65/0.71 % (19564)Time elapsed: 0.315 s
% 2.65/0.71 % (19564)Instructions burned: 101 (million)
% 2.65/0.71 % (19564)------------------------------
% 2.65/0.71 % (19564)------------------------------
% 2.65/0.73 % (19576)First to succeed.
% 2.65/0.73 % (19587)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.65/0.73 % (19585)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.65/0.73 % (19584)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.65/0.73 % (19586)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.65/0.74 % (19588)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.65/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.74 % (19591)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.65/0.75 % (19590)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.65/0.75 % (19592)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.65/0.75 % (19589)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.65/0.76 % (19573)Instruction limit reached!
% 2.65/0.76 % (19573)------------------------------
% 2.65/0.76 % (19573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.76 % (19573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.76 % (19573)Termination reason: Unknown
% 2.65/0.76 % (19573)Termination phase: Saturation
% 2.65/0.76
% 2.65/0.76 % (19573)Memory used [KB]: 7036
% 2.65/0.76 % (19573)Time elapsed: 0.141 s
% 2.65/0.76 % (19573)Instructions burned: 138 (million)
% 2.65/0.76 % (19573)------------------------------
% 2.65/0.76 % (19573)------------------------------
% 2.90/0.78 % (19576)Refutation found. Thanks to Tanya!
% 2.90/0.78 % SZS status Unsatisfiable for theBenchmark
% 2.90/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/0.79 % (19576)------------------------------
% 2.90/0.79 % (19576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.79 % (19576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.79 % (19576)Termination reason: Refutation
% 2.90/0.79
% 2.90/0.79 % (19576)Memory used [KB]: 7803
% 2.90/0.79 % (19576)Time elapsed: 0.190 s
% 2.90/0.79 % (19576)Instructions burned: 133 (million)
% 2.90/0.79 % (19576)------------------------------
% 2.90/0.79 % (19576)------------------------------
% 2.90/0.79 % (19551)Success in time 0.437 s
%------------------------------------------------------------------------------