TSTP Solution File: ALG096+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG096+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 : n009.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 15:42:34 EDT 2022
% Result : Unsatisfiable 6.14s 1.16s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 218
% Syntax : Number of formulae : 1871 ( 120 unt; 0 def)
% Number of atoms : 5393 (2190 equ)
% Maximal formula atoms : 250 ( 2 avg)
% Number of connectives : 6629 (3107 ~;3055 |; 285 &)
% ( 182 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 184 ( 182 usr; 183 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11620,plain,
$false,
inference(avatar_sat_refutation,[],[f661,f721,f755,f807,f828,f854,f880,f1006,f1027,f1044,f1049,f1066,f1079,f1084,f1108,f1123,f1152,f1153,f1167,f1188,f1198,f1222,f1239,f1241,f1266,f1279,f1290,f1295,f1296,f1297,f1302,f1303,f1304,f1311,f1313,f1323,f1328,f1329,f1331,f1336,f1341,f1350,f1351,f1353,f1359,f1368,f1378,f1381,f1384,f1389,f1390,f1397,f1399,f1423,f1424,f1425,f1432,f1434,f1441,f1442,f1450,f1454,f1455,f1462,f1474,f1475,f1477,f1483,f1485,f1486,f1487,f1488,f1493,f1495,f1497,f1501,f1507,f1509,f1510,f1511,f1513,f1515,f1517,f1518,f1520,f1522,f1525,f1538,f1541,f1553,f1567,f1570,f1609,f1626,f1656,f1661,f1677,f1687,f1701,f1752,f1758,f1771,f1782,f1802,f1804,f1816,f1821,f1836,f1840,f1898,f1921,f1945,f1971,f2003,f2009,f2022,f2027,f2043,f2062,f2074,f2090,f2092,f2098,f2109,f2111,f2127,f2139,f2148,f2191,f2214,f2232,f2255,f2276,f2279,f2283,f2321,f2328,f2345,f2370,f2421,f2431,f2436,f2448,f2516,f2532,f2548,f2581,f2590,f2605,f2612,f2665,f2675,f2734,f2754,f2761,f2822,f2867,f2891,f2912,f2922,f2977,f3018,f3068,f3089,f3141,f3148,f3164,f3175,f3188,f3204,f3215,f3253,f3300,f3314,f3325,f3351,f3361,f3373,f3393,f3404,f3419,f3437,f3498,f3520,f3531,f3568,f3571,f3581,f3616,f3619,f3683,f3695,f3711,f3713,f3715,f3756,f3804,f3807,f3808,f3811,f3847,f3858,f3875,f3882,f3900,f3927,f3932,f3998,f4033,f4037,f4051,f4091,f4126,f4145,f4175,f4224,f4234,f4245,f4286,f4288,f4399,f4402,f4429,f4444,f4497,f4529,f4569,f4573,f4581,f4594,f4603,f4649,f4739,f4773,f4783,f4877,f4929,f4963,f4972,f4973,f4994,f5021,f5054,f5056,f5061,f5102,f5104,f5125,f5181,f5183,f5286,f5349,f5357,f5386,f5443,f5496,f5513,f5518,f5521,f5526,f5537,f5541,f5554,f5575,f5578,f5604,f5678,f5686,f5698,f5743,f5808,f5904,f5920,f5943,f6060,f6102,f6108,f6122,f6156,f6160,f6173,f6225,f6243,f6253,f6259,f6316,f6425,f6455,f6514,f6542,f6549,f6556,f6591,f6614,f6626,f6663,f6715,f6756,f6772,f6789,f6863,f6865,f6868,f6895,f6900,f6994,f6997,f7002,f7075,f7098,f7116,f7123,f7240,f7297,f7311,f7322,f7329,f7346,f7361,f7376,f7380,f7396,f7448,f7465,f7468,f7470,f7496,f7507,f7539,f7554,f7589,f7594,f7602,f7604,f7609,f7636,f7677,f7684,f7687,f7698,f7701,f7771,f7790,f7826,f7828,f7955,f7966,f8005,f8014,f8017,f8041,f8062,f8083,f8087,f8171,f8195,f8213,f8272,f8300,f8329,f8331,f8337,f8350,f8375,f8443,f8478,f8490,f8517,f8528,f8546,f8547,f8600,f8630,f8632,f8634,f8638,f8660,f8664,f8697,f8700,f8702,f8771,f8835,f8841,f8845,f8853,f8878,f8895,f8915,f8947,f8969,f8988,f8999,f9042,f9085,f9114,f9146,f9147,f9161,f9173,f9175,f9204,f9221,f9306,f9327,f9349,f9351,f9361,f9375,f9419,f9427,f9458,f9541,f9585,f9591,f9601,f9605,f9612,f9614,f9618,f9626,f9656,f9668,f9699,f9726,f9744,f9794,f9801,f9807,f9815,f9824,f9827,f9829,f9831,f9855,f9860,f9873,f9874,f9880,f9904,f9907,f9916,f9917,f9927,f9957,f9964,f10017,f10020,f10027,f10096,f10105,f10118,f10119,f10120,f10121,f10131,f10161,f10166,f10170,f10171,f10200,f10213,f10214,f10248,f10253,f10255,f10279,f10293,f10387,f10395,f10402,f10407,f10410,f10423,f10430,f10440,f10444,f10456,f10459,f10466,f10518,f10527,f10528,f10538,f10559,f10564,f10569,f10579,f10580,f10582,f10586,f10594,f10606,f10610,f10623,f10635,f10656,f10660,f10694,f10723,f10733,f10738,f10741,f10759,f10761,f10769,f10775,f10834,f10853,f10879,f10887,f10911,f10922,f10926,f10928,f10930,f10932,f10940,f10952,f10974,f11002,f11003,f11124,f11126,f11147,f11155,f11162,f11180,f11187,f11263,f11278,f11291,f11298,f11329,f11339,f11353,f11369,f11373,f11406,f11413,f11430,f11444,f11446,f11473,f11476,f11483,f11485,f11516,f11519,f11540,f11557,f11566,f11589,f11597]) ).
fof(f11597,plain,
( ~ spl0_141
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f11294,f1224,f1181]) ).
fof(f1181,plain,
( spl0_141
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1224,plain,
( spl0_150
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f11294,plain,
( e1 != op(e1,e2)
| ~ spl0_150 ),
inference(forward_demodulation,[],[f368,f1226]) ).
fof(f1226,plain,
( e1 = op(e1,e4)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f368,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e3) != op(e2,e3)
& op(e4,e0) != op(e4,e1)
& op(e0,e2) != op(e4,e2)
& op(e3,e3) != op(e4,e3)
& op(e2,e2) != op(e2,e4)
& op(e3,e1) != op(e3,e4)
& op(e1,e1) != op(e4,e1)
& op(e4,e2) != op(e4,e4)
& op(e0,e1) != op(e0,e4)
& op(e1,e3) != op(e2,e3)
& op(e0,e0) != op(e1,e0)
& op(e2,e3) != op(e3,e3)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e2) != op(e0,e3)
& op(e1,e2) != op(e2,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e3) != op(e4,e3)
& op(e2,e2) != op(e2,e3)
& op(e1,e4) != op(e3,e4)
& op(e4,e1) != op(e4,e2)
& op(e1,e2) != op(e1,e4)
& op(e3,e0) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e3,e3)
& op(e0,e1) != op(e0,e2)
& op(e4,e2) != op(e4,e3)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e4,e2)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e1) != op(e1,e4)
& op(e0,e0) != op(e3,e0)
& op(e4,e1) != op(e4,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e3) != op(e2,e4)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e3,e2)
& op(e3,e4) != op(e4,e4)
& op(e3,e3) != op(e3,e4)
& op(e2,e2) != op(e4,e2)
& op(e3,e0) != op(e3,e3)
& op(e0,e0) != op(e0,e4)
& op(e1,e0) != op(e1,e3)
& op(e0,e0) != op(e0,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e2,e2)
& op(e1,e4) != op(e2,e4)
& op(e4,e0) != op(e4,e3)
& op(e1,e1) != op(e1,e2)
& op(e0,e3) != op(e1,e3)
& op(e4,e1) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e1,e2) != op(e1,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3)
& op(e0,e4) != op(e1,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e0) != op(e2,e3)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e4,e1)
& op(e3,e2) != op(e4,e2)
& op(e0,e1) != op(e3,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e1) != op(e2,e1)
& op(e1,e3) != op(e3,e3)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e2,e0)
& op(e0,e2) != op(e2,e2)
& op(e2,e4) != op(e3,e4)
& op(e2,e1) != op(e3,e1)
& op(e3,e1) != op(e3,e2)
& op(e0,e2) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e0,e2) != op(e0,e4)
& op(e3,e0) != op(e3,e2)
& op(e0,e3) != op(e4,e3)
& op(e0,e0) != op(e0,e3)
& op(e2,e0) != op(e2,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e0,e3)
& op(e4,e3) != op(e4,e4)
& op(e1,e0) != op(e1,e4)
& op(e2,e1) != op(e2,e4)
& op(e1,e0) != op(e3,e0)
& op(e0,e0) != op(e0,e1)
& op(e4,e0) != op(e4,e2)
& op(e3,e2) != op(e3,e4)
& op(e1,e2) != op(e3,e2)
& op(e4,e0) != op(e4,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f11589,plain,
( ~ spl0_16
| ~ spl0_28
| spl0_69 ),
inference(avatar_contradiction_clause,[],[f11588]) ).
fof(f11588,plain,
( $false
| ~ spl0_16
| ~ spl0_28
| spl0_69 ),
inference(subsumption_resolution,[],[f11581,f685]) ).
fof(f685,plain,
( e3 = op(e1,e1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl0_28
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f11581,plain,
( e3 != op(e1,e1)
| ~ spl0_16
| spl0_69 ),
inference(backward_demodulation,[],[f862,f634]) ).
fof(f634,plain,
( e1 = op(op(e2,e2),op(e2,e2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl0_16
<=> e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f862,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| spl0_69 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl0_69
<=> e3 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f11566,plain,
( ~ spl0_57
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f11565,f999,f809]) ).
fof(f809,plain,
( spl0_57
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f999,plain,
( spl0_101
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f11565,plain,
( e3 != op(e0,e3)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f307,f1001]) ).
fof(f1001,plain,
( e3 = op(e4,e3)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f307,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11557,plain,
( ~ spl0_28
| spl0_125
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f11556]) ).
fof(f11556,plain,
( $false
| ~ spl0_28
| spl0_125
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f11547,f685]) ).
fof(f11547,plain,
( e3 != op(e1,e1)
| spl0_125
| ~ spl0_149 ),
inference(backward_demodulation,[],[f1107,f1220]) ).
fof(f1220,plain,
( op(e0,e0) = e1
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl0_149
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1107,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| spl0_125 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1105,plain,
( spl0_125
<=> e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f11540,plain,
( ~ spl0_35
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f11539,f1068,f714]) ).
fof(f714,plain,
( spl0_35
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1068,plain,
( spl0_117
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f11539,plain,
( op(e0,e0) != e2
| ~ spl0_117 ),
inference(forward_demodulation,[],[f298,f1070]) ).
fof(f1070,plain,
( e2 = op(e0,e1)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f298,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f11519,plain,
( ~ spl0_138
| ~ spl0_28
| spl0_30
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f11518,f723,f692,f684,f1169]) ).
fof(f1169,plain,
( spl0_138
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f692,plain,
( spl0_30
<=> e4 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f723,plain,
( spl0_37
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f11518,plain,
( e4 != op(e1,e2)
| ~ spl0_28
| spl0_30
| ~ spl0_37 ),
inference(forward_demodulation,[],[f11517,f724]) ).
fof(f724,plain,
( e2 = op(e3,e3)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f11517,plain,
( e4 != op(e1,op(e3,e3))
| ~ spl0_28
| spl0_30 ),
inference(forward_demodulation,[],[f694,f685]) ).
fof(f694,plain,
( e4 != op(e1,op(op(e1,e1),op(e1,e1)))
| spl0_30 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f11516,plain,
( ~ spl0_35
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f11515,f843,f714]) ).
fof(f843,plain,
( spl0_65
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f11515,plain,
( op(e0,e0) != e2
| ~ spl0_65 ),
inference(forward_demodulation,[],[f379,f845]) ).
fof(f845,plain,
( e2 = op(e1,e0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f379,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f11485,plain,
( ~ spl0_110
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f11484,f723,f1037]) ).
fof(f1037,plain,
( spl0_110
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f11484,plain,
( e2 != op(e3,e0)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f346,f724]) ).
fof(f346,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11483,plain,
( ~ spl0_173
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f11482,f684,f1355]) ).
fof(f1355,plain,
( spl0_173
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f11482,plain,
( e3 != op(e3,e1)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f391,f685]) ).
fof(f391,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f11476,plain,
( ~ spl0_3
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f11475,f1375,f577]) ).
fof(f577,plain,
( spl0_3
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1375,plain,
( spl0_177
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f11475,plain,
( e3 != op(e2,e2)
| ~ spl0_177 ),
inference(forward_demodulation,[],[f340,f1377]) ).
fof(f1377,plain,
( e3 = op(e2,e0)
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f340,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f11473,plain,
( ~ spl0_58
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f11472,f1046,f813]) ).
fof(f813,plain,
( spl0_58
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1046,plain,
( spl0_112
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f11472,plain,
( e1 != op(e0,e3)
| ~ spl0_112 ),
inference(forward_demodulation,[],[f389,f1048]) ).
fof(f1048,plain,
( e1 = op(e2,e3)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f389,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11446,plain,
( ~ spl0_68
| ~ spl0_37
| spl0_46 ),
inference(avatar_split_clause,[],[f11445,f762,f723,f856]) ).
fof(f856,plain,
( spl0_68
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f762,plain,
( spl0_46
<=> e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f11445,plain,
( e1 != op(e2,e2)
| ~ spl0_37
| spl0_46 ),
inference(forward_demodulation,[],[f764,f724]) ).
fof(f764,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl0_46 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f11444,plain,
( ~ spl0_154
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f11424,f1224,f1243]) ).
fof(f1243,plain,
( spl0_154
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f11424,plain,
( e1 != op(e1,e1)
| ~ spl0_150 ),
inference(forward_demodulation,[],[f356,f1226]) ).
fof(f356,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f11430,plain,
( ~ spl0_59
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f11429,f723,f817]) ).
fof(f817,plain,
( spl0_59
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f11429,plain,
( e2 != op(e0,e3)
| ~ spl0_37 ),
inference(backward_demodulation,[],[f364,f724]) ).
fof(f364,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11413,plain,
( ~ spl0_32
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f11412]) ).
fof(f11412,plain,
( $false
| ~ spl0_32
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f10754,f1179]) ).
fof(f1179,plain,
( e0 = op(e1,e2)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1177,plain,
( spl0_140
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f10754,plain,
( e0 != op(e1,e2)
| ~ spl0_32 ),
inference(forward_demodulation,[],[f337,f702]) ).
fof(f702,plain,
( e0 = op(e1,e1)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl0_32
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f337,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f11406,plain,
( ~ spl0_28
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f11405]) ).
fof(f11405,plain,
( $false
| ~ spl0_28
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f11404,f485]) ).
fof(f485,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e1 != e2
& e0 != e3
& e2 != e3
& e0 != e4
& e0 != e2
& e2 != e4
& e1 != e4
& e1 != e3
& e3 != e4
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f11404,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_demodulation,[],[f685,f702]) ).
fof(f11373,plain,
( ~ spl0_178
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f11372,f1224,f1386]) ).
fof(f1386,plain,
( spl0_178
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f11372,plain,
( e1 != op(e2,e4)
| ~ spl0_150 ),
inference(forward_demodulation,[],[f339,f1226]) ).
fof(f339,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f11369,plain,
( spl0_188
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f11363,f1404,f1466]) ).
fof(f1466,plain,
( spl0_188
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1404,plain,
( spl0_180
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f11363,plain,
( e2 = op(e2,e4)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f400,f1406]) ).
fof(f1406,plain,
( e4 = unit
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f400,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e0,unit)
& e1 = op(unit,e1)
& e4 = op(unit,e4)
& e4 = op(e4,unit)
& e0 = op(unit,e0)
& e3 = op(e3,unit)
& e2 = op(e2,unit)
& ( e4 = unit
| e1 = unit
| e0 = unit
| e3 = unit
| e2 = unit )
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e3 = op(unit,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f11353,plain,
( ~ spl0_113
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f11352,f1365,f1051]) ).
fof(f1051,plain,
( spl0_113
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1365,plain,
( spl0_175
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f11352,plain,
( e2 != op(e3,e2)
| ~ spl0_175 ),
inference(forward_demodulation,[],[f322,f1367]) ).
fof(f1367,plain,
( e2 = op(e4,e2)
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f322,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f11339,plain,
( ~ spl0_178
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f11338,f856,f1386]) ).
fof(f11338,plain,
( e1 != op(e2,e4)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f385,f857]) ).
fof(f857,plain,
( e1 = op(e2,e2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f385,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f11329,plain,
( ~ spl0_86
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f11318,f907,f934]) ).
fof(f934,plain,
( spl0_86
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f907,plain,
( spl0_80
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f11318,plain,
( e4 != op(e4,e3)
| ~ spl0_80 ),
inference(backward_demodulation,[],[f302,f909]) ).
fof(f909,plain,
( e4 = op(e4,e4)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f302,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f11298,plain,
( ~ spl0_61
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f11297,f1076,f825]) ).
fof(f825,plain,
( spl0_61
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1076,plain,
( spl0_119
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f11297,plain,
( e4 != op(e0,e3)
| ~ spl0_119 ),
inference(forward_demodulation,[],[f303,f1078]) ).
fof(f1078,plain,
( e4 = op(e0,e1)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f303,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11291,plain,
( ~ spl0_148
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f11290,f856,f1214]) ).
fof(f1214,plain,
( spl0_148
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f11290,plain,
( e1 != op(e2,e0)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f340,f857]) ).
fof(f11278,plain,
( ~ spl0_156
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f11276,f1365,f1255]) ).
fof(f1255,plain,
( spl0_156
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f11276,plain,
( e2 != op(e4,e1)
| ~ spl0_175 ),
inference(backward_demodulation,[],[f369,f1367]) ).
fof(f369,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f11263,plain,
( spl0_34
| ~ spl0_35
| ~ spl0_68
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f11262]) ).
fof(f11262,plain,
( $false
| spl0_34
| ~ spl0_35
| ~ spl0_68
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f11254,f1078]) ).
fof(f11254,plain,
( e4 != op(e0,e1)
| spl0_34
| ~ spl0_35
| ~ spl0_68 ),
inference(backward_demodulation,[],[f11143,f857]) ).
fof(f11143,plain,
( e4 != op(e0,op(e2,e2))
| spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f712,f715]) ).
fof(f715,plain,
( op(e0,e0) = e2
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f712,plain,
( e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| spl0_34 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl0_34
<=> e4 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f11187,plain,
( ~ spl0_173
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f11184,f748,f1355]) ).
fof(f748,plain,
( spl0_43
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f11184,plain,
( e3 != op(e3,e1)
| ~ spl0_43 ),
inference(backward_demodulation,[],[f384,f750]) ).
fof(f750,plain,
( e3 = op(e3,e4)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f384,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f11180,plain,
( ~ spl0_59
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f11179,f714,f817]) ).
fof(f11179,plain,
( e2 != op(e0,e3)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f306,f715]) ).
fof(f306,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11162,plain,
( ~ spl0_99
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f11161,f1055,f990]) ).
fof(f990,plain,
( spl0_99
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1055,plain,
( spl0_114
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f11161,plain,
( e4 != op(e2,e2)
| ~ spl0_114 ),
inference(forward_demodulation,[],[f373,f1057]) ).
fof(f1057,plain,
( e4 = op(e3,e2)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f373,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f11155,plain,
( ~ spl0_82
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f11154,f1055,f916]) ).
fof(f916,plain,
( spl0_82
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f11154,plain,
( e4 != op(e3,e3)
| ~ spl0_114 ),
inference(backward_demodulation,[],[f331,f1057]) ).
fof(f331,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f11147,plain,
( ~ spl0_110
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f11146,f714,f1037]) ).
fof(f11146,plain,
( e2 != op(e3,e0)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f355,f715]) ).
fof(f355,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f11126,plain,
( ~ spl0_35
| ~ spl0_99
| spl0_171 ),
inference(avatar_contradiction_clause,[],[f11125]) ).
fof(f11125,plain,
( $false
| ~ spl0_35
| ~ spl0_99
| spl0_171 ),
inference(subsumption_resolution,[],[f11109,f991]) ).
fof(f991,plain,
( e4 = op(e2,e2)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f11109,plain,
( e4 != op(e2,e2)
| ~ spl0_35
| spl0_171 ),
inference(backward_demodulation,[],[f1340,f715]) ).
fof(f1340,plain,
( e4 != op(op(e0,e0),op(e0,e0))
| spl0_171 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1338,plain,
( spl0_171
<=> e4 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f11124,plain,
( spl0_12
| ~ spl0_32
| ~ spl0_35
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f11123]) ).
fof(f11123,plain,
( $false
| spl0_12
| ~ spl0_32
| ~ spl0_35
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f11113,f1187]) ).
fof(f1187,plain,
( e3 = op(e1,e2)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1185,plain,
( spl0_142
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f11113,plain,
( e3 != op(e1,e2)
| spl0_12
| ~ spl0_32
| ~ spl0_35 ),
inference(backward_demodulation,[],[f10424,f715]) ).
fof(f10424,plain,
( e3 != op(e1,op(e0,e0))
| spl0_12
| ~ spl0_32 ),
inference(forward_demodulation,[],[f617,f702]) ).
fof(f617,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| spl0_12 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl0_12
<=> e3 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f11003,plain,
( spl0_83
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f10993,f1416,f920]) ).
fof(f920,plain,
( spl0_83
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1416,plain,
( spl0_183
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f10993,plain,
( e3 = op(e3,e3)
| ~ spl0_183 ),
inference(backward_demodulation,[],[f396,f1418]) ).
fof(f1418,plain,
( e3 = unit
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f396,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f11002,plain,
( spl0_121
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f10999,f1416,f1087]) ).
fof(f1087,plain,
( spl0_121
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f10999,plain,
( e1 = op(e3,e1)
| ~ spl0_183 ),
inference(backward_demodulation,[],[f405,f1418]) ).
fof(f405,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f10974,plain,
( ~ spl0_136
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f10973,f1155,f1159]) ).
fof(f1159,plain,
( spl0_136
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1155,plain,
( spl0_135
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f10973,plain,
( e0 != op(e2,e3)
| ~ spl0_135 ),
inference(forward_demodulation,[],[f352,f1157]) ).
fof(f1157,plain,
( e0 = op(e2,e4)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f352,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10952,plain,
( ~ spl0_82
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f10951,f934,f916]) ).
fof(f10951,plain,
( e4 != op(e3,e3)
| ~ spl0_86 ),
inference(forward_demodulation,[],[f386,f936]) ).
fof(f936,plain,
( e4 = op(e4,e3)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f386,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10940,plain,
( ~ spl0_122
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f10939,f835,f1093]) ).
fof(f1093,plain,
( spl0_122
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f835,plain,
( spl0_63
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f10939,plain,
( op(e0,e0) != e4
| ~ spl0_63 ),
inference(forward_demodulation,[],[f379,f837]) ).
fof(f837,plain,
( e4 = op(e1,e0)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f10932,plain,
( ~ spl0_79
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f10931,f835,f903]) ).
fof(f903,plain,
( spl0_79
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f10931,plain,
( e4 != op(e1,e4)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f301,f837]) ).
fof(f301,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10930,plain,
( ~ spl0_116
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f10929,f1325,f1063]) ).
fof(f1063,plain,
( spl0_116
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1325,plain,
( spl0_169
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f10929,plain,
( e1 != op(e3,e2)
| ~ spl0_169 ),
inference(forward_demodulation,[],[f350,f1327]) ).
fof(f1327,plain,
( e1 = op(e0,e2)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f350,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10928,plain,
( ~ spl0_58
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f10927,f1325,f813]) ).
fof(f10927,plain,
( e1 != op(e0,e3)
| ~ spl0_169 ),
inference(forward_demodulation,[],[f375,f1327]) ).
fof(f375,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10926,plain,
( ~ spl0_61
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f10924,f934,f825]) ).
fof(f10924,plain,
( e4 != op(e0,e3)
| ~ spl0_86 ),
inference(backward_demodulation,[],[f307,f936]) ).
fof(f10922,plain,
( ~ spl0_52
| spl0_16
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f10918,f990,f633,f787]) ).
fof(f787,plain,
( spl0_52
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f10918,plain,
( e1 != op(e4,e4)
| spl0_16
| ~ spl0_99 ),
inference(backward_demodulation,[],[f635,f991]) ).
fof(f635,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl0_16 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f10911,plain,
( ~ spl0_68
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f10910,f1325,f856]) ).
fof(f10910,plain,
( e1 != op(e2,e2)
| ~ spl0_169 ),
inference(forward_demodulation,[],[f315,f1327]) ).
fof(f315,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10887,plain,
( ~ spl0_79
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f10885,f752,f903]) ).
fof(f752,plain,
( spl0_44
<=> e4 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f10885,plain,
( e4 != op(e1,e4)
| ~ spl0_44 ),
inference(backward_demodulation,[],[f370,f754]) ).
fof(f754,plain,
( e4 = op(e3,e4)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f370,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10879,plain,
( ~ spl0_43
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f10878,f865,f748]) ).
fof(f865,plain,
( spl0_70
<=> e3 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f10878,plain,
( e3 != op(e3,e4)
| ~ spl0_70 ),
inference(backward_demodulation,[],[f326,f867]) ).
fof(f867,plain,
( e3 = op(e0,e4)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f326,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10853,plain,
( ~ spl0_32
| ~ spl0_73
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f10852]) ).
fof(f10852,plain,
( $false
| ~ spl0_32
| ~ spl0_73
| spl0_91 ),
inference(subsumption_resolution,[],[f10546,f879]) ).
fof(f879,plain,
( op(e0,e0) = e3
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl0_73
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f10546,plain,
( op(e0,e0) != e3
| ~ spl0_32
| spl0_91 ),
inference(forward_demodulation,[],[f957,f702]) ).
fof(f957,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl0_91 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl0_91
<=> e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f10834,plain,
( ~ spl0_22
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f10696,f999,f658]) ).
fof(f658,plain,
( spl0_22
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f10696,plain,
( e3 != op(e1,e3)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f372,f1001]) ).
fof(f372,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10775,plain,
( ~ spl0_63
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f10774,f1333,f835]) ).
fof(f1333,plain,
( spl0_170
<=> e4 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f10774,plain,
( e4 != op(e1,e0)
| ~ spl0_170 ),
inference(forward_demodulation,[],[f357,f1335]) ).
fof(f1335,plain,
( e4 = op(e2,e0)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f357,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f10769,plain,
( ~ spl0_138
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f10767,f1480,f1169]) ).
fof(f1480,plain,
( spl0_190
<=> e4 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f10767,plain,
( e4 != op(e1,e2)
| ~ spl0_190 ),
inference(backward_demodulation,[],[f311,f1482]) ).
fof(f1482,plain,
( e4 = op(e0,e2)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f311,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10761,plain,
( ~ spl0_71
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f10760,f877,f869]) ).
fof(f869,plain,
( spl0_71
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f10760,plain,
( e3 != op(e0,e2)
| ~ spl0_73 ),
inference(forward_demodulation,[],[f343,f879]) ).
fof(f343,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10759,plain,
( ~ spl0_46
| ~ spl0_73
| spl0_160 ),
inference(avatar_split_clause,[],[f10758,f1272,f877,f762]) ).
fof(f1272,plain,
( spl0_160
<=> e1 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f10758,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| ~ spl0_73
| spl0_160 ),
inference(forward_demodulation,[],[f1274,f879]) ).
fof(f1274,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| spl0_160 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f10741,plain,
( ~ spl0_187
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f10625,f1466,f1459]) ).
fof(f1459,plain,
( spl0_187
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f10625,plain,
( e2 != op(e2,e0)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f305,f1468]) ).
fof(f1468,plain,
( e2 = op(e2,e4)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f305,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10738,plain,
( ~ spl0_66
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f10737,f877,f847]) ).
fof(f847,plain,
( spl0_66
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f10737,plain,
( e3 != op(e1,e0)
| ~ spl0_73 ),
inference(forward_demodulation,[],[f379,f879]) ).
fof(f10733,plain,
( ~ spl0_72
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f10731,f877,f873]) ).
fof(f873,plain,
( spl0_72
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f10731,plain,
( e3 != op(e0,e1)
| ~ spl0_73 ),
inference(backward_demodulation,[],[f298,f879]) ).
fof(f10723,plain,
( ~ spl0_83
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f10722,f748,f920]) ).
fof(f10722,plain,
( e3 != op(e3,e3)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f348,f750]) ).
fof(f348,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10694,plain,
( spl0_11
| ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f10693]) ).
fof(f10693,plain,
( $false
| spl0_11
| ~ spl0_32
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f10497,f715]) ).
fof(f10497,plain,
( op(e0,e0) != e2
| spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f613,f702]) ).
fof(f613,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| spl0_11 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl0_11
<=> e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f10660,plain,
( ~ spl0_59
| ~ spl0_125
| spl0_172 ),
inference(avatar_split_clause,[],[f10447,f1344,f1105,f817]) ).
fof(f1344,plain,
( spl0_172
<=> e2 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f10447,plain,
( e2 != op(e0,e3)
| ~ spl0_125
| spl0_172 ),
inference(backward_demodulation,[],[f1346,f1106]) ).
fof(f1106,plain,
( e3 = op(op(e0,e0),op(e0,e0))
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1346,plain,
( e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| spl0_172 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f10656,plain,
( spl0_179
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f10655,f1404,f1393]) ).
fof(f1393,plain,
( spl0_179
<=> e0 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f10655,plain,
( e0 = op(e4,e0)
| ~ spl0_180 ),
inference(forward_demodulation,[],[f402,f1406]) ).
fof(f402,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f10635,plain,
( spl0_3
| ~ spl0_35
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f10634,f1105,f714,f577]) ).
fof(f10634,plain,
( e3 = op(e2,e2)
| ~ spl0_35
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1106,f715]) ).
fof(f10623,plain,
( ~ spl0_88
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f10618,f907,f942]) ).
fof(f942,plain,
( spl0_88
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f10618,plain,
( e4 != op(e4,e0)
| ~ spl0_80 ),
inference(backward_demodulation,[],[f294,f909]) ).
fof(f294,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10610,plain,
( ~ spl0_186
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f10609,f825,f1447]) ).
fof(f1447,plain,
( spl0_186
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f10609,plain,
( e4 != op(e2,e3)
| ~ spl0_61 ),
inference(backward_demodulation,[],[f389,f827]) ).
fof(f827,plain,
( e4 = op(e0,e3)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f10606,plain,
( ~ spl0_129
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f10605,f999,f1125]) ).
fof(f1125,plain,
( spl0_129
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f10605,plain,
( e3 != op(e2,e3)
| ~ spl0_101 ),
inference(forward_demodulation,[],[f334,f1001]) ).
fof(f334,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10594,plain,
( ~ spl0_151
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f10589,f650,f1228]) ).
fof(f1228,plain,
( spl0_151
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f650,plain,
( spl0_20
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10589,plain,
( e2 != op(e1,e4)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f361,f652]) ).
fof(f652,plain,
( e2 = op(e1,e3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f361,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10586,plain,
( ~ spl0_164
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f10585,f1365,f1292]) ).
fof(f1292,plain,
( spl0_164
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f10585,plain,
( e2 != op(e0,e2)
| ~ spl0_175 ),
inference(forward_demodulation,[],[f387,f1367]) ).
fof(f387,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10582,plain,
( ~ spl0_134
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f10581,f1365,f1149]) ).
fof(f1149,plain,
( spl0_134
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f10581,plain,
( e2 != op(e2,e2)
| ~ spl0_175 ),
inference(forward_demodulation,[],[f347,f1367]) ).
fof(f347,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10580,plain,
( spl0_150
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f10575,f1404,f1224]) ).
fof(f10575,plain,
( e1 = op(e1,e4)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f397,f1406]) ).
fof(f397,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f10579,plain,
( spl0_80
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f10577,f1404,f907]) ).
fof(f10577,plain,
( e4 = op(e4,e4)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f404,f1406]) ).
fof(f404,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f10569,plain,
( ~ spl0_99
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f10568,f1169,f990]) ).
fof(f10568,plain,
( e4 != op(e2,e2)
| ~ spl0_138 ),
inference(backward_demodulation,[],[f374,f1171]) ).
fof(f1171,plain,
( e4 = op(e1,e2)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f374,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10564,plain,
( ~ spl0_134
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f10563,f1466,f1149]) ).
fof(f10563,plain,
( e2 != op(e2,e2)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f385,f1468]) ).
fof(f10559,plain,
( ~ spl0_105
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f10558,f1466,f1016]) ).
fof(f1016,plain,
( spl0_105
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f10558,plain,
( e2 != op(e2,e1)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f300,f1468]) ).
fof(f300,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10538,plain,
( ~ spl0_139
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f10537,f1365,f1173]) ).
fof(f1173,plain,
( spl0_139
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f10537,plain,
( e2 != op(e1,e2)
| ~ spl0_175 ),
inference(forward_demodulation,[],[f360,f1367]) ).
fof(f360,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10528,plain,
( ~ spl0_16
| ~ spl0_35
| spl0_160 ),
inference(avatar_split_clause,[],[f10526,f1272,f714,f633]) ).
fof(f10526,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| ~ spl0_35
| spl0_160 ),
inference(backward_demodulation,[],[f1274,f715]) ).
fof(f10527,plain,
( ~ spl0_185
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f10523,f714,f1429]) ).
fof(f1429,plain,
( spl0_185
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f10523,plain,
( e2 != op(e4,e0)
| ~ spl0_35 ),
inference(backward_demodulation,[],[f324,f715]) ).
fof(f324,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f10518,plain,
( ~ spl0_186
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f10517,f1012,f1447]) ).
fof(f1012,plain,
( spl0_104
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f10517,plain,
( e4 != op(e2,e3)
| ~ spl0_104 ),
inference(forward_demodulation,[],[f328,f1014]) ).
fof(f1014,plain,
( e4 = op(e2,e1)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f328,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10466,plain,
( spl0_73
| ~ spl0_32
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f10339,f955,f701,f877]) ).
fof(f10339,plain,
( op(e0,e0) = e3
| ~ spl0_32
| ~ spl0_91 ),
inference(forward_demodulation,[],[f956,f702]) ).
fof(f956,plain,
( e3 = op(op(e1,e1),op(e1,e1))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f10459,plain,
( ~ spl0_163
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f10458]) ).
fof(f10458,plain,
( $false
| ~ spl0_163
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f10457,f481]) ).
fof(f481,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f10457,plain,
( e2 = e4
| ~ spl0_163
| ~ spl0_166 ),
inference(forward_demodulation,[],[f1310,f1289]) ).
fof(f1289,plain,
( e2 = op(e3,e1)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1287,plain,
( spl0_163
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1310,plain,
( e4 = op(e3,e1)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1308,plain,
( spl0_166
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f10456,plain,
( ~ spl0_158
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f10455,f701,f1263]) ).
fof(f1263,plain,
( spl0_158
<=> e0 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f10455,plain,
( e0 != op(e4,e1)
| ~ spl0_32 ),
inference(forward_demodulation,[],[f383,f702]) ).
fof(f383,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f10444,plain,
( ~ spl0_19
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f10443,f1003,f646]) ).
fof(f646,plain,
( spl0_19
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1003,plain,
( spl0_102
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f10443,plain,
( e0 != op(e1,e3)
| ~ spl0_102 ),
inference(forward_demodulation,[],[f372,f1005]) ).
fof(f1005,plain,
( e0 = op(e4,e3)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f10440,plain,
( ~ spl0_171
| ~ spl0_32
| spl0_89 ),
inference(avatar_split_clause,[],[f10439,f947,f701,f1338]) ).
fof(f947,plain,
( spl0_89
<=> e4 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f10439,plain,
( e4 != op(op(e0,e0),op(e0,e0))
| ~ spl0_32
| spl0_89 ),
inference(forward_demodulation,[],[f949,f702]) ).
fof(f949,plain,
( e4 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| spl0_89 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f10430,plain,
( ~ spl0_156
| ~ spl0_81
| spl0_131
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10429,f1190,f1135,f912,f1255]) ).
fof(f912,plain,
( spl0_81
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1135,plain,
( spl0_131
<=> e2 = op(e4,op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1190,plain,
( spl0_143
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f10429,plain,
( e2 != op(e4,e1)
| ~ spl0_81
| spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f10428,f914]) ).
fof(f914,plain,
( e1 = op(e3,e3)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f10428,plain,
( e2 != op(e4,op(e3,e3))
| spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f1137,f1191]) ).
fof(f1191,plain,
( e3 = op(e4,e4)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1137,plain,
( e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| spl0_131 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f10423,plain,
( ~ spl0_157
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10422,f1190,f1259]) ).
fof(f1259,plain,
( spl0_157
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f10422,plain,
( e3 != op(e4,e1)
| ~ spl0_143 ),
inference(forward_demodulation,[],[f354,f1191]) ).
fof(f354,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10410,plain,
( spl0_49
| ~ spl0_76
| ~ spl0_81
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10409,f1190,f912,f890,f775]) ).
fof(f775,plain,
( spl0_49
<=> e1 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f890,plain,
( spl0_76
<=> e1 = op(e4,op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f10409,plain,
( e1 = op(e4,e1)
| ~ spl0_76
| ~ spl0_81
| ~ spl0_143 ),
inference(forward_demodulation,[],[f10408,f914]) ).
fof(f10408,plain,
( e1 = op(e4,op(e3,e3))
| ~ spl0_76
| ~ spl0_143 ),
inference(forward_demodulation,[],[f891,f1191]) ).
fof(f891,plain,
( e1 = op(e4,op(op(e4,e4),op(e4,e4)))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f10407,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f10406]) ).
fof(f10406,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f10405,f483]) ).
fof(f483,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f10405,plain,
( e0 = e4
| ~ spl0_32
| ~ spl0_39
| ~ spl0_81 ),
inference(forward_demodulation,[],[f10202,f702]) ).
fof(f10202,plain,
( e4 = op(e1,e1)
| ~ spl0_39
| ~ spl0_81 ),
inference(forward_demodulation,[],[f732,f914]) ).
fof(f732,plain,
( e4 = op(op(e3,e3),op(e3,e3))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl0_39
<=> e4 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f10402,plain,
( ~ spl0_22
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f10224,f1125,f658]) ).
fof(f10224,plain,
( e3 != op(e1,e3)
| ~ spl0_129 ),
inference(forward_demodulation,[],[f380,f1127]) ).
fof(f1127,plain,
( e3 = op(e2,e3)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f380,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10395,plain,
( ~ spl0_156
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f10391,f1429,f1255]) ).
fof(f10391,plain,
( e2 != op(e4,e1)
| ~ spl0_185 ),
inference(backward_demodulation,[],[f388,f1431]) ).
fof(f1431,plain,
( e2 = op(e4,e0)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f388,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f10387,plain,
( ~ spl0_49
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f10386,f1024,f775]) ).
fof(f1024,plain,
( spl0_107
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f10386,plain,
( e1 != op(e4,e1)
| ~ spl0_107 ),
inference(forward_demodulation,[],[f366,f1026]) ).
fof(f1026,plain,
( e1 = op(e2,e1)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f366,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f10293,plain,
( ~ spl0_81
| ~ spl0_131
| ~ spl0_143
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f10292]) ).
fof(f10292,plain,
( $false
| ~ spl0_81
| ~ spl0_131
| ~ spl0_143
| ~ spl0_158 ),
inference(subsumption_resolution,[],[f10291,f482]) ).
fof(f482,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f10291,plain,
( e0 = e2
| ~ spl0_81
| ~ spl0_131
| ~ spl0_143
| ~ spl0_158 ),
inference(forward_demodulation,[],[f10290,f1265]) ).
fof(f1265,plain,
( e0 = op(e4,e1)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f10290,plain,
( e2 = op(e4,e1)
| ~ spl0_81
| ~ spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f10289,f914]) ).
fof(f10289,plain,
( e2 = op(e4,op(e3,e3))
| ~ spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f1136,f1191]) ).
fof(f1136,plain,
( e2 = op(e4,op(op(e4,e4),op(e4,e4)))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f10279,plain,
( ~ spl0_93
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f10278,f972,f964]) ).
fof(f964,plain,
( spl0_93
<=> e0 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f972,plain,
( spl0_95
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f10278,plain,
( e0 != op(e0,e4)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f309,f974]) ).
fof(f974,plain,
( e0 = op(e0,e2)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f309,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10255,plain,
( ~ spl0_111
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f10254,f1059,f1041]) ).
fof(f1041,plain,
( spl0_111
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1059,plain,
( spl0_115
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f10254,plain,
( e3 != op(e3,e0)
| ~ spl0_115 ),
inference(forward_demodulation,[],[f308,f1061]) ).
fof(f1061,plain,
( e3 = op(e3,e2)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f308,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10253,plain,
( ~ spl0_142
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f10252,f1059,f1185]) ).
fof(f10252,plain,
( e3 != op(e1,e2)
| ~ spl0_115 ),
inference(forward_demodulation,[],[f295,f1061]) ).
fof(f295,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10248,plain,
( ~ spl0_9
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f10247]) ).
fof(f10247,plain,
( $false
| ~ spl0_9
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f10244,f483]) ).
fof(f10244,plain,
( e0 = e4
| ~ spl0_9
| ~ spl0_32 ),
inference(backward_demodulation,[],[f604,f702]) ).
fof(f604,plain,
( e4 = op(e1,e1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl0_9
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f10214,plain,
( spl0_95
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f10210,f1412,f972]) ).
fof(f1412,plain,
( spl0_182
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f10210,plain,
( e0 = op(e0,e2)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f406,f1414]) ).
fof(f1414,plain,
( e2 = unit
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f406,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f10213,plain,
( spl0_141
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f10205,f1412,f1181]) ).
fof(f10205,plain,
( e1 = op(e1,e2)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f397,f1414]) ).
fof(f10200,plain,
( ~ spl0_166
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f10199,f603,f1308]) ).
fof(f10199,plain,
( e4 != op(e3,e1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f391,f604]) ).
fof(f10171,plain,
( ~ spl0_88
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f10169,f930,f942]) ).
fof(f930,plain,
( spl0_85
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f10169,plain,
( e4 != op(e4,e0)
| ~ spl0_85 ),
inference(backward_demodulation,[],[f297,f932]) ).
fof(f932,plain,
( e4 = op(e4,e2)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f297,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f10170,plain,
( ~ spl0_99
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f10167,f930,f990]) ).
fof(f10167,plain,
( e4 != op(e2,e2)
| ~ spl0_85 ),
inference(backward_demodulation,[],[f347,f932]) ).
fof(f10166,plain,
( ~ spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f10165,f899,f895]) ).
fof(f895,plain,
( spl0_77
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f899,plain,
( spl0_78
<=> e4 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f10165,plain,
( e4 != op(e0,e4)
| ~ spl0_78 ),
inference(forward_demodulation,[],[f325,f901]) ).
fof(f901,plain,
( e4 = op(e2,e4)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f325,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10161,plain,
( ~ spl0_112
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f10160,f912,f1046]) ).
fof(f10160,plain,
( e1 != op(e2,e3)
| ~ spl0_81 ),
inference(forward_demodulation,[],[f378,f914]) ).
fof(f378,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f10131,plain,
( ~ spl0_116
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f10130,f912,f1063]) ).
fof(f10130,plain,
( e1 != op(e3,e2)
| ~ spl0_81 ),
inference(forward_demodulation,[],[f331,f914]) ).
fof(f10121,plain,
( ~ spl0_153
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10107,f1190,f1236]) ).
fof(f1236,plain,
( spl0_153
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f10107,plain,
( e3 != op(e1,e4)
| ~ spl0_143 ),
inference(backward_demodulation,[],[f293,f1191]) ).
fof(f293,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10120,plain,
( ~ spl0_144
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10110,f1190,f1195]) ).
fof(f1195,plain,
( spl0_144
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f10110,plain,
( e3 != op(e4,e2)
| ~ spl0_143 ),
inference(backward_demodulation,[],[f382,f1191]) ).
fof(f382,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10119,plain,
( ~ spl0_70
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10109,f1190,f865]) ).
fof(f10109,plain,
( e3 != op(e0,e4)
| ~ spl0_143 ),
inference(backward_demodulation,[],[f359,f1191]) ).
fof(f359,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10118,plain,
( ~ spl0_32
| spl0_74
| ~ spl0_81
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10117,f1190,f912,f882,f701]) ).
fof(f882,plain,
( spl0_74
<=> e0 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f10117,plain,
( e0 != op(e1,e1)
| spl0_74
| ~ spl0_81
| ~ spl0_143 ),
inference(forward_demodulation,[],[f10112,f914]) ).
fof(f10112,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_74
| ~ spl0_143 ),
inference(backward_demodulation,[],[f884,f1191]) ).
fof(f884,plain,
( e0 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| spl0_74 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f10105,plain,
( ~ spl0_57
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f10104,f1125,f809]) ).
fof(f10104,plain,
( e3 != op(e0,e3)
| ~ spl0_129 ),
inference(forward_demodulation,[],[f389,f1127]) ).
fof(f10096,plain,
( ~ spl0_45
| spl0_24
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f10095,f912,f667,f757]) ).
fof(f757,plain,
( spl0_45
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f667,plain,
( spl0_24
<=> e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f10095,plain,
( e2 != op(e1,e1)
| spl0_24
| ~ spl0_81 ),
inference(forward_demodulation,[],[f669,f914]) ).
fof(f669,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| spl0_24 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f10027,plain,
( ~ spl0_41
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f10026,f1466,f740]) ).
fof(f740,plain,
( spl0_41
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f10026,plain,
( e2 != op(e3,e4)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f314,f1468]) ).
fof(f314,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f10020,plain,
( spl0_34
| ~ spl0_45
| ~ spl0_149
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f10019]) ).
fof(f10019,plain,
( $false
| spl0_34
| ~ spl0_45
| ~ spl0_149
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f10012,f1482]) ).
fof(f10012,plain,
( e4 != op(e0,e2)
| spl0_34
| ~ spl0_45
| ~ spl0_149 ),
inference(backward_demodulation,[],[f9930,f758]) ).
fof(f758,plain,
( e2 = op(e1,e1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f9930,plain,
( e4 != op(e0,op(e1,e1))
| spl0_34
| ~ spl0_149 ),
inference(forward_demodulation,[],[f712,f1220]) ).
fof(f10017,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_23
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f10016]) ).
fof(f10016,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_23
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f10015,f664]) ).
fof(f664,plain,
( e0 = op(e3,e3)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl0_23
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f10015,plain,
( e0 != op(e3,e3)
| ~ spl0_3
| spl0_10
| ~ spl0_45 ),
inference(forward_demodulation,[],[f10001,f578]) ).
fof(f578,plain,
( e3 = op(e2,e2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f10001,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl0_10
| ~ spl0_45 ),
inference(backward_demodulation,[],[f609,f758]) ).
fof(f609,plain,
( e0 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| spl0_10 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f607,plain,
( spl0_10
<=> e0 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f9964,plain,
( ~ spl0_85
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f9963,f907,f930]) ).
fof(f9963,plain,
( e4 != op(e4,e2)
| ~ spl0_80 ),
inference(forward_demodulation,[],[f382,f909]) ).
fof(f9957,plain,
( spl0_43
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9956,f1404,f748]) ).
fof(f9956,plain,
( e3 = op(e3,e4)
| ~ spl0_180 ),
inference(forward_demodulation,[],[f401,f1406]) ).
fof(f401,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f9927,plain,
( ~ spl0_128
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9926,f1466,f1120]) ).
fof(f1120,plain,
( spl0_128
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f9926,plain,
( e2 != op(e0,e4)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f325,f1468]) ).
fof(f9917,plain,
( ~ spl0_158
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f9912,f1393,f1263]) ).
fof(f9912,plain,
( e0 != op(e4,e1)
| ~ spl0_179 ),
inference(backward_demodulation,[],[f388,f1395]) ).
fof(f1395,plain,
( e0 = op(e4,e0)
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f9916,plain,
( ~ spl0_137
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f9911,f1393,f1163]) ).
fof(f1163,plain,
( spl0_137
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f9911,plain,
( e0 != op(e2,e0)
| ~ spl0_179 ),
inference(backward_demodulation,[],[f377,f1395]) ).
fof(f377,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f9907,plain,
( ~ spl0_115
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9906,f577,f1059]) ).
fof(f9906,plain,
( e3 != op(e3,e2)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f373,f578]) ).
fof(f9904,plain,
( spl0_93
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9903,f1404,f964]) ).
fof(f9903,plain,
( e0 = op(e0,e4)
| ~ spl0_180 ),
inference(forward_demodulation,[],[f406,f1406]) ).
fof(f9880,plain,
( ~ spl0_106
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9879,f577,f1020]) ).
fof(f1020,plain,
( spl0_106
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f9879,plain,
( e3 != op(e2,e1)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f353,f578]) ).
fof(f353,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f9874,plain,
( spl0_175
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9871,f1404,f1365]) ).
fof(f9871,plain,
( e2 = op(e4,e2)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f398,f1406]) ).
fof(f398,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f9873,plain,
( spl0_101
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9869,f1404,f999]) ).
fof(f9869,plain,
( e3 = op(e4,e3)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f396,f1406]) ).
fof(f9860,plain,
( ~ spl0_114
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9859,f1480,f1055]) ).
fof(f9859,plain,
( e4 != op(e3,e2)
| ~ spl0_190 ),
inference(forward_demodulation,[],[f350,f1482]) ).
fof(f9855,plain,
( ~ spl0_128
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f9853,f817,f1120]) ).
fof(f9853,plain,
( e2 != op(e0,e4)
| ~ spl0_59 ),
inference(backward_demodulation,[],[f365,f819]) ).
fof(f819,plain,
( e2 = op(e0,e3)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f365,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f9831,plain,
( ~ spl0_165
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f9830,f847,f1299]) ).
fof(f1299,plain,
( spl0_165
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f9830,plain,
( e3 != op(e4,e0)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f358,f849]) ).
fof(f849,plain,
( e3 = op(e1,e0)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f358,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f9829,plain,
( ~ spl0_142
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f9828,f847,f1185]) ).
fof(f9828,plain,
( e3 != op(e1,e2)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f292,f849]) ).
fof(f292,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f9827,plain,
( ~ spl0_22
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f9826,f847,f658]) ).
fof(f9826,plain,
( e3 != op(e1,e3)
| ~ spl0_66 ),
inference(forward_demodulation,[],[f344,f849]) ).
fof(f344,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f9824,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f9823]) ).
fof(f9823,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f9816,f664]) ).
fof(f9816,plain,
( e0 != op(e3,e3)
| spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f575,f578]) ).
fof(f575,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| spl0_2 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl0_2
<=> e0 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f9815,plain,
( ~ spl0_85
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9812,f1480,f930]) ).
fof(f9812,plain,
( e4 != op(e4,e2)
| ~ spl0_190 ),
inference(backward_demodulation,[],[f387,f1482]) ).
fof(f9807,plain,
( ~ spl0_9
| ~ spl0_149
| spl0_171 ),
inference(avatar_split_clause,[],[f9806,f1338,f1218,f603]) ).
fof(f9806,plain,
( e4 != op(e1,e1)
| ~ spl0_149
| spl0_171 ),
inference(forward_demodulation,[],[f1340,f1220]) ).
fof(f9801,plain,
( ~ spl0_71
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f9800,f873,f869]) ).
fof(f9800,plain,
( e3 != op(e0,e2)
| ~ spl0_72 ),
inference(forward_demodulation,[],[f363,f875]) ).
fof(f875,plain,
( e3 = op(e0,e1)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f363,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f9794,plain,
( ~ spl0_9
| ~ spl0_128
| ~ spl0_149
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f9793]) ).
fof(f9793,plain,
( $false
| ~ spl0_9
| ~ spl0_128
| ~ spl0_149
| ~ spl0_161 ),
inference(subsumption_resolution,[],[f9792,f484]) ).
fof(f484,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f9792,plain,
( e2 = e3
| ~ spl0_9
| ~ spl0_128
| ~ spl0_149
| ~ spl0_161 ),
inference(forward_demodulation,[],[f9791,f1122]) ).
fof(f1122,plain,
( e2 = op(e0,e4)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f9791,plain,
( e3 = op(e0,e4)
| ~ spl0_9
| ~ spl0_149
| ~ spl0_161 ),
inference(forward_demodulation,[],[f9790,f604]) ).
fof(f9790,plain,
( e3 = op(e0,op(e1,e1))
| ~ spl0_149
| ~ spl0_161 ),
inference(forward_demodulation,[],[f1277,f1220]) ).
fof(f1277,plain,
( e3 = op(e0,op(op(e0,e0),op(e0,e0)))
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1276,plain,
( spl0_161
<=> e3 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f9744,plain,
( ~ spl0_23
| spl0_131
| ~ spl0_143
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f9743]) ).
fof(f9743,plain,
( $false
| ~ spl0_23
| spl0_131
| ~ spl0_143
| ~ spl0_185 ),
inference(subsumption_resolution,[],[f9742,f1431]) ).
fof(f9742,plain,
( e2 != op(e4,e0)
| ~ spl0_23
| spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f9741,f664]) ).
fof(f9741,plain,
( e2 != op(e4,op(e3,e3))
| spl0_131
| ~ spl0_143 ),
inference(forward_demodulation,[],[f1137,f1191]) ).
fof(f9726,plain,
( ~ spl0_50
| ~ spl0_23
| spl0_76
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f9725,f1190,f890,f663,f779]) ).
fof(f779,plain,
( spl0_50
<=> e1 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f9725,plain,
( e1 != op(e4,e0)
| ~ spl0_23
| spl0_76
| ~ spl0_143 ),
inference(forward_demodulation,[],[f9709,f664]) ).
fof(f9709,plain,
( e1 != op(e4,op(e3,e3))
| spl0_76
| ~ spl0_143 ),
inference(backward_demodulation,[],[f892,f1191]) ).
fof(f892,plain,
( e1 != op(e4,op(op(e4,e4),op(e4,e4)))
| spl0_76 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f9699,plain,
( ~ spl0_13
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f9694,f1263,f620]) ).
fof(f620,plain,
( spl0_13
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f9694,plain,
( e0 != op(e4,e4)
| ~ spl0_158 ),
inference(backward_demodulation,[],[f354,f1265]) ).
fof(f9668,plain,
( ~ spl0_13
| ~ spl0_9
| spl0_27 ),
inference(avatar_split_clause,[],[f9667,f680,f603,f620]) ).
fof(f680,plain,
( spl0_27
<=> e0 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f9667,plain,
( e0 != op(e4,e4)
| ~ spl0_9
| spl0_27 ),
inference(forward_demodulation,[],[f682,f604]) ).
fof(f682,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| spl0_27 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f9656,plain,
( ~ spl0_41
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f9655,f1287,f740]) ).
fof(f9655,plain,
( e2 != op(e3,e4)
| ~ spl0_163 ),
inference(forward_demodulation,[],[f384,f1289]) ).
fof(f9626,plain,
( ~ spl0_8
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f9622,f1120,f598]) ).
fof(f598,plain,
( spl0_8
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f9622,plain,
( e2 != op(e4,e4)
| ~ spl0_128 ),
inference(backward_demodulation,[],[f359,f1122]) ).
fof(f9618,plain,
( ~ spl0_8
| spl0_123
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f9617,f1338,f1097,f598]) ).
fof(f1097,plain,
( spl0_123
<=> e2 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f9617,plain,
( e2 != op(e4,e4)
| spl0_123
| ~ spl0_171 ),
inference(backward_demodulation,[],[f1099,f1339]) ).
fof(f1339,plain,
( e4 = op(op(e0,e0),op(e0,e0))
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1099,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| spl0_123 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f9614,plain,
( spl0_143
| ~ spl0_9
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f9613,f955,f603,f1190]) ).
fof(f9613,plain,
( e3 = op(e4,e4)
| ~ spl0_9
| ~ spl0_91 ),
inference(forward_demodulation,[],[f956,f604]) ).
fof(f9612,plain,
( spl0_85
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f9462,f1412,f930]) ).
fof(f9462,plain,
( e4 = op(e4,e2)
| ~ spl0_182 ),
inference(forward_demodulation,[],[f403,f1414]) ).
fof(f403,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f9605,plain,
( ~ spl0_8
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f9604,f1429,f598]) ).
fof(f9604,plain,
( e2 != op(e4,e4)
| ~ spl0_185 ),
inference(backward_demodulation,[],[f294,f1431]) ).
fof(f9601,plain,
( ~ spl0_43
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f9600,f1059,f748]) ).
fof(f9600,plain,
( e3 != op(e3,e4)
| ~ spl0_115 ),
inference(forward_demodulation,[],[f296,f1061]) ).
fof(f296,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f9591,plain,
( ~ spl0_63
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f8983,f603,f835]) ).
fof(f8983,plain,
( e4 != op(e1,e0)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f351,f604]) ).
fof(f351,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f9585,plain,
( ~ spl0_18
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f9584,f1181,f642]) ).
fof(f642,plain,
( spl0_18
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9584,plain,
( e1 != op(e1,e3)
| ~ spl0_141 ),
inference(forward_demodulation,[],[f333,f1183]) ).
fof(f1183,plain,
( e1 = op(e1,e2)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f333,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f9541,plain,
( ~ spl0_9
| spl0_39
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f9540]) ).
fof(f9540,plain,
( $false
| ~ spl0_9
| spl0_39
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f9539,f604]) ).
fof(f9539,plain,
( e4 != op(e1,e1)
| spl0_39
| ~ spl0_81 ),
inference(forward_demodulation,[],[f733,f914]) ).
fof(f733,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| spl0_39 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f9458,plain,
( spl0_107
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f9457,f1412,f1024]) ).
fof(f9457,plain,
( e1 = op(e2,e1)
| ~ spl0_182 ),
inference(forward_demodulation,[],[f405,f1414]) ).
fof(f9427,plain,
( ~ spl0_170
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f9426,f899,f1333]) ).
fof(f9426,plain,
( e4 != op(e2,e0)
| ~ spl0_78 ),
inference(forward_demodulation,[],[f305,f901]) ).
fof(f9419,plain,
( ~ spl0_104
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f9417,f899,f1012]) ).
fof(f9417,plain,
( e4 != op(e2,e1)
| ~ spl0_78 ),
inference(backward_demodulation,[],[f300,f901]) ).
fof(f9375,plain,
( ~ spl0_70
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f9373,f877,f865]) ).
fof(f9373,plain,
( e3 != op(e0,e4)
| ~ spl0_73 ),
inference(backward_demodulation,[],[f345,f879]) ).
fof(f345,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f9361,plain,
( ~ spl0_189
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f9359,f817,f1470]) ).
fof(f1470,plain,
( spl0_189
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f9359,plain,
( e2 != op(e2,e3)
| ~ spl0_59 ),
inference(backward_demodulation,[],[f389,f819]) ).
fof(f9351,plain,
( ~ spl0_156
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f9350,f1068,f1255]) ).
fof(f9350,plain,
( e2 != op(e4,e1)
| ~ spl0_117 ),
inference(forward_demodulation,[],[f323,f1070]) ).
fof(f323,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f9349,plain,
( ~ spl0_122
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9292,f1480,f1093]) ).
fof(f9292,plain,
( op(e0,e0) != e4
| ~ spl0_190 ),
inference(forward_demodulation,[],[f343,f1482]) ).
fof(f9327,plain,
( spl0_137
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f9324,f1412,f1163]) ).
fof(f9324,plain,
( e0 = op(e2,e0)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f402,f1414]) ).
fof(f9306,plain,
( ~ spl0_9
| spl0_91
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f9305]) ).
fof(f9305,plain,
( $false
| ~ spl0_9
| spl0_91
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f9304,f1191]) ).
fof(f9304,plain,
( e3 != op(e4,e4)
| ~ spl0_9
| spl0_91 ),
inference(forward_demodulation,[],[f957,f604]) ).
fof(f9221,plain,
( ~ spl0_151
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f9220,f843,f1228]) ).
fof(f9220,plain,
( e2 != op(e1,e4)
| ~ spl0_65 ),
inference(backward_demodulation,[],[f301,f845]) ).
fof(f9204,plain,
( ~ spl0_143
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f9203]) ).
fof(f9203,plain,
( $false
| ~ spl0_143
| ~ spl0_180 ),
inference(subsumption_resolution,[],[f9202,f478]) ).
fof(f478,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f9202,plain,
( e3 = e4
| ~ spl0_143
| ~ spl0_180 ),
inference(forward_demodulation,[],[f9192,f1191]) ).
fof(f9192,plain,
( e4 = op(e4,e4)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f404,f1406]) ).
fof(f9175,plain,
( ~ spl0_77
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9174,f1480,f895]) ).
fof(f9174,plain,
( e4 != op(e0,e4)
| ~ spl0_190 ),
inference(forward_demodulation,[],[f309,f1482]) ).
fof(f9173,plain,
( spl0_149
| ~ spl0_16
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f9172,f1145,f633,f1218]) ).
fof(f1145,plain,
( spl0_133
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f9172,plain,
( op(e0,e0) = e1
| ~ spl0_16
| ~ spl0_133 ),
inference(forward_demodulation,[],[f634,f1147]) ).
fof(f1147,plain,
( e0 = op(e2,e2)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f9161,plain,
( spl0_33
| ~ spl0_143
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f9160]) ).
fof(f9160,plain,
( $false
| spl0_33
| ~ spl0_143
| ~ spl0_171 ),
inference(subsumption_resolution,[],[f9158,f1191]) ).
fof(f9158,plain,
( e3 != op(e4,e4)
| spl0_33
| ~ spl0_171 ),
inference(backward_demodulation,[],[f708,f1339]) ).
fof(f708,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| spl0_33 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl0_33
<=> e3 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f9147,plain,
( ~ spl0_36
| spl0_1
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f9140,f1145,f569,f718]) ).
fof(f718,plain,
( spl0_36
<=> e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f569,plain,
( spl0_1
<=> e1 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f9140,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl0_1
| ~ spl0_133 ),
inference(backward_demodulation,[],[f571,f1147]) ).
fof(f571,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| spl0_1 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f9146,plain,
( ~ spl0_171
| spl0_15
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f9141,f1145,f629,f1338]) ).
fof(f629,plain,
( spl0_15
<=> e4 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f9141,plain,
( e4 != op(op(e0,e0),op(e0,e0))
| spl0_15
| ~ spl0_133 ),
inference(backward_demodulation,[],[f631,f1147]) ).
fof(f631,plain,
( e4 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| spl0_15 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f9114,plain,
( ~ spl0_122
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f9113,f1333,f1093]) ).
fof(f9113,plain,
( op(e0,e0) != e4
| ~ spl0_170 ),
inference(forward_demodulation,[],[f316,f1335]) ).
fof(f316,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f9085,plain,
( ~ spl0_119
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f9003,f603,f1076]) ).
fof(f9003,plain,
( e4 != op(e0,e1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f304,f604]) ).
fof(f304,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f9042,plain,
( spl0_92
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9041,f1420,f960]) ).
fof(f960,plain,
( spl0_92
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1420,plain,
( spl0_184
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f9041,plain,
( e0 = op(e0,e0)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f402,f1422]) ).
fof(f1422,plain,
( e0 = unit
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f8999,plain,
( ~ spl0_105
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f8997,f1255,f1016]) ).
fof(f8997,plain,
( e2 != op(e2,e1)
| ~ spl0_156 ),
inference(backward_demodulation,[],[f366,f1257]) ).
fof(f1257,plain,
( e2 = op(e4,e1)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f8988,plain,
( ~ spl0_9
| ~ spl0_19
| spl0_90
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f8987]) ).
fof(f8987,plain,
( $false
| ~ spl0_9
| ~ spl0_19
| spl0_90
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f8986,f648]) ).
fof(f648,plain,
( e0 = op(e1,e3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f8986,plain,
( e0 != op(e1,e3)
| ~ spl0_9
| spl0_90
| ~ spl0_143 ),
inference(forward_demodulation,[],[f8985,f1191]) ).
fof(f8985,plain,
( e0 != op(e1,op(e4,e4))
| ~ spl0_9
| spl0_90 ),
inference(forward_demodulation,[],[f953,f604]) ).
fof(f953,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| spl0_90 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl0_90
<=> e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f8969,plain,
( ~ spl0_139
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f8964,f1292,f1173]) ).
fof(f8964,plain,
( e2 != op(e1,e2)
| ~ spl0_164 ),
inference(backward_demodulation,[],[f311,f1294]) ).
fof(f1294,plain,
( e2 = op(e0,e2)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f8947,plain,
( ~ spl0_105
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f8946,f1459,f1016]) ).
fof(f8946,plain,
( e2 != op(e2,e1)
| ~ spl0_187 ),
inference(forward_demodulation,[],[f317,f1461]) ).
fof(f1461,plain,
( e2 = op(e2,e0)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f317,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f8915,plain,
( ~ spl0_87
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f8914,f603,f938]) ).
fof(f938,plain,
( spl0_87
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f8914,plain,
( e4 != op(e4,e1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f383,f604]) ).
fof(f8895,plain,
( spl0_118
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f8894,f1420,f1072]) ).
fof(f1072,plain,
( spl0_118
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f8894,plain,
( e1 = op(e0,e1)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f405,f1422]) ).
fof(f8878,plain,
( spl0_164
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f8877,f1420,f1292]) ).
fof(f8877,plain,
( e2 = op(e0,e2)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f398,f1422]) ).
fof(f8853,plain,
( ~ spl0_104
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f8852,f603,f1012]) ).
fof(f8852,plain,
( e4 != op(e2,e1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f390,f604]) ).
fof(f390,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f8845,plain,
( ~ spl0_82
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f8844,f1447,f916]) ).
fof(f8844,plain,
( e4 != op(e3,e3)
| ~ spl0_186 ),
inference(forward_demodulation,[],[f378,f1449]) ).
fof(f1449,plain,
( e4 = op(e2,e3)
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f8841,plain,
( spl0_187
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f8840,f1420,f1459]) ).
fof(f8840,plain,
( e2 = op(e2,e0)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f400,f1422]) ).
fof(f8835,plain,
( spl0_77
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f8833,f1420,f895]) ).
fof(f8833,plain,
( e4 = op(e0,e4)
| ~ spl0_184 ),
inference(backward_demodulation,[],[f404,f1422]) ).
fof(f8771,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_33
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f8770]) ).
fof(f8770,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| spl0_33
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f8769,f578]) ).
fof(f8769,plain,
( e3 != op(e2,e2)
| ~ spl0_8
| spl0_33
| ~ spl0_122 ),
inference(forward_demodulation,[],[f8768,f599]) ).
fof(f599,plain,
( e2 = op(e4,e4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f8768,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| spl0_33
| ~ spl0_122 ),
inference(forward_demodulation,[],[f708,f1094]) ).
fof(f1094,plain,
( op(e0,e0) = e4
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f8702,plain,
( ~ spl0_103
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f8701,f1155,f1008]) ).
fof(f1008,plain,
( spl0_103
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f8701,plain,
( e0 != op(e2,e1)
| ~ spl0_135 ),
inference(forward_demodulation,[],[f300,f1157]) ).
fof(f8700,plain,
( ~ spl0_111
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f8699,f1299,f1041]) ).
fof(f8699,plain,
( e3 != op(e3,e0)
| ~ spl0_165 ),
inference(forward_demodulation,[],[f341,f1301]) ).
fof(f1301,plain,
( e3 = op(e4,e0)
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f341,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f8697,plain,
( ~ spl0_86
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f8696]) ).
fof(f8696,plain,
( $false
| ~ spl0_86
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f8172,f940]) ).
fof(f940,plain,
( e4 = op(e4,e1)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f8172,plain,
( e4 != op(e4,e1)
| ~ spl0_86 ),
inference(forward_demodulation,[],[f335,f936]) ).
fof(f335,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f8664,plain,
( spl0_154
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8663,f1408,f1243]) ).
fof(f1408,plain,
( spl0_181
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f8663,plain,
( e1 = op(e1,e1)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f397,f1410]) ).
fof(f1410,plain,
( e1 = unit
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f8660,plain,
( spl0_22
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8659,f1408,f658]) ).
fof(f8659,plain,
( e3 = op(e1,e3)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f396,f1410]) ).
fof(f8638,plain,
( ~ spl0_52
| spl0_36
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f8637,f1093,f718,f787]) ).
fof(f8637,plain,
( e1 != op(e4,e4)
| spl0_36
| ~ spl0_122 ),
inference(forward_demodulation,[],[f720,f1094]) ).
fof(f720,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| spl0_36 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f8634,plain,
( spl0_173
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8633,f1408,f1355]) ).
fof(f8633,plain,
( e3 = op(e3,e1)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f401,f1410]) ).
fof(f8632,plain,
( spl0_105
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8631,f1408,f1016]) ).
fof(f8631,plain,
( e2 = op(e2,e1)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f400,f1410]) ).
fof(f8630,plain,
( spl0_139
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8629,f1408,f1173]) ).
fof(f8629,plain,
( e2 = op(e1,e2)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f398,f1410]) ).
fof(f8600,plain,
( ~ spl0_85
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f8599,f938,f930]) ).
fof(f8599,plain,
( e4 != op(e4,e2)
| ~ spl0_87 ),
inference(forward_demodulation,[],[f369,f940]) ).
fof(f8547,plain,
( spl0_79
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8541,f1408,f903]) ).
fof(f8541,plain,
( e4 = op(e1,e4)
| ~ spl0_181 ),
inference(backward_demodulation,[],[f404,f1410]) ).
fof(f8546,plain,
( spl0_67
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8543,f1408,f851]) ).
fof(f851,plain,
( spl0_67
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f8543,plain,
( e0 = op(e1,e0)
| ~ spl0_181 ),
inference(backward_demodulation,[],[f402,f1410]) ).
fof(f8528,plain,
( ~ spl0_68
| ~ spl0_8
| ~ spl0_122
| spl0_160 ),
inference(avatar_split_clause,[],[f8527,f1272,f1093,f598,f856]) ).
fof(f8527,plain,
( e1 != op(e2,e2)
| ~ spl0_8
| ~ spl0_122
| spl0_160 ),
inference(forward_demodulation,[],[f8526,f599]) ).
fof(f8526,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| ~ spl0_122
| spl0_160 ),
inference(forward_demodulation,[],[f1274,f1094]) ).
fof(f8517,plain,
( ~ spl0_169
| ~ spl0_8
| ~ spl0_122
| spl0_124 ),
inference(avatar_split_clause,[],[f8516,f1101,f1093,f598,f1325]) ).
fof(f1101,plain,
( spl0_124
<=> e1 = op(e0,op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f8516,plain,
( e1 != op(e0,e2)
| ~ spl0_8
| ~ spl0_122
| spl0_124 ),
inference(forward_demodulation,[],[f8510,f599]) ).
fof(f8510,plain,
( e1 != op(e0,op(e4,e4))
| ~ spl0_122
| spl0_124 ),
inference(backward_demodulation,[],[f1103,f1094]) ).
fof(f1103,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| spl0_124 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f8490,plain,
( ~ spl0_144
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8489,f577,f1195]) ).
fof(f8489,plain,
( e3 != op(e4,e2)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f347,f578]) ).
fof(f8478,plain,
( ~ spl0_104
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f8477,f938,f1012]) ).
fof(f8477,plain,
( e4 != op(e2,e1)
| ~ spl0_87 ),
inference(forward_demodulation,[],[f366,f940]) ).
fof(f8443,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_13
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f8442]) ).
fof(f8442,plain,
( $false
| ~ spl0_9
| spl0_12
| ~ spl0_13
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f8441,f849]) ).
fof(f8441,plain,
( e3 != op(e1,e0)
| ~ spl0_9
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f8440,f621]) ).
fof(f621,plain,
( e0 = op(e4,e4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f8440,plain,
( e3 != op(e1,op(e4,e4))
| ~ spl0_9
| spl0_12 ),
inference(forward_demodulation,[],[f617,f604]) ).
fof(f8375,plain,
( ~ spl0_2
| spl0_32
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f8374]) ).
fof(f8374,plain,
( $false
| ~ spl0_2
| spl0_32
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f8373,f703]) ).
fof(f703,plain,
( e0 != op(e1,e1)
| spl0_32 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f8373,plain,
( e0 = op(e1,e1)
| ~ spl0_2
| ~ spl0_68 ),
inference(forward_demodulation,[],[f574,f857]) ).
fof(f574,plain,
( e0 = op(op(e2,e2),op(e2,e2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f8350,plain,
( ~ spl0_28
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f8347,f873,f684]) ).
fof(f8347,plain,
( e3 != op(e1,e1)
| ~ spl0_72 ),
inference(backward_demodulation,[],[f304,f875]) ).
fof(f8337,plain,
( ~ spl0_28
| spl0_33
| ~ spl0_35
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f8336,f856,f714,f706,f684]) ).
fof(f8336,plain,
( e3 != op(e1,e1)
| spl0_33
| ~ spl0_35
| ~ spl0_68 ),
inference(forward_demodulation,[],[f8335,f857]) ).
fof(f8335,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f708,f715]) ).
fof(f8331,plain,
( ~ spl0_128
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f8330,f1228,f1120]) ).
fof(f8330,plain,
( e2 != op(e0,e4)
| ~ spl0_151 ),
inference(forward_demodulation,[],[f330,f1230]) ).
fof(f1230,plain,
( e2 = op(e1,e4)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f330,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f8329,plain,
( ~ spl0_77
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f8328,f752,f895]) ).
fof(f8328,plain,
( e4 != op(e0,e4)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f326,f754]) ).
fof(f8300,plain,
( ~ spl0_188
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f8299,f1470,f1466]) ).
fof(f8299,plain,
( e2 != op(e2,e4)
| ~ spl0_189 ),
inference(forward_demodulation,[],[f352,f1472]) ).
fof(f1472,plain,
( e2 = op(e2,e3)
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f8272,plain,
( ~ spl0_45
| ~ spl0_71
| ~ spl0_149
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f8271]) ).
fof(f8271,plain,
( $false
| ~ spl0_45
| ~ spl0_71
| ~ spl0_149
| spl0_161 ),
inference(subsumption_resolution,[],[f8270,f871]) ).
fof(f871,plain,
( e3 = op(e0,e2)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f8270,plain,
( e3 != op(e0,e2)
| ~ spl0_45
| ~ spl0_149
| spl0_161 ),
inference(forward_demodulation,[],[f8269,f758]) ).
fof(f8269,plain,
( e3 != op(e0,op(e1,e1))
| ~ spl0_149
| spl0_161 ),
inference(forward_demodulation,[],[f1278,f1220]) ).
fof(f1278,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| spl0_161 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f8213,plain,
( ~ spl0_66
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f8212,f1236,f847]) ).
fof(f8212,plain,
( e3 != op(e1,e0)
| ~ spl0_153 ),
inference(forward_demodulation,[],[f301,f1238]) ).
fof(f1238,plain,
( e3 = op(e1,e4)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f8195,plain,
( ~ spl0_118
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f8194,f1218,f1072]) ).
fof(f8194,plain,
( e1 != op(e0,e1)
| ~ spl0_149 ),
inference(forward_demodulation,[],[f298,f1220]) ).
fof(f8171,plain,
( ~ spl0_45
| ~ spl0_149
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f8170]) ).
fof(f8170,plain,
( $false
| ~ spl0_45
| ~ spl0_149
| spl0_159 ),
inference(subsumption_resolution,[],[f8169,f758]) ).
fof(f8169,plain,
( e2 != op(e1,e1)
| ~ spl0_149
| spl0_159 ),
inference(forward_demodulation,[],[f1270,f1220]) ).
fof(f1270,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| spl0_159 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1268,plain,
( spl0_159
<=> e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f8087,plain,
( ~ spl0_118
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f8084,f1087,f1072]) ).
fof(f8084,plain,
( e1 != op(e0,e1)
| ~ spl0_121 ),
inference(backward_demodulation,[],[f321,f1089]) ).
fof(f1089,plain,
( e1 = op(e3,e1)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f321,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f8083,plain,
( ~ spl0_133
| spl0_27
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f8079,f757,f680,f1145]) ).
fof(f8079,plain,
( e0 != op(e2,e2)
| spl0_27
| ~ spl0_45 ),
inference(backward_demodulation,[],[f682,f758]) ).
fof(f8062,plain,
( ~ spl0_28
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8061,f1259,f684]) ).
fof(f8061,plain,
( e3 != op(e1,e1)
| ~ spl0_157 ),
inference(forward_demodulation,[],[f383,f1261]) ).
fof(f1261,plain,
( e3 = op(e4,e1)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f8041,plain,
( spl0_86
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8040,f1416,f934]) ).
fof(f8040,plain,
( e4 = op(e4,e3)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f403,f1418]) ).
fof(f8017,plain,
( ~ spl0_94
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f8016,f821,f968]) ).
fof(f968,plain,
( spl0_94
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f821,plain,
( spl0_60
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f8016,plain,
( e0 != op(e0,e1)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f303,f823]) ).
fof(f823,plain,
( e0 = op(e0,e3)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f8014,plain,
( ~ spl0_133
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f8013,f1008,f1145]) ).
fof(f8013,plain,
( e0 != op(e2,e2)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f353,f1010]) ).
fof(f1010,plain,
( e0 = op(e2,e1)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f8005,plain,
( spl0_189
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8004,f1416,f1470]) ).
fof(f8004,plain,
( e2 = op(e2,e3)
| ~ spl0_183 ),
inference(backward_demodulation,[],[f400,f1418]) ).
fof(f7966,plain,
( ~ spl0_3
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f7965,f869,f577]) ).
fof(f7965,plain,
( e3 != op(e2,e2)
| ~ spl0_71 ),
inference(forward_demodulation,[],[f315,f871]) ).
fof(f7955,plain,
( ~ spl0_37
| ~ spl0_122
| spl0_123
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f7954]) ).
fof(f7954,plain,
( $false
| ~ spl0_37
| ~ spl0_122
| spl0_123
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f7953,f724]) ).
fof(f7953,plain,
( e2 != op(e3,e3)
| ~ spl0_122
| spl0_123
| ~ spl0_143 ),
inference(forward_demodulation,[],[f7952,f1191]) ).
fof(f7952,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| ~ spl0_122
| spl0_123 ),
inference(forward_demodulation,[],[f1099,f1094]) ).
fof(f7828,plain,
( ~ spl0_152
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f7827,f744,f1232]) ).
fof(f1232,plain,
( spl0_152
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f744,plain,
( spl0_42
<=> e0 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f7827,plain,
( e0 != op(e1,e4)
| ~ spl0_42 ),
inference(forward_demodulation,[],[f370,f746]) ).
fof(f746,plain,
( e0 = op(e3,e4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f7826,plain,
( ~ spl0_111
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f7825,f1355,f1041]) ).
fof(f7825,plain,
( e3 != op(e3,e0)
| ~ spl0_173 ),
inference(forward_demodulation,[],[f367,f1357]) ).
fof(f1357,plain,
( e3 = op(e3,e1)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f367,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f7790,plain,
( ~ spl0_58
| ~ spl0_122
| spl0_124
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7789,f1190,f1101,f1093,f813]) ).
fof(f7789,plain,
( e1 != op(e0,e3)
| ~ spl0_122
| spl0_124
| ~ spl0_143 ),
inference(forward_demodulation,[],[f7788,f1191]) ).
fof(f7788,plain,
( e1 != op(e0,op(e4,e4))
| ~ spl0_122
| spl0_124 ),
inference(forward_demodulation,[],[f1103,f1094]) ).
fof(f7771,plain,
( ~ spl0_9
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f7770,f903,f603]) ).
fof(f7770,plain,
( e4 != op(e1,e1)
| ~ spl0_79 ),
inference(backward_demodulation,[],[f356,f905]) ).
fof(f905,plain,
( e4 = op(e1,e4)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f7701,plain,
( ~ spl0_46
| spl0_6
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7498,f1190,f590,f762]) ).
fof(f590,plain,
( spl0_6
<=> e1 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f7498,plain,
( e1 != op(op(e3,e3),op(e3,e3))
| spl0_6
| ~ spl0_143 ),
inference(forward_demodulation,[],[f592,f1191]) ).
fof(f592,plain,
( e1 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| spl0_6 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f7698,plain,
( ~ spl0_88
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f7697,f938,f942]) ).
fof(f7697,plain,
( e4 != op(e4,e0)
| ~ spl0_87 ),
inference(forward_demodulation,[],[f388,f940]) ).
fof(f7687,plain,
( spl0_94
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f7686,f1408,f968]) ).
fof(f7686,plain,
( e0 = op(e0,e1)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f406,f1410]) ).
fof(f7684,plain,
( ~ spl0_136
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f7683,f1145,f1159]) ).
fof(f7683,plain,
( e0 != op(e2,e3)
| ~ spl0_133 ),
inference(forward_demodulation,[],[f371,f1147]) ).
fof(f371,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f7677,plain,
( spl0_87
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f7676,f1408,f938]) ).
fof(f7676,plain,
( e4 = op(e4,e1)
| ~ spl0_181 ),
inference(forward_demodulation,[],[f403,f1410]) ).
fof(f7636,plain,
( ~ spl0_49
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f7635]) ).
fof(f7635,plain,
( $false
| ~ spl0_49
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f7634,f1074]) ).
fof(f1074,plain,
( e1 = op(e0,e1)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f7634,plain,
( e1 != op(e0,e1)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f323,f777]) ).
fof(f777,plain,
( e1 = op(e4,e1)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f7609,plain,
( spl0_1
| ~ spl0_81
| ~ spl0_99
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f7608]) ).
fof(f7608,plain,
( $false
| spl0_1
| ~ spl0_81
| ~ spl0_99
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f7607,f914]) ).
fof(f7607,plain,
( e1 != op(e3,e3)
| spl0_1
| ~ spl0_99
| ~ spl0_143 ),
inference(forward_demodulation,[],[f7606,f1191]) ).
fof(f7606,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| spl0_1
| ~ spl0_99 ),
inference(forward_demodulation,[],[f571,f991]) ).
fof(f7604,plain,
( ~ spl0_156
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f7603,f757,f1255]) ).
fof(f7603,plain,
( e2 != op(e4,e1)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f383,f758]) ).
fof(f7602,plain,
( ~ spl0_56
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f7601]) ).
fof(f7601,plain,
( $false
| ~ spl0_56
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f7599,f483]) ).
fof(f7599,plain,
( e0 = e4
| ~ spl0_56
| ~ spl0_166 ),
inference(backward_demodulation,[],[f1310,f806]) ).
fof(f806,plain,
( e0 = op(e3,e1)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl0_56
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f7594,plain,
( ~ spl0_156
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f7576,f995,f1255]) ).
fof(f995,plain,
( spl0_100
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f7576,plain,
( e2 != op(e4,e1)
| ~ spl0_100 ),
inference(forward_demodulation,[],[f335,f997]) ).
fof(f997,plain,
( e2 = op(e4,e3)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f7589,plain,
( spl0_31
| ~ spl0_45
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f7588]) ).
fof(f7588,plain,
( $false
| spl0_31
| ~ spl0_45
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f7587,f991]) ).
fof(f7587,plain,
( e4 != op(e2,e2)
| spl0_31
| ~ spl0_45 ),
inference(forward_demodulation,[],[f699,f758]) ).
fof(f699,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| spl0_31 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl0_31
<=> e4 = op(op(e1,e1),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f7554,plain,
( ~ spl0_3
| ~ spl0_45
| spl0_91 ),
inference(avatar_split_clause,[],[f7234,f955,f757,f577]) ).
fof(f7234,plain,
( e3 != op(e2,e2)
| ~ spl0_45
| spl0_91 ),
inference(backward_demodulation,[],[f957,f758]) ).
fof(f7539,plain,
( ~ spl0_81
| spl0_126
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f7538]) ).
fof(f7538,plain,
( $false
| ~ spl0_81
| spl0_126
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f7537,f914]) ).
fof(f7537,plain,
( e1 != op(e3,e3)
| spl0_126
| ~ spl0_143 ),
inference(forward_demodulation,[],[f1112,f1191]) ).
fof(f1112,plain,
( e1 != op(op(e4,e4),op(e4,e4))
| spl0_126 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl0_126
<=> e1 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f7507,plain,
( spl0_57
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f7506,f1420,f809]) ).
fof(f7506,plain,
( e3 = op(e0,e3)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f396,f1422]) ).
fof(f7496,plain,
( ~ spl0_58
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f7493,f1072,f813]) ).
fof(f7493,plain,
( e1 != op(e0,e3)
| ~ spl0_118 ),
inference(backward_demodulation,[],[f303,f1074]) ).
fof(f7470,plain,
( ~ spl0_104
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f7458,f990,f1012]) ).
fof(f7458,plain,
( e4 != op(e2,e1)
| ~ spl0_99 ),
inference(backward_demodulation,[],[f353,f991]) ).
fof(f7468,plain,
( spl0_17
| ~ spl0_99
| ~ spl0_136
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f7467]) ).
fof(f7467,plain,
( $false
| spl0_17
| ~ spl0_99
| ~ spl0_136
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f7466,f1161]) ).
fof(f1161,plain,
( e0 = op(e2,e3)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f7466,plain,
( e0 != op(e2,e3)
| spl0_17
| ~ spl0_99
| ~ spl0_143 ),
inference(forward_demodulation,[],[f7461,f1191]) ).
fof(f7461,plain,
( e0 != op(e2,op(e4,e4))
| spl0_17
| ~ spl0_99 ),
inference(backward_demodulation,[],[f639,f991]) ).
fof(f639,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| spl0_17 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl0_17
<=> e0 = op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f7465,plain,
( ~ spl0_99
| spl0_120
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f7464]) ).
fof(f7464,plain,
( $false
| ~ spl0_99
| spl0_120
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f7462,f1191]) ).
fof(f7462,plain,
( e3 != op(e4,e4)
| ~ spl0_99
| spl0_120 ),
inference(backward_demodulation,[],[f1083,f991]) ).
fof(f1083,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| spl0_120 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1081,plain,
( spl0_120
<=> e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f7448,plain,
( spl0_64
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f7447,f1420,f839]) ).
fof(f839,plain,
( spl0_64
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f7447,plain,
( e1 = op(e1,e0)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f397,f1422]) ).
fof(f7396,plain,
( ~ spl0_133
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f7392,f800,f1145]) ).
fof(f800,plain,
( spl0_55
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f7392,plain,
( e0 != op(e2,e2)
| ~ spl0_55 ),
inference(backward_demodulation,[],[f373,f802]) ).
fof(f802,plain,
( e0 = op(e3,e2)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f7380,plain,
( ~ spl0_113
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f7379,f1292,f1051]) ).
fof(f7379,plain,
( e2 != op(e3,e2)
| ~ spl0_164 ),
inference(forward_demodulation,[],[f350,f1294]) ).
fof(f7376,plain,
( ~ spl0_133
| ~ spl0_45
| ~ spl0_81
| spl0_84 ),
inference(avatar_split_clause,[],[f7375,f925,f912,f757,f1145]) ).
fof(f925,plain,
( spl0_84
<=> e0 = op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f7375,plain,
( e0 != op(e2,e2)
| ~ spl0_45
| ~ spl0_81
| spl0_84 ),
inference(forward_demodulation,[],[f7374,f758]) ).
fof(f7374,plain,
( e0 != op(op(e1,e1),op(e1,e1))
| ~ spl0_81
| spl0_84 ),
inference(forward_demodulation,[],[f927,f914]) ).
fof(f927,plain,
( e0 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| spl0_84 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f7361,plain,
( ~ spl0_58
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f7354,f912,f813]) ).
fof(f7354,plain,
( e1 != op(e0,e3)
| ~ spl0_81 ),
inference(backward_demodulation,[],[f364,f914]) ).
fof(f7346,plain,
( spl0_111
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f7345,f1420,f1041]) ).
fof(f7345,plain,
( e3 = op(e3,e0)
| ~ spl0_184 ),
inference(forward_demodulation,[],[f401,f1422]) ).
fof(f7329,plain,
( spl0_88
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f7325,f1420,f942]) ).
fof(f7325,plain,
( e4 = op(e4,e0)
| ~ spl0_184 ),
inference(backward_demodulation,[],[f403,f1422]) ).
fof(f7322,plain,
( ~ spl0_134
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f7321,f1459,f1149]) ).
fof(f7321,plain,
( e2 != op(e2,e2)
| ~ spl0_187 ),
inference(backward_demodulation,[],[f340,f1461]) ).
fof(f7311,plain,
( ~ spl0_185
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f7309,f995,f1429]) ).
fof(f7309,plain,
( e2 != op(e4,e0)
| ~ spl0_100 ),
inference(backward_demodulation,[],[f338,f997]) ).
fof(f338,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f7297,plain,
( ~ spl0_122
| ~ spl0_133
| spl0_147
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f7296]) ).
fof(f7296,plain,
( $false
| ~ spl0_122
| ~ spl0_133
| spl0_147
| ~ spl0_176 ),
inference(subsumption_resolution,[],[f7292,f1373]) ).
fof(f1373,plain,
( e3 = op(e2,e4)
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl0_176
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f7292,plain,
( e3 != op(e2,e4)
| ~ spl0_122
| ~ spl0_133
| spl0_147 ),
inference(backward_demodulation,[],[f7096,f1094]) ).
fof(f7096,plain,
( e3 != op(e2,op(e0,e0))
| ~ spl0_133
| spl0_147 ),
inference(backward_demodulation,[],[f1211,f1147]) ).
fof(f1211,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| spl0_147 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1209,plain,
( spl0_147
<=> e3 = op(e2,op(op(e2,e2),op(e2,e2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f7240,plain,
( ~ spl0_174
| ~ spl0_45
| ~ spl0_52
| spl0_97 ),
inference(avatar_split_clause,[],[f7238,f981,f787,f757,f1361]) ).
fof(f1361,plain,
( spl0_174
<=> e0 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f981,plain,
( spl0_97
<=> e0 = op(e4,op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f7238,plain,
( e0 != op(e4,e2)
| ~ spl0_45
| ~ spl0_52
| spl0_97 ),
inference(backward_demodulation,[],[f7159,f758]) ).
fof(f7159,plain,
( e0 != op(e4,op(e1,e1))
| ~ spl0_52
| spl0_97 ),
inference(forward_demodulation,[],[f983,f789]) ).
fof(f789,plain,
( e1 = op(e4,e4)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f983,plain,
( e0 != op(e4,op(op(e4,e4),op(e4,e4)))
| spl0_97 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f7123,plain,
( spl0_113
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f7122,f1416,f1051]) ).
fof(f7122,plain,
( e2 = op(e3,e2)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f398,f1418]) ).
fof(f7116,plain,
( spl0_44
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f7115,f1416,f752]) ).
fof(f7115,plain,
( e4 = op(e3,e4)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f404,f1418]) ).
fof(f7098,plain,
( ~ spl0_122
| ~ spl0_133
| spl0_146 ),
inference(avatar_split_clause,[],[f7095,f1205,f1145,f1093]) ).
fof(f1205,plain,
( spl0_146
<=> e4 = op(op(e2,e2),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f7095,plain,
( op(e0,e0) != e4
| ~ spl0_133
| spl0_146 ),
inference(backward_demodulation,[],[f1207,f1147]) ).
fof(f1207,plain,
( e4 != op(op(e2,e2),op(e2,e2))
| spl0_146 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f7075,plain,
( ~ spl0_106
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f7074,f1371,f1020]) ).
fof(f7074,plain,
( e3 != op(e2,e1)
| ~ spl0_176 ),
inference(forward_demodulation,[],[f300,f1373]) ).
fof(f7002,plain,
( ~ spl0_53
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f7001,f787,f791]) ).
fof(f791,plain,
( spl0_53
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f7001,plain,
( e1 != op(e4,e2)
| ~ spl0_52 ),
inference(forward_demodulation,[],[f382,f789]) ).
fof(f6997,plain,
( ~ spl0_70
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f6996,f809,f865]) ).
fof(f6996,plain,
( e3 != op(e0,e4)
| ~ spl0_57 ),
inference(forward_demodulation,[],[f365,f811]) ).
fof(f811,plain,
( e3 = op(e0,e3)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f6994,plain,
( spl0_17
| ~ spl0_52
| ~ spl0_99
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f6993]) ).
fof(f6993,plain,
( $false
| spl0_17
| ~ spl0_52
| ~ spl0_99
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f6992,f1010]) ).
fof(f6992,plain,
( e0 != op(e2,e1)
| spl0_17
| ~ spl0_52
| ~ spl0_99 ),
inference(forward_demodulation,[],[f6991,f789]) ).
fof(f6991,plain,
( e0 != op(e2,op(e4,e4))
| spl0_17
| ~ spl0_99 ),
inference(forward_demodulation,[],[f639,f991]) ).
fof(f6900,plain,
( ~ spl0_37
| spl0_11
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f6897,f684,f611,f723]) ).
fof(f6897,plain,
( e2 != op(e3,e3)
| spl0_11
| ~ spl0_28 ),
inference(backward_demodulation,[],[f613,f685]) ).
fof(f6895,plain,
( ~ spl0_136
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f6894,f1008,f1159]) ).
fof(f6894,plain,
( e0 != op(e2,e3)
| ~ spl0_103 ),
inference(forward_demodulation,[],[f328,f1010]) ).
fof(f6868,plain,
( ~ spl0_100
| ~ spl0_75
| spl0_131 ),
inference(avatar_split_clause,[],[f6171,f1135,f886,f995]) ).
fof(f886,plain,
( spl0_75
<=> e3 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f6171,plain,
( e2 != op(e4,e3)
| ~ spl0_75
| spl0_131 ),
inference(backward_demodulation,[],[f1137,f887]) ).
fof(f887,plain,
( e3 = op(op(e4,e4),op(e4,e4))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f6865,plain,
( ~ spl0_93
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6864,f960,f964]) ).
fof(f6864,plain,
( e0 != op(e0,e4)
| ~ spl0_92 ),
inference(forward_demodulation,[],[f345,f962]) ).
fof(f962,plain,
( e0 = op(e0,e0)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f6863,plain,
( ~ spl0_186
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f6862,f654,f1447]) ).
fof(f654,plain,
( spl0_21
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f6862,plain,
( e4 != op(e2,e3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f380,f656]) ).
fof(f656,plain,
( e4 = op(e1,e3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f6789,plain,
( spl0_25
| ~ spl0_45
| ~ spl0_81
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f6788]) ).
fof(f6788,plain,
( $false
| spl0_25
| ~ spl0_45
| ~ spl0_81
| ~ spl0_114 ),
inference(subsumption_resolution,[],[f6787,f1057]) ).
fof(f6787,plain,
( e4 != op(e3,e2)
| spl0_25
| ~ spl0_45
| ~ spl0_81 ),
inference(forward_demodulation,[],[f6779,f758]) ).
fof(f6779,plain,
( e4 != op(e3,op(e1,e1))
| spl0_25
| ~ spl0_81 ),
inference(backward_demodulation,[],[f673,f914]) ).
fof(f673,plain,
( e4 != op(e3,op(op(e3,e3),op(e3,e3)))
| spl0_25 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl0_25
<=> e4 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f6772,plain,
( ~ spl0_164
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f6771]) ).
fof(f6771,plain,
( $false
| ~ spl0_164
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f6770,f481]) ).
fof(f6770,plain,
( e2 = e4
| ~ spl0_164
| ~ spl0_190 ),
inference(backward_demodulation,[],[f1482,f1294]) ).
fof(f6756,plain,
( ~ spl0_11
| ~ spl0_45
| spl0_134 ),
inference(avatar_contradiction_clause,[],[f6755]) ).
fof(f6755,plain,
( $false
| ~ spl0_11
| ~ spl0_45
| spl0_134 ),
inference(subsumption_resolution,[],[f6754,f1150]) ).
fof(f1150,plain,
( e2 != op(e2,e2)
| spl0_134 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f6754,plain,
( e2 = op(e2,e2)
| ~ spl0_11
| ~ spl0_45 ),
inference(forward_demodulation,[],[f612,f758]) ).
fof(f612,plain,
( e2 = op(op(e1,e1),op(e1,e1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f6715,plain,
( ~ spl0_81
| spl0_6
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f6713,f886,f590,f912]) ).
fof(f6713,plain,
( e1 != op(e3,e3)
| spl0_6
| ~ spl0_75 ),
inference(backward_demodulation,[],[f592,f887]) ).
fof(f6663,plain,
( spl0_3
| ~ spl0_45
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f6661,f955,f757,f577]) ).
fof(f6661,plain,
( e3 = op(e2,e2)
| ~ spl0_45
| ~ spl0_91 ),
inference(backward_demodulation,[],[f956,f758]) ).
fof(f6626,plain,
( ~ spl0_55
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f6625,f804,f800]) ).
fof(f6625,plain,
( e0 != op(e3,e2)
| ~ spl0_56 ),
inference(forward_demodulation,[],[f312,f806]) ).
fof(f312,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f6614,plain,
( ~ spl0_37
| spl0_29
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f6613,f955,f688,f723]) ).
fof(f688,plain,
( spl0_29
<=> e2 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f6613,plain,
( e2 != op(e3,e3)
| spl0_29
| ~ spl0_91 ),
inference(backward_demodulation,[],[f690,f956]) ).
fof(f690,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| spl0_29 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f6591,plain,
( ~ spl0_61
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f6590,f1480,f825]) ).
fof(f6590,plain,
( e4 != op(e0,e3)
| ~ spl0_190 ),
inference(forward_demodulation,[],[f375,f1482]) ).
fof(f6556,plain,
( ~ spl0_57
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f6369,f658,f809]) ).
fof(f6369,plain,
( e3 != op(e0,e3)
| ~ spl0_22 ),
inference(forward_demodulation,[],[f336,f660]) ).
fof(f660,plain,
( e3 = op(e1,e3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f336,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6549,plain,
( ~ spl0_37
| spl0_39
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f6548]) ).
fof(f6548,plain,
( $false
| ~ spl0_37
| spl0_39
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f6533,f991]) ).
fof(f6533,plain,
( e4 != op(e2,e2)
| ~ spl0_37
| spl0_39 ),
inference(backward_demodulation,[],[f733,f724]) ).
fof(f6542,plain,
( spl0_34
| ~ spl0_37
| ~ spl0_73
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f6541]) ).
fof(f6541,plain,
( $false
| spl0_34
| ~ spl0_37
| ~ spl0_73
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f6539,f1482]) ).
fof(f6539,plain,
( e4 != op(e0,e2)
| spl0_34
| ~ spl0_37
| ~ spl0_73 ),
inference(backward_demodulation,[],[f6509,f724]) ).
fof(f6509,plain,
( e4 != op(e0,op(e3,e3))
| spl0_34
| ~ spl0_73 ),
inference(backward_demodulation,[],[f712,f879]) ).
fof(f6514,plain,
( ~ spl0_13
| ~ spl0_51
| ~ spl0_73
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f6513]) ).
fof(f6513,plain,
( $false
| ~ spl0_13
| ~ spl0_51
| ~ spl0_73
| spl0_76 ),
inference(subsumption_resolution,[],[f6512,f785]) ).
fof(f785,plain,
( e1 = op(e4,e3)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f783,plain,
( spl0_51
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f6512,plain,
( e1 != op(e4,e3)
| ~ spl0_13
| ~ spl0_73
| spl0_76 ),
inference(backward_demodulation,[],[f6491,f879]) ).
fof(f6491,plain,
( e1 != op(e4,op(e0,e0))
| ~ spl0_13
| spl0_76 ),
inference(forward_demodulation,[],[f892,f621]) ).
fof(f6455,plain,
( ~ spl0_99
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f6454,f1480,f990]) ).
fof(f6454,plain,
( e4 != op(e2,e2)
| ~ spl0_190 ),
inference(forward_demodulation,[],[f315,f1482]) ).
fof(f6425,plain,
( ~ spl0_35
| spl0_36
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f6424]) ).
fof(f6424,plain,
( $false
| ~ spl0_35
| spl0_36
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f6124,f857]) ).
fof(f6124,plain,
( e1 != op(e2,e2)
| ~ spl0_35
| spl0_36 ),
inference(backward_demodulation,[],[f720,f715]) ).
fof(f6316,plain,
( ~ spl0_13
| ~ spl0_82
| ~ spl0_108
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f6315]) ).
fof(f6315,plain,
( $false
| ~ spl0_13
| ~ spl0_82
| ~ spl0_108
| spl0_155 ),
inference(subsumption_resolution,[],[f6314,f1031]) ).
fof(f1031,plain,
( e1 = op(e3,e0)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl0_108
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f6314,plain,
( e1 != op(e3,e0)
| ~ spl0_13
| ~ spl0_82
| spl0_155 ),
inference(forward_demodulation,[],[f6313,f621]) ).
fof(f6313,plain,
( e1 != op(e3,op(e4,e4))
| ~ spl0_82
| spl0_155 ),
inference(forward_demodulation,[],[f1252,f918]) ).
fof(f918,plain,
( e4 = op(e3,e3)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1252,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| spl0_155 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1250,plain,
( spl0_155
<=> e1 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f6259,plain,
( ~ spl0_35
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f6258]) ).
fof(f6258,plain,
( $false
| ~ spl0_35
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f6257,f484]) ).
fof(f6257,plain,
( e2 = e3
| ~ spl0_35
| ~ spl0_73 ),
inference(forward_demodulation,[],[f879,f715]) ).
fof(f6253,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_82
| spl0_130 ),
inference(avatar_contradiction_clause,[],[f6252]) ).
fof(f6252,plain,
( $false
| ~ spl0_13
| ~ spl0_35
| ~ spl0_82
| spl0_130 ),
inference(subsumption_resolution,[],[f6251,f715]) ).
fof(f6251,plain,
( op(e0,e0) != e2
| ~ spl0_13
| ~ spl0_82
| spl0_130 ),
inference(forward_demodulation,[],[f6250,f621]) ).
fof(f6250,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| ~ spl0_82
| spl0_130 ),
inference(forward_demodulation,[],[f1132,f918]) ).
fof(f1132,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| spl0_130 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1130,plain,
( spl0_130
<=> e2 = op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f6243,plain,
( ~ spl0_13
| ~ spl0_82
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f6242]) ).
fof(f6242,plain,
( $false
| ~ spl0_13
| ~ spl0_82
| spl0_168 ),
inference(subsumption_resolution,[],[f6241,f621]) ).
fof(f6241,plain,
( e0 != op(e4,e4)
| ~ spl0_82
| spl0_168 ),
inference(forward_demodulation,[],[f1322,f918]) ).
fof(f1322,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_168 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl0_168
<=> e0 = op(op(e3,e3),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f6225,plain,
( ~ spl0_152
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f6215,f620,f1232]) ).
fof(f6215,plain,
( e0 != op(e1,e4)
| ~ spl0_13 ),
inference(backward_demodulation,[],[f293,f621]) ).
fof(f6173,plain,
( ~ spl0_6
| ~ spl0_75
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f6172]) ).
fof(f6172,plain,
( $false
| ~ spl0_6
| ~ spl0_75
| spl0_81 ),
inference(subsumption_resolution,[],[f6170,f913]) ).
fof(f913,plain,
( e1 != op(e3,e3)
| spl0_81 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f6170,plain,
( e1 = op(e3,e3)
| ~ spl0_6
| ~ spl0_75 ),
inference(backward_demodulation,[],[f591,f887]) ).
fof(f591,plain,
( e1 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f6160,plain,
( ~ spl0_127
| spl0_124
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f5852,f1338,f1101,f1116]) ).
fof(f1116,plain,
( spl0_127
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f5852,plain,
( e1 != op(e0,e4)
| spl0_124
| ~ spl0_171 ),
inference(backward_demodulation,[],[f1103,f1339]) ).
fof(f6156,plain,
( ~ spl0_3
| ~ spl0_35
| spl0_125 ),
inference(avatar_split_clause,[],[f6148,f1105,f714,f577]) ).
fof(f6148,plain,
( e3 != op(e2,e2)
| ~ spl0_35
| spl0_125 ),
inference(forward_demodulation,[],[f1107,f715]) ).
fof(f6122,plain,
( ~ spl0_52
| spl0_160
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f6121]) ).
fof(f6121,plain,
( $false
| ~ spl0_52
| spl0_160
| ~ spl0_171 ),
inference(subsumption_resolution,[],[f6120,f789]) ).
fof(f6120,plain,
( e1 != op(e4,e4)
| spl0_160
| ~ spl0_171 ),
inference(forward_demodulation,[],[f1274,f1339]) ).
fof(f6108,plain,
( ~ spl0_8
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f6107,f1466,f598]) ).
fof(f6107,plain,
( e2 != op(e4,e4)
| ~ spl0_188 ),
inference(forward_demodulation,[],[f329,f1468]) ).
fof(f329,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f6102,plain,
( ~ spl0_169
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f6101]) ).
fof(f6101,plain,
( $false
| ~ spl0_169
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f6100,f480]) ).
fof(f480,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f6100,plain,
( e1 = e4
| ~ spl0_169
| ~ spl0_190 ),
inference(backward_demodulation,[],[f1482,f1327]) ).
fof(f6060,plain,
( ~ spl0_80
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f6059,f752,f907]) ).
fof(f6059,plain,
( e4 != op(e4,e4)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f349,f754]) ).
fof(f349,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f5943,plain,
( ~ spl0_71
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f5942,f865,f869]) ).
fof(f5942,plain,
( e3 != op(e0,e2)
| ~ spl0_70 ),
inference(forward_demodulation,[],[f309,f867]) ).
fof(f5920,plain,
( ~ spl0_106
| ~ spl0_133
| spl0_147
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f5919]) ).
fof(f5919,plain,
( $false
| ~ spl0_106
| ~ spl0_133
| spl0_147
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f5918,f1022]) ).
fof(f1022,plain,
( e3 = op(e2,e1)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f5918,plain,
( e3 != op(e2,e1)
| ~ spl0_133
| spl0_147
| ~ spl0_149 ),
inference(backward_demodulation,[],[f5880,f1220]) ).
fof(f5880,plain,
( e3 != op(e2,op(e0,e0))
| ~ spl0_133
| spl0_147 ),
inference(forward_demodulation,[],[f1211,f1147]) ).
fof(f5904,plain,
( ~ spl0_149
| spl0_16
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f5903,f1145,f633,f1218]) ).
fof(f5903,plain,
( op(e0,e0) != e1
| spl0_16
| ~ spl0_133 ),
inference(forward_demodulation,[],[f635,f1147]) ).
fof(f5808,plain,
( ~ spl0_22
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f5803,f920,f658]) ).
fof(f5803,plain,
( e3 != op(e1,e3)
| ~ spl0_83 ),
inference(backward_demodulation,[],[f318,f922]) ).
fof(f922,plain,
( e3 = op(e3,e3)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f318,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f5743,plain,
( ~ spl0_158
| ~ spl0_8
| ~ spl0_68
| spl0_97 ),
inference(avatar_split_clause,[],[f5742,f981,f856,f598,f1263]) ).
fof(f5742,plain,
( e0 != op(e4,e1)
| ~ spl0_8
| ~ spl0_68
| spl0_97 ),
inference(forward_demodulation,[],[f5741,f857]) ).
fof(f5741,plain,
( e0 != op(e4,op(e2,e2))
| ~ spl0_8
| spl0_97 ),
inference(forward_demodulation,[],[f983,f599]) ).
fof(f5698,plain,
( ~ spl0_109
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f5697,f916,f1033]) ).
fof(f1033,plain,
( spl0_109
<=> e4 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f5697,plain,
( e4 != op(e3,e0)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f346,f918]) ).
fof(f5686,plain,
( ~ spl0_28
| spl0_31
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f5685]) ).
fof(f5685,plain,
( $false
| ~ spl0_28
| spl0_31
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f5556,f918]) ).
fof(f5556,plain,
( e4 != op(e3,e3)
| ~ spl0_28
| spl0_31 ),
inference(backward_demodulation,[],[f699,f685]) ).
fof(f5678,plain,
( ~ spl0_142
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f5677,f684,f1185]) ).
fof(f5677,plain,
( e3 != op(e1,e2)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f337,f685]) ).
fof(f5604,plain,
( ~ spl0_187
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f5603]) ).
fof(f5603,plain,
( $false
| ~ spl0_187
| ~ spl0_189 ),
inference(subsumption_resolution,[],[f5602,f1461]) ).
fof(f5602,plain,
( e2 != op(e2,e0)
| ~ spl0_189 ),
inference(forward_demodulation,[],[f327,f1472]) ).
fof(f327,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f5578,plain,
( ~ spl0_68
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f5577]) ).
fof(f5577,plain,
( $false
| ~ spl0_68
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f5576,f480]) ).
fof(f5576,plain,
( e1 = e4
| ~ spl0_68
| ~ spl0_99 ),
inference(forward_demodulation,[],[f991,f857]) ).
fof(f5575,plain,
( ~ spl0_40
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f5574,f1386,f736]) ).
fof(f736,plain,
( spl0_40
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f5574,plain,
( e1 != op(e3,e4)
| ~ spl0_178 ),
inference(forward_demodulation,[],[f314,f1388]) ).
fof(f1388,plain,
( e1 = op(e2,e4)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f5554,plain,
( spl0_154
| ~ spl0_16
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f5553,f856,f633,f1243]) ).
fof(f5553,plain,
( e1 = op(e1,e1)
| ~ spl0_16
| ~ spl0_68 ),
inference(forward_demodulation,[],[f634,f857]) ).
fof(f5541,plain,
( ~ spl0_68
| ~ spl0_8
| spl0_126 ),
inference(avatar_split_clause,[],[f5540,f1110,f598,f856]) ).
fof(f5540,plain,
( e1 != op(e2,e2)
| ~ spl0_8
| spl0_126 ),
inference(forward_demodulation,[],[f1112,f599]) ).
fof(f5537,plain,
( ~ spl0_79
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f5536,f895,f903]) ).
fof(f5536,plain,
( e4 != op(e1,e4)
| ~ spl0_77 ),
inference(forward_demodulation,[],[f330,f897]) ).
fof(f897,plain,
( e4 = op(e0,e4)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f5526,plain,
( ~ spl0_16
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5457,f598,f590,f633]) ).
fof(f5457,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f592,f599]) ).
fof(f5521,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f5520]) ).
fof(f5520,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f5519,f481]) ).
fof(f5519,plain,
( e2 = e4
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f656,f652]) ).
fof(f5518,plain,
( ~ spl0_40
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f5517,f912,f736]) ).
fof(f5517,plain,
( e1 != op(e3,e4)
| ~ spl0_81 ),
inference(forward_demodulation,[],[f348,f914]) ).
fof(f5513,plain,
( ~ spl0_152
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f5512,f1177,f1232]) ).
fof(f5512,plain,
( e0 != op(e1,e4)
| ~ spl0_140 ),
inference(forward_demodulation,[],[f368,f1179]) ).
fof(f5496,plain,
( ~ spl0_81
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f5495]) ).
fof(f5495,plain,
( $false
| ~ spl0_81
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f5494,f480]) ).
fof(f5494,plain,
( e1 = e4
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_demodulation,[],[f918,f914]) ).
fof(f5443,plain,
( ~ spl0_154
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5182,f1072,f1243]) ).
fof(f5182,plain,
( e1 != op(e1,e1)
| ~ spl0_118 ),
inference(forward_demodulation,[],[f304,f1074]) ).
fof(f5386,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_81
| spl0_130 ),
inference(avatar_contradiction_clause,[],[f5385]) ).
fof(f5385,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_81
| spl0_130 ),
inference(subsumption_resolution,[],[f5384,f599]) ).
fof(f5384,plain,
( e2 != op(e4,e4)
| ~ spl0_9
| ~ spl0_81
| spl0_130 ),
inference(forward_demodulation,[],[f5383,f604]) ).
fof(f5383,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| ~ spl0_81
| spl0_130 ),
inference(forward_demodulation,[],[f1132,f914]) ).
fof(f5357,plain,
( ~ spl0_3
| spl0_16
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f5356]) ).
fof(f5356,plain,
( $false
| ~ spl0_3
| spl0_16
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f5355,f914]) ).
fof(f5355,plain,
( e1 != op(e3,e3)
| ~ spl0_3
| spl0_16 ),
inference(forward_demodulation,[],[f635,f578]) ).
fof(f5349,plain,
( ~ spl0_9
| spl0_38
| ~ spl0_42
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f5348]) ).
fof(f5348,plain,
( $false
| ~ spl0_9
| spl0_38
| ~ spl0_42
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f5347,f746]) ).
fof(f5347,plain,
( e0 != op(e3,e4)
| ~ spl0_9
| spl0_38
| ~ spl0_81 ),
inference(forward_demodulation,[],[f5326,f604]) ).
fof(f5326,plain,
( e0 != op(e3,op(e1,e1))
| spl0_38
| ~ spl0_81 ),
inference(backward_demodulation,[],[f729,f914]) ).
fof(f729,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| spl0_38 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl0_38
<=> e0 = op(e3,op(op(e3,e3),op(e3,e3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f5286,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f5285]) ).
fof(f5285,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| spl0_75 ),
inference(subsumption_resolution,[],[f4910,f578]) ).
fof(f4910,plain,
( e3 != op(e2,e2)
| ~ spl0_8
| spl0_75 ),
inference(forward_demodulation,[],[f888,f599]) ).
fof(f888,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| spl0_75 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f5183,plain,
( ~ spl0_99
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f5146,f1447,f990]) ).
fof(f5146,plain,
( e4 != op(e2,e2)
| ~ spl0_186 ),
inference(forward_demodulation,[],[f371,f1449]) ).
fof(f5181,plain,
( ~ spl0_83
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f5180,f809,f920]) ).
fof(f5180,plain,
( e3 != op(e3,e3)
| ~ spl0_57 ),
inference(forward_demodulation,[],[f364,f811]) ).
fof(f5125,plain,
( ~ spl0_92
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f5124,f851,f960]) ).
fof(f5124,plain,
( e0 != op(e0,e0)
| ~ spl0_67 ),
inference(forward_demodulation,[],[f379,f853]) ).
fof(f853,plain,
( e0 = op(e1,e0)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f5104,plain,
( ~ spl0_156
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5103,f598,f1255]) ).
fof(f5103,plain,
( e2 != op(e4,e1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f354,f599]) ).
fof(f5102,plain,
( ~ spl0_54
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f5101]) ).
fof(f5101,plain,
( $false
| ~ spl0_54
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f5100,f853]) ).
fof(f5100,plain,
( e0 != op(e1,e0)
| ~ spl0_54 ),
inference(forward_demodulation,[],[f299,f798]) ).
fof(f798,plain,
( e0 = op(e3,e0)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl0_54
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f299,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f5061,plain,
( ~ spl0_73
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f5060,f1299,f877]) ).
fof(f5060,plain,
( op(e0,e0) != e3
| ~ spl0_165 ),
inference(forward_demodulation,[],[f324,f1301]) ).
fof(f5056,plain,
( ~ spl0_68
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f5055]) ).
fof(f5055,plain,
( $false
| ~ spl0_68
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f4719,f1183]) ).
fof(f4719,plain,
( e1 != op(e1,e2)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f374,f857]) ).
fof(f5054,plain,
( spl0_18
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f5053]) ).
fof(f5053,plain,
( $false
| spl0_18
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f5052,f643]) ).
fof(f643,plain,
( e1 != op(e1,e3)
| spl0_18 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f5052,plain,
( e1 = op(e1,e3)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f397,f1418]) ).
fof(f5021,plain,
( ~ spl0_8
| ~ spl0_122
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f5020]) ).
fof(f5020,plain,
( $false
| ~ spl0_8
| ~ spl0_122
| spl0_159 ),
inference(subsumption_resolution,[],[f5016,f599]) ).
fof(f5016,plain,
( e2 != op(e4,e4)
| ~ spl0_122
| spl0_159 ),
inference(backward_demodulation,[],[f1270,f1094]) ).
fof(f4994,plain,
( ~ spl0_83
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f4993]) ).
fof(f4993,plain,
( $false
| ~ spl0_83
| ~ spl0_115 ),
inference(subsumption_resolution,[],[f4992,f1061]) ).
fof(f4992,plain,
( e3 != op(e3,e2)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f331,f922]) ).
fof(f4973,plain,
( spl0_23
| ~ spl0_27
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f4555,f684,f680,f663]) ).
fof(f4555,plain,
( e0 = op(e3,e3)
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_demodulation,[],[f681,f685]) ).
fof(f681,plain,
( e0 = op(op(e1,e1),op(e1,e1))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f4972,plain,
( ~ spl0_68
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f4971]) ).
fof(f4971,plain,
( $false
| ~ spl0_68
| ~ spl0_133 ),
inference(subsumption_resolution,[],[f4970,f477]) ).
fof(f477,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f4970,plain,
( e0 = e1
| ~ spl0_68
| ~ spl0_133 ),
inference(backward_demodulation,[],[f857,f1147]) ).
fof(f4963,plain,
( spl0_60
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f4962]) ).
fof(f4962,plain,
( $false
| spl0_60
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f4961,f822]) ).
fof(f822,plain,
( e0 != op(e0,e3)
| spl0_60 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f4961,plain,
( e0 = op(e0,e3)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f406,f1418]) ).
fof(f4929,plain,
( ~ spl0_8
| ~ spl0_28
| ~ spl0_68
| spl0_132 ),
inference(avatar_contradiction_clause,[],[f4928]) ).
fof(f4928,plain,
( $false
| ~ spl0_8
| ~ spl0_28
| ~ spl0_68
| spl0_132 ),
inference(subsumption_resolution,[],[f4927,f685]) ).
fof(f4927,plain,
( e3 != op(e1,e1)
| ~ spl0_8
| ~ spl0_68
| spl0_132 ),
inference(forward_demodulation,[],[f4926,f857]) ).
fof(f4926,plain,
( e3 != op(op(e2,e2),op(e2,e2))
| ~ spl0_8
| spl0_132 ),
inference(forward_demodulation,[],[f1142,f599]) ).
fof(f1142,plain,
( e3 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| spl0_132 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl0_132
<=> e3 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f4877,plain,
( ~ spl0_92
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4876,f972,f960]) ).
fof(f4876,plain,
( e0 != op(e0,e0)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f343,f974]) ).
fof(f4783,plain,
( ~ spl0_71
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f4782]) ).
fof(f4782,plain,
( $false
| ~ spl0_71
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f4781,f484]) ).
fof(f4781,plain,
( e2 = e3
| ~ spl0_71
| ~ spl0_164 ),
inference(forward_demodulation,[],[f871,f1294]) ).
fof(f4773,plain,
( ~ spl0_9
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f4772]) ).
fof(f4772,plain,
( $false
| ~ spl0_9
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f4771,f478]) ).
fof(f4771,plain,
( e3 = e4
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[],[f604,f685]) ).
fof(f4739,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f4738]) ).
fof(f4738,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f4737,f482]) ).
fof(f4737,plain,
( e0 = e2
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f724,f664]) ).
fof(f4649,plain,
( spl0_92
| ~ spl0_10
| ~ spl0_23
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f4648,f684,f663,f607,f960]) ).
fof(f4648,plain,
( e0 = op(e0,e0)
| ~ spl0_10
| ~ spl0_23
| ~ spl0_28 ),
inference(forward_demodulation,[],[f4647,f664]) ).
fof(f4647,plain,
( e0 = op(op(e3,e3),op(e3,e3))
| ~ spl0_10
| ~ spl0_28 ),
inference(forward_demodulation,[],[f608,f685]) ).
fof(f608,plain,
( e0 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f4603,plain,
( ~ spl0_148
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f4602]) ).
fof(f4602,plain,
( $false
| ~ spl0_148
| ~ spl0_187 ),
inference(subsumption_resolution,[],[f4601,f486]) ).
fof(f486,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f4601,plain,
( e1 = e2
| ~ spl0_148
| ~ spl0_187 ),
inference(forward_demodulation,[],[f1461,f1216]) ).
fof(f1216,plain,
( e1 = op(e2,e0)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f4594,plain,
( ~ spl0_139
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4593,f843,f1173]) ).
fof(f4593,plain,
( e2 != op(e1,e2)
| ~ spl0_65 ),
inference(forward_demodulation,[],[f292,f845]) ).
fof(f4581,plain,
( ~ spl0_110
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4580,f843,f1037]) ).
fof(f4580,plain,
( e2 != op(e3,e0)
| ~ spl0_65 ),
inference(forward_demodulation,[],[f299,f845]) ).
fof(f4573,plain,
( ~ spl0_23
| ~ spl0_28
| ~ spl0_65
| spl0_162 ),
inference(avatar_contradiction_clause,[],[f4572]) ).
fof(f4572,plain,
( $false
| ~ spl0_23
| ~ spl0_28
| ~ spl0_65
| spl0_162 ),
inference(subsumption_resolution,[],[f4571,f845]) ).
fof(f4571,plain,
( e2 != op(e1,e0)
| ~ spl0_23
| ~ spl0_28
| spl0_162 ),
inference(forward_demodulation,[],[f4570,f664]) ).
fof(f4570,plain,
( e2 != op(e1,op(e3,e3))
| ~ spl0_28
| spl0_162 ),
inference(forward_demodulation,[],[f1283,f685]) ).
fof(f1283,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| spl0_162 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl0_162
<=> e2 = op(e1,op(op(e1,e1),op(e1,e1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f4569,plain,
( ~ spl0_137
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f4568]) ).
fof(f4568,plain,
( $false
| ~ spl0_137
| ~ spl0_177 ),
inference(subsumption_resolution,[],[f4567,f485]) ).
fof(f4567,plain,
( e0 = e3
| ~ spl0_137
| ~ spl0_177 ),
inference(forward_demodulation,[],[f1377,f1165]) ).
fof(f1165,plain,
( e0 = op(e2,e0)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f4529,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f4528]) ).
fof(f4528,plain,
( $false
| ~ spl0_58
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f4527,f486]) ).
fof(f4527,plain,
( e1 = e2
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_demodulation,[],[f819,f815]) ).
fof(f815,plain,
( e1 = op(e0,e3)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f4497,plain,
( ~ spl0_185
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4496,f843,f1429]) ).
fof(f4496,plain,
( e2 != op(e4,e0)
| ~ spl0_65 ),
inference(forward_demodulation,[],[f358,f845]) ).
fof(f4444,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f4443]) ).
fof(f4443,plain,
( $false
| ~ spl0_19
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f4048,f648]) ).
fof(f4048,plain,
( e0 != op(e1,e3)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f318,f664]) ).
fof(f4429,plain,
( ~ spl0_72
| ~ spl0_117 ),
inference(avatar_contradiction_clause,[],[f4428]) ).
fof(f4428,plain,
( $false
| ~ spl0_72
| ~ spl0_117 ),
inference(subsumption_resolution,[],[f4427,f484]) ).
fof(f4427,plain,
( e2 = e3
| ~ spl0_72
| ~ spl0_117 ),
inference(forward_demodulation,[],[f875,f1070]) ).
fof(f4402,plain,
( ~ spl0_23
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f4401]) ).
fof(f4401,plain,
( $false
| ~ spl0_23
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f4400,f485]) ).
fof(f4400,plain,
( e0 = e3
| ~ spl0_23
| ~ spl0_83 ),
inference(forward_demodulation,[],[f922,f664]) ).
fof(f4399,plain,
( ~ spl0_150
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f4387,f787,f1224]) ).
fof(f4387,plain,
( e1 != op(e1,e4)
| ~ spl0_52 ),
inference(forward_demodulation,[],[f293,f789]) ).
fof(f4288,plain,
( ~ spl0_23
| ~ spl0_28
| spl0_89
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f4287]) ).
fof(f4287,plain,
( $false
| ~ spl0_23
| ~ spl0_28
| spl0_89
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f4225,f1094]) ).
fof(f4225,plain,
( op(e0,e0) != e4
| ~ spl0_23
| ~ spl0_28
| spl0_89 ),
inference(forward_demodulation,[],[f4213,f664]) ).
fof(f4213,plain,
( e4 != op(op(e3,e3),op(e3,e3))
| ~ spl0_28
| spl0_89 ),
inference(backward_demodulation,[],[f949,f685]) ).
fof(f4286,plain,
( ~ spl0_119
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f4285,f1093,f1076]) ).
fof(f4285,plain,
( e4 != op(e0,e1)
| ~ spl0_122 ),
inference(forward_demodulation,[],[f298,f1094]) ).
fof(f4245,plain,
( ~ spl0_107
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
fof(f4244,plain,
( $false
| ~ spl0_107
| ~ spl0_178 ),
inference(subsumption_resolution,[],[f3721,f1388]) ).
fof(f3721,plain,
( e1 != op(e2,e4)
| ~ spl0_107 ),
inference(forward_demodulation,[],[f300,f1026]) ).
fof(f4234,plain,
( ~ spl0_63
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f3852,f1033,f835]) ).
fof(f3852,plain,
( e4 != op(e1,e0)
| ~ spl0_109 ),
inference(forward_demodulation,[],[f299,f1035]) ).
fof(f1035,plain,
( e4 = op(e3,e0)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f4224,plain,
( ~ spl0_23
| spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4223,plain,
( $false
| ~ spl0_23
| spl0_27
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f4211,f664]) ).
fof(f4211,plain,
( e0 != op(e3,e3)
| spl0_27
| ~ spl0_28 ),
inference(backward_demodulation,[],[f682,f685]) ).
fof(f4175,plain,
( ~ spl0_165
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f4174]) ).
fof(f4174,plain,
( $false
| ~ spl0_165
| ~ spl0_185 ),
inference(subsumption_resolution,[],[f4173,f484]) ).
fof(f4173,plain,
( e2 = e3
| ~ spl0_165
| ~ spl0_185 ),
inference(backward_demodulation,[],[f1301,f1431]) ).
fof(f4145,plain,
( ~ spl0_31
| ~ spl0_149
| spl0_167 ),
inference(avatar_split_clause,[],[f4141,f1315,f1218,f697]) ).
fof(f1315,plain,
( spl0_167
<=> e4 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f4141,plain,
( e4 != op(op(e1,e1),op(e1,e1))
| ~ spl0_149
| spl0_167 ),
inference(backward_demodulation,[],[f1317,f1220]) ).
fof(f1317,plain,
( e4 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| spl0_167 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f4126,plain,
( ~ spl0_149
| ~ spl0_23
| spl0_46 ),
inference(avatar_split_clause,[],[f3993,f762,f663,f1218]) ).
fof(f3993,plain,
( op(e0,e0) != e1
| ~ spl0_23
| spl0_46 ),
inference(forward_demodulation,[],[f764,f664]) ).
fof(f4091,plain,
( ~ spl0_70
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f4090]) ).
fof(f4090,plain,
( $false
| ~ spl0_70
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f4089,f484]) ).
fof(f4089,plain,
( e2 = e3
| ~ spl0_70
| ~ spl0_128 ),
inference(forward_demodulation,[],[f867,f1122]) ).
fof(f4051,plain,
( ~ spl0_64
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f4050,f1181,f839]) ).
fof(f4050,plain,
( e1 != op(e1,e0)
| ~ spl0_141 ),
inference(forward_demodulation,[],[f292,f1183]) ).
fof(f4037,plain,
( spl0_115
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f3799,f1412,f1059]) ).
fof(f3799,plain,
( e3 = op(e3,e2)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f401,f1414]) ).
fof(f4033,plain,
( ~ spl0_152
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f4032]) ).
fof(f4032,plain,
( $false
| ~ spl0_152
| ~ spl0_153 ),
inference(subsumption_resolution,[],[f4029,f485]) ).
fof(f4029,plain,
( e0 = e3
| ~ spl0_152
| ~ spl0_153 ),
inference(backward_demodulation,[],[f1238,f1234]) ).
fof(f1234,plain,
( e0 = op(e1,e4)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f3998,plain,
( ~ spl0_28
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f3997,f1236,f684]) ).
fof(f3997,plain,
( e3 != op(e1,e1)
| ~ spl0_153 ),
inference(forward_demodulation,[],[f356,f1238]) ).
fof(f3932,plain,
( ~ spl0_45
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3931,f1287,f757]) ).
fof(f3931,plain,
( e2 != op(e1,e1)
| ~ spl0_163 ),
inference(forward_demodulation,[],[f391,f1289]) ).
fof(f3927,plain,
( ~ spl0_107
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f3926]) ).
fof(f3926,plain,
( $false
| ~ spl0_107
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f3925,f1074]) ).
fof(f3925,plain,
( e1 != op(e0,e1)
| ~ spl0_107 ),
inference(forward_demodulation,[],[f319,f1026]) ).
fof(f319,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3900,plain,
( spl0_14
| ~ spl0_45
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f3899]) ).
fof(f3899,plain,
( $false
| spl0_14
| ~ spl0_45
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f3898,f758]) ).
fof(f3898,plain,
( e2 != op(e1,e1)
| spl0_14
| ~ spl0_52 ),
inference(forward_demodulation,[],[f626,f789]) ).
fof(f626,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| spl0_14 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f624,plain,
( spl0_14
<=> e2 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f3882,plain,
( ~ spl0_58
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f3881,f642,f813]) ).
fof(f3881,plain,
( e1 != op(e0,e3)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f336,f644]) ).
fof(f644,plain,
( e1 = op(e1,e3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f3875,plain,
( ~ spl0_106
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f3874]) ).
fof(f3874,plain,
( $false
| ~ spl0_106
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f3873,f479]) ).
fof(f479,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3873,plain,
( e1 = e3
| ~ spl0_106
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1022,f1026]) ).
fof(f3858,plain,
( ~ spl0_23
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f3857]) ).
fof(f3857,plain,
( $false
| ~ spl0_23
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f3856,f483]) ).
fof(f3856,plain,
( e0 = e4
| ~ spl0_23
| ~ spl0_82 ),
inference(backward_demodulation,[],[f918,f664]) ).
fof(f3847,plain,
( ~ spl0_134
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f3846]) ).
fof(f3846,plain,
( $false
| ~ spl0_134
| ~ spl0_189 ),
inference(subsumption_resolution,[],[f3845,f1151]) ).
fof(f1151,plain,
( e2 = op(e2,e2)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f3845,plain,
( e2 != op(e2,e2)
| ~ spl0_189 ),
inference(forward_demodulation,[],[f371,f1472]) ).
fof(f3811,plain,
( ~ spl0_182
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f3810]) ).
fof(f3810,plain,
( $false
| ~ spl0_182
| ~ spl0_189 ),
inference(subsumption_resolution,[],[f3809,f484]) ).
fof(f3809,plain,
( e2 = e3
| ~ spl0_182
| ~ spl0_189 ),
inference(forward_demodulation,[],[f3796,f1472]) ).
fof(f3796,plain,
( e3 = op(e2,e3)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f396,f1414]) ).
fof(f3808,plain,
( spl0_78
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f3801,f1412,f899]) ).
fof(f3801,plain,
( e4 = op(e2,e4)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f404,f1414]) ).
fof(f3807,plain,
( ~ spl0_140
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f3806]) ).
fof(f3806,plain,
( $false
| ~ spl0_140
| ~ spl0_182 ),
inference(subsumption_resolution,[],[f3805,f477]) ).
fof(f3805,plain,
( e0 = e1
| ~ spl0_140
| ~ spl0_182 ),
inference(forward_demodulation,[],[f3797,f1179]) ).
fof(f3797,plain,
( e1 = op(e1,e2)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f397,f1414]) ).
fof(f3804,plain,
( spl0_134
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f3798,f1412,f1149]) ).
fof(f3798,plain,
( e2 = op(e2,e2)
| ~ spl0_182 ),
inference(backward_demodulation,[],[f400,f1414]) ).
fof(f3756,plain,
( ~ spl0_100
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f3754,f1470,f995]) ).
fof(f3754,plain,
( e2 != op(e4,e3)
| ~ spl0_189 ),
inference(backward_demodulation,[],[f334,f1472]) ).
fof(f3715,plain,
( ~ spl0_50
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f3714,f787,f779]) ).
fof(f3714,plain,
( e1 != op(e4,e0)
| ~ spl0_52 ),
inference(forward_demodulation,[],[f294,f789]) ).
fof(f3713,plain,
( ~ spl0_64
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f3712,f642,f839]) ).
fof(f3712,plain,
( e1 != op(e1,e0)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f344,f644]) ).
fof(f3711,plain,
( ~ spl0_86
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f3710,f930,f934]) ).
fof(f3710,plain,
( e4 != op(e4,e3)
| ~ spl0_85 ),
inference(forward_demodulation,[],[f362,f932]) ).
fof(f362,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3695,plain,
( ~ spl0_101
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3694,f1259,f999]) ).
fof(f3694,plain,
( e3 != op(e4,e3)
| ~ spl0_157 ),
inference(forward_demodulation,[],[f335,f1261]) ).
fof(f3683,plain,
( ~ spl0_100
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl0_100
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f3681,f481]) ).
fof(f3681,plain,
( e2 = e4
| ~ spl0_100
| ~ spl0_183 ),
inference(forward_demodulation,[],[f3680,f997]) ).
fof(f3680,plain,
( e4 = op(e4,e3)
| ~ spl0_183 ),
inference(forward_demodulation,[],[f403,f1418]) ).
fof(f3619,plain,
( ~ spl0_40
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3618,plain,
( $false
| ~ spl0_40
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f3617,f480]) ).
fof(f3617,plain,
( e1 = e4
| ~ spl0_40
| ~ spl0_183 ),
inference(forward_demodulation,[],[f3611,f738]) ).
fof(f738,plain,
( e1 = op(e3,e4)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f3611,plain,
( e4 = op(e3,e4)
| ~ spl0_183 ),
inference(backward_demodulation,[],[f404,f1418]) ).
fof(f3616,plain,
( spl0_54
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f3610,f1416,f796]) ).
fof(f3610,plain,
( e0 = op(e3,e0)
| ~ spl0_183 ),
inference(backward_demodulation,[],[f402,f1418]) ).
fof(f3581,plain,
( ~ spl0_149
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3069,f1325,f1218]) ).
fof(f3069,plain,
( op(e0,e0) != e1
| ~ spl0_169 ),
inference(forward_demodulation,[],[f343,f1327]) ).
fof(f3571,plain,
( ~ spl0_117
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f3570,f757,f1068]) ).
fof(f3570,plain,
( e2 != op(e0,e1)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f304,f758]) ).
fof(f3568,plain,
( ~ spl0_105
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f3535,f1149,f1016]) ).
fof(f3535,plain,
( e2 != op(e2,e1)
| ~ spl0_134 ),
inference(forward_demodulation,[],[f353,f1151]) ).
fof(f3531,plain,
( ~ spl0_88
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f3530]) ).
fof(f3530,plain,
( $false
| ~ spl0_88
| ~ spl0_170 ),
inference(subsumption_resolution,[],[f3529,f1335]) ).
fof(f3529,plain,
( e4 != op(e2,e0)
| ~ spl0_88 ),
inference(forward_demodulation,[],[f377,f944]) ).
fof(f944,plain,
( e4 = op(e4,e0)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f3520,plain,
( ~ spl0_49
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f3519]) ).
fof(f3519,plain,
( $false
| ~ spl0_49
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f3518,f777]) ).
fof(f3518,plain,
( e1 != op(e4,e1)
| ~ spl0_51 ),
inference(forward_demodulation,[],[f335,f785]) ).
fof(f3498,plain,
( ~ spl0_59
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f3497]) ).
fof(f3497,plain,
( $false
| ~ spl0_59
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f3496,f484]) ).
fof(f3496,plain,
( e2 = e3
| ~ spl0_59
| ~ spl0_184 ),
inference(forward_demodulation,[],[f3471,f819]) ).
fof(f3471,plain,
( e3 = op(e0,e3)
| ~ spl0_184 ),
inference(backward_demodulation,[],[f396,f1422]) ).
fof(f3437,plain,
( ~ spl0_91
| spl0_33
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f3436,f1218,f706,f955]) ).
fof(f3436,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| spl0_33
| ~ spl0_149 ),
inference(forward_demodulation,[],[f708,f1220]) ).
fof(f3419,plain,
( spl0_9
| ~ spl0_149
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3418,f1338,f1218,f603]) ).
fof(f3418,plain,
( e4 = op(e1,e1)
| ~ spl0_149
| ~ spl0_171 ),
inference(forward_demodulation,[],[f1339,f1220]) ).
fof(f3404,plain,
( ~ spl0_64
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f3403,f1218,f839]) ).
fof(f3403,plain,
( e1 != op(e1,e0)
| ~ spl0_149 ),
inference(forward_demodulation,[],[f379,f1220]) ).
fof(f3393,plain,
( ~ spl0_176
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f3392]) ).
fof(f3392,plain,
( $false
| ~ spl0_176
| ~ spl0_178 ),
inference(subsumption_resolution,[],[f3391,f479]) ).
fof(f3391,plain,
( e1 = e3
| ~ spl0_176
| ~ spl0_178 ),
inference(backward_demodulation,[],[f1373,f1388]) ).
fof(f3373,plain,
( ~ spl0_94
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
fof(f3372,plain,
( $false
| ~ spl0_94
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f3371,f483]) ).
fof(f3371,plain,
( e0 = e4
| ~ spl0_94
| ~ spl0_119 ),
inference(forward_demodulation,[],[f1078,f970]) ).
fof(f970,plain,
( e0 = op(e0,e1)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f3361,plain,
( ~ spl0_73
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f3360]) ).
fof(f3360,plain,
( $false
| ~ spl0_73
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f3359,f479]) ).
fof(f3359,plain,
( e1 = e3
| ~ spl0_73
| ~ spl0_149 ),
inference(backward_demodulation,[],[f879,f1220]) ).
fof(f3351,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f3350,f783,f779]) ).
fof(f3350,plain,
( e1 != op(e4,e0)
| ~ spl0_51 ),
inference(backward_demodulation,[],[f338,f785]) ).
fof(f3325,plain,
( ~ spl0_99
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f3324]) ).
fof(f3324,plain,
( $false
| ~ spl0_99
| ~ spl0_170 ),
inference(subsumption_resolution,[],[f3323,f1335]) ).
fof(f3323,plain,
( e4 != op(e2,e0)
| ~ spl0_99 ),
inference(forward_demodulation,[],[f340,f991]) ).
fof(f3314,plain,
( ~ spl0_3
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f3313,f1371,f577]) ).
fof(f3313,plain,
( e3 != op(e2,e2)
| ~ spl0_176 ),
inference(forward_demodulation,[],[f385,f1373]) ).
fof(f3300,plain,
( ~ spl0_176
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f3299]) ).
fof(f3299,plain,
( $false
| ~ spl0_176
| ~ spl0_182 ),
inference(subsumption_resolution,[],[f3298,f478]) ).
fof(f3298,plain,
( e3 = e4
| ~ spl0_176
| ~ spl0_182 ),
inference(forward_demodulation,[],[f3297,f1373]) ).
fof(f3297,plain,
( e4 = op(e2,e4)
| ~ spl0_182 ),
inference(forward_demodulation,[],[f404,f1414]) ).
fof(f3253,plain,
( ~ spl0_73
| ~ spl0_82
| spl0_171 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3252,plain,
( $false
| ~ spl0_73
| ~ spl0_82
| spl0_171 ),
inference(subsumption_resolution,[],[f3251,f918]) ).
fof(f3251,plain,
( e4 != op(e3,e3)
| ~ spl0_73
| spl0_171 ),
inference(forward_demodulation,[],[f1340,f879]) ).
fof(f3215,plain,
( ~ spl0_37
| ~ spl0_13
| ~ spl0_73
| spl0_96 ),
inference(avatar_split_clause,[],[f3214,f977,f877,f620,f723]) ).
fof(f977,plain,
( spl0_96
<=> e2 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f3214,plain,
( e2 != op(e3,e3)
| ~ spl0_13
| ~ spl0_73
| spl0_96 ),
inference(forward_demodulation,[],[f3213,f879]) ).
fof(f3213,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| ~ spl0_13
| spl0_96 ),
inference(forward_demodulation,[],[f979,f621]) ).
fof(f979,plain,
( e2 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| spl0_96 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f3204,plain,
( ~ spl0_175
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f3054,f995,f1365]) ).
fof(f3054,plain,
( e2 != op(e4,e2)
| ~ spl0_100 ),
inference(forward_demodulation,[],[f362,f997]) ).
fof(f3188,plain,
( ~ spl0_73
| ~ spl0_82
| ~ spl0_128
| spl0_172 ),
inference(avatar_contradiction_clause,[],[f3187]) ).
fof(f3187,plain,
( $false
| ~ spl0_73
| ~ spl0_82
| ~ spl0_128
| spl0_172 ),
inference(subsumption_resolution,[],[f3185,f1122]) ).
fof(f3185,plain,
( e2 != op(e0,e4)
| ~ spl0_73
| ~ spl0_82
| spl0_172 ),
inference(backward_demodulation,[],[f3167,f918]) ).
fof(f3167,plain,
( e2 != op(e0,op(e3,e3))
| ~ spl0_73
| spl0_172 ),
inference(forward_demodulation,[],[f1346,f879]) ).
fof(f3175,plain,
( ~ spl0_13
| ~ spl0_73
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f3174]) ).
fof(f3174,plain,
( $false
| ~ spl0_13
| ~ spl0_73
| spl0_75 ),
inference(subsumption_resolution,[],[f3173,f879]) ).
fof(f3173,plain,
( op(e0,e0) != e3
| ~ spl0_13
| spl0_75 ),
inference(forward_demodulation,[],[f888,f621]) ).
fof(f3164,plain,
( ~ spl0_37
| ~ spl0_73
| spl0_159 ),
inference(avatar_split_clause,[],[f3163,f1268,f877,f723]) ).
fof(f3163,plain,
( e2 != op(e3,e3)
| ~ spl0_73
| spl0_159 ),
inference(backward_demodulation,[],[f1270,f879]) ).
fof(f3148,plain,
( ~ spl0_45
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3147,plain,
( $false
| ~ spl0_45
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3146,f486]) ).
fof(f3146,plain,
( e1 = e2
| ~ spl0_45
| ~ spl0_154 ),
inference(forward_demodulation,[],[f758,f1245]) ).
fof(f1245,plain,
( e1 = op(e1,e1)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f3141,plain,
( ~ spl0_141
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f2690,f1243,f1181]) ).
fof(f2690,plain,
( e1 != op(e1,e2)
| ~ spl0_154 ),
inference(forward_demodulation,[],[f337,f1245]) ).
fof(f3089,plain,
( ~ spl0_3
| spl0_34
| ~ spl0_35
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f3088]) ).
fof(f3088,plain,
( $false
| ~ spl0_3
| spl0_34
| ~ spl0_35
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f3087,f827]) ).
fof(f3087,plain,
( e4 != op(e0,e3)
| ~ spl0_3
| spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f3086,f578]) ).
fof(f3086,plain,
( e4 != op(e0,op(e2,e2))
| spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f712,f715]) ).
fof(f3068,plain,
( ~ spl0_80
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f3067,f903,f907]) ).
fof(f3067,plain,
( e4 != op(e4,e4)
| ~ spl0_79 ),
inference(forward_demodulation,[],[f293,f905]) ).
fof(f3018,plain,
( ~ spl0_35
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f3017]) ).
fof(f3017,plain,
( $false
| ~ spl0_35
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f3016,f481]) ).
fof(f3016,plain,
( e2 = e4
| ~ spl0_35
| ~ spl0_122 ),
inference(backward_demodulation,[],[f1094,f715]) ).
fof(f2977,plain,
( spl0_35
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f2975,f667,f663,f714]) ).
fof(f2975,plain,
( op(e0,e0) = e2
| ~ spl0_23
| ~ spl0_24 ),
inference(backward_demodulation,[],[f668,f664]) ).
fof(f668,plain,
( e2 = op(op(e3,e3),op(e3,e3))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f2922,plain,
( ~ spl0_91
| ~ spl0_52
| spl0_132 ),
inference(avatar_split_clause,[],[f2921,f1140,f787,f955]) ).
fof(f2921,plain,
( e3 != op(op(e1,e1),op(e1,e1))
| ~ spl0_52
| spl0_132 ),
inference(forward_demodulation,[],[f1142,f789]) ).
fof(f2912,plain,
( ~ spl0_127
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f2909,f787,f1116]) ).
fof(f2909,plain,
( e1 != op(e0,e4)
| ~ spl0_52 ),
inference(backward_demodulation,[],[f359,f789]) ).
fof(f2891,plain,
( ~ spl0_32
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f2890]) ).
fof(f2890,plain,
( $false
| ~ spl0_32
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f2889,f477]) ).
fof(f2889,plain,
( e0 = e1
| ~ spl0_32
| ~ spl0_154 ),
inference(backward_demodulation,[],[f1245,f702]) ).
fof(f2867,plain,
( ~ spl0_8
| ~ spl0_71
| ~ spl0_122
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2866,plain,
( $false
| ~ spl0_8
| ~ spl0_71
| ~ spl0_122
| spl0_161 ),
inference(subsumption_resolution,[],[f2865,f871]) ).
fof(f2865,plain,
( e3 != op(e0,e2)
| ~ spl0_8
| ~ spl0_122
| spl0_161 ),
inference(forward_demodulation,[],[f2658,f599]) ).
fof(f2658,plain,
( e3 != op(e0,op(e4,e4))
| ~ spl0_122
| spl0_161 ),
inference(backward_demodulation,[],[f1278,f1094]) ).
fof(f2822,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2821,plain,
( $false
| ~ spl0_81
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f2820,f479]) ).
fof(f2820,plain,
( e1 = e3
| ~ spl0_81
| ~ spl0_83 ),
inference(backward_demodulation,[],[f922,f914]) ).
fof(f2761,plain,
( ~ spl0_134
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2760,f1173,f1149]) ).
fof(f2760,plain,
( e2 != op(e2,e2)
| ~ spl0_139 ),
inference(backward_demodulation,[],[f374,f1175]) ).
fof(f1175,plain,
( e2 = op(e1,e2)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f2754,plain,
( ~ spl0_189
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f2753,f1016,f1470]) ).
fof(f2753,plain,
( e2 != op(e2,e3)
| ~ spl0_105 ),
inference(forward_demodulation,[],[f328,f1018]) ).
fof(f1018,plain,
( e2 = op(e2,e1)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f2734,plain,
( ~ spl0_8
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2733,plain,
( $false
| ~ spl0_8
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2732,f484]) ).
fof(f2732,plain,
( e2 = e3
| ~ spl0_8
| ~ spl0_143 ),
inference(backward_demodulation,[],[f1191,f599]) ).
fof(f2675,plain,
( ~ spl0_73
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
fof(f2674,plain,
( $false
| ~ spl0_73
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f2673,f478]) ).
fof(f2673,plain,
( e3 = e4
| ~ spl0_73
| ~ spl0_122 ),
inference(backward_demodulation,[],[f1094,f879]) ).
fof(f2665,plain,
( ~ spl0_122
| spl0_125
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2664,plain,
( $false
| ~ spl0_122
| spl0_125
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2657,f1191]) ).
fof(f2657,plain,
( e3 != op(e4,e4)
| ~ spl0_122
| spl0_125 ),
inference(backward_demodulation,[],[f1107,f1094]) ).
fof(f2612,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2611,plain,
( $false
| spl0_5
| ~ spl0_23
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2610,f664]) ).
fof(f2610,plain,
( e0 != op(e3,e3)
| spl0_5
| ~ spl0_143 ),
inference(forward_demodulation,[],[f588,f1191]) ).
fof(f588,plain,
( e0 != op(op(e4,e4),op(e4,e4))
| spl0_5 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl0_5
<=> e0 = op(op(e4,e4),op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2605,plain,
( ~ spl0_99
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f2604]) ).
fof(f2604,plain,
( $false
| ~ spl0_99
| ~ spl0_133 ),
inference(subsumption_resolution,[],[f2603,f483]) ).
fof(f2603,plain,
( e0 = e4
| ~ spl0_99
| ~ spl0_133 ),
inference(forward_demodulation,[],[f991,f1147]) ).
fof(f2590,plain,
( ~ spl0_149
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2544,f1214,f1218]) ).
fof(f2544,plain,
( op(e0,e0) != e1
| ~ spl0_148 ),
inference(forward_demodulation,[],[f316,f1216]) ).
fof(f2581,plain,
( ~ spl0_149
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2549,f1116,f1218]) ).
fof(f2549,plain,
( op(e0,e0) != e1
| ~ spl0_127 ),
inference(forward_demodulation,[],[f345,f1118]) ).
fof(f1118,plain,
( e1 = op(e0,e4)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f2548,plain,
( ~ spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2547,plain,
( $false
| ~ spl0_133
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f2546,f482]) ).
fof(f2546,plain,
( e0 = e2
| ~ spl0_133
| ~ spl0_134 ),
inference(forward_demodulation,[],[f1151,f1147]) ).
fof(f2532,plain,
( ~ spl0_140
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2531,f1145,f1177]) ).
fof(f2531,plain,
( e0 != op(e1,e2)
| ~ spl0_133 ),
inference(forward_demodulation,[],[f374,f1147]) ).
fof(f2516,plain,
( ~ spl0_92
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2515,plain,
( $false
| ~ spl0_92
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f2514,f962]) ).
fof(f2514,plain,
( e0 != op(e0,e0)
| ~ spl0_94 ),
inference(forward_demodulation,[],[f298,f970]) ).
fof(f2448,plain,
( ~ spl0_114
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2447,plain,
( $false
| ~ spl0_114
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f2446,f480]) ).
fof(f2446,plain,
( e1 = e4
| ~ spl0_114
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1057,f1065]) ).
fof(f1065,plain,
( e1 = op(e3,e2)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f2436,plain,
( ~ spl0_13
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2435,plain,
( $false
| ~ spl0_13
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2434,f485]) ).
fof(f2434,plain,
( e0 = e3
| ~ spl0_13
| ~ spl0_143 ),
inference(backward_demodulation,[],[f1191,f621]) ).
fof(f2431,plain,
( ~ spl0_92
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl0_92
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f2429,f483]) ).
fof(f2429,plain,
( e0 = e4
| ~ spl0_92
| ~ spl0_122 ),
inference(forward_demodulation,[],[f1094,f962]) ).
fof(f2421,plain,
( ~ spl0_121
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f2420,f1063,f1087]) ).
fof(f2420,plain,
( e1 != op(e3,e1)
| ~ spl0_116 ),
inference(forward_demodulation,[],[f312,f1065]) ).
fof(f2370,plain,
( ~ spl0_51
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f2369]) ).
fof(f2369,plain,
( $false
| ~ spl0_51
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f2368,f486]) ).
fof(f2368,plain,
( e1 = e2
| ~ spl0_51
| ~ spl0_100 ),
inference(backward_demodulation,[],[f997,f785]) ).
fof(f2345,plain,
( ~ spl0_186
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f2344,f899,f1447]) ).
fof(f2344,plain,
( e4 != op(e2,e3)
| ~ spl0_78 ),
inference(forward_demodulation,[],[f352,f901]) ).
fof(f2328,plain,
( ~ spl0_179
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f2327,f851,f1393]) ).
fof(f2327,plain,
( e0 != op(e4,e0)
| ~ spl0_67 ),
inference(forward_demodulation,[],[f358,f853]) ).
fof(f2321,plain,
( ~ spl0_93
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f2320,f968,f964]) ).
fof(f2320,plain,
( e0 != op(e0,e4)
| ~ spl0_94 ),
inference(forward_demodulation,[],[f381,f970]) ).
fof(f381,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2283,plain,
( ~ spl0_150
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2282,plain,
( $false
| ~ spl0_150
| ~ spl0_181 ),
inference(subsumption_resolution,[],[f2281,f480]) ).
fof(f2281,plain,
( e1 = e4
| ~ spl0_150
| ~ spl0_181 ),
inference(forward_demodulation,[],[f1852,f1226]) ).
fof(f1852,plain,
( e4 = op(e1,e4)
| ~ spl0_181 ),
inference(backward_demodulation,[],[f404,f1410]) ).
fof(f2279,plain,
( ~ spl0_109
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
fof(f2278,plain,
( $false
| ~ spl0_109
| ~ spl0_110 ),
inference(subsumption_resolution,[],[f2277,f481]) ).
fof(f2277,plain,
( e2 = e4
| ~ spl0_109
| ~ spl0_110 ),
inference(backward_demodulation,[],[f1035,f1039]) ).
fof(f1039,plain,
( e2 = op(e3,e0)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f2276,plain,
( ~ spl0_127
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2275,f1224,f1116]) ).
fof(f2275,plain,
( e1 != op(e0,e4)
| ~ spl0_150 ),
inference(forward_demodulation,[],[f330,f1226]) ).
fof(f2255,plain,
( ~ spl0_73
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f2254]) ).
fof(f2254,plain,
( $false
| ~ spl0_73
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f2253,f485]) ).
fof(f2253,plain,
( e0 = e3
| ~ spl0_73
| ~ spl0_92 ),
inference(forward_demodulation,[],[f879,f962]) ).
fof(f2232,plain,
( ~ spl0_121
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f2231]) ).
fof(f2231,plain,
( $false
| ~ spl0_121
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f2230,f1245]) ).
fof(f2230,plain,
( e1 != op(e1,e1)
| ~ spl0_121 ),
inference(forward_demodulation,[],[f391,f1089]) ).
fof(f2214,plain,
( ~ spl0_52
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2213,plain,
( $false
| ~ spl0_52
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2212,f479]) ).
fof(f2212,plain,
( e1 = e3
| ~ spl0_52
| ~ spl0_143 ),
inference(forward_demodulation,[],[f1191,f789]) ).
fof(f2191,plain,
( ~ spl0_18
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2190,f1224,f642]) ).
fof(f2190,plain,
( e1 != op(e1,e3)
| ~ spl0_150 ),
inference(forward_demodulation,[],[f361,f1226]) ).
fof(f2148,plain,
( ~ spl0_28
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2147,plain,
( $false
| ~ spl0_28
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f2146,f479]) ).
fof(f2146,plain,
( e1 = e3
| ~ spl0_28
| ~ spl0_154 ),
inference(backward_demodulation,[],[f685,f1245]) ).
fof(f2139,plain,
( ~ spl0_67
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2138,f1163,f851]) ).
fof(f2138,plain,
( e0 != op(e1,e0)
| ~ spl0_137 ),
inference(forward_demodulation,[],[f357,f1165]) ).
fof(f2127,plain,
( ~ spl0_163
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2126,f723,f1287]) ).
fof(f2126,plain,
( e2 != op(e3,e1)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f332,f724]) ).
fof(f332,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2111,plain,
( ~ spl0_133
| spl0_10
| ~ spl0_28
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2110,f723,f684,f607,f1145]) ).
fof(f2110,plain,
( e0 != op(e2,e2)
| spl0_10
| ~ spl0_28
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1912,f724]) ).
fof(f1912,plain,
( e0 != op(op(e3,e3),op(e3,e3))
| spl0_10
| ~ spl0_28 ),
inference(backward_demodulation,[],[f609,f685]) ).
fof(f2109,plain,
( ~ spl0_60
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f2108,f972,f821]) ).
fof(f2108,plain,
( e0 != op(e0,e3)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f375,f974]) ).
fof(f2098,plain,
( ~ spl0_94
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f2097,f972,f968]) ).
fof(f2097,plain,
( e0 != op(e0,e1)
| ~ spl0_95 ),
inference(forward_demodulation,[],[f363,f974]) ).
fof(f2092,plain,
( ~ spl0_178
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f2091,f787,f1386]) ).
fof(f2091,plain,
( e1 != op(e2,e4)
| ~ spl0_52 ),
inference(forward_demodulation,[],[f329,f789]) ).
fof(f2090,plain,
( ~ spl0_111
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f2089,f748,f1041]) ).
fof(f2089,plain,
( e3 != op(e3,e0)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f342,f750]) ).
fof(f342,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2074,plain,
( ~ spl0_52
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f2073]) ).
fof(f2073,plain,
( $false
| ~ spl0_52
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2072,f480]) ).
fof(f2072,plain,
( e1 = e4
| ~ spl0_52
| ~ spl0_80 ),
inference(forward_demodulation,[],[f909,f789]) ).
fof(f2062,plain,
( ~ spl0_72
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl0_72
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f2060,f479]) ).
fof(f2060,plain,
( e1 = e3
| ~ spl0_72
| ~ spl0_118 ),
inference(backward_demodulation,[],[f875,f1074]) ).
fof(f2043,plain,
( ~ spl0_60
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2042,plain,
( $false
| ~ spl0_60
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f2041,f962]) ).
fof(f2041,plain,
( e0 != op(e0,e0)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f306,f823]) ).
fof(f2027,plain,
( ~ spl0_113
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2026,f723,f1051]) ).
fof(f2026,plain,
( e2 != op(e3,e2)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f331,f724]) ).
fof(f2022,plain,
( ~ spl0_3
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl0_3
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f2020,f478]) ).
fof(f2020,plain,
( e3 = e4
| ~ spl0_3
| ~ spl0_99 ),
inference(forward_demodulation,[],[f991,f578]) ).
fof(f2009,plain,
( ~ spl0_37
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f2008]) ).
fof(f2008,plain,
( $false
| ~ spl0_37
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f2007,f481]) ).
fof(f2007,plain,
( e2 = e4
| ~ spl0_37
| ~ spl0_82 ),
inference(backward_demodulation,[],[f918,f724]) ).
fof(f2003,plain,
( ~ spl0_8
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2002,plain,
( $false
| ~ spl0_8
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f2001,f486]) ).
fof(f2001,plain,
( e1 = e2
| ~ spl0_8
| ~ spl0_52 ),
inference(backward_demodulation,[],[f599,f789]) ).
fof(f1971,plain,
( ~ spl0_113
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1970,f1173,f1051]) ).
fof(f1970,plain,
( e2 != op(e3,e2)
| ~ spl0_139 ),
inference(forward_demodulation,[],[f295,f1175]) ).
fof(f1945,plain,
( ~ spl0_93
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1944,f821,f964]) ).
fof(f1944,plain,
( e0 != op(e0,e4)
| ~ spl0_60 ),
inference(forward_demodulation,[],[f365,f823]) ).
fof(f1921,plain,
( ~ spl0_28
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1920,plain,
( $false
| ~ spl0_28
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1919,f849]) ).
fof(f1919,plain,
( e3 != op(e1,e0)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f351,f685]) ).
fof(f1898,plain,
( ~ spl0_8
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| ~ spl0_8
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f1896,f481]) ).
fof(f1896,plain,
( e2 = e4
| ~ spl0_8
| ~ spl0_80 ),
inference(forward_demodulation,[],[f909,f599]) ).
fof(f1840,plain,
( ~ spl0_128
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1839,f714,f1120]) ).
fof(f1839,plain,
( e2 != op(e0,e4)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f345,f715]) ).
fof(f1836,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1835]) ).
fof(f1835,plain,
( $false
| ~ spl0_8
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1834,f482]) ).
fof(f1834,plain,
( e0 = e2
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f599,f621]) ).
fof(f1821,plain,
( ~ spl0_53
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1820,f775,f791]) ).
fof(f1820,plain,
( e1 != op(e4,e2)
| ~ spl0_49 ),
inference(backward_demodulation,[],[f369,f777]) ).
fof(f1816,plain,
( ~ spl0_63
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1815,plain,
( $false
| ~ spl0_63
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1814,f478]) ).
fof(f1814,plain,
( e3 = e4
| ~ spl0_63
| ~ spl0_66 ),
inference(forward_demodulation,[],[f837,f849]) ).
fof(f1804,plain,
( ~ spl0_54
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1803,f1163,f796]) ).
fof(f1803,plain,
( e0 != op(e3,e0)
| ~ spl0_137 ),
inference(backward_demodulation,[],[f376,f1165]) ).
fof(f376,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1802,plain,
( ~ spl0_13
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f1801]) ).
fof(f1801,plain,
( $false
| ~ spl0_13
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f1800,f477]) ).
fof(f1800,plain,
( e0 = e1
| ~ spl0_13
| ~ spl0_52 ),
inference(forward_demodulation,[],[f789,f621]) ).
fof(f1782,plain,
( ~ spl0_187
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1773,f714,f1459]) ).
fof(f1773,plain,
( e2 != op(e2,e0)
| ~ spl0_35 ),
inference(backward_demodulation,[],[f316,f715]) ).
fof(f1771,plain,
( ~ spl0_149
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1764,f779,f1218]) ).
fof(f1764,plain,
( op(e0,e0) != e1
| ~ spl0_50 ),
inference(backward_demodulation,[],[f324,f781]) ).
fof(f781,plain,
( e1 = op(e4,e0)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1758,plain,
( ~ spl0_13
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1757,plain,
( $false
| ~ spl0_13
| ~ spl0_180 ),
inference(subsumption_resolution,[],[f1756,f483]) ).
fof(f1756,plain,
( e0 = e4
| ~ spl0_13
| ~ spl0_180 ),
inference(forward_demodulation,[],[f1745,f621]) ).
fof(f1745,plain,
( e4 = op(e4,e4)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f404,f1406]) ).
fof(f1752,plain,
( spl0_49
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1746,f1404,f775]) ).
fof(f1746,plain,
( e1 = op(e4,e1)
| ~ spl0_180 ),
inference(backward_demodulation,[],[f405,f1406]) ).
fof(f1701,plain,
( ~ spl0_149
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1699,f813,f1218]) ).
fof(f1699,plain,
( op(e0,e0) != e1
| ~ spl0_58 ),
inference(backward_demodulation,[],[f306,f815]) ).
fof(f1687,plain,
( ~ spl0_35
| ~ spl0_9
| ~ spl0_13
| spl0_29 ),
inference(avatar_split_clause,[],[f1686,f688,f620,f603,f714]) ).
fof(f1686,plain,
( op(e0,e0) != e2
| ~ spl0_9
| ~ spl0_13
| spl0_29 ),
inference(forward_demodulation,[],[f1684,f621]) ).
fof(f1684,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| ~ spl0_9
| spl0_29 ),
inference(backward_demodulation,[],[f690,f604]) ).
fof(f1677,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1675,f903,f899]) ).
fof(f1675,plain,
( e4 != op(e2,e4)
| ~ spl0_79 ),
inference(backward_demodulation,[],[f339,f905]) ).
fof(f1661,plain,
( ~ spl0_13
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| ~ spl0_13
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f1659,f483]) ).
fof(f1659,plain,
( e0 = e4
| ~ spl0_13
| ~ spl0_80 ),
inference(forward_demodulation,[],[f909,f621]) ).
fof(f1656,plain,
( ~ spl0_103
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1647,f804,f1008]) ).
fof(f1647,plain,
( e0 != op(e2,e1)
| ~ spl0_56 ),
inference(backward_demodulation,[],[f313,f806]) ).
fof(f313,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1626,plain,
( ~ spl0_95
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1624,f800,f972]) ).
fof(f1624,plain,
( e0 != op(e0,e2)
| ~ spl0_55 ),
inference(backward_demodulation,[],[f350,f802]) ).
fof(f1609,plain,
( ~ spl0_102
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1594,f620,f1003]) ).
fof(f1594,plain,
( e0 != op(e4,e3)
| ~ spl0_13 ),
inference(backward_demodulation,[],[f302,f621]) ).
fof(f1570,plain,
( ~ spl0_37
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1562,f650,f723]) ).
fof(f1562,plain,
( e2 != op(e3,e3)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f318,f652]) ).
fof(f1567,plain,
( ~ spl0_45
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1561,f650,f757]) ).
fof(f1561,plain,
( e2 != op(e1,e1)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f310,f652]) ).
fof(f310,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1553,plain,
( ~ spl0_68
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1549,f1046,f856]) ).
fof(f1549,plain,
( e1 != op(e2,e2)
| ~ spl0_112 ),
inference(backward_demodulation,[],[f371,f1048]) ).
fof(f1541,plain,
( ~ spl0_79
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1535,f1169,f903]) ).
fof(f1535,plain,
( e4 != op(e1,e4)
| ~ spl0_138 ),
inference(backward_demodulation,[],[f368,f1171]) ).
fof(f1538,plain,
( ~ spl0_63
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1529,f1169,f835]) ).
fof(f1529,plain,
( e4 != op(e1,e0)
| ~ spl0_138 ),
inference(backward_demodulation,[],[f292,f1171]) ).
fof(f1525,plain,
( spl0_153
| spl0_43
| spl0_176
| spl0_70
| spl0_143 ),
inference(avatar_split_clause,[],[f527,f1190,f865,f1371,f748,f1236]) ).
fof(f527,plain,
( e3 = op(e4,e4)
| e3 = op(e0,e4)
| e3 = op(e2,e4)
| e3 = op(e3,e4)
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e0 = op(e4,e4)
| e0 = op(e4,e2)
| e0 = op(e4,e0)
| e0 = op(e4,e3)
| e0 = op(e4,e1) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e3) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3) )
& ( e2 = op(e0,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3) )
& ( e1 = op(e2,e3)
| e1 = op(e4,e3)
| e1 = op(e0,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& ( e4 = op(e3,e2)
| e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e0,e4)
| e2 = op(e1,e4)
| e2 = op(e4,e4)
| e2 = op(e2,e4) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) )
& ( e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e4,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e0) )
& ( e4 = op(e1,e0)
| e4 = op(e1,e1)
| e4 = op(e1,e3)
| e4 = op(e1,e4)
| e4 = op(e1,e2) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e0,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e0,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e2,e4) )
& ( e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e2,e2)
| e4 = op(e4,e2)
| e4 = op(e3,e2) )
& ( e0 = op(e1,e4)
| e0 = op(e0,e4)
| e0 = op(e2,e4)
| e0 = op(e3,e4)
| e0 = op(e4,e4) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e4)
| e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e2) )
& ( e2 = op(e0,e2)
| op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e4) )
& ( e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1) )
& ( e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e3,e1) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e4)
| e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e1)
| e3 = op(e0,e4)
| op(e0,e0) = e3 )
& ( e4 = op(e4,e3)
| e4 = op(e1,e3)
| e4 = op(e2,e3)
| e4 = op(e3,e3)
| e4 = op(e0,e3) )
& ( e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e4,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( op(e0,e0) = e2
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e4,e0) )
& ( e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e4)
| e0 = op(e3,e1)
| e0 = op(e3,e2) )
& ( e1 = op(e0,e3)
| e1 = op(e0,e4)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e1) )
& ( op(e0,e0) = e1
| e1 = op(e4,e0)
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0)
| e4 = op(e2,e3) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e3) )
& ( e3 = op(e4,e3)
| e3 = op(e4,e0)
| e3 = op(e4,e4)
| e3 = op(e4,e2)
| e3 = op(e4,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e4)
| e1 = op(e2,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e4,e0)
| e4 = op(e4,e1)
| e4 = op(e4,e4)
| e4 = op(e4,e2) )
& ( e4 = op(e0,e1)
| e4 = op(e0,e2)
| op(e0,e0) = e4
| e4 = op(e0,e4)
| e4 = op(e0,e3) )
& ( e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e4) )
& ( e1 = op(e4,e1)
| e1 = op(e4,e3)
| e1 = op(e4,e4)
| e1 = op(e4,e0)
| e1 = op(e4,e2) )
& ( e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2)
| e2 = op(e1,e2) )
& ( e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e0)
| e2 = op(e2,e4) )
& ( e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2) )
& ( e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e4,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e2,e1)
| e3 = op(e4,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1)
| e3 = op(e3,e1) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e4 = op(e0,e4)
| e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e1,e4)
| e4 = op(e2,e4) )
& ( e4 = op(e4,e0)
| op(e0,e0) = e4
| e4 = op(e3,e0)
| e4 = op(e1,e0)
| e4 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e3,e4)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e4)
| e0 = op(e1,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1522,plain,
( spl0_73
| spl0_143
| spl0_83
| spl0_28
| spl0_3 ),
inference(avatar_split_clause,[],[f279,f577,f684,f920,f1190,f877]) ).
fof(f279,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e4,e4)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( ( e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e0,e0)
| e0 = op(e3,e3)
| e0 = op(e4,e4) )
& ( e1 = op(e1,e1)
| e1 = op(e3,e3)
| op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2) )
& ( e4 = op(e3,e3)
| e4 = op(e1,e1)
| op(e0,e0) = e4
| e4 = op(e4,e4)
| e4 = op(e2,e2) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3
| e3 = op(e3,e3)
| e3 = op(e4,e4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f1520,plain,
( spl0_177
| spl0_187
| spl0_170
| spl0_148
| spl0_137 ),
inference(avatar_split_clause,[],[f427,f1163,f1214,f1333,f1459,f1375]) ).
fof(f427,plain,
( e0 = op(e2,e0)
| e1 = op(e2,e0)
| e4 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0) )
& ( e1 = op(e0,e4)
| e2 = op(e0,e4)
| e0 = op(e0,e4)
| e4 = op(e0,e4)
| e3 = op(e0,e4) )
& ( e0 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e1 = op(e4,e0) )
& ( e0 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e4 = op(e3,e4) )
& ( e2 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e2 = op(e0,e1)
| e4 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e4 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1) )
& ( e1 = op(e1,e0)
| e3 = op(e1,e0)
| e0 = op(e1,e0)
| e2 = op(e1,e0)
| e4 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e0 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e1 = op(e3,e3)
| e4 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e3 = op(e4,e3)
| e0 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e4 = op(e4,e3) )
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e1,e4)
| e4 = op(e1,e4)
| e3 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4) )
& ( e1 = op(e0,e3)
| e4 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e4,e2)
| e2 = op(e4,e2)
| e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e4 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3)
| e1 = op(e2,e3) )
& ( e4 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e1 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e0 = op(e3,e1)
| e3 = op(e3,e1) )
& ( e3 = op(e1,e3)
| e4 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( op(e0,e0) = e4
| e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e2 )
& ( e2 = op(e2,e4)
| e3 = op(e2,e4)
| e0 = op(e2,e4)
| e1 = op(e2,e4)
| e4 = op(e2,e4) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1518,plain,
( ~ spl0_159
| ~ spl0_122
| ~ spl0_33
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f488,f1101,f706,f1093,f1268]) ).
fof(f488,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e4
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e4 ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
~ ( e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e4
& e3 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f1517,plain,
( spl0_59
| spl0_189
| spl0_20
| spl0_100
| spl0_37 ),
inference(avatar_split_clause,[],[f535,f723,f995,f650,f1470,f817]) ).
fof(f535,plain,
( e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1515,plain,
( spl0_9
| spl0_80
| spl0_82
| spl0_122
| spl0_99 ),
inference(avatar_split_clause,[],[f281,f990,f1093,f916,f907,f603]) ).
fof(f281,plain,
( e4 = op(e2,e2)
| op(e0,e0) = e4
| e4 = op(e3,e3)
| e4 = op(e4,e4)
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1513,plain,
( ~ spl0_17
| ~ spl0_69
| ~ spl0_16
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f263,f990,f633,f860,f637]) ).
fof(f263,plain,
( e4 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e4 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e3 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
& e4 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f1511,plain,
( spl0_82
| spl0_114
| spl0_109
| spl0_44
| spl0_166 ),
inference(avatar_split_clause,[],[f533,f1308,f752,f1033,f1055,f916]) ).
fof(f533,plain,
( e4 = op(e3,e1)
| e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e2)
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1510,plain,
( ~ spl0_27
| ~ spl0_9
| ~ spl0_12
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f275,f688,f615,f603,f680]) ).
fof(f275,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e4 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e4 != op(e1,e1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
~ ( e4 = op(e1,e1)
& e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f1509,plain,
( spl0_190
| spl0_119
| spl0_61
| spl0_122
| spl0_77 ),
inference(avatar_split_clause,[],[f505,f895,f1093,f825,f1076,f1480]) ).
fof(f505,plain,
( e4 = op(e0,e4)
| op(e0,e0) = e4
| e4 = op(e0,e3)
| e4 = op(e0,e1)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1507,plain,
( spl0_95
| spl0_190
| spl0_71
| spl0_164
| spl0_169 ),
inference(avatar_split_clause,[],[f418,f1325,f1292,f869,f1480,f972]) ).
fof(f418,plain,
( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e4 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1501,plain,
( ~ spl0_28
| ~ spl0_10
| ~ spl0_30
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f285,f611,f692,f607,f684]) ).
fof(f285,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e4 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,axiom,
~ ( e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
fof(f1497,plain,
( spl0_179
| spl0_88
| spl0_50
| spl0_185
| spl0_165 ),
inference(avatar_split_clause,[],[f429,f1299,f1429,f779,f942,f1393]) ).
fof(f429,plain,
( e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1495,plain,
( spl0_136
| spl0_189
| spl0_112
| spl0_186
| spl0_129 ),
inference(avatar_split_clause,[],[f414,f1125,f1447,f1046,f1470,f1159]) ).
fof(f414,plain,
( e3 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1493,plain,
( spl0_157
| spl0_72
| spl0_106
| spl0_28
| spl0_173 ),
inference(avatar_split_clause,[],[f497,f1355,f684,f1020,f873,f1259]) ).
fof(f497,plain,
( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1)
| e3 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1488,plain,
( spl0_111
| spl0_165
| spl0_73
| spl0_177
| spl0_66 ),
inference(avatar_split_clause,[],[f516,f847,f1375,f877,f1299,f1041]) ).
fof(f516,plain,
( e3 = op(e1,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3
| e3 = op(e4,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1487,plain,
( spl0_173
| spl0_166
| spl0_163
| spl0_121
| spl0_56 ),
inference(avatar_split_clause,[],[f412,f804,f1087,f1287,f1308,f1355]) ).
fof(f412,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e4 = op(e3,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1486,plain,
( spl0_178
| spl0_188
| spl0_135
| spl0_78
| spl0_176 ),
inference(avatar_split_clause,[],[f408,f1371,f899,f1155,f1466,f1386]) ).
fof(f408,plain,
( e3 = op(e2,e4)
| e4 = op(e2,e4)
| e0 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1485,plain,
( spl0_127
| spl0_169
| spl0_149
| spl0_58
| spl0_118 ),
inference(avatar_split_clause,[],[f512,f1072,f813,f1218,f1325,f1116]) ).
fof(f512,plain,
( e1 = op(e0,e1)
| e1 = op(e0,e3)
| op(e0,e0) = e1
| e1 = op(e0,e2)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1483,plain,
( spl0_114
| spl0_190
| spl0_138
| spl0_99
| spl0_85 ),
inference(avatar_split_clause,[],[f525,f930,f990,f1169,f1480,f1055]) ).
fof(f525,plain,
( e4 = op(e4,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1477,plain,
( ~ spl0_13
| ~ spl0_76
| ~ spl0_96
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f545,f886,f977,f890,f620]) ).
fof(f545,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e2 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e1 != op(e4,op(op(e4,e4),op(e4,e4)))
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( e1 != op(e4,op(op(e4,e4),op(e4,e4)))
| e0 != op(e4,e4)
| e2 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e3 != op(op(e4,e4),op(e4,e4)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
~ ( e1 = op(e4,op(op(e4,e4),op(e4,e4)))
& e3 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4)
& e2 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f1475,plain,
( ~ spl0_149
| ~ spl0_159
| ~ spl0_167
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f254,f1276,f1315,f1268,f1218]) ).
fof(f254,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e4 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e2 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( e4 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(e0,e0),op(e0,e0))
& e4 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e3 = op(e0,op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f1474,plain,
( ~ spl0_171
| ~ spl0_123
| ~ spl0_124
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f257,f877,f1101,f1097,f1338]) ).
fof(f257,plain,
( op(e0,e0) != e3
| e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e4 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e4 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
~ ( op(e0,e0) = e3
& e4 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e1 = op(e0,op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f1462,plain,
( spl0_35
| spl0_110
| spl0_185
| spl0_187
| spl0_65 ),
inference(avatar_split_clause,[],[f514,f843,f1459,f1429,f1037,f714]) ).
fof(f514,plain,
( e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e4,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1455,plain,
( spl0_68
| spl0_178
| spl0_107
| spl0_148
| spl0_112 ),
inference(avatar_split_clause,[],[f507,f1046,f1214,f1024,f1386,f856]) ).
fof(f507,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e4)
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1454,plain,
( spl0_66
| spl0_153
| spl0_22
| spl0_142
| spl0_28 ),
inference(avatar_split_clause,[],[f515,f684,f1185,f658,f1236,f847]) ).
fof(f515,plain,
( e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1450,plain,
( spl0_78
| spl0_104
| spl0_99
| spl0_170
| spl0_186 ),
inference(avatar_split_clause,[],[f510,f1447,f1333,f990,f1012,f899]) ).
fof(f510,plain,
( e4 = op(e2,e3)
| e4 = op(e2,e0)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1442,plain,
( ~ spl0_89
| ~ spl0_162
| ~ spl0_27
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f489,f684,f680,f1281,f947]) ).
fof(f489,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e4 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( e2 != op(e1,op(op(e1,e1),op(e1,e1)))
| e4 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
~ ( e0 = op(op(e1,e1),op(e1,e1))
& e4 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f1441,plain,
( ~ spl0_172
| ~ spl0_125
| ~ spl0_149
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f457,f1315,f1218,f1105,f1344]) ).
fof(f457,plain,
( e4 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,e0),op(e0,e0))
| e4 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
~ ( e4 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e3 = op(op(e0,e0),op(e0,e0))
& op(e0,e0) = e1
& e2 = op(e0,op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f1434,plain,
( ~ spl0_143
| ~ spl0_5
| ~ spl0_6
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f487,f1135,f590,f586,f1190]) ).
fof(f487,plain,
( e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e1 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e0 != op(op(e4,e4),op(e4,e4))
| e3 != op(e4,e4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e3 != op(e4,e4)
| e0 != op(op(e4,e4),op(e4,e4))
| e1 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
~ ( e0 = op(op(e4,e4),op(e4,e4))
& e1 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
& e2 = op(e4,op(op(e4,e4),op(e4,e4)))
& e3 = op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f1432,plain,
( spl0_100
| spl0_156
| spl0_185
| spl0_175
| spl0_8 ),
inference(avatar_split_clause,[],[f509,f598,f1365,f1429,f1255,f995]) ).
fof(f509,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e1)
| e2 = op(e4,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1425,plain,
( spl0_37
| spl0_45
| spl0_134
| spl0_35
| spl0_8 ),
inference(avatar_split_clause,[],[f280,f598,f714,f1149,f757,f723]) ).
fof(f280,plain,
( e2 = op(e4,e4)
| op(e0,e0) = e2
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1424,plain,
( ~ spl0_6
| ~ spl0_75
| ~ spl0_131
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f460,f620,f1135,f886,f590]) ).
fof(f460,plain,
( e0 != op(e4,e4)
| e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e3 != op(op(e4,e4),op(e4,e4))
| e1 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( e3 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,e4)
| e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e1 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
~ ( e1 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
& e2 = op(e4,op(op(e4,e4),op(e4,e4)))
& e3 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f1423,plain,
( spl0_180
| spl0_181
| spl0_182
| spl0_183
| spl0_184 ),
inference(avatar_split_clause,[],[f399,f1420,f1416,f1412,f1408,f1404]) ).
fof(f399,plain,
( e0 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1399,plain,
( ~ spl0_97
| ~ spl0_132
| ~ spl0_52
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f288,f624,f787,f1140,f981]) ).
fof(f288,plain,
( e2 != op(op(e4,e4),op(e4,e4))
| e1 != op(e4,e4)
| e3 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e0 != op(e4,op(op(e4,e4),op(e4,e4))) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( e3 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e1 != op(e4,e4)
| e2 != op(op(e4,e4),op(e4,e4))
| e0 != op(e4,op(op(e4,e4),op(e4,e4))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e2 = op(op(e4,e4),op(e4,e4))
& e0 = op(e4,op(op(e4,e4),op(e4,e4)))
& e1 = op(e4,e4)
& e3 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f1397,plain,
( ~ spl0_35
| ~ spl0_125
| ~ spl0_34
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f468,f1272,f710,f1105,f714]) ).
fof(f468,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e3 != op(op(e0,e0),op(e0,e0))
| e4 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
~ ( op(e0,e0) = e2
& e4 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax107) ).
fof(f1390,plain,
( spl0_149
| spl0_35
| spl0_92
| spl0_73
| spl0_122 ),
inference(avatar_split_clause,[],[f409,f1093,f877,f960,f714,f1218]) ).
fof(f409,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1389,plain,
( spl0_150
| spl0_178
| spl0_52
| spl0_40
| spl0_127 ),
inference(avatar_split_clause,[],[f526,f1116,f736,f787,f1386,f1224]) ).
fof(f526,plain,
( e1 = op(e0,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1384,plain,
( spl0_154
| spl0_81
| spl0_68
| spl0_52
| spl0_149 ),
inference(avatar_split_clause,[],[f282,f1218,f787,f856,f912,f1243]) ).
fof(f282,plain,
( op(e0,e0) = e1
| e1 = op(e4,e4)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1381,plain,
( ~ spl0_172
| ~ spl0_160
| ~ spl0_171
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f471,f877,f1338,f1272,f1344]) ).
fof(f471,plain,
( op(e0,e0) != e3
| e4 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e2 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e4 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
~ ( e4 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f1378,plain,
( spl0_3
| spl0_106
| spl0_176
| spl0_129
| spl0_177 ),
inference(avatar_split_clause,[],[f529,f1375,f1125,f1371,f1020,f577]) ).
fof(f529,plain,
( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e4)
| e3 = op(e2,e1)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1368,plain,
( spl0_174
| spl0_53
| spl0_85
| spl0_144
| spl0_175 ),
inference(avatar_split_clause,[],[f415,f1365,f1195,f930,f791,f1361]) ).
fof(f415,plain,
( e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1359,plain,
( ~ spl0_147
| ~ spl0_133
| ~ spl0_16
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f267,f629,f633,f1145,f1209]) ).
fof(f267,plain,
( e4 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( e1 != op(op(e2,e2),op(e2,e2))
| e4 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
~ ( e3 = op(e2,op(op(e2,e2),op(e2,e2)))
& e0 = op(e2,e2)
& e4 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f1353,plain,
( ~ spl0_34
| ~ spl0_159
| ~ spl0_73
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f552,f1272,f877,f1268,f710]) ).
fof(f552,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e3
| e2 != op(op(e0,e0),op(e0,e0))
| e4 != op(e0,op(op(e0,e0),op(e0,e0))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( op(e0,e0) != e3
| e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,axiom,
~ ( op(e0,e0) = e3
& e2 = op(op(e0,e0),op(e0,e0))
& e4 = op(e0,op(op(e0,e0),op(e0,e0)))
& e1 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(f1351,plain,
( ~ spl0_39
| ~ spl0_130
| ~ spl0_81
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f548,f727,f912,f1130,f731]) ).
fof(f548,plain,
( e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| e4 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),op(e3,e3)))
| e4 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e0 = op(e3,op(op(e3,e3),op(e3,e3)))
& e4 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f1350,plain,
( spl0_133
| spl0_92
| spl0_13
| spl0_32
| spl0_23 ),
inference(avatar_split_clause,[],[f283,f663,f701,f620,f960,f1145]) ).
fof(f283,plain,
( e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e4,e4)
| e0 = op(e0,e0)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1341,plain,
( ~ spl0_171
| ~ spl0_124
| ~ spl0_35
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f273,f706,f714,f1101,f1338]) ).
fof(f273,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e4 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( op(e0,e0) != e2
| e4 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
~ ( op(e0,e0) = e2
& e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e3 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e4 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f1336,plain,
( spl0_88
| spl0_122
| spl0_109
| spl0_63
| spl0_170 ),
inference(avatar_split_clause,[],[f494,f1333,f835,f1033,f1093,f942]) ).
fof(f494,plain,
( e4 = op(e2,e0)
| e4 = op(e1,e0)
| e4 = op(e3,e0)
| op(e0,e0) = e4
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1331,plain,
( spl0_19
| spl0_152
| spl0_67
| spl0_140
| spl0_32 ),
inference(avatar_split_clause,[],[f492,f701,f1177,f851,f1232,f646]) ).
fof(f492,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e4)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1329,plain,
( ~ spl0_29
| ~ spl0_9
| ~ spl0_91
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f456,f951,f955,f603,f688]) ).
fof(f456,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e3 != op(op(e1,e1),op(e1,e1))
| e4 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e4 != op(e1,e1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e2 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f1328,plain,
( spl0_116
| spl0_68
| spl0_169
| spl0_141
| spl0_53 ),
inference(avatar_split_clause,[],[f500,f791,f1181,f1325,f856,f1063]) ).
fof(f500,plain,
( e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1323,plain,
( ~ spl0_82
| ~ spl0_168
| ~ spl0_130
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f565,f1250,f1130,f1320,f916]) ).
fof(f565,plain,
( e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| e0 != op(op(e3,e3),op(e3,e3))
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| e4 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
~ ( e4 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
& e1 = op(e3,op(op(e3,e3),op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f1313,plain,
( spl0_117
| spl0_105
| spl0_156
| spl0_45
| spl0_163 ),
inference(avatar_split_clause,[],[f520,f1287,f757,f1255,f1016,f1068]) ).
fof(f520,plain,
( e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1311,plain,
( spl0_104
| spl0_119
| spl0_9
| spl0_166
| spl0_87 ),
inference(avatar_split_clause,[],[f531,f938,f1308,f603,f1076,f1012]) ).
fof(f531,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1304,plain,
( spl0_79
| spl0_21
| spl0_63
| spl0_9
| spl0_138 ),
inference(avatar_split_clause,[],[f528,f1169,f603,f835,f654,f903]) ).
fof(f528,plain,
( e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1303,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_149
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f470,f1268,f1218,f710,f706]) ).
fof(f470,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e1
| e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e1
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e4 = op(e0,op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
fof(f1302,plain,
( spl0_157
| spl0_144
| spl0_101
| spl0_165
| spl0_143 ),
inference(avatar_split_clause,[],[f508,f1190,f1299,f999,f1195,f1259]) ).
fof(f508,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1297,plain,
( ~ spl0_74
| ~ spl0_126
| ~ spl0_143
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f557,f1135,f1190,f1110,f882]) ).
fof(f557,plain,
( e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e3 != op(e4,e4)
| e1 != op(op(e4,e4),op(e4,e4))
| e0 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( e3 != op(e4,e4)
| e0 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
| e2 != op(e4,op(op(e4,e4),op(e4,e4)))
| e1 != op(op(e4,e4),op(e4,e4)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
~ ( e0 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
& e3 = op(e4,e4)
& e1 = op(op(e4,e4),op(e4,e4))
& e2 = op(e4,op(op(e4,e4),op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f1296,plain,
( spl0_56
| spl0_158
| spl0_103
| spl0_94
| spl0_32 ),
inference(avatar_split_clause,[],[f540,f701,f968,f1008,f1263,f804]) ).
fof(f540,plain,
( e0 = op(e1,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e4,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1295,plain,
( spl0_164
| spl0_117
| spl0_59
| spl0_35
| spl0_128 ),
inference(avatar_split_clause,[],[f522,f1120,f714,f817,f1068,f1292]) ).
fof(f522,plain,
( e2 = op(e0,e4)
| op(e0,e0) = e2
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1290,plain,
( spl0_110
| spl0_163
| spl0_113
| spl0_41
| spl0_37 ),
inference(avatar_split_clause,[],[f539,f723,f740,f1051,f1287,f1037]) ).
fof(f539,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1279,plain,
( ~ spl0_159
| ~ spl0_122
| ~ spl0_160
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f286,f1276,f1272,f1093,f1268]) ).
fof(f286,plain,
( e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e4
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( e2 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e4
| e3 != op(e0,op(op(e0,e0),op(e0,e0)))
| e1 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
~ ( e1 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& op(e0,e0) = e4
& e3 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f1266,plain,
( spl0_49
| spl0_156
| spl0_87
| spl0_157
| spl0_158 ),
inference(avatar_split_clause,[],[f423,f1263,f1259,f938,f1255,f775]) ).
fof(f423,plain,
( e0 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1241,plain,
( ~ spl0_132
| ~ spl0_126
| ~ spl0_8
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f259,f981,f598,f1110,f1140]) ).
fof(f259,plain,
( e0 != op(e4,op(op(e4,e4),op(e4,e4)))
| e2 != op(e4,e4)
| e1 != op(op(e4,e4),op(e4,e4))
| e3 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( e0 != op(e4,op(op(e4,e4),op(e4,e4)))
| e1 != op(op(e4,e4),op(e4,e4))
| e2 != op(e4,e4)
| e3 != op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e3 = op(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4)))
& e2 = op(e4,e4)
& e0 = op(e4,op(op(e4,e4),op(e4,e4)))
& e1 = op(op(e4,e4),op(e4,e4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f1239,plain,
( spl0_150
| spl0_79
| spl0_151
| spl0_152
| spl0_153 ),
inference(avatar_split_clause,[],[f417,f1236,f1232,f1228,f903,f1224]) ).
fof(f417,plain,
( e3 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4)
| e1 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1222,plain,
( ~ spl0_1
| ~ spl0_146
| ~ spl0_133
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f566,f1209,f1145,f1205,f569]) ).
fof(f566,plain,
( e3 != op(e2,op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,e2)
| e4 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( e0 != op(e2,e2)
| e4 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e3 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
~ ( e1 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
& e4 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(e2,op(op(e2,e2),op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96) ).
fof(f1198,plain,
( spl0_71
| spl0_144
| spl0_115
| spl0_142
| spl0_3 ),
inference(avatar_split_clause,[],[f538,f577,f1185,f1059,f1195,f869]) ).
fof(f538,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2)
| e3 = op(e4,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1188,plain,
( spl0_138
| spl0_139
| spl0_140
| spl0_141
| spl0_142 ),
inference(avatar_split_clause,[],[f413,f1185,f1181,f1177,f1173,f1169]) ).
fof(f413,plain,
( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2)
| e4 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1167,plain,
( ~ spl0_89
| ~ spl0_12
| ~ spl0_32
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f554,f611,f701,f615,f947]) ).
fof(f554,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),op(e1,e1)))
| e4 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e4 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 != op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(op(e1,e1),op(e1,e1)))
& e4 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f1153,plain,
( ~ spl0_81
| ~ spl0_84
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f455,f671,f667,f925,f912]) ).
fof(f455,plain,
( e4 != op(e3,op(op(e3,e3),op(e3,e3)))
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3)
| e4 != op(e3,op(op(e3,e3),op(e3,e3)))
| e0 != op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,axiom,
~ ( e0 = op(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3)))
& e4 = op(e3,op(op(e3,e3),op(e3,e3)))
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax125) ).
fof(f1152,plain,
( spl0_133
| spl0_3
| spl0_68
| spl0_134
| spl0_99 ),
inference(avatar_split_clause,[],[f407,f990,f1149,f856,f577,f1145]) ).
fof(f407,plain,
( e4 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1123,plain,
( spl0_127
| spl0_128
| spl0_77
| spl0_70
| spl0_93 ),
inference(avatar_split_clause,[],[f430,f964,f865,f895,f1120,f1116]) ).
fof(f430,plain,
( e0 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1108,plain,
( ~ spl0_122
| ~ spl0_123
| ~ spl0_124
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f439,f1105,f1101,f1097,f1093]) ).
fof(f439,plain,
( e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( e1 != op(e0,op(op(e0,e0),op(e0,e0)))
| e2 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e4
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
~ ( op(e0,e0) = e4
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,op(op(e0,e0),op(e0,e0)))
& e2 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f1084,plain,
( ~ spl0_17
| ~ spl0_120
| ~ spl0_99
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f438,f569,f990,f1081,f637]) ).
fof(f438,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e4 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,op(op(e2,e2),op(e2,e2))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
| e0 != op(e2,op(op(e2,e2),op(e2,e2)))
| e3 != op(op(e2,e2),op(e2,e2))
| e4 != op(e2,e2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2)))
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,op(op(e2,e2),op(e2,e2)))
& e4 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1079,plain,
( spl0_117
| spl0_118
| spl0_94
| spl0_72
| spl0_119 ),
inference(avatar_split_clause,[],[f426,f1076,f873,f968,f1072,f1068]) ).
fof(f426,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1066,plain,
( spl0_113
| spl0_114
| spl0_115
| spl0_116
| spl0_55 ),
inference(avatar_split_clause,[],[f420,f800,f1063,f1059,f1055,f1051]) ).
fof(f420,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1049,plain,
( spl0_112
| spl0_81
| spl0_51
| spl0_58
| spl0_18 ),
inference(avatar_split_clause,[],[f534,f642,f813,f783,f912,f1046]) ).
fof(f534,plain,
( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1044,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111
| spl0_54 ),
inference(avatar_split_clause,[],[f431,f796,f1041,f1037,f1033,f1029]) ).
fof(f431,plain,
( e0 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e4 = op(e3,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1027,plain,
( spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(avatar_split_clause,[],[f425,f1024,f1020,f1016,f1012,f1008]) ).
fof(f425,plain,
( e1 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e4 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1006,plain,
( spl0_86
| spl0_100
| spl0_101
| spl0_51
| spl0_102 ),
inference(avatar_split_clause,[],[f419,f1003,f783,f999,f995,f934]) ).
fof(f419,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f880,plain,
( spl0_70
| spl0_57
| spl0_71
| spl0_72
| spl0_73 ),
inference(avatar_split_clause,[],[f518,f877,f873,f869,f809,f865]) ).
fof(f518,plain,
( op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f854,plain,
( spl0_63
| spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(avatar_split_clause,[],[f424,f851,f847,f843,f839,f835]) ).
fof(f424,plain,
( e0 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f828,plain,
( spl0_57
| spl0_58
| spl0_59
| spl0_60
| spl0_61 ),
inference(avatar_split_clause,[],[f416,f825,f821,f817,f813,f809]) ).
fof(f416,plain,
( e4 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f807,plain,
( spl0_42
| spl0_54
| spl0_55
| spl0_23
| spl0_56 ),
inference(avatar_split_clause,[],[f513,f804,f663,f800,f796,f744]) ).
fof(f513,plain,
( e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f755,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f428,f752,f748,f744,f740,f736]) ).
fof(f428,plain,
( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f721,plain,
( ~ spl0_33
| ~ spl0_34
| ~ spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f247,f718,f714,f710,f706]) ).
fof(f247,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e2
| e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( e4 != op(e0,op(op(e0,e0),op(e0,e0)))
| op(e0,e0) != e2
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,axiom,
~ ( e1 = op(op(e0,e0),op(e0,e0))
& op(e0,e0) = e2
& e3 = op(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0)))
& e4 = op(e0,op(op(e0,e0),op(e0,e0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
fof(f661,plain,
( spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f411,f658,f654,f650,f646,f642]) ).
fof(f411,plain,
( e3 = op(e1,e3)
| e4 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG096+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:52:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (20404)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (20423)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)
% 0.20/0.55 % (20415)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)
% 0.20/0.56 % (20411)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)
% 0.20/0.57 % (20408)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58 % (20420)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)
% 0.20/0.58 % (20428)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.59 % (20406)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)
% 0.20/0.59 % (20408)Instruction limit reached!
% 0.20/0.59 % (20408)------------------------------
% 0.20/0.59 % (20408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (20408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (20408)Termination reason: Unknown
% 0.20/0.59 % (20408)Termination phase: Preprocessing 1
% 0.20/0.59
% 0.20/0.59 % (20408)Memory used [KB]: 1023
% 0.20/0.59 % (20408)Time elapsed: 0.003 s
% 0.20/0.59 % (20408)Instructions burned: 2 (million)
% 0.20/0.59 % (20408)------------------------------
% 0.20/0.59 % (20408)------------------------------
% 0.20/0.59 % (20400)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)
% 0.20/0.60 % (20416)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)
% 0.20/0.61 % (20405)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)
% 0.20/0.61 % (20402)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)
% 0.20/0.62 % (20412)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.62 % (20403)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)
% 1.89/0.62 % (20409)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)
% 1.89/0.63 % (20417)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.89/0.63 % (20421)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.89/0.63 % (20414)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)
% 1.89/0.63 % (20424)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.89/0.63 % (20429)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)
% 1.89/0.63 % (20427)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)
% 2.12/0.64 % (20419)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)
% 2.12/0.64 % (20401)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)
% 2.12/0.64 % (20426)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)
% 2.12/0.65 % (20422)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)
% 2.12/0.65 % (20413)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.12/0.65 % (20410)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.19/0.65 % (20404)Instruction limit reached!
% 2.19/0.65 % (20404)------------------------------
% 2.19/0.65 % (20404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65 % (20404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65 % (20404)Termination reason: Unknown
% 2.19/0.65 % (20404)Termination phase: Saturation
% 2.19/0.65
% 2.19/0.65 % (20404)Memory used [KB]: 6652
% 2.19/0.65 % (20404)Time elapsed: 0.039 s
% 2.19/0.65 % (20404)Instructions burned: 52 (million)
% 2.19/0.65 % (20404)------------------------------
% 2.19/0.65 % (20404)------------------------------
% 2.19/0.66 % (20407)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.19/0.68 % (20425)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.19/0.68 % (20415)Instruction limit reached!
% 2.19/0.68 % (20415)------------------------------
% 2.19/0.68 % (20415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.68 % (20407)Instruction limit reached!
% 2.19/0.68 % (20407)------------------------------
% 2.19/0.68 % (20407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.68 % (20407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.68 % (20407)Termination reason: Unknown
% 2.19/0.68 % (20407)Termination phase: Property scanning
% 2.19/0.68
% 2.19/0.68 % (20407)Memory used [KB]: 1151
% 2.19/0.68 % (20407)Time elapsed: 0.007 s
% 2.19/0.68 % (20407)Instructions burned: 8 (million)
% 2.19/0.68 % (20407)------------------------------
% 2.19/0.68 % (20407)------------------------------
% 2.19/0.69 % (20418)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.19/0.69 % (20415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (20415)Termination reason: Unknown
% 2.19/0.69 % (20415)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (20415)Memory used [KB]: 1791
% 2.19/0.69 % (20415)Time elapsed: 0.174 s
% 2.19/0.69 % (20415)Instructions burned: 76 (million)
% 2.19/0.69 % (20415)------------------------------
% 2.19/0.69 % (20415)------------------------------
% 2.19/0.69 % (20402)Instruction limit reached!
% 2.19/0.69 % (20402)------------------------------
% 2.19/0.69 % (20402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.69 % (20402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (20402)Termination reason: Unknown
% 2.19/0.69 % (20402)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (20402)Memory used [KB]: 1279
% 2.19/0.69 % (20402)Time elapsed: 0.245 s
% 2.19/0.69 % (20402)Instructions burned: 37 (million)
% 2.19/0.69 % (20402)------------------------------
% 2.19/0.69 % (20402)------------------------------
% 2.19/0.70 % (20406)Instruction limit reached!
% 2.19/0.70 % (20406)------------------------------
% 2.19/0.70 % (20406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.70 % (20406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.70 % (20406)Termination reason: Unknown
% 2.19/0.70 % (20406)Termination phase: Finite model building preprocessing
% 2.19/0.70
% 2.19/0.70 % (20406)Memory used [KB]: 2302
% 2.19/0.70 % (20406)Time elapsed: 0.032 s
% 2.19/0.70 % (20406)Instructions burned: 51 (million)
% 2.19/0.70 % (20406)------------------------------
% 2.19/0.70 % (20406)------------------------------
% 2.71/0.72 TRYING [5]
% 2.71/0.73 % (20405)Instruction limit reached!
% 2.71/0.73 % (20405)------------------------------
% 2.71/0.73 % (20405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (20405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (20405)Termination reason: Unknown
% 2.71/0.73 % (20405)Termination phase: Saturation
% 2.71/0.73
% 2.71/0.73 % (20405)Memory used [KB]: 6524
% 2.71/0.73 % (20405)Time elapsed: 0.289 s
% 2.71/0.73 % (20405)Instructions burned: 48 (million)
% 2.71/0.73 % (20405)------------------------------
% 2.71/0.73 % (20405)------------------------------
% 2.71/0.74 % (20403)Instruction limit reached!
% 2.71/0.74 % (20403)------------------------------
% 2.71/0.74 % (20403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74 % (20417)Instruction limit reached!
% 2.71/0.74 % (20417)------------------------------
% 2.71/0.74 % (20417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.75 % (20411)Instruction limit reached!
% 2.71/0.75 % (20411)------------------------------
% 2.71/0.75 % (20411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.75 % (20411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.75 % (20411)Termination reason: Unknown
% 2.71/0.75 % (20411)Termination phase: Saturation
% 2.71/0.75
% 2.71/0.75 % (20411)Memory used [KB]: 7547
% 2.71/0.75 % (20411)Time elapsed: 0.262 s
% 2.71/0.75 % (20411)Instructions burned: 100 (million)
% 2.71/0.75 % (20411)------------------------------
% 2.71/0.75 % (20411)------------------------------
% 2.71/0.75 % (20403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.75 % (20403)Termination reason: Unknown
% 2.71/0.75 % (20403)Termination phase: Saturation
% 2.71/0.75
% 2.71/0.75 % (20403)Memory used [KB]: 6908
% 2.71/0.75 % (20403)Time elapsed: 0.296 s
% 2.71/0.75 % (20403)Instructions burned: 51 (million)
% 2.71/0.75 % (20403)------------------------------
% 2.71/0.75 % (20403)------------------------------
% 2.71/0.75 % (20410)Instruction limit reached!
% 2.71/0.75 % (20410)------------------------------
% 2.71/0.75 % (20410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.75 % (20417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.75 % (20417)Termination reason: Unknown
% 2.71/0.75 % (20417)Termination phase: Finite model building preprocessing
% 2.71/0.75
% 2.71/0.75 % (20417)Memory used [KB]: 7547
% 2.71/0.75 % (20417)Time elapsed: 0.037 s
% 2.71/0.75 % (20417)Instructions burned: 59 (million)
% 2.71/0.75 % (20417)------------------------------
% 2.71/0.75 % (20417)------------------------------
% 2.71/0.75 % (20410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.75 % (20410)Termination reason: Unknown
% 2.71/0.75 % (20410)Termination phase: Saturation
% 2.71/0.75
% 2.71/0.75 % (20410)Memory used [KB]: 6908
% 2.71/0.75 % (20410)Time elapsed: 0.037 s
% 2.71/0.75 % (20410)Instructions burned: 51 (million)
% 2.71/0.75 % (20410)------------------------------
% 2.71/0.75 % (20410)------------------------------
% 2.71/0.76 % (20409)Instruction limit reached!
% 2.71/0.76 % (20409)------------------------------
% 2.71/0.76 % (20409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.76 % (20409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.76 % (20409)Termination reason: Unknown
% 2.71/0.76 % (20409)Termination phase: Saturation
% 2.71/0.76
% 2.71/0.76 % (20409)Memory used [KB]: 1663
% 2.71/0.76 % (20409)Time elapsed: 0.313 s
% 2.71/0.76 % (20409)Instructions burned: 51 (million)
% 2.71/0.76 % (20409)------------------------------
% 2.71/0.76 % (20409)------------------------------
% 3.04/0.76 % (20426)Instruction limit reached!
% 3.04/0.76 % (20426)------------------------------
% 3.04/0.76 % (20426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.77 % (20426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.77 % (20426)Termination reason: Unknown
% 3.04/0.77 % (20426)Termination phase: Saturation
% 3.04/0.77
% 3.04/0.77 % (20426)Memory used [KB]: 6780
% 3.04/0.77 % (20426)Time elapsed: 0.051 s
% 3.04/0.77 % (20426)Instructions burned: 68 (million)
% 3.04/0.77 % (20426)------------------------------
% 3.04/0.77 % (20426)------------------------------
% 3.04/0.78 % (20401)Instruction limit reached!
% 3.04/0.78 % (20401)------------------------------
% 3.04/0.78 % (20401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.78 % (20401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.78 % (20401)Termination reason: Unknown
% 3.04/0.78 % (20401)Termination phase: Saturation
% 3.04/0.78
% 3.04/0.78 % (20401)Memory used [KB]: 6652
% 3.04/0.78 % (20401)Time elapsed: 0.039 s
% 3.04/0.78 % (20401)Instructions burned: 51 (million)
% 3.04/0.78 % (20401)------------------------------
% 3.04/0.78 % (20401)------------------------------
% 3.04/0.79 % (20414)Instruction limit reached!
% 3.04/0.79 % (20414)------------------------------
% 3.04/0.79 % (20414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.79 % (20414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.79 % (20414)Termination reason: Unknown
% 3.04/0.79 % (20414)Termination phase: Saturation
% 3.04/0.79
% 3.04/0.79 % (20414)Memory used [KB]: 6780
% 3.04/0.79 % (20414)Time elapsed: 0.048 s
% 3.04/0.79 % (20414)Instructions burned: 68 (million)
% 3.04/0.79 % (20414)------------------------------
% 3.04/0.79 % (20414)------------------------------
% 3.04/0.81 % (20462)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 (2997ds/388Mi)
% 3.04/0.83 % (20416)Instruction limit reached!
% 3.04/0.83 % (20416)------------------------------
% 3.04/0.83 % (20416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.83 % (20416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.83 % (20416)Termination reason: Unknown
% 3.04/0.83 % (20416)Termination phase: Saturation
% 3.04/0.83
% 3.04/0.83 % (20416)Memory used [KB]: 6780
% 3.04/0.83 % (20416)Time elapsed: 0.386 s
% 3.04/0.83 % (20416)Instructions burned: 100 (million)
% 3.04/0.83 % (20416)------------------------------
% 3.04/0.83 % (20416)------------------------------
% 3.41/0.85 % (20419)Instruction limit reached!
% 3.41/0.85 % (20419)------------------------------
% 3.41/0.85 % (20419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.85 % (20419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.85 % (20419)Termination reason: Unknown
% 3.41/0.85 % (20419)Termination phase: Saturation
% 3.41/0.85
% 3.41/0.85 % (20419)Memory used [KB]: 1535
% 3.41/0.85 % (20419)Time elapsed: 0.419 s
% 3.41/0.85 % (20419)Instructions burned: 100 (million)
% 3.41/0.85 % (20419)------------------------------
% 3.41/0.85 % (20419)------------------------------
% 3.41/0.87 % (20412)Instruction limit reached!
% 3.41/0.87 % (20412)------------------------------
% 3.41/0.87 % (20412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.87 % (20412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.87 % (20412)Termination reason: Unknown
% 3.41/0.87 % (20412)Termination phase: Saturation
% 3.41/0.87
% 3.41/0.87 % (20412)Memory used [KB]: 6908
% 3.41/0.87 % (20412)Time elapsed: 0.418 s
% 3.41/0.87 % (20412)Instructions burned: 102 (million)
% 3.41/0.87 % (20412)------------------------------
% 3.41/0.87 % (20412)------------------------------
% 3.41/0.88 % (20418)Instruction limit reached!
% 3.41/0.88 % (20418)------------------------------
% 3.41/0.88 % (20418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.88 % (20418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.88 % (20418)Termination reason: Unknown
% 3.41/0.88 % (20418)Termination phase: Saturation
% 3.41/0.88
% 3.41/0.88 % (20418)Memory used [KB]: 7164
% 3.41/0.88 % (20418)Time elapsed: 0.079 s
% 3.41/0.88 % (20418)Instructions burned: 100 (million)
% 3.41/0.88 % (20418)------------------------------
% 3.41/0.88 % (20418)------------------------------
% 3.58/0.90 % (20463)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 (2996ds/211Mi)
% 3.58/0.92 % (20475)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 (2995ds/90Mi)
% 3.58/0.92 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.58/0.92 % (20474)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 (2995ds/981Mi)
% 3.58/0.92 % (20465)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 (2996ds/90Mi)
% 3.58/0.93 TRYING [6]
% 3.58/0.93 % (20413)Instruction limit reached!
% 3.58/0.93 % (20413)------------------------------
% 3.58/0.93 % (20413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.93 % (20413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.93 % (20413)Termination reason: Unknown
% 3.58/0.93 % (20413)Termination phase: Saturation
% 3.58/0.93
% 3.58/0.93 % (20413)Memory used [KB]: 6908
% 3.58/0.93 % (20413)Time elapsed: 0.484 s
% 3.58/0.93 % (20413)Instructions burned: 99 (million)
% 3.58/0.93 % (20413)------------------------------
% 3.58/0.93 % (20413)------------------------------
% 3.58/0.93 % (20467)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.76/0.94 % (20477)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.76/0.94 % (20466)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.82/0.97 % (20479)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.82/0.97 % (20468)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 (2996ds/747Mi)
% 3.82/1.00 % (20476)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.82/1.00 % (20427)Instruction limit reached!
% 3.82/1.00 % (20427)------------------------------
% 3.82/1.00 % (20427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.82/1.00 % (20427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.82/1.00 % (20427)Termination reason: Unknown
% 3.82/1.00 % (20427)Termination phase: Saturation
% 3.82/1.00
% 3.82/1.00 % (20427)Memory used [KB]: 2046
% 3.82/1.00 % (20427)Time elapsed: 0.564 s
% 3.82/1.00 % (20427)Instructions burned: 177 (million)
% 3.82/1.00 % (20427)------------------------------
% 3.82/1.00 % (20427)------------------------------
% 3.82/1.01 % (20471)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 (2996ds/655Mi)
% 3.99/1.03 % (20472)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 (2996ds/68Mi)
% 3.99/1.04 % (20421)Instruction limit reached!
% 3.99/1.04 % (20421)------------------------------
% 3.99/1.04 % (20421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.99/1.04 % (20421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.99/1.04 % (20421)Termination reason: Unknown
% 3.99/1.04 % (20421)Termination phase: Saturation
% 3.99/1.04
% 3.99/1.04 % (20421)Memory used [KB]: 7419
% 3.99/1.04 % (20421)Time elapsed: 0.112 s
% 3.99/1.04 % (20421)Instructions burned: 138 (million)
% 3.99/1.04 % (20421)------------------------------
% 3.99/1.04 % (20421)------------------------------
% 3.99/1.05 % (20473)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 (2996ds/940Mi)
% 4.11/1.06 % (20420)Instruction limit reached!
% 4.11/1.06 % (20420)------------------------------
% 4.11/1.06 % (20420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.06 % (20420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.06 % (20420)Termination reason: Unknown
% 4.11/1.06 % (20420)Termination phase: Saturation
% 4.11/1.06
% 4.11/1.06 % (20420)Memory used [KB]: 7547
% 4.11/1.06 % (20420)Time elapsed: 0.134 s
% 4.11/1.06 % (20420)Instructions burned: 177 (million)
% 4.11/1.06 % (20420)------------------------------
% 4.11/1.06 % (20420)------------------------------
% 4.11/1.06 % (20492)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.11/1.06 % (20485)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.11/1.07 % (20480)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.11/1.07 % (20488)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 4.11/1.08 % (20475)Instruction limit reached!
% 4.11/1.08 % (20475)------------------------------
% 4.11/1.08 % (20475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.09 % (20491)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 (2994ds/68Mi)
% 4.11/1.09 % (20424)First to succeed.
% 4.11/1.10 % (20475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.10 % (20475)Termination reason: Unknown
% 4.11/1.10 % (20475)Termination phase: Saturation
% 4.11/1.10
% 4.11/1.10 % (20475)Memory used [KB]: 6652
% 4.11/1.10 % (20475)Time elapsed: 0.267 s
% 4.11/1.10 % (20475)Instructions burned: 90 (million)
% 4.11/1.10 % (20475)------------------------------
% 4.11/1.10 % (20475)------------------------------
% 4.11/1.10 % (20465)Instruction limit reached!
% 4.11/1.10 % (20465)------------------------------
% 4.11/1.10 % (20465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.10 % (20465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.10 % (20465)Termination reason: Unknown
% 4.11/1.10 % (20465)Termination phase: Saturation
% 4.11/1.10
% 4.11/1.10 % (20465)Memory used [KB]: 6652
% 4.11/1.10 % (20465)Time elapsed: 0.339 s
% 4.11/1.10 % (20465)Instructions burned: 90 (million)
% 4.11/1.10 % (20465)------------------------------
% 4.11/1.10 % (20465)------------------------------
% 4.11/1.11 % (20498)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.11/1.11 % (20501)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 4.11/1.13 % (20472)Instruction limit reached!
% 4.11/1.13 % (20472)------------------------------
% 4.11/1.13 % (20472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.13 % (20472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.13 % (20472)Termination reason: Unknown
% 4.11/1.13 % (20472)Termination phase: Saturation
% 4.11/1.13
% 4.11/1.13 % (20472)Memory used [KB]: 6780
% 4.11/1.13 % (20472)Time elapsed: 0.032 s
% 4.11/1.13 % (20472)Instructions burned: 69 (million)
% 4.11/1.13 % (20472)------------------------------
% 4.11/1.13 % (20472)------------------------------
% 6.14/1.16 % (20424)Refutation found. Thanks to Tanya!
% 6.14/1.16 % SZS status Unsatisfiable for theBenchmark
% 6.14/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.17 % (20424)------------------------------
% 6.14/1.17 % (20424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.17 % (20424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.17 % (20424)Termination reason: Refutation
% 6.14/1.17
% 6.14/1.17 % (20424)Memory used [KB]: 9338
% 6.14/1.17 % (20424)Time elapsed: 0.352 s
% 6.14/1.17 % (20424)Instructions burned: 298 (million)
% 6.14/1.17 % (20424)------------------------------
% 6.14/1.17 % (20424)------------------------------
% 6.14/1.17 % (20399)Success in time 0.827 s
%------------------------------------------------------------------------------