TSTP Solution File: NUM376+1.010 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 : Sun May  5 08:09:52 EDT 2024

% Result   : Unsatisfiable 0.80s 0.79s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  291
% Syntax   : Number of formulae    :  587 ( 292 unt;   0 def)
%            Number of atoms       : 3132 (2551 equ)
%            Maximal formula atoms :  442 (   5 avg)
%            Number of connectives : 4229 (1684   ~;1577   |; 800   &)
%                                         ( 167 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  204 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  170 ( 168 usr; 168 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :    4 (   0   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1418,plain,
    $false,
    inference(avatar_sat_refutation,[],[f486,f531,f576,f581,f586,f591,f596,f601,f606,f611,f616,f621,f626,f631,f636,f641,f646,f651,f656,f661,f666,f671,f676,f681,f686,f691,f696,f701,f706,f711,f716,f721,f726,f731,f736,f741,f746,f751,f756,f761,f766,f771,f776,f781,f786,f791,f796,f801,f806,f811,f816,f821,f826,f831,f836,f841,f846,f851,f856,f861,f866,f871,f876,f881,f886,f891,f896,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f951,f956,f961,f966,f971,f976,f981,f986,f991,f996,f1001,f1006,f1011,f1016,f1021,f1026,f1031,f1036,f1041,f1046,f1051,f1056,f1061,f1066,f1071,f1076,f1081,f1086,f1091,f1096,f1101,f1106,f1111,f1116,f1121,f1126,f1131,f1136,f1141,f1146,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1276,f1281,f1286,f1291,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417]) ).

fof(f1417,plain,
    ( n1 != sum(n5,n7)
    | n2 != sum(n0,n2)
    | n5 != pred(n6)
    | succ(n1) != n2
    | n7 != sum(n5,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n6 != sK0
    | succ(n6) != n7
    | n7 != sum(n0,n7)
    | n3 != sum(n7,n7)
    | n3 != sum(n1,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1416,plain,
    ( n10 != sum(n5,n5)
    | n10 != sum(n3,n7)
    | n5 != pred(n6)
    | n6 != sK0
    | succ(n6) != n7
    | n1 != sum(n5,n7)
    | n3 != pred(n4)
    | n4 != sK1
    | succ(n4) != n5
    | n8 != sum(n3,n5)
    | n9 != sum(n1,n8)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1415,plain,
    ( n5 != sum(n7,n9)
    | n8 != sum(n3,n5)
    | n7 != pred(n8)
    | succ(n4) != n5
    | n1 != sum(n7,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n8 != sK0
    | succ(n8) != n9
    | n1 != sum(n3,n9)
    | n2 != sum(n1,n1)
    | n2 != sum(n5,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1414,plain,
    ( n5 != sum(n7,n9)
    | n2 != sum(n0,n2)
    | n7 != pred(n8)
    | succ(n1) != n2
    | n9 != sum(n7,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n8 != sK0
    | succ(n8) != n9
    | n9 != sum(n0,n9)
    | n7 != sum(n9,n9)
    | n7 != sum(n5,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1413,plain,
    ( n1 != sK0
    | n1 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1412,plain,
    ( n2 != sum(n0,n2)
    | n8 != sum(n3,n5)
    | n0 != pred(n1)
    | succ(n4) != n5
    | n5 != sum(n0,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n1 != sK0
    | succ(n1) != n2
    | n5 != sum(n3,n2)
    | n10 != sum(n5,n5)
    | n10 != sum(n2,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1411,plain,
    ( n2 != sum(n0,n2)
    | n6 != sum(n2,n4)
    | n0 != pred(n1)
    | succ(n3) != n4
    | n4 != sum(n0,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n1 != sK0
    | succ(n1) != n2
    | n4 != sum(n2,n2)
    | n8 != sum(n4,n4)
    | n8 != sum(n2,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1410,plain,
    ( n5 != sum(n7,n9)
    | n6 != sum(n2,n4)
    | n7 != pred(n8)
    | succ(n3) != n4
    | n0 != sum(n7,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n8 != sK0
    | succ(n8) != n9
    | n0 != sum(n2,n9)
    | n0 != sum(n0,n0)
    | n0 != sum(n5,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1409,plain,
    ( n1 != sum(n5,n7)
    | n6 != sum(n2,n4)
    | n5 != pred(n6)
    | succ(n3) != n4
    | n9 != sum(n5,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n6 != sK0
    | succ(n6) != n7
    | n9 != sum(n2,n7)
    | n7 != sum(n9,n9)
    | n7 != sum(n1,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1408,plain,
    ( n8 != sum(n3,n5)
    | n6 != sum(n2,n4)
    | n3 != pred(n4)
    | succ(n3) != n4
    | n7 != sum(n3,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n4 != sK0
    | succ(n4) != n5
    | n7 != sum(n2,n5)
    | n3 != sum(n7,n7)
    | n3 != sum(n8,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1407,plain,
    ( n8 != sum(n3,n5)
    | n2 != sum(n0,n2)
    | n3 != pred(n4)
    | succ(n1) != n2
    | n5 != sum(n3,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n4 != sK0
    | succ(n4) != n5
    | n5 != sum(n0,n5)
    | n10 != sum(n5,n5)
    | n10 != sum(n8,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1406,plain,
    ( n4 != sK0
    | n4 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1405,plain,
    ( n10 != sum(n7,n3)
    | n10 != sum(n1,n9)
    | n7 != pred(n8)
    | n8 != sK0
    | succ(n8) != n9
    | n5 != sum(n7,n9)
    | n1 != pred(n2)
    | n2 != sK1
    | succ(n2) != n3
    | n4 != sum(n1,n3)
    | n9 != sum(n5,n4)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1404,plain,
    ( n2 != sum(n0,n2)
    | n4 != sum(n1,n3)
    | n0 != pred(n1)
    | succ(n2) != n3
    | n3 != sum(n0,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n1 != sK0
    | succ(n1) != n2
    | n3 != sum(n1,n2)
    | n6 != sum(n3,n3)
    | n6 != sum(n2,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1403,plain,
    ( n1 != sum(n5,n7)
    | n4 != sum(n1,n3)
    | n5 != pred(n6)
    | succ(n2) != n3
    | n8 != sum(n5,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n6 != sK0
    | succ(n6) != n7
    | n8 != sum(n1,n7)
    | n5 != sum(n8,n8)
    | n5 != sum(n1,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1402,plain,
    ( n8 != sum(n3,n5)
    | n4 != sum(n1,n3)
    | n3 != pred(n4)
    | succ(n2) != n3
    | n6 != sum(n3,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n4 != sK0
    | succ(n4) != n5
    | n6 != sum(n1,n5)
    | n1 != sum(n6,n6)
    | n1 != sum(n8,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1401,plain,
    ( n4 != sum(n1,n3)
    | n8 != sum(n3,n5)
    | n1 != pred(n2)
    | succ(n4) != n5
    | n6 != sum(n1,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n2 != sK0
    | succ(n2) != n3
    | n6 != sum(n3,n3)
    | n1 != sum(n6,n6)
    | n1 != sum(n4,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1400,plain,
    ( n4 != sum(n1,n3)
    | n6 != sum(n2,n4)
    | n1 != pred(n2)
    | succ(n3) != n4
    | n5 != sum(n1,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n2 != sK0
    | succ(n2) != n3
    | n5 != sum(n2,n3)
    | n10 != sum(n5,n5)
    | n10 != sum(n4,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1399,plain,
    ( n2 != sK0
    | n2 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1398,plain,
    ( n4 != sum(n1,n3)
    | n2 != sum(n0,n2)
    | n1 != pred(n2)
    | succ(n1) != n2
    | n3 != sum(n1,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n2 != sK0
    | succ(n2) != n3
    | n3 != sum(n0,n3)
    | n6 != sum(n3,n3)
    | n6 != sum(n4,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1397,plain,
    ( n4 != sum(n1,n3)
    | n10 != sum(n4,n6)
    | n1 != pred(n2)
    | succ(n5) != n6
    | n7 != sum(n1,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n2 != sK0
    | succ(n2) != n3
    | n7 != sum(n4,n3)
    | n3 != sum(n7,n7)
    | n3 != sum(n4,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1396,plain,
    ( n2 != sum(n0,n2)
    | n10 != sum(n4,n6)
    | n0 != pred(n1)
    | succ(n5) != n6
    | n6 != sum(n0,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n1 != sK0
    | succ(n1) != n2
    | n6 != sum(n4,n2)
    | n1 != sum(n6,n6)
    | n1 != sum(n2,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1395,plain,
    ( n5 != sum(n7,n9)
    | n10 != sum(n4,n6)
    | n7 != pred(n8)
    | succ(n5) != n6
    | n2 != sum(n7,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n8 != sK0
    | succ(n8) != n9
    | n2 != sum(n4,n9)
    | n4 != sum(n2,n2)
    | n4 != sum(n5,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1394,plain,
    ( n1 != sum(n5,n7)
    | n10 != sum(n4,n6)
    | n5 != pred(n6)
    | succ(n5) != n6
    | n0 != sum(n5,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n6 != sK0
    | succ(n6) != n7
    | n0 != sum(n4,n7)
    | n0 != sum(n0,n0)
    | n0 != sum(n1,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1393,plain,
    ( n8 != sum(n3,n5)
    | n10 != sum(n4,n6)
    | n3 != pred(n4)
    | succ(n5) != n6
    | n9 != sum(n3,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n4 != sK0
    | succ(n4) != n5
    | n9 != sum(n4,n5)
    | n7 != sum(n9,n9)
    | n7 != sum(n8,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1392,plain,
    ( n2 != sum(n10,n3)
    | n2 != sum(n1,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n1 != pred(n2)
    | n2 != sK1
    | succ(n2) != n3
    | n4 != sum(n1,n3)
    | n4 != sum(n0,n4)
    | n4 != sum(n2,n2)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1391,plain,
    ( n1 != sum(n10,n2)
    | n1 != sum(n0,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n0 != pred(n1)
    | n1 != sK1
    | succ(n1) != n2
    | n2 != sum(n0,n2)
    | n2 != sum(n1,n1)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1390,plain,
    ( n5 != sum(n10,n6)
    | n5 != sum(n4,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n4 != pred(n5)
    | n5 != sK1
    | succ(n5) != n6
    | n10 != sum(n4,n6)
    | n10 != sum(n0,n10)
    | n10 != sum(n5,n5)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1389,plain,
    ( n3 != sum(n10,n4)
    | n3 != sum(n2,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n2 != pred(n3)
    | n3 != sK1
    | succ(n3) != n4
    | n6 != sum(n2,n4)
    | n6 != sum(n0,n6)
    | n6 != sum(n3,n3)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1388,plain,
    ( n4 != sum(n10,n5)
    | n4 != sum(n3,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n3 != pred(n4)
    | n4 != sK1
    | succ(n4) != n5
    | n8 != sum(n3,n5)
    | n8 != sum(n0,n8)
    | n8 != sum(n4,n4)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1387,plain,
    ( n2 != sum(n0,n2)
    | n9 != sum(n9,n0)
    | n0 != pred(n1)
    | n0 != succ(n10)
    | n10 != sK1
    | n9 != pred(n10)
    | n1 != sK0
    | succ(n1) != n2
    | n0 != sum(n9,n2)
    | n0 != sum(n0,n0)
    | n0 != sum(n2,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1386,plain,
    ( n10 != sum(n10,n0)
    | n10 != sum(n9,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n9 != pred(n10)
    | n10 != sK1
    | n0 != succ(n10)
    | n9 != sum(n9,n0)
    | n9 != sum(n0,n9)
    | n9 != sum(n10,n10)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1385,plain,
    ( n1 != sum(n5,n7)
    | n9 != sum(n9,n0)
    | n5 != pred(n6)
    | n0 != succ(n10)
    | n5 != sum(n5,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n6 != sK0
    | succ(n6) != n7
    | n5 != sum(n9,n7)
    | n10 != sum(n5,n5)
    | n10 != sum(n1,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1384,plain,
    ( n5 != sum(n7,n9)
    | n9 != sum(n9,n0)
    | n7 != pred(n8)
    | n0 != succ(n10)
    | n7 != sum(n7,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n8 != sK0
    | succ(n8) != n9
    | n7 != sum(n9,n9)
    | n3 != sum(n7,n7)
    | n3 != sum(n5,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1383,plain,
    ( n4 != sum(n1,n3)
    | n9 != sum(n9,n0)
    | n1 != pred(n2)
    | n0 != succ(n10)
    | n1 != sum(n1,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n2 != sK0
    | succ(n2) != n3
    | n1 != sum(n9,n3)
    | n2 != sum(n1,n1)
    | n2 != sum(n4,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1382,plain,
    ( n8 != sum(n3,n5)
    | n9 != sum(n9,n0)
    | n3 != pred(n4)
    | n0 != succ(n10)
    | n3 != sum(n3,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n4 != sK0
    | succ(n4) != n5
    | n3 != sum(n9,n5)
    | n6 != sum(n3,n3)
    | n6 != sum(n8,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1381,plain,
    ( n7 != sum(n8,n10)
    | n9 != sum(n9,n0)
    | n8 != pred(n9)
    | n0 != succ(n10)
    | n8 != sum(n8,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n9 != sK0
    | succ(n9) != n10
    | n8 != sum(n9,n10)
    | n5 != sum(n8,n8)
    | n5 != sum(n7,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1380,plain,
    ( n7 != sum(n8,n10)
    | n8 != sum(n3,n5)
    | n8 != pred(n9)
    | succ(n4) != n5
    | n2 != sum(n8,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n9 != sK0
    | succ(n9) != n10
    | n2 != sum(n3,n10)
    | n4 != sum(n2,n2)
    | n4 != sum(n7,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1379,plain,
    ( n7 != sum(n8,n10)
    | n4 != sum(n1,n3)
    | n8 != pred(n9)
    | succ(n2) != n3
    | n0 != sum(n8,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n9 != sK0
    | succ(n9) != n10
    | n0 != sum(n1,n10)
    | n0 != sum(n0,n0)
    | n0 != sum(n7,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1378,plain,
    ( n7 != sum(n8,n10)
    | n2 != sum(n0,n2)
    | n8 != pred(n9)
    | succ(n1) != n2
    | n10 != sum(n8,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n9 != sK0
    | succ(n9) != n10
    | n10 != sum(n0,n10)
    | n9 != sum(n10,n10)
    | n9 != sum(n7,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1377,plain,
    ( n7 != sum(n8,n10)
    | n6 != sum(n2,n4)
    | n8 != pred(n9)
    | succ(n3) != n4
    | n1 != sum(n8,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n9 != sK0
    | succ(n9) != n10
    | n1 != sum(n2,n10)
    | n2 != sum(n1,n1)
    | n2 != sum(n7,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1376,plain,
    ( n7 != sum(n8,n10)
    | n10 != sum(n4,n6)
    | n8 != pred(n9)
    | succ(n5) != n6
    | n3 != sum(n8,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n9 != sK0
    | succ(n9) != n10
    | n3 != sum(n4,n10)
    | n6 != sum(n3,n3)
    | n6 != sum(n7,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1375,plain,
    ( n5 != sum(n7,n9)
    | n7 != sum(n8,n10)
    | n7 != pred(n8)
    | succ(n9) != n10
    | n6 != sum(n7,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n8 != sK0
    | succ(n8) != n9
    | n6 != sum(n8,n9)
    | n1 != sum(n6,n6)
    | n1 != sum(n5,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1374,plain,
    ( n4 != sum(n1,n3)
    | n7 != sum(n8,n10)
    | n1 != pred(n2)
    | succ(n9) != n10
    | n0 != sum(n1,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n2 != sK0
    | succ(n2) != n3
    | n0 != sum(n8,n3)
    | n0 != sum(n0,n0)
    | n0 != sum(n4,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1373,plain,
    ( n9 != sK0
    | n9 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1372,plain,
    ( n9 != sum(n10,n10)
    | n9 != sum(n8,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n8 != pred(n9)
    | n9 != sK1
    | succ(n9) != n10
    | n7 != sum(n8,n10)
    | n7 != sum(n0,n7)
    | n7 != sum(n9,n9)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1371,plain,
    ( n1 != sum(n5,n7)
    | n7 != sum(n8,n10)
    | n5 != pred(n6)
    | succ(n9) != n10
    | n4 != sum(n5,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n6 != sK0
    | succ(n6) != n7
    | n4 != sum(n8,n7)
    | n8 != sum(n4,n4)
    | n8 != sum(n1,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1370,plain,
    ( n2 != sum(n0,n2)
    | n7 != sum(n8,n10)
    | n0 != pred(n1)
    | succ(n9) != n10
    | n10 != sum(n0,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n1 != sK0
    | succ(n1) != n2
    | n10 != sum(n8,n2)
    | n9 != sum(n10,n10)
    | n9 != sum(n2,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1369,plain,
    ( n8 != sum(n3,n5)
    | n7 != sum(n8,n10)
    | n3 != pred(n4)
    | succ(n9) != n10
    | n2 != sum(n3,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n4 != sK0
    | succ(n4) != n5
    | n2 != sum(n8,n5)
    | n4 != sum(n2,n2)
    | n4 != sum(n8,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1368,plain,
    ( n3 != sum(n6,n8)
    | n9 != sum(n9,n0)
    | n6 != pred(n7)
    | n0 != succ(n10)
    | n6 != sum(n6,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n7 != sK0
    | succ(n7) != n8
    | n6 != sum(n9,n8)
    | n1 != sum(n6,n6)
    | n1 != sum(n3,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1367,plain,
    ( n3 != sum(n6,n8)
    | n8 != sum(n3,n5)
    | n6 != pred(n7)
    | succ(n4) != n5
    | n0 != sum(n6,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n7 != sK0
    | succ(n7) != n8
    | n0 != sum(n0,n0)
    | n0 != sum(n3,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1366,plain,
    ( n10 != sum(n6,n4)
    | n10 != sum(n2,n8)
    | n6 != pred(n7)
    | n7 != sK0
    | succ(n7) != n8
    | n3 != sum(n6,n8)
    | n2 != pred(n3)
    | n3 != sK1
    | succ(n3) != n4
    | n6 != sum(n2,n4)
    | n9 != sum(n3,n6)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1365,plain,
    ( n3 != sum(n6,n8)
    | n2 != sum(n0,n2)
    | n6 != pred(n7)
    | succ(n1) != n2
    | n8 != sum(n6,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n7 != sK0
    | succ(n7) != n8
    | n8 != sum(n0,n8)
    | n5 != sum(n8,n8)
    | n5 != sum(n3,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1364,plain,
    ( n3 != sum(n6,n8)
    | n10 != sum(n4,n6)
    | n6 != pred(n7)
    | succ(n5) != n6
    | n1 != sum(n6,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n7 != sK0
    | succ(n7) != n8
    | n1 != sum(n4,n8)
    | n2 != sum(n1,n1)
    | n2 != sum(n3,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1363,plain,
    ( n3 != sum(n6,n8)
    | n7 != sum(n8,n10)
    | n6 != pred(n7)
    | succ(n9) != n10
    | n5 != sum(n6,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n7 != sK0
    | succ(n7) != n8
    | n5 != sum(n8,n8)
    | n10 != sum(n5,n5)
    | n10 != sum(n3,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1362,plain,
    ( n3 != sum(n6,n8)
    | n4 != sum(n1,n3)
    | n6 != pred(n7)
    | succ(n2) != n3
    | n9 != sum(n6,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n7 != sK0
    | succ(n7) != n8
    | n9 != sum(n1,n8)
    | n7 != sum(n9,n9)
    | n7 != sum(n3,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1361,plain,
    ( n8 != sum(n10,n9)
    | n8 != sum(n7,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n7 != pred(n8)
    | n8 != sK1
    | succ(n8) != n9
    | n5 != sum(n7,n9)
    | n5 != sum(n0,n5)
    | n5 != sum(n8,n8)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1360,plain,
    ( n1 != sum(n5,n7)
    | n5 != sum(n7,n9)
    | n5 != pred(n6)
    | succ(n8) != n9
    | n3 != sum(n5,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n6 != sK0
    | succ(n6) != n7
    | n3 != sum(n7,n7)
    | n6 != sum(n3,n3)
    | n6 != sum(n1,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1359,plain,
    ( n2 != sum(n0,n2)
    | n5 != sum(n7,n9)
    | n0 != pred(n1)
    | succ(n8) != n9
    | n9 != sum(n0,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n1 != sK0
    | succ(n1) != n2
    | n9 != sum(n7,n2)
    | n7 != sum(n9,n9)
    | n7 != sum(n2,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1358,plain,
    ( n7 != sum(n8,n10)
    | n5 != sum(n7,n9)
    | n8 != pred(n9)
    | succ(n8) != n9
    | n6 != sum(n8,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n9 != sK0
    | succ(n9) != n10
    | n6 != sum(n7,n10)
    | n1 != sum(n6,n6)
    | n1 != sum(n7,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1357,plain,
    ( n10 != sum(n1,n9)
    | n10 != sum(n7,n3)
    | n1 != pred(n2)
    | n2 != sK0
    | succ(n2) != n3
    | n4 != sum(n1,n3)
    | n7 != pred(n8)
    | n8 != sK1
    | succ(n8) != n9
    | n5 != sum(n7,n9)
    | n9 != sum(n4,n5)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1356,plain,
    ( n8 != sK0
    | n8 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1355,plain,
    ( n3 != sum(n6,n8)
    | n5 != sum(n7,n9)
    | n6 != pred(n7)
    | succ(n8) != n9
    | n4 != sum(n6,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n7 != sK0
    | succ(n7) != n8
    | n4 != sum(n7,n8)
    | n8 != sum(n4,n4)
    | n8 != sum(n3,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1354,plain,
    ( n8 != sum(n3,n5)
    | n5 != sum(n7,n9)
    | n3 != pred(n4)
    | succ(n8) != n9
    | n1 != sum(n3,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n4 != sK0
    | succ(n4) != n5
    | n1 != sum(n7,n5)
    | n2 != sum(n1,n1)
    | n2 != sum(n8,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1353,plain,
    ( n10 != sum(n4,n6)
    | n7 != sum(n8,n10)
    | n4 != pred(n5)
    | succ(n9) != n10
    | n3 != sum(n4,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n5 != sK0
    | succ(n5) != n6
    | n3 != sum(n8,n6)
    | n6 != sum(n3,n3)
    | n6 != sum(n10,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1352,plain,
    ( n10 != sum(n4,n6)
    | n9 != sum(n9,n0)
    | n4 != pred(n5)
    | n0 != succ(n10)
    | n4 != sum(n4,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n5 != sK0
    | succ(n5) != n6
    | n4 != sum(n9,n6)
    | n8 != sum(n4,n4)
    | n8 != sum(n10,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1351,plain,
    ( n10 != sum(n4,n6)
    | n8 != sum(n3,n5)
    | n4 != pred(n5)
    | succ(n4) != n5
    | n9 != sum(n4,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n5 != sK0
    | succ(n5) != n6
    | n9 != sum(n3,n6)
    | n7 != sum(n9,n9)
    | n7 != sum(n10,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1350,plain,
    ( n10 != sum(n4,n6)
    | n6 != sum(n2,n4)
    | n4 != pred(n5)
    | succ(n3) != n4
    | n8 != sum(n4,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n5 != sK0
    | succ(n5) != n6
    | n8 != sum(n2,n6)
    | n5 != sum(n8,n8)
    | n5 != sum(n10,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1349,plain,
    ( n5 != sK0
    | n5 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1348,plain,
    ( n10 != sum(n4,n6)
    | n4 != sum(n1,n3)
    | n4 != pred(n5)
    | succ(n2) != n3
    | n7 != sum(n4,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n5 != sK0
    | succ(n5) != n6
    | n7 != sum(n1,n6)
    | n3 != sum(n7,n7)
    | n3 != sum(n10,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1347,plain,
    ( n10 != sum(n4,n6)
    | n2 != sum(n0,n2)
    | n4 != pred(n5)
    | succ(n1) != n2
    | n6 != sum(n4,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n5 != sK0
    | succ(n5) != n6
    | n6 != sum(n0,n6)
    | n1 != sum(n6,n6)
    | n1 != sum(n10,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1346,plain,
    ( n10 != sum(n4,n6)
    | n5 != sum(n7,n9)
    | n4 != pred(n5)
    | succ(n8) != n9
    | n2 != sum(n4,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n5 != sK0
    | succ(n5) != n6
    | n2 != sum(n7,n6)
    | n4 != sum(n2,n2)
    | n4 != sum(n10,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1345,plain,
    ( n7 != sum(n10,n8)
    | n7 != sum(n6,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n6 != pred(n7)
    | n7 != sK1
    | succ(n7) != n8
    | n3 != sum(n6,n8)
    | n3 != sum(n0,n3)
    | n3 != sum(n7,n7)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1344,plain,
    ( n7 != sK0
    | n7 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1343,plain,
    ( n4 != sum(n1,n3)
    | n3 != sum(n6,n8)
    | n1 != pred(n2)
    | succ(n7) != n8
    | n9 != sum(n1,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n2 != sK0
    | succ(n2) != n3
    | n9 != sum(n6,n3)
    | n7 != sum(n9,n9)
    | n7 != sum(n4,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1342,plain,
    ( n1 != sum(n5,n7)
    | n3 != sum(n6,n8)
    | n5 != pred(n6)
    | succ(n7) != n8
    | n2 != sum(n5,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n6 != sK0
    | succ(n6) != n7
    | n2 != sum(n6,n7)
    | n4 != sum(n2,n2)
    | n4 != sum(n1,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1341,plain,
    ( n5 != sum(n7,n9)
    | n3 != sum(n6,n8)
    | n7 != pred(n8)
    | succ(n7) != n8
    | n4 != sum(n7,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n8 != sK0
    | succ(n8) != n9
    | n4 != sum(n6,n9)
    | n8 != sum(n4,n4)
    | n8 != sum(n5,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1340,plain,
    ( n2 != sum(n0,n2)
    | n3 != sum(n6,n8)
    | n0 != pred(n1)
    | succ(n7) != n8
    | n8 != sum(n0,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n1 != sK0
    | succ(n1) != n2
    | n8 != sum(n6,n2)
    | n5 != sum(n8,n8)
    | n5 != sum(n2,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1339,plain,
    ( n10 != sum(n4,n6)
    | n3 != sum(n6,n8)
    | n4 != pred(n5)
    | succ(n7) != n8
    | n1 != sum(n4,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n5 != sK0
    | succ(n5) != n6
    | n1 != sum(n6,n6)
    | n2 != sum(n1,n1)
    | n2 != sum(n10,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1338,plain,
    ( n7 != sum(n8,n10)
    | n3 != sum(n6,n8)
    | n8 != pred(n9)
    | succ(n7) != n8
    | n5 != sum(n8,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n9 != sK0
    | succ(n9) != n10
    | n5 != sum(n6,n10)
    | n10 != sum(n5,n5)
    | n10 != sum(n7,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1337,plain,
    ( n8 != sum(n3,n5)
    | n3 != sum(n6,n8)
    | n3 != pred(n4)
    | succ(n7) != n8
    | n0 != sum(n3,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n4 != sK0
    | succ(n4) != n5
    | n0 != sum(n6,n5)
    | n0 != sum(n0,n0)
    | n0 != sum(n8,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1336,plain,
    ( n6 != sum(n2,n4)
    | n10 != sum(n4,n6)
    | n2 != pred(n3)
    | succ(n5) != n6
    | n8 != sum(n2,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n3 != sK0
    | succ(n3) != n4
    | n8 != sum(n4,n4)
    | n5 != sum(n8,n8)
    | n5 != sum(n6,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1335,plain,
    ( n6 != sum(n2,n4)
    | n2 != sum(n0,n2)
    | n2 != pred(n3)
    | succ(n1) != n2
    | n4 != sum(n2,n2)
    | n1 != sK1
    | n0 != pred(n1)
    | n3 != sK0
    | succ(n3) != n4
    | n4 != sum(n0,n4)
    | n8 != sum(n4,n4)
    | n8 != sum(n6,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1334,plain,
    ( n3 != sK0
    | n3 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1333,plain,
    ( n6 != sum(n2,n4)
    | n7 != sum(n8,n10)
    | n2 != pred(n3)
    | succ(n9) != n10
    | n1 != sum(n2,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n3 != sK0
    | succ(n3) != n4
    | n1 != sum(n8,n4)
    | n2 != sum(n1,n1)
    | n2 != sum(n6,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1332,plain,
    ( n10 != sum(n2,n8)
    | n10 != sum(n6,n4)
    | n2 != pred(n3)
    | n3 != sK0
    | succ(n3) != n4
    | n6 != sum(n2,n4)
    | n6 != pred(n7)
    | n7 != sK1
    | succ(n7) != n8
    | n3 != sum(n6,n8)
    | n9 != sum(n6,n3)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1331,plain,
    ( n6 != sum(n2,n4)
    | n9 != sum(n9,n0)
    | n2 != pred(n3)
    | n0 != succ(n10)
    | n2 != sum(n2,n0)
    | n10 != sK1
    | n9 != pred(n10)
    | n3 != sK0
    | succ(n3) != n4
    | n2 != sum(n9,n4)
    | n4 != sum(n2,n2)
    | n4 != sum(n6,n9)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1330,plain,
    ( n6 != sum(n2,n4)
    | n4 != sum(n1,n3)
    | n2 != pred(n3)
    | succ(n2) != n3
    | n5 != sum(n2,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n3 != sK0
    | succ(n3) != n4
    | n5 != sum(n1,n4)
    | n10 != sum(n5,n5)
    | n10 != sum(n6,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1329,plain,
    ( n6 != sum(n2,n4)
    | n8 != sum(n3,n5)
    | n2 != pred(n3)
    | succ(n4) != n5
    | n7 != sum(n2,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n3 != sK0
    | succ(n3) != n4
    | n7 != sum(n3,n4)
    | n3 != sum(n7,n7)
    | n3 != sum(n6,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1328,plain,
    ( n6 != sum(n2,n4)
    | n5 != sum(n7,n9)
    | n2 != pred(n3)
    | succ(n8) != n9
    | n0 != sum(n2,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n3 != sK0
    | succ(n3) != n4
    | n0 != sum(n7,n4)
    | n0 != sum(n0,n0)
    | n0 != sum(n6,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1327,plain,
    ( n3 != sum(n6,n8)
    | n1 != sum(n5,n7)
    | n6 != pred(n7)
    | succ(n6) != n7
    | n2 != sum(n6,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n7 != sK0
    | succ(n7) != n8
    | n2 != sum(n5,n8)
    | n4 != sum(n2,n2)
    | n4 != sum(n3,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1326,plain,
    ( n10 != sum(n4,n6)
    | n1 != sum(n5,n7)
    | n4 != pred(n5)
    | succ(n6) != n7
    | n0 != sum(n4,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n5 != sK0
    | succ(n5) != n6
    | n0 != sum(n5,n6)
    | n0 != sum(n0,n0)
    | n0 != sum(n10,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1325,plain,
    ( n4 != sum(n1,n3)
    | n1 != sum(n5,n7)
    | n1 != pred(n2)
    | succ(n6) != n7
    | n8 != sum(n1,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n2 != sK0
    | succ(n2) != n3
    | n8 != sum(n5,n3)
    | n5 != sum(n8,n8)
    | n5 != sum(n4,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1324,plain,
    ( n7 != sum(n8,n10)
    | n1 != sum(n5,n7)
    | n8 != pred(n9)
    | succ(n6) != n7
    | n4 != sum(n8,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n9 != sK0
    | succ(n9) != n10
    | n4 != sum(n5,n10)
    | n8 != sum(n4,n4)
    | n8 != sum(n7,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1323,plain,
    ( n2 != sum(n0,n2)
    | n1 != sum(n5,n7)
    | n0 != pred(n1)
    | succ(n6) != n7
    | n7 != sum(n0,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n1 != sK0
    | succ(n1) != n2
    | n7 != sum(n5,n2)
    | n3 != sum(n7,n7)
    | n3 != sum(n2,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1322,plain,
    ( n10 != sum(n3,n7)
    | n10 != sum(n5,n5)
    | n3 != pred(n4)
    | n4 != sK0
    | succ(n4) != n5
    | n8 != sum(n3,n5)
    | n5 != pred(n6)
    | n6 != sK1
    | succ(n6) != n7
    | n1 != sum(n5,n7)
    | n9 != sum(n8,n1)
    | n9 != sum(n10,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1321,plain,
    ( n6 != sum(n10,n7)
    | n6 != sum(n5,n1)
    | n10 != pred(n0)
    | n0 != sK0
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n5 != pred(n6)
    | n6 != sK1
    | succ(n6) != n7
    | n1 != sum(n5,n7)
    | n1 != sum(n0,n1)
    | n1 != sum(n6,n6)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1320,plain,
    ( n6 != sK0
    | n6 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1319,plain,
    ( n5 != sum(n7,n9)
    | n1 != sum(n5,n7)
    | n7 != pred(n8)
    | succ(n6) != n7
    | n3 != sum(n7,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n8 != sK0
    | succ(n8) != n9
    | n3 != sum(n5,n9)
    | n6 != sum(n3,n3)
    | n6 != sum(n5,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1318,plain,
    ( n6 != sum(n2,n4)
    | n1 != sum(n5,n7)
    | n2 != pred(n3)
    | succ(n6) != n7
    | n9 != sum(n2,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n3 != sK0
    | succ(n3) != n4
    | n9 != sum(n5,n4)
    | n7 != sum(n9,n9)
    | n7 != sum(n6,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1317,plain,
    ( n9 != sum(n9,n0)
    | n5 != sum(n7,n9)
    | n9 != pred(n10)
    | succ(n8) != n9
    | n7 != sum(n9,n9)
    | n8 != sK1
    | n7 != pred(n8)
    | n10 != sK0
    | n0 != succ(n10)
    | n7 != sum(n7,n0)
    | n3 != sum(n7,n7)
    | n3 != sum(n9,n5)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1316,plain,
    ( n9 != sum(n9,n0)
    | n3 != sum(n6,n8)
    | n9 != pred(n10)
    | succ(n7) != n8
    | n6 != sum(n9,n8)
    | n7 != sK1
    | n6 != pred(n7)
    | n10 != sK0
    | n0 != succ(n10)
    | n6 != sum(n6,n0)
    | n1 != sum(n6,n6)
    | n1 != sum(n9,n3)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1315,plain,
    ( n9 != sum(n9,n0)
    | n4 != sum(n1,n3)
    | n9 != pred(n10)
    | succ(n2) != n3
    | n1 != sum(n9,n3)
    | n2 != sK1
    | n1 != pred(n2)
    | n10 != sK0
    | n0 != succ(n10)
    | n1 != sum(n1,n0)
    | n2 != sum(n1,n1)
    | n2 != sum(n9,n4)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1314,plain,
    ( n9 != sum(n9,n0)
    | n2 != sum(n0,n2)
    | n9 != pred(n10)
    | succ(n1) != n2
    | n1 != sK1
    | n0 != pred(n1)
    | n10 != sK0
    | n0 != succ(n10)
    | n0 != sum(n0,n0)
    | n0 != sum(n9,n2)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1313,plain,
    ( n9 != sum(n9,n0)
    | n10 != sum(n4,n6)
    | n9 != pred(n10)
    | succ(n5) != n6
    | n4 != sum(n9,n6)
    | n5 != sK1
    | n4 != pred(n5)
    | n10 != sK0
    | n0 != succ(n10)
    | n4 != sum(n4,n0)
    | n8 != sum(n4,n4)
    | n8 != sum(n9,n10)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1312,plain,
    ( n9 != sum(n9,n0)
    | n1 != sum(n5,n7)
    | n9 != pred(n10)
    | succ(n6) != n7
    | n5 != sum(n9,n7)
    | n6 != sK1
    | n5 != pred(n6)
    | n10 != sK0
    | n0 != succ(n10)
    | n5 != sum(n5,n0)
    | n10 != sum(n5,n5)
    | n10 != sum(n9,n1)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1311,plain,
    ( n9 != sum(n9,n0)
    | n8 != sum(n3,n5)
    | n9 != pred(n10)
    | succ(n4) != n5
    | n3 != sum(n9,n5)
    | n4 != sK1
    | n3 != pred(n4)
    | n10 != sK0
    | n0 != succ(n10)
    | n3 != sum(n3,n0)
    | n6 != sum(n3,n3)
    | n6 != sum(n9,n8)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1310,plain,
    ( n9 != sum(n9,n0)
    | n7 != sum(n8,n10)
    | n9 != pred(n10)
    | succ(n9) != n10
    | n8 != sum(n9,n10)
    | n9 != sK1
    | n8 != pred(n9)
    | n10 != sK0
    | n0 != succ(n10)
    | n8 != sum(n8,n0)
    | n5 != sum(n8,n8)
    | n5 != sum(n9,n7)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1309,plain,
    ( n9 != sum(n9,n0)
    | n6 != sum(n2,n4)
    | n9 != pred(n10)
    | succ(n3) != n4
    | n2 != sum(n9,n4)
    | n3 != sK1
    | n2 != pred(n3)
    | n10 != sK0
    | n0 != succ(n10)
    | n2 != sum(n2,n0)
    | n4 != sum(n2,n2)
    | n4 != sum(n9,n6)
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1308,plain,
    ( n10 != sK0
    | n10 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1307,plain,
    ( n10 != sum(n9,n1)
    | n10 != sum(n10,n0)
    | n9 != pred(n10)
    | n10 != sK0
    | n0 != succ(n10)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n9 != sum(n9,n0)
    | n9 != sum(n10,n10)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1306,plain,
    ( n10 != sum(n4,n6)
    | n0 != sum(n10,n1)
    | n4 != pred(n5)
    | succ(n0) != n1
    | n5 != sum(n4,n1)
    | n0 != sK1
    | n10 != pred(n0)
    | n5 != sK0
    | succ(n5) != n6
    | n5 != sum(n10,n6)
    | n10 != sum(n5,n5)
    | n10 != sum(n10,n0)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1305,plain,
    ( n3 != sum(n2,n1)
    | n3 != sum(n10,n4)
    | n2 != pred(n3)
    | n3 != sK0
    | succ(n3) != n4
    | n6 != sum(n2,n4)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n6 != sum(n6,n0)
    | n6 != sum(n3,n3)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1304,plain,
    ( n1 != sum(n0,n1)
    | n1 != sum(n10,n2)
    | n0 != pred(n1)
    | n1 != sK0
    | succ(n1) != n2
    | n2 != sum(n0,n2)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n2 != sum(n2,n0)
    | n2 != sum(n1,n1)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1303,plain,
    ( n6 != sum(n5,n1)
    | n6 != sum(n10,n7)
    | n5 != pred(n6)
    | n6 != sK0
    | succ(n6) != n7
    | n1 != sum(n5,n7)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n1 != sum(n1,n0)
    | n1 != sum(n6,n6)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1302,plain,
    ( n4 != sum(n3,n1)
    | n4 != sum(n10,n5)
    | n3 != pred(n4)
    | n4 != sK0
    | succ(n4) != n5
    | n8 != sum(n3,n5)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n8 != sum(n8,n0)
    | n8 != sum(n4,n4)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1301,plain,
    ( n7 != sum(n6,n1)
    | n7 != sum(n10,n8)
    | n6 != pred(n7)
    | n7 != sK0
    | succ(n7) != n8
    | n3 != sum(n6,n8)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n3 != sum(n3,n0)
    | n3 != sum(n7,n7)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1300,plain,
    ( n2 != sum(n1,n1)
    | n2 != sum(n10,n3)
    | n1 != pred(n2)
    | n2 != sK0
    | succ(n2) != n3
    | n4 != sum(n1,n3)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n4 != sum(n4,n0)
    | n4 != sum(n2,n2)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1299,plain,
    ( n8 != sum(n7,n1)
    | n8 != sum(n10,n9)
    | n7 != pred(n8)
    | n8 != sK0
    | succ(n8) != n9
    | n5 != sum(n7,n9)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n5 != sum(n5,n0)
    | n5 != sum(n8,n8)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1298,plain,
    ( n0 != sK0
    | n0 != sK1
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))))
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1297,plain,
    ( n9 != sum(n8,n1)
    | n9 != sum(n10,n10)
    | n8 != pred(n9)
    | n9 != sK0
    | succ(n9) != n10
    | n7 != sum(n8,n10)
    | n10 != pred(n0)
    | n0 != sK1
    | succ(n0) != n1
    | n0 != sum(n10,n1)
    | n7 != sum(n7,n0)
    | n7 != sum(n9,n9)
    | ~ sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))))
    | sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1296,plain,
    spl3_222,
    inference(avatar_split_clause,[],[f4,f1293]) ).

fof(f1293,plain,
    ( spl3_222
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_222])]) ).

fof(f4,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,plain,
    ( n9 != n10
    & n8 != n10
    & n8 != n9
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
    & ( n10 = sK1
      | n9 = sK1
      | n8 = sK1
      | n7 = sK1
      | n6 = sK1
      | n5 = sK1
      | n4 = sK1
      | n3 = sK1
      | n2 = sK1
      | n1 = sK1
      | n0 = sK1 )
    & ( n10 = sK0
      | n9 = sK0
      | n8 = sK0
      | n7 = sK0
      | n6 = sK0
      | n5 = sK0
      | n4 = sK0
      | n3 = sK0
      | n2 = sK0
      | n1 = sK0
      | n0 = sK0 )
    & n9 = sum(n10,n10)
    & n8 = sum(n10,n9)
    & n7 = sum(n10,n8)
    & n6 = sum(n10,n7)
    & n5 = sum(n10,n6)
    & n4 = sum(n10,n5)
    & n3 = sum(n10,n4)
    & n2 = sum(n10,n3)
    & n1 = sum(n10,n2)
    & n0 = sum(n10,n1)
    & n10 = sum(n10,n0)
    & n8 = sum(n9,n10)
    & n7 = sum(n9,n9)
    & n6 = sum(n9,n8)
    & n5 = sum(n9,n7)
    & n4 = sum(n9,n6)
    & n3 = sum(n9,n5)
    & n2 = sum(n9,n4)
    & n1 = sum(n9,n3)
    & n0 = sum(n9,n2)
    & n10 = sum(n9,n1)
    & n9 = sum(n9,n0)
    & n7 = sum(n8,n10)
    & n6 = sum(n8,n9)
    & n5 = sum(n8,n8)
    & n4 = sum(n8,n7)
    & n3 = sum(n8,n6)
    & n2 = sum(n8,n5)
    & n1 = sum(n8,n4)
    & n0 = sum(n8,n3)
    & n10 = sum(n8,n2)
    & n9 = sum(n8,n1)
    & n8 = sum(n8,n0)
    & n6 = sum(n7,n10)
    & n5 = sum(n7,n9)
    & n4 = sum(n7,n8)
    & n3 = sum(n7,n7)
    & n2 = sum(n7,n6)
    & n1 = sum(n7,n5)
    & n0 = sum(n7,n4)
    & n10 = sum(n7,n3)
    & n9 = sum(n7,n2)
    & n8 = sum(n7,n1)
    & n7 = sum(n7,n0)
    & n5 = sum(n6,n10)
    & n4 = sum(n6,n9)
    & n3 = sum(n6,n8)
    & n2 = sum(n6,n7)
    & n1 = sum(n6,n6)
    & n0 = sum(n6,n5)
    & n10 = sum(n6,n4)
    & n9 = sum(n6,n3)
    & n8 = sum(n6,n2)
    & n7 = sum(n6,n1)
    & n6 = sum(n6,n0)
    & n4 = sum(n5,n10)
    & n3 = sum(n5,n9)
    & n2 = sum(n5,n8)
    & n1 = sum(n5,n7)
    & n0 = sum(n5,n6)
    & n10 = sum(n5,n5)
    & n9 = sum(n5,n4)
    & n8 = sum(n5,n3)
    & n7 = sum(n5,n2)
    & n6 = sum(n5,n1)
    & n5 = sum(n5,n0)
    & n3 = sum(n4,n10)
    & n2 = sum(n4,n9)
    & n1 = sum(n4,n8)
    & n0 = sum(n4,n7)
    & n10 = sum(n4,n6)
    & n9 = sum(n4,n5)
    & n8 = sum(n4,n4)
    & n7 = sum(n4,n3)
    & n6 = sum(n4,n2)
    & n5 = sum(n4,n1)
    & n4 = sum(n4,n0)
    & n2 = sum(n3,n10)
    & n1 = sum(n3,n9)
    & n0 = sum(n3,n8)
    & n10 = sum(n3,n7)
    & n9 = sum(n3,n6)
    & n8 = sum(n3,n5)
    & n7 = sum(n3,n4)
    & n6 = sum(n3,n3)
    & n5 = sum(n3,n2)
    & n4 = sum(n3,n1)
    & n3 = sum(n3,n0)
    & n1 = sum(n2,n10)
    & n0 = sum(n2,n9)
    & n10 = sum(n2,n8)
    & n9 = sum(n2,n7)
    & n8 = sum(n2,n6)
    & n7 = sum(n2,n5)
    & n6 = sum(n2,n4)
    & n5 = sum(n2,n3)
    & n4 = sum(n2,n2)
    & n3 = sum(n2,n1)
    & n2 = sum(n2,n0)
    & n0 = sum(n1,n10)
    & n10 = sum(n1,n9)
    & n9 = sum(n1,n8)
    & n8 = sum(n1,n7)
    & n7 = sum(n1,n6)
    & n6 = sum(n1,n5)
    & n5 = sum(n1,n4)
    & n4 = sum(n1,n3)
    & n3 = sum(n1,n2)
    & n2 = sum(n1,n1)
    & n1 = sum(n1,n0)
    & n10 = sum(n0,n10)
    & n9 = sum(n0,n9)
    & n8 = sum(n0,n8)
    & n7 = sum(n0,n7)
    & n6 = sum(n0,n6)
    & n5 = sum(n0,n5)
    & n4 = sum(n0,n4)
    & n3 = sum(n0,n3)
    & n2 = sum(n0,n2)
    & n1 = sum(n0,n1)
    & n0 = sum(n0,n0)
    & n9 = pred(n10)
    & n8 = pred(n9)
    & n7 = pred(n8)
    & n6 = pred(n7)
    & n5 = pred(n6)
    & n4 = pred(n5)
    & n3 = pred(n4)
    & n2 = pred(n3)
    & n1 = pred(n2)
    & n0 = pred(n1)
    & n10 = pred(n0)
    & n0 = succ(n10)
    & succ(n9) = n10
    & succ(n8) = n9
    & succ(n7) = n8
    & succ(n6) = n7
    & succ(n5) = n6
    & succ(n4) = n5
    & succ(n3) = n4
    & succ(n2) = n3
    & succ(n1) = n2
    & succ(n0) = n1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1,f2]) ).

fof(f2,plain,
    ( ? [X0,X1] :
        ( n9 != n10
        & n8 != n10
        & n8 != n9
        & n7 != n10
        & n7 != n9
        & n7 != n8
        & n6 != n10
        & n6 != n9
        & n6 != n8
        & n6 != n7
        & n5 != n10
        & n5 != n9
        & n5 != n8
        & n5 != n7
        & n5 != n6
        & n4 != n10
        & n4 != n9
        & n4 != n8
        & n4 != n7
        & n4 != n6
        & n4 != n5
        & n3 != n10
        & n3 != n9
        & n3 != n8
        & n3 != n7
        & n3 != n6
        & n3 != n5
        & n3 != n4
        & n2 != n10
        & n2 != n9
        & n2 != n8
        & n2 != n7
        & n2 != n6
        & n2 != n5
        & n2 != n4
        & n2 != n3
        & n1 != n10
        & n1 != n9
        & n1 != n8
        & n1 != n7
        & n1 != n6
        & n1 != n5
        & n1 != n4
        & n1 != n3
        & n1 != n2
        & n0 != n10
        & n0 != n9
        & n0 != n8
        & n0 != n7
        & n0 != n6
        & n0 != n5
        & n0 != n4
        & n0 != n3
        & n0 != n2
        & n0 != n1
        & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
        & ( n10 = X1
          | n9 = X1
          | n8 = X1
          | n7 = X1
          | n6 = X1
          | n5 = X1
          | n4 = X1
          | n3 = X1
          | n2 = X1
          | n1 = X1
          | n0 = X1 )
        & ( n10 = X0
          | n9 = X0
          | n8 = X0
          | n7 = X0
          | n6 = X0
          | n5 = X0
          | n4 = X0
          | n3 = X0
          | n2 = X0
          | n1 = X0
          | n0 = X0 )
        & n9 = sum(n10,n10)
        & n8 = sum(n10,n9)
        & n7 = sum(n10,n8)
        & n6 = sum(n10,n7)
        & n5 = sum(n10,n6)
        & n4 = sum(n10,n5)
        & n3 = sum(n10,n4)
        & n2 = sum(n10,n3)
        & n1 = sum(n10,n2)
        & n0 = sum(n10,n1)
        & n10 = sum(n10,n0)
        & n8 = sum(n9,n10)
        & n7 = sum(n9,n9)
        & n6 = sum(n9,n8)
        & n5 = sum(n9,n7)
        & n4 = sum(n9,n6)
        & n3 = sum(n9,n5)
        & n2 = sum(n9,n4)
        & n1 = sum(n9,n3)
        & n0 = sum(n9,n2)
        & n10 = sum(n9,n1)
        & n9 = sum(n9,n0)
        & n7 = sum(n8,n10)
        & n6 = sum(n8,n9)
        & n5 = sum(n8,n8)
        & n4 = sum(n8,n7)
        & n3 = sum(n8,n6)
        & n2 = sum(n8,n5)
        & n1 = sum(n8,n4)
        & n0 = sum(n8,n3)
        & n10 = sum(n8,n2)
        & n9 = sum(n8,n1)
        & n8 = sum(n8,n0)
        & n6 = sum(n7,n10)
        & n5 = sum(n7,n9)
        & n4 = sum(n7,n8)
        & n3 = sum(n7,n7)
        & n2 = sum(n7,n6)
        & n1 = sum(n7,n5)
        & n0 = sum(n7,n4)
        & n10 = sum(n7,n3)
        & n9 = sum(n7,n2)
        & n8 = sum(n7,n1)
        & n7 = sum(n7,n0)
        & n5 = sum(n6,n10)
        & n4 = sum(n6,n9)
        & n3 = sum(n6,n8)
        & n2 = sum(n6,n7)
        & n1 = sum(n6,n6)
        & n0 = sum(n6,n5)
        & n10 = sum(n6,n4)
        & n9 = sum(n6,n3)
        & n8 = sum(n6,n2)
        & n7 = sum(n6,n1)
        & n6 = sum(n6,n0)
        & n4 = sum(n5,n10)
        & n3 = sum(n5,n9)
        & n2 = sum(n5,n8)
        & n1 = sum(n5,n7)
        & n0 = sum(n5,n6)
        & n10 = sum(n5,n5)
        & n9 = sum(n5,n4)
        & n8 = sum(n5,n3)
        & n7 = sum(n5,n2)
        & n6 = sum(n5,n1)
        & n5 = sum(n5,n0)
        & n3 = sum(n4,n10)
        & n2 = sum(n4,n9)
        & n1 = sum(n4,n8)
        & n0 = sum(n4,n7)
        & n10 = sum(n4,n6)
        & n9 = sum(n4,n5)
        & n8 = sum(n4,n4)
        & n7 = sum(n4,n3)
        & n6 = sum(n4,n2)
        & n5 = sum(n4,n1)
        & n4 = sum(n4,n0)
        & n2 = sum(n3,n10)
        & n1 = sum(n3,n9)
        & n0 = sum(n3,n8)
        & n10 = sum(n3,n7)
        & n9 = sum(n3,n6)
        & n8 = sum(n3,n5)
        & n7 = sum(n3,n4)
        & n6 = sum(n3,n3)
        & n5 = sum(n3,n2)
        & n4 = sum(n3,n1)
        & n3 = sum(n3,n0)
        & n1 = sum(n2,n10)
        & n0 = sum(n2,n9)
        & n10 = sum(n2,n8)
        & n9 = sum(n2,n7)
        & n8 = sum(n2,n6)
        & n7 = sum(n2,n5)
        & n6 = sum(n2,n4)
        & n5 = sum(n2,n3)
        & n4 = sum(n2,n2)
        & n3 = sum(n2,n1)
        & n2 = sum(n2,n0)
        & n0 = sum(n1,n10)
        & n10 = sum(n1,n9)
        & n9 = sum(n1,n8)
        & n8 = sum(n1,n7)
        & n7 = sum(n1,n6)
        & n6 = sum(n1,n5)
        & n5 = sum(n1,n4)
        & n4 = sum(n1,n3)
        & n3 = sum(n1,n2)
        & n2 = sum(n1,n1)
        & n1 = sum(n1,n0)
        & n10 = sum(n0,n10)
        & n9 = sum(n0,n9)
        & n8 = sum(n0,n8)
        & n7 = sum(n0,n7)
        & n6 = sum(n0,n6)
        & n5 = sum(n0,n5)
        & n4 = sum(n0,n4)
        & n3 = sum(n0,n3)
        & n2 = sum(n0,n2)
        & n1 = sum(n0,n1)
        & n0 = sum(n0,n0)
        & n9 = pred(n10)
        & n8 = pred(n9)
        & n7 = pred(n8)
        & n6 = pred(n7)
        & n5 = pred(n6)
        & n4 = pred(n5)
        & n3 = pred(n4)
        & n2 = pred(n3)
        & n1 = pred(n2)
        & n0 = pred(n1)
        & n10 = pred(n0)
        & n0 = succ(n10)
        & succ(n9) = n10
        & succ(n8) = n9
        & succ(n7) = n8
        & succ(n6) = n7
        & succ(n5) = n6
        & succ(n4) = n5
        & succ(n3) = n4
        & succ(n2) = n3
        & succ(n1) = n2
        & succ(n0) = n1 )
   => ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
      & ( n10 = sK1
        | n9 = sK1
        | n8 = sK1
        | n7 = sK1
        | n6 = sK1
        | n5 = sK1
        | n4 = sK1
        | n3 = sK1
        | n2 = sK1
        | n1 = sK1
        | n0 = sK1 )
      & ( n10 = sK0
        | n9 = sK0
        | n8 = sK0
        | n7 = sK0
        | n6 = sK0
        | n5 = sK0
        | n4 = sK0
        | n3 = sK0
        | n2 = sK0
        | n1 = sK0
        | n0 = sK0 )
      & n9 = sum(n10,n10)
      & n8 = sum(n10,n9)
      & n7 = sum(n10,n8)
      & n6 = sum(n10,n7)
      & n5 = sum(n10,n6)
      & n4 = sum(n10,n5)
      & n3 = sum(n10,n4)
      & n2 = sum(n10,n3)
      & n1 = sum(n10,n2)
      & n0 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n10)
      & n7 = sum(n9,n9)
      & n6 = sum(n9,n8)
      & n5 = sum(n9,n7)
      & n4 = sum(n9,n6)
      & n3 = sum(n9,n5)
      & n2 = sum(n9,n4)
      & n1 = sum(n9,n3)
      & n0 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n10)
      & n6 = sum(n8,n9)
      & n5 = sum(n8,n8)
      & n4 = sum(n8,n7)
      & n3 = sum(n8,n6)
      & n2 = sum(n8,n5)
      & n1 = sum(n8,n4)
      & n0 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n10)
      & n5 = sum(n7,n9)
      & n4 = sum(n7,n8)
      & n3 = sum(n7,n7)
      & n2 = sum(n7,n6)
      & n1 = sum(n7,n5)
      & n0 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n10)
      & n4 = sum(n6,n9)
      & n3 = sum(n6,n8)
      & n2 = sum(n6,n7)
      & n1 = sum(n6,n6)
      & n0 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n10)
      & n3 = sum(n5,n9)
      & n2 = sum(n5,n8)
      & n1 = sum(n5,n7)
      & n0 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n10)
      & n2 = sum(n4,n9)
      & n1 = sum(n4,n8)
      & n0 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n10)
      & n1 = sum(n3,n9)
      & n0 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n10)
      & n0 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n10 = pred(n0)
      & n0 = succ(n10)
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0,X1] :
      ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
      & ( n10 = X1
        | n9 = X1
        | n8 = X1
        | n7 = X1
        | n6 = X1
        | n5 = X1
        | n4 = X1
        | n3 = X1
        | n2 = X1
        | n1 = X1
        | n0 = X1 )
      & ( n10 = X0
        | n9 = X0
        | n8 = X0
        | n7 = X0
        | n6 = X0
        | n5 = X0
        | n4 = X0
        | n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 )
      & n9 = sum(n10,n10)
      & n8 = sum(n10,n9)
      & n7 = sum(n10,n8)
      & n6 = sum(n10,n7)
      & n5 = sum(n10,n6)
      & n4 = sum(n10,n5)
      & n3 = sum(n10,n4)
      & n2 = sum(n10,n3)
      & n1 = sum(n10,n2)
      & n0 = sum(n10,n1)
      & n10 = sum(n10,n0)
      & n8 = sum(n9,n10)
      & n7 = sum(n9,n9)
      & n6 = sum(n9,n8)
      & n5 = sum(n9,n7)
      & n4 = sum(n9,n6)
      & n3 = sum(n9,n5)
      & n2 = sum(n9,n4)
      & n1 = sum(n9,n3)
      & n0 = sum(n9,n2)
      & n10 = sum(n9,n1)
      & n9 = sum(n9,n0)
      & n7 = sum(n8,n10)
      & n6 = sum(n8,n9)
      & n5 = sum(n8,n8)
      & n4 = sum(n8,n7)
      & n3 = sum(n8,n6)
      & n2 = sum(n8,n5)
      & n1 = sum(n8,n4)
      & n0 = sum(n8,n3)
      & n10 = sum(n8,n2)
      & n9 = sum(n8,n1)
      & n8 = sum(n8,n0)
      & n6 = sum(n7,n10)
      & n5 = sum(n7,n9)
      & n4 = sum(n7,n8)
      & n3 = sum(n7,n7)
      & n2 = sum(n7,n6)
      & n1 = sum(n7,n5)
      & n0 = sum(n7,n4)
      & n10 = sum(n7,n3)
      & n9 = sum(n7,n2)
      & n8 = sum(n7,n1)
      & n7 = sum(n7,n0)
      & n5 = sum(n6,n10)
      & n4 = sum(n6,n9)
      & n3 = sum(n6,n8)
      & n2 = sum(n6,n7)
      & n1 = sum(n6,n6)
      & n0 = sum(n6,n5)
      & n10 = sum(n6,n4)
      & n9 = sum(n6,n3)
      & n8 = sum(n6,n2)
      & n7 = sum(n6,n1)
      & n6 = sum(n6,n0)
      & n4 = sum(n5,n10)
      & n3 = sum(n5,n9)
      & n2 = sum(n5,n8)
      & n1 = sum(n5,n7)
      & n0 = sum(n5,n6)
      & n10 = sum(n5,n5)
      & n9 = sum(n5,n4)
      & n8 = sum(n5,n3)
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n5 = sum(n5,n0)
      & n3 = sum(n4,n10)
      & n2 = sum(n4,n9)
      & n1 = sum(n4,n8)
      & n0 = sum(n4,n7)
      & n10 = sum(n4,n6)
      & n9 = sum(n4,n5)
      & n8 = sum(n4,n4)
      & n7 = sum(n4,n3)
      & n6 = sum(n4,n2)
      & n5 = sum(n4,n1)
      & n4 = sum(n4,n0)
      & n2 = sum(n3,n10)
      & n1 = sum(n3,n9)
      & n0 = sum(n3,n8)
      & n10 = sum(n3,n7)
      & n9 = sum(n3,n6)
      & n8 = sum(n3,n5)
      & n7 = sum(n3,n4)
      & n6 = sum(n3,n3)
      & n5 = sum(n3,n2)
      & n4 = sum(n3,n1)
      & n3 = sum(n3,n0)
      & n1 = sum(n2,n10)
      & n0 = sum(n2,n9)
      & n10 = sum(n2,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n7 = sum(n2,n5)
      & n6 = sum(n2,n4)
      & n5 = sum(n2,n3)
      & n4 = sum(n2,n2)
      & n3 = sum(n2,n1)
      & n2 = sum(n2,n0)
      & n0 = sum(n1,n10)
      & n10 = sum(n1,n9)
      & n9 = sum(n1,n8)
      & n8 = sum(n1,n7)
      & n7 = sum(n1,n6)
      & n6 = sum(n1,n5)
      & n5 = sum(n1,n4)
      & n4 = sum(n1,n3)
      & n3 = sum(n1,n2)
      & n2 = sum(n1,n1)
      & n1 = sum(n1,n0)
      & n10 = sum(n0,n10)
      & n9 = sum(n0,n9)
      & n8 = sum(n0,n8)
      & n7 = sum(n0,n7)
      & n6 = sum(n0,n6)
      & n5 = sum(n0,n5)
      & n4 = sum(n0,n4)
      & n3 = sum(n0,n3)
      & n2 = sum(n0,n2)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n9 = pred(n10)
      & n8 = pred(n9)
      & n7 = pred(n8)
      & n6 = pred(n7)
      & n5 = pred(n6)
      & n4 = pred(n5)
      & n3 = pred(n4)
      & n2 = pred(n3)
      & n1 = pred(n2)
      & n0 = pred(n1)
      & n10 = pred(n0)
      & n0 = succ(n10)
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox/tmp/tmp.uZO6amXJwE/Vampire---4.8_10871',try_satisfy_this) ).

fof(f1291,plain,
    ~ spl3_221,
    inference(avatar_split_clause,[],[f205,f1288]) ).

fof(f1288,plain,
    ( spl3_221
  <=> sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_221])]) ).

fof(f205,plain,
    ~ sP2(sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1286,plain,
    spl3_220,
    inference(avatar_split_clause,[],[f5,f1283]) ).

fof(f1283,plain,
    ( spl3_220
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_220])]) ).

fof(f5,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f3]) ).

fof(f1281,plain,
    spl3_219,
    inference(avatar_split_clause,[],[f6,f1278]) ).

fof(f1278,plain,
    ( spl3_219
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_219])]) ).

fof(f6,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f3]) ).

fof(f1276,plain,
    spl3_218,
    inference(avatar_split_clause,[],[f7,f1273]) ).

fof(f1273,plain,
    ( spl3_218
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_218])]) ).

fof(f7,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f3]) ).

fof(f1271,plain,
    spl3_217,
    inference(avatar_split_clause,[],[f8,f1268]) ).

fof(f1268,plain,
    ( spl3_217
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_217])]) ).

fof(f8,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f3]) ).

fof(f1266,plain,
    spl3_216,
    inference(avatar_split_clause,[],[f9,f1263]) ).

fof(f1263,plain,
    ( spl3_216
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_216])]) ).

fof(f9,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f3]) ).

fof(f1261,plain,
    spl3_215,
    inference(avatar_split_clause,[],[f10,f1258]) ).

fof(f1258,plain,
    ( spl3_215
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_215])]) ).

fof(f10,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f3]) ).

fof(f1256,plain,
    spl3_214,
    inference(avatar_split_clause,[],[f11,f1253]) ).

fof(f1253,plain,
    ( spl3_214
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_214])]) ).

fof(f11,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f3]) ).

fof(f1251,plain,
    spl3_213,
    inference(avatar_split_clause,[],[f12,f1248]) ).

fof(f1248,plain,
    ( spl3_213
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_213])]) ).

fof(f12,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f3]) ).

fof(f1246,plain,
    spl3_212,
    inference(avatar_split_clause,[],[f13,f1243]) ).

fof(f1243,plain,
    ( spl3_212
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_212])]) ).

fof(f13,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f3]) ).

fof(f1241,plain,
    spl3_211,
    inference(avatar_split_clause,[],[f14,f1238]) ).

fof(f1238,plain,
    ( spl3_211
  <=> n0 = succ(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_211])]) ).

fof(f14,plain,
    n0 = succ(n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1236,plain,
    spl3_210,
    inference(avatar_split_clause,[],[f15,f1233]) ).

fof(f1233,plain,
    ( spl3_210
  <=> n10 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_210])]) ).

fof(f15,plain,
    n10 = pred(n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1231,plain,
    spl3_209,
    inference(avatar_split_clause,[],[f16,f1228]) ).

fof(f1228,plain,
    ( spl3_209
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_209])]) ).

fof(f16,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1226,plain,
    spl3_208,
    inference(avatar_split_clause,[],[f17,f1223]) ).

fof(f1223,plain,
    ( spl3_208
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_208])]) ).

fof(f17,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1221,plain,
    spl3_207,
    inference(avatar_split_clause,[],[f18,f1218]) ).

fof(f1218,plain,
    ( spl3_207
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_207])]) ).

fof(f18,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1216,plain,
    spl3_206,
    inference(avatar_split_clause,[],[f19,f1213]) ).

fof(f1213,plain,
    ( spl3_206
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_206])]) ).

fof(f19,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f1211,plain,
    spl3_205,
    inference(avatar_split_clause,[],[f20,f1208]) ).

fof(f1208,plain,
    ( spl3_205
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_205])]) ).

fof(f20,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f1206,plain,
    spl3_204,
    inference(avatar_split_clause,[],[f21,f1203]) ).

fof(f1203,plain,
    ( spl3_204
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_204])]) ).

fof(f21,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f1201,plain,
    spl3_203,
    inference(avatar_split_clause,[],[f22,f1198]) ).

fof(f1198,plain,
    ( spl3_203
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_203])]) ).

fof(f22,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f1196,plain,
    spl3_202,
    inference(avatar_split_clause,[],[f23,f1193]) ).

fof(f1193,plain,
    ( spl3_202
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_202])]) ).

fof(f23,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f1191,plain,
    spl3_201,
    inference(avatar_split_clause,[],[f24,f1188]) ).

fof(f1188,plain,
    ( spl3_201
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_201])]) ).

fof(f24,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f1186,plain,
    spl3_200,
    inference(avatar_split_clause,[],[f25,f1183]) ).

fof(f1183,plain,
    ( spl3_200
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_200])]) ).

fof(f25,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1181,plain,
    spl3_199,
    inference(avatar_split_clause,[],[f26,f1178]) ).

fof(f1178,plain,
    ( spl3_199
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_199])]) ).

fof(f26,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1176,plain,
    spl3_198,
    inference(avatar_split_clause,[],[f27,f1173]) ).

fof(f1173,plain,
    ( spl3_198
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_198])]) ).

fof(f27,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1171,plain,
    spl3_197,
    inference(avatar_split_clause,[],[f28,f1168]) ).

fof(f1168,plain,
    ( spl3_197
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_197])]) ).

fof(f28,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1166,plain,
    spl3_196,
    inference(avatar_split_clause,[],[f29,f1163]) ).

fof(f1163,plain,
    ( spl3_196
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_196])]) ).

fof(f29,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1161,plain,
    spl3_195,
    inference(avatar_split_clause,[],[f30,f1158]) ).

fof(f1158,plain,
    ( spl3_195
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_195])]) ).

fof(f30,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f1156,plain,
    spl3_194,
    inference(avatar_split_clause,[],[f31,f1153]) ).

fof(f1153,plain,
    ( spl3_194
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_194])]) ).

fof(f31,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f1151,plain,
    spl3_193,
    inference(avatar_split_clause,[],[f32,f1148]) ).

fof(f1148,plain,
    ( spl3_193
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_193])]) ).

fof(f32,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f1146,plain,
    spl3_192,
    inference(avatar_split_clause,[],[f33,f1143]) ).

fof(f1143,plain,
    ( spl3_192
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_192])]) ).

fof(f33,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f1141,plain,
    spl3_191,
    inference(avatar_split_clause,[],[f34,f1138]) ).

fof(f1138,plain,
    ( spl3_191
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_191])]) ).

fof(f34,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f1136,plain,
    spl3_190,
    inference(avatar_split_clause,[],[f35,f1133]) ).

fof(f1133,plain,
    ( spl3_190
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_190])]) ).

fof(f35,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f1131,plain,
    spl3_189,
    inference(avatar_split_clause,[],[f36,f1128]) ).

fof(f1128,plain,
    ( spl3_189
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_189])]) ).

fof(f36,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1126,plain,
    spl3_188,
    inference(avatar_split_clause,[],[f37,f1123]) ).

fof(f1123,plain,
    ( spl3_188
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_188])]) ).

fof(f37,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1121,plain,
    spl3_187,
    inference(avatar_split_clause,[],[f38,f1118]) ).

fof(f1118,plain,
    ( spl3_187
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_187])]) ).

fof(f38,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1116,plain,
    spl3_186,
    inference(avatar_split_clause,[],[f39,f1113]) ).

fof(f1113,plain,
    ( spl3_186
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_186])]) ).

fof(f39,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1111,plain,
    spl3_185,
    inference(avatar_split_clause,[],[f40,f1108]) ).

fof(f1108,plain,
    ( spl3_185
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_185])]) ).

fof(f40,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1106,plain,
    spl3_184,
    inference(avatar_split_clause,[],[f41,f1103]) ).

fof(f1103,plain,
    ( spl3_184
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_184])]) ).

fof(f41,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f1101,plain,
    spl3_183,
    inference(avatar_split_clause,[],[f42,f1098]) ).

fof(f1098,plain,
    ( spl3_183
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_183])]) ).

fof(f42,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f1096,plain,
    spl3_182,
    inference(avatar_split_clause,[],[f43,f1093]) ).

fof(f1093,plain,
    ( spl3_182
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_182])]) ).

fof(f43,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f1091,plain,
    spl3_181,
    inference(avatar_split_clause,[],[f44,f1088]) ).

fof(f1088,plain,
    ( spl3_181
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_181])]) ).

fof(f44,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f1086,plain,
    spl3_180,
    inference(avatar_split_clause,[],[f45,f1083]) ).

fof(f1083,plain,
    ( spl3_180
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_180])]) ).

fof(f45,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f1081,plain,
    spl3_179,
    inference(avatar_split_clause,[],[f46,f1078]) ).

fof(f1078,plain,
    ( spl3_179
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_179])]) ).

fof(f46,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f1076,plain,
    spl3_178,
    inference(avatar_split_clause,[],[f47,f1073]) ).

fof(f1073,plain,
    ( spl3_178
  <=> n0 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_178])]) ).

fof(f47,plain,
    n0 = sum(n1,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1071,plain,
    spl3_177,
    inference(avatar_split_clause,[],[f48,f1068]) ).

fof(f1068,plain,
    ( spl3_177
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_177])]) ).

fof(f48,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1066,plain,
    spl3_176,
    inference(avatar_split_clause,[],[f49,f1063]) ).

fof(f1063,plain,
    ( spl3_176
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_176])]) ).

fof(f49,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1061,plain,
    spl3_175,
    inference(avatar_split_clause,[],[f50,f1058]) ).

fof(f1058,plain,
    ( spl3_175
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_175])]) ).

fof(f50,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1056,plain,
    spl3_174,
    inference(avatar_split_clause,[],[f51,f1053]) ).

fof(f1053,plain,
    ( spl3_174
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_174])]) ).

fof(f51,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1051,plain,
    spl3_173,
    inference(avatar_split_clause,[],[f52,f1048]) ).

fof(f1048,plain,
    ( spl3_173
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_173])]) ).

fof(f52,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f1046,plain,
    spl3_172,
    inference(avatar_split_clause,[],[f53,f1043]) ).

fof(f1043,plain,
    ( spl3_172
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_172])]) ).

fof(f53,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f1041,plain,
    spl3_171,
    inference(avatar_split_clause,[],[f54,f1038]) ).

fof(f1038,plain,
    ( spl3_171
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_171])]) ).

fof(f54,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f1036,plain,
    spl3_170,
    inference(avatar_split_clause,[],[f55,f1033]) ).

fof(f1033,plain,
    ( spl3_170
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_170])]) ).

fof(f55,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f1031,plain,
    spl3_169,
    inference(avatar_split_clause,[],[f56,f1028]) ).

fof(f1028,plain,
    ( spl3_169
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_169])]) ).

fof(f56,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f1026,plain,
    spl3_168,
    inference(avatar_split_clause,[],[f57,f1023]) ).

fof(f1023,plain,
    ( spl3_168
  <=> n0 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_168])]) ).

fof(f57,plain,
    n0 = sum(n2,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f1021,plain,
    spl3_167,
    inference(avatar_split_clause,[],[f58,f1018]) ).

fof(f1018,plain,
    ( spl3_167
  <=> n1 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_167])]) ).

fof(f58,plain,
    n1 = sum(n2,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f1016,plain,
    spl3_166,
    inference(avatar_split_clause,[],[f59,f1013]) ).

fof(f1013,plain,
    ( spl3_166
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_166])]) ).

fof(f59,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1011,plain,
    spl3_165,
    inference(avatar_split_clause,[],[f60,f1008]) ).

fof(f1008,plain,
    ( spl3_165
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_165])]) ).

fof(f60,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1006,plain,
    spl3_164,
    inference(avatar_split_clause,[],[f61,f1003]) ).

fof(f1003,plain,
    ( spl3_164
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_164])]) ).

fof(f61,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1001,plain,
    spl3_163,
    inference(avatar_split_clause,[],[f62,f998]) ).

fof(f998,plain,
    ( spl3_163
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_163])]) ).

fof(f62,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f996,plain,
    spl3_162,
    inference(avatar_split_clause,[],[f63,f993]) ).

fof(f993,plain,
    ( spl3_162
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_162])]) ).

fof(f63,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f991,plain,
    spl3_161,
    inference(avatar_split_clause,[],[f64,f988]) ).

fof(f988,plain,
    ( spl3_161
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_161])]) ).

fof(f64,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f986,plain,
    spl3_160,
    inference(avatar_split_clause,[],[f65,f983]) ).

fof(f983,plain,
    ( spl3_160
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_160])]) ).

fof(f65,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f981,plain,
    spl3_159,
    inference(avatar_split_clause,[],[f66,f978]) ).

fof(f978,plain,
    ( spl3_159
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_159])]) ).

fof(f66,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f976,plain,
    spl3_158,
    inference(avatar_split_clause,[],[f67,f973]) ).

fof(f973,plain,
    ( spl3_158
  <=> n0 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_158])]) ).

fof(f67,plain,
    n0 = sum(n3,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f971,plain,
    spl3_157,
    inference(avatar_split_clause,[],[f68,f968]) ).

fof(f968,plain,
    ( spl3_157
  <=> n1 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_157])]) ).

fof(f68,plain,
    n1 = sum(n3,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f966,plain,
    spl3_156,
    inference(avatar_split_clause,[],[f69,f963]) ).

fof(f963,plain,
    ( spl3_156
  <=> n2 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_156])]) ).

fof(f69,plain,
    n2 = sum(n3,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f961,plain,
    spl3_155,
    inference(avatar_split_clause,[],[f70,f958]) ).

fof(f958,plain,
    ( spl3_155
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_155])]) ).

fof(f70,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f956,plain,
    spl3_154,
    inference(avatar_split_clause,[],[f71,f953]) ).

fof(f953,plain,
    ( spl3_154
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_154])]) ).

fof(f71,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f951,plain,
    spl3_153,
    inference(avatar_split_clause,[],[f72,f948]) ).

fof(f948,plain,
    ( spl3_153
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_153])]) ).

fof(f72,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f946,plain,
    spl3_152,
    inference(avatar_split_clause,[],[f73,f943]) ).

fof(f943,plain,
    ( spl3_152
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_152])]) ).

fof(f73,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f941,plain,
    spl3_151,
    inference(avatar_split_clause,[],[f74,f938]) ).

fof(f938,plain,
    ( spl3_151
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_151])]) ).

fof(f74,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f936,plain,
    spl3_150,
    inference(avatar_split_clause,[],[f75,f933]) ).

fof(f933,plain,
    ( spl3_150
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_150])]) ).

fof(f75,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f931,plain,
    spl3_149,
    inference(avatar_split_clause,[],[f76,f928]) ).

fof(f928,plain,
    ( spl3_149
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_149])]) ).

fof(f76,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f926,plain,
    spl3_148,
    inference(avatar_split_clause,[],[f77,f923]) ).

fof(f923,plain,
    ( spl3_148
  <=> n0 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_148])]) ).

fof(f77,plain,
    n0 = sum(n4,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f921,plain,
    spl3_147,
    inference(avatar_split_clause,[],[f78,f918]) ).

fof(f918,plain,
    ( spl3_147
  <=> n1 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_147])]) ).

fof(f78,plain,
    n1 = sum(n4,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f916,plain,
    spl3_146,
    inference(avatar_split_clause,[],[f79,f913]) ).

fof(f913,plain,
    ( spl3_146
  <=> n2 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_146])]) ).

fof(f79,plain,
    n2 = sum(n4,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f911,plain,
    spl3_145,
    inference(avatar_split_clause,[],[f80,f908]) ).

fof(f908,plain,
    ( spl3_145
  <=> n3 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_145])]) ).

fof(f80,plain,
    n3 = sum(n4,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f906,plain,
    spl3_144,
    inference(avatar_split_clause,[],[f81,f903]) ).

fof(f903,plain,
    ( spl3_144
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_144])]) ).

fof(f81,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f901,plain,
    spl3_143,
    inference(avatar_split_clause,[],[f82,f898]) ).

fof(f898,plain,
    ( spl3_143
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_143])]) ).

fof(f82,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f896,plain,
    spl3_142,
    inference(avatar_split_clause,[],[f83,f893]) ).

fof(f893,plain,
    ( spl3_142
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_142])]) ).

fof(f83,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f891,plain,
    spl3_141,
    inference(avatar_split_clause,[],[f84,f888]) ).

fof(f888,plain,
    ( spl3_141
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_141])]) ).

fof(f84,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f886,plain,
    spl3_140,
    inference(avatar_split_clause,[],[f85,f883]) ).

fof(f883,plain,
    ( spl3_140
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_140])]) ).

fof(f85,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f881,plain,
    spl3_139,
    inference(avatar_split_clause,[],[f86,f878]) ).

fof(f878,plain,
    ( spl3_139
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_139])]) ).

fof(f86,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f876,plain,
    spl3_138,
    inference(avatar_split_clause,[],[f87,f873]) ).

fof(f873,plain,
    ( spl3_138
  <=> n0 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_138])]) ).

fof(f87,plain,
    n0 = sum(n5,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f871,plain,
    spl3_137,
    inference(avatar_split_clause,[],[f88,f868]) ).

fof(f868,plain,
    ( spl3_137
  <=> n1 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).

fof(f88,plain,
    n1 = sum(n5,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f866,plain,
    spl3_136,
    inference(avatar_split_clause,[],[f89,f863]) ).

fof(f863,plain,
    ( spl3_136
  <=> n2 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).

fof(f89,plain,
    n2 = sum(n5,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f861,plain,
    spl3_135,
    inference(avatar_split_clause,[],[f90,f858]) ).

fof(f858,plain,
    ( spl3_135
  <=> n3 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).

fof(f90,plain,
    n3 = sum(n5,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f856,plain,
    spl3_134,
    inference(avatar_split_clause,[],[f91,f853]) ).

fof(f853,plain,
    ( spl3_134
  <=> n4 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).

fof(f91,plain,
    n4 = sum(n5,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f851,plain,
    spl3_133,
    inference(avatar_split_clause,[],[f92,f848]) ).

fof(f848,plain,
    ( spl3_133
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).

fof(f92,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f846,plain,
    spl3_132,
    inference(avatar_split_clause,[],[f93,f843]) ).

fof(f843,plain,
    ( spl3_132
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).

fof(f93,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f841,plain,
    spl3_131,
    inference(avatar_split_clause,[],[f94,f838]) ).

fof(f838,plain,
    ( spl3_131
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).

fof(f94,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f836,plain,
    spl3_130,
    inference(avatar_split_clause,[],[f95,f833]) ).

fof(f833,plain,
    ( spl3_130
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).

fof(f95,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f831,plain,
    spl3_129,
    inference(avatar_split_clause,[],[f96,f828]) ).

fof(f828,plain,
    ( spl3_129
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).

fof(f96,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f826,plain,
    spl3_128,
    inference(avatar_split_clause,[],[f97,f823]) ).

fof(f823,plain,
    ( spl3_128
  <=> n0 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).

fof(f97,plain,
    n0 = sum(n6,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f821,plain,
    spl3_127,
    inference(avatar_split_clause,[],[f98,f818]) ).

fof(f818,plain,
    ( spl3_127
  <=> n1 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).

fof(f98,plain,
    n1 = sum(n6,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f816,plain,
    spl3_126,
    inference(avatar_split_clause,[],[f99,f813]) ).

fof(f813,plain,
    ( spl3_126
  <=> n2 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).

fof(f99,plain,
    n2 = sum(n6,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f811,plain,
    spl3_125,
    inference(avatar_split_clause,[],[f100,f808]) ).

fof(f808,plain,
    ( spl3_125
  <=> n3 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).

fof(f100,plain,
    n3 = sum(n6,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f806,plain,
    spl3_124,
    inference(avatar_split_clause,[],[f101,f803]) ).

fof(f803,plain,
    ( spl3_124
  <=> n4 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).

fof(f101,plain,
    n4 = sum(n6,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f801,plain,
    spl3_123,
    inference(avatar_split_clause,[],[f102,f798]) ).

fof(f798,plain,
    ( spl3_123
  <=> n5 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).

fof(f102,plain,
    n5 = sum(n6,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f796,plain,
    spl3_122,
    inference(avatar_split_clause,[],[f103,f793]) ).

fof(f793,plain,
    ( spl3_122
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).

fof(f103,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f791,plain,
    spl3_121,
    inference(avatar_split_clause,[],[f104,f788]) ).

fof(f788,plain,
    ( spl3_121
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).

fof(f104,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f786,plain,
    spl3_120,
    inference(avatar_split_clause,[],[f105,f783]) ).

fof(f783,plain,
    ( spl3_120
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).

fof(f105,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f781,plain,
    spl3_119,
    inference(avatar_split_clause,[],[f106,f778]) ).

fof(f778,plain,
    ( spl3_119
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).

fof(f106,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f776,plain,
    spl3_118,
    inference(avatar_split_clause,[],[f107,f773]) ).

fof(f773,plain,
    ( spl3_118
  <=> n0 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).

fof(f107,plain,
    n0 = sum(n7,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f771,plain,
    spl3_117,
    inference(avatar_split_clause,[],[f108,f768]) ).

fof(f768,plain,
    ( spl3_117
  <=> n1 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).

fof(f108,plain,
    n1 = sum(n7,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f766,plain,
    spl3_116,
    inference(avatar_split_clause,[],[f109,f763]) ).

fof(f763,plain,
    ( spl3_116
  <=> n2 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).

fof(f109,plain,
    n2 = sum(n7,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f761,plain,
    spl3_115,
    inference(avatar_split_clause,[],[f110,f758]) ).

fof(f758,plain,
    ( spl3_115
  <=> n3 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).

fof(f110,plain,
    n3 = sum(n7,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f756,plain,
    spl3_114,
    inference(avatar_split_clause,[],[f111,f753]) ).

fof(f753,plain,
    ( spl3_114
  <=> n4 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).

fof(f111,plain,
    n4 = sum(n7,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f751,plain,
    spl3_113,
    inference(avatar_split_clause,[],[f112,f748]) ).

fof(f748,plain,
    ( spl3_113
  <=> n5 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).

fof(f112,plain,
    n5 = sum(n7,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f746,plain,
    spl3_112,
    inference(avatar_split_clause,[],[f113,f743]) ).

fof(f743,plain,
    ( spl3_112
  <=> n6 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).

fof(f113,plain,
    n6 = sum(n7,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f741,plain,
    spl3_111,
    inference(avatar_split_clause,[],[f114,f738]) ).

fof(f738,plain,
    ( spl3_111
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).

fof(f114,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f736,plain,
    spl3_110,
    inference(avatar_split_clause,[],[f115,f733]) ).

fof(f733,plain,
    ( spl3_110
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).

fof(f115,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f731,plain,
    spl3_109,
    inference(avatar_split_clause,[],[f116,f728]) ).

fof(f728,plain,
    ( spl3_109
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).

fof(f116,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f726,plain,
    spl3_108,
    inference(avatar_split_clause,[],[f117,f723]) ).

fof(f723,plain,
    ( spl3_108
  <=> n0 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).

fof(f117,plain,
    n0 = sum(n8,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f721,plain,
    spl3_107,
    inference(avatar_split_clause,[],[f118,f718]) ).

fof(f718,plain,
    ( spl3_107
  <=> n1 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f118,plain,
    n1 = sum(n8,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f716,plain,
    spl3_106,
    inference(avatar_split_clause,[],[f119,f713]) ).

fof(f713,plain,
    ( spl3_106
  <=> n2 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f119,plain,
    n2 = sum(n8,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f711,plain,
    spl3_105,
    inference(avatar_split_clause,[],[f120,f708]) ).

fof(f708,plain,
    ( spl3_105
  <=> n3 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f120,plain,
    n3 = sum(n8,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f706,plain,
    spl3_104,
    inference(avatar_split_clause,[],[f121,f703]) ).

fof(f703,plain,
    ( spl3_104
  <=> n4 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f121,plain,
    n4 = sum(n8,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f701,plain,
    spl3_103,
    inference(avatar_split_clause,[],[f122,f698]) ).

fof(f698,plain,
    ( spl3_103
  <=> n5 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f122,plain,
    n5 = sum(n8,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f696,plain,
    spl3_102,
    inference(avatar_split_clause,[],[f123,f693]) ).

fof(f693,plain,
    ( spl3_102
  <=> n6 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f123,plain,
    n6 = sum(n8,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f691,plain,
    spl3_101,
    inference(avatar_split_clause,[],[f124,f688]) ).

fof(f688,plain,
    ( spl3_101
  <=> n7 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).

fof(f124,plain,
    n7 = sum(n8,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f686,plain,
    spl3_100,
    inference(avatar_split_clause,[],[f125,f683]) ).

fof(f683,plain,
    ( spl3_100
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).

fof(f125,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f681,plain,
    spl3_99,
    inference(avatar_split_clause,[],[f126,f678]) ).

fof(f678,plain,
    ( spl3_99
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f126,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f676,plain,
    spl3_98,
    inference(avatar_split_clause,[],[f127,f673]) ).

fof(f673,plain,
    ( spl3_98
  <=> n0 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).

fof(f127,plain,
    n0 = sum(n9,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f671,plain,
    spl3_97,
    inference(avatar_split_clause,[],[f128,f668]) ).

fof(f668,plain,
    ( spl3_97
  <=> n1 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f128,plain,
    n1 = sum(n9,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f666,plain,
    spl3_96,
    inference(avatar_split_clause,[],[f129,f663]) ).

fof(f663,plain,
    ( spl3_96
  <=> n2 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).

fof(f129,plain,
    n2 = sum(n9,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f661,plain,
    spl3_95,
    inference(avatar_split_clause,[],[f130,f658]) ).

fof(f658,plain,
    ( spl3_95
  <=> n3 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).

fof(f130,plain,
    n3 = sum(n9,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f656,plain,
    spl3_94,
    inference(avatar_split_clause,[],[f131,f653]) ).

fof(f653,plain,
    ( spl3_94
  <=> n4 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).

fof(f131,plain,
    n4 = sum(n9,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f651,plain,
    spl3_93,
    inference(avatar_split_clause,[],[f132,f648]) ).

fof(f648,plain,
    ( spl3_93
  <=> n5 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).

fof(f132,plain,
    n5 = sum(n9,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f646,plain,
    spl3_92,
    inference(avatar_split_clause,[],[f133,f643]) ).

fof(f643,plain,
    ( spl3_92
  <=> n6 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).

fof(f133,plain,
    n6 = sum(n9,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f641,plain,
    spl3_91,
    inference(avatar_split_clause,[],[f134,f638]) ).

fof(f638,plain,
    ( spl3_91
  <=> n7 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).

fof(f134,plain,
    n7 = sum(n9,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f636,plain,
    spl3_90,
    inference(avatar_split_clause,[],[f135,f633]) ).

fof(f633,plain,
    ( spl3_90
  <=> n8 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).

fof(f135,plain,
    n8 = sum(n9,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f631,plain,
    spl3_89,
    inference(avatar_split_clause,[],[f136,f628]) ).

fof(f628,plain,
    ( spl3_89
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f136,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f3]) ).

fof(f626,plain,
    spl3_88,
    inference(avatar_split_clause,[],[f137,f623]) ).

fof(f623,plain,
    ( spl3_88
  <=> n0 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f137,plain,
    n0 = sum(n10,n1),
    inference(cnf_transformation,[],[f3]) ).

fof(f621,plain,
    spl3_87,
    inference(avatar_split_clause,[],[f138,f618]) ).

fof(f618,plain,
    ( spl3_87
  <=> n1 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).

fof(f138,plain,
    n1 = sum(n10,n2),
    inference(cnf_transformation,[],[f3]) ).

fof(f616,plain,
    spl3_86,
    inference(avatar_split_clause,[],[f139,f613]) ).

fof(f613,plain,
    ( spl3_86
  <=> n2 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).

fof(f139,plain,
    n2 = sum(n10,n3),
    inference(cnf_transformation,[],[f3]) ).

fof(f611,plain,
    spl3_85,
    inference(avatar_split_clause,[],[f140,f608]) ).

fof(f608,plain,
    ( spl3_85
  <=> n3 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f140,plain,
    n3 = sum(n10,n4),
    inference(cnf_transformation,[],[f3]) ).

fof(f606,plain,
    spl3_84,
    inference(avatar_split_clause,[],[f141,f603]) ).

fof(f603,plain,
    ( spl3_84
  <=> n4 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).

fof(f141,plain,
    n4 = sum(n10,n5),
    inference(cnf_transformation,[],[f3]) ).

fof(f601,plain,
    spl3_83,
    inference(avatar_split_clause,[],[f142,f598]) ).

fof(f598,plain,
    ( spl3_83
  <=> n5 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f142,plain,
    n5 = sum(n10,n6),
    inference(cnf_transformation,[],[f3]) ).

fof(f596,plain,
    spl3_82,
    inference(avatar_split_clause,[],[f143,f593]) ).

fof(f593,plain,
    ( spl3_82
  <=> n6 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).

fof(f143,plain,
    n6 = sum(n10,n7),
    inference(cnf_transformation,[],[f3]) ).

fof(f591,plain,
    spl3_81,
    inference(avatar_split_clause,[],[f144,f588]) ).

fof(f588,plain,
    ( spl3_81
  <=> n7 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).

fof(f144,plain,
    n7 = sum(n10,n8),
    inference(cnf_transformation,[],[f3]) ).

fof(f586,plain,
    spl3_80,
    inference(avatar_split_clause,[],[f145,f583]) ).

fof(f583,plain,
    ( spl3_80
  <=> n8 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f145,plain,
    n8 = sum(n10,n9),
    inference(cnf_transformation,[],[f3]) ).

fof(f581,plain,
    spl3_79,
    inference(avatar_split_clause,[],[f146,f578]) ).

fof(f578,plain,
    ( spl3_79
  <=> n9 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).

fof(f146,plain,
    n9 = sum(n10,n10),
    inference(cnf_transformation,[],[f3]) ).

fof(f576,plain,
    ( spl3_68
    | spl3_69
    | spl3_70
    | spl3_71
    | spl3_72
    | spl3_73
    | spl3_74
    | spl3_75
    | spl3_76
    | spl3_77
    | spl3_78 ),
    inference(avatar_split_clause,[],[f147,f573,f569,f565,f561,f557,f553,f549,f545,f541,f537,f533]) ).

fof(f533,plain,
    ( spl3_68
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f537,plain,
    ( spl3_69
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f541,plain,
    ( spl3_70
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f545,plain,
    ( spl3_71
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f549,plain,
    ( spl3_72
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f553,plain,
    ( spl3_73
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).

fof(f557,plain,
    ( spl3_74
  <=> n6 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f561,plain,
    ( spl3_75
  <=> n7 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).

fof(f565,plain,
    ( spl3_76
  <=> n8 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).

fof(f569,plain,
    ( spl3_77
  <=> n9 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).

fof(f573,plain,
    ( spl3_78
  <=> n10 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f147,plain,
    ( n10 = sK0
    | n9 = sK0
    | n8 = sK0
    | n7 = sK0
    | n6 = sK0
    | n5 = sK0
    | n4 = sK0
    | n3 = sK0
    | n2 = sK0
    | n1 = sK0
    | n0 = sK0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f531,plain,
    ( spl3_57
    | spl3_58
    | spl3_59
    | spl3_60
    | spl3_61
    | spl3_62
    | spl3_63
    | spl3_64
    | spl3_65
    | spl3_66
    | spl3_67 ),
    inference(avatar_split_clause,[],[f148,f528,f524,f520,f516,f512,f508,f504,f500,f496,f492,f488]) ).

fof(f488,plain,
    ( spl3_57
  <=> n0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).

fof(f492,plain,
    ( spl3_58
  <=> n1 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f496,plain,
    ( spl3_59
  <=> n2 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).

fof(f500,plain,
    ( spl3_60
  <=> n3 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f504,plain,
    ( spl3_61
  <=> n4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f508,plain,
    ( spl3_62
  <=> n5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f512,plain,
    ( spl3_63
  <=> n6 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f516,plain,
    ( spl3_64
  <=> n7 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).

fof(f520,plain,
    ( spl3_65
  <=> n8 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f524,plain,
    ( spl3_66
  <=> n9 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f528,plain,
    ( spl3_67
  <=> n10 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f148,plain,
    ( n10 = sK1
    | n9 = sK1
    | n8 = sK1
    | n7 = sK1
    | n6 = sK1
    | n5 = sK1
    | n4 = sK1
    | n3 = sK1
    | n2 = sK1
    | n1 = sK1
    | n0 = sK1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f486,plain,
    spl3_56,
    inference(avatar_split_clause,[],[f206,f483]) ).

fof(f483,plain,
    ( spl3_56
  <=> sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f206,plain,
    sP2(sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))),
    inference(inequality_splitting,[],[f149,f205]) ).

fof(f149,plain,
    sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:37:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_UNS_RFO_PEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.uZO6amXJwE/Vampire---4.8_10871
% 0.57/0.74  % (10986)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74  % (10986)Refutation not found, incomplete strategy% (10986)------------------------------
% 0.57/0.74  % (10986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10986)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10986)Memory used [KB]: 1017
% 0.57/0.74  % (10986)Time elapsed: 0.001 s
% 0.57/0.74  % (10986)Instructions burned: 2 (million)
% 0.57/0.74  % (10986)------------------------------
% 0.57/0.74  % (10986)------------------------------
% 0.57/0.74  % (10980)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (10982)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (10983)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (10985)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (10981)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (10987)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (10980)Refutation not found, incomplete strategy% (10980)------------------------------
% 0.57/0.74  % (10980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10982)Refutation not found, incomplete strategy% (10982)------------------------------
% 0.57/0.74  % (10982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10980)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10980)Memory used [KB]: 1017
% 0.57/0.74  % (10982)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10980)Time elapsed: 0.002 s
% 0.57/0.74  % (10982)Memory used [KB]: 1016
% 0.57/0.74  % (10982)Time elapsed: 0.002 s
% 0.57/0.74  % (10980)Instructions burned: 2 (million)
% 0.57/0.74  % (10982)Instructions burned: 2 (million)
% 0.57/0.74  % (10983)Refutation not found, incomplete strategy% (10983)------------------------------
% 0.57/0.74  % (10983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10983)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10983)Memory used [KB]: 1017
% 0.57/0.74  % (10983)Time elapsed: 0.002 s
% 0.57/0.74  % (10983)Instructions burned: 2 (million)
% 0.57/0.74  % (10985)Refutation not found, incomplete strategy% (10985)------------------------------
% 0.57/0.74  % (10985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10985)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10985)Memory used [KB]: 1017
% 0.57/0.74  % (10985)Time elapsed: 0.002 s
% 0.57/0.74  % (10985)Instructions burned: 2 (million)
% 0.57/0.74  % (10982)------------------------------
% 0.57/0.74  % (10982)------------------------------
% 0.57/0.74  % (10980)------------------------------
% 0.57/0.74  % (10980)------------------------------
% 0.57/0.74  % (10983)------------------------------
% 0.57/0.74  % (10983)------------------------------
% 0.57/0.74  % (10987)Refutation not found, incomplete strategy% (10987)------------------------------
% 0.57/0.74  % (10987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (10987)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (10985)------------------------------
% 0.57/0.74  % (10985)------------------------------
% 0.57/0.74  % (10987)Memory used [KB]: 1017
% 0.57/0.74  % (10987)Time elapsed: 0.002 s
% 0.57/0.74  % (10987)Instructions burned: 2 (million)
% 0.57/0.74  % (10987)------------------------------
% 0.57/0.74  % (10987)------------------------------
% 0.57/0.75  % (10984)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (10984)Refutation not found, incomplete strategy% (10984)------------------------------
% 0.57/0.75  % (10984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10984)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10984)Memory used [KB]: 1146
% 0.57/0.75  % (10984)Time elapsed: 0.003 s
% 0.57/0.75  % (10984)Instructions burned: 7 (million)
% 0.57/0.75  % (10984)------------------------------
% 0.57/0.75  % (10984)------------------------------
% 0.57/0.75  % (10988)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (10989)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75  % (10990)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.75  % (10991)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.75  % (10992)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.75  % (10990)Refutation not found, incomplete strategy% (10990)------------------------------
% 0.57/0.75  % (10990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10990)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10990)Memory used [KB]: 1017
% 0.57/0.75  % (10990)Time elapsed: 0.003 s
% 0.57/0.75  % (10990)Instructions burned: 2 (million)
% 0.57/0.75  % (10991)Refutation not found, incomplete strategy% (10991)------------------------------
% 0.57/0.75  % (10991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10991)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10991)Memory used [KB]: 1017
% 0.57/0.75  % (10991)Time elapsed: 0.002 s
% 0.57/0.75  % (10992)Refutation not found, incomplete strategy% (10992)------------------------------
% 0.57/0.75  % (10992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10992)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10992)Memory used [KB]: 1017
% 0.57/0.75  % (10992)Time elapsed: 0.003 s
% 0.57/0.75  % (10992)Instructions burned: 2 (million)
% 0.57/0.75  % (10990)------------------------------
% 0.57/0.75  % (10990)------------------------------
% 0.57/0.75  % (10991)Instructions burned: 2 (million)
% 0.57/0.75  % (10993)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.75  % (10992)------------------------------
% 0.57/0.75  % (10992)------------------------------
% 0.57/0.75  % (10991)------------------------------
% 0.57/0.75  % (10991)------------------------------
% 0.57/0.75  % (10989)Refutation not found, incomplete strategy% (10989)------------------------------
% 0.57/0.75  % (10989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10989)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10989)Memory used [KB]: 1116
% 0.57/0.75  % (10989)Time elapsed: 0.004 s
% 0.57/0.75  % (10989)Instructions burned: 7 (million)
% 0.57/0.75  % (10993)Refutation not found, incomplete strategy% (10993)------------------------------
% 0.57/0.75  % (10993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10993)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10993)Memory used [KB]: 1168
% 0.57/0.75  % (10993)Time elapsed: 0.003 s
% 0.57/0.75  % (10993)Instructions burned: 9 (million)
% 0.57/0.75  % (10989)------------------------------
% 0.57/0.75  % (10989)------------------------------
% 0.57/0.75  % (10993)------------------------------
% 0.57/0.75  % (10993)------------------------------
% 0.57/0.75  % (10995)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.75  % (10994)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.75  % (10996)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.75  % (10994)Refutation not found, incomplete strategy% (10994)------------------------------
% 0.57/0.75  % (10994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (10998)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.57/0.75  % (10994)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (10994)Memory used [KB]: 1018
% 0.57/0.75  % (10994)Time elapsed: 0.002 s
% 0.57/0.75  % (10994)Instructions burned: 2 (million)
% 0.57/0.75  % (10994)------------------------------
% 0.57/0.75  % (10994)------------------------------
% 0.57/0.76  % (10997)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.57/0.76  % (10998)Refutation not found, incomplete strategy% (10998)------------------------------
% 0.57/0.76  % (10998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (10998)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (10998)Memory used [KB]: 1144
% 0.57/0.76  % (10999)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.57/0.76  % (10998)Time elapsed: 0.002 s
% 0.57/0.76  % (10998)Instructions burned: 8 (million)
% 0.57/0.76  % (10998)------------------------------
% 0.57/0.76  % (10998)------------------------------
% 0.57/0.76  % (10995)Refutation not found, incomplete strategy% (10995)------------------------------
% 0.57/0.76  % (10995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (10995)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (10995)Memory used [KB]: 1164
% 0.57/0.76  % (10995)Time elapsed: 0.005 s
% 0.57/0.76  % (10995)Instructions burned: 10 (million)
% 0.57/0.76  % (10995)------------------------------
% 0.57/0.76  % (10995)------------------------------
% 0.57/0.76  % (11000)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.57/0.76  % (11001)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.76  % (11000)Refutation not found, incomplete strategy% (11000)------------------------------
% 0.57/0.76  % (11000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11000)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11000)Memory used [KB]: 1017
% 0.57/0.76  % (11000)Time elapsed: 0.003 s
% 0.57/0.76  % (11000)Instructions burned: 2 (million)
% 0.57/0.76  % (11000)------------------------------
% 0.57/0.76  % (11000)------------------------------
% 0.57/0.76  % (11002)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.57/0.76  % (11002)Refutation not found, incomplete strategy% (11002)------------------------------
% 0.57/0.76  % (11002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11002)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11002)Memory used [KB]: 1017
% 0.57/0.76  % (11002)Time elapsed: 0.002 s
% 0.57/0.76  % (11002)Instructions burned: 2 (million)
% 0.57/0.76  % (11002)------------------------------
% 0.57/0.76  % (11002)------------------------------
% 0.57/0.76  % (11001)Refutation not found, incomplete strategy% (11001)------------------------------
% 0.57/0.76  % (11001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11001)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11001)Memory used [KB]: 1172
% 0.57/0.76  % (11001)Time elapsed: 0.003 s
% 0.57/0.76  % (11001)Instructions burned: 10 (million)
% 0.57/0.76  % (11001)------------------------------
% 0.57/0.76  % (11001)------------------------------
% 0.57/0.76  % (11004)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.57/0.76  % (10996)Refutation not found, incomplete strategy% (10996)------------------------------
% 0.57/0.76  % (10996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (10996)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (10996)Memory used [KB]: 1227
% 0.57/0.76  % (10996)Time elapsed: 0.011 s
% 0.57/0.76  % (10996)Instructions burned: 20 (million)
% 0.57/0.76  % (10996)------------------------------
% 0.57/0.76  % (10996)------------------------------
% 0.57/0.76  % (11003)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.57/0.76  % (11004)Refutation not found, incomplete strategy% (11004)------------------------------
% 0.57/0.76  % (11004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11004)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11004)Memory used [KB]: 1017
% 0.57/0.76  % (11004)Time elapsed: 0.002 s
% 0.57/0.76  % (11004)Instructions burned: 2 (million)
% 0.57/0.76  % (11004)------------------------------
% 0.57/0.76  % (11004)------------------------------
% 0.57/0.77  % (11006)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.57/0.77  % (11007)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.57/0.77  % (11005)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.57/0.77  % (11003)Refutation not found, incomplete strategy% (11003)------------------------------
% 0.57/0.77  % (11003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (11003)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (11003)Memory used [KB]: 1162
% 0.57/0.77  % (11003)Time elapsed: 0.007 s
% 0.57/0.77  % (11003)Instructions burned: 10 (million)
% 0.57/0.77  % (11005)Refutation not found, incomplete strategy% (11005)------------------------------
% 0.57/0.77  % (11005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (11005)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (11003)------------------------------
% 0.57/0.77  % (11003)------------------------------
% 0.57/0.77  % (11005)Memory used [KB]: 1018
% 0.57/0.77  % (11005)Time elapsed: 0.002 s
% 0.57/0.77  % (11005)Instructions burned: 2 (million)
% 0.57/0.77  % (11005)------------------------------
% 0.57/0.77  % (11005)------------------------------
% 0.57/0.77  % (10999)Instruction limit reached!
% 0.57/0.77  % (10999)------------------------------
% 0.57/0.77  % (10999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (10999)Termination reason: Unknown
% 0.57/0.77  % (10999)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (10999)Memory used [KB]: 1258
% 0.57/0.77  % (10999)Time elapsed: 0.015 s
% 0.57/0.77  % (10999)Instructions burned: 32 (million)
% 0.57/0.77  % (10999)------------------------------
% 0.57/0.77  % (10999)------------------------------
% 0.57/0.77  % (10981)Instruction limit reached!
% 0.57/0.77  % (10981)------------------------------
% 0.57/0.77  % (10981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (10981)Termination reason: Unknown
% 0.57/0.77  % (10981)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (10981)Memory used [KB]: 1692
% 0.57/0.77  % (10981)Time elapsed: 0.028 s
% 0.57/0.77  % (10981)Instructions burned: 52 (million)
% 0.57/0.77  % (10981)------------------------------
% 0.57/0.77  % (10981)------------------------------
% 0.57/0.77  % (11008)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.57/0.77  % (11009)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.57/0.77  % (11010)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.57/0.77  % (10988)Instruction limit reached!
% 0.57/0.77  % (10988)------------------------------
% 0.57/0.77  % (10988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (10988)Termination reason: Unknown
% 0.57/0.77  % (10988)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (10988)Memory used [KB]: 1577
% 0.57/0.77  % (10988)Time elapsed: 0.029 s
% 0.57/0.77  % (10988)Instructions burned: 55 (million)
% 0.57/0.77  % (10988)------------------------------
% 0.57/0.77  % (10988)------------------------------
% 0.57/0.77  % (11011)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2996ds/360Mi)
% 0.57/0.78  % (11008)Refutation not found, incomplete strategy% (11008)------------------------------
% 0.57/0.78  % (11008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (11008)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (11008)Memory used [KB]: 1065
% 0.57/0.78  % (11008)Time elapsed: 0.004 s
% 0.57/0.78  % (11008)Instructions burned: 6 (million)
% 0.57/0.78  % (11008)------------------------------
% 0.57/0.78  % (11008)------------------------------
% 0.57/0.78  % (11012)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.57/0.78  % (11009)Refutation not found, incomplete strategy% (11009)------------------------------
% 0.57/0.78  % (11009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (11009)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (11009)Memory used [KB]: 1177
% 0.57/0.78  % (11009)Time elapsed: 0.007 s
% 0.57/0.78  % (11009)Instructions burned: 12 (million)
% 0.57/0.78  % (11012)Refutation not found, incomplete strategy% (11012)------------------------------
% 0.57/0.78  % (11012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (11012)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (11012)Memory used [KB]: 1017
% 0.57/0.78  % (11012)Time elapsed: 0.003 s
% 0.57/0.78  % (11009)------------------------------
% 0.57/0.78  % (11009)------------------------------
% 0.57/0.78  % (11012)Instructions burned: 2 (million)
% 0.57/0.78  % (11013)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.57/0.78  % (11012)------------------------------
% 0.57/0.78  % (11012)------------------------------
% 0.57/0.78  % (11013)Refutation not found, incomplete strategy% (11013)------------------------------
% 0.57/0.78  % (11013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (11013)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (11013)Memory used [KB]: 1017
% 0.57/0.78  % (11013)Time elapsed: 0.003 s
% 0.57/0.78  % (11013)Instructions burned: 2 (million)
% 0.57/0.78  % (11013)------------------------------
% 0.57/0.78  % (11013)------------------------------
% 0.57/0.78  % (11007)First to succeed.
% 0.57/0.78  % (11014)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.57/0.78  % (11014)Refutation not found, incomplete strategy% (11014)------------------------------
% 0.57/0.78  % (11014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (11014)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (11014)Memory used [KB]: 1018
% 0.57/0.78  % (11014)Time elapsed: 0.002 s
% 0.57/0.78  % (11014)Instructions burned: 2 (million)
% 0.57/0.78  % (11016)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.80/0.79  % (11014)------------------------------
% 0.80/0.79  % (11014)------------------------------
% 0.80/0.79  % (11015)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.80/0.79  % (11006)Instruction limit reached!
% 0.80/0.79  % (11006)------------------------------
% 0.80/0.79  % (11006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.79  % (11006)Termination reason: Unknown
% 0.80/0.79  % (11006)Termination phase: Saturation
% 0.80/0.79  
% 0.80/0.79  % (11006)Memory used [KB]: 1499
% 0.80/0.79  % (11006)Time elapsed: 0.021 s
% 0.80/0.79  % (11006)Instructions burned: 90 (million)
% 0.80/0.79  % (11006)------------------------------
% 0.80/0.79  % (11006)------------------------------
% 0.80/0.79  % (11015)Refutation not found, incomplete strategy% (11015)------------------------------
% 0.80/0.79  % (11015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.79  % (11015)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.79  
% 0.80/0.79  % (11015)Memory used [KB]: 1017
% 0.80/0.79  % (11015)Time elapsed: 0.002 s
% 0.80/0.79  % (11015)Instructions burned: 2 (million)
% 0.80/0.79  % (11015)------------------------------
% 0.80/0.79  % (11015)------------------------------
% 0.80/0.79  % (11016)Refutation not found, incomplete strategy% (11016)------------------------------
% 0.80/0.79  % (11016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.79  % (11016)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.79  
% 0.80/0.79  % (11016)Memory used [KB]: 1115
% 0.80/0.79  % (11016)Time elapsed: 0.005 s
% 0.80/0.79  % (11016)Instructions burned: 9 (million)
% 0.80/0.79  % (11018)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.80/0.79  % (11016)------------------------------
% 0.80/0.79  % (11016)------------------------------
% 0.80/0.79  % (11018)Refutation not found, incomplete strategy% (11018)------------------------------
% 0.80/0.79  % (11018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.79  % (11018)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.79  
% 0.80/0.79  % (11018)Memory used [KB]: 1017
% 0.80/0.79  % (11018)Time elapsed: 0.001 s
% 0.80/0.79  % (11018)Instructions burned: 2 (million)
% 0.80/0.79  % (11017)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.80/0.79  % (11018)------------------------------
% 0.80/0.79  % (11018)------------------------------
% 0.80/0.79  % (11007)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10979"
% 0.80/0.79  % (11021)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.80/0.79  % (11007)Refutation found. Thanks to Tanya!
% 0.80/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.80/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.80  % (11007)------------------------------
% 0.80/0.80  % (11007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.80  % (11007)Termination reason: Refutation
% 0.80/0.80  
% 0.80/0.80  % (11007)Memory used [KB]: 1319
% 0.80/0.80  % (11007)Time elapsed: 0.025 s
% 0.80/0.80  % (11007)Instructions burned: 61 (million)
% 0.80/0.80  % (10979)Success in time 0.435 s
% 0.80/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------