%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP355-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:05:23 EDT 2024

% Result   : Unsatisfiable 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  999 (  11 unt;   0 def)
%            Number of atoms       : 3811 ( 733 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4950 (2138   ~;2800   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  13 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  183 ( 183   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1594,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f78,f391,f435,f440,f503,f519,f630,f652,f672,f696,f736,f757,f795,f801,f805,f867,f966,f972,f974,f1008,f1010,f1021,f1024,f1030,f1035,f1038,f1041,f1045,f1048,f1050,f1052,f1054,f1057,f1059,f1061,f1146,f1163,f1207,f1210,f1215,f1221,f1225,f1229,f1233,f1241,f1245,f1251,f1253,f1255,f1257,f1259,f1261,f1263,f1265,f1267,f1270,f1272,f1274,f1276,f1278,f1280,f1282,f1285,f1287,f1289,f1291,f1293,f1295,f1298,f1300,f1303,f1305,f1307,f1309,f1311,f1313,f1315,f1317,f1319,f1321,f1323,f1325,f1327,f1329,f1331,f1333,f1335,f1337,f1339,f1341,f1343,f1345,f1347,f1350,f1353,f1355,f1358,f1361,f1364,f1366,f1368,f1371,f1373,f1375,f1377,f1379,f1381,f1383,f1386,f1389,f1391,f1394,f1396,f1398,f1400,f1402,f1404,f1406,f1408,f1410,f1412,f1414,f1416,f1418,f1420,f1422,f1424,f1426,f1428,f1430,f1432,f1434,f1436,f1438,f1440,f1442,f1444,f1446,f1448,f1450,f1452,f1454,f1456,f1458,f1460,f1462,f1464,f1466,f1468,f1470,f1472,f1474,f1476,f1478,f1480,f1482,f1484,f1486,f1488,f1490,f1492,f1494,f1496,f1498,f1500,f1502,f1505,f1509,f1513,f1517,f1519,f1521,f1523,f1525,f1527,f1529,f1531,f1533,f1535,f1537,f1539,f1541,f1543,f1545,f1547,f1549,f1551,f1553,f1555,f1557,f1559,f1561,f1563,f1565,f1567,f1569,f1571,f1573,f1575,f1577,f1579,f1581,f1583,f1585,f1587,f1589,f1591,f1593]) ).

fof(f1593,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f74,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356,f501]) ).

fof(f501,plain,
    ( identity != sk_c7
    | spl0_8 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_8
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f356,plain,
    ( identity = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f355,f2]) ).

fof(f355,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f312,f85]) ).

fof(f312,plain,
    ( sk_c5 = multiply(inverse(sk_c8),sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f43]) ).

fof(f397,plain,
    ( sk_c3 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f396,f1]) ).

fof(f396,plain,
    ( sk_c4 = multiply(identity,sk_c3)
    | spl0_1 ),
    inference(forward_demodulation,[],[f386,f1]) ).

fof(f386,plain,
    ( multiply(identity,sk_c3) = multiply(identity,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f146,f340]) ).

fof(f358,plain,
    ( sk_c3 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f314,f55]) ).

fof(f314,plain,
    ( sk_c4 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f55,f146]) ).

fof(f37,plain,
    ( sk_c6 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f21,f29]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f4,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c2)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f15,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f340,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f297,f2]) ).

fof(f297,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f79]) ).

fof(f85,plain,
    ( sk_c6 = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f83,f43]) ).

fof(f83,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f60,f44]) ).

fof(f39,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f29]) ).

fof(f29,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f471,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f55,f274]) ).

fof(f274,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f55,f1]) ).

fof(f425,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f424,f1]) ).

fof(f424,plain,
    ( multiply(sk_c3,identity) = multiply(identity,sk_c3)
    | spl0_1 ),
    inference(forward_demodulation,[],[f413,f356]) ).

fof(f413,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c5,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f195,f358]) ).

fof(f421,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f420,f1]) ).

fof(f420,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f411,f356]) ).

fof(f411,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f159,f358]) ).

fof(f419,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f409,f356]) ).

fof(f409,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | spl0_1 ),
    inference(superposition,[],[f91,f358]) ).

fof(f417,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f416,f356]) ).

fof(f416,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f406,f85]) ).

fof(f406,plain,
    ( sk_c5 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f44,f358]) ).

fof(f380,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1 ),
    inference(superposition,[],[f79,f340]) ).

fof(f377,plain,
    ( sk_c3 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f376,f1]) ).

fof(f376,plain,
    ( sk_c4 = multiply(identity,sk_c3)
    | spl0_1 ),
    inference(forward_demodulation,[],[f371,f1]) ).

fof(f371,plain,
    ( multiply(identity,sk_c3) = multiply(identity,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f246,f356]) ).

fof(f366,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f202,f356]) ).

fof(f364,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f120,f356]) ).

fof(f363,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1 ),
    inference(superposition,[],[f90,f356]) ).

fof(f372,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f362,f85]) ).

fof(f362,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | spl0_1 ),
    inference(superposition,[],[f43,f356]) ).

fof(f360,plain,
    ( sk_c3 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f317,f55]) ).

fof(f317,plain,
    ( sk_c4 = multiply(inverse(sk_c5),multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f55,f246]) ).

fof(f359,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f316,f85]) ).

fof(f316,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f40]) ).

fof(f315,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f88]) ).

fof(f357,plain,
    ( identity = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f313,f2]) ).

fof(f313,plain,
    ( sk_c5 = multiply(inverse(sk_c5),sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f55,f203]) ).

fof(f354,plain,
    ( identity = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f311,f2]) ).

fof(f311,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f90]) ).

fof(f353,plain,
    ( identity = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f310,f2]) ).

fof(f310,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f55,f120]) ).

fof(f307,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f38]) ).

fof(f342,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f299,f2]) ).

fof(f299,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f55,f202]) ).

fof(f339,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f296,f2]) ).

fof(f296,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f55,f119]) ).

fof(f291,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f55,f55]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f289,f37]) ).

fof(f289,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c3),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f55,f48]) ).

fof(f331,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | spl0_1 ),
    inference(forward_demodulation,[],[f287,f85]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f60]) ).

fof(f285,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f93]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f284,f55]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f55,f160]) ).

fof(f283,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f59]) ).

fof(f276,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f55,f3]) ).

fof(f275,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f55,f2]) ).

fof(f55,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f248,f3]) ).

fof(f248,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = multiply(multiply(sk_c5,sk_c3),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f246]) ).

fof(f246,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c5,sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f197,f195]) ).

fof(f237,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,multiply(sk_c3,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f236,f1]) ).

fof(f236,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,multiply(sk_c3,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f231,f3]) ).

fof(f231,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c5,sk_c3),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f223]) ).

fof(f232,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c5,multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f228,f195]) ).

fof(f228,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c5,multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f159,f223]) ).

fof(f223,plain,
    ( identity = multiply(sk_c6,multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f221,f85]) ).

fof(f221,plain,
    ( identity = multiply(sk_c8,multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f60,f195]) ).

fof(f225,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f224,f1]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c4,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f222,f3]) ).

fof(f222,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(multiply(sk_c5,sk_c3),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f195]) ).

fof(f220,plain,
    ( identity = multiply(sk_c6,multiply(sk_c5,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f93,f195]) ).

fof(f195,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c5,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f159,f38]) ).

fof(f219,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f203]) ).

fof(f203,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f196,f91]) ).

fof(f196,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f159,f90]) ).

fof(f216,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f211,f48]) ).

fof(f211,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f48,f160]) ).

fof(f215,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f210,f152]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f152,f160]) ).

fof(f214,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f209,f159]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c5,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f159,f160]) ).

fof(f160,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f53,f85]) ).

fof(f207,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f202]) ).

fof(f202,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f193,f91]) ).

fof(f193,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f159,f79]) ).

fof(f204,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f199,f85]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f159]) ).

fof(f198,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f93,f159]) ).

fof(f197,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c5,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f159,f88]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f159,f93]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f159,f59]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f50,f85]) ).

fof(f163,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f152,f93]) ).

fof(f161,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f152,f59]) ).

fof(f152,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f49,f85]) ).

fof(f148,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f147,f3]) ).

fof(f147,plain,
    ( ! [X0] : multiply(multiply(sk_c7,sk_c3),X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f146]) ).

fof(f146,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f116,f114]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f48,f93]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f60,f85]) ).

fof(f133,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,multiply(sk_c3,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f132,f1]) ).

fof(f132,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,multiply(sk_c3,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f130,f3]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c7,sk_c3),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f125]) ).

fof(f131,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f129,f114]) ).

fof(f129,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f48,f125]) ).

fof(f125,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f59,f114]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f126,f3]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c3),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f114]) ).

fof(f114,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c7,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f48,f38]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f120]) ).

fof(f120,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f115,f42]) ).

fof(f115,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f48,f90]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f119]) ).

fof(f119,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f112,f42]) ).

fof(f112,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f48,f79]) ).

fof(f117,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f59,f48]) ).

fof(f116,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f48,f88]) ).

fof(f110,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f48,f59]) ).

fof(f48,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f91]) ).

fof(f91,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f44,f85]) ).

fof(f102,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f90]) ).

fof(f90,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f43,f85]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f89]) ).

fof(f89,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f41,f85]) ).

fof(f98,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f97,f1]) ).

fof(f97,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f88]) ).

fof(f88,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f40,f85]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f40]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f79]) ).

fof(f79,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f59,f42]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f38]) ).

fof(f26,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c6 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8 ),
    inference(equality_resolution,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(sk_c8,X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8
      | multiply(X7,sk_c8) != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f50,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f49,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f44,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f29]) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f22,f29]) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f29]) ).

fof(f41,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f18,f29]) ).

fof(f40,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f38,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f37]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f74,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_5
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1591,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1590]) ).

fof(f1590,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356,f501]) ).

fof(f1589,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1588,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f756,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356]) ).

fof(f756,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_12
  <=> sk_c7 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1587,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f498,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356]) ).

fof(f498,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1585,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f762,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356]) ).

fof(f762,plain,
    ( sk_c2 = sk_c4
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f760,f710]) ).

fof(f710,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f706]) ).

fof(f706,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f34]) ).

fof(f34,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f760,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f55,f759]) ).

fof(f759,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f752]) ).

fof(f752,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_11
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1583,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397,f356]) ).

fof(f1581,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358,f397]) ).

fof(f1579,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1578]) ).

fof(f1578,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f352,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f397,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358]) ).

fof(f352,plain,
    ( sk_c2 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f309,f55]) ).

fof(f309,plain,
    ( sk_c3 = multiply(inverse(sk_c5),multiply(sk_c5,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f238]) ).

fof(f238,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c5,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f194,f195]) ).

fof(f194,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c5,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f159,f87]) ).

fof(f87,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f36,f85]) ).

fof(f36,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f34]) ).

fof(f1577,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f351,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f397,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358]) ).

fof(f351,plain,
    ( sk_c2 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f308,f55]) ).

fof(f308,plain,
    ( sk_c3 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f140]) ).

fof(f140,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f113,f114]) ).

fof(f113,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f87]) ).

fof(f1575,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f397,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37,f358]) ).

fof(f1573,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f397,f358,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13,f37]) ).

fof(f1571,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6,f13]) ).

fof(f1569,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f13,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8,f6]) ).

fof(f1567,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f13,f6,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9,f8]) ).

fof(f1565,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f13,f8,f6,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10,f9]) ).

fof(f1563,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f13,f9,f8,f6,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16,f10]) ).

fof(f1561,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1560]) ).

fof(f1560,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f13,f9,f8,f6,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4,f16]) ).

fof(f1559,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f9,f8,f6,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5,f4]) ).

fof(f1557,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f9,f8,f6,f4,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11,f5]) ).

fof(f1555,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1554,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f9,f8,f6,f4,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17,f11]) ).

fof(f1553,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1552]) ).

fof(f1552,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f11,f9,f8,f6,f4,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12,f17]) ).

fof(f1551,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f11,f9,f8,f6,f4,f17,f10,f274,f471,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15,f12]) ).

fof(f1549,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1548,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f13,f11,f9,f8,f6,f4,f17,f10,f274,f471,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7,f15]) ).

fof(f1547,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f67,f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f17,f10,f274,f471,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7]) ).

fof(f67,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_3
  <=> multiply(sk_c7,sk_c6) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1545,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f17,f10,f274,f471,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14,f7]) ).

fof(f1543,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f17,f10,f7,f274,f471,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23,f14]) ).

fof(f1541,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f17,f10,f7,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22,f23]) ).

fof(f1539,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f17,f10,f7,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20,f22]) ).

fof(f1537,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f17,f10,f7,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18,f20]) ).

fof(f1535,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f17,f10,f7,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24,f18]) ).

fof(f1533,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1532]) ).

fof(f1532,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340,f24]) ).

fof(f1531,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1530,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340]) ).

fof(f1529,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85,f340]) ).

fof(f1527,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39,f85]) ).

fof(f1525,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1524,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29,f39]) ).

fof(f1523,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1522]) ).

fof(f1522,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21,f29]) ).

fof(f1521,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f274,f471,f14,f12,f501,f356,f397,f358,f37,f21]) ).

fof(f1519,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1518]) ).

fof(f1518,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f752,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f501,f356,f397,f358,f37]) ).

fof(f1517,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1516]) ).

fof(f1516,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f755,f685,f502,f810,f811,f813,f820,f821,f822,f840,f850,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f524,f1083,f1069,f1223,f1227,f1231,f1369,f1150,f1362,f1359,f1356,f1247,f1351,f1348,f921,f915,f596,f538,f536,f591,f1283,f590,f593,f914,f918,f1503,f1507,f1511,f1515]) ).

fof(f1515,plain,
    ( identity != multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(forward_demodulation,[],[f1514,f502]) ).

fof(f1514,plain,
    ( sk_c7 != multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(forward_demodulation,[],[f755,f1069]) ).

fof(f1511,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(forward_demodulation,[],[f1510,f502]) ).

fof(f1510,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(forward_demodulation,[],[f792,f1069]) ).

fof(f792,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_12 ),
    inference(subsumption_resolution,[],[f11,f755]) ).

fof(f1507,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1506,f1069]) ).

fof(f1506,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | identity = multiply(sk_c2,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1043,f1069]) ).

fof(f1503,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1235,f502]) ).

fof(f1235,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1234,f1069]) ).

fof(f1234,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f18,f1069]) ).

fof(f918,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f878]) ).

fof(f914,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f878,f2]) ).

fof(f593,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f558]) ).

fof(f590,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f558,f2]) ).

fof(f1283,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f1069]) ).

fof(f591,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f558,f546]) ).

fof(f536,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f524]) ).

fof(f538,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f536]) ).

fof(f596,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f546,f558]) ).

fof(f915,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f878,f848]) ).

fof(f921,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f848,f878]) ).

fof(f1348,plain,
    ( sk_c6 = inverse(sk_c2)
    | identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1249,f1069]) ).

fof(f1249,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1055,f1069]) ).

fof(f1351,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1248,f1069]) ).

fof(f1248,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c8,sk_c5)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1066,f1069]) ).

fof(f1247,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1036,f1069]) ).

fof(f1356,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1246,f1069]) ).

fof(f1246,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1022,f1069]) ).

fof(f1359,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f21,f1069]) ).

fof(f1362,plain,
    ( sk_c6 = inverse(sk_c4)
    | identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1211,f1069]) ).

fof(f1211,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1046,f1069]) ).

fof(f1150,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1149,f502]) ).

fof(f1149,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f14,f1069]) ).

fof(f1369,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1237,f1069]) ).

fof(f1237,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f24,f1069]) ).

fof(f1231,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1230,f502]) ).

fof(f1230,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f20,f1069]) ).

fof(f1227,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1226,f1069]) ).

fof(f1226,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c5)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f22,f1069]) ).

fof(f1223,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1222,f1069]) ).

fof(f1222,plain,
    ( sk_c6 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f23,f1069]) ).

fof(f1069,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f521,f522,f583,f584,f585,f600,f604,f605,f636,f654,f674,f468,f502,f810,f811,f813,f524,f904,f909,f910,f934,f940,f941,f987,f989,f1022,f1055,f1046,f1043,f1066,f1036,f1032]) ).

fof(f1083,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1082,f1]) ).

fof(f1082,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f67,f502]) ).

fof(f524,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f523,f1]) ).

fof(f523,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f67,f502]) ).

fof(f1074,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f521,f522,f583,f584,f585,f600,f604,f605,f636,f654,f674,f468,f502,f810,f811,f813,f524,f904,f909,f910,f934,f940,f941,f987,f1055,f1046,f1043,f1066,f1036,f1032,f1069,f1027,f1022,f1016,f1013,f1073,f989]) ).

fof(f989,plain,
    ( sk_c6 = sk_c8
    | sk_c6 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f988,f1]) ).

fof(f988,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | sk_c6 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f8,f502]) ).

fof(f1073,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f521,f522,f583,f584,f585,f600,f604,f605,f636,f654,f674,f468,f502,f810,f811,f813,f524,f904,f909,f910,f934,f940,f941,f987,f989,f1055,f1046,f1043,f1066,f1036,f1032,f1069,f1027,f1022,f1016,f1013]) ).

fof(f1013,plain,
    ( sk_c6 = sk_c8
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1012,f1]) ).

fof(f1012,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f9,f502]) ).

fof(f1016,plain,
    ( sk_c6 = sk_c8
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1015,f1]) ).

fof(f1015,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f10,f502]) ).

fof(f1022,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f16,f502]) ).

fof(f1027,plain,
    ( sk_c6 = sk_c8
    | identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1026,f1]) ).

fof(f1026,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1025,f502]) ).

fof(f1025,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f4,f502]) ).

fof(f1032,plain,
    ( sk_c6 = sk_c8
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1031,f1]) ).

fof(f1031,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f5,f502]) ).

fof(f1036,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f981,f502]) ).

fof(f981,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f13,f502]) ).

fof(f1066,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f15,f502]) ).

fof(f1043,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1042,f502]) ).

fof(f1042,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f11,f502]) ).

fof(f1046,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f17,f502]) ).

fof(f1055,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f12,f502]) ).

fof(f987,plain,
    ( sk_c6 = sk_c8
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f986,f1]) ).

fof(f986,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f985,f502]) ).

fof(f985,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6,f502]) ).

fof(f941,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(identity))),multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f934]) ).

fof(f940,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f934]) ).

fof(f934,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(identity))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f933,f502]) ).

fof(f933,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f468,f524]) ).

fof(f939,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f938,f1]) ).

fof(f938,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f899]) ).

fof(f937,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f899]) ).

fof(f899,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f876]) ).

fof(f919,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f878]) ).

fof(f878,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f877,f1]) ).

fof(f877,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f848]) ).

fof(f910,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(identity)),multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f904]) ).

fof(f909,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(identity))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f904]) ).

fof(f904,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f810,f524]) ).

fof(f901,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f900,f1]) ).

fof(f900,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f876]) ).

fof(f876,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f848]) ).

fof(f895,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f839]) ).

fof(f839,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f536]) ).

fof(f848,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f538]) ).

fof(f850,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f849,f1]) ).

fof(f849,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f538]) ).

fof(f840,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f536]) ).

fof(f822,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f710,f524]) ).

fof(f821,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f706,f524]) ).

fof(f820,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f705,f524]) ).

fof(f813,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f812,f1]) ).

fof(f812,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f67,f502]) ).

fof(f811,plain,
    ( sk_c6 = multiply(inverse(identity),sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f450,f502]) ).

fof(f810,plain,
    ( sk_c8 = multiply(inverse(inverse(identity)),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f458,f502]) ).

fof(f502,plain,
    ( identity = sk_c7
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f685,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f536]) ).

fof(f755,plain,
    ( sk_c7 != multiply(sk_c2,sk_c8)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f740,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f705]) ).

fof(f705,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f34]) ).

fof(f720,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f719,f1]) ).

fof(f719,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f710]) ).

fof(f718,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f710]) ).

fof(f712,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f711,f1]) ).

fof(f711,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f706]) ).

fof(f468,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c8)
    | ~ spl0_3 ),
    inference(superposition,[],[f55,f458]) ).

fof(f688,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f687,f1]) ).

fof(f687,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f538]) ).

fof(f686,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f538]) ).

fof(f684,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f536]) ).

fof(f677,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f524]) ).

fof(f675,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f468,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f34,f502,f521,f522,f524,f536,f538,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674]) ).

fof(f674,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f673,f502]) ).

fof(f673,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f655,f524]) ).

fof(f655,plain,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f12,f524]) ).

fof(f654,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f653,f502]) ).

fof(f653,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f14,f524]) ).

fof(f636,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f576,f502]) ).

fof(f576,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f575,f524]) ).

fof(f575,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f17,f524]) ).

fof(f605,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(identity))),multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f600]) ).

fof(f604,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f600]) ).

fof(f600,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(identity))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f599,f502]) ).

fof(f599,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f468,f524]) ).

fof(f603,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f602,f1]) ).

fof(f602,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f580]) ).

fof(f601,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f580]) ).

fof(f580,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f556]) ).

fof(f594,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f558]) ).

fof(f558,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f557,f1]) ).

fof(f557,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f546]) ).

fof(f585,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(identity)),multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f583]) ).

fof(f584,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(identity))),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f583]) ).

fof(f583,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f521,f524]) ).

fof(f582,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f581,f1]) ).

fof(f581,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f556]) ).

fof(f556,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f546]) ).

fof(f570,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f537]) ).

fof(f537,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f536]) ).

fof(f546,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f538]) ).

fof(f548,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f547,f1]) ).

fof(f547,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f538]) ).

fof(f522,plain,
    ( sk_c6 = multiply(inverse(identity),sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f450,f502]) ).

fof(f521,plain,
    ( sk_c8 = multiply(inverse(inverse(identity)),sk_c6)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f458,f502]) ).

fof(f483,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f474]) ).

fof(f475,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f286,f305]) ).

fof(f487,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f485,f1]) ).

fof(f485,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f474]) ).

fof(f486,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f484,f34]) ).

fof(f484,plain,
    ( sk_c8 = multiply(inverse(sk_c2),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f474]) ).

fof(f474,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f286,f2]) ).

fof(f481,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f286]) ).

fof(f480,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f305,f286]) ).

fof(f478,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f286]) ).

fof(f477,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f286]) ).

fof(f476,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f286,f55]) ).

fof(f286,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f58]) ).

fof(f469,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f458]) ).

fof(f458,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c7)),sk_c6)
    | ~ spl0_3 ),
    inference(superposition,[],[f55,f450]) ).

fof(f467,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f466,f1]) ).

fof(f466,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f455]) ).

fof(f465,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f455]) ).

fof(f455,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f305]) ).

fof(f459,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c8,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f450]) ).

fof(f450,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_3 ),
    inference(superposition,[],[f55,f67]) ).

fof(f457,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f456,f1]) ).

fof(f456,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f305]) ).

fof(f305,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f36]) ).

fof(f451,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f67]) ).

fof(f447,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f24,f12,f5,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f14,f10,f446,f7]) ).

fof(f446,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f7,f24,f12,f5,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f14,f10]) ).

fof(f445,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f14,f7,f24,f12,f17,f5,f10,f23,f22,f20,f18,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4]) ).

fof(f444,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f14,f7,f24,f12,f17,f5,f10,f23,f22,f20,f18,f4,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9,f442,f8,f443,f6]) ).

fof(f443,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f14,f7,f24,f12,f17,f5,f10,f23,f22,f20,f18,f6,f4,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9,f442,f8]) ).

fof(f442,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f21,f14,f7,f24,f12,f17,f5,f10,f23,f22,f20,f18,f8,f6,f4,f1,f2,f19,f3,f26,f55,f274,f275,f276,f291,f67,f16,f15,f13,f11,f9]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f36]) ).

fof(f1513,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1512,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1511,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1509,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1508]) ).

fof(f1508,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1507,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1505,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1503,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1502,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1501,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f918,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1500,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1499,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f914,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1498,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1497,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f593,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1496,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f590,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1494,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1493]) ).

fof(f1493,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1301,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1301,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f29,f1069]) ).

fof(f1492,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f356,f397,f358,f37]) ).

fof(f1490,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f356,f397,f358]) ).

fof(f1488,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1487]) ).

fof(f1487,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f351,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f356,f397]) ).

fof(f1486,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f352,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f356,f397]) ).

fof(f1484,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f356,f397]) ).

fof(f1482,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1480,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1283,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1478,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f591,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1476,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f536,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1474,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1473,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f538,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1472,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1471]) ).

fof(f1471,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f596,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1470,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f915,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1468,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f921,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1466,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1465,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1268,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1268,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f77,f502]) ).

fof(f77,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_6
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1464,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1463,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f851,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f851,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f77,f502]) ).

fof(f1462,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1461,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1216,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1216,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f858,plain,
    ( identity != identity
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f2]) ).

fof(f1460,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f862,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f862,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f1458,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1457,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1077,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1077,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f77,f502]) ).

fof(f1456,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1455]) ).

fof(f1455,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1219,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1219,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1139]) ).

fof(f1139,plain,
    ( identity != identity
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f2]) ).

fof(f1454,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1453,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1348,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1452,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1451]) ).

fof(f1451,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1351,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1450,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1449,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1247,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1448,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1447]) ).

fof(f1447,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1356,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1446,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1359,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1444,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1443]) ).

fof(f1443,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1362,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1442,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1150,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1440,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1296,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1296,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f1069]) ).

fof(f1438,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1437]) ).

fof(f1437,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1369,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1436,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1435]) ).

fof(f1435,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1231,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1434,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1227,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1432,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1431]) ).

fof(f1431,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1223,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1430,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1429,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1101,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1101,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f1097]) ).

fof(f1097,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f752,f1069]) ).

fof(f1428,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1097,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1426,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1425,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1384,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1384,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1072,f1069]) ).

fof(f1072,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1016,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f758,f759,f763,f752]) ).

fof(f763,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f761,f1]) ).

fof(f761,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f759]) ).

fof(f758,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_11 ),
    inference(superposition,[],[f55,f752]) ).

fof(f1424,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1387,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1387,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1064,f1069]) ).

fof(f1064,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1046,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f758,f759,f763,f752]) ).

fof(f1422,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1421]) ).

fof(f1421,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f762,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1420,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1392,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1392,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f752,f1069]) ).

fof(f1418,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1417,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1124,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1124,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1122,f707]) ).

fof(f707,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f660]) ).

fof(f660,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f498]) ).

fof(f1122,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f55,f1101]) ).

fof(f1416,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1415,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f922,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f922,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f707,f878]) ).

fof(f1414,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f875,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f875,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f707,f848]) ).

fof(f1412,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1411]) ).

fof(f1411,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f874,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f874,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f848,f707]) ).

fof(f1410,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f916,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f916,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f878,f707]) ).

fof(f1408,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f498,f5,f1,f2,f19,f29,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f372,f363,f364,f366,f377,f340,f380,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f755,f37,f358,f397,f356]) ).

fof(f1406,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f498,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1218,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1137]) ).

fof(f1137,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f851,f1103]) ).

fof(f1143,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1137]) ).

fof(f1190,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c2),X0)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f55,f1121]) ).

fof(f1121,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1120,f1]) ).

fof(f1120,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f1103]) ).

fof(f1141,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,sk_c6))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f3]) ).

fof(f1135,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c2),X0)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1134,f1]) ).

fof(f1134,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c2),multiply(identity,X0))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f1119]) ).

fof(f1133,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f55,f1119]) ).

fof(f1119,plain,
    ( sk_c6 = multiply(inverse(sk_c2),identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f55,f1103]) ).

fof(f1103,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1039,f1069]) ).

fof(f1111,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1070,f1069]) ).

fof(f1106,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1065,f1069]) ).

fof(f1080,plain,
    ( sk_c6 != inverse(identity)
    | identity != sk_c6
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f864,f502]) ).

fof(f864,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f854,f524]) ).

fof(f854,plain,
    ( identity != sk_c8
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f67]) ).

fof(f1078,plain,
    ( sk_c6 != inverse(inverse(inverse(identity)))
    | identity != sk_c6
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f865,f502]) ).

fof(f865,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f855,f524]) ).

fof(f855,plain,
    ( identity != sk_c8
    | sk_c6 != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f458]) ).

fof(f857,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f1]) ).

fof(f1062,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f859,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f274]) ).

fof(f1070,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f502,f987,f989,f1022,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027]) ).

fof(f1039,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f756,f502]) ).

fof(f1065,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f502,f987,f989,f1022,f1036,f1039,f1055,f1046,f1043]) ).

fof(f861,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,sk_c6))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f3]) ).

fof(f1404,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f916,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1402,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f874,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1400,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f875,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1398,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1397,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f922,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1396,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1124,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1394,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1393,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1392,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1391,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1390]) ).

fof(f1390,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f762,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1389,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1388]) ).

fof(f1388,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1387,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1386,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1384,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1383,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1097,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1381,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1380]) ).

fof(f1380,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1101,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1379,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1188,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1188,plain,
    ( sk_c4 = multiply(sk_c2,identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1121,f1101]) ).

fof(f1377,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227,f1223]) ).

fof(f1375,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1374]) ).

fof(f1374,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1223,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231,f1227]) ).

fof(f1373,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1223,f1227,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369,f1231]) ).

fof(f1371,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150,f1369]) ).

fof(f1368,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1296,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150]) ).

fof(f1366,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362,f1150]) ).

fof(f1364,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359,f1362]) ).

fof(f1361,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356,f1359]) ).

fof(f1358,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1357,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247,f1356]) ).

fof(f1355,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351,f1247]) ).

fof(f1353,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1352]) ).

fof(f1352,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348,f1351]) ).

fof(f1350,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219,f1348]) ).

fof(f1347,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1346]) ).

fof(f1346,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218,f1219]) ).

fof(f1345,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1344]) ).

fof(f1344,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077,f1218]) ).

fof(f1343,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1342,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143,f1077]) ).

fof(f1341,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1340]) ).

fof(f1340,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862,f1143]) ).

fof(f1339,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1338,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216,f862]) ).

fof(f1337,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1336]) ).

fof(f1336,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1283,f591,f536,f538,f596,f915,f921,f1268,f851,f1216]) ).

fof(f1335,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f1283,f591,f536,f538,f596,f915,f921,f1268,f851]) ).

fof(f1333,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1283,f591,f536,f538,f596,f915,f921,f1268]) ).

fof(f1331,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

fof(f1330,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f1283,f591,f536,f538,f596,f915,f921]) ).

fof(f1329,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1328,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f1283,f591,f536,f538,f596,f915]) ).

fof(f1327,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1326]) ).

fof(f1326,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f1283,f591,f536,f538,f596]) ).

fof(f1325,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1324,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f1283,f591,f536,f538]) ).

fof(f1323,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1322]) ).

fof(f1322,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f1283,f591,f536]) ).

fof(f1321,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1320]) ).

fof(f1320,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f1283,f591]) ).

fof(f1319,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1318,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1317,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f356,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1315,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1314,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f397,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1313,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1312,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f352,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1311,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1310]) ).

fof(f1310,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f351,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1309,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1308]) ).

fof(f1308,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f358,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1307,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f37,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1305,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1304]) ).

fof(f1304,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1301,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f521,f522,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f677,f684,f686,f688,f468,f34,f706,f712,f710,f718,f720,f705,f740,f593,f590,f685,f77,f502,f810,f811,f813,f820,f821,f822,f840,f850,f861,f848,f839,f895,f876,f901,f904,f909,f910,f878,f919,f899,f937,f939,f934,f940,f941,f987,f1055,f1046,f1043,f1065,f1039,f1066,f1036,f1032,f1027,f1070,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1106,f1111,f1103,f1119,f1133,f1135,f1141,f1150,f1121,f1190,f1223,f1227,f1231,f1219,f1218,f1077,f1143,f862,f1216,f851,f1268,f921,f915,f596,f538,f536,f591,f1283]) ).

fof(f1303,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1301,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1217,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1152]) ).

fof(f1152,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f638]) ).

fof(f1156,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1152]) ).

fof(f1243,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1242,f1069]) ).

fof(f1242,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f21,f497]) ).

fof(f1239,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f1238,f1069]) ).

fof(f1238,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1237,f1212]) ).

fof(f1154,plain,
    ( sk_c6 = multiply(inverse(sk_c1),identity)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f638]) ).

fof(f1212,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f751,f1069]) ).

fof(f1160,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1155,f1]) ).

fof(f1155,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f638]) ).

fof(f638,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f550,f502]) ).

fof(f550,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f549,f524]) ).

fof(f549,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f14,f497]) ).

fof(f497,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f639,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f539,f502]) ).

fof(f539,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f520,f524]) ).

fof(f1151,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f497,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f639,f638,f649,f654,f674,f468,f502,f810,f811,f813,f904,f909,f910,f934,f940,f941,f987,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f524,f1083,f1069,f1150]) ).

fof(f751,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f649,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f644,f1]) ).

fof(f644,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f638]) ).

fof(f520,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f497,f12]) ).

fof(f1300,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1299,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f37,f497]) ).

fof(f1298,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1297]) ).

fof(f1297,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1296,f1212]) ).

fof(f1295,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1294]) ).

fof(f1294,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f358,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1293,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f351,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1291,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f1290,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f352,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1289,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1288,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f397,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1287,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1286]) ).

fof(f1286,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f356,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1285,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1284]) ).

fof(f1284,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1283,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1282,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1281]) ).

fof(f1281,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f591,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1280,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1279,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f536,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1278,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1277]) ).

fof(f1277,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f538,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1276,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1275]) ).

fof(f1275,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f596,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1274,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1273]) ).

fof(f1273,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f915,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1272,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1271,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f921,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1270,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851,f1268]) ).

fof(f1267,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1266]) ).

fof(f1266,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216,f851]) ).

fof(f1265,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1264]) ).

fof(f1264,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217,f1216]) ).

fof(f1263,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862,f1217]) ).

fof(f1261,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1260,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156,f862]) ).

fof(f1259,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077,f1156]) ).

fof(f1257,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1143,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077]) ).

fof(f1255,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219,f1077]) ).

fof(f1253,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1218,f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f1077,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219]) ).

fof(f1251,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1250]) ).

fof(f1250,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f1077,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239,f1243,f1219]) ).

fof(f1245,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1244,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f1077,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239,f1243]) ).

fof(f1241,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f450,f459,f458,f469,f274,f471,f14,f12,f520,f521,f522,f583,f584,f585,f600,f604,f605,f636,f649,f654,f674,f468,f77,f502,f810,f811,f813,f861,f904,f909,f910,f934,f940,f941,f987,f751,f1055,f1046,f1043,f1066,f1036,f1032,f1027,f1022,f1016,f1013,f1073,f989,f1074,f859,f1062,f857,f1077,f524,f1078,f1080,f1083,f1069,f862,f851,f1141,f1150,f1151,f639,f497,f638,f1160,f1156,f1212,f1154,f1223,f1227,f1231,f1239]) ).

fof(f1233,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1231,f5,f1,f2,f19,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f356,f372,f363,f364,f366,f377,f340,f380,f397,f358,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f751]) ).

fof(f1229,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1227,f5,f1,f2,f19,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f356,f372,f363,f364,f366,f377,f340,f380,f397,f358,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f751]) ).

fof(f1225,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1223,f5,f1,f2,f19,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f356,f372,f363,f364,f366,f377,f340,f380,f397,f358,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f751]) ).

fof(f1221,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1154,f5,f1,f2,f19,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f49,f50,f53,f26,f59,f79,f82,f60,f85,f88,f98,f89,f100,f90,f102,f91,f104,f48,f110,f116,f117,f119,f123,f120,f124,f114,f128,f125,f131,f133,f93,f136,f146,f148,f152,f161,f163,f159,f188,f190,f197,f198,f204,f202,f207,f160,f214,f215,f216,f203,f219,f195,f220,f225,f223,f232,f237,f246,f251,f55,f275,f276,f283,f329,f285,f331,f334,f291,f339,f342,f307,f353,f354,f357,f315,f359,f360,f356,f372,f363,f364,f366,f377,f340,f380,f397,f358,f417,f419,f421,f425,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f751]) ).

fof(f1215,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1213,f1069]) ).

fof(f1213,plain,
    ( sk_c6 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1204,f30]) ).

fof(f30,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f1204,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1198,f668]) ).

fof(f668,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f667,f524]) ).

fof(f667,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f663,f30]) ).

fof(f663,plain,
    ( sk_c6 = multiply(inverse(sk_c1),identity)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f658]) ).

fof(f658,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f657,f502]) ).

fof(f657,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f656,f524]) ).

fof(f656,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f655,f640]) ).

fof(f640,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f33,f524]) ).

fof(f33,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f1198,plain,
    ( sk_c6 != multiply(sk_c6,identity)
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f871,f638]) ).

fof(f871,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(sk_c6,multiply(X7,sk_c6))
        | sk_c6 != inverse(X7) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f870,f524]) ).

fof(f870,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f74,f524]) ).

fof(f1210,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1208,f1097]) ).

fof(f1208,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1199,f668]) ).

fof(f1199,plain,
    ( sk_c6 != multiply(sk_c6,identity)
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f871,f1175]) ).

fof(f1175,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f638,f1173]) ).

fof(f1173,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1086,f1122]) ).

fof(f1086,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f452,f1069]) ).

fof(f452,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f449]) ).

fof(f449,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f30]) ).

fof(f1207,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1205,f1097]) ).

fof(f1205,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1204,f1173]) ).

fof(f1163,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1161,f1069]) ).

fof(f1161,plain,
    ( sk_c6 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1156,f30]) ).

fof(f1146,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1144,f498]) ).

fof(f1144,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1136]) ).

fof(f1136,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f1102]) ).

fof(f1102,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f658,f829]) ).

fof(f829,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f817,f707]) ).

fof(f817,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f452,f524]) ).

fof(f1061,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1060,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046,f1055,f33]) ).

fof(f1033,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1032,f996]) ).

fof(f1028,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1027,f996]) ).

fof(f1017,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1016,f996]) ).

fof(f1014,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1013,f996]) ).

fof(f998,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f990]) ).

fof(f997,plain,
    ( sk_c5 = multiply(inverse(sk_c8),sk_c6)
    | spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f990]) ).

fof(f990,plain,
    ( sk_c6 = multiply(sk_c8,sk_c5)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f989,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12]) ).

fof(f996,plain,
    ( sk_c6 != sk_c8
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f995,f1]) ).

fof(f995,plain,
    ( sk_c8 != multiply(identity,sk_c6)
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f68,f502]) ).

fof(f513,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f510]) ).

fof(f510,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f12,f33]) ).

fof(f68,plain,
    ( multiply(sk_c7,sk_c6) != sk_c8
    | spl0_3 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f1059,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1058,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f752,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046,f1055]) ).

fof(f1057,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046,f1055]) ).

fof(f1054,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f504,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046]) ).

fof(f504,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f452]) ).

fof(f1052,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f506,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046]) ).

fof(f506,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f505,f1]) ).

fof(f505,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f452]) ).

fof(f1050,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1049,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f507,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046]) ).

fof(f507,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f448]) ).

fof(f448,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f30]) ).

fof(f1048,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043,f1046]) ).

fof(f1045,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1044,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036,f1043]) ).

fof(f1041,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1039,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036]) ).

fof(f1038,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1037]) ).

fof(f1037,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033,f1036]) ).

fof(f1035,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12,f502,f987,f989,f996,f990,f997,f998,f1014,f1017,f1022,f1028,f1033]) ).

fof(f1030,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1028,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12]) ).

fof(f1024,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1022,f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f33,f510,f513,f12]) ).

fof(f1021,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f5,f1,f2,f19,f3,f26,f68,f55,f275,f276,f291,f16,f15,f13,f11,f9,f8,f6,f4,f23,f22,f20,f18,f17,f10,f7,f24,f21,f274,f471,f14,f12,f751]) ).

fof(f1010,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1004,f996]) ).

fof(f1004,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f784,f1002]) ).

fof(f1002,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f990,f1001]) ).

fof(f1001,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f994,f996]) ).

fof(f994,plain,
    ( sk_c6 = sk_c8
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f993,f1]) ).

fof(f993,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f992,f502]) ).

fof(f992,plain,
    ( identity = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f991,f768]) ).

fof(f768,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f702,f2]) ).

fof(f702,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f506,f460]) ).

fof(f460,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f452,f305]) ).

fof(f991,plain,
    ( multiply(sk_c2,sk_c8) = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f9,f762]) ).

fof(f784,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f705,f768]) ).

fof(f1008,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1003,f996]) ).

fof(f1003,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1002,f784]) ).

fof(f974,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f958,f536]) ).

fof(f958,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f957]) ).

fof(f957,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f871,f839]) ).

fof(f972,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f971]) ).

fof(f971,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f959,f498]) ).

fof(f959,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f956]) ).

fof(f956,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f871,f659]) ).

fof(f659,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f498]) ).

fof(f966,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f965,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f964,f536]) ).

fof(f964,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f949,f697]) ).

fof(f697,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f692,f536]) ).

fof(f692,plain,
    ( sk_c6 = multiply(inverse(sk_c2),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f690]) ).

fof(f690,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f689,f5,f1,f2,f19,f36,f3,f58,f26,f55,f275,f276,f291,f16,f15,f13,f11,f9,f442,f8,f443,f6,f444,f4,f445,f23,f22,f20,f18,f17,f10,f446,f7,f447,f24,f21,f67,f451,f305,f457,f450,f459,f455,f465,f467,f458,f468,f469,f274,f471,f286,f476,f477,f478,f480,f481,f474,f486,f487,f475,f483,f14,f12,f34,f502,f521,f522,f524,f548,f546,f537,f570,f556,f582,f583,f584,f585,f558,f594,f580,f601,f603,f600,f604,f605,f636,f654,f674,f675,f596,f593,f591,f590,f677,f536,f684,f685,f538,f686,f688]) ).

fof(f689,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f636,f460]) ).

fof(f949,plain,
    ( sk_c6 != multiply(sk_c6,identity)
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f871,f690]) ).

fof(f867,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f866,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f863,f536]) ).

fof(f863,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f856]) ).

fof(f856,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f851,f690]) ).

fof(f805,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f803,f501]) ).

fof(f803,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f756,f768]) ).

fof(f801,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f799,f501]) ).

fof(f799,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f798,f768]) ).

fof(f798,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f797,f460]) ).

fof(f797,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f796,f501]) ).

fof(f796,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f768]) ).

fof(f795,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f793,f755]) ).

fof(f793,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(forward_demodulation,[],[f792,f460]) ).

fof(f757,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f704,f32,f28,f754,f750]) ).

fof(f704,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f460]) ).

fof(f736,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f726,f70,f733,f729]) ).

fof(f729,plain,
    ( spl0_9
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f733,plain,
    ( spl0_10
  <=> sk_c7 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f70,plain,
    ( spl0_4
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f726,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != inverse(identity)
    | ~ spl0_4 ),
    inference(inner_rewriting,[],[f722]) ).

fof(f722,plain,
    ( sk_c7 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f71,f1]) ).

fof(f71,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f696,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f695]) ).

fof(f695,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f694,f536]) ).

fof(f694,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f691]) ).

fof(f691,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f608,f690]) ).

fof(f608,plain,
    ( ! [X4] :
        ( identity != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f607,f502]) ).

fof(f607,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f606,f524]) ).

fof(f606,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f71,f524]) ).

fof(f672,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f670,f524]) ).

fof(f670,plain,
    ( sk_c6 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f665,f30]) ).

fof(f665,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f661]) ).

fof(f661,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c1)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f608,f658]) ).

fof(f652,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f651]) ).

fof(f651,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f650,f524]) ).

fof(f650,plain,
    ( sk_c6 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f645,f30]) ).

fof(f645,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f641]) ).

fof(f641,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f608,f638]) ).

fof(f630,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f629]) ).

fof(f629,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f620,f536]) ).

fof(f620,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f613]) ).

fof(f613,plain,
    ( identity != identity
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f608,f541]) ).

fof(f541,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f540,f502]) ).

fof(f540,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f539,f460]) ).

fof(f519,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f517,f501]) ).

fof(f517,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f515,f2]) ).

fof(f515,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f55,f514]) ).

fof(f514,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f512,f30]) ).

fof(f512,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f55,f510]) ).

fof(f503,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f492,f32,f28,f500,f496]) ).

fof(f492,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f491,f474]) ).

fof(f491,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f460]) ).

fof(f440,plain,
    ( spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f438,f37]) ).

fof(f438,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f437,f358]) ).

fof(f437,plain,
    ( sk_c6 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f428,f356]) ).

fof(f428,plain,
    ( identity != sk_c5
    | sk_c6 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f401,f91]) ).

fof(f401,plain,
    ( ! [X4] :
        ( identity != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f400,f340]) ).

fof(f400,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f399,f85]) ).

fof(f399,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f71,f85]) ).

fof(f435,plain,
    ( spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f434,plain,
    ( $false
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f433,f37]) ).

fof(f433,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f426,f340]) ).

fof(f426,plain,
    ( identity != sk_c7
    | sk_c6 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f401,f42]) ).

fof(f391,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f389,f85]) ).

fof(f389,plain,
    ( sk_c6 != sk_c8
    | spl0_1
    | spl0_3 ),
    inference(forward_demodulation,[],[f379,f1]) ).

fof(f379,plain,
    ( sk_c8 != multiply(identity,sk_c6)
    | spl0_1
    | spl0_3 ),
    inference(superposition,[],[f68,f340]) ).

fof(f78,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f26,f76,f73,f70,f70,f66]) ).

fof(f35,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f32,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP355-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:38:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (30058)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (30061)WARNING: value z3 for option sas not known
% 0.15/0.37  % (30062)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (30059)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (30061)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (30060)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (30063)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37  % (30064)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (30065)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.44  % (30061)First to succeed.
% 0.22/0.45  TRYING [6]
% 0.22/0.46  % (30061)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30058"
% 0.22/0.47  % (30061)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48  % (30061)------------------------------
% 0.22/0.48  % (30061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48  % (30061)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (30061)Memory used [KB]: 1736
% 0.22/0.48  % (30061)Time elapsed: 0.091 s
% 0.22/0.48  % (30061)Instructions burned: 169 (million)
% 0.22/0.48  % (30058)Success in time 0.115 s
%------------------------------------------------------------------------------