%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP344-1 : 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 : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 12:02:34 EDT 2024

% Result   : Unsatisfiable 0.17s 0.42s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   37
% Syntax   : Number of formulae    : 1353 (  14 unt;   0 def)
%            Number of atoms       : 5595 ( 820 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 7556 (3314   ~;4226   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  225 ( 225   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2075,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f95,f234,f244,f248,f250,f281,f291,f295,f297,f311,f348,f361,f372,f384,f390,f446,f480,f483,f487,f491,f493,f585,f608,f644,f650,f672,f675,f679,f682,f696,f706,f708,f710,f712,f714,f716,f718,f721,f723,f725,f727,f729,f732,f734,f736,f738,f740,f742,f744,f747,f750,f752,f754,f756,f758,f760,f762,f765,f767,f769,f771,f773,f775,f777,f780,f782,f784,f786,f788,f790,f792,f795,f797,f841,f843,f847,f850,f853,f887,f889,f894,f898,f901,f908,f911,f913,f917,f919,f923,f946,f953,f957,f960,f962,f966,f989,f1047,f1049,f1107,f1110,f1114,f1117,f1257,f1261,f1265,f1291,f1293,f1298,f1302,f1304,f1306,f1308,f1310,f1312,f1314,f1316,f1318,f1320,f1322,f1324,f1327,f1329,f1331,f1333,f1335,f1339,f1343,f1346,f1350,f1356,f1360,f1365,f1367,f1369,f1371,f1375,f1377,f1380,f1383,f1385,f1387,f1390,f1392,f1394,f1396,f1398,f1400,f1404,f1406,f1408,f1410,f1412,f1414,f1416,f1418,f1420,f1423,f1426,f1428,f1431,f1433,f1435,f1437,f1439,f1443,f1445,f1449,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,f1503,f1505,f1508,f1510,f1512,f1514,f1516,f1518,f1520,f1522,f1524,f1526,f1528,f1530,f1532,f1535,f1537,f1539,f1541,f1543,f1545,f1548,f1551,f1554,f1556,f1558,f1560,f1562,f1565,f1567,f1569,f1571,f1583,f1585,f1587,f1590,f1593,f1595,f1680,f1706,f1709,f1747,f1748,f1749,f1783,f1867,f1869,f1873,f1875,f1877,f1879,f1881,f1884,f1888,f1891,f1895,f1898,f1900,f1902,f1904,f1906,f1908,f1910,f1912,f1914,f1916,f1918,f1920,f1923,f1925,f1927,f1929,f1931,f1933,f1937,f1939,f1941,f1943,f1945,f1947,f1949,f1951,f1953,f1955,f1957,f1959,f1961,f1963,f1965,f1967,f1969,f1971,f1973,f1975,f1981,f1983,f1985,f1987,f1989,f1991,f1993,f1995,f1997,f1999,f2001,f2003,f2005,f2007,f2009,f2012,f2014,f2016,f2018,f2020,f2022,f2024,f2026,f2028,f2030,f2032,f2035,f2037,f2041,f2043,f2045,f2047,f2049,f2051,f2053,f2056,f2059,f2062,f2064,f2066,f2068,f2070,f2072,f2074]) ).

fof(f2074,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f306,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17,f121,f360]) ).

fof(f360,plain,
    ( sk_c6 != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_10
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f121,plain,
    ( sk_c6 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f105]) ).

fof(f120,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f35]) ).

fof(f119,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f79]) ).

fof(f117,plain,
    ( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f114]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f19,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f16,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f1791,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f25]) ).

fof(f1789,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f18,f25]) ).

fof(f33,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f25]) ).

fof(f164,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f34]) ).

fof(f105,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f104,f79]) ).

fof(f25,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_1
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1234,plain,
    sk_c7 = multiply(inverse(sk_c6),sk_c5),
    inference(superposition,[],[f47,f4]) ).

fof(f1227,plain,
    ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0)),
    inference(superposition,[],[f47,f40]) ).

fof(f1724,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f47,f1223,f1224,f1225,f1226,f33,f164,f19,f20,f16,f14,f18,f163,f194,f25,f105,f121,f1716,f1719,f1721,f1722,f1723]) ).

fof(f1723,plain,
    ( sk_c7 = inverse(identity)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f163]) ).

fof(f1722,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f47,f1223,f1224,f1225,f1226,f33,f164,f19,f20,f16,f14,f18,f163,f194,f25,f105,f121,f1716,f1719,f1721]) ).

fof(f1721,plain,
    ( sk_c7 = inverse(identity)
    | sk_c5 = multiply(sk_c4,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f8,f163]) ).

fof(f1719,plain,
    ( sk_c7 = inverse(identity)
    | sk_c5 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f7,f163]) ).

fof(f1716,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f30,f163]) ).

fof(f194,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f183,f121]) ).

fof(f183,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f30,f163]) ).

fof(f163,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f123]) ).

fof(f18,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f1226,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f47,f47]) ).

fof(f1225,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f47,f2]) ).

fof(f1224,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f47,f3]) ).

fof(f1223,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f47,f1]) ).

fof(f47,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f39,f1]) ).

fof(f39,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f49]) ).

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f11,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f12,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f205,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f33,f164]) ).

fof(f171,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f34,f150]) ).

fof(f170,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f123,f150]) ).

fof(f166,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f150]) ).

fof(f178,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f177,f150]) ).

fof(f177,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f121]) ).

fof(f165,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f150]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f48]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f147,f1]) ).

fof(f147,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f133]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f154,f1]) ).

fof(f154,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f144]) ).

fof(f144,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f142,f32]) ).

fof(f142,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f123]) ).

fof(f149,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f148,f133]) ).

fof(f148,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f146,f121]) ).

fof(f146,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f133]) ).

fof(f133,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f129,f34]) ).

fof(f129,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f96,f121]) ).

fof(f145,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f143,f1]) ).

fof(f143,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f32,f121]) ).

fof(f141,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f113]) ).

fof(f113,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f36,f105]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f110]) ).

fof(f110,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f105]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f121]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f105]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f121]) ).

fof(f118,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f114]) ).

fof(f114,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f109,f105]) ).

fof(f112,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f105]) ).

fof(f111,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f105]) ).

fof(f108,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f104]) ).

fof(f109,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f107,f50]) ).

fof(f107,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f104]) ).

fof(f106,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f79,f104]) ).

fof(f104,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f71,f76]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,multiply(sk_c2,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c7,multiply(sk_c2,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f101,f3]) ).

fof(f101,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c7,sk_c2),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f96]) ).

fof(f100,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f96]) ).

fof(f96,plain,
    ( identity = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f73]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f98,f1]) ).

fof(f98,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f97,f3]) ).

fof(f97,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c2),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f73]) ).

fof(f73,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
    | spl0_1 ),
    inference(superposition,[],[f43,f34]) ).

fof(f22,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c5 != multiply(X6,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c6 != multiply(X4,sk_c5) ),
    inference(global_subsumption,[],[f4,f7,f6,f15,f8,f5,f11,f19,f14,f10,f13,f16,f18,f12,f9,f20,f17,f21]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f79]) ).

fof(f81,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f79]) ).

fof(f79,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f76]) ).

fof(f80,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f76]) ).

fof(f76,plain,
    ( sk_c6 = multiply(sk_c1,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f72,f54]) ).

fof(f72,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f43,f4]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f43]) ).

fof(f71,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f43,f50]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f43,f40]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f43,f48]) ).

fof(f43,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f35]) ).

fof(f68,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f67,f1]) ).

fof(f67,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f66,f3]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = multiply(multiply(sk_c6,identity),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f58]) ).

fof(f58,plain,
    ( multiply(sk_c5,sk_c1) = multiply(sk_c6,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f32]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f62]) ).

fof(f62,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f60,f50]) ).

fof(f60,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f54]) ).

fof(f40,plain,
    ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
    inference(superposition,[],[f3,f4]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f54]) ).

fof(f54,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f35]) ).

fof(f49,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f42,f1]) ).

fof(f42,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f32]) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f50,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f48,f36]) ).

fof(f48,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f41,f1]) ).

fof(f41,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f34]) ).

fof(f44,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f36]) ).

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(f36,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f18,f25]) ).

fof(f35,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f25]) ).

fof(f34,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f32,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f30]) ).

fof(f30,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f6,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

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(f4,axiom,
    multiply(sk_c6,sk_c7) = sk_c5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f21,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c5 != multiply(X6,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c6 != multiply(X4,sk_c5)
      | multiply(sk_c6,sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f7,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f306,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2072,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2071]) ).

fof(f2071,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f659,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17,f121,f360]) ).

fof(f659,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f350]) ).

fof(f350,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f306]) ).

fof(f628,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f627,f1]) ).

fof(f627,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f625]) ).

fof(f625,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f355]) ).

fof(f355,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl0_9
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2070,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1798,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17,f121,f360]) ).

fof(f1798,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1797,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f312,f314,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f1227,f1234,f310]) ).

fof(f310,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_8
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f314,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f313,f1]) ).

fof(f313,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f312]) ).

fof(f312,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f310]) ).

fof(f1797,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f19,f659]) ).

fof(f2068,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17,f121,f360]) ).

fof(f2066,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2065,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17,f121]) ).

fof(f2064,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2063,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1619,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1619,plain,
    ( sk_c6 = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1617,f1]) ).

fof(f1617,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f379,f163]) ).

fof(f379,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_13
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2062,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2061]) ).

fof(f2061,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2060,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2060,plain,
    ( sk_c6 = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1716,f355]) ).

fof(f2059,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2057,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2057,plain,
    ( sk_c6 = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1722,f355]) ).

fof(f2056,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2055]) ).

fof(f2055,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2054,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2054,plain,
    ( sk_c6 = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1724,f355]) ).

fof(f2053,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f440,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f440,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_15
  <=> sk_c6 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2051,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f366,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f366,plain,
    ( sk_c6 = inverse(inverse(sk_c6))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_11
  <=> sk_c6 = inverse(inverse(sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2049,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1731,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1731,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1730,f1]) ).

fof(f1730,plain,
    ( multiply(sk_c7,sk_c7) = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1166,f163]) ).

fof(f1166,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f4]) ).

fof(f1132,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f379]) ).

fof(f2047,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f665,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f665,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f4,f628]) ).

fof(f2045,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f657,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f657,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f4]) ).

fof(f2043,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f383,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f383,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_14
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2041,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2039,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2039,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2038,f1]) ).

fof(f2038,plain,
    ( multiply(sk_c7,identity) = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1818,f163]) ).

fof(f1818,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,identity)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f1751]) ).

fof(f1751,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f355]) ).

fof(f2037,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1819,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1819,plain,
    ( identity = multiply(inverse(sk_c6),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f47,f1751]) ).

fof(f2035,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2033,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2033,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1839,f1]) ).

fof(f1839,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1829,f163]) ).

fof(f1829,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f1752]) ).

fof(f1752,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1750,f1]) ).

fof(f1750,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f47,f355]) ).

fof(f2032,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1833,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1833,plain,
    ( ! [X0] : multiply(inverse(sk_c6),X0) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f47,f1752]) ).

fof(f2030,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f392,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f392,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f379]) ).

fof(f2028,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f414,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f414,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f410]) ).

fof(f410,plain,
    ( sk_c6 = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f404,f392]) ).

fof(f404,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f4]) ).

fof(f394,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f379]) ).

fof(f2026,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2025]) ).

fof(f2025,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1831,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1831,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f4,f1752]) ).

fof(f2024,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2023]) ).

fof(f2023,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1830,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1830,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f40,f1752]) ).

fof(f2022,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2021,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1827,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1827,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f1752,f4]) ).

fof(f2020,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1826,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f1826,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f1752,f40]) ).

fof(f2018,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13,f17]) ).

fof(f2016,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2015]) ).

fof(f2015,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19,f13]) ).

fof(f2014,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2013]) ).

fof(f2013,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1715,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19]) ).

fof(f1715,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f618,f163]) ).

fof(f618,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f410,f444]) ).

fof(f444,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_16
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2012,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2011]) ).

fof(f2011,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2010,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19]) ).

fof(f2010,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f618,f163]) ).

fof(f2009,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f444,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19]) ).

fof(f2007,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2006]) ).

fof(f2006,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f105,f164,f33,f1789,f1791,f16,f20,f19]) ).

fof(f2005,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f105,f164,f33,f1789,f1791,f16,f20]) ).

fof(f2003,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f105,f164,f33,f1789,f1791,f16]) ).

fof(f2001,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2000]) ).

fof(f2000,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f105,f164,f33,f1789,f1791]) ).

fof(f1999,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f1998,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f105,f164,f33,f1789]) ).

fof(f1997,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f105,f164,f33]) ).

fof(f1995,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1994]) ).

fof(f1994,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f105,f164]) ).

fof(f1993,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1992]) ).

fof(f1992,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f164,f105]) ).

fof(f1991,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f310,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f164,f105]) ).

fof(f1989,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1720,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f164,f105]) ).

fof(f1720,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1719,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f312,f314,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f310]) ).

fof(f1987,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1710,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f164,f105]) ).

fof(f1710,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f410,f163]) ).

fof(f1985,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f91,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f12,f11,f10,f15,f13,f59,f9,f17,f360,f47,f1223,f1224,f1225,f1226,f14,f18,f163,f194,f121,f1716,f1719,f1721,f1722,f1723,f1724,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f164,f105]) ).

fof(f91,plain,
    ( ! [X6] :
        ( sk_c5 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_5
  <=> ! [X6] :
        ( sk_c5 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1983,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33,f305]) ).

fof(f305,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f322,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f320]) ).

fof(f320,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f16,f305]) ).

fof(f319,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f317]) ).

fof(f317,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f13,f305]) ).

fof(f1981,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f1980,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1979,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1979,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f444,f359]) ).

fof(f359,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1975,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1974,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1786,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1786,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f444,f359]) ).

fof(f1973,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1856,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1856,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f501,f1752]) ).

fof(f501,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f414,f359]) ).

fof(f1971,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1855,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1855,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1854,f1752]) ).

fof(f1854,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f414,f359]) ).

fof(f1969,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1851,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1851,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1771,f1752]) ).

fof(f1771,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1731,f359]) ).

fof(f1967,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f91,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1965,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1882,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1882,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1831,f359]) ).

fof(f1963,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1962]) ).

fof(f1962,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1886,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1886,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1885,f1752]) ).

fof(f1885,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1830,f359]) ).

fof(f1961,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1960]) ).

fof(f1960,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1889,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1889,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1827,f359]) ).

fof(f1959,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1893,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1893,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1892,f1752]) ).

fof(f1892,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1826,f359]) ).

fof(f1957,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1956,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1896,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1896,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1732,f1752]) ).

fof(f1732,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f4,f359]) ).

fof(f1955,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1710,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1953,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1720,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1951,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f310,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1949,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1948]) ).

fof(f1948,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f538,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f538,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f410,f523]) ).

fof(f523,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f519,f1]) ).

fof(f519,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f513]) ).

fof(f513,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f511,f32]) ).

fof(f511,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f495]) ).

fof(f495,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f32,f359]) ).

fof(f1947,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1946,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f532,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f532,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f523,f410]) ).

fof(f1945,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1944]) ).

fof(f1944,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f105,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1943,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1942,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1785,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1785,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f657,f359]) ).

fof(f1941,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1784,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1784,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f665,f359]) ).

fof(f1939,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f164,f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1937,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789,f33]) ).

fof(f1933,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f33,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791,f1789]) ).

fof(f1931,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1930,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f33,f14,f18,f1227,f1234,f25,f19,f20,f16,f1791]) ).

fof(f1929,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f33,f14,f18,f1227,f1234,f25,f19,f20,f16]) ).

fof(f1927,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f33,f16,f14,f18,f1227,f1234,f25,f19,f20]) ).

fof(f1925,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f34,f35,f36,f3,f44,f48,f50,f53,f40,f43,f69,f70,f71,f22,f73,f99,f12,f11,f10,f15,f317,f319,f320,f322,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f305,f33,f20,f16,f14,f18,f1227,f1234,f25,f19]) ).

fof(f1923,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1921,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1825,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1820,f1]) ).

fof(f1820,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1751]) ).

fof(f445,plain,
    ( sk_c7 != sk_c5
    | spl0_16 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f1921,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_10
    | spl0_16 ),
    inference(forward_demodulation,[],[f445,f359]) ).

fof(f1920,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f1795,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1795,plain,
    ( sk_c6 = sk_c5
    | sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1794,f1]) ).

fof(f1794,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f659]) ).

fof(f1918,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1917]) ).

fof(f1917,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1784,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1916,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1785,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1914,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1913,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f105,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1912,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1911]) ).

fof(f1911,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f532,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1910,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f538,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1908,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1907]) ).

fof(f1907,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f310,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1906,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1905]) ).

fof(f1905,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f1720,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1904,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1903]) ).

fof(f1903,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f1798,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1902,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1901,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f1790,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1790,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1789,f659]) ).

fof(f1900,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1899]) ).

fof(f1899,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f1710,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1898,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1897]) ).

fof(f1897,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1896,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1895,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1893,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1891,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1889,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1888,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1887]) ).

fof(f1887,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1886,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1884,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1883,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_16 ),
    inference(global_subsumption,[],[f1882,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1881,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | spl0_16 ),
    inference(global_subsumption,[],[f91,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1879,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1878,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f1851,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1877,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f1855,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1875,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f1856,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f445,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f665,f657,f1227,f1234,f355,f1751,f1825,f1752]) ).

fof(f1873,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1871,f355]) ).

fof(f1871,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1870,f163]) ).

fof(f1870,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1861,f359]) ).

fof(f1861,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1850,f379]) ).

fof(f1850,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1849,f1788]) ).

fof(f1788,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1787,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f17,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f444,f1227,f1234,f359,f1786,f1733,f1732]) ).

fof(f1733,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f40,f359]) ).

fof(f1787,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | sk_c6 = sk_c5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1726,f359]) ).

fof(f1726,plain,
    ( sk_c6 = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1725,f1]) ).

fof(f1725,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f659]) ).

fof(f1849,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f91,f1788]) ).

fof(f1869,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1864,f1753]) ).

fof(f1753,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f440,f359]) ).

fof(f1864,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1860]) ).

fof(f1860,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f1850,f1752]) ).

fof(f1867,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1866]) ).

fof(f1866,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1865,f355]) ).

fof(f1865,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1857]) ).

fof(f1857,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f1850,f1]) ).

fof(f1783,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1781,f498]) ).

fof(f498,plain,
    ( identity != sk_c6
    | ~ spl0_10
    | spl0_12 ),
    inference(superposition,[],[f371,f359]) ).

fof(f371,plain,
    ( identity != sk_c7
    | spl0_12 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl0_12
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1781,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_14 ),
    inference(forward_demodulation,[],[f1776,f2]) ).

fof(f1776,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_14 ),
    inference(superposition,[],[f47,f1734]) ).

fof(f1734,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_14 ),
    inference(forward_demodulation,[],[f1732,f1727]) ).

fof(f1727,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f350,f352,f9,f449,f452,f17,f625,f628,f655,f663,f667,f829,f827,f47,f1223,f1224,f1225,f1226,f1230,f1237,f306,f447,f19,f1573,f20,f1575,f16,f1578,f14,f1580,f18,f1581,f659,f448,f1711,f1712,f1713,f1714,f828,f355,f1636,f1632,f1625,f665,f657,f1717,f1718,f382,f1726]) ).

fof(f382,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1718,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1717,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f14,f18,f355,f665,f657]) ).

fof(f1717,plain,
    ( sk_c6 = inverse(identity)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f13,f659]) ).

fof(f1625,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f306,f659]) ).

fof(f1632,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f1578,f659]) ).

fof(f1636,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f1580,f659]) ).

fof(f828,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f306,f659]) ).

fof(f1714,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f447,f659]) ).

fof(f1713,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f1573,f659]) ).

fof(f1712,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f1575,f659]) ).

fof(f1711,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f1581,f659]) ).

fof(f448,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_7
    | spl0_14 ),
    inference(superposition,[],[f352,f447]) ).

fof(f1581,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f1573,f20,f1575,f16,f1578,f14,f1580,f18]) ).

fof(f1580,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f18,f447,f19,f1573,f20,f1575,f16,f1578,f14]) ).

fof(f1578,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f18,f14,f447,f19,f1573,f20,f1575,f16]) ).

fof(f1575,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f447,f19,f1573,f20]) ).

fof(f1573,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f447,f19]) ).

fof(f447,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_14 ),
    inference(subsumption_resolution,[],[f17,f382]) ).

fof(f1237,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f47,f350]) ).

fof(f1230,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f47,f352]) ).

fof(f827,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f350,f659]) ).

fof(f829,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f826,f1]) ).

fof(f826,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f352,f659]) ).

fof(f667,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f350,f628]) ).

fof(f663,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f352,f628]) ).

fof(f655,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f352]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_7
    | spl0_14 ),
    inference(superposition,[],[f3,f448]) ).

fof(f449,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | spl0_14 ),
    inference(superposition,[],[f3,f447]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f351,f1]) ).

fof(f351,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f350]) ).

fof(f1749,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1744,f358,f28,f24,f354]) ).

fof(f1744,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1724,f359]) ).

fof(f1748,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1743,f358,f28,f24,f354]) ).

fof(f1743,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1722,f359]) ).

fof(f1747,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1741,f358,f28,f24,f354]) ).

fof(f1741,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1716,f359]) ).

fof(f1709,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1707,f1624]) ).

fof(f1624,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1623,f1533]) ).

fof(f1533,plain,
    ( identity = sk_c6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f359,f370]) ).

fof(f370,plain,
    ( identity = sk_c7
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1623,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f33,f659]) ).

fof(f1707,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1703,f1624]) ).

fof(f1703,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1702]) ).

fof(f1702,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1685,f2]) ).

fof(f1685,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1684,f1603]) ).

fof(f1603,plain,
    ( identity = sk_c5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1602,f370]) ).

fof(f1602,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1597,f1]) ).

fof(f1597,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f4,f1533]) ).

fof(f1684,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1683,f1533]) ).

fof(f1683,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f91,f1603]) ).

fof(f1706,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1705]) ).

fof(f1705,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1704,f1624]) ).

fof(f1704,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1700]) ).

fof(f1700,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1685,f1]) ).

fof(f1680,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1679]) ).

fof(f1679,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1678,f1624]) ).

fof(f1678,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1599,f1624]) ).

fof(f1599,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f367,f1533]) ).

fof(f367,plain,
    ( sk_c6 != inverse(inverse(sk_c6))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1595,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281,f1588,f1591,f355]) ).

fof(f1591,plain,
    ( identity = sk_c5
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f665,f370]) ).

fof(f1588,plain,
    ( identity = sk_c5
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f657,f370]) ).

fof(f1281,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_12
    | spl0_15 ),
    inference(superposition,[],[f441,f370]) ).

fof(f1429,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f13,f370]) ).

fof(f1424,plain,
    ( identity = inverse(sk_c1)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f7,f370]) ).

fof(f1421,plain,
    ( identity = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f8,f370]) ).

fof(f1289,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1278,f1]) ).

fof(f1278,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f40,f370]) ).

fof(f1277,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f4,f370]) ).

fof(f1344,plain,
    ( identity = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1234,f370]) ).

fof(f1348,plain,
    ( ! [X0] : multiply(inverse(sk_c6),multiply(sk_c5,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1347,f1]) ).

fof(f1347,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1227,f370]) ).

fof(f1402,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | identity = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1401,f370]) ).

fof(f1401,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f5,f370]) ).

fof(f1381,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f17,f370]) ).

fof(f441,plain,
    ( sk_c6 != inverse(sk_c7)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1593,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f355,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281,f1588,f1591]) ).

fof(f1590,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f355,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281,f1588]) ).

fof(f1587,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f659,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f355,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281]) ).

fof(f1585,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f828,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f355,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281]) ).

fof(f1583,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f11,f10,f15,f13,f9,f441,f17,f625,f628,f355,f47,f1223,f1224,f1225,f1226,f370,f1381,f19,f1402,f20,f1348,f1344,f1277,f1289,f1421,f1424,f16,f1429,f14,f18,f1281]) ).

fof(f1571,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105,f164,f163,f33,f25]) ).

fof(f356,plain,
    ( sk_c6 != inverse(identity)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1569,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105,f164,f163,f33]) ).

fof(f1567,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f194,f356]) ).

fof(f1565,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1563,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105,f164,f163]) ).

fof(f1563,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f121,f370]) ).

fof(f1562,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105,f164,f163]) ).

fof(f1560,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105,f164]) ).

fof(f1558,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19,f105]) ).

fof(f1556,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f306,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1554,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1552,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1552,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f481,f370]) ).

fof(f481,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f478,f454]) ).

fof(f454,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f453,f414]) ).

fof(f453,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f450,f410]) ).

fof(f450,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f394,f448]) ).

fof(f478,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f477,f379]) ).

fof(f477,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f474,f414]) ).

fof(f474,plain,
    ( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f394,f471]) ).

fof(f471,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f459,f454]) ).

fof(f459,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f456,f448]) ).

fof(f456,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f40,f453]) ).

fof(f1551,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1549,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1549,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f485,f370]) ).

fof(f485,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f444,f454]) ).

fof(f1548,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f448,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1545,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f454,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1543,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f462,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f462,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f312,f454]) ).

fof(f1541,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f465,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f465,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f410,f454]) ).

fof(f1539,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f468,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f468,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f447,f454]) ).

fof(f1537,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f471,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1535,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1533,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1532,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f500,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f500,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f392,f359]) ).

fof(f1530,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f501,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1528,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | spl0_15 ),
    inference(global_subsumption,[],[f504,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f504,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_10
    | spl0_15 ),
    inference(superposition,[],[f441,f359]) ).

fof(f1526,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f532,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1524,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f513,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1522,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1521]) ).

fof(f1521,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f538,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1520,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f541,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f541,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f534,f359]) ).

fof(f534,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f523]) ).

fof(f1518,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1517,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f522,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f522,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f518,f359]) ).

fof(f518,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f513]) ).

fof(f1516,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1515]) ).

fof(f1515,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f523,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1514,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f806,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f806,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f392,f359]) ).

fof(f1512,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f807,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f807,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f414,f359]) ).

fof(f1510,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | spl0_15 ),
    inference(global_subsumption,[],[f810,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f810,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_10
    | spl0_15 ),
    inference(superposition,[],[f441,f359]) ).

fof(f1508,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1507]) ).

fof(f1507,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1506,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1506,plain,
    ( identity = sk_c5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f444,f370]) ).

fof(f1505,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f623,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f623,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f617,f392]) ).

fof(f617,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f391,f444]) ).

fof(f391,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f59,f379]) ).

fof(f1503,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1502]) ).

fof(f1502,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1501,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1501,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f618,f370]) ).

fof(f1500,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1499,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1388,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1388,plain,
    ( identity != multiply(sk_c3,sk_c6)
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f382,f370]) ).

fof(f1498,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1497,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f447,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1496,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1381,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1494,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1493]) ).

fof(f1493,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f18,f14,f16,f20,f19]) ).

fof(f1492,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1402,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f18,f14,f16,f20]) ).

fof(f1490,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f18,f14,f16,f20]) ).

fof(f1488,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1487]) ).

fof(f1487,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1363,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1363,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1362,f1]) ).

fof(f1362,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1361,f1]) ).

fof(f1361,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = multiply(identity,multiply(identity,X0))
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1160,f370]) ).

fof(f1160,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f40]) ).

fof(f1486,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1358,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1358,plain,
    ( identity = multiply(sk_c1,sk_c5)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1357,f1]) ).

fof(f1357,plain,
    ( multiply(sk_c1,sk_c5) = multiply(identity,identity)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1166,f370]) ).

fof(f1484,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1348,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1482,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1344,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1480,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1277,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1478,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1289,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1476,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1421,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1474,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1473,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1424,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1472,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1471]) ).

fof(f1471,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f18,f14,f16]) ).

fof(f1470,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1429,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1468,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f310,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1466,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1465,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f91,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1464,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1463,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1441,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1441,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1440,f1]) ).

fof(f1440,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f414,f370]) ).

fof(f1462,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1461,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f410,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1460,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1447,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1447,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1446,f1]) ).

fof(f1446,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f392,f370]) ).

fof(f1458,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1457,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1450,f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1450,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f30,f370]) ).

fof(f1456,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1455]) ).

fof(f1455,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18,f14]) ).

fof(f1454,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1453,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f25,f30,f32,f33,f34,f35,f36,f3,f44,f48,f50,f53,f49,f54,f57,f40,f62,f65,f58,f68,f43,f69,f70,f71,f74,f76,f80,f79,f81,f82,f22,f73,f99,f96,f100,f103,f104,f106,f109,f108,f105,f111,f112,f114,f118,f121,f131,f125,f110,f137,f113,f141,f123,f145,f133,f149,f144,f158,f150,f159,f178,f166,f170,f171,f163,f164,f205,f194,f12,f11,f10,f14,f15,f13,f59,f9,f17,f356,f47,f1223,f1224,f1225,f1226,f19,f20,f16,f18]) ).

fof(f1452,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1451]) ).

fof(f1451,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1450,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1449,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

fof(f1448,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1447,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1445,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f410,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1443,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1442]) ).

fof(f1442,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1441,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1439,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1438,plain,
    ( $false
    | ~ spl0_5
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f91,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1437,plain,
    ( spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16,f305]) ).

fof(f1435,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f323,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16]) ).

fof(f323,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f318,f4]) ).

fof(f318,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f300,f317]) ).

fof(f300,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f299,f1]) ).

fof(f299,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f298]) ).

fof(f298,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f26]) ).

fof(f26,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f1433,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f310,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16]) ).

fof(f1431,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1429,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16]) ).

fof(f1428,plain,
    ( spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20,f16]) ).

fof(f1426,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1425,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1424,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1423,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1422]) ).

fof(f1422,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1421,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1420,plain,
    ( spl0_7
    | spl0_10
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | spl0_7
    | spl0_10
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1279,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1279,plain,
    ( identity != sk_c6
    | spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f360,f370]) ).

fof(f1418,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1417,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1289,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1416,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1415,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1277,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1414,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1344,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1412,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1411]) ).

fof(f1411,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1348,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1410,plain,
    ( spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1358,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1408,plain,
    ( spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1363,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1406,plain,
    ( spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f447,f19,f20]) ).

fof(f1404,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1402,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f447,f19]) ).

fof(f1400,plain,
    ( spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f447,f19]) ).

fof(f1398,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1397,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1378,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f19,f447]) ).

fof(f1378,plain,
    ( identity != sk_c5
    | ~ spl0_12
    | spl0_16 ),
    inference(forward_demodulation,[],[f445,f370]) ).

fof(f1396,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1381,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f19,f447]) ).

fof(f1394,plain,
    ( spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1393,plain,
    ( $false
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f19,f447]) ).

fof(f1392,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1391,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1388,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f305,f317,f319,f320,f322,f16,f13,f9,f382,f449,f17,f47,f1223,f1224,f1225,f1226,f20,f19,f447]) ).

fof(f1390,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1389]) ).

fof(f1389,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1388,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19,f447]) ).

fof(f1119,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f7,f29]) ).

fof(f1121,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f8,f29]) ).

fof(f29,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f1387,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19,f447]) ).

fof(f1385,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f448,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19]) ).

fof(f1383,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1381,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19]) ).

fof(f1380,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1378,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19]) ).

fof(f1377,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119,f19]) ).

fof(f1375,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1374]) ).

fof(f1374,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1373,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119]) ).

fof(f1373,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1372,f370]) ).

fof(f1372,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f29]) ).

fof(f1371,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121,f1119]) ).

fof(f1369,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1368]) ).

fof(f1368,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20,f1121]) ).

fof(f1367,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1366,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226,f20]) ).

fof(f1365,plain,
    ( spl0_2
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1364,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1363,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1360,plain,
    ( spl0_2
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1359]) ).

fof(f1359,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1358,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1356,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1354,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1354,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1353,f1]) ).

fof(f1353,plain,
    ( sk_c2 = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1352,f1]) ).

fof(f1352,plain,
    ( multiply(identity,sk_c3) = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1351,f370]) ).

fof(f1351,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1169,f1167]) ).

fof(f1167,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f298]) ).

fof(f1169,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f1132,f350]) ).

fof(f1350,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1348,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1346,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1345]) ).

fof(f1345,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1344,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1343,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1342,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1341,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1341,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1340,f370]) ).

fof(f1340,plain,
    ( sk_c7 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f996,f370]) ).

fof(f996,plain,
    ( identity != sk_c7
    | sk_c7 != inverse(inverse(sk_c6))
    | ~ spl0_6 ),
    inference(superposition,[],[f94,f2]) ).

fof(f94,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_6
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1339,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1338,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1337,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1337,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1336,f370]) ).

fof(f1336,plain,
    ( sk_c7 != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f685,f370]) ).

fof(f685,plain,
    ( identity != sk_c7
    | sk_c7 != inverse(inverse(sk_c6))
    | ~ spl0_6 ),
    inference(superposition,[],[f94,f2]) ).

fof(f1335,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1277,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1333,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | spl0_2
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1289,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1331,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

fof(f1330,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1279,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f1329,plain,
    ( spl0_2
    | spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1328,plain,
    ( $false
    | spl0_2
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f309,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f382,f447,f449,f17,f29,f47,f1223,f1224,f1225,f1226]) ).

fof(f309,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1327,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1326]) ).

fof(f1326,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1124,f1125,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249,f1248,f1120,f958,f954,f1325]) ).

fof(f1325,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f309,f629]) ).

fof(f954,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f309,f629]) ).

fof(f958,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f947,f629]) ).

fof(f947,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f19,f629]) ).

fof(f1120,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1119,f629]) ).

fof(f1248,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1122]) ).

fof(f1249,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c4),multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1135]) ).

fof(f1250,plain,
    ( identity = multiply(inverse(sk_c4),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1209]) ).

fof(f1255,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1233,f2]) ).

fof(f1233,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f385]) ).

fof(f1259,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1258,f2]) ).

fof(f1258,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1234,f629]) ).

fof(f1263,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1239,f2]) ).

fof(f1239,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1021]) ).

fof(f1269,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1246,f26]) ).

fof(f1246,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c3),multiply(sk_c7,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f612]) ).

fof(f1235,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f47,f298]) ).

fof(f1231,plain,
    ( multiply(sk_c7,sk_c3) = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1052]) ).

fof(f1228,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f47,f300]) ).

fof(f1253,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1252,f47]) ).

fof(f1252,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1227,f629]) ).

fof(f1219,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1218,f1]) ).

fof(f1218,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(identity,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1209]) ).

fof(f1209,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f1135,f298]) ).

fof(f1205,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f1135,f1052]) ).

fof(f1202,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f1135,f300]) ).

fof(f1135,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1122]) ).

fof(f1200,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,multiply(sk_c3,X0))) = X0
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1199,f1]) ).

fof(f1199,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,multiply(sk_c3,X0)))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1194,f3]) ).

fof(f1194,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c7,sk_c3),X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1052]) ).

fof(f1198,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1193,f1011]) ).

fof(f1193,plain,
    ( multiply(sk_c7,multiply(sk_c7,sk_c3)) = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f1052]) ).

fof(f1052,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,sk_c3))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f300,f1011]) ).

fof(f1122,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1121,f629]) ).

fof(f903,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f12,f629]) ).

fof(f1127,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f11,f629]) ).

fof(f1125,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f903,f958,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1052,f1054,f1120,f1122,f1124]) ).

fof(f1124,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1123,f629]) ).

fof(f1123,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f20,f629]) ).

fof(f1054,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(multiply(sk_c7,sk_c3),X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1053,f1]) ).

fof(f1053,plain,
    ( ! [X0] : multiply(multiply(sk_c7,sk_c3),X0) = multiply(sk_c3,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1011]) ).

fof(f1011,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f298]) ).

fof(f1027,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1021]) ).

fof(f1021,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1020,f383]) ).

fof(f1020,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1009,f629]) ).

fof(f1009,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f4]) ).

fof(f1014,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f300,f612]) ).

fof(f1019,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1008,f383]) ).

fof(f1008,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f385]) ).

fof(f1004,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f300]) ).

fof(f1017,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1016,f612]) ).

fof(f1016,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1003,f629]) ).

fof(f1003,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f40]) ).

fof(f612,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f383]) ).

fof(f629,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f385,f4]) ).

fof(f632,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f385]) ).

fof(f630,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f4,f385]) ).

fof(f385,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f300,f383]) ).

fof(f611,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f300,f383]) ).

fof(f610,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f383,f387,f17]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f383]) ).

fof(f1324,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1323]) ).

fof(f1323,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1124,f1125,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249,f1248,f1120,f958,f954]) ).

fof(f1322,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1124,f1125,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249,f1248,f1120,f958]) ).

fof(f1320,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1319,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249,f1248,f1120]) ).

fof(f1318,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1317,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249,f1248]) ).

fof(f1316,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250,f1249]) ).

fof(f1314,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255,f1250]) ).

fof(f1312,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1311,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1279,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255]) ).

fof(f1310,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1309,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1280,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255]) ).

fof(f1280,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f385,f370]) ).

fof(f1308,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1296,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f954,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f958,f1127,f903,f1122,f1052,f1198,f1200,f1135,f1202,f1205,f1209,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1231,f1235,f1269,f1263,f1259,f1255]) ).

fof(f1296,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1295,f1]) ).

fof(f1295,plain,
    ( sk_c2 = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1284,f1]) ).

fof(f1284,plain,
    ( multiply(identity,sk_c3) = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1056,f370]) ).

fof(f1056,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1013,f1011]) ).

fof(f1013,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c3,identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f350]) ).

fof(f1306,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1305]) ).

fof(f1305,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1287,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279,f1280,f1300,f1286]) ).

fof(f1286,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1159,f370]) ).

fof(f1300,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1299,f1]) ).

fof(f1299,plain,
    ( sk_c4 = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1285,f1]) ).

fof(f1285,plain,
    ( multiply(identity,sk_c3) = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1138,f370]) ).

fof(f1288,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1277,f629]) ).

fof(f1273,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1250,f968]) ).

fof(f1272,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1249,f968]) ).

fof(f1266,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1240,f47]) ).

fof(f1240,plain,
    ( sk_c4 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c3))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1138]) ).

fof(f1262,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1238,f2]) ).

fof(f1238,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1159]) ).

fof(f1236,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1130]) ).

fof(f1254,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1232,f2]) ).

fof(f1232,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1152]) ).

fof(f1229,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f47,f1139]) ).

fof(f1217,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f1139,f1209]) ).

fof(f1212,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f1139,f1135]) ).

fof(f1210,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f1135,f1130]) ).

fof(f1203,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f1135,f1139]) ).

fof(f1183,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1159]) ).

fof(f1159,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1156,f383]) ).

fof(f1156,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f1152]) ).

fof(f1158,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1152]) ).

fof(f1152,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f1139,f1122]) ).

fof(f1153,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f1139]) ).

fof(f1139,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1137,f1]) ).

fof(f1137,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1130]) ).

fof(f1151,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1147,f3]) ).

fof(f1147,plain,
    ( ! [X0] : multiply(multiply(sk_c7,sk_c3),X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1138]) ).

fof(f1138,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1136,f1011]) ).

fof(f1136,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f1130]) ).

fof(f1130,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f968]) ).

fof(f968,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f310,f629]) ).

fof(f1126,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f903,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f1011,f1052,f1054,f1124,f637,f968,f958]) ).

fof(f637,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f312,f629]) ).

fof(f934,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f933,f1]) ).

fof(f933,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f637]) ).

fof(f638,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f314,f629]) ).

fof(f1287,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1184,f370]) ).

fof(f1184,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1182]) ).

fof(f1182,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f94,f1159]) ).

fof(f1304,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1303]) ).

fof(f1303,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279,f1280,f1300,f1286]) ).

fof(f1302,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1301]) ).

fof(f1301,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279,f1280,f1300]) ).

fof(f1298,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1297]) ).

fof(f1297,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1296,f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279,f1280]) ).

fof(f1293,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279,f1280]) ).

fof(f1291,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f1290,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f310,f312,f314,f16,f13,f9,f387,f17,f610,f383,f611,f385,f630,f632,f629,f638,f360,f934,f612,f1017,f1004,f1019,f1014,f1021,f1027,f29,f1011,f1054,f1120,f1124,f1125,f637,f958,f1126,f1127,f903,f968,f1122,f1130,f1138,f1151,f1139,f1153,f1152,f1158,f1159,f1183,f1052,f1198,f1200,f1135,f1202,f1203,f1205,f1210,f1212,f1209,f1217,f1219,f47,f1223,f1224,f1225,f1226,f1253,f1228,f1229,f1231,f1254,f1235,f1236,f1262,f1266,f1269,f1272,f1273,f1263,f1259,f1255,f370,f1288,f1279]) ).

fof(f1265,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1264]) ).

fof(f1264,plain,
    ( $false
    | ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1263,f371]) ).

fof(f1261,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1260,plain,
    ( $false
    | ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1259,f371]) ).

fof(f1257,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | ~ spl0_1
    | spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1255,f371]) ).

fof(f1117,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1115,f360]) ).

fof(f1115,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1098,f629]) ).

fof(f1098,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f4,f1075]) ).

fof(f1075,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f971,f1058]) ).

fof(f1058,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f930,f300]) ).

fof(f930,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f925]) ).

fof(f925,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f385,f630,f632,f629,f378,f903]) ).

fof(f378,plain,
    ( sk_c7 != multiply(sk_c1,sk_c6)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f971,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f970,f1]) ).

fof(f970,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f969]) ).

fof(f969,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f951]) ).

fof(f951,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f950,f629]) ).

fof(f950,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f11,f378]) ).

fof(f1114,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1097,f360]) ).

fof(f1097,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f385,f1075]) ).

fof(f1110,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1108,f360]) ).

fof(f1108,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1087,f629]) ).

fof(f1087,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1075,f4]) ).

fof(f1107,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1086,f360]) ).

fof(f1086,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1075,f385]) ).

fof(f1049,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1042,f360]) ).

fof(f1042,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1018,f1036]) ).

fof(f1036,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1035,f1]) ).

fof(f1035,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1023]) ).

fof(f1023,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1022,f32]) ).

fof(f1022,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1010,f612]) ).

fof(f1010,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c3,multiply(sk_c6,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f635]) ).

fof(f635,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f58,f629]) ).

fof(f1018,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1007,f383]) ).

fof(f1007,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f931]) ).

fof(f931,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f929,f629]) ).

fof(f929,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f314,f925]) ).

fof(f1047,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1038,f360]) ).

fof(f1038,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1036,f1018]) ).

fof(f989,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f988]) ).

fof(f988,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f985,f951]) ).

fof(f985,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f984]) ).

fof(f984,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f925]) ).

fof(f699,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f698,f629]) ).

fof(f698,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f91,f629]) ).

fof(f966,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f965,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f964,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f385,f630,f632,f629,f903,f378,f925,f930,f954,f951,f958]) ).

fof(f964,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f963,f629]) ).

fof(f963,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c6) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f91,f629]) ).

fof(f962,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f699,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f385,f630,f632,f629,f903,f378,f925,f930,f954,f951,f958]) ).

fof(f960,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f959]) ).

fof(f959,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f385,f630,f632,f629,f903,f378,f925,f930,f954,f951,f958]) ).

fof(f957,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f956,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f385,f630,f632,f629,f903,f378,f925,f930,f954,f951]) ).

fof(f953,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f951,f941]) ).

fof(f941,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f940]) ).

fof(f940,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f925]) ).

fof(f854,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f85,f629]) ).

fof(f85,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f946,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f945]) ).

fof(f945,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f944,f629]) ).

fof(f944,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f941,f310]) ).

fof(f923,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f922]) ).

fof(f922,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f17,f625,f628,f94,f684,f355,f359,f915,f510,f921]) ).

fof(f921,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c6) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f920,f359]) ).

fof(f920,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f94,f359]) ).

fof(f510,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f509,f359]) ).

fof(f509,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f94,f359]) ).

fof(f915,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f914,f359]) ).

fof(f914,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f683,f359]) ).

fof(f683,plain,
    ( sk_c6 != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f94,f1]) ).

fof(f684,plain,
    ( ! [X0,X1] :
        ( sk_c7 != multiply(X0,multiply(X1,sk_c6))
        | sk_c7 != inverse(multiply(X0,X1)) )
    | ~ spl0_6 ),
    inference(superposition,[],[f94,f3]) ).

fof(f919,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f918]) ).

fof(f918,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f17,f625,f628,f94,f684,f355,f359,f915,f510]) ).

fof(f917,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f916]) ).

fof(f916,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f15,f16,f13,f9,f510,f17,f625,f628,f94,f684,f355,f359,f915]) ).

fof(f913,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f697,f359]) ).

fof(f697,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f690,f26]) ).

fof(f690,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f689]) ).

fof(f689,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f94,f383]) ).

fof(f911,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f910]) ).

fof(f910,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f909,f359]) ).

fof(f909,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f902,f26]) ).

fof(f902,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f689]) ).

fof(f908,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f907]) ).

fof(f907,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f906,f359]) ).

fof(f906,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f690,f26]) ).

fof(f901,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f900,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f899,f26]) ).

fof(f899,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f883,f359]) ).

fof(f883,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f383]) ).

fof(f898,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f897,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f896,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f85,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f854,f885,f877]) ).

fof(f877,plain,
    ( ! [X0,X1] :
        ( sk_c6 != multiply(X0,multiply(X1,sk_c6))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f3]) ).

fof(f885,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f876]) ).

fof(f876,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f1]) ).

fof(f820,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f26,f658]) ).

fof(f819,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f298,f658]) ).

fof(f823,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f818,f1]) ).

fof(f818,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f300,f658]) ).

fof(f658,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f298]) ).

fof(f664,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f385,f628]) ).

fof(f677,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f676,f628]) ).

fof(f676,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f661,f629]) ).

fof(f661,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f40,f628]) ).

fof(f673,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f657,f629]) ).

fof(f778,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f657,f629]) ).

fof(f656,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f628,f385]) ).

fof(f670,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f669,f628]) ).

fof(f669,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f653,f629]) ).

fof(f653,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f40]) ).

fof(f680,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f665,f629]) ).

fof(f666,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f298,f628]) ).

fof(f793,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f665,f629]) ).

fof(f662,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f300,f628]) ).

fof(f654,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f628,f300]) ).

fof(f896,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f895,f548]) ).

fof(f548,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f495]) ).

fof(f528,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f525,f1]) ).

fof(f525,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f507]) ).

fof(f507,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f502,f298]) ).

fof(f502,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,sk_c3))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f420,f359]) ).

fof(f420,plain,
    ( identity = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f405]) ).

fof(f405,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f298]) ).

fof(f895,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f882,f359]) ).

fof(f882,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f379]) ).

fof(f894,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f892,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f85,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f854,f885,f877]) ).

fof(f892,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f884,f548]) ).

fof(f884,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f881]) ).

fof(f881,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f854,f633]) ).

fof(f633,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f631,f392]) ).

fof(f631,plain,
    ( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f394,f385]) ).

fof(f889,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f888]) ).

fof(f888,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f85,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f854,f885,f877]) ).

fof(f887,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f85,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f854,f885]) ).

fof(f853,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f852,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f851,f26]) ).

fof(f851,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f837,f359]) ).

fof(f837,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f383]) ).

fof(f850,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

fof(f849,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f848,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f699,f839,f831]) ).

fof(f831,plain,
    ( ! [X0,X1] :
        ( sk_c6 != multiply(X0,multiply(X1,sk_c6))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f3]) ).

fof(f839,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f830]) ).

fof(f830,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f1]) ).

fof(f848,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f836,f359]) ).

fof(f836,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f379]) ).

fof(f847,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f846]) ).

fof(f846,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f838,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f699,f839,f831]) ).

fof(f838,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f835]) ).

fof(f835,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f699,f633]) ).

fof(f843,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f842]) ).

fof(f842,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f699,f839,f831]) ).

fof(f841,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f840,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f17,f610,f383,f611,f612,f625,f385,f630,f632,f629,f628,f654,f662,f355,f793,f666,f680,f670,f656,f778,f673,f677,f664,f658,f823,f819,f820,f699,f839]) ).

fof(f797,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f796]) ).

fof(f796,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f355,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f652,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_1
    | ~ spl0_14
    | spl0_16 ),
    inference(forward_demodulation,[],[f445,f629]) ).

fof(f795,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f793,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f792,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f666,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f790,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f789]) ).

fof(f789,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f667,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f788,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f645,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f645,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f635,f625]) ).

fof(f786,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f680,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f784,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f783,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f670,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f782,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

fof(f781,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f656,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f780,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f778,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f777,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f776]) ).

fof(f776,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f658,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f775,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f659,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f773,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f772]) ).

fof(f772,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f673,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f771,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f677,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f769,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f768]) ).

fof(f768,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f664,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f767,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652,f359]) ).

fof(f765,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f764]) ).

fof(f764,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f763,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f763,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f547,f629]) ).

fof(f547,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f4]) ).

fof(f762,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f761]) ).

fof(f761,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f548,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f760,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f759,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f549,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f549,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f298]) ).

fof(f758,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f528,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f756,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f755]) ).

fof(f755,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f498,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f754,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f550,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f550,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f350]) ).

fof(f752,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f751]) ).

fof(f751,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f500,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f750,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f749,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f748,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f748,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f501,f629]) ).

fof(f747,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f745,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f745,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f590,f629]) ).

fof(f590,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f589,f528]) ).

fof(f589,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f575,f1]) ).

fof(f575,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f59,f548]) ).

fof(f744,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f743]) ).

fof(f743,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f603,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f603,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f26,f549]) ).

fof(f742,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f504,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f740,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f739]) ).

fof(f739,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f553,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f553,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f300,f528]) ).

fof(f738,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f507,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f736,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f554,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f554,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f352,f528]) ).

fof(f734,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f733]) ).

fof(f733,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f583,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f583,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f571,f359]) ).

fof(f571,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f30,f548]) ).

fof(f732,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f731]) ).

fof(f731,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f730,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f730,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f556,f629]) ).

fof(f556,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f4,f528]) ).

fof(f729,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f728]) ).

fof(f728,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f557,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f557,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f495,f528]) ).

fof(f727,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f726]) ).

fof(f726,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f513,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f725,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f724]) ).

fof(f724,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f558,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f558,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f298,f528]) ).

fof(f723,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f559,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f559,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f350,f528]) ).

fof(f721,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f541,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f718,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f717]) ).

fof(f717,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f544,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f544,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f300]) ).

fof(f716,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f715]) ).

fof(f715,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f545,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f545,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f352]) ).

fof(f714,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f713]) ).

fof(f713,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f522,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f712,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f523,f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f710,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f3,f47,f40,f22,f20,f12,f19,f18,f11,f10,f14,f26,f298,f300,f15,f16,f13,f9,f387,f445,f359,f17,f610,f383,f611,f612,f385,f630,f632,f629,f652]) ).

fof(f708,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f707,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f701,f360]) ).

fof(f701,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f379,f633]) ).

fof(f706,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f700,f360]) ).

fof(f700,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f633,f379]) ).

fof(f696,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f695]) ).

fof(f695,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f691,f30]) ).

fof(f691,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f688]) ).

fof(f688,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f94,f379]) ).

fof(f682,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f681]) ).

fof(f681,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f680,f360]) ).

fof(f679,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f678]) ).

fof(f678,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f664,f360]) ).

fof(f675,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f674]) ).

fof(f674,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f673,f360]) ).

fof(f672,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f656,f360]) ).

fof(f650,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f642,f360]) ).

fof(f642,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f444,f629]) ).

fof(f644,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f643]) ).

fof(f643,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f634,f360]) ).

fof(f634,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f629,f444]) ).

fof(f608,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f607]) ).

fof(f607,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f606,f359]) ).

fof(f606,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f600,f1]) ).

fof(f600,plain,
    ( sk_c7 != multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f382,f549]) ).

fof(f585,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f584]) ).

fof(f584,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f583,f356]) ).

fof(f493,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f359,f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f3,f47,f49,f40,f58,f68,f22,f20,f17,f12,f19,f18,f11,f10,f14,f15,f88,f341,f16,f13,f306,f350,f340,f352,f342,f59,f9,f379,f395,f382,f392,f397,f398,f391,f400,f394,f401,f403,f406,f407,f408,f410,f415,f414,f416,f418,f413,f435,f437,f417,f447,f449,f448,f452,f453,f455,f459,f458,f454,f460,f461,f465,f468,f471,f476,f485,f484,f488,f481,f475,f489,f396]) ).

fof(f396,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f395,f30]) ).

fof(f489,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f3,f47,f49,f40,f58,f68,f22,f20,f17,f12,f19,f18,f11,f10,f14,f15,f88,f341,f16,f13,f306,f350,f340,f352,f342,f59,f9,f379,f395,f382,f392,f397,f398,f391,f400,f394,f401,f403,f406,f407,f408,f410,f415,f414,f416,f418,f413,f435,f437,f417,f447,f449,f448,f452,f453,f455,f459,f458,f454,f460,f461,f465,f468,f471,f476,f485,f484,f488,f481,f475]) ).

fof(f475,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f88,f471]) ).

fof(f488,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f3,f47,f49,f40,f58,f68,f22,f20,f17,f12,f19,f18,f11,f10,f14,f15,f88,f341,f16,f13,f306,f350,f340,f352,f342,f59,f9,f379,f395,f382,f392,f397,f398,f391,f400,f394,f401,f403,f406,f407,f408,f410,f415,f414,f416,f418,f413,f435,f437,f417,f447,f449,f448,f452,f453,f455,f459,f458,f454,f460,f461,f465,f468,f471,f476,f485,f484]) ).

fof(f484,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f451,f454]) ).

fof(f451,plain,
    ( sk_c7 != sk_c5
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_4
    | ~ spl0_7
    | spl0_14 ),
    inference(superposition,[],[f88,f448]) ).

fof(f476,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f3,f471]) ).

fof(f461,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f59,f454]) ).

fof(f460,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f58,f454]) ).

fof(f458,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f3,f453]) ).

fof(f455,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f414,f453]) ).

fof(f417,plain,
    ( sk_c7 != sk_c5
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f88,f414]) ).

fof(f437,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f436,f3]) ).

fof(f436,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(multiply(sk_c6,sk_c5),X0)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f413]) ).

fof(f435,plain,
    ( sk_c7 != multiply(sk_c6,sk_c5)
    | sk_c6 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f88,f413]) ).

fof(f413,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f59,f410]) ).

fof(f418,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f414]) ).

fof(f416,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f40,f414]) ).

fof(f415,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f410]) ).

fof(f408,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f49,f394]) ).

fof(f407,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f59,f394]) ).

fof(f406,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f350]) ).

fof(f403,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f352]) ).

fof(f401,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f394,f40]) ).

fof(f400,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f399,f3]) ).

fof(f399,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f391]) ).

fof(f398,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f392]) ).

fof(f397,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f40,f392]) ).

fof(f395,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f393]) ).

fof(f393,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f88,f379]) ).

fof(f342,plain,
    ( identity != sk_c7
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl0_4 ),
    inference(superposition,[],[f88,f2]) ).

fof(f340,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f88,f1]) ).

fof(f341,plain,
    ( ! [X0,X1] :
        ( sk_c7 != multiply(X0,multiply(X1,sk_c6))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f88,f3]) ).

fof(f88,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_4
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f491,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f7,f8,f5,f21,f4,f1,f2,f6,f30,f32,f3,f47,f49,f40,f58,f68,f22,f20,f17,f12,f19,f18,f11,f10,f14,f15,f88,f341,f16,f13,f306,f350,f340,f352,f342,f59,f9,f379,f395,f382,f392,f397,f398,f391,f400,f394,f401,f403,f406,f407,f408,f410,f415,f414,f416,f418,f413,f435,f437,f417,f447,f449,f448,f452,f453,f455,f459,f458,f454,f460,f461,f465,f468,f471,f476,f485,f484,f488,f481,f475,f489,f396]) ).

fof(f487,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f486]) ).

fof(f486,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f485,f360]) ).

fof(f483,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f481,f360]) ).

fof(f480,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13
    | spl0_14
    | spl0_16 ),
    inference(subsumption_resolution,[],[f478,f445]) ).

fof(f446,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f417,f377,f87,f28,f443,f439]) ).

fof(f390,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f389]) ).

fof(f389,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f388,f26]) ).

fof(f388,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f386]) ).

fof(f386,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(superposition,[],[f88,f383]) ).

fof(f384,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f9,f381,f377]) ).

fof(f372,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f342,f87,f369,f365]) ).

fof(f361,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f340,f87,f358,f354]) ).

fof(f348,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f346,f26]) ).

fof(f346,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f344]) ).

fof(f344,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f88,f317]) ).

fof(f311,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f15,f308,f304]) ).

fof(f297,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f274,f33]) ).

fof(f274,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f273]) ).

fof(f273,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f251,f113]) ).

fof(f251,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f88,f121]) ).

fof(f295,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f293,f194]) ).

fof(f293,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f292,f163]) ).

fof(f292,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f272,f121]) ).

fof(f272,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f251,f35]) ).

fof(f291,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f289,f194]) ).

fof(f289,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f275,f163]) ).

fof(f275,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f271]) ).

fof(f271,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f251,f110]) ).

fof(f281,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f279,f194]) ).

fof(f279,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f263]) ).

fof(f263,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f251,f1]) ).

fof(f250,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f249]) ).

fof(f249,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f227,f33]) ).

fof(f227,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f226]) ).

fof(f226,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f139,f113]) ).

fof(f139,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f85,f105]) ).

fof(f248,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f247]) ).

fof(f247,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f246,f194]) ).

fof(f246,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f245,f163]) ).

fof(f245,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f225,f121]) ).

fof(f225,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f139,f35]) ).

fof(f244,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f243,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f242,f194]) ).

fof(f242,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f228,f163]) ).

fof(f228,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f224]) ).

fof(f224,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f139,f110]) ).

fof(f234,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f232,f194]) ).

fof(f232,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f216]) ).

fof(f216,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f139,f1]) ).

fof(f95,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f22,f93,f90,f87,f84]) ).

fof(f31,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f28,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31  % Computer : n008.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Tue Apr 30 04:21:57 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  % (28144)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.33  % (28147)WARNING: value z3 for option sas not known
% 0.12/0.33  % (28146)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.33  % (28147)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)
% 0.12/0.33  % (28151)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)
% 0.12/0.33  % (28150)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)
% 0.12/0.33  % (28148)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.33  % (28145)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.33  % (28149)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)
% 0.12/0.34  TRYING [1]
% 0.12/0.34  TRYING [2]
% 0.12/0.34  TRYING [3]
% 0.12/0.34  TRYING [1]
% 0.12/0.34  TRYING [2]
% 0.12/0.34  TRYING [4]
% 0.12/0.34  TRYING [3]
% 0.17/0.36  TRYING [5]
% 0.17/0.36  TRYING [4]
% 0.17/0.39  TRYING [6]
% 0.17/0.41  % (28147)First to succeed.
% 0.17/0.42  TRYING [5]
% 0.17/0.42  % (28147)Refutation found. Thanks to Tanya!
% 0.17/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.44  % (28147)------------------------------
% 0.17/0.44  % (28147)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.44  % (28147)Termination reason: Refutation
% 0.17/0.44  
% 0.17/0.44  % (28147)Memory used [KB]: 1710
% 0.17/0.44  % (28147)Time elapsed: 0.092 s
% 0.17/0.44  % (28147)Instructions burned: 194 (million)
% 0.17/0.44  % (28147)------------------------------
% 0.17/0.44  % (28147)------------------------------
% 0.17/0.44  % (28144)Success in time 0.114 s
%------------------------------------------------------------------------------