%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP211-1 : 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 : n007.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 11:52:34 EDT 2024

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   46
% Syntax   : Number of formulae    : 1574 (  10 unt;   0 def)
%            Number of atoms       : 6866 ( 767 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 9291 (3999   ~;5275   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  142 ( 142   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f72,f174,f180,f184,f218,f221,f224,f226,f231,f245,f269,f282,f293,f302,f375,f447,f454,f471,f473,f475,f511,f517,f527,f529,f531,f533,f536,f538,f592,f660,f664,f721,f726,f760,f765,f771,f777,f783,f787,f814,f871,f893,f952,f957,f961,f966,f970,f974,f977,f982,f990,f994,f998,f1001,f1003,f1006,f1010,f1012,f1016,f1021,f1027,f1031,f1087,f1091,f1094,f1097,f1100,f1102,f1104,f1106,f1112,f1118,f1120,f1124,f1129,f1131,f1133,f1135,f1137,f1139,f1141,f1143,f1145,f1147,f1149,f1151,f1153,f1155,f1157,f1159,f1161,f1163,f1165,f1167,f1170,f1174,f1176,f1178,f1180,f1182,f1184,f1187,f1190,f1193,f1195,f1197,f1199,f1201,f1203,f1207,f1209,f1211,f1213,f1215,f1217,f1219,f1221,f1224,f1228,f1231,f1233,f1235,f1237,f1239,f1241,f1244,f1246,f1251,f1255,f1260,f1264,f1268,f1270,f1272,f1275,f1277,f1297,f1299,f1301,f1303,f1306,f1308,f1311,f1314,f1318,f1320,f1323,f1325,f1328,f1332,f1334,f1336,f1338,f1340,f1342,f1344,f1346,f1348,f1350,f1352,f1354,f1356,f1358,f1360,f1362,f1364,f1366,f1368,f1370,f1372,f1374,f1376,f1378,f1380,f1382,f1384,f1386,f1388,f1390,f1392,f1394,f1396,f1398,f1400,f1402,f1404,f1434,f1463,f1466,f1468,f1470,f1521,f1523,f1526,f1537,f1539,f1542,f1544,f1546,f1550,f1554,f1556,f1558,f1560,f1562,f1564,f1566,f1568,f1570,f1572,f1574,f1576,f1578,f1580,f1582,f1584,f1586,f1588,f1590,f1592,f1594,f1596,f1598,f1600,f1602,f1604,f1606,f1608,f1610,f1612,f1614,f1616,f1618,f1620,f1622,f1624,f1626,f1629,f1631,f1633,f1635,f1637,f1639,f1641,f1643,f1645,f1647,f1649,f1651,f1653,f1655,f1657,f1659,f1661,f1663,f1665,f1667,f1669,f1671,f1673,f1675,f1677,f1679,f1681,f1683,f1685,f1687,f1689,f1691,f1693,f1695,f1697,f1699,f1701,f1703,f1705,f1707,f1709,f1711,f1713,f1715,f1717,f1719,f1721,f1723,f1725,f1727,f1729,f1731,f1733,f1735,f1737,f1739,f1741,f1743,f1745,f1747,f1749,f1751,f1753,f1755,f1757,f1759,f1761,f1763,f1765,f1767,f1769,f1771,f1773,f1775,f1777,f1779,f1781,f1783,f1785,f1787,f1789,f1791,f1793,f1795,f1797,f1799,f1801,f1803,f1805,f1807,f1809,f1811,f1813,f1815,f1817,f1819,f1821,f1823,f1825,f1827,f1829,f1831,f1833,f1835,f1837,f1839,f1841,f1843,f1845,f1847,f1849,f1851,f1853,f1855,f1857,f1859,f1861,f1863,f1865,f1867,f1869,f1871,f1873,f1875,f1877,f1879,f1881,f1883,f1885,f1887,f1889,f1891,f1893,f1895,f1897,f1899,f1901,f1903,f1905,f1907,f1909,f1911,f1913,f1915,f1917,f1919,f1921,f1923,f1925,f1927,f1929,f1931,f1933,f1935,f1937,f1939,f1941,f1943,f1945,f1947,f1949,f1951,f1953,f1955,f1957,f1959,f1961,f1963,f1965,f1967,f1969,f1971,f1973,f1975,f1977,f1979,f1981,f1983,f1985,f1987,f1989,f1991,f1993,f1995,f1997,f1999,f2001,f2003,f2005,f2007,f2009,f2011,f2013,f2015,f2017,f2019,f2021,f2023,f2025,f2027,f2029,f2031,f2033,f2035,f2037,f2039,f2041,f2043,f2045,f2047,f2049,f2051,f2053,f2055,f2057,f2059,f2061,f2063,f2065,f2067,f2069,f2071,f2073,f2075,f2077,f2079,f2081,f2083,f2085,f2087,f2089,f2091,f2093,f2095,f2097,f2099,f2101,f2103,f2105,f2107,f2109,f2111,f2113,f2115,f2117,f2119,f2121,f2123,f2125,f2127,f2129,f2131,f2133,f2135,f2137,f2139,f2141,f2143]) ).

fof(f2143,plain,
    ( spl0_1
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | spl0_1
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f292,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519,f489,f296]) ).

fof(f296,plain,
    ( multiply(sk_c1,sk_c2) != sk_c8
    | spl0_12 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl0_12
  <=> multiply(sk_c1,sk_c2) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f489,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_12 ),
    inference(subsumption_resolution,[],[f6,f296]) ).

fof(f519,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_12 ),
    inference(subsumption_resolution,[],[f7,f296]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f4,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f34,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f42,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f19,f34]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f11,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f12,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f17,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f13,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f10,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f624,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f55,f1]) ).

fof(f634,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f55,f55]) ).

fof(f628,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f55,f3]) ).

fof(f625,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f55,f2]) ).

fof(f55,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f540,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f534,f18,f539,f28]) ).

fof(f539,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f28,f534,f18]) ).

fof(f534,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_12 ),
    inference(subsumption_resolution,[],[f8,f296]) ).

fof(f521,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_12 ),
    inference(superposition,[],[f3,f519]) ).

fof(f518,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_12 ),
    inference(superposition,[],[f3,f489]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f81,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f51,f45]) ).

fof(f51,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f77,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f74]) ).

fof(f74,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f59,f46]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f31,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sk_c8 != multiply(X3,inverse(X3)) ),
    inference(equality_resolution,[],[f30]) ).

fof(f30,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != multiply(inverse(X3),sk_c7)
      | sk_c8 != multiply(X3,inverse(X3))
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(X3) != X4
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,X4)
      | multiply(X8,sk_c8) != X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f52,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f46,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f34]) ).

fof(f45,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f34]) ).

fof(f44,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f34]) ).

fof(f43,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f42]) ).

fof(f9,axiom,
    ( sk_c2 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f292,plain,
    ( identity != sk_c8
    | spl0_11 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl0_11
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2141,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2140]) ).

fof(f2140,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519,f489,f296]) ).

fof(f2139,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2138,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519,f489]) ).

fof(f2137,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2136,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f490,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519]) ).

fof(f490,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_9
    | spl0_12 ),
    inference(forward_demodulation,[],[f489,f280]) ).

fof(f280,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_9
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2135,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2134,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f708,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519]) ).

fof(f708,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_9
    | spl0_12 ),
    inference(superposition,[],[f489,f668]) ).

fof(f668,plain,
    ( identity = sk_c6
    | ~ spl0_9
    | spl0_12 ),
    inference(forward_demodulation,[],[f642,f2]) ).

fof(f642,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_9
    | spl0_12 ),
    inference(superposition,[],[f55,f490]) ).

fof(f2133,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2132]) ).

fof(f2132,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7,f519]) ).

fof(f2131,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2130]) ).

fof(f2130,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f520,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f520,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_7
    | spl0_12 ),
    inference(superposition,[],[f273,f519]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f272,f1]) ).

fof(f272,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f271]) ).

fof(f271,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f244]) ).

fof(f244,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2129,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2128]) ).

fof(f2128,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f523,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f523,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_7
    | spl0_12 ),
    inference(superposition,[],[f520,f489]) ).

fof(f2127,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f524,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f524,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_7
    | spl0_12 ),
    inference(superposition,[],[f489,f520]) ).

fof(f2125,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2124]) ).

fof(f2124,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f668,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f2123,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2122]) ).

fof(f2122,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f809,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f809,plain,
    ( identity != sk_c8
    | ~ spl0_2
    | spl0_12 ),
    inference(superposition,[],[f296,f800]) ).

fof(f800,plain,
    ( identity = multiply(sk_c1,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f631,f2]) ).

fof(f631,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c2),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f58]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f50,f1]) ).

fof(f50,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f41]) ).

fof(f41,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_2
  <=> sk_c2 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2121,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f707,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f707,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9
    | spl0_12 ),
    inference(superposition,[],[f490,f668]) ).

fof(f2119,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2118]) ).

fof(f2118,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6,f7]) ).

fof(f2117,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2116]) ).

fof(f2116,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4,f6]) ).

fof(f2115,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2114]) ).

fof(f2114,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34,f4]) ).

fof(f2113,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2112]) ).

fof(f2112,plain,
    ( $false
    | spl0_1
    | spl0_12
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f866,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f866,plain,
    ( identity = sk_c6
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_16
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2111,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2110]) ).

fof(f2110,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f85,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f85,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f44]) ).

fof(f84,plain,
    ( multiply(sk_c1,sk_c2) = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f74]) ).

fof(f80,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f51,f60]) ).

fof(f60,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f44]) ).

fof(f2109,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2108]) ).

fof(f2108,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f2107,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2106]) ).

fof(f2106,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26,f42]) ).

fof(f2105,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2104]) ).

fof(f2104,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f131,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f131,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f123,f41]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f116]) ).

fof(f116,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f107]) ).

fof(f107,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f105,f43]) ).

fof(f105,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f51,f94]) ).

fof(f94,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f90]) ).

fof(f90,plain,
    ( sk_c2 = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f89,f60]) ).

fof(f89,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f85]) ).

fof(f2103,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2102]) ).

fof(f2102,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f134,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f134,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f123,f94]) ).

fof(f2101,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2100]) ).

fof(f2100,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f90,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f2099,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2098]) ).

fof(f2098,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f144,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f144,plain,
    ( sk_c2 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f131]) ).

fof(f2097,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2096]) ).

fof(f2096,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f71,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_5
  <=> ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2095,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2094]) ).

fof(f2094,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1458,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f1458,plain,
    ( sk_c7 != multiply(sk_c8,identity)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5 ),
    inference(superposition,[],[f71,f2]) ).

fof(f2093,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2092]) ).

fof(f2092,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21,f26]) ).

fof(f2091,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2090]) ).

fof(f2090,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f16,f17,f24,f14,f19,f12,f22,f11,f27,f21]) ).

fof(f2089,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2088]) ).

fof(f2088,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f16,f17,f24,f14,f19,f12,f22,f11,f27]) ).

fof(f2087,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2086]) ).

fof(f2086,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f16,f17,f24,f14,f19,f12,f22,f11]) ).

fof(f2085,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2084,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f16,f17,f24,f14,f19,f12,f22]) ).

fof(f2083,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2082]) ).

fof(f2082,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f16,f17,f24,f14,f19,f12]) ).

fof(f2081,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2080]) ).

fof(f2080,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f39,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f16,f17,f24,f14,f19]) ).

fof(f2079,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f16,f17,f24,f14,f19]) ).

fof(f2077,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f16,f17,f24,f14]) ).

fof(f2075,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2074]) ).

fof(f2074,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f16,f17,f24]) ).

fof(f2073,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2072]) ).

fof(f2072,plain,
    ( $false
    | spl0_1
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1445,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f16,f17]) ).

fof(f1445,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | ~ spl0_13 ),
    inference(superposition,[],[f55,f301]) ).

fof(f301,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl0_13
  <=> sk_c8 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2071,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f16,f17]) ).

fof(f2069,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2068,plain,
    ( $false
    | spl0_1
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f2067,plain,
    ( spl0_1
    | spl0_12
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2066]) ).

fof(f2066,plain,
    ( $false
    | spl0_1
    | spl0_12
    | spl0_17 ),
    inference(global_subsumption,[],[f869,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f869,plain,
    ( identity != multiply(sk_c2,identity)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_17
  <=> identity = multiply(sk_c2,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2065,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1273,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f1273,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f442,f280]) ).

fof(f442,plain,
    ( sk_c8 != inverse(sk_c7)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_14
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2063,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1022,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f1022,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f288,f280]) ).

fof(f288,plain,
    ( identity != inverse(inverse(sk_c7))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_10
  <=> identity = inverse(inverse(sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2061,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1007,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f1007,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_9
    | spl0_14 ),
    inference(forward_demodulation,[],[f442,f280]) ).

fof(f2059,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f894,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f894,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f445,f280]) ).

fof(f445,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_15
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2057,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f493,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f493,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f273]) ).

fof(f487,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f483]) ).

fof(f483,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f301,f280]) ).

fof(f2055,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f498,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f498,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f271]) ).

fof(f2053,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f483,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f2051,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f481,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f481,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_9
    | spl0_14 ),
    inference(superposition,[],[f442,f280]) ).

fof(f2049,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f480,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f480,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f288,f280]) ).

fof(f2047,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f280,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f2045,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f494,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f494,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f248]) ).

fof(f248,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f247,f1]) ).

fof(f247,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f246]) ).

fof(f246,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f240]) ).

fof(f240,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2043,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f499,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f499,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f246]) ).

fof(f2041,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f240,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f296,f489,f518,f519,f521,f534,f539,f540,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f2039,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359,f352,f348,f240]) ).

fof(f348,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f347,f246]) ).

fof(f347,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f345,f304]) ).

fof(f345,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c1,multiply(sk_c2,identity))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f328]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f351,f1]) ).

fof(f351,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f348]) ).

fof(f359,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f352,f246]) ).

fof(f303,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f58,f297]) ).

fof(f311,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f308,f297]) ).

fof(f308,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f303]) ).

fof(f1242,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f297,f800]) ).

fof(f277,plain,
    ( sk_c8 != inverse(identity)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl0_8
  <=> sk_c8 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1475,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1474,f1]) ).

fof(f1474,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f1436]) ).

fof(f1473,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f55,f1436]) ).

fof(f1436,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f240]) ).

fof(f1443,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f297]) ).

fof(f1442,plain,
    ( sk_c2 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_12 ),
    inference(superposition,[],[f55,f297]) ).

fof(f297,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f1435,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f55,f240]) ).

fof(f1421,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f304,f55,f625,f628,f634,f624,f297,f13,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6,f1416,f21,f26,f28,f18,f8]) ).

fof(f1416,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f304,f55,f625,f628,f634,f624,f297,f13,f8,f18,f28,f26,f21,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6]) ).

fof(f1406,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f304,f55,f625,f628,f634,f624,f297,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f12,f7]) ).

fof(f810,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f800]) ).

fof(f815,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f811,f39]) ).

fof(f811,plain,
    ( sk_c2 = multiply(inverse(sk_c1),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f800]) ).

fof(f802,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f631,f55]) ).

fof(f807,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f631]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f812,f1]) ).

fof(f812,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f800]) ).

fof(f797,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c2))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f739]) ).

fof(f801,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f631,f635]) ).

fof(f356,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f352,f307]) ).

fof(f806,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f635,f631]) ).

fof(f804,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c2)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f631]) ).

fof(f803,plain,
    ( identity = multiply(sk_c1,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f631]) ).

fof(f799,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c2)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f798,f1]) ).

fof(f798,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c2)),multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f739]) ).

fof(f739,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f635]) ).

fof(f741,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c2),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f740,f1]) ).

fof(f740,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c2),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f635]) ).

fof(f635,plain,
    ( sk_c1 = multiply(inverse(sk_c2),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f41]) ).

fof(f382,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f240,f359]) ).

fof(f368,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f246,f352]) ).

fof(f364,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f307,f352]) ).

fof(f363,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f248,f352]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f352,f248]) ).

fof(f350,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f349,f1]) ).

fof(f349,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f346,f3]) ).

fof(f346,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(multiply(sk_c2,identity),X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f328]) ).

fof(f328,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f309,f246]) ).

fof(f332,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f329,f304]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f309]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f309,f248]) ).

fof(f309,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f58,f304]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f306,f304]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f58]) ).

fof(f317,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f316,f1]) ).

fof(f316,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f315,f3]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f307]) ).

fof(f307,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f41]) ).

fof(f314,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f311]) ).

fof(f304,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f297]) ).

fof(f305,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f303]) ).

fof(f2037,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f499,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359,f352,f348]) ).

fof(f2035,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f378,f277]) ).

fof(f378,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f244,f358]) ).

fof(f358,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f352,f271]) ).

fof(f2033,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2032]) ).

fof(f2032,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359,f352,f348]) ).

fof(f2031,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359,f352]) ).

fof(f2029,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2028,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f382,f277]) ).

fof(f2027,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f358,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359]) ).

fof(f2025,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2024]) ).

fof(f2024,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16,f359]) ).

fof(f2023,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f494,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2021,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

fof(f2020,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f280,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2019,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

fof(f2018,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f480,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2017,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f481,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2015,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2014]) ).

fof(f2014,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f483,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2013,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2012,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f498,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2011,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f493,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2009,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f894,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f2007,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2006]) ).

fof(f2006,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f895,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f895,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f894,f291]) ).

fof(f291,plain,
    ( identity = sk_c8
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f2005,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f936,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f936,plain,
    ( identity != multiply(identity,sk_c2)
    | identity != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f791,f850]) ).

fof(f850,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f303,f291]) ).

fof(f791,plain,
    ( ! [X8] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f790,f291]) ).

fof(f790,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f789,f280]) ).

fof(f789,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f788,f291]) ).

fof(f788,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f71,f291]) ).

fof(f2003,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f945,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f945,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != inverse(X0) )
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f1]) ).

fof(f2001,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2000]) ).

fof(f2000,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f946,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f946,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f933,f1]) ).

fof(f933,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f635]) ).

fof(f1999,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f1998,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f975,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f975,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f939,f1]) ).

fof(f939,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f1]) ).

fof(f1997,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f978,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f978,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f940,f1]) ).

fof(f940,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f2]) ).

fof(f1995,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1994]) ).

fof(f1994,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f984,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f984,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f983,f1]) ).

fof(f983,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f941,f801]) ).

fof(f941,plain,
    ( identity != multiply(identity,multiply(sk_c1,identity))
    | identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f631]) ).

fof(f1993,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1992]) ).

fof(f1992,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f678,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f678,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f480,f291]) ).

fof(f1991,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f679,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f679,plain,
    ( identity != inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(superposition,[],[f481,f291]) ).

fof(f1989,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f681,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f681,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f483,f291]) ).

fof(f1987,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1004,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1004,plain,
    ( identity != inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(forward_demodulation,[],[f481,f291]) ).

fof(f1985,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1007,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1983,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1008,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1008,plain,
    ( identity != inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(forward_demodulation,[],[f1007,f291]) ).

fof(f1981,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f1980,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1017,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1017,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f480,f291]) ).

fof(f1979,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1978]) ).

fof(f1978,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1022,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1977,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1023,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1023,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1022,f291]) ).

fof(f1975,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1974,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1028,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1028,plain,
    ( identity != sk_c2
    | identity != multiply(identity,sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f934,f39]) ).

fof(f934,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f801]) ).

fof(f1973,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1273,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1971,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f791,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1969,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | spl0_17 ),
    inference(global_subsumption,[],[f869,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1967,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17,f16]) ).

fof(f1965,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24,f17]) ).

fof(f1963,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1962]) ).

fof(f1962,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1445,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24]) ).

fof(f1961,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1960]) ).

fof(f1960,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14,f24]) ).

fof(f1959,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19,f14]) ).

fof(f1957,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1956,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39,f19]) ).

fof(f1955,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f26,f21,f27,f11,f22,f12,f1242,f311,f303,f39]) ).

fof(f1953,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f26,f21,f27,f11,f22,f12,f1242,f311,f303]) ).

fof(f1951,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f26,f21,f27,f11,f22,f12,f1242,f311]) ).

fof(f1949,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1948]) ).

fof(f1948,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f26,f21,f27,f11,f22,f12,f1242]) ).

fof(f1947,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1946,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f26,f21,f27,f11,f22,f12]) ).

fof(f1945,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1944]) ).

fof(f1944,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f26,f21,f27,f11,f22]) ).

fof(f1943,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1942,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f26,f21,f27,f11]) ).

fof(f1941,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f26,f21,f27]) ).

fof(f1939,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f26,f21]) ).

fof(f1937,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1935,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f851,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f851,plain,
    ( identity = multiply(sk_c1,sk_c2)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f297,f291]) ).

fof(f1933,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f850,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1931,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1930,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1065,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1065,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1064,f2]) ).

fof(f1064,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f644,f291]) ).

fof(f644,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f545]) ).

fof(f545,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f244]) ).

fof(f1929,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1092,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1092,plain,
    ( identity != inverse(identity)
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f277,f291]) ).

fof(f1927,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f291,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1925,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1458,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1923,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f789,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1921,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1920]) ).

fof(f1920,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1919,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1918]) ).

fof(f1918,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f144,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1917,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f90,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1915,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1914,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f134,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1913,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f131,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1911,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f42,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1909,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1908]) ).

fof(f1908,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f34,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1907,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1906]) ).

fof(f1906,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f85,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1905,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f866,f1,f2,f9,f41,f3,f58,f31,f4,f23,f246,f248,f5,f305,f304,f314,f307,f317,f306,f318,f309,f324,f332,f328,f350,f348,f352,f355,f363,f364,f368,f359,f382,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f356,f801,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f6,f1416,f28,f18,f8,f1421,f13,f240,f1435,f297,f1442,f1443,f1436,f1473,f1475,f277,f16,f17,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1903,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f866,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f239,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1901,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1900]) ).

fof(f1900,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f85,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f1899,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1898,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26,f42,f34]) ).

fof(f1897,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1896]) ).

fof(f1896,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26,f42]) ).

fof(f1895,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f131,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1893,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1892,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f134,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1891,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f90,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1889,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f144,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1887,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1885,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1884,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f789,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1883,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f1458,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1881,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f291,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1879,plain,
    ( spl0_1
    | spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1878,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1092,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1877,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1095,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1095,plain,
    ( identity != inverse(sk_c3)
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f239,f291]) ).

fof(f1875,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1065,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1873,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f850,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1871,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1870]) ).

fof(f1870,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f851,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1869,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21,f26]) ).

fof(f1867,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1866]) ).

fof(f1866,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27,f21]) ).

fof(f1865,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

fof(f1864,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f16,f17,f24,f14,f19,f239,f12,f22,f11,f27]) ).

fof(f1863,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f16,f17,f24,f14,f19,f239,f12,f22,f11]) ).

fof(f1861,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f16,f17,f24,f14,f19,f239,f12,f22]) ).

fof(f1859,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1858,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f16,f17,f24,f14,f19,f239,f12]) ).

fof(f1857,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f16,f17,f24,f14,f19,f239]) ).

fof(f1855,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1854]) ).

fof(f1854,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1242,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f16,f17,f24,f14,f19]) ).

fof(f1853,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1852]) ).

fof(f1852,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f311,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f16,f17,f24,f14,f19]) ).

fof(f1851,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1850,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f303,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f16,f17,f24,f14,f19]) ).

fof(f1849,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f39,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f16,f17,f24,f14,f19]) ).

fof(f1847,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f16,f17,f24,f14,f19]) ).

fof(f1845,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f16,f17,f24,f14]) ).

fof(f1843,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f16,f17,f24]) ).

fof(f1841,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1840]) ).

fof(f1840,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1445,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f16,f17]) ).

fof(f1839,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1838,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f16,f17]) ).

fof(f1837,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1836]) ).

fof(f1836,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1835,plain,
    ( spl0_1
    | spl0_6
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1834]) ).

fof(f1834,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_17 ),
    inference(global_subsumption,[],[f869,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1833,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1832]) ).

fof(f1832,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f791,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1831,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f1273,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1829,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1828]) ).

fof(f1828,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1028,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1827,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1826,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1023,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1825,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1824,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1022,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1823,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1822]) ).

fof(f1822,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1017,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1821,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1820,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(global_subsumption,[],[f1008,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1819,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1818]) ).

fof(f1818,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f1007,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1817,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1816]) ).

fof(f1816,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(global_subsumption,[],[f1004,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1815,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1814]) ).

fof(f1814,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f681,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1813,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14 ),
    inference(global_subsumption,[],[f679,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1811,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1810]) ).

fof(f1810,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f678,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1809,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1808]) ).

fof(f1808,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f984,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1807,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1806]) ).

fof(f1806,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f978,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1805,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1804]) ).

fof(f1804,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f975,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1803,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1802]) ).

fof(f1802,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f946,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1801,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f945,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1799,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1798]) ).

fof(f1798,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f936,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1797,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f895,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1795,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1794]) ).

fof(f1794,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f894,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1793,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f493,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1791,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f498,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1789,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1788]) ).

fof(f1788,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f483,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1787,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_14 ),
    inference(global_subsumption,[],[f481,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1785,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f480,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1783,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | spl0_1
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f280,f1,f2,f9,f43,f44,f45,f46,f3,f52,f53,f31,f59,f74,f77,f51,f81,f4,f23,f5,f55,f625,f628,f634,f624,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f34,f42,f26,f21,f27,f11,f22,f12,f239,f19,f14,f24,f17,f16]) ).

fof(f1781,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1780,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869,f280]) ).

fof(f865,plain,
    ( identity != sk_c6
    | spl0_16 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f1330,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1329,f280]) ).

fof(f1329,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f26,f280]) ).

fof(f1326,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f21,f280]) ).

fof(f1321,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f6,f280]) ).

fof(f1316,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1315,f280]) ).

fof(f1315,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f16,f280]) ).

fof(f1312,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f280]) ).

fof(f1309,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f27,f280]) ).

fof(f1304,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c2 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f11,f280]) ).

fof(f1285,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c2 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f10,f280]) ).

fof(f1222,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f280]) ).

fof(f1188,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1075,f280]) ).

fof(f1075,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f15,f280]) ).

fof(f1191,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1071,f280]) ).

fof(f1071,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f25,f280]) ).

fof(f1074,plain,
    ( identity = multiply(sk_c3,identity)
    | identity = multiply(sk_c4,identity)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1073,f291]) ).

fof(f1073,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | identity = multiply(sk_c4,identity)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1072,f280]) ).

fof(f1072,plain,
    ( identity = multiply(sk_c4,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1071,f291]) ).

fof(f1043,plain,
    ( identity = multiply(sk_c4,identity)
    | identity = inverse(sk_c3)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1042,f291]) ).

fof(f1042,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | identity = inverse(sk_c3)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1041,f280]) ).

fof(f1041,plain,
    ( identity = inverse(sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f291]) ).

fof(f839,plain,
    ( identity = multiply(sk_c2,identity)
    | identity = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f838,f291]) ).

fof(f838,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | identity = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f837,f280]) ).

fof(f837,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f836,f291]) ).

fof(f836,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f835,f280]) ).

fof(f835,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f834,f1]) ).

fof(f834,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f291]) ).

fof(f1779,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1778]) ).

fof(f1778,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f480,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1777,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1776]) ).

fof(f1776,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f481,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1775,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f483,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1773,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1772]) ).

fof(f1772,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f498,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1771,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f493,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1769,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f894,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1767,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1766]) ).

fof(f1766,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f895,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1765,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f936,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1763,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1762]) ).

fof(f1762,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f945,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1761,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1760]) ).

fof(f1760,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f946,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1759,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f975,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1757,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

fof(f1756,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f978,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1755,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f984,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1753,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1752]) ).

fof(f1752,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f678,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1751,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1750]) ).

fof(f1750,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f679,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1749,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1748]) ).

fof(f1748,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f681,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1747,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1746]) ).

fof(f1746,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1004,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1745,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1744]) ).

fof(f1744,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1007,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1743,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1742]) ).

fof(f1742,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1008,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1741,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1740]) ).

fof(f1740,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1017,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1739,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1738]) ).

fof(f1738,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1022,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1737,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1023,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1735,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1028,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1733,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1273,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1731,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f791,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1729,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1728]) ).

fof(f1728,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16,f869]) ).

fof(f1727,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1726,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17,f16]) ).

fof(f1725,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1724,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f16,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24,f17]) ).

fof(f1723,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1445,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24]) ).

fof(f1721,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f291,f26,f21,f27,f11,f22,f12,f19,f14,f24]) ).

fof(f1719,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1718]) ).

fof(f1718,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f291,f26,f21,f27,f11,f22,f12,f19,f14]) ).

fof(f1717,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1716,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f291,f26,f21,f27,f11,f22,f12,f19]) ).

fof(f1715,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f39,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1713,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f303,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1711,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f311,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1709,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1242,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1707,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f239,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1705,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f291,f26,f21,f27,f11,f22,f12]) ).

fof(f1703,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1702,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f291,f26,f21,f27,f11,f22]) ).

fof(f1701,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f291,f26,f21,f27,f11]) ).

fof(f1699,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f291,f26,f21,f27]) ).

fof(f1697,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1696,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f291,f26,f21]) ).

fof(f1695,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f291,f26]) ).

fof(f1693,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f851,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1691,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f850,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1689,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1688,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1065,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1687,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1095,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1685,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1092,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1683,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1682,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1681,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1458,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1679,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1678,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f789,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1677,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1675,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f144,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1673,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1672]) ).

fof(f1672,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f90,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1671,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f134,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1669,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f131,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1667,plain,
    ( spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f42,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1665,plain,
    ( spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f34,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1663,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f85,f1,f2,f9,f3,f31,f4,f23,f5,f280,f55,f625,f628,f634,f839,f869,f1043,f624,f1074,f1191,f1188,f1222,f1285,f1304,f1309,f1312,f1316,f1321,f1326,f1330,f7,f25,f15,f20,f10,f17,f16,f6,f28,f18,f8,f13,f865,f24,f14,f19,f12,f22,f11,f27,f21,f26,f291]) ).

fof(f1661,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1660]) ).

fof(f1660,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f34,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f999,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f896,f872]) ).

fof(f896,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f39,f887]) ).

fof(f887,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f880,f2]) ).

fof(f880,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f635,f872]) ).

fof(f1627,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f850,f870]) ).

fof(f872,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f870,f850]) ).

fof(f1471,plain,
    ( ! [X0] : multiply(inverse(sk_c2),X0) = X0
    | ~ spl0_17 ),
    inference(superposition,[],[f55,f876]) ).

fof(f876,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f875,f1]) ).

fof(f875,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f870]) ).

fof(f1450,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1449,f1]) ).

fof(f1449,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f870]) ).

fof(f1448,plain,
    ( identity = multiply(inverse(sk_c2),identity)
    | ~ spl0_17 ),
    inference(superposition,[],[f55,f870]) ).

fof(f870,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f882,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f800,f872]) ).

fof(f878,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f58,f872]) ).

fof(f877,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f41,f872]) ).

fof(f874,plain,
    ( identity = multiply(inverse(sk_c2),identity)
    | ~ spl0_17 ),
    inference(superposition,[],[f55,f870]) ).

fof(f873,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f850,f870]) ).

fof(f1659,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f42,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1657,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1656]) ).

fof(f1656,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f131,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1655,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1654]) ).

fof(f1654,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f134,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1653,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f85,f281]) ).

fof(f281,plain,
    ( sk_c8 != sk_c7
    | spl0_9 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f1651,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1650,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f90,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1649,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1648,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f144,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1647,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1646]) ).

fof(f1646,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1645,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1644]) ).

fof(f1644,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f789,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1643,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1642,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1458,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1641,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1640,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999,f291]) ).

fof(f1639,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887,f999]) ).

fof(f1637,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1636,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092,f887]) ).

fof(f1635,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f887,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627,f1092]) ).

fof(f1633,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1095,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627]) ).

fof(f1631,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1630,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1065,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627]) ).

fof(f1629,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851,f1627]) ).

fof(f1626,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f815,f810,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872,f851]) ).

fof(f1624,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26,f872]) ).

fof(f1622,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21,f26]) ).

fof(f1620,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1619,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27,f21]) ).

fof(f1618,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1617]) ).

fof(f1617,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1548,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27]) ).

fof(f1548,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_9
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1547,f281]) ).

fof(f1547,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f16,f876]) ).

fof(f1616,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1615,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1552,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27]) ).

fof(f1552,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_9
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1551,f281]) ).

fof(f1551,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f17,f876]) ).

fof(f1614,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1613,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11,f27]) ).

fof(f1612,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f24,f14,f19,f39,f303,f311,f1242,f12,f22,f11]) ).

fof(f1610,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f24,f14,f19,f39,f303,f311,f1242,f12,f22]) ).

fof(f1608,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f24,f14,f19,f39,f303,f311,f1242,f12]) ).

fof(f1606,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1605]) ).

fof(f1605,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f239,f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f24,f14,f19,f39,f303,f311,f1242]) ).

fof(f1604,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f24,f14,f19,f39,f303,f311,f1242]) ).

fof(f1602,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f24,f14,f19,f39,f303,f311]) ).

fof(f1600,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f24,f14,f19,f39,f303]) ).

fof(f1598,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1597]) ).

fof(f1597,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f303,f24,f14,f19,f39]) ).

fof(f1596,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1595]) ).

fof(f1595,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f303,f39,f24,f14,f19]) ).

fof(f1594,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1593,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f303,f39,f24,f14]) ).

fof(f1592,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1591]) ).

fof(f1591,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f303,f39,f24]) ).

fof(f1590,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1445,f1,f2,f9,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f850,f801,f873,f874,f877,f878,f882,f797,f816,f807,f802,f624,f1092,f887,f999,f872,f815,f810,f1242,f851,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f291,f297,f1442,f1443,f870,f1448,f1450,f876,f1471,f277,f26,f21,f27,f11,f22,f12,f311,f303,f39]) ).

fof(f1588,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1587]) ).

fof(f1587,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f815,f810,f1242,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12,f311,f303,f39]) ).

fof(f1586,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1585]) ).

fof(f1585,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f815,f810,f1242,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12,f311,f303]) ).

fof(f1584,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1583]) ).

fof(f1583,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12,f311]) ).

fof(f1582,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1581]) ).

fof(f1581,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f413,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f413,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f337,f304]) ).

fof(f337,plain,
    ( identity = multiply(sk_c1,multiply(sk_c2,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f335,f232]) ).

fof(f232,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f35]) ).

fof(f35,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f335,plain,
    ( multiply(sk_c1,multiply(sk_c2,identity)) = multiply(sk_c8,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f326]) ).

fof(f326,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c2,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f309,f232]) ).

fof(f1580,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f414,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f414,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f337]) ).

fof(f1578,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f415,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f415,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f306,f337]) ).

fof(f1576,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1242,f292]) ).

fof(f1574,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f427,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f427,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f418,f304]) ).

fof(f418,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f417,f1]) ).

fof(f417,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c2,multiply(identity,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f416,f3]) ).

fof(f416,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(multiply(sk_c2,identity),X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f337]) ).

fof(f1572,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1571,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f428,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f428,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f304,f418]) ).

fof(f1570,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f429,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f429,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f306,f418]) ).

fof(f1568,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1567]) ).

fof(f1567,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f431,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f431,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f423,f418]) ).

fof(f423,plain,
    ( sk_c4 = multiply(sk_c1,multiply(sk_c2,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f418,f326]) ).

fof(f1566,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1565,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f432,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f432,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f425,f418]) ).

fof(f425,plain,
    ( sk_c5 = multiply(sk_c1,multiply(sk_c2,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f418,f327]) ).

fof(f327,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c2,sk_c5)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f309,f271]) ).

fof(f1564,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f239,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f1562,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22,f12]) ).

fof(f1560,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11,f22]) ).

fof(f1558,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27,f11]) ).

fof(f1556,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21,f27]) ).

fof(f1554,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | ~ spl0_2
    | spl0_9
    | spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1552,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21]) ).

fof(f1550,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | ~ spl0_2
    | spl0_9
    | spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1548,f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21]) ).

fof(f1546,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6,f1416,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26,f21]) ).

fof(f1544,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1543]) ).

fof(f1543,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f9,f39,f41,f3,f58,f31,f24,f14,f4,f19,f23,f5,f305,f304,f314,f307,f317,f306,f318,f309,f332,f55,f625,f628,f634,f635,f741,f739,f799,f631,f803,f804,f806,f800,f801,f797,f816,f807,f802,f624,f311,f815,f810,f1242,f303,f12,f7,f1406,f22,f25,f15,f20,f10,f11,f27,f17,f16,f6,f1416,f21,f28,f18,f8,f1421,f13,f292,f297,f1442,f1443,f26]) ).

fof(f1542,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1540,f865]) ).

fof(f1540,plain,
    ( identity = sk_c6
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1534,f2]) ).

fof(f1534,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f1453]) ).

fof(f1453,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1451,f244]) ).

fof(f1451,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f55,f1405]) ).

fof(f1405,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f38,f12]) ).

fof(f38,plain,
    ( sk_c2 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

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

fof(f1538,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1533,f281]) ).

fof(f1533,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f1412,f1453]) ).

fof(f1412,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f38,f12,f1405,f7,f22,f1407,f25,f15,f20,f10,f11]) ).

fof(f1407,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f38,f12,f1405,f7,f22]) ).

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

fof(f1536,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1532,f281]) ).

fof(f1532,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f1453,f1412]) ).

fof(f1526,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1524,f281]) ).

fof(f1524,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1518,f1441]) ).

fof(f1441,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1439,f1]) ).

fof(f1439,plain,
    ( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f55,f276]) ).

fof(f276,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f1518,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1412,f1504]) ).

fof(f1504,plain,
    ( sk_c8 = sk_c6
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1502,f1]) ).

fof(f1502,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1405,f1485]) ).

fof(f1485,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1441,f1438]) ).

fof(f1438,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f244]) ).

fof(f1523,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1522]) ).

fof(f1522,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1517,f281]) ).

fof(f1517,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1484,f1504]) ).

fof(f1484,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f1441,f1412]) ).

fof(f1521,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1516,f281]) ).

fof(f1516,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1504,f1484]) ).

fof(f1470,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f35,f232,f234,f23,f5,f478,f477,f514,f522,f55,f625,f628,f634,f624,f640,f632,f513,f12,f7,f22,f25,f1408,f15,f1409,f20,f1410,f10,f1411,f11,f27,f17,f16,f6,f21,f26,f28,f18,f8,f13,f276,f1441,f1440,f301,f1444,f1447,f1446,f71,f1464,f1458,f1459]) ).

fof(f1459,plain,
    ( ! [X0,X1] :
        ( sk_c7 != multiply(sk_c8,multiply(X0,multiply(X1,sk_c8)))
        | sk_c8 != inverse(multiply(X0,X1)) )
    | ~ spl0_5 ),
    inference(superposition,[],[f71,f3]) ).

fof(f1464,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1457,f276]) ).

fof(f1457,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | sk_c8 != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f71,f1]) ).

fof(f1446,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f301]) ).

fof(f1447,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1445,f35]) ).

fof(f1444,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f301]) ).

fof(f1440,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f276]) ).

fof(f1411,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f478,f477,f514,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f301,f12,f7,f22,f25,f1408,f15,f1409,f20,f1410,f10]) ).

fof(f1410,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f478,f477,f514,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f301,f12,f7,f22,f25,f1408,f15,f1409,f20]) ).

fof(f1409,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f478,f477,f514,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f301,f12,f7,f22,f25,f1408,f15]) ).

fof(f1408,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f5,f478,f477,f514,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f301,f12,f7,f22,f25]) ).

fof(f513,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f301]) ).

fof(f632,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f234]) ).

fof(f640,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f232]) ).

fof(f522,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f513]) ).

fof(f514,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f301]) ).

fof(f477,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f25,f17,f7,f6,f24,f22,f21,f20,f14,f4,f19,f23,f28,f18,f8,f5,f16,f301,f15]) ).

fof(f478,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f7,f6,f24,f22,f21,f20,f14,f4,f19,f23,f28,f18,f8,f5,f16,f301,f15,f477,f17,f25]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f233,f1]) ).

fof(f233,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f232]) ).

fof(f1468,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f35,f232,f234,f23,f5,f478,f477,f514,f522,f55,f625,f628,f634,f624,f640,f632,f513,f12,f7,f22,f25,f1408,f15,f1409,f20,f1410,f10,f1411,f11,f27,f17,f16,f6,f21,f26,f28,f18,f8,f13,f276,f1441,f1440,f301,f1444,f1447,f1446,f71,f1464,f1458]) ).

fof(f1466,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1465,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f35,f232,f234,f23,f5,f478,f477,f514,f522,f55,f625,f628,f634,f624,f640,f632,f513,f12,f7,f22,f25,f1408,f15,f1409,f20,f1410,f10,f1411,f11,f27,f17,f16,f6,f21,f26,f28,f18,f8,f13,f276,f1441,f1440,f301,f1444,f1447,f1446,f71,f1464]) ).

fof(f1463,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1461,f244]) ).

fof(f1461,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1456,f1412]) ).

fof(f1456,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c8 != inverse(sk_c5)
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f71,f1405]) ).

fof(f1434,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1432,f291]) ).

fof(f1432,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f281,f701]) ).

fof(f701,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f687,f1]) ).

fof(f687,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f513,f291]) ).

fof(f1404,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f71,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38,f243]) ).

fof(f243,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f259,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f257]) ).

fof(f257,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f28,f243]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f255]) ).

fof(f255,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f18,f243]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
    | spl0_7 ),
    inference(superposition,[],[f3,f251]) ).

fof(f251,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | spl0_7 ),
    inference(subsumption_resolution,[],[f8,f243]) ).

fof(f1402,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f789,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38,f243]) ).

fof(f1400,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38,f243]) ).

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

fof(f1397,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f276,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1396,plain,
    ( spl0_2
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | spl0_2
    | spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f281,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1394,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1393,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f291,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1392,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1391,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f701,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1390,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1389]) ).

fof(f1389,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1067,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1067,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1066,f2]) ).

fof(f1066,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f640,f291]) ).

fof(f1388,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f851,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1386,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f854,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f854,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f301,f701]) ).

fof(f1384,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

fof(f1383,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f301,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1382,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f513,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1380,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12,f38]) ).

fof(f1378,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7,f12]) ).

fof(f1376,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22,f7]) ).

fof(f1374,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f7,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25,f22]) ).

fof(f1372,plain,
    ( spl0_2
    | spl0_7
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1371,plain,
    ( $false
    | spl0_2
    | spl0_7
    | spl0_16 ),
    inference(global_subsumption,[],[f865,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25]) ).

fof(f1370,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f445,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25]) ).

fof(f1368,plain,
    ( spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f288,f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25]) ).

fof(f1366,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15,f25]) ).

fof(f1364,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20,f15]) ).

fof(f1362,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10,f20]) ).

fof(f1360,plain,
    ( spl0_2
    | spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1359]) ).

fof(f1359,plain,
    ( $false
    | spl0_2
    | spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f442,f1,f2,f9,f3,f31,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10]) ).

fof(f1358,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1357,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f9,f3,f31,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11,f10]) ).

fof(f1356,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f10,f1,f2,f9,f3,f31,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27,f11]) ).

fof(f1354,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1353]) ).

fof(f1353,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17,f27]) ).

fof(f1352,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1351]) ).

fof(f1351,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16,f17]) ).

fof(f1350,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f15,f17,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6,f16]) ).

fof(f1348,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21,f6]) ).

fof(f1346,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1345]) ).

fof(f1345,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f24,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f6,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26,f21]) ).

fof(f1344,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f24,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f6,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28,f26]) ).

fof(f1342,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1341,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f6,f243,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18,f28]) ).

fof(f1340,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f6,f243,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8,f18]) ).

fof(f1338,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f5,f16,f15,f17,f25,f6,f243,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13,f8]) ).

fof(f1336,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1335,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f8,f5,f16,f15,f17,f25,f6,f243,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22,f13]) ).

fof(f1334,plain,
    ( spl0_2
    | spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1333,plain,
    ( $false
    | spl0_2
    | spl0_13
    | spl0_16 ),
    inference(global_subsumption,[],[f865,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22]) ).

fof(f387,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f15,f300]) ).

fof(f300,plain,
    ( sk_c8 != multiply(sk_c4,sk_c7)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f1332,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1330,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22]) ).

fof(f1328,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1326,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22]) ).

fof(f1325,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1324,plain,
    ( $false
    | spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7,f22]) ).

fof(f1323,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1322]) ).

fof(f1322,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1321,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7]) ).

fof(f1320,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1319,plain,
    ( $false
    | spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12,f7]) ).

fof(f1318,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1317,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1316,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12]) ).

fof(f1314,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1312,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12]) ).

fof(f1311,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1310]) ).

fof(f1310,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1309,f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12]) ).

fof(f1308,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f13,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38,f12]) ).

fof(f1306,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1305]) ).

fof(f1305,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1304,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38]) ).

fof(f1303,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1285,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38]) ).

fof(f1301,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1222,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38]) ).

fof(f1299,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1298]) ).

fof(f1298,plain,
    ( $false
    | spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f38]) ).

fof(f1297,plain,
    ( spl0_2
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1296]) ).

fof(f1296,plain,
    ( $false
    | spl0_2
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f866,f624,f1252,f1278,f1280,f1281,f1229,f1290,f38]) ).

fof(f1290,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1229,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624]) ).

fof(f1229,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f22,f866]) ).

fof(f1281,plain,
    ( sk_c2 = inverse(sk_c1)
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1280,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624]) ).

fof(f1280,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c2 = inverse(sk_c1)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f12,f866]) ).

fof(f1278,plain,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1252,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624]) ).

fof(f1252,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f7,f866]) ).

fof(f1277,plain,
    ( spl0_6
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1276]) ).

fof(f1276,plain,
    ( $false
    | spl0_6
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f292,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1275,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1274]) ).

fof(f1274,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1273,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1272,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1271,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f481,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1270,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1007,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1268,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1267]) ).

fof(f1267,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1266,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1266,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1265,f280]) ).

fof(f1265,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f27,f866]) ).

fof(f1264,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1263]) ).

fof(f1263,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1262,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1262,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1261,f280]) ).

fof(f1261,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f17,f866]) ).

fof(f1260,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1259]) ).

fof(f1259,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1258,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1258,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1257,f280]) ).

fof(f1257,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1256,f280]) ).

fof(f1256,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f16,f866]) ).

fof(f1255,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1253,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1253,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1252,f800]) ).

fof(f1251,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1250]) ).

fof(f1250,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1249,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1249,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1248,f800]) ).

fof(f1248,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1247,f280]) ).

fof(f1247,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | multiply(sk_c1,sk_c2) = sk_c8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f6,f866]) ).

fof(f1246,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1245]) ).

fof(f1245,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f303,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1244,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f1243,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1242,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1241,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f894,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1239,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1238]) ).

fof(f1238,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_13 ),
    inference(global_subsumption,[],[f810,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1237,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1236]) ).

fof(f1236,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_13 ),
    inference(global_subsumption,[],[f815,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1235,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1234]) ).

fof(f1234,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_13 ),
    inference(global_subsumption,[],[f480,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1233,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_13 ),
    inference(global_subsumption,[],[f1022,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1231,plain,
    ( spl0_6
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | spl0_6
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1229,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1228,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1227,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1226,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1226,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1225,f280]) ).

fof(f1225,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f21,f866]) ).

fof(f1224,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1222,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1221,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f427,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1219,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1218]) ).

fof(f1218,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f428,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1217,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1216,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f429,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1215,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f311,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1213,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f413,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1211,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1210,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f414,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1209,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f415,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1207,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1205,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1205,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1204,f280]) ).

fof(f1204,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1057,f280]) ).

fof(f1057,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f26,f866]) ).

fof(f1203,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f644,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1201,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1200]) ).

fof(f1200,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_13 ),
    inference(global_subsumption,[],[f640,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1199,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1198,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_13 ),
    inference(global_subsumption,[],[f632,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1197,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f622,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f622,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f244]) ).

fof(f1195,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1194,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f552,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f552,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f551,f1]) ).

fof(f551,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f545]) ).

fof(f1193,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1192]) ).

fof(f1192,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1191,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1190,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1189,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1188,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1187,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1186,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1185,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1185,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f424,f280]) ).

fof(f424,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f418,f387]) ).

fof(f1184,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1082,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1082,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl0_9
    | spl0_13 ),
    inference(forward_demodulation,[],[f451,f280]) ).

fof(f451,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f25,f300]) ).

fof(f1182,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1084,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1084,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl0_9
    | spl0_13 ),
    inference(forward_demodulation,[],[f387,f280]) ).

fof(f1180,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1179]) ).

fof(f1179,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f1088,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1088,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_9
    | spl0_13 ),
    inference(forward_demodulation,[],[f300,f280]) ).

fof(f1178,plain,
    ( spl0_6
    | spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | spl0_6
    | spl0_8
    | spl0_13 ),
    inference(global_subsumption,[],[f277,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1176,plain,
    ( spl0_6
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1175]) ).

fof(f1175,plain,
    ( $false
    | spl0_6
    | spl0_13 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f55,f625,f628,f634,f624,f239]) ).

fof(f1174,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1173]) ).

fof(f1173,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f839,f1043,f624,f1074,f1092,f724,f1168,f1172]) ).

fof(f1172,plain,
    ( identity = inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1171,f291]) ).

fof(f1171,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f441,f280]) ).

fof(f441,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1168,plain,
    ( identity = inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f723,f291]) ).

fof(f723,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f441,f280]) ).

fof(f724,plain,
    ( identity = inverse(identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f723,f291]) ).

fof(f1170,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1169,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f839,f1043,f624,f1074,f1092,f724,f1168]) ).

fof(f1167,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1166,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f839,f1043,f624,f1074,f1092,f724]) ).

fof(f1165,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1164,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f870,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1163,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f872,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1161,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f876,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1159,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f999,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1157,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f887,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1155,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1085,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1085,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13 ),
    inference(forward_demodulation,[],[f1084,f291]) ).

fof(f1153,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1089,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1089,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13 ),
    inference(forward_demodulation,[],[f1088,f291]) ).

fof(f1151,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1149,plain,
    ( spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1095,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1147,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1098,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1098,plain,
    ( identity != multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f766,f800]) ).

fof(f766,plain,
    ( identity != multiply(sk_c1,sk_c2)
    | identity != multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f749,f39]) ).

fof(f749,plain,
    ( identity != multiply(sk_c2,identity)
    | identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f39]) ).

fof(f733,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | identity != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f732,f291]) ).

fof(f732,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f731,f291]) ).

fof(f731,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c8)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f65,f280]) ).

fof(f65,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c7)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_3
  <=> ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c7)
        | sk_c8 != multiply(X3,inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1145,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f755,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f755,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f754]) ).

fof(f754,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f2]) ).

fof(f1143,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1032,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1032,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f754]) ).

fof(f1141,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f753,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f753,plain,
    ( identity != sk_c1
    | identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f635]) ).

fof(f1139,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1110,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1110,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1109,f291]) ).

fof(f1109,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1108,f244]) ).

fof(f1108,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1107,f1]) ).

fof(f1107,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f751,f291]) ).

fof(f751,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f244]) ).

fof(f1137,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1136]) ).

fof(f1136,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1116,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1116,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1115,f291]) ).

fof(f1115,plain,
    ( identity != multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1114,f35]) ).

fof(f1114,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1113,f1]) ).

fof(f1113,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f750,f291]) ).

fof(f750,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f35]) ).

fof(f1135,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f733,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1133,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1122,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1122,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(X3))
        | identity != multiply(inverse(X3),identity) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1121,f291]) ).

fof(f1121,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f731,f291]) ).

fof(f1131,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1130,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1127,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f16,f15,f17,f25,f7,f6,f277,f18,f28,f280,f55,f625,f628,f634,f291,f724,f839,f1043,f624,f1074,f1092]) ).

fof(f1127,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(X3))
        | identity != multiply(inverse(X3),identity) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1126,f291]) ).

fof(f1126,plain,
    ( ! [X3] :
        ( identity != multiply(inverse(X3),identity)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1125,f291]) ).

fof(f1125,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c8)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f65,f280]) ).

fof(f1129,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1127,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1083,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13 ),
    inference(forward_demodulation,[],[f1082,f291]) ).

fof(f1124,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1123]) ).

fof(f1123,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1122,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1120,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1119,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f733,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1118,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1116,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1112,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1111]) ).

fof(f1111,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1110,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1106,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f753,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1104,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1032,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1102,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f755,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1100,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1099,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1098,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1097,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1096]) ).

fof(f1096,plain,
    ( $false
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1095,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1094,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1093,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f1092,f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1091,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085,f1089]) ).

fof(f1087,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1086,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | spl0_13
    | spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f300,f387,f16,f15,f17,f25,f7,f6,f18,f28,f280,f55,f625,f628,f634,f291,f839,f869,f1043,f624,f1074,f1083,f1085]) ).

fof(f1031,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1030,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1029,f291]) ).

fof(f1029,plain,
    ( identity != sk_c8
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f975,f276]) ).

fof(f1027,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1025,f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004,f1008]) ).

fof(f543,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_9
    | spl0_14 ),
    inference(superposition,[],[f442,f280]) ).

fof(f1025,plain,
    ( identity != inverse(identity)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1024,f291]) ).

fof(f1024,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1023,f276]) ).

fof(f1021,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1019,f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004,f1008]) ).

fof(f1019,plain,
    ( identity != inverse(identity)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1018,f291]) ).

fof(f1018,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1017,f276]) ).

fof(f1016,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1014,f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004,f1008]) ).

fof(f1014,plain,
    ( identity != inverse(identity)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1013,f291]) ).

fof(f1013,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f678,f276]) ).

fof(f1012,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f696,f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004,f1008]) ).

fof(f696,plain,
    ( identity != inverse(identity)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f695,f291]) ).

fof(f695,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f678,f276]) ).

fof(f1010,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004,f1008]) ).

fof(f1006,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1005,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679,f1004]) ).

fof(f1003,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1002]) ).

fof(f1002,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999,f679]) ).

fof(f1001,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1000]) ).

fof(f1000,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f442,f16,f15,f17,f25,f7,f6,f18,f28,f280,f543,f481,f55,f625,f628,f634,f291,f679,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f882,f887,f999]) ).

fof(f998,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f996,f730]) ).

fof(f730,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f729,f291]) ).

fof(f729,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f728,f276]) ).

fof(f728,plain,
    ( identity = inverse(inverse(identity))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f727,f291]) ).

fof(f727,plain,
    ( identity = inverse(inverse(sk_c8))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f287,f280]) ).

fof(f287,plain,
    ( identity = inverse(inverse(sk_c7))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f996,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f995,f568]) ).

fof(f568,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f506,f232]) ).

fof(f506,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f492]) ).

fof(f492,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f234]) ).

fof(f995,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f943,f1]) ).

fof(f943,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f791,f492]) ).

fof(f994,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f993]) ).

fof(f993,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f992,f730]) ).

fof(f992,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f991,f291]) ).

fof(f991,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f942,f1]) ).

fof(f942,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f791,f506]) ).

fof(f990,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f989]) ).

fof(f989,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f988,f730]) ).

fof(f988,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f987,f291]) ).

fof(f987,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f986,f276]) ).

fof(f986,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f985,f872]) ).

fof(f985,plain,
    ( identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f984,f887]) ).

fof(f982,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f981,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f980,f730]) ).

fof(f980,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f979,f291]) ).

fof(f979,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f978,f276]) ).

fof(f977,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f975,f730]) ).

fof(f974,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f972,f730]) ).

fof(f972,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f971,f568]) ).

fof(f971,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f938,f1]) ).

fof(f938,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f791,f496]) ).

fof(f496,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f487,f232]) ).

fof(f970,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f969,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f968,f730]) ).

fof(f968,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f967,f291]) ).

fof(f967,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f937,f1]) ).

fof(f937,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f791,f503]) ).

fof(f503,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f496]) ).

fof(f966,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f965,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f964,f730]) ).

fof(f964,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f963,f872]) ).

fof(f963,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f962,f1]) ).

fof(f962,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f936,f872]) ).

fof(f961,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f960]) ).

fof(f960,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f959,f730]) ).

fof(f959,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f958,f872]) ).

fof(f958,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f935,f1]) ).

fof(f935,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f791,f870]) ).

fof(f957,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f956,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f955,f730]) ).

fof(f955,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f954,f887]) ).

fof(f954,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f953,f1]) ).

fof(f953,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f934,f887]) ).

fof(f952,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f950,f730]) ).

fof(f950,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f949,f291]) ).

fof(f949,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f948,f276]) ).

fof(f948,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f947,f872]) ).

fof(f947,plain,
    ( identity != inverse(inverse(sk_c2))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f946,f887]) ).

fof(f893,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f892]) ).

fof(f892,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_15
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f39,f41,f3,f58,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f5,f297,f303,f305,f304,f311,f314,f307,f317,f306,f318,f309,f332,f446,f16,f15,f17,f25,f7,f6,f18,f28,f280,f544,f482,f55,f625,f628,f634,f291,f635,f741,f739,f797,f799,f631,f802,f803,f804,f806,f807,f800,f810,f815,f816,f680,f839,f850,f801,f870,f873,f874,f876,f872,f877,f878,f887,f882]) ).

fof(f680,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_9
    | ~ spl0_11
    | spl0_15 ),
    inference(superposition,[],[f482,f291]) ).

fof(f482,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_9
    | spl0_15 ),
    inference(superposition,[],[f446,f280]) ).

fof(f544,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_9
    | spl0_15 ),
    inference(superposition,[],[f446,f280]) ).

fof(f446,plain,
    ( sk_c8 != multiply(sk_c1,sk_c7)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f871,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f833,f299,f290,f279,f242,f33,f868,f864]) ).

fof(f833,plain,
    ( identity = multiply(sk_c2,identity)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f832,f291]) ).

fof(f832,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f831,f280]) ).

fof(f831,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f830,f1]) ).

fof(f830,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f829,f571]) ).

fof(f571,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f506,f545]) ).

fof(f829,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f17,f291]) ).

fof(f814,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f813,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f809,f291]) ).

fof(f787,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f786,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f785,f1]) ).

fof(f785,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f784,f291]) ).

fof(f784,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f755,f276]) ).

fof(f783,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f782]) ).

fof(f782,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f781,f1]) ).

fof(f781,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f780,f572]) ).

fof(f572,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f506,f246]) ).

fof(f780,plain,
    ( identity != multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f779,f291]) ).

fof(f779,plain,
    ( identity != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f778,f240]) ).

fof(f778,plain,
    ( identity != multiply(sk_c3,inverse(sk_c3))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f752,f503]) ).

fof(f752,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c3,inverse(sk_c3))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f240]) ).

fof(f777,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f776]) ).

fof(f776,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f775,f1]) ).

fof(f775,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f774,f571]) ).

fof(f774,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f773,f291]) ).

fof(f773,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f772,f244]) ).

fof(f772,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f751,f503]) ).

fof(f771,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f769,f496]) ).

fof(f769,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f768,f291]) ).

fof(f768,plain,
    ( identity != multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f767,f35]) ).

fof(f767,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f750,f503]) ).

fof(f765,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f764]) ).

fof(f764,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f763,f1]) ).

fof(f763,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f762,f291]) ).

fof(f762,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f761,f276]) ).

fof(f761,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f748,f503]) ).

fof(f748,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f276]) ).

fof(f760,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f759,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f758,f1]) ).

fof(f758,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f757,f291]) ).

fof(f757,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f756,f276]) ).

fof(f756,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f747,f1]) ).

fof(f747,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f733,f730]) ).

fof(f726,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f8,f288,f5,f16,f15,f17,f25,f7,f6,f18,f28,f280,f541,f480,f276,f55,f625,f628,f634,f291,f696,f724]) ).

fof(f541,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f288,f280]) ).

fof(f721,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f715,f276]) ).

fof(f715,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(superposition,[],[f442,f710]) ).

fof(f710,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f708,f503]) ).

fof(f664,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f663]) ).

fof(f663,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f662,f292]) ).

fof(f662,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f661,f2]) ).

fof(f661,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f638,f280]) ).

fof(f638,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f55,f513]) ).

fof(f660,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f658,f292]) ).

fof(f658,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f637,f2]) ).

fof(f637,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f55,f486]) ).

fof(f486,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f483]) ).

fof(f592,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f591]) ).

fof(f591,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f584,f277]) ).

fof(f584,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f35,f568]) ).

fof(f538,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f537,plain,
    ( $false
    | spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f251,f253,f255,f256,f257,f259,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f28,f18,f534,f243]) ).

fof(f536,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f535]) ).

fof(f535,plain,
    ( $false
    | spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f243,f251,f253,f255,f256,f257,f259,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f28,f18,f534]) ).

fof(f533,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f532]) ).

fof(f532,plain,
    ( $false
    | spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f243,f251,f253,f255,f256,f257,f259,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f28,f18]) ).

fof(f531,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f13,f12,f11,f10,f1,f2,f9,f3,f55,f31,f27,f26,f24,f22,f21,f20,f14,f4,f19,f23,f243,f251,f253,f255,f256,f257,f259,f18,f8,f5,f16,f15,f17,f25,f7,f6,f296,f489,f518,f519,f521,f28]) ).

fof(f529,plain,
    ( ~ spl0_7
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f528]) ).

fof(f528,plain,
    ( $false
    | ~ spl0_7
    | spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f524,f281]) ).

fof(f527,plain,
    ( ~ spl0_7
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl0_7
    | spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f523,f281]) ).

fof(f517,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f515,f35]) ).

fof(f515,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f512]) ).

fof(f512,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f68,f301]) ).

fof(f68,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f511,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f510]) ).

fof(f510,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f509,f35]) ).

fof(f509,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f508,f280]) ).

fof(f508,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f68,f492]) ).

fof(f475,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f467,f281]) ).

fof(f467,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f1,f458]) ).

fof(f458,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f457,f359]) ).

fof(f457,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f456,f281]) ).

fof(f456,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f455,f1]) ).

fof(f455,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f357]) ).

fof(f357,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f352,f232]) ).

fof(f473,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f469,f276]) ).

fof(f469,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f466]) ).

fof(f466,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f68,f458]) ).

fof(f471,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f470,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f465,f281]) ).

fof(f465,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f458,f1]) ).

fof(f454,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f452,f369]) ).

fof(f369,plain,
    ( sk_c8 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f300,f357]) ).

fof(f452,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f451,f359]) ).

fof(f447,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f411,f299,f295,f238,f67,f37,f444,f440]) ).

fof(f411,plain,
    ( sk_c8 != multiply(sk_c1,sk_c7)
    | sk_c8 != inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f68,f397]) ).

fof(f397,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f396,f352]) ).

fof(f396,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f392]) ).

fof(f392,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f389,f352]) ).

fof(f389,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8)
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f304,f387]) ).

fof(f375,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f374,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f372,f277]) ).

fof(f372,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f35,f357]) ).

fof(f302,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f5,f299,f295]) ).

fof(f293,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f270,f67,f290,f286]) ).

fof(f270,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_4 ),
    inference(inner_rewriting,[],[f264]) ).

fof(f264,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(inverse(sk_c7))
    | ~ spl0_4 ),
    inference(superposition,[],[f68,f2]) ).

fof(f282,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f263,f67,f279,f275]) ).

fof(f263,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f68,f1]) ).

fof(f269,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f266,f240]) ).

fof(f266,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f262]) ).

fof(f262,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f68,f257]) ).

fof(f245,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f242,f238]) ).

fof(f231,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f212,f39]) ).

fof(f212,plain,
    ( sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f208]) ).

fof(f208,plain,
    ( sk_c2 != sk_c2
    | sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f191,f118]) ).

fof(f118,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f1]) ).

fof(f117,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f107]) ).

fof(f191,plain,
    ( ! [X6] :
        ( sk_c2 != multiply(X6,sk_c2)
        | sk_c2 != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f190,f90]) ).

fof(f190,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c2 != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f189,f85]) ).

fof(f189,plain,
    ( ! [X6] :
        ( sk_c2 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f68,f90]) ).

fof(f226,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f213,f144]) ).

fof(f213,plain,
    ( sk_c2 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f206]) ).

fof(f206,plain,
    ( sk_c2 != sk_c2
    | sk_c2 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f191,f1]) ).

fof(f224,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f223]) ).

fof(f223,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f222,f144]) ).

fof(f222,plain,
    ( sk_c2 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f215,f134]) ).

fof(f215,plain,
    ( sk_c2 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f204]) ).

fof(f204,plain,
    ( sk_c2 != sk_c2
    | sk_c2 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f191,f97]) ).

fof(f97,plain,
    ( sk_c2 = multiply(sk_c3,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f88,f90]) ).

fof(f88,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f85]) ).

fof(f221,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f220]) ).

fof(f220,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f219,f39]) ).

fof(f219,plain,
    ( sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f203,f90]) ).

fof(f203,plain,
    ( sk_c2 != sk_c8
    | sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f191,f44]) ).

fof(f218,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f216,f39]) ).

fof(f216,plain,
    ( sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f202]) ).

fof(f202,plain,
    ( sk_c2 != sk_c2
    | sk_c2 != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f191,f104]) ).

fof(f104,plain,
    ( sk_c2 = multiply(sk_c1,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f103,f93]) ).

fof(f93,plain,
    ( sk_c2 = multiply(sk_c2,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f90]) ).

fof(f103,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c2,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f101,f90]) ).

fof(f101,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f51,f93]) ).

fof(f184,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f183,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f182,f1]) ).

fof(f182,plain,
    ( sk_c2 != multiply(identity,sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f181,f144]) ).

fof(f181,plain,
    ( sk_c2 != multiply(identity,inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f169,f93]) ).

fof(f169,plain,
    ( sk_c2 != multiply(sk_c2,sk_c2)
    | sk_c2 != multiply(identity,inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f111,f144]) ).

fof(f111,plain,
    ( ! [X3] :
        ( sk_c2 != multiply(inverse(X3),sk_c2)
        | sk_c2 != multiply(X3,inverse(X3)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f110,f90]) ).

fof(f110,plain,
    ( ! [X3] :
        ( sk_c2 != multiply(inverse(X3),sk_c2)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f109,f90]) ).

fof(f109,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(inverse(X3),sk_c8)
        | sk_c8 != multiply(X3,inverse(X3)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f65,f85]) ).

fof(f180,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f178,f97]) ).

fof(f178,plain,
    ( sk_c2 != multiply(sk_c3,sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f177,f90]) ).

fof(f177,plain,
    ( sk_c2 != multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f176,f42]) ).

fof(f176,plain,
    ( sk_c2 != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f175,f93]) ).

fof(f175,plain,
    ( sk_c2 != multiply(sk_c2,sk_c2)
    | sk_c2 != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f168,f90]) ).

fof(f168,plain,
    ( sk_c2 != multiply(sk_c8,sk_c2)
    | sk_c2 != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f111,f42]) ).

fof(f174,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f172,f104]) ).

fof(f172,plain,
    ( sk_c2 != multiply(sk_c1,sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f171,f39]) ).

fof(f171,plain,
    ( sk_c2 != multiply(sk_c1,inverse(sk_c1))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f167,f93]) ).

fof(f167,plain,
    ( sk_c2 != multiply(sk_c2,sk_c2)
    | sk_c2 != multiply(sk_c1,inverse(sk_c1))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f111,f39]) ).

fof(f72,plain,
    ( spl0_3
    | spl0_4
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f31,f70,f67,f67,f64]) ).

fof(f40,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f37,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n007.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 04:24:17 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (17631)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (17634)WARNING: value z3 for option sas not known
% 0.15/0.32  % (17633)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  % (17636)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32  % (17632)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (17638)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32  % (17637)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32  % (17635)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (17634)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [4]
% 0.15/0.35  TRYING [5]
% 0.15/0.35  TRYING [4]
% 0.15/0.38  TRYING [6]
% 0.15/0.41  % (17634)First to succeed.
% 0.15/0.43  % (17634)Refutation found. Thanks to Tanya!
% 0.15/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45  % (17634)------------------------------
% 0.15/0.45  % (17634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.45  % (17634)Termination reason: Refutation
% 0.15/0.45  
% 0.15/0.45  % (17634)Memory used [KB]: 1932
% 0.15/0.45  % (17634)Time elapsed: 0.113 s
% 0.15/0.45  % (17634)Instructions burned: 233 (million)
% 0.15/0.45  % (17634)------------------------------
% 0.15/0.45  % (17634)------------------------------
% 0.15/0.45  % (17631)Success in time 0.138 s
%------------------------------------------------------------------------------