%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP382-1 : 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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 12:05:41 EDT 2024

% Result   : Unsatisfiable 1.71s 0.57s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f7058,plain,
    $false,
    inference(avatar_sat_refutation,[],[f86,f352,f397,f2244,f2373,f2554,f2907,f3426,f4557,f4705,f4708,f4712,f4717,f5063,f5067,f5069,f5071,f5074,f5096,f6101,f6103,f6105,f6107,f6109,f6111,f6141,f6143,f6145,f6148,f6151,f6154,f6157,f6160,f6209,f6300,f6597,f6641,f6792,f6794,f6796,f6798,f6983,f6986,f6988,f6990,f6993,f6997,f7000,f7003,f7006,f7009,f7012,f7015,f7017,f7020,f7023,f7025,f7027,f7029,f7031,f7033,f7036,f7053,f7055,f7057]) ).

fof(f7057,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7056]) ).

fof(f7056,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2372,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72,f7047,f73,f7048,f70,f7049,f2548]) ).

fof(f2548,plain,
    ( sk_c11 != multiply(sk_c3,sk_c12)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2547]) ).

fof(f2547,plain,
    ( spl0_10
  <=> sk_c11 = multiply(sk_c3,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f7049,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72,f7047,f73,f7048,f70]) ).

fof(f70,axiom,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).

fof(f7048,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72,f7047,f73]) ).

fof(f73,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_70) ).

fof(f7047,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72]) ).

fof(f72,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).

fof(f7046,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71]) ).

fof(f71,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).

fof(f7045,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64]) ).

fof(f64,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).

fof(f7044,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f65,f84]) ).

fof(f6939,plain,
    ( sk_c3 = multiply(inverse(sk_c2),sk_c11)
    | spl0_2 ),
    inference(superposition,[],[f114,f6306]) ).

fof(f54,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c4,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f6994,plain,
    ( sk_c3 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f55,f84]) ).

fof(f63,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).

fof(f60,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).

fof(f62,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).

fof(f61,axiom,
    ( sk_c3 = inverse(sk_c2)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).

fof(f6936,plain,
    ( sk_c2 = multiply(sk_c11,inverse(sk_c3))
    | spl0_2 ),
    inference(superposition,[],[f1584,f6306]) ).

fof(f6940,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f6306]) ).

fof(f6306,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f34,f84,f25,f55,f15,f6304,f35,f6305,f45]) ).

fof(f6928,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c11,multiply(sk_c10,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f6304]) ).

fof(f6924,plain,
    ( sk_c11 = multiply(sk_c12,inverse(sk_c10))
    | spl0_2 ),
    inference(superposition,[],[f1584,f6304]) ).

fof(f6304,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f34,f45,f35,f84,f25,f55,f15]) ).

fof(f84,plain,
    ( sk_c12 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl0_2
  <=> sk_c12 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f6305,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f34,f45,f84,f25,f55,f15,f6304,f35]) ).

fof(f6307,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34]) ).

fof(f6310,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14]) ).

fof(f6313,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40]) ).

fof(f6314,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43]) ).

fof(f6315,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42]) ).

fof(f6316,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41]) ).

fof(f6322,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23]) ).

fof(f6323,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20]) ).

fof(f6326,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22]) ).

fof(f6327,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21]) ).

fof(f30,axiom,
    ( sk_c12 = inverse(sk_c1)
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f33,axiom,
    ( sk_c12 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f6325,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51]) ).

fof(f6324,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52]) ).

fof(f6321,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50]) ).

fof(f6320,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53]) ).

fof(f6308,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f84,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44]) ).

fof(f65,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).

fof(f951,plain,
    identity = inverse(identity),
    inference(superposition,[],[f933,f814]) ).

fof(f954,plain,
    identity = inverse(identity),
    inference(superposition,[],[f814,f933]) ).

fof(f1004,plain,
    identity = inverse(identity),
    inference(superposition,[],[f983,f2]) ).

fof(f1014,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f983]) ).

fof(f1089,plain,
    identity = inverse(identity),
    inference(superposition,[],[f982,f1]) ).

fof(f1093,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f982]) ).

fof(f2295,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1015,f999]) ).

fof(f1015,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f933,f983]) ).

fof(f2296,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1005,f999]) ).

fof(f1005,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f983,f933]) ).

fof(f1412,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1255,f2]) ).

fof(f1255,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1092,f114]) ).

fof(f1413,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1256,f982]) ).

fof(f1256,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1092,f984]) ).

fof(f1425,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1267,f2]) ).

fof(f1267,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f114,f1092]) ).

fof(f1426,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1268,f982]) ).

fof(f1268,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f984,f1092]) ).

fof(f1527,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1466,f982]) ).

fof(f1466,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1460,f1]) ).

fof(f2053,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1999,f982]) ).

fof(f1999,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1588,f814]) ).

fof(f2251,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1998,f2]) ).

fof(f1998,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1588,f983]) ).

fof(f21,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f22,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f51,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

fof(f52,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f20,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f50,axiom,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f53,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f31,axiom,
    ( sk_c12 = inverse(sk_c1)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f24,axiom,
    ( sk_c12 = inverse(sk_c1)
    | sk_c11 = multiply(sk_c4,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f41,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f42,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f43,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f40,axiom,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f14,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f44,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f34,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f45,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f35,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f15,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f55,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c12 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f25,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f813,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f114,f1]) ).

fof(f1150,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f984,f1]) ).

fof(f1154,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f984]) ).

fof(f1886,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1464,f2]) ).

fof(f2252,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1894,f999]) ).

fof(f1894,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1464,f982]) ).

fof(f2254,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2253,f999]) ).

fof(f2253,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1893,f1460]) ).

fof(f1893,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f1464,f1092]) ).

fof(f2255,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1887,f999]) ).

fof(f1887,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1464,f933]) ).

fof(f2269,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2268,f999]) ).

fof(f2268,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f1468,f999]) ).

fof(f1468,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1460,f933]) ).

fof(f2270,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1467,f999]) ).

fof(f1467,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1460,f2]) ).

fof(f1676,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1584,f983]) ).

fof(f2095,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2094,f999]) ).

fof(f2094,plain,
    ! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
    inference(forward_demodulation,[],[f2014,f1460]) ).

fof(f2014,plain,
    ! [X0,X1] : multiply(inverse(identity),X0) = inverse(multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1588,f1092]) ).

fof(f2097,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2015,f999]) ).

fof(f2015,plain,
    ! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
    inference(superposition,[],[f1588,f982]) ).

fof(f2175,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1946,f982]) ).

fof(f2223,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2179,f999]) ).

fof(f2179,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(superposition,[],[f1946,f2]) ).

fof(f2226,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2225,f999]) ).

fof(f2225,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f2180,f999]) ).

fof(f2180,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(inverse(inverse(X0))))) = X0,
    inference(superposition,[],[f1946,f933]) ).

fof(f2258,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1677,f999]) ).

fof(f1677,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1584,f814]) ).

fof(f1842,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1714,f983]) ).

fof(f1848,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f983,f1714]) ).

fof(f1489,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1460,f982]) ).

fof(f2262,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1488,f1460]) ).

fof(f1488,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1460,f1092]) ).

fof(f1991,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(X0)),
    inference(superposition,[],[f1588,f2]) ).

fof(f2047,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(X0)),
    inference(forward_demodulation,[],[f1992,f999]) ).

fof(f1992,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(inverse(inverse(X0)))),
    inference(superposition,[],[f1588,f933]) ).

fof(f1205,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1092,f2]) ).

fof(f1227,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f1092,f982]) ).

fof(f2281,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1206,f999]) ).

fof(f1206,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1092,f933]) ).

fof(f59,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).

fof(f57,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c11 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).

fof(f17,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f47,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f49,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f56,axiom,
    ( sk_c3 = inverse(sk_c2)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).

fof(f58,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c12 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f67,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).

fof(f69,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).

fof(f16,axiom,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f18,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c12 = multiply(sk_c11,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f46,axiom,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f48,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c11 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f66,axiom,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).

fof(f68,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c11 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).

fof(f1340,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f1226,f3]) ).

fof(f1226,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f1092,f1092]) ).

fof(f2198,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1714,f1946]) ).

fof(f2196,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1946]) ).

fof(f2192,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1584,f1946]) ).

fof(f2186,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1946,f3]) ).

fof(f1946,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1895,f999]) ).

fof(f1895,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1464,f1460]) ).

fof(f2045,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1714,f1588]) ).

fof(f2043,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1588]) ).

fof(f2039,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1584,f1588]) ).

fof(f2013,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1588,f984]) ).

fof(f2012,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1588,f114]) ).

fof(f1997,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1588,f3]) ).

fof(f1588,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1490,f999]) ).

fof(f1490,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1460,f1460]) ).

fof(f1920,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1464]) ).

fof(f1919,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f984,f1464]) ).

fof(f1917,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1464]) ).

fof(f1916,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f114,f1464]) ).

fof(f1915,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f1092,f1464]) ).

fof(f1914,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1460,f1464]) ).

fof(f1901,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1464,f3]) ).

fof(f1896,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1464,f1464]) ).

fof(f1464,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1280,f983]) ).

fof(f1280,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f984,f1092]) ).

fof(f1846,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1714]) ).

fof(f1845,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f114,f1714]) ).

fof(f1844,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1092,f1714]) ).

fof(f1843,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1460,f1714]) ).

fof(f1840,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1714,f3]) ).

fof(f1714,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1584,f999]) ).

fof(f1724,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1584]) ).

fof(f1723,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f114,f1584]) ).

fof(f1722,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f1092,f1584]) ).

fof(f1721,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1460,f1584]) ).

fof(f1691,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1584,f984]) ).

fof(f1675,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1584,f3]) ).

fof(f1584,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1486,f999]) ).

fof(f1486,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1460,f114]) ).

fof(f1526,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1460]) ).

fof(f1525,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f984,f1460]) ).

fof(f1523,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1460]) ).

fof(f1522,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f114,f1460]) ).

fof(f1668,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1521,f999]) ).

fof(f1521,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f1092,f1460]) ).

fof(f1511,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1460,f3]) ).

fof(f1487,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1460,f984]) ).

fof(f1471,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1460,f3]) ).

fof(f1460,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1277,f983]) ).

fof(f1277,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f114,f1092]) ).

fof(f1465,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1281,f3]) ).

fof(f1281,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1092]) ).

fof(f1462,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1461,f3]) ).

fof(f1461,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1278,f1]) ).

fof(f1278,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f1092]) ).

fof(f1417,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1260,f3]) ).

fof(f1260,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1092,f3]) ).

fof(f1248,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1092,f3]) ).

fof(f1209,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1092,f3]) ).

fof(f1092,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f982,f3]) ).

fof(f1164,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f984]) ).

fof(f1153,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f984,f3]) ).

fof(f984,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f829,f114]) ).

fof(f1104,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f982]) ).

fof(f1134,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1102,f1]) ).

fof(f1102,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f982]) ).

fof(f982,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f829,f2]) ).

fof(f1050,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f999]) ).

fof(f1049,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f114,f999]) ).

fof(f999,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f983,f814]) ).

fof(f1037,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1025,f983]) ).

fof(f1025,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f829,f983]) ).

fof(f1009,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f814,f983]) ).

fof(f1030,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1007,f983]) ).

fof(f1007,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f983,f829]) ).

fof(f983,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f829,f814]) ).

fof(f990,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f114,f829]) ).

fof(f989,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f814,f829]) ).

fof(f987,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f114,f829]) ).

fof(f986,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f829]) ).

fof(f829,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f114,f114]) ).

fof(f974,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f953,f1]) ).

fof(f953,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f933]) ).

fof(f952,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f114,f933]) ).

fof(f933,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f114,f814]) ).

fof(f944,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f934,f1]) ).

fof(f934,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f814]) ).

fof(f814,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f114,f2]) ).

fof(f816,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f114,f3]) ).

fof(f114,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f7,axiom,
    ( sk_c11 = inverse(sk_c5)
    | inverse(sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c6)
    | inverse(sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f11,axiom,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c7)
    | inverse(sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f29,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f4,axiom,
    ( inverse(sk_c12) = sk_c11
    | sk_c11 = multiply(sk_c4,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f8,axiom,
    ( inverse(sk_c12) = sk_c11
    | sk_c12 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f10,axiom,
    ( inverse(sk_c12) = sk_c11
    | sk_c12 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f13,axiom,
    ( inverse(sk_c12) = sk_c11
    | sk_c7 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f26,axiom,
    ( sk_c12 = inverse(sk_c1)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f28,axiom,
    ( sk_c12 = inverse(sk_c1)
    | sk_c12 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f37,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f36,axiom,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f38,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c12 = multiply(sk_c1,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f77,plain,
    ! [X3,X10,X8,X6,X7,X4] :
      ( sk_c12 != inverse(X3)
      | sk_c11 != inverse(X7)
      | sk_c12 != inverse(X6)
      | inverse(sk_c12) != sk_c11
      | inverse(X8) != inverse(inverse(X10))
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != multiply(sk_c11,sk_c10)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c12 != multiply(inverse(X8),sk_c11)
      | sk_c11 != multiply(inverse(X4),sk_c12)
      | sk_c12 != multiply(X3,sk_c11)
      | sk_c11 != multiply(X4,inverse(X4))
      | sk_c12 != multiply(X8,inverse(X8))
      | inverse(X10) != multiply(X10,inverse(X8)) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( sk_c12 != inverse(X3)
      | sk_c11 != inverse(X7)
      | sk_c12 != inverse(X6)
      | inverse(sk_c12) != sk_c11
      | inverse(X4) != X5
      | inverse(X8) != inverse(inverse(X10))
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != multiply(sk_c11,sk_c10)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c12 != multiply(inverse(X8),sk_c11)
      | sk_c11 != multiply(X5,sk_c12)
      | sk_c12 != multiply(X3,sk_c11)
      | sk_c11 != multiply(X4,X5)
      | sk_c12 != multiply(X8,inverse(X8))
      | inverse(X10) != multiply(X10,inverse(X8)) ),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X3,X10,X11,X8,X6,X7,X4,X5] :
      ( sk_c12 != inverse(X3)
      | sk_c11 != inverse(X7)
      | sk_c12 != inverse(X6)
      | inverse(sk_c12) != sk_c11
      | inverse(X10) != X11
      | inverse(X4) != X5
      | inverse(X8) != inverse(X11)
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != multiply(sk_c11,sk_c10)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c12 != multiply(inverse(X8),sk_c11)
      | sk_c11 != multiply(X5,sk_c12)
      | sk_c12 != multiply(X3,sk_c11)
      | sk_c11 != multiply(X4,X5)
      | sk_c12 != multiply(X8,inverse(X8))
      | multiply(X10,inverse(X8)) != X11 ),
    inference(equality_resolution,[],[f74]) ).

fof(f74,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c12 != inverse(X3)
      | sk_c11 != inverse(X7)
      | sk_c12 != inverse(X6)
      | inverse(sk_c12) != sk_c11
      | inverse(X8) != X9
      | inverse(X10) != X11
      | inverse(X4) != X5
      | inverse(X11) != X9
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != multiply(sk_c11,sk_c10)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c11 != multiply(X5,sk_c12)
      | sk_c12 != multiply(X3,sk_c11)
      | sk_c11 != multiply(X4,X5)
      | sk_c12 != multiply(X8,X9)
      | multiply(X10,X9) != X11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).

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

fof(f5,axiom,
    ( sk_c12 = inverse(sk_c4)
    | inverse(sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

fof(f2372,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f2370]) ).

fof(f2370,plain,
    ( spl0_9
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f7055,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7054]) ).

fof(f7054,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f6822,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72,f7047,f73,f7048,f70,f7049,f2548]) ).

fof(f6822,plain,
    ( sk_c2 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(superposition,[],[f999,f2372]) ).

fof(f7053,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7052]) ).

fof(f7052,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f61,f62,f60,f63,f6994,f54,f6939,f7044,f64,f7045,f71,f7046,f72,f7047,f73,f7048,f70,f7049,f2548]) ).

fof(f7036,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7035]) ).

fof(f7035,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7034,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511,f2510,f2444,f2436]) ).

fof(f2436,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f61,f2371]) ).

fof(f2444,plain,
    ( sk_c8 = inverse(sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f999,f2436]) ).

fof(f2510,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f62,f2371]) ).

fof(f2511,plain,
    ( sk_c9 = sk_c8
    | spl0_9 ),
    inference(superposition,[],[f2510,f2444]) ).

fof(f2524,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c9)),X0)
    | spl0_9 ),
    inference(superposition,[],[f1946,f2510]) ).

fof(f2523,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c9),sk_c7) = X0
    | spl0_9 ),
    inference(superposition,[],[f1714,f2510]) ).

fof(f2522,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c9) = X0
    | spl0_9 ),
    inference(superposition,[],[f1584,f2510]) ).

fof(f2521,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | spl0_9 ),
    inference(superposition,[],[f1464,f2510]) ).

fof(f2519,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f984,f2510]) ).

fof(f2518,plain,
    ( identity = multiply(sk_c7,sk_c9)
    | spl0_9 ),
    inference(superposition,[],[f982,f2510]) ).

fof(f2528,plain,
    ( identity = multiply(sk_c9,sk_c7)
    | spl0_9 ),
    inference(forward_demodulation,[],[f2517,f999]) ).

fof(f2517,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f933,f2510]) ).

fof(f2514,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f114,f2510]) ).

fof(f2513,plain,
    ( identity = multiply(sk_c9,sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f2,f2510]) ).

fof(f2512,plain,
    ( sk_c9 = sk_c8
    | spl0_9 ),
    inference(superposition,[],[f2444,f2510]) ).

fof(f2509,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | spl0_9 ),
    inference(forward_demodulation,[],[f2500,f1]) ).

fof(f2500,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f2442]) ).

fof(f2442,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f982,f2436]) ).

fof(f2478,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | spl0_9 ),
    inference(forward_demodulation,[],[f2469,f1]) ).

fof(f2469,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f2437]) ).

fof(f2437,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(superposition,[],[f2,f2436]) ).

fof(f2461,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | spl0_9 ),
    inference(superposition,[],[f1946,f2444]) ).

fof(f2460,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | spl0_9 ),
    inference(superposition,[],[f1714,f2444]) ).

fof(f2459,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | spl0_9 ),
    inference(superposition,[],[f1584,f2444]) ).

fof(f2458,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | spl0_9 ),
    inference(superposition,[],[f1464,f2444]) ).

fof(f2456,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f984,f2444]) ).

fof(f2455,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(superposition,[],[f982,f2444]) ).

fof(f2463,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_9 ),
    inference(forward_demodulation,[],[f2454,f999]) ).

fof(f2454,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f933,f2444]) ).

fof(f2451,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f114,f2444]) ).

fof(f2450,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f2,f2444]) ).

fof(f2448,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | spl0_9 ),
    inference(superposition,[],[f1946,f2436]) ).

fof(f2447,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | spl0_9 ),
    inference(superposition,[],[f1714,f2436]) ).

fof(f2446,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | spl0_9 ),
    inference(superposition,[],[f1584,f2436]) ).

fof(f2445,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | spl0_9 ),
    inference(superposition,[],[f1464,f2436]) ).

fof(f2443,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f984,f2436]) ).

fof(f2449,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(forward_demodulation,[],[f2441,f999]) ).

fof(f2441,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | spl0_9 ),
    inference(superposition,[],[f933,f2436]) ).

fof(f2440,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | spl0_9 ),
    inference(superposition,[],[f829,f2436]) ).

fof(f2439,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | spl0_9 ),
    inference(superposition,[],[f814,f2436]) ).

fof(f2438,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | spl0_9 ),
    inference(superposition,[],[f114,f2436]) ).

fof(f2371,plain,
    ( sk_c3 != inverse(sk_c2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f2370]) ).

fof(f7034,plain,
    ( sk_c11 != sk_c3
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2371,f6945]) ).

fof(f6945,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6944,f2549]) ).

fof(f2549,plain,
    ( sk_c11 = multiply(sk_c3,sk_c12)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2547]) ).

fof(f6944,plain,
    ( inverse(sk_c2) = multiply(sk_c3,sk_c12)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f6937,f1039]) ).

fof(f1039,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f999,f81]) ).

fof(f81,plain,
    ( inverse(sk_c12) = sk_c11
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_1
  <=> inverse(sk_c12) = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f6937,plain,
    ( inverse(sk_c2) = multiply(sk_c3,inverse(sk_c11))
    | spl0_2 ),
    inference(superposition,[],[f1460,f6306]) ).

fof(f7033,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7032]) ).

fof(f7032,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511,f2510,f2444,f2436]) ).

fof(f7031,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7030]) ).

fof(f7030,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f2526,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511,f2510,f2444]) ).

fof(f2526,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2525,f983]) ).

fof(f2525,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2515,f2381]) ).

fof(f2381,plain,
    ( sk_c6 = inverse(sk_c9)
    | ~ spl0_8 ),
    inference(superposition,[],[f999,f2368]) ).

fof(f2368,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f2366]) ).

fof(f2366,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2515,plain,
    ( sk_c7 = multiply(inverse(sk_c9),identity)
    | spl0_9 ),
    inference(superposition,[],[f814,f2510]) ).

fof(f7029,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7028]) ).

fof(f7028,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511,f2510,f2444]) ).

fof(f7027,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7026]) ).

fof(f7026,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511,f2510]) ).

fof(f7025,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7024]) ).

fof(f7024,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936,f2511]) ).

fof(f7023,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7022]) ).

fof(f7022,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f7021,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7021,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2537,f2381]) ).

fof(f2537,plain,
    ( sk_c7 = inverse(sk_c9)
    | spl0_9 ),
    inference(superposition,[],[f2436,f2511]) ).

fof(f7020,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7019]) ).

fof(f7019,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f7018,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7018,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2520,f2381]) ).

fof(f2520,plain,
    ( sk_c7 = inverse(sk_c9)
    | spl0_9 ),
    inference(superposition,[],[f999,f2510]) ).

fof(f7017,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f7016]) ).

fof(f7016,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f3003,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f3003,plain,
    ( identity = sk_c12
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f3002,f2379]) ).

fof(f2379,plain,
    ( identity = multiply(sk_c6,sk_c9)
    | ~ spl0_8 ),
    inference(superposition,[],[f982,f2368]) ).

fof(f3002,plain,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f58,f2371]) ).

fof(f7015,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7014]) ).

fof(f7014,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7013,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7013,plain,
    ( sk_c11 = sk_c3
    | inverse(sk_c8) = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f61,f6945]) ).

fof(f7012,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7011]) ).

fof(f7011,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7010,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7010,plain,
    ( sk_c11 = sk_c3
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f62,f6945]) ).

fof(f7009,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7008]) ).

fof(f7008,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7007,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7007,plain,
    ( sk_c11 = sk_c3
    | identity = sk_c10
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4576,f6945]) ).

fof(f4576,plain,
    ( identity = sk_c10
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4575,f1084]) ).

fof(f1084,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f982,f81]) ).

fof(f4575,plain,
    ( sk_c10 = multiply(sk_c12,sk_c11)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f56,f2363]) ).

fof(f2363,plain,
    ( sk_c12 = sk_c5
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2325,f1039]) ).

fof(f2325,plain,
    ( sk_c5 = inverse(sk_c11)
    | ~ spl0_4 ),
    inference(superposition,[],[f999,f396]) ).

fof(f396,plain,
    ( sk_c11 = inverse(sk_c5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_4
  <=> sk_c11 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f7006,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7005]) ).

fof(f7005,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7004,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7004,plain,
    ( sk_c11 = sk_c3
    | identity = sk_c12
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4578,f6945]) ).

fof(f4578,plain,
    ( identity = sk_c12
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f58,f2379]) ).

fof(f7003,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f7002]) ).

fof(f7002,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f7001,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f7001,plain,
    ( sk_c11 = sk_c3
    | sk_c12 = multiply(sk_c9,sk_c11)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f60,f6945]) ).

fof(f7000,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f6999]) ).

fof(f6999,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f6998,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f6998,plain,
    ( sk_c11 = sk_c3
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f63,f6945]) ).

fof(f6997,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f6996]) ).

fof(f6996,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f6995,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f6995,plain,
    ( sk_c11 = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6994,f6945]) ).

fof(f6993,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f6992]) ).

fof(f6992,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f6991,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f6991,plain,
    ( sk_c11 = sk_c3
    | sk_c11 = multiply(sk_c4,sk_c12)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f54,f6945]) ).

fof(f6990,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f6989]) ).

fof(f6989,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f6941,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f6941,plain,
    ( multiply(sk_c12,sk_c2) = inverse(sk_c3)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f6935,f1039]) ).

fof(f6935,plain,
    ( inverse(sk_c3) = multiply(inverse(sk_c11),sk_c2)
    | spl0_2 ),
    inference(superposition,[],[f1588,f6306]) ).

fof(f6988,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f6987]) ).

fof(f6987,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940,f6936]) ).

fof(f6986,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f6985]) ).

fof(f6985,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f6984,f1,f2,f5,f3,f77,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f68,f66,f48,f46,f18,f16,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f2371,f2436,f2438,f2439,f2440,f2449,f2443,f2445,f2446,f2447,f2448,f2444,f2450,f2451,f2463,f2455,f2456,f2458,f2459,f2460,f2461,f2437,f2478,f2442,f2509,f2510,f2512,f2513,f2514,f2528,f2518,f2519,f2521,f2522,f2523,f2524,f2511,f61,f62,f60,f63,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f70,f73,f72,f71,f64,f65,f6308,f6320,f6321,f6324,f6325,f33,f30,f6327,f6326,f6323,f6322,f6316,f6315,f6314,f6313,f6310,f6307,f6305,f84,f6304,f6924,f6928,f6306,f6940]) ).

fof(f6984,plain,
    ( sk_c3 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6939,f6945]) ).

fof(f6983,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6982]) ).

fof(f6982,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f6981,f2552]) ).

fof(f2552,plain,
    ( identity != sk_c11
    | spl0_11 ),
    inference(avatar_component_clause,[],[f2551]) ).

fof(f2551,plain,
    ( spl0_11
  <=> identity = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f6981,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6979,f371]) ).

fof(f371,plain,
    ( identity = multiply(sk_c11,sk_c12)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f81]) ).

fof(f6979,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2549,f6949]) ).

fof(f6949,plain,
    ( sk_c11 = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f6945,f2372]) ).

fof(f6798,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6797]) ).

fof(f6797,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6788,f2553]) ).

fof(f2553,plain,
    ( identity = sk_c11
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f2551]) ).

fof(f6788,plain,
    ( identity != sk_c11
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f6666,f396]) ).

fof(f6666,plain,
    ( ! [X0] : identity != inverse(X0)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f2240,f5922,f5923,f5924,f6049,f6051,f6053,f6079,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f35,f45,f34,f44,f54,f14,f40,f43,f42,f41,f24,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f5978,f6042,f6655,f6035,f6034,f6656,f6033,f6657,f6658,f6077,f6660,f6661,f6022,f6020,f6018,f5928,f6665]) ).

fof(f6665,plain,
    ( ! [X0] :
        ( identity != inverse(identity)
        | identity != inverse(X0) )
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f6664,f1]) ).

fof(f6664,plain,
    ( ! [X0] :
        ( identity != inverse(identity)
        | identity != multiply(identity,identity)
        | identity != inverse(X0) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f5928]) ).

fof(f5928,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(identity)
        | identity != multiply(inverse(X0),identity)
        | identity != inverse(X0) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1]) ).

fof(f6018,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != X0 )
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f6017,f1]) ).

fof(f6017,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(identity,identity)
        | identity != X0 )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f5922]) ).

fof(f6020,plain,
    ( ! [X0,X1] :
        ( identity != X0
        | inverse(X0) != inverse(X1)
        | inverse(multiply(X1,X0)) != X0 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6019,f983]) ).

fof(f6019,plain,
    ( ! [X0,X1] :
        ( inverse(X0) != inverse(X1)
        | identity != multiply(X0,identity)
        | inverse(multiply(X1,X0)) != X0 )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f5923]) ).

fof(f6022,plain,
    ( ! [X0,X1] :
        ( identity != X0
        | inverse(X0) != X1
        | inverse(multiply(inverse(X1),X0)) != X0 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6021,f983]) ).

fof(f6021,plain,
    ( ! [X0,X1] :
        ( inverse(X0) != X1
        | identity != multiply(X0,identity)
        | inverse(multiply(inverse(X1),X0)) != X0 )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f5924]) ).

fof(f6661,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,X1)
        | identity != inverse(X1)
        | inverse(identity) != X0 )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6660]) ).

fof(f6660,plain,
    ( ! [X0,X1] :
        ( multiply(X0,X1) != inverse(X1)
        | identity != inverse(X1)
        | inverse(inverse(X1)) != X0 )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6077]) ).

fof(f6077,plain,
    ( ! [X0,X1] :
        ( multiply(X0,X1) != inverse(X1)
        | identity != inverse(X1)
        | inverse(multiply(X0,X1)) != X0 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6076,f999]) ).

fof(f6076,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(multiply(X0,X1)) != X0
        | inverse(X1) != multiply(X0,inverse(inverse(X1))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6075,f983]) ).

fof(f6075,plain,
    ( ! [X0,X1] :
        ( inverse(multiply(X0,X1)) != X0
        | identity != multiply(inverse(X1),identity)
        | inverse(X1) != multiply(X0,inverse(inverse(X1))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5937,f999]) ).

fof(f5937,plain,
    ( ! [X0,X1] :
        ( inverse(multiply(X0,inverse(inverse(X1)))) != X0
        | identity != multiply(inverse(X1),identity)
        | inverse(X1) != multiply(X0,inverse(inverse(X1))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1714]) ).

fof(f6658,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(identity) != X0
        | identity != multiply(X0,X1) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6657]) ).

fof(f6657,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(multiply(X0,X1)) != X0
        | identity != multiply(X0,X1) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6033]) ).

fof(f6033,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(multiply(X0,X1)) != X0
        | multiply(X0,X1) != inverse(X1) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5927,f983]) ).

fof(f5927,plain,
    ( ! [X0,X1] :
        ( inverse(multiply(X0,X1)) != X0
        | identity != multiply(inverse(X1),identity)
        | multiply(X0,X1) != inverse(X1) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1584]) ).

fof(f6656,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(identity) != X0
        | identity != multiply(X0,X1) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6034]) ).

fof(f6034,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(multiply(X0,X1)) != X0
        | identity != multiply(X0,X1) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6033]) ).

fof(f6035,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X1)
        | inverse(identity) != X0
        | identity != multiply(X0,X1) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6034]) ).

fof(f6655,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | identity != X0
        | identity != multiply(X0,identity) )
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6042]) ).

fof(f6042,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | identity != inverse(X0)
        | identity != multiply(inverse(X0),identity) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6041,f999]) ).

fof(f6041,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(inverse(X0)) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5929,f999]) ).

fof(f5929,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(inverse(X0)))
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(inverse(X0)) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f2]) ).

fof(f5978,plain,
    ( ! [X0,X1] :
        ( identity != X0
        | inverse(X1) != multiply(X1,X0)
        | inverse(inverse(X0)) != X1 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5977,f983]) ).

fof(f5977,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,identity)
        | inverse(X1) != multiply(X1,X0)
        | inverse(inverse(X0)) != X1 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5914,f999]) ).

fof(f5914,plain,
    ( ! [X0,X1] :
        ( inverse(X1) != multiply(X1,X0)
        | identity != multiply(inverse(inverse(X0)),identity)
        | inverse(inverse(X0)) != X1 )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f999]) ).

fof(f6079,plain,
    ( ! [X2,X0,X1] :
        ( identity != inverse(X2)
        | inverse(multiply(X0,X1)) != multiply(X0,multiply(X1,inverse(X2)))
        | multiply(X0,X1) != inverse(X2) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5938,f983]) ).

fof(f5938,plain,
    ( ! [X2,X0,X1] :
        ( inverse(multiply(X0,X1)) != multiply(X0,multiply(X1,inverse(X2)))
        | identity != multiply(inverse(X2),identity)
        | multiply(X0,X1) != inverse(X2) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f3]) ).

fof(f6053,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X0)
        | inverse(inverse(multiply(inverse(X0),inverse(X1)))) != X1
        | inverse(X0) != inverse(multiply(inverse(X0),inverse(X1))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5932,f983]) ).

fof(f5932,plain,
    ( ! [X0,X1] :
        ( inverse(inverse(multiply(inverse(X0),inverse(X1)))) != X1
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(multiply(inverse(X0),inverse(X1))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1946]) ).

fof(f6051,plain,
    ( ! [X0,X1] :
        ( identity != inverse(X0)
        | inverse(X1) != inverse(inverse(multiply(inverse(X0),X1)))
        | inverse(X0) != inverse(multiply(inverse(X0),X1)) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5931,f983]) ).

fof(f5931,plain,
    ( ! [X0,X1] :
        ( inverse(X1) != inverse(inverse(multiply(inverse(X0),X1)))
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(multiply(inverse(X0),X1)) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1588]) ).

fof(f6049,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | identity != inverse(X0) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6048,f999]) ).

fof(f6048,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(inverse(X0))
        | identity != inverse(X0) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6047,f999]) ).

fof(f6047,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f6046]) ).

fof(f6046,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != inverse(X0)
        | inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6045,f983]) ).

fof(f6045,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6044,f999]) ).

fof(f6044,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(inverse(X0)))
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5930,f999]) ).

fof(f5930,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(inverse(inverse(inverse(X0)))))
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f933]) ).

fof(f5924,plain,
    ( ! [X0,X1] :
        ( inverse(X0) != X1
        | identity != multiply(inverse(multiply(inverse(X1),X0)),identity)
        | inverse(multiply(inverse(X1),X0)) != X0 )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1464]) ).

fof(f5923,plain,
    ( ! [X0,X1] :
        ( inverse(X0) != inverse(X1)
        | identity != multiply(inverse(multiply(X1,X0)),identity)
        | inverse(multiply(X1,X0)) != X0 )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f1460]) ).

fof(f5922,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity)
        | inverse(X0) != X0 )
    | ~ spl0_6 ),
    inference(superposition,[],[f2240,f982]) ).

fof(f2240,plain,
    ( ! [X10,X8] :
        ( inverse(X10) != multiply(X10,inverse(X8))
        | identity != multiply(inverse(X8),identity)
        | inverse(X8) != X10 )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f2239]) ).

fof(f2239,plain,
    ( spl0_6
  <=> ! [X8,X10] :
        ( identity != multiply(inverse(X8),identity)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != X10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f6796,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6795]) ).

fof(f6795,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6787,f6461]) ).

fof(f6461,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6460,f1]) ).

fof(f6460,plain,
    ( sk_c12 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6459,f6361]) ).

fof(f6361,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6332,f2553]) ).

fof(f6332,plain,
    ( sk_c11 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1042,f81]) ).

fof(f1042,plain,
    ( inverse(sk_c12) = sk_c1
    | ~ spl0_3 ),
    inference(superposition,[],[f999,f392]) ).

fof(f392,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_3
  <=> sk_c12 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f6459,plain,
    ( sk_c12 = multiply(sk_c1,identity)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6305,f2553]) ).

fof(f6787,plain,
    ( identity != sk_c12
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f6666,f1039]) ).

fof(f6794,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6793]) ).

fof(f6793,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6786,f2553]) ).

fof(f6786,plain,
    ( identity != sk_c11
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f6666,f81]) ).

fof(f6792,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6791]) ).

fof(f6791,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f6774]) ).

fof(f6774,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f6666,f4801]) ).

fof(f4801,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3485,f3498]) ).

fof(f3498,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3488,f2]) ).

fof(f3488,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f814,f3485]) ).

fof(f3485,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2372,f2924]) ).

fof(f2924,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2919,f1]) ).

fof(f2919,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f2563,f2553]) ).

fof(f2563,plain,
    ( sk_c3 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2556,f81]) ).

fof(f2556,plain,
    ( sk_c3 = multiply(sk_c11,inverse(sk_c12))
    | ~ spl0_10 ),
    inference(superposition,[],[f1584,f2549]) ).

fof(f6641,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6640]) ).

fof(f6640,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619,f6620,f6621,f6622,f6623,f6624,f6625,f6626,f6629,f6630,f6639]) ).

fof(f6639,plain,
    ( identity != multiply(sk_c3,sk_c12)
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2548,f2553]) ).

fof(f6630,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619,f6620,f6621,f6622,f6623,f6624,f6625,f6626,f6629]) ).

fof(f6629,plain,
    ( sk_c12 = sk_c9
    | identity = multiply(sk_c3,sk_c12)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6628,f983]) ).

fof(f6628,plain,
    ( sk_c12 = multiply(sk_c9,identity)
    | identity = multiply(sk_c3,sk_c12)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6627,f2553]) ).

fof(f6627,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | sk_c12 = multiply(sk_c9,sk_c11)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f70,f2553]) ).

fof(f6626,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619,f6620,f6621,f6622,f6623,f6624,f6625]) ).

fof(f6625,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f73,f2553]) ).

fof(f6624,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619,f6620,f6621,f6622,f6623]) ).

fof(f6623,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f72,f2553]) ).

fof(f6622,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619,f6620,f6621]) ).

fof(f6621,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | inverse(sk_c8) = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f71,f2553]) ).

fof(f6620,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616,f6617,f6619]) ).

fof(f6619,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | identity = multiply(sk_c4,sk_c12)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6618,f2553]) ).

fof(f6618,plain,
    ( identity = multiply(sk_c4,sk_c12)
    | sk_c11 = multiply(sk_c3,sk_c12)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f64,f2553]) ).

fof(f6617,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f25,f55,f15,f6304,f35,f6305,f45,f6306,f34,f6307,f44,f6308,f54,f14,f6310,f40,f6313,f43,f6314,f42,f6315,f41,f6316,f24,f32,f31,f53,f6320,f50,f6321,f23,f6322,f20,f6323,f52,f6324,f51,f6325,f22,f6326,f21,f6327,f2553,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6510,f6508,f6608,f6609,f6500,f6498,f6610,f6611,f6472,f6612,f6613,f6452,f84,f6616]) ).

fof(f6616,plain,
    ( identity = multiply(sk_c3,sk_c12)
    | sk_c12 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f65,f2553]) ).

fof(f6452,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6304,f2553]) ).

fof(f6613,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6306,f2553]) ).

fof(f6612,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6308,f2553]) ).

fof(f6472,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6310,f2553]) ).

fof(f6611,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6320,f2553]) ).

fof(f6610,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6321,f2553]) ).

fof(f6498,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6322,f2553]) ).

fof(f6500,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6323,f2553]) ).

fof(f6609,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6324,f2553]) ).

fof(f6608,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6325,f2553]) ).

fof(f6508,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6326,f2553]) ).

fof(f6510,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6327,f2553]) ).

fof(f6597,plain,
    ( spl0_7
    | spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f6580,f2551,f2547,f83,f79,f2239,f2236,f2236,f2236,f2242]) ).

fof(f2242,plain,
    ( spl0_7
  <=> ! [X4] : identity != multiply(inverse(X4),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2236,plain,
    ( spl0_5
  <=> ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f6580,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6301,f6522]) ).

fof(f6522,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f6453,f1]) ).

fof(f6453,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6452,f2988]) ).

fof(f2988,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2987,f2]) ).

fof(f2987,plain,
    ( sk_c12 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2986,f2924]) ).

fof(f2986,plain,
    ( sk_c12 = multiply(inverse(sk_c3),identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2559,f2553]) ).

fof(f2559,plain,
    ( sk_c12 = multiply(inverse(sk_c3),sk_c11)
    | ~ spl0_10 ),
    inference(superposition,[],[f114,f2549]) ).

fof(f6301,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c10
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1827,f1491,f2263,f1340,f2288,f2289,f2291,f976,f928,f830,f825,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f1039,f2331,f2344,f2341,f59,f1084,f1715,f2340,f2911,f2912,f2916,f2917,f2923,f61,f62,f60,f63,f2828,f2821,f2797,f2790,f2826,f2795,f4730,f4731,f4735,f4736,f4742,f33,f30,f2825,f2817,f2816,f2794,f2786,f2785,f2008,f1906,f1514,f2827,f2796,f2342,f2170,f1686,f2339,f1881,f21,f22,f51,f52,f20,f23,f50,f53,f31,f32,f24,f41,f42,f43,f40,f14,f54,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1228,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f6279,f2248,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f6283,f2421,f6284,f6285,f1420,f1407,f2332,f44,f1138,f34,f45,f35,f15,f55,f25,f4853,f4734,f3128,f2915,f2553,f2292]) ).

fof(f2292,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c10
        | identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f2291]) ).

fof(f2915,plain,
    ( sk_c12 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1039,f2553]) ).

fof(f3128,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3127,f982]) ).

fof(f3127,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3126,f1]) ).

fof(f3126,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1881,f2553]) ).

fof(f4734,plain,
    ( sk_c12 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1039,f2553]) ).

fof(f4853,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4852,f982]) ).

fof(f4852,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4851,f1]) ).

fof(f4851,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1881,f2553]) ).

fof(f1138,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f984,f81]) ).

fof(f2332,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f1039]) ).

fof(f1407,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1251,f371]) ).

fof(f1251,plain,
    ( identity = inverse(multiply(sk_c11,sk_c12))
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f373]) ).

fof(f1420,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1263,f371]) ).

fof(f1263,plain,
    ( identity = inverse(multiply(sk_c11,sk_c12))
    | ~ spl0_1 ),
    inference(superposition,[],[f373,f1092]) ).

fof(f6285,plain,
    ( sk_c12 = multiply(inverse(identity),sk_c12)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2418,f1039]) ).

fof(f2418,plain,
    ( inverse(sk_c11) = multiply(inverse(identity),sk_c12)
    | ~ spl0_1 ),
    inference(superposition,[],[f1588,f1084]) ).

fof(f6284,plain,
    ( sk_c11 = multiply(sk_c11,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2420,f81]) ).

fof(f2420,plain,
    ( inverse(sk_c12) = multiply(sk_c11,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1460,f1084]) ).

fof(f2421,plain,
    ( identity = multiply(sk_c12,multiply(sk_c11,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f1084]) ).

fof(f6283,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2423,f1]) ).

fof(f2423,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c11,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1084]) ).

fof(f2248,plain,
    ( sk_c11 = multiply(inverse(identity),sk_c11)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2019,f81]) ).

fof(f2019,plain,
    ( inverse(sk_c12) = multiply(inverse(identity),sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f1588,f371]) ).

fof(f6279,plain,
    ( sk_c12 = multiply(sk_c12,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1491,f1039]) ).

fof(f1228,plain,
    ( identity = multiply(sk_c11,multiply(sk_c12,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f371]) ).

fof(f1881,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f81]) ).

fof(f2339,plain,
    ( ! [X0] : sk_c11 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f1039]) ).

fof(f1686,plain,
    ( ! [X0] : sk_c11 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1584,f373]) ).

fof(f2170,plain,
    ( ! [X0] : sk_c12 = multiply(inverse(multiply(X0,sk_c11)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1946,f81]) ).

fof(f2342,plain,
    ( ! [X0] : sk_c11 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1946,f1039]) ).

fof(f2796,plain,
    ( ! [X0] : sk_c11 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f1715]) ).

fof(f2827,plain,
    ( ! [X0] : sk_c12 = multiply(inverse(multiply(X0,sk_c11)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f2340]) ).

fof(f1514,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c12)) = multiply(sk_c11,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f373,f1460]) ).

fof(f1906,plain,
    ( ! [X0] : multiply(sk_c11,X0) = inverse(multiply(inverse(X0),sk_c12))
    | ~ spl0_1 ),
    inference(superposition,[],[f373,f1464]) ).

fof(f2008,plain,
    ( ! [X0] : inverse(multiply(sk_c12,X0)) = multiply(inverse(X0),sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f1588,f373]) ).

fof(f2785,plain,
    ( ! [X0] : inverse(multiply(sk_c12,X0)) = multiply(inverse(X0),sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f1715,f1588]) ).

fof(f2786,plain,
    ( ! [X0] : multiply(X0,sk_c11) = inverse(multiply(sk_c12,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1715,f1946]) ).

fof(f2794,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c12)) = multiply(sk_c11,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1460,f1715]) ).

fof(f2816,plain,
    ( ! [X0] : inverse(multiply(sk_c11,X0)) = multiply(inverse(X0),sk_c12)
    | ~ spl0_1 ),
    inference(superposition,[],[f2340,f1588]) ).

fof(f2817,plain,
    ( ! [X0] : multiply(X0,sk_c12) = inverse(multiply(sk_c11,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f2340,f1946]) ).

fof(f2825,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c11)) = multiply(sk_c12,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1460,f2340]) ).

fof(f4742,plain,
    ( ! [X0] : multiply(X0,sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4737,f983]) ).

fof(f4737,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f2340,f2553]) ).

fof(f4736,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),identity) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1715,f2553]) ).

fof(f4735,plain,
    ( identity = multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1084,f2553]) ).

fof(f4731,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c12,X0)) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f373,f2553]) ).

fof(f4730,plain,
    ( identity = multiply(identity,sk_c12)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f371,f2553]) ).

fof(f2795,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c12),multiply(sk_c11,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f1715]) ).

fof(f2826,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c11),multiply(sk_c12,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f2340]) ).

fof(f2790,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c12)),sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f1715,f3]) ).

fof(f2797,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c12),multiply(sk_c11,X1))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1715]) ).

fof(f2821,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c11)),sk_c12)
    | ~ spl0_1 ),
    inference(superposition,[],[f2340,f3]) ).

fof(f2828,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c11),multiply(sk_c12,X1))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f2340]) ).

fof(f2923,plain,
    ( ! [X0] : multiply(X0,sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2918,f983]) ).

fof(f2918,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f2340,f2553]) ).

fof(f2917,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),identity) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1715,f2553]) ).

fof(f2916,plain,
    ( identity = multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1084,f2553]) ).

fof(f2912,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c12,X0)) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f373,f2553]) ).

fof(f2911,plain,
    ( identity = multiply(identity,sk_c12)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f371,f2553]) ).

fof(f2340,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c11),sk_c12) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1584,f1039]) ).

fof(f1715,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),sk_c11) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1584,f81]) ).

fof(f2341,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),sk_c11) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1714,f1039]) ).

fof(f2344,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2335,f999]) ).

fof(f2335,plain,
    ( identity = multiply(inverse(inverse(sk_c12)),sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f933,f1039]) ).

fof(f2331,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f1039]) ).

fof(f825,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f373]) ).

fof(f830,plain,
    ( sk_c12 = multiply(inverse(sk_c11),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f371]) ).

fof(f928,plain,
    ( sk_c12 = multiply(inverse(sk_c11),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f814,f81]) ).

fof(f976,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f829,f81]) ).

fof(f2291,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c10
        | identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | sk_c10 != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2290,f1]) ).

fof(f2290,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | sk_c10 != multiply(X7,identity)
        | identity != multiply(identity,sk_c10)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f2289]) ).

fof(f2289,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | sk_c11 != inverse(X7)
        | identity != inverse(X6)
        | sk_c10 != multiply(X7,sk_c11)
        | identity != multiply(sk_c11,sk_c10)
        | sk_c11 != multiply(X6,identity)
        | identity != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),identity)
        | identity != multiply(X3,sk_c11)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f2288]) ).

fof(f2288,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | sk_c12 != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c12 != multiply(sk_c11,sk_c10)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2287,f982]) ).

fof(f2287,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c11
        | inverse(X8) != X10
        | sk_c12 != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c12 != multiply(sk_c11,sk_c10)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2286,f982]) ).

fof(f2286,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( inverse(X8) != X10
        | sk_c12 != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c12 != multiply(sk_c11,sk_c10)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1057,f999]) ).

fof(f1057,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c12 != multiply(sk_c11,sk_c10)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f77,f81]) ).

fof(f2263,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1482,f1584]) ).

fof(f1482,plain,
    ( ! [X0] : inverse(sk_c11) = multiply(multiply(sk_c12,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1460,f373]) ).

fof(f1491,plain,
    ( inverse(sk_c11) = multiply(sk_c12,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1460,f371]) ).

fof(f1827,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c11),sk_c12) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1714,f81]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f372,f1]) ).

fof(f372,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c12,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f371]) ).

fof(f6300,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f6299]) ).

fof(f6299,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45,f6292,f35,f6293,f15,f6294,f55,f6295,f25,f6296,f84]) ).

fof(f6296,plain,
    ( sk_c12 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45,f6292,f35,f6293,f15,f6294,f55,f6295,f25]) ).

fof(f6295,plain,
    ( sk_c12 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45,f6292,f35,f6293,f15,f6294,f55]) ).

fof(f6294,plain,
    ( sk_c12 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f65,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45,f6292,f35,f6293,f15]) ).

fof(f6293,plain,
    ( sk_c12 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f65,f15,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45,f6292,f35]) ).

fof(f6292,plain,
    ( sk_c12 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f35,f65,f15,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34,f6291,f45]) ).

fof(f6291,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f38,f36,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44,f6288,f34]) ).

fof(f6288,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f1340,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54,f6251,f2281,f1227,f1205,f2047,f1991,f2262,f1489,f1848,f1842,f2258,f2226,f2223,f2175,f2097,f2095,f1676,f2270,f2269,f2255,f2254,f2252,f1886,f1154,f1150,f813,f2251,f2053,f1527,f1426,f1425,f1413,f1412,f2296,f2295,f1093,f1089,f1014,f1004,f954,f951,f44]) ).

fof(f6251,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14,f6250,f54]) ).

fof(f6250,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40,f6228,f14]) ).

fof(f6228,plain,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43,f6227,f40]) ).

fof(f6227,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42,f6226,f43]) ).

fof(f6226,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41,f6225,f42]) ).

fof(f6225,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24,f6224,f41]) ).

fof(f6224,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32,f6223,f24]) ).

fof(f6223,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31,f6222,f32]) ).

fof(f6222,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53,f6221,f31]) ).

fof(f6221,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50,f6220,f53]) ).

fof(f6220,plain,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23,f6219,f50]) ).

fof(f6219,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20,f6218,f23]) ).

fof(f6218,plain,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f391,f21,f6214,f22,f6215,f51,f6216,f52,f6217,f20]) ).

fof(f6217,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f20,f391,f21,f6214,f22,f6215,f51,f6216,f52]) ).

fof(f6216,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f20,f52,f391,f21,f6214,f22,f6215,f51]) ).

fof(f6215,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f20,f52,f51,f391,f21,f6214,f22]) ).

fof(f6214,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_3 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f20,f52,f51,f22,f391,f21]) ).

fof(f391,plain,
    ( sk_c12 != inverse(sk_c1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f6209,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6208]) ).

fof(f6208,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51,f6190,f4608,f22,f6191,f21,f6192,f2342,f2170,f1740,f1686,f1685,f4611,f2339,f1881,f2304,f6195,f2292,f6196,f4604,f6199,f2552,f391]) ).

fof(f6199,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2552,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51,f6190,f4608,f22,f6191,f21,f6192,f2342,f2170,f1740,f1686,f1685,f4611,f2339,f1881,f2304,f6195,f2292,f6196,f4604]) ).

fof(f4604,plain,
    ( identity = sk_c11
    | sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4603,f371]) ).

fof(f4603,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f1000]) ).

fof(f6196,plain,
    ( identity != sk_c11
    | ~ spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f2292,f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f61,f62,f60,f63,f2552,f40,f43,f42,f41,f33,f30,f32,f31,f53,f50,f23,f20,f52,f51,f22,f21]) ).

fof(f6195,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2552,f4604,f2292,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51,f6190,f4608,f22,f6191,f21,f6192,f2342,f2170,f1740,f1686,f1685,f4611,f2339,f1881,f2304]) ).

fof(f2304,plain,
    ( identity = sk_c11
    | sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2303,f371]) ).

fof(f2303,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f44,f374]) ).

fof(f4611,plain,
    ( ! [X0] : sk_c11 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1883,f1000]) ).

fof(f1685,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f380]) ).

fof(f1740,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1684,f374]) ).

fof(f1684,plain,
    ( ! [X0] : sk_c12 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f117]) ).

fof(f6192,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2342,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51,f6190,f4608,f22,f6191,f21]) ).

fof(f6191,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2342,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51,f6190,f4608,f22]) ).

fof(f4608,plain,
    ( ! [X0] : sk_c11 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2172,f1000]) ).

fof(f6190,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52,f6189,f2827,f2796,f51]) ).

fof(f6189,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f4605,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20,f6188,f1516,f1514,f52]) ).

fof(f1516,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c11)) = multiply(sk_c12,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f1460]) ).

fof(f6188,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23,f6187,f2786,f2785,f2249,f2008,f2007,f4602,f3259,f1908,f1906,f20]) ).

fof(f1908,plain,
    ( ! [X0] : multiply(sk_c12,X0) = inverse(multiply(inverse(X0),sk_c11))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f1464]) ).

fof(f3259,plain,
    ( ! [X0] : multiply(sk_c12,X0) = inverse(multiply(inverse(X0),sk_c11))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1910,f1000]) ).

fof(f4602,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c11)) = multiply(sk_c12,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1518,f1000]) ).

fof(f2007,plain,
    ( ! [X0] : inverse(multiply(sk_c11,X0)) = multiply(inverse(X0),sk_c12)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f380]) ).

fof(f2249,plain,
    ( ! [X0] : inverse(multiply(sk_c11,X0)) = multiply(inverse(X0),sk_c12)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2006,f374]) ).

fof(f2006,plain,
    ( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c12)
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f117]) ).

fof(f6187,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50,f6186,f2825,f2817,f2816,f2794,f23]) ).

fof(f6186,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f2292,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53,f6185,f50]) ).

fof(f6185,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31,f6178,f53]) ).

fof(f6178,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32,f6177,f31]) ).

fof(f6177,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175,f6176,f32]) ).

fof(f6176,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41,f6170,f33,f30,f6175]) ).

fof(f6175,plain,
    ( identity = sk_c11
    | sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f6174,f371]) ).

fof(f6174,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f24,f1000]) ).

fof(f6170,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42,f6169,f41]) ).

fof(f6169,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43,f6168,f42]) ).

fof(f6168,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40,f6167,f43]) ).

fof(f6167,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724,f6161,f40]) ).

fof(f6161,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f2590,f2597,f2592,f2595,f2596,f1715,f2807,f2340,f61,f62,f21,f22,f4568,f4569,f4571,f4574,f60,f63,f23,f4588,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4605,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f2552,f4604,f50,f2292,f53,f2304,f52,f51,f724]) ).

fof(f724,plain,
    ( identity = sk_c11
    | sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f723,f371]) ).

fof(f723,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c12 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f34,f374]) ).

fof(f4605,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2796,f2807,f2340,f2827,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2304,f4574,f60,f63,f23,f53,f4588,f2292,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f50,f4597,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f4604]) ).

fof(f4597,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2785,f2786,f2794,f2796,f2807,f2340,f2816,f2817,f2825,f2827,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2304,f4574,f60,f63,f23,f53,f4588,f2292,f4589,f2828,f2821,f2797,f2790,f2826,f2795,f50]) ).

fof(f4589,plain,
    ( identity != sk_c11
    | ~ spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f2292,f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f50,f48,f46,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f2552,f61,f62,f21,f22,f51,f52,f60,f63,f23,f53]) ).

fof(f4588,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2292,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f50,f48,f46,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2304,f4574,f60,f63,f23,f53]) ).

fof(f4574,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2292,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f23,f20,f18,f16,f14,f72,f71,f69,f67,f63,f60,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2304]) ).

fof(f4571,plain,
    ( identity = sk_c11
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4570,f371]) ).

fof(f4570,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f54,f1000]) ).

fof(f4569,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2292,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f23,f20,f18,f16,f14,f72,f71,f69,f67,f63,f60,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f2304,f61,f62,f21,f22,f51,f4568,f52]) ).

fof(f4568,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2170,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f1883,f1881,f1848,f1842,f1873,f1829,f1827,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2292,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f23,f20,f18,f16,f14,f72,f71,f69,f67,f63,f60,f58,f56,f54,f52,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f2304,f61,f62,f21,f22,f51]) ).

fof(f2807,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c11),sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1717,f1000]) ).

fof(f2596,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f3,f2590]) ).

fof(f2595,plain,
    ( sk_c3 = multiply(inverse(sk_c2),sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f114,f2590]) ).

fof(f2592,plain,
    ( sk_c2 = multiply(sk_c11,inverse(sk_c3))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f1584,f2590]) ).

fof(f2597,plain,
    ( multiply(sk_c12,sk_c2) = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(forward_demodulation,[],[f2591,f1039]) ).

fof(f2591,plain,
    ( inverse(sk_c3) = multiply(inverse(sk_c11),sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f1588,f2590]) ).

fof(f2590,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2304,f2552]) ).

fof(f2302,plain,
    ( identity = sk_c11
    | sk_c11 = multiply(sk_c3,sk_c12)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2301,f371]) ).

fof(f2301,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | sk_c11 = multiply(sk_c3,sk_c12)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f64,f374]) ).

fof(f1405,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1249,f87]) ).

fof(f1249,plain,
    ( identity = inverse(multiply(sk_c12,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f117]) ).

fof(f2316,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f87,f1000]) ).

fof(f2315,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f85,f1000]) ).

fof(f1000,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f983,f375]) ).

fof(f819,plain,
    ( identity = multiply(inverse(sk_c11),sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f114,f375]) ).

fof(f1010,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f375,f983]) ).

fof(f1018,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f983]) ).

fof(f2294,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1041,f81]) ).

fof(f1041,plain,
    ( inverse(sk_c12) = sk_c4
    | ~ spl0_2 ),
    inference(superposition,[],[f999,f85]) ).

fof(f1086,plain,
    ( identity = multiply(sk_c4,sk_c12)
    | ~ spl0_2 ),
    inference(superposition,[],[f982,f85]) ).

fof(f2284,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1118,f81]) ).

fof(f1118,plain,
    ( inverse(sk_c12) = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1094,f375]) ).

fof(f1094,plain,
    ( inverse(sk_c12) = multiply(sk_c11,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f373,f982]) ).

fof(f2283,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1096,f384]) ).

fof(f1096,plain,
    ( multiply(sk_c12,identity) = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f982]) ).

fof(f1140,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f984,f85]) ).

fof(f1157,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f984]) ).

fof(f2280,plain,
    ( identity = multiply(sk_c4,inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1207,f1460]) ).

fof(f1207,plain,
    ( ! [X0] : identity = multiply(sk_c4,multiply(X0,inverse(multiply(sk_c11,X0))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f374]) ).

fof(f1375,plain,
    ( identity = multiply(sk_c12,multiply(sk_c11,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1237,f374]) ).

fof(f1237,plain,
    ( identity = multiply(sk_c12,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f87]) ).

fof(f1246,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c11,inverse(multiply(X0,sk_c4))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f374]) ).

fof(f1250,plain,
    ( identity = inverse(multiply(sk_c12,sk_c11))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f380]) ).

fof(f1418,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1261,f87]) ).

fof(f1261,plain,
    ( identity = inverse(multiply(sk_c12,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f1092]) ).

fof(f1262,plain,
    ( identity = inverse(multiply(sk_c12,sk_c11))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f1092]) ).

fof(f2277,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2276,f81]) ).

fof(f2276,plain,
    ( inverse(sk_c12) = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2275,f375]) ).

fof(f2275,plain,
    ( inverse(sk_c12) = multiply(sk_c11,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1270,f1460]) ).

fof(f1270,plain,
    ( ! [X0] : multiply(sk_c11,identity) = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f373,f1092]) ).

fof(f2274,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2273,f384]) ).

fof(f2273,plain,
    ( multiply(sk_c12,identity) = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1272,f1460]) ).

fof(f1272,plain,
    ( ! [X0] : multiply(sk_c12,identity) = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f1092]) ).

fof(f2272,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2271,f384]) ).

fof(f2271,plain,
    ( multiply(sk_c12,identity) = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1443,f1460]) ).

fof(f1443,plain,
    ( ! [X0] : multiply(sk_c12,identity) = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1274,f374]) ).

fof(f1274,plain,
    ( ! [X0] : multiply(sk_c12,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f1092]) ).

fof(f2267,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1533,f85]) ).

fof(f1533,plain,
    ( inverse(sk_c4) = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1469,f1460]) ).

fof(f1469,plain,
    ( ! [X0] : inverse(sk_c4) = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1460,f374]) ).

fof(f2266,plain,
    ( sk_c12 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1537,f1]) ).

fof(f1537,plain,
    ( multiply(identity,sk_c12) = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1476,f85]) ).

fof(f1476,plain,
    ( inverse(sk_c11) = multiply(identity,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1460,f375]) ).

fof(f2261,plain,
    ( sk_c11 = multiply(sk_c4,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1500,f81]) ).

fof(f1500,plain,
    ( inverse(sk_c12) = multiply(sk_c4,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1460,f87]) ).

fof(f1509,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c11,inverse(multiply(X0,sk_c4)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1460,f374]) ).

fof(f1517,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c11,inverse(multiply(X0,sk_c4)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f374,f1460]) ).

fof(f1518,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c12,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f1460]) ).

fof(f1727,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1673,f1584]) ).

fof(f1673,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c11,X0),inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f374]) ).

fof(f1678,plain,
    ( sk_c12 = multiply(sk_c12,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f384]) ).

fof(f1680,plain,
    ( sk_c11 = multiply(sk_c4,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f375]) ).

fof(f1717,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c12) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1584,f85]) ).

fof(f1829,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),sk_c4) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1714,f85]) ).

fof(f1873,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1837,f1714]) ).

fof(f1837,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c11,inverse(X0)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1714,f374]) ).

fof(f1883,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1464,f85]) ).

fof(f1899,plain,
    ( ! [X0] : multiply(sk_c11,inverse(multiply(inverse(X0),sk_c4))) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1464,f374]) ).

fof(f1909,plain,
    ( ! [X0] : multiply(sk_c11,inverse(multiply(inverse(X0),sk_c4))) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f374,f1464]) ).

fof(f1910,plain,
    ( ! [X0] : multiply(sk_c12,X0) = inverse(multiply(inverse(X0),sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f1464]) ).

fof(f1994,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c11,X0)),sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f374]) ).

fof(f2054,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2000,f2]) ).

fof(f2000,plain,
    ( inverse(identity) = multiply(inverse(sk_c12),sk_c12)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f384]) ).

fof(f2250,plain,
    ( multiply(sk_c12,sk_c11) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2002,f85]) ).

fof(f2002,plain,
    ( inverse(identity) = multiply(inverse(sk_c4),sk_c11)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f375]) ).

fof(f2247,plain,
    ( sk_c12 = multiply(inverse(identity),sk_c12)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2028,f85]) ).

fof(f2028,plain,
    ( inverse(sk_c4) = multiply(inverse(identity),sk_c12)
    | ~ spl0_2 ),
    inference(superposition,[],[f1588,f87]) ).

fof(f2172,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1946,f85]) ).

fof(f2183,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c11,inverse(X0))),sk_c4) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1946,f374]) ).

fof(f384,plain,
    ( sk_c12 = multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f380,f371]) ).

fof(f380,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f374]) ).

fof(f374,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f373,f117]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f378,f1]) ).

fof(f378,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f375]) ).

fof(f375,plain,
    ( sk_c4 = multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f373,f87]) ).

fof(f117,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f107,f1]) ).

fof(f107,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f87]) ).

fof(f87,plain,
    ( identity = multiply(sk_c12,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f85]) ).

fof(f85,plain,
    ( sk_c12 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f6160,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6159]) ).

fof(f6159,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6158,f1]) ).

fof(f6158,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6130,f4720]) ).

fof(f4720,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3357,f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2172,f2247,f2248,f2097,f2095,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1899,f2252,f2254,f2255,f1886,f1883,f1848,f1842,f1873,f1829,f1827,f1717,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1509,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f1140,f2283,f2284,f1093,f1089,f1086,f2288,f2289,f2291,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2341,f1405,f59,f1084,f2302,f1715,f2807,f2340,f2553,f2911,f2912,f2921,f2922,f2916,f2917,f2923,f2920,f2927,f2932,f2931,f3428,f3439,f3443,f3480,f3482,f61,f62,f21,f22,f51,f52,f4571,f2304,f60,f63,f23,f53,f2292,f2828,f2821,f2797,f2790,f2826,f2795,f50,f20,f2825,f2817,f2816,f2794,f2786,f2785,f2249,f2008,f2007,f3259,f1908,f1906,f4602,f1516,f1514,f2827,f2796,f2342,f4608,f2170,f1740,f1686,f1685,f2339,f4611,f1881,f4604,f4718]) ).

fof(f4718,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4604,f55,f25,f45,f35,f65,f15,f1,f2,f5,f3,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f27,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2226,f2223,f2175,f2097,f2095,f2053,f2251,f2047,f1991,f2252,f2254,f2255,f1886,f1848,f1842,f2258,f1676,f1489,f2262,f2269,f2270,f1527,f1426,f1425,f1413,f1412,f1227,f1340,f2281,f1205,f1154,f1150,f1093,f1089,f2295,f1014,f2296,f1004,f954,f951,f813,f73,f70,f68,f66,f48,f46,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f19,f17,f57,f59,f2553,f61,f62,f21,f22,f51,f52,f60,f63,f23,f53,f50,f20]) ).

fof(f3482,plain,
    ( identity = multiply(identity,sk_c10)
    | inverse(sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3481,f2931]) ).

fof(f3481,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | inverse(sk_c8) = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f21,f2553]) ).

fof(f3480,plain,
    ( identity = multiply(identity,sk_c10)
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3479,f2931]) ).

fof(f3479,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f22,f2553]) ).

fof(f3443,plain,
    ( identity = sk_c10
    | identity = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3442,f2931]) ).

fof(f3442,plain,
    ( sk_c12 = sk_c10
    | identity = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3441,f1]) ).

fof(f3441,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | identity = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3440,f2553]) ).

fof(f3440,plain,
    ( identity = multiply(sk_c9,identity)
    | sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3345,f2931]) ).

fof(f3345,plain,
    ( sk_c12 = multiply(sk_c9,identity)
    | sk_c12 = multiply(sk_c11,sk_c10)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f2553]) ).

fof(f3439,plain,
    ( identity = sk_c10
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3438,f2931]) ).

fof(f3438,plain,
    ( sk_c12 = sk_c10
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3437,f1]) ).

fof(f3437,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f23,f2553]) ).

fof(f3428,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c10
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3427,f2553]) ).

fof(f3427,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c10
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2292,f2931]) ).

fof(f2931,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2926,f1405]) ).

fof(f2926,plain,
    ( sk_c12 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f85,f2920]) ).

fof(f2932,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2928,f1]) ).

fof(f2928,plain,
    ( ! [X0] : multiply(sk_c12,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f117,f2920]) ).

fof(f2927,plain,
    ( identity = multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f87,f2920]) ).

fof(f2920,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2913,f1]) ).

fof(f2913,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f375,f2553]) ).

fof(f2922,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2915,f1405]) ).

fof(f2921,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2914,f1]) ).

fof(f2914,plain,
    ( ! [X0] : multiply(sk_c12,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f380,f2553]) ).

fof(f3357,plain,
    ( identity = sk_c12
    | sk_c11 = multiply(sk_c2,sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f48,f2379]) ).

fof(f6130,plain,
    ( identity != multiply(sk_c12,identity)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f392]) ).

fof(f2243,plain,
    ( ! [X4] : identity != multiply(inverse(X4),identity)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f2242]) ).

fof(f6157,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6156]) ).

fof(f6156,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6155,f1]) ).

fof(f6155,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6127,f2553]) ).

fof(f6127,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f396]) ).

fof(f6154,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6153]) ).

fof(f6153,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6152,f1]) ).

fof(f6152,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6126,f4720]) ).

fof(f6126,plain,
    ( identity != multiply(sk_c12,identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f85]) ).

fof(f6151,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6150]) ).

fof(f6150,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6149,f1]) ).

fof(f6149,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6125,f4720]) ).

fof(f6125,plain,
    ( identity != multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f1039]) ).

fof(f6148,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6147]) ).

fof(f6147,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6146,f1]) ).

fof(f6146,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6124,f2553]) ).

fof(f6124,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f81]) ).

fof(f6145,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f6144]) ).

fof(f6144,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f6112,f1]) ).

fof(f6112,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f1405]) ).

fof(f6143,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f6142]) ).

fof(f6142,plain,
    ( $false
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f6133]) ).

fof(f6133,plain,
    ( identity != identity
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f2]) ).

fof(f6141,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f6140]) ).

fof(f6140,plain,
    ( $false
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f6134]) ).

fof(f6134,plain,
    ( identity != identity
    | ~ spl0_7 ),
    inference(superposition,[],[f2243,f933]) ).

fof(f6111,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6110]) ).

fof(f6110,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6099,f4720]) ).

fof(f6099,plain,
    ( identity != sk_c12
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f392]) ).

fof(f6040,plain,
    ( ! [X0] : identity != inverse(X0)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f6039,f1]) ).

fof(f6039,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(identity,identity) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f6038]) ).

fof(f6038,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f6037]) ).

fof(f6037,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity)
        | identity != inverse(X0) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f5928,f1405]) ).

fof(f6109,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6108]) ).

fof(f6108,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6096,f2553]) ).

fof(f6096,plain,
    ( identity != sk_c11
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f396]) ).

fof(f6107,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6106]) ).

fof(f6106,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6095,f4720]) ).

fof(f6095,plain,
    ( identity != sk_c12
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f85]) ).

fof(f6105,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6104]) ).

fof(f6104,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6094,f4720]) ).

fof(f6094,plain,
    ( identity != sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f1039]) ).

fof(f6103,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f6102]) ).

fof(f6102,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f6093,f2553]) ).

fof(f6093,plain,
    ( identity != sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f81]) ).

fof(f6101,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f6100]) ).

fof(f6100,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f6081]) ).

fof(f6081,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f6040,f1405]) ).

fof(f5096,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f5095]) ).

fof(f5095,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5094,f1405]) ).

fof(f5094,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5093,f2553]) ).

fof(f5093,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5092,f1000]) ).

fof(f5092,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5091,f1]) ).

fof(f5091,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5052,f2553]) ).

fof(f5052,plain,
    ( identity != multiply(sk_c11,identity)
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f374]) ).

fof(f2237,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f2236]) ).

fof(f5074,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f5073]) ).

fof(f5073,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f5072,f999]) ).

fof(f5072,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f5056,f999]) ).

fof(f5056,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f5047]) ).

fof(f5047,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f933]) ).

fof(f5071,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f5070]) ).

fof(f5070,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f5057,f999]) ).

fof(f5057,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f5046]) ).

fof(f5046,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f2]) ).

fof(f5069,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f5068]) ).

fof(f5068,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f5058,f1405]) ).

fof(f5058,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f5045]) ).

fof(f5045,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f1]) ).

fof(f5067,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f5066]) ).

fof(f5066,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5065,f1405]) ).

fof(f5065,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5064,f2553]) ).

fof(f5064,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5044,f2920]) ).

fof(f5044,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f375]) ).

fof(f5063,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f5062]) ).

fof(f5062,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5061,f1405]) ).

fof(f5061,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5060,f4720]) ).

fof(f5060,plain,
    ( identity != inverse(sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f5043,f4720]) ).

fof(f5043,plain,
    ( identity != sk_c12
    | identity != inverse(sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f2237,f384]) ).

fof(f4717,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4716]) ).

fof(f4716,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4715,f4659]) ).

fof(f4659,plain,
    ( identity != sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2552,f4630]) ).

fof(f4630,plain,
    ( sk_c12 = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f4615,f81]) ).

fof(f4615,plain,
    ( sk_c12 = inverse(sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4614,f4592]) ).

fof(f4592,plain,
    ( sk_c12 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f4591,f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f392,f398,f402,f401,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2245,f2172,f2170,f2246,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f2256,f1883,f1881,f1848,f1842,f1873,f1861,f1829,f1827,f2257,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2260,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f2279,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f2282,f1140,f2283,f2284,f1093,f1089,f2285,f1086,f2288,f2289,f2291,f2293,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f50,f48,f46,f2306,f2308,f2310,f2312,f2313,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f432,f431,f430,f2314,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2549,f2560,f2562,f2566,f2578,f2572,f2563,f2583,f2585,f2590,f2597,f2592,f2601,f2595,f2596,f2599,f2603,f2604,f2617,f2618,f2608,f2609,f2619,f2611,f2612,f2613,f2614,f2616,f2629,f2631,f2632,f2641,f2645,f2638,f2630,f2651,f2649,f2650,f2646,f2658,f1715,f2785,f2786,f2794,f2796,f2807,f2808,f2340,f2816,f2817,f2825,f2827,f2565,f2588,f2586,f2573,f2568,f2564,f2559,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2908,f4573,f2304,f4574,f60,f63,f4582,f4583,f4584,f4585,f23,f53,f4588,f2292,f4589,f2828,f2821,f2797,f2790,f2826,f2795]) ).

fof(f4585,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f392,f398,f402,f401,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2245,f2172,f2170,f2246,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f2256,f1883,f1881,f1848,f1842,f1873,f1861,f1829,f1827,f2257,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2260,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f2279,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f2282,f1140,f2283,f2284,f1093,f1089,f2285,f1086,f2288,f2289,f2291,f2292,f2293,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f2306,f2308,f2310,f2312,f2313,f23,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f432,f431,f430,f2314,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f2629,f2632,f2641,f2638,f2646,f2658,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2808,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2908,f4573,f2304,f4574,f60,f63,f4582,f4583,f4584]) ).

fof(f4584,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f432,f1000]) ).

fof(f4583,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f392,f398,f402,f401,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2245,f2172,f2170,f2246,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f2256,f1883,f1881,f1848,f1842,f1873,f1861,f1829,f1827,f2257,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2260,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f2279,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f2282,f1140,f2283,f2284,f1093,f1089,f2285,f1086,f2288,f2289,f2291,f2292,f2293,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f2306,f2308,f2310,f2312,f2313,f23,f20,f18,f16,f14,f72,f71,f69,f67,f58,f56,f54,f49,f47,f432,f431,f430,f2314,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f2629,f2632,f2641,f2638,f2646,f2658,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2808,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2908,f4573,f2304,f4574,f60,f63,f4582]) ).

fof(f4582,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | inverse(sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f431,f1000]) ).

fof(f4573,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f55,f25,f45,f35,f65,f15,f1,f2,f5,f85,f87,f3,f117,f77,f64,f44,f43,f40,f38,f36,f34,f42,f41,f39,f37,f33,f30,f28,f26,f24,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f81,f371,f373,f375,f379,f374,f380,f384,f27,f392,f398,f402,f401,f114,f816,f814,f944,f933,f952,f974,f829,f986,f987,f989,f990,f983,f1030,f1009,f1037,f999,f1049,f1050,f982,f1134,f1104,f984,f1153,f1164,f1092,f1209,f1248,f1417,f1462,f1465,f1460,f1471,f1487,f1511,f1668,f1522,f1523,f1525,f1526,f1584,f1675,f1691,f1721,f1722,f1723,f1724,f1714,f1840,f1843,f1844,f1845,f1846,f1464,f1896,f1901,f1914,f1915,f1916,f1917,f1919,f1920,f1588,f1997,f2012,f2013,f2039,f2043,f2045,f1946,f2186,f2192,f2196,f2198,f2183,f2226,f2223,f2175,f2245,f2172,f2170,f2246,f2247,f2248,f2097,f2095,f2008,f2007,f2249,f2250,f2054,f2053,f2251,f1994,f2047,f1991,f1910,f1909,f1908,f1906,f1899,f2252,f2254,f2255,f1886,f2256,f1883,f1881,f1848,f1842,f1873,f1861,f1829,f1827,f2257,f1717,f1686,f1685,f1740,f1680,f1678,f2258,f1676,f1727,f1518,f1517,f1516,f1514,f1509,f2260,f2261,f1491,f1489,f2262,f2263,f2266,f2267,f2269,f2270,f1527,f2272,f2274,f2277,f1426,f1425,f1420,f1262,f1418,f1413,f1412,f1407,f1250,f1246,f2279,f1375,f1228,f1227,f1340,f2280,f2281,f1205,f1157,f1154,f1150,f2282,f1140,f2283,f2284,f1093,f1089,f2285,f1086,f2288,f2289,f2291,f2292,f2293,f2294,f1018,f2295,f1014,f1010,f2296,f1004,f976,f954,f951,f928,f830,f825,f819,f813,f73,f70,f68,f66,f53,f50,f48,f46,f2306,f2308,f2310,f2312,f2313,f23,f20,f18,f16,f14,f72,f71,f69,f67,f63,f60,f58,f56,f54,f49,f47,f432,f431,f430,f2314,f19,f17,f57,f1000,f2315,f2316,f1039,f2331,f2344,f2339,f2341,f2342,f1405,f59,f1084,f2302,f2552,f2590,f2597,f2592,f2595,f2596,f2629,f2632,f2641,f2638,f2646,f2658,f1715,f2785,f2786,f2790,f2794,f2795,f2796,f2797,f2807,f2808,f2340,f2816,f2817,f2821,f2825,f2826,f2827,f2828,f2304,f61,f62,f21,f22,f51,f4568,f52,f4569,f4571,f2908]) ).

fof(f2908,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2313,f1000]) ).

fof(f2564,plain,
    ( multiply(sk_c12,sk_c12) = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2557,f1039]) ).

fof(f2557,plain,
    ( inverse(sk_c3) = multiply(sk_c12,inverse(sk_c11))
    | ~ spl0_10 ),
    inference(superposition,[],[f1460,f2549]) ).

fof(f2568,plain,
    ( sk_c12 = multiply(sk_c11,inverse(sk_c3))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1584,f2562]) ).

fof(f2573,plain,
    ( multiply(sk_c12,sk_c12) = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2567,f1039]) ).

fof(f2567,plain,
    ( inverse(sk_c3) = multiply(inverse(sk_c11),sk_c12)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1588,f2562]) ).

fof(f2586,plain,
    ( sk_c12 = multiply(inverse(sk_c3),sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2580,f1039]) ).

fof(f2580,plain,
    ( inverse(sk_c11) = multiply(inverse(sk_c3),sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1588,f2563]) ).

fof(f2588,plain,
    ( sk_c12 = multiply(sk_c11,inverse(sk_c3))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2582,f1039]) ).

fof(f2582,plain,
    ( inverse(sk_c11) = multiply(sk_c11,inverse(sk_c3))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1460,f2563]) ).

fof(f2565,plain,
    ( identity = multiply(sk_c3,multiply(sk_c12,sk_c12))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2558,f1039]) ).

fof(f2558,plain,
    ( identity = multiply(sk_c3,multiply(sk_c12,inverse(sk_c11)))
    | ~ spl0_10 ),
    inference(superposition,[],[f1092,f2549]) ).

fof(f2808,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c11),sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2257,f1000]) ).

fof(f2658,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c12,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f3,f2646]) ).

fof(f2646,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(forward_demodulation,[],[f2637,f1039]) ).

fof(f2637,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f114,f2629]) ).

fof(f2650,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2549,f2630]) ).

fof(f2649,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2562,f2630]) ).

fof(f2651,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2648,f2616]) ).

fof(f2648,plain,
    ( sk_c11 = multiply(sk_c2,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2590,f2630]) ).

fof(f2630,plain,
    ( sk_c12 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2629,f2563]) ).

fof(f2638,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c11,multiply(sk_c11,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f3,f2629]) ).

fof(f2645,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2644,f2563]) ).

fof(f2644,plain,
    ( identity = multiply(sk_c11,multiply(sk_c11,sk_c11))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(forward_demodulation,[],[f2636,f81]) ).

fof(f2636,plain,
    ( identity = multiply(sk_c11,multiply(sk_c11,inverse(sk_c12)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f1092,f2629]) ).

fof(f2641,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(forward_demodulation,[],[f2634,f1039]) ).

fof(f2634,plain,
    ( sk_c11 = multiply(sk_c12,inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f1584,f2629]) ).

fof(f2632,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(superposition,[],[f380,f2629]) ).

fof(f2631,plain,
    ( sk_c12 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2563,f2629]) ).

fof(f2629,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(forward_demodulation,[],[f2628,f1000]) ).

fof(f2628,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2313,f2552]) ).

fof(f2616,plain,
    ( sk_c12 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2615,f384]) ).

fof(f2615,plain,
    ( sk_c2 = multiply(sk_c12,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2605,f1039]) ).

fof(f2605,plain,
    ( sk_c2 = multiply(inverse(sk_c11),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f814,f2599]) ).

fof(f2614,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c11)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1946,f2599]) ).

fof(f2613,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c11),sk_c2) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1714,f2599]) ).

fof(f2612,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c11) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1584,f2599]) ).

fof(f2611,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c11,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1464,f2599]) ).

fof(f2619,plain,
    ( sk_c12 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2610,f1039]) ).

fof(f2610,plain,
    ( sk_c2 = inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f999,f2599]) ).

fof(f2609,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c11,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f984,f2599]) ).

fof(f2608,plain,
    ( identity = multiply(sk_c2,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f982,f2599]) ).

fof(f2618,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2607,f999]) ).

fof(f2607,plain,
    ( identity = multiply(inverse(inverse(sk_c11)),sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f933,f2599]) ).

fof(f2617,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2606,f1039]) ).

fof(f2606,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f829,f2599]) ).

fof(f2604,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f114,f2599]) ).

fof(f2603,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2,f2599]) ).

fof(f2599,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2598,f2549]) ).

fof(f2598,plain,
    ( inverse(sk_c2) = multiply(sk_c3,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(forward_demodulation,[],[f2593,f1039]) ).

fof(f2593,plain,
    ( inverse(sk_c2) = multiply(sk_c3,inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f1460,f2590]) ).

fof(f2601,plain,
    ( identity = multiply(sk_c2,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2600,f2549]) ).

fof(f2600,plain,
    ( identity = multiply(sk_c2,multiply(sk_c3,sk_c12))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(forward_demodulation,[],[f2594,f1039]) ).

fof(f2594,plain,
    ( identity = multiply(sk_c2,multiply(sk_c3,inverse(sk_c11)))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(superposition,[],[f1092,f2590]) ).

fof(f2585,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2563]) ).

fof(f2583,plain,
    ( identity = multiply(sk_c11,multiply(sk_c11,inverse(sk_c3)))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1092,f2563]) ).

fof(f2572,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2562]) ).

fof(f2578,plain,
    ( sk_c3 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2571,f81]) ).

fof(f2571,plain,
    ( sk_c3 = multiply(inverse(sk_c12),sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f114,f2562]) ).

fof(f2566,plain,
    ( sk_c3 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f373,f2562]) ).

fof(f2562,plain,
    ( sk_c11 = multiply(sk_c12,sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2561,f81]) ).

fof(f2561,plain,
    ( inverse(sk_c12) = multiply(sk_c12,sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2555,f1039]) ).

fof(f2555,plain,
    ( inverse(sk_c12) = multiply(inverse(sk_c11),sk_c3)
    | ~ spl0_10 ),
    inference(superposition,[],[f1588,f2549]) ).

fof(f2560,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c3,multiply(sk_c12,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2549]) ).

fof(f2314,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c11 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f37,f401]) ).

fof(f430,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c9 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f39,f401]) ).

fof(f431,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | inverse(sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f41,f401]) ).

fof(f432,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c9 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f42,f401]) ).

fof(f2313,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f724,f401]) ).

fof(f2312,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2311,f374]) ).

fof(f2311,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f36,f401]) ).

fof(f2310,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | sk_c12 = multiply(sk_c6,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2309,f374]) ).

fof(f2309,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c12 = multiply(sk_c6,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f38,f401]) ).

fof(f2308,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | sk_c12 = multiply(sk_c9,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2307,f374]) ).

fof(f2307,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c12 = multiply(sk_c9,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f40,f401]) ).

fof(f2306,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2305,f374]) ).

fof(f2305,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f43,f401]) ).

fof(f2293,plain,
    ( sk_c11 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1052,f81]) ).

fof(f1052,plain,
    ( inverse(sk_c12) = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1042,f401]) ).

fof(f2285,plain,
    ( identity = multiply(sk_c4,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1087,f401]) ).

fof(f1087,plain,
    ( identity = multiply(sk_c1,sk_c12)
    | ~ spl0_3 ),
    inference(superposition,[],[f982,f392]) ).

fof(f2282,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1141,f401]) ).

fof(f1141,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c12,X0)) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f984,f392]) ).

fof(f2279,plain,
    ( identity = multiply(sk_c12,multiply(sk_c11,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2278,f374]) ).

fof(f2278,plain,
    ( identity = multiply(sk_c12,multiply(sk_c4,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1240,f401]) ).

fof(f1240,plain,
    ( identity = multiply(sk_c12,multiply(sk_c1,inverse(identity)))
    | ~ spl0_3 ),
    inference(superposition,[],[f1092,f398]) ).

fof(f2260,plain,
    ( sk_c11 = multiply(sk_c4,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2259,f81]) ).

fof(f2259,plain,
    ( inverse(sk_c12) = multiply(sk_c4,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1503,f401]) ).

fof(f1503,plain,
    ( inverse(sk_c12) = multiply(sk_c1,inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f1460,f398]) ).

fof(f2257,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c12) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1718,f401]) ).

fof(f1718,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c12) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f1584,f392]) ).

fof(f1861,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),sk_c4) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1830,f401]) ).

fof(f1830,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c12),sk_c1) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f1714,f392]) ).

fof(f2256,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1884,f401]) ).

fof(f1884,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c12,X0)))
    | ~ spl0_3 ),
    inference(superposition,[],[f1464,f392]) ).

fof(f2246,plain,
    ( sk_c12 = multiply(inverse(identity),sk_c12)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2031,f392]) ).

fof(f2031,plain,
    ( inverse(sk_c1) = multiply(inverse(identity),sk_c12)
    | ~ spl0_3 ),
    inference(superposition,[],[f1588,f398]) ).

fof(f2245,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2173,f401]) ).

fof(f2173,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c12)),X0)
    | ~ spl0_3 ),
    inference(superposition,[],[f1946,f392]) ).

fof(f401,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f399,f375]) ).

fof(f399,plain,
    ( sk_c1 = multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f373,f398]) ).

fof(f402,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f400,f1]) ).

fof(f400,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c1,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f398]) ).

fof(f398,plain,
    ( identity = multiply(sk_c12,sk_c1)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f392]) ).

fof(f4591,plain,
    ( identity = sk_c10
    | sk_c12 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4590,f1084]) ).

fof(f4590,plain,
    ( sk_c10 = multiply(sk_c12,sk_c11)
    | sk_c12 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3373,f2363]) ).

fof(f3373,plain,
    ( sk_c12 = sk_c3
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2312,f2563]) ).

fof(f4614,plain,
    ( inverse(sk_c12) = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2372,f2616]) ).

fof(f4715,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4701,f2]) ).

fof(f4701,plain,
    ( sk_c12 = multiply(inverse(sk_c12),sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f114,f4672]) ).

fof(f4672,plain,
    ( sk_c12 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4671,f4630]) ).

fof(f4671,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4670,f2616]) ).

fof(f4670,plain,
    ( sk_c11 = multiply(sk_c2,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4568,f4592]) ).

fof(f4712,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4711]) ).

fof(f4711,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4710,f4659]) ).

fof(f4710,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4698,f982]) ).

fof(f4698,plain,
    ( sk_c12 = multiply(sk_c12,inverse(sk_c12))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1584,f4672]) ).

fof(f4708,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4707]) ).

fof(f4707,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4706,f4659]) ).

fof(f4706,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4696,f371]) ).

fof(f4696,plain,
    ( sk_c12 = multiply(sk_c11,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f373,f4672]) ).

fof(f4705,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4704]) ).

fof(f4704,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4703,f4659]) ).

fof(f4703,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f4695,f1084]) ).

fof(f4695,plain,
    ( sk_c12 = multiply(sk_c12,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1715,f4672]) ).

fof(f4557,plain,
    ( spl0_7
    | spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f4556,f2551,f394,f83,f79,f2239,f2236,f2236,f2236,f2242]) ).

fof(f4556,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3428,f3451]) ).

fof(f3451,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f3450]) ).

fof(f3450,plain,
    ( identity = sk_c10
    | identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3449,f2931]) ).

fof(f3449,plain,
    ( sk_c12 = sk_c10
    | identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3448,f2363]) ).

fof(f3448,plain,
    ( sk_c5 = sk_c10
    | identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3447,f983]) ).

fof(f3447,plain,
    ( sk_c10 = multiply(sk_c5,identity)
    | identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3446,f2553]) ).

fof(f3446,plain,
    ( identity = sk_c10
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3445,f2931]) ).

fof(f3445,plain,
    ( sk_c12 = sk_c10
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3444,f1]) ).

fof(f3444,plain,
    ( sk_c12 = multiply(identity,sk_c10)
    | multiply(sk_c5,sk_c11) = sk_c10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f2553]) ).

fof(f3426,plain,
    ( spl0_7
    | spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f3401,f2551,f2370,f394,f83,f79,f2239,f2236,f2236,f2236,f2242]) ).

fof(f3401,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3400,f2553]) ).

fof(f3400,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3399,f2931]) ).

fof(f3399,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != sk_c12
        | identity != sk_c11
        | inverse(X8) != X10
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X3,identity)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2292,f2980]) ).

fof(f2980,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2979,f2931]) ).

fof(f2979,plain,
    ( sk_c12 = sk_c10
    | ~ spl0_1
    | ~ spl0_4
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2978,f2363]) ).

fof(f2978,plain,
    ( sk_c5 = sk_c10
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2977,f983]) ).

fof(f2977,plain,
    ( sk_c10 = multiply(sk_c5,identity)
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2976,f2553]) ).

fof(f2976,plain,
    ( multiply(sk_c5,sk_c11) = sk_c10
    | spl0_9 ),
    inference(subsumption_resolution,[],[f56,f2371]) ).

fof(f2907,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2906]) ).

fof(f2906,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2905,f2552]) ).

fof(f2905,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f2904,f371]) ).

fof(f2904,plain,
    ( sk_c11 = multiply(sk_c11,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f2903,f1000]) ).

fof(f2903,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f54,f2371]) ).

fof(f2554,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2302,f83,f79,f2551,f2547]) ).

fof(f2373,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f59,f2370,f2366]) ).

fof(f2244,plain,
    ( spl0_5
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1202,f394,f390,f83,f79,f2236,f2242,f2239,f2236,f2236]) ).

fof(f1202,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1201,f982]) ).

fof(f1201,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X4,inverse(X4))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1081,f982]) ).

fof(f1081,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X8,inverse(X8))
        | identity != multiply(X4,inverse(X4))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1080,f527]) ).

fof(f527,plain,
    ( identity = sk_c12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f526,f458]) ).

fof(f458,plain,
    ( identity = multiply(sk_c12,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f117,f452]) ).

fof(f452,plain,
    ( sk_c11 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f451,f423]) ).

fof(f423,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f421,f413]) ).

fof(f413,plain,
    ( sk_c10 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f380,f412]) ).

fof(f412,plain,
    ( sk_c12 = multiply(sk_c11,sk_c10)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f17,f395]) ).

fof(f395,plain,
    ( sk_c11 != inverse(sk_c5)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f421,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f117,f418]) ).

fof(f418,plain,
    ( sk_c12 = multiply(sk_c4,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f417,f401]) ).

fof(f417,plain,
    ( sk_c12 = multiply(sk_c1,sk_c11)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f37,f395]) ).

fof(f451,plain,
    ( sk_c10 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f442,f413]) ).

fof(f442,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c12,sk_c12)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f422,f371]) ).

fof(f422,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c4,multiply(sk_c11,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f3,f418]) ).

fof(f526,plain,
    ( sk_c12 = multiply(sk_c12,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f516,f423]) ).

fof(f516,plain,
    ( sk_c12 = multiply(sk_c12,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f412,f507]) ).

fof(f507,plain,
    ( sk_c12 = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f497,f433]) ).

fof(f433,plain,
    ( sk_c11 = multiply(sk_c2,sk_c3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f47,f395]) ).

fof(f497,plain,
    ( sk_c12 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f492,f419]) ).

fof(f419,plain,
    ( sk_c12 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f418,f374]) ).

fof(f492,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c11,sk_c11)
    | spl0_4 ),
    inference(superposition,[],[f435,f434]) ).

fof(f434,plain,
    ( sk_c3 = multiply(sk_c3,sk_c11)
    | spl0_4 ),
    inference(superposition,[],[f409,f433]) ).

fof(f409,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | spl0_4 ),
    inference(forward_demodulation,[],[f408,f1]) ).

fof(f408,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | spl0_4 ),
    inference(superposition,[],[f3,f407]) ).

fof(f407,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | spl0_4 ),
    inference(superposition,[],[f2,f406]) ).

fof(f406,plain,
    ( sk_c3 = inverse(sk_c2)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f57,f395]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | spl0_4 ),
    inference(superposition,[],[f3,f433]) ).

fof(f1080,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X4,inverse(X4))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1079,f527]) ).

fof(f1079,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(X4,inverse(X4))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1078,f507]) ).

fof(f1078,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1077,f527]) ).

fof(f1077,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(X3,sk_c12)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1076,f507]) ).

fof(f1076,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1075,f527]) ).

fof(f1075,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1074,f507]) ).

fof(f1074,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c11 != multiply(inverse(X4),identity)
        | identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1073,f527]) ).

fof(f1073,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(inverse(X8),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1072,f527]) ).

fof(f1072,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(inverse(X8),sk_c12)
        | identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1071,f507]) ).

fof(f1071,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1070,f527]) ).

fof(f1070,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1069,f507]) ).

fof(f1069,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c11 != multiply(X6,identity)
        | identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1068,f527]) ).

fof(f1068,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1067,f527]) ).

fof(f1067,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1066,f507]) ).

fof(f1066,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c11 != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1065,f423]) ).

fof(f1065,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c10 != multiply(X7,identity)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1064,f527]) ).

fof(f1064,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c10 != multiply(X7,sk_c12)
        | inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1063,f507]) ).

fof(f1063,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( inverse(X8) != X10
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1062,f999]) ).

fof(f1062,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1061,f527]) ).

fof(f1061,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != inverse(X6)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1060,f527]) ).

fof(f1060,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != inverse(X7)
        | identity != inverse(X3)
        | sk_c12 != inverse(X6)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1059,f507]) ).

fof(f1059,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( identity != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1058,f527]) ).

fof(f1058,plain,
    ( ! [X3,X10,X8,X6,X7,X4] :
        ( sk_c12 != inverse(X3)
        | sk_c11 != inverse(X7)
        | sk_c12 != inverse(X6)
        | inverse(X8) != inverse(inverse(X10))
        | sk_c10 != multiply(X7,sk_c11)
        | sk_c11 != multiply(X6,sk_c12)
        | sk_c12 != multiply(inverse(X8),sk_c11)
        | sk_c11 != multiply(inverse(X4),sk_c12)
        | sk_c12 != multiply(X3,sk_c11)
        | sk_c11 != multiply(X4,inverse(X4))
        | sk_c12 != multiply(X8,inverse(X8))
        | inverse(X10) != multiply(X10,inverse(X8)) )
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1057,f412]) ).

fof(f397,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f27,f394,f390]) ).

fof(f352,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f351]) ).

fof(f351,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f350,f190]) ).

fof(f190,plain,
    ( sk_c12 = sk_c11
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f162,f122]) ).

fof(f122,plain,
    ( sk_c12 = multiply(sk_c12,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f96]) ).

fof(f96,plain,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f80]) ).

fof(f80,plain,
    ( inverse(sk_c12) != sk_c11
    | spl0_1 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f162,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f161,f147]) ).

fof(f147,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f120,f138]) ).

fof(f138,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f121,f120]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f113,f1]) ).

fof(f113,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f95]) ).

fof(f95,plain,
    ( identity = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f2,f94]) ).

fof(f94,plain,
    ( sk_c9 = inverse(sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f80]) ).

fof(f120,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f112,f1]) ).

fof(f112,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f93]) ).

fof(f93,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f2,f92]) ).

fof(f92,plain,
    ( inverse(sk_c8) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f80]) ).

fof(f161,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c7,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f153]) ).

fof(f153,plain,
    ( sk_c12 = multiply(sk_c7,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f147,f130]) ).

fof(f130,plain,
    ( sk_c9 = multiply(sk_c9,sk_c12)
    | spl0_1 ),
    inference(superposition,[],[f119,f98]) ).

fof(f98,plain,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f80]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f109,f1]) ).

fof(f109,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f91]) ).

fof(f91,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f90]) ).

fof(f90,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f80]) ).

fof(f350,plain,
    ( sk_c12 != sk_c11
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f339,f208]) ).

fof(f208,plain,
    ( sk_c12 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f85,f191]) ).

fof(f191,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f162,f87]) ).

fof(f339,plain,
    ( sk_c11 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f80,f319]) ).

fof(f319,plain,
    ( identity = sk_c12
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f310,f162]) ).

fof(f310,plain,
    ( sk_c12 = multiply(sk_c12,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f178,f262]) ).

fof(f262,plain,
    ( sk_c12 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f252,f162]) ).

fof(f252,plain,
    ( sk_c6 = multiply(sk_c12,sk_c12)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f217,f234]) ).

fof(f234,plain,
    ( sk_c12 = sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f224,f130]) ).

fof(f224,plain,
    ( sk_c12 = multiply(sk_c9,sk_c12)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f119,f219]) ).

fof(f219,plain,
    ( sk_c12 = multiply(sk_c6,sk_c12)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f177,f190]) ).

fof(f177,plain,
    ( sk_c11 = multiply(sk_c6,sk_c12)
    | spl0_1 ),
    inference(superposition,[],[f154,f168]) ).

fof(f168,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f157,f155]) ).

fof(f155,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f147,f91]) ).

fof(f157,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f147,f95]) ).

fof(f154,plain,
    ( sk_c11 = multiply(sk_c7,sk_c12)
    | spl0_1 ),
    inference(superposition,[],[f147,f99]) ).

fof(f99,plain,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f80]) ).

fof(f217,plain,
    ( sk_c6 = multiply(sk_c9,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f119,f174]) ).

fof(f174,plain,
    ( sk_c9 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f134,f168]) ).

fof(f134,plain,
    ( sk_c9 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f120,f100]) ).

fof(f100,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f80]) ).

fof(f178,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1 ),
    inference(superposition,[],[f155,f168]) ).

fof(f86,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f83,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : GRP382-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 04:47:58 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (31346)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34  % (31349)WARNING: value z3 for option sas not known
% 0.10/0.34  % (31347)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34  % (31350)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34  % (31351)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)
% 0.10/0.34  % (31348)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34  % (31353)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)
% 0.10/0.34  % (31352)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)
% 0.10/0.34  % (31349)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)
% 0.10/0.35  TRYING [1]
% 0.10/0.35  TRYING [2]
% 0.10/0.35  TRYING [3]
% 0.18/0.35  TRYING [1]
% 0.18/0.35  TRYING [2]
% 0.18/0.36  TRYING [4]
% 0.18/0.36  TRYING [3]
% 0.18/0.38  TRYING [5]
% 0.18/0.39  TRYING [4]
% 0.18/0.43  TRYING [6]
% 0.18/0.53  TRYING [7]
% 0.18/0.54  % (31349)First to succeed.
% 1.71/0.57  % (31349)Refutation found. Thanks to Tanya!
% 1.71/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.58  % (31349)------------------------------
% 1.71/0.58  % (31349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.71/0.58  % (31349)Termination reason: Refutation
% 1.71/0.58  
% 1.71/0.58  % (31349)Memory used [KB]: 3603
% 1.71/0.58  % (31349)Time elapsed: 0.226 s
% 1.71/0.58  % (31349)Instructions burned: 506 (million)
% 1.71/0.58  % (31349)------------------------------
% 1.71/0.58  % (31349)------------------------------
% 1.71/0.58  % (31346)Success in time 0.235 s
%------------------------------------------------------------------------------