TSTP Solution File: GRP236-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP236-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:54:03 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 43
% Syntax : Number of formulae : 1121 ( 61 unt; 0 def)
% Number of atoms : 3812 ( 740 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 4581 (1890 ~;2678 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 215 ( 215 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1927,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f98,f203,f210,f217,f225,f228,f244,f246,f249,f284,f409,f413,f417,f419,f422,f427,f449,f458,f468,f470,f472,f595,f612,f614,f617,f641,f643,f650,f653,f655,f674,f676,f682,f684,f686,f688,f690,f692,f694,f739,f968,f970,f1227,f1229,f1231,f1235,f1238,f1241,f1244,f1247,f1260,f1264,f1331,f1366,f1368,f1370,f1372,f1374,f1376,f1378,f1380,f1382,f1386,f1388,f1391,f1393,f1395,f1397,f1399,f1401,f1404,f1406,f1408,f1410,f1412,f1414,f1416,f1418,f1420,f1422,f1424,f1426,f1428,f1430,f1432,f1434,f1436,f1438,f1440,f1442,f1444,f1446,f1448,f1450,f1452,f1454,f1456,f1458,f1460,f1462,f1464,f1466,f1468,f1470,f1472,f1474,f1476,f1478,f1480,f1482,f1484,f1486,f1488,f1490,f1492,f1494,f1496,f1498,f1500,f1502,f1504,f1506,f1508,f1510,f1512,f1514,f1516,f1518,f1520,f1522,f1524,f1526,f1528,f1530,f1532,f1534,f1536,f1538,f1540,f1542,f1544,f1546,f1548,f1550,f1552,f1554,f1556,f1558,f1560,f1562,f1564,f1566,f1569,f1571,f1573,f1575,f1577,f1579,f1581,f1583,f1585,f1587,f1589,f1591,f1593,f1595,f1597,f1599,f1601,f1603,f1605,f1607,f1609,f1611,f1613,f1615,f1617,f1619,f1621,f1623,f1625,f1627,f1629,f1631,f1633,f1635,f1637,f1639,f1641,f1643,f1645,f1647,f1649,f1651,f1653,f1655,f1657,f1659,f1661,f1663,f1665,f1667,f1669,f1671,f1673,f1675,f1677,f1679,f1681,f1683,f1685,f1687,f1717,f1720,f1780,f1785,f1797,f1801,f1814,f1816,f1818,f1820,f1823,f1825,f1827,f1830,f1834,f1836,f1838,f1840,f1842,f1844,f1846,f1848,f1850,f1852,f1854,f1856,f1858,f1860,f1862,f1864,f1866,f1868,f1870,f1872,f1874,f1876,f1878,f1880,f1882,f1885,f1889,f1891,f1898,f1900,f1902,f1904,f1924,f1926]) ).
fof(f1926,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1925,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1920,f457]) ).
fof(f457,plain,
( identity != sk_c8
| spl0_11 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl0_11
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1920,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f447,f1778]) ).
fof(f1778,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1776,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1776,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f59,f1760]) ).
fof(f1760,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1758,f283]) ).
fof(f283,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl0_7
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1758,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f59,f594]) ).
fof(f594,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f592,plain,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f59,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f51,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
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(f447,plain,
( sk_c8 = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl0_9
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1924,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1917,f457]) ).
fof(f1917,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f1778,f447]) ).
fof(f1904,plain,
( spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1903]) ).
fof(f1903,plain,
( $false
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f283,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883,f16,f593]) ).
fof(f593,plain,
( sk_c7 != multiply(sk_c2,sk_c3)
| spl0_13 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f1883,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(subsumption_resolution,[],[f15,f41]) ).
fof(f21,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f1828,plain,
( sk_c3 = inverse(sk_c2)
| spl0_2 ),
inference(subsumption_resolution,[],[f20,f41]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f22,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f23,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f1155,plain,
! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0,
inference(superposition,[],[f1031,f4]) ).
fof(f1100,plain,
identity = multiply(sk_c8,sk_c7),
inference(superposition,[],[f1029,f4]) ).
fof(f1081,plain,
sk_c8 = inverse(sk_c7),
inference(superposition,[],[f1044,f4]) ).
fof(f1023,plain,
! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0),
inference(superposition,[],[f891,f4]) ).
fof(f973,plain,
sk_c8 = multiply(inverse(sk_c7),identity),
inference(superposition,[],[f875,f4]) ).
fof(f893,plain,
sk_c8 = multiply(inverse(sk_c7),identity),
inference(superposition,[],[f59,f34]) ).
fof(f887,plain,
! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0),
inference(superposition,[],[f59,f62]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f874,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f59,f1]) ).
fof(f994,plain,
identity = inverse(identity),
inference(superposition,[],[f978,f875]) ).
fof(f997,plain,
identity = inverse(identity),
inference(superposition,[],[f875,f978]) ).
fof(f1048,plain,
identity = inverse(identity),
inference(superposition,[],[f1030,f2]) ).
fof(f1354,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1049,f1044]) ).
fof(f1049,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1030,f978]) ).
fof(f1057,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f1030]) ).
fof(f1353,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1058,f1044]) ).
fof(f1058,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f978,f1030]) ).
fof(f1105,plain,
identity = inverse(identity),
inference(superposition,[],[f1029,f1]) ).
fof(f1109,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f1029]) ).
fof(f1167,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f1031,f1]) ).
fof(f1171,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f1,f1031]) ).
fof(f1337,plain,
( sk_c8 = inverse(sk_c5)
| spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f28,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f593,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f1336,f19]) ).
fof(f1336,plain,
( sk_c8 = inverse(sk_c5)
| spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f28,f27,f26,f18,f16,f13,f12,f11,f23,f21,f19,f14,f8,f7,f6,f9,f24,f22,f17,f593,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29]) ).
fof(f1182,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f1031]) ).
fof(f1170,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f1031,f3]) ).
fof(f1031,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f891,f59]) ).
fof(f1121,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f1029]) ).
fof(f1151,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1119,f1]) ).
fof(f1119,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f1029]) ).
fof(f1108,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f1029,f3]) ).
fof(f1029,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f891,f2]) ).
fof(f1092,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f1044]) ).
fof(f1091,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f59,f1044]) ).
fof(f1044,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1030,f875]) ).
fof(f1079,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1069,f1030]) ).
fof(f1069,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f891,f1030]) ).
fof(f1053,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f875,f1030]) ).
fof(f1073,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1051,f1030]) ).
fof(f1051,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f1030,f891]) ).
fof(f1030,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f891,f875]) ).
fof(f1037,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f59,f891]) ).
fof(f1036,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f875,f891]) ).
fof(f1034,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f59,f891]) ).
fof(f1033,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f891]) ).
fof(f891,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f59,f59]) ).
fof(f1016,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f996,f1]) ).
fof(f996,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f978]) ).
fof(f995,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f59,f978]) ).
fof(f978,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f59,f875]) ).
fof(f987,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f979,f1]) ).
fof(f979,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f875]) ).
fof(f875,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f59,f2]) ).
fof(f877,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f59,f3]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f33,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X6,sk_c7) ),
inference(global_subsumption,[],[f4,f20,f24,f23,f22,f21,f5,f9,f8,f19,f15,f29,f25,f7,f14,f10,f6,f18,f28,f13,f17,f16,f27,f26,f12,f11,f32]) ).
fof(f62,plain,
! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f34]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f34,plain,
identity = multiply(sk_c7,sk_c8),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f32,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X6,sk_c7) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X8,X6,X7,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c8) != X7 ),
inference(equality_resolution,[],[f30]) ).
fof(f30,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7
| inverse(X4) != X5
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c7 != multiply(X4,X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c8) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f1902,plain,
( spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1901,plain,
( $false
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1731,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883,f16,f593]) ).
fof(f1731,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1044,f283]) ).
fof(f1900,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
fof(f1899,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883,f16,f593]) ).
fof(f1898,plain,
( spl0_2
| ~ spl0_6
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_13 ),
inference(global_subsumption,[],[f1896,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883,f16]) ).
fof(f1896,plain,
( identity = sk_c6
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f1895,f34]) ).
fof(f1895,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f604,f1567]) ).
fof(f1567,plain,
( sk_c7 = sk_c5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1085,f4]) ).
fof(f1085,plain,
( inverse(sk_c8) = sk_c5
| ~ spl0_6 ),
inference(superposition,[],[f1044,f279]) ).
fof(f279,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f604,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_13 ),
inference(subsumption_resolution,[],[f18,f593]) ).
fof(f1891,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883,f16]) ).
fof(f1889,plain,
( spl0_2
| ~ spl0_6
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_13 ),
inference(global_subsumption,[],[f1887,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883]) ).
fof(f1887,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1886,f34]) ).
fof(f1886,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f18,f1567]) ).
fof(f1885,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1884,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f1883]) ).
fof(f1882,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21]) ).
fof(f1880,plain,
( spl0_2
| ~ spl0_6
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1879,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_13 ),
inference(global_subsumption,[],[f1832,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f22,f27,f1828]) ).
fof(f1832,plain,
( identity = sk_c6
| sk_c3 = inverse(sk_c2)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1831,f34]) ).
fof(f1831,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c3 = inverse(sk_c2)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f23,f1567]) ).
fof(f1878,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1877,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f22,f27,f1828]) ).
fof(f1876,plain,
( spl0_2
| ~ spl0_3
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1875,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_13 ),
inference(global_subsumption,[],[f1786,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f22,f27]) ).
fof(f1786,plain,
( ! [X4] :
( identity != sk_c7
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f91,f1029]) ).
fof(f91,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_3
<=> ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1874,plain,
( ~ spl0_1
| spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1873,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f1821,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f22,f27]) ).
fof(f1821,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f12,f1045]) ).
fof(f1045,plain,
( sk_c7 = sk_c1
| ~ spl0_1 ),
inference(superposition,[],[f1030,f251]) ).
fof(f251,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(superposition,[],[f62,f250]) ).
fof(f250,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1872,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1871,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f22,f27]) ).
fof(f1870,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f27,f22]) ).
fof(f1868,plain,
( spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1867]) ).
fof(f1867,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1342,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f27,f22]) ).
fof(f1342,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f900,f4]) ).
fof(f900,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f59,f590]) ).
fof(f590,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1866,plain,
( spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f597,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f27,f22]) ).
fof(f597,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f62,f590]) ).
fof(f1864,plain,
( spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1863,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f590,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1336,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f21,f1828,f27,f22]) ).
fof(f1862,plain,
( spl0_2
| spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1861,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f590,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f282,f21,f1828,f27,f22]) ).
fof(f282,plain,
( sk_c3 != inverse(sk_c2)
| spl0_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| spl0_7 ),
inference(superposition,[],[f3,f304]) ).
fof(f304,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl0_7 ),
inference(subsumption_resolution,[],[f22,f282]) ).
fof(f1860,plain,
( spl0_2
| spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f597,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f282,f21,f1828,f27,f22]) ).
fof(f1858,plain,
( spl0_2
| spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1857,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f1342,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f282,f21,f1828,f27,f22]) ).
fof(f1856,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1855]) ).
fof(f1855,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f282,f21,f1828,f27,f22]) ).
fof(f1854,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1853]) ).
fof(f1853,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f282,f21,f1828,f27]) ).
fof(f1852,plain,
( ~ spl0_1
| spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1851]) ).
fof(f1851,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f1821,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f282,f21,f1828]) ).
fof(f1850,plain,
( spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1849]) ).
fof(f1849,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1786,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f282,f21,f1828]) ).
fof(f1848,plain,
( spl0_2
| spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f1847,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_13 ),
inference(global_subsumption,[],[f1758,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f282,f21,f1828]) ).
fof(f1846,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
fof(f1845,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f282,f21,f1828]) ).
fof(f1844,plain,
( spl0_2
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1843,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_7 ),
inference(global_subsumption,[],[f1832,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f282,f21]) ).
fof(f1842,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1841,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f282,f21]) ).
fof(f1840,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1839,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f41,f22,f27,f1828,f21,f282]) ).
fof(f1838,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27,f21,f282]) ).
fof(f589,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_12 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1836,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1835]) ).
fof(f1835,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27,f21]) ).
fof(f1834,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1833,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1832,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1830,plain,
( spl0_2
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| spl0_2
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1828,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1827,plain,
( spl0_7
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1826]) ).
fof(f1826,plain,
( $false
| spl0_7
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1758,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1825,plain,
( ~ spl0_3
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1824,plain,
( $false
| ~ spl0_3
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1786,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1823,plain,
( ~ spl0_1
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f1822,plain,
( $false
| ~ spl0_1
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1821,f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1820,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22,f27]) ).
fof(f1818,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1817,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f304,f306,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589,f22]) ).
fof(f1816,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1815,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f304,f306,f22,f17,f59,f877,f282,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f589]) ).
fof(f1814,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1813,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_11
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f250,f251,f257,f253,f261,f265,f271,f24,f22,f430,f432,f17,f659,f658,f661,f663,f664,f777,f848,f59,f877,f902,f955,f953,f956,f958,f890,f960,f961,f963,f965,f966,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f657,f29,f19,f1689,f9,f1690,f6,f1691,f8,f1692,f21,f1693,f11,f13,f16,f1694,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f1695,f23,f1696,f14,f28,f25,f15,f1699,f10,f20,f1700,f1054,f1704,f38,f457,f1045,f283,f1725,f1726,f1727,f1732,f1729,f1730,f1734,f1735,f1736,f1722,f1739,f1747,f1731,f1748,f1749,f1757,f1753,f1754,f594,f1759,f1724,f1767,f1738,f1772,f1760,f1777,f1778,f1788,f1789,f1793,f1792,f1808,f1810,f1811,f1812]) ).
fof(f1812,plain,
( identity != multiply(sk_c8,sk_c6)
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f589,f1778]) ).
fof(f1811,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f250,f251,f257,f253,f261,f265,f271,f24,f22,f430,f432,f17,f659,f658,f661,f663,f664,f777,f848,f59,f877,f902,f955,f953,f956,f958,f890,f960,f961,f963,f965,f966,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f657,f29,f19,f1689,f9,f1690,f6,f1691,f8,f1692,f21,f1693,f11,f13,f16,f1694,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f1695,f23,f1696,f14,f28,f25,f15,f1699,f10,f20,f1700,f1054,f1704,f38,f457,f1045,f283,f1725,f1726,f1727,f1732,f1729,f1730,f1734,f1735,f1736,f1722,f1739,f1747,f1731,f1748,f1749,f1757,f1753,f1754,f594,f1759,f1724,f1767,f1738,f1772,f1760,f1777,f1778,f1788,f1789,f1793,f1792,f1808,f1810]) ).
fof(f1810,plain,
( identity = multiply(sk_c8,sk_c6)
| identity = multiply(sk_c3,sk_c8)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1809,f1778]) ).
fof(f1809,plain,
( identity = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f27,f1778]) ).
fof(f1808,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1807,f457]) ).
fof(f1807,plain,
( identity = sk_c8
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1806,f1]) ).
fof(f1806,plain,
( sk_c8 = multiply(identity,identity)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1805,f1778]) ).
fof(f1805,plain,
( sk_c8 = multiply(sk_c7,identity)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1804,f1045]) ).
fof(f1804,plain,
( sk_c8 = multiply(sk_c1,identity)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1803,f1778]) ).
fof(f1803,plain,
( identity = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f12,f1778]) ).
fof(f1792,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f1722,f1778]) ).
fof(f1793,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f1738,f1778]) ).
fof(f1789,plain,
( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f62,f1778]) ).
fof(f1788,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f34,f1778]) ).
fof(f1777,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f3,f1760]) ).
fof(f1772,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1770,f1]) ).
fof(f1770,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1738]) ).
fof(f1738,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2,f1722]) ).
fof(f1767,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1765,f1]) ).
fof(f1765,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1724]) ).
fof(f1724,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f283]) ).
fof(f1759,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f594]) ).
fof(f1754,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1031,f1731]) ).
fof(f1753,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1029,f1731]) ).
fof(f1757,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1752,f1044]) ).
fof(f1752,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f978,f1731]) ).
fof(f1749,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f59,f1731]) ).
fof(f1748,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f1731]) ).
fof(f1747,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1742,f1044]) ).
fof(f1742,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f978,f1722]) ).
fof(f1739,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f59,f1722]) ).
fof(f1722,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f38,f1045]) ).
fof(f1736,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1692,f1045]) ).
fof(f1735,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1691,f1045]) ).
fof(f1734,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1690,f1045]) ).
fof(f1730,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1031,f283]) ).
fof(f1729,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1029,f283]) ).
fof(f1732,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1728,f1044]) ).
fof(f1728,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f978,f283]) ).
fof(f1727,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(superposition,[],[f891,f283]) ).
fof(f1726,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_7 ),
inference(superposition,[],[f875,f283]) ).
fof(f1725,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f59,f283]) ).
fof(f1704,plain,
( sk_c7 = sk_c1
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1083,f4]) ).
fof(f1083,plain,
( inverse(sk_c8) = sk_c1
| ~ spl0_1 ),
inference(superposition,[],[f1044,f38]) ).
fof(f1054,plain,
( sk_c7 = sk_c1
| ~ spl0_1 ),
inference(superposition,[],[f251,f1030]) ).
fof(f1700,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f430,f432,f17,f777,f848,f59,f877,f902,f955,f953,f956,f958,f890,f960,f961,f963,f965,f966,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f283,f29,f19,f9,f6,f8,f21,f1693,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f1696,f14,f28,f25,f15,f10,f20]) ).
fof(f1699,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(global_subsumption,[],[f20,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f17,f658,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f594,f29,f19,f1689,f9,f6,f8,f21,f11,f13,f16,f1694,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f1695,f23,f14,f28,f25,f15]) ).
fof(f1696,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f430,f432,f17,f777,f848,f59,f877,f902,f955,f953,f956,f958,f890,f960,f961,f963,f965,f966,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f283,f28,f14,f29,f19,f9,f6,f8,f21,f1693,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23]) ).
fof(f1695,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f17,f658,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f594,f29,f19,f1689,f9,f6,f8,f21,f11,f13,f16,f1694,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18]) ).
fof(f1694,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f17,f658,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f594,f29,f19,f1689,f9,f6,f8,f21,f11,f13,f16]) ).
fof(f1693,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f430,f432,f17,f777,f848,f59,f877,f902,f955,f953,f956,f958,f890,f960,f961,f963,f965,f966,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f283,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f29,f19,f9,f6,f8,f21]) ).
fof(f1692,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f38,f250,f251,f257,f253,f261,f265,f271,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f29,f19,f9,f1690,f6,f1691,f8]) ).
fof(f1691,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f38,f250,f251,f257,f253,f261,f265,f271,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f29,f19,f9,f1690,f6]) ).
fof(f1690,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f38,f250,f251,f257,f253,f261,f265,f271,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f29,f19,f9]) ).
fof(f1689,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f17,f658,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f594,f29,f19]) ).
fof(f657,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f432,f594]) ).
fof(f966,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f59,f890]) ).
fof(f965,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(superposition,[],[f902,f890]) ).
fof(f963,plain,
( ! [X0] : multiply(inverse(inverse(sk_c3)),multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f59,f890]) ).
fof(f961,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f890,f59]) ).
fof(f960,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(superposition,[],[f890,f902]) ).
fof(f890,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(superposition,[],[f59,f848]) ).
fof(f958,plain,
( ! [X0] : multiply(inverse(inverse(sk_c3)),multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f957,f1]) ).
fof(f957,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c3)),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f953]) ).
fof(f956,plain,
( sk_c2 = multiply(inverse(inverse(inverse(sk_c3))),identity)
| ~ spl0_7 ),
inference(superposition,[],[f59,f953]) ).
fof(f953,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f59,f902]) ).
fof(f955,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f954,f1]) ).
fof(f954,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),multiply(identity,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f902]) ).
fof(f902,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_7 ),
inference(superposition,[],[f59,f777]) ).
fof(f848,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f847,f1]) ).
fof(f847,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f777]) ).
fof(f777,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f283]) ).
fof(f664,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f432,f658]) ).
fof(f663,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f658,f430]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f658,f432]) ).
fof(f658,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f594]) ).
fof(f659,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f3,f657]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f431,f1]) ).
fof(f431,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f430]) ).
fof(f430,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f283]) ).
fof(f271,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(superposition,[],[f265,f34]) ).
fof(f265,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f253,f261]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1 ),
inference(superposition,[],[f62,f253]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f252,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f250]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f256,f1]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f251]) ).
fof(f1801,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1800,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1799,f448]) ).
fof(f448,plain,
( sk_c8 != sk_c7
| spl0_9 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1799,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1798,f1030]) ).
fof(f1798,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f590,f1795]) ).
fof(f1795,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1791,f1]) ).
fof(f1791,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1342,f1778]) ).
fof(f1797,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
fof(f1796,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1792,f444]) ).
fof(f444,plain,
( sk_c8 != inverse(identity)
| spl0_8 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl0_8
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1785,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f250,f251,f257,f253,f261,f265,f271,f24,f22,f438,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f1690,f6,f1691,f8,f1692,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f435,f439,f94,f440,f1054,f1704,f38,f436,f1045,f41,f1734,f1735,f1736,f1722,f1739,f1747,f1738,f1772,f1783]) ).
fof(f1783,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f1782,f1045]) ).
fof(f1782,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(subsumption_resolution,[],[f10,f41]) ).
fof(f436,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c7))
| ~ spl0_4 ),
inference(superposition,[],[f94,f2]) ).
fof(f440,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f437,f38]) ).
fof(f437,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f94,f261]) ).
fof(f94,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_4
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f439,plain,
( identity != sk_c8
| identity != inverse(inverse(sk_c7))
| ~ spl0_4 ),
inference(inner_rewriting,[],[f436]) ).
fof(f435,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f94,f1]) ).
fof(f438,plain,
( ! [X0,X1] :
( sk_c8 != multiply(X0,multiply(X1,sk_c7))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_4 ),
inference(superposition,[],[f94,f3]) ).
fof(f1780,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1779,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1778,f1762]) ).
fof(f1762,plain,
( identity != sk_c7
| ~ spl0_1
| spl0_10 ),
inference(superposition,[],[f1761,f4]) ).
fof(f1761,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| spl0_10 ),
inference(forward_demodulation,[],[f453,f1722]) ).
fof(f453,plain,
( identity != inverse(inverse(sk_c7))
| spl0_10 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl0_10
<=> identity = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1720,plain,
( spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| spl0_8
| ~ spl0_11 ),
inference(global_subsumption,[],[f32,f4,f1,f2,f34,f5,f3,f62,f33,f27,f12,f7,f24,f22,f444,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f29,f19,f9,f6,f8,f21,f11,f13,f16,f26,f887,f893,f973,f1023,f1081,f1100,f1155,f18,f23,f14,f28,f25,f15,f10,f20,f456,f1705,f1706,f1709,f1718]) ).
fof(f1718,plain,
( identity != inverse(identity)
| spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f444,f456]) ).
fof(f1709,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1707,f1]) ).
fof(f1707,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f62,f456]) ).
fof(f1706,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_11 ),
inference(superposition,[],[f34,f456]) ).
fof(f1705,plain,
( sk_c7 = inverse(identity)
| ~ spl0_11 ),
inference(superposition,[],[f4,f456]) ).
fof(f456,plain,
( identity = sk_c8
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1717,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1716]) ).
fof(f1716,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1712,f456]) ).
fof(f1712,plain,
( identity != sk_c8
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f448,f1327]) ).
fof(f1327,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f723,f776]) ).
fof(f776,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f443,f456]) ).
fof(f443,plain,
( sk_c8 = inverse(identity)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f723,plain,
( sk_c7 = inverse(identity)
| ~ spl0_11 ),
inference(superposition,[],[f4,f456]) ).
fof(f1687,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1686]) ).
fof(f1686,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f447,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45,f37]) ).
fof(f37,plain,
( sk_c8 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f9,f37]) ).
fof(f85,plain,
( sk_c8 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f83,f66]) ).
fof(f100,plain,
( sk_c8 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f79]) ).
fof(f152,plain,
( identity = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
( sk_c4 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f139]) ).
fof(f153,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( sk_c6 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f139]) ).
fof(f104,plain,
( identity = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f102,f34]) ).
fof(f102,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f99]) ).
fof(f139,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f122,f1]) ).
fof(f122,plain,
( sk_c7 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f79,f104]) ).
fof(f73,plain,
( sk_c4 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f67,f65]) ).
fof(f125,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f124,f104]) ).
fof(f124,plain,
( sk_c8 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f100]) ).
fof(f113,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f4,f104]) ).
fof(f80,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_2 ),
inference(superposition,[],[f62,f63]) ).
fof(f71,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f70,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f65]) ).
fof(f880,plain,
( identity = multiply(inverse(sk_c7),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f59,f65]) ).
fof(f923,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f886,f4]) ).
fof(f886,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f59,f63]) ).
fof(f1039,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1026,f4]) ).
fof(f1026,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f891,f42]) ).
fof(f1046,plain,
( sk_c7 = sk_c4
| ~ spl0_2 ),
inference(superposition,[],[f1030,f65]) ).
fof(f1055,plain,
( sk_c7 = sk_c4
| ~ spl0_2 ),
inference(superposition,[],[f65,f1030]) ).
fof(f1389,plain,
( sk_c7 = sk_c4
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1084,f4]) ).
fof(f1084,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_2 ),
inference(superposition,[],[f1044,f42]) ).
fof(f1384,plain,
( sk_c7 = sk_c4
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1140,f4]) ).
fof(f1140,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1111,f65]) ).
fof(f1111,plain,
inverse(sk_c8) = multiply(sk_c7,identity),
inference(superposition,[],[f62,f1029]) ).
fof(f1158,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1031,f42]) ).
fof(f1103,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f1029,f42]) ).
fof(f165,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f159,f104]) ).
fof(f159,plain,
( sk_c8 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f42,f152]) ).
fof(f149,plain,
( identity = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f142,f104]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f47,f139]) ).
fof(f138,plain,
( identity = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f137,f104]) ).
fof(f137,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f121,f85]) ).
fof(f121,plain,
( sk_c6 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f74,f104]) ).
fof(f120,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f104]) ).
fof(f133,plain,
( identity = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f132,f104]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f131,f85]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f118,f73]) ).
fof(f118,plain,
( sk_c6 = multiply(sk_c5,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f49,f104]) ).
fof(f128,plain,
( identity = multiply(identity,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f116,f73]) ).
fof(f116,plain,
( identity = multiply(identity,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f46,f104]) ).
fof(f115,plain,
( identity = multiply(identity,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f44,f104]) ).
fof(f108,plain,
( sk_c4 = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f100]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f100]) ).
fof(f106,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f47,f100]) ).
fof(f105,plain,
( identity = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f34,f100]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f99]) ).
fof(f101,plain,
( sk_c8 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f79,f99]) ).
fof(f99,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f78,f85]) ).
fof(f87,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f83]) ).
fof(f86,plain,
( sk_c8 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f83]) ).
fof(f83,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f79]) ).
fof(f84,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f47]) ).
fof(f78,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f74]) ).
fof(f63,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f44]) ).
fof(f77,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f49,f73]) ).
fof(f72,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl0_1 ),
inference(superposition,[],[f62,f48]) ).
fof(f65,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_2 ),
inference(superposition,[],[f62,f44]) ).
fof(f67,plain,
( sk_c5 = multiply(sk_c7,identity)
| spl0_1 ),
inference(superposition,[],[f62,f46]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f46]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f48]) ).
fof(f55,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f47]) ).
fof(f54,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f8,f37]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f37]) ).
fof(f47,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f37]) ).
fof(f46,plain,
( identity = multiply(sk_c8,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f45]) ).
fof(f44,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f1685,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1684]) ).
fof(f1684,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f651,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45,f37]) ).
fof(f651,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f594,f447]) ).
fof(f1683,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f948,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45,f37]) ).
fof(f948,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f947,f2]) ).
fof(f947,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f900,f447]) ).
fof(f1681,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1680]) ).
fof(f1680,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45,f37]) ).
fof(f1679,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1678,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45]) ).
fof(f1677,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1676]) ).
fof(f1676,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85]) ).
fof(f1675,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1674]) ).
fof(f1674,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100]) ).
fof(f1673,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152]) ).
fof(f1671,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1670,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153]) ).
fof(f1669,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104]) ).
fof(f1667,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1666]) ).
fof(f1666,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139]) ).
fof(f1665,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1664,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73]) ).
fof(f1663,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1662,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125]) ).
fof(f1661,plain,
( spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f594,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29]) ).
fof(f1659,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1658]) ).
fof(f1658,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f657,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29]) ).
fof(f1657,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1656,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29]) ).
fof(f1655,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1654,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19]) ).
fof(f1653,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1652,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80]) ).
fof(f1651,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1650,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9]) ).
fof(f1649,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71]) ).
fof(f1647,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1646,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6]) ).
fof(f1645,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1644,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8]) ).
fof(f1643,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1642]) ).
fof(f1642,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21]) ).
fof(f1641,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1640,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11]) ).
fof(f1639,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1638,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13]) ).
fof(f1637,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16]) ).
fof(f1635,plain,
( spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f597,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26]) ).
fof(f1633,plain,
( spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1632,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f598,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26]) ).
fof(f598,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f590]) ).
fof(f1631,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
fof(f1630,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26]) ).
fof(f1629,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1628]) ).
fof(f1628,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f452,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880]) ).
fof(f452,plain,
( identity = inverse(inverse(sk_c7))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f1627,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1626,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880]) ).
fof(f1625,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1624,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923]) ).
fof(f1623,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1622,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887]) ).
fof(f1621,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1620]) ).
fof(f1620,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893]) ).
fof(f1619,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973]) ).
fof(f1617,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1616,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023]) ).
fof(f1615,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1614,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039]) ).
fof(f1613,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1612,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046]) ).
fof(f1611,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1610,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055]) ).
fof(f1609,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1608,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081]) ).
fof(f1607,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1606]) ).
fof(f1606,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389]) ).
fof(f1605,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1604,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100]) ).
fof(f1603,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1602,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f28,f1103,f1158,f14,f23,f18,f1155,f1384]) ).
fof(f1601,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1600,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f28,f1103,f1158,f14,f23,f18,f1155]) ).
fof(f1599,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1598,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f28,f1103,f1158,f14,f23,f18]) ).
fof(f1597,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1596,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f28,f1103,f1158,f14,f23]) ).
fof(f1595,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1594,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f28,f1103,f1158,f14]) ).
fof(f1593,plain,
( spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1592,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1342,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f28,f1103,f1158]) ).
fof(f1591,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1590,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f28,f1103,f1158]) ).
fof(f1589,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1588,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f28,f1103]) ).
fof(f1587,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1586,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1585,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f950,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f950,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f949,f65]) ).
fof(f949,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f901,f4]) ).
fof(f901,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f59,f285]) ).
fof(f285,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f279]) ).
fof(f1583,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1582]) ).
fof(f1582,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1567,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1581,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1580,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f288,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f288,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f286,f65]) ).
fof(f286,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_6 ),
inference(superposition,[],[f62,f285]) ).
fof(f1579,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f985,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f985,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f984,f65]) ).
fof(f984,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f977,f4]) ).
fof(f977,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f875,f279]) ).
fof(f1577,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f279,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f457,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1575,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1574]) ).
fof(f1574,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f279,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1573,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1572,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f985,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1571,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1570,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f288,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1569,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1568,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1567,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1566,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1565,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f950,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1564,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1563,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103,f28]) ).
fof(f1562,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158,f1103]) ).
fof(f1560,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1559]) ).
fof(f1559,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14,f1158]) ).
fof(f1558,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f1342,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14]) ).
fof(f1556,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1555,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23,f14]) ).
fof(f1554,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1553]) ).
fof(f1553,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18,f23]) ).
fof(f1552,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1551,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155,f18]) ).
fof(f1550,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1549,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384,f1155]) ).
fof(f1548,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1547]) ).
fof(f1547,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100,f1384]) ).
fof(f1546,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389,f1100]) ).
fof(f1544,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1543,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081,f1389]) ).
fof(f1542,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1541,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055,f1081]) ).
fof(f1540,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1539,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046,f1055]) ).
fof(f1538,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f1537,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039,f1046]) ).
fof(f1536,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1535,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023,f1039]) ).
fof(f1534,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1533,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973,f1023]) ).
fof(f1532,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893,f973]) ).
fof(f1530,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1529,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887,f893]) ).
fof(f1528,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1527,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923,f887]) ).
fof(f1526,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880,f923]) ).
fof(f1524,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26,f880]) ).
fof(f1522,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f452,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26]) ).
fof(f1520,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16,f26]) ).
fof(f1518,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1517,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f598,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16]) ).
fof(f1516,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f597,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16]) ).
fof(f1514,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13,f16]) ).
fof(f1512,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11,f13]) ).
fof(f1510,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21,f11]) ).
fof(f1508,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8,f21]) ).
fof(f1506,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6,f8]) ).
fof(f1504,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71,f6]) ).
fof(f1502,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9,f71]) ).
fof(f1500,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80,f9]) ).
fof(f1498,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19,f80]) ).
fof(f1496,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29,f19]) ).
fof(f1494,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1493,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125,f29]) ).
fof(f1492,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(global_subsumption,[],[f657,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125]) ).
fof(f1490,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1489,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_13 ),
inference(global_subsumption,[],[f594,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125]) ).
fof(f1488,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f37,f45,f85,f100,f152,f153,f104,f139,f73,f125]) ).
fof(f1486,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1485]) ).
fof(f1485,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f37,f45,f85,f100,f152,f153,f104,f139,f73]) ).
fof(f1484,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1483,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f37,f45,f85,f100,f152,f153,f104,f139]) ).
fof(f1482,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1481,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f37,f45,f85,f100,f152,f153,f104]) ).
fof(f1480,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f37,f45,f85,f100,f152,f153]) ).
fof(f1478,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f37,f45,f85,f100,f152]) ).
fof(f1476,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1475,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f37,f45,f85,f100]) ).
fof(f1474,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f37,f45,f85]) ).
fof(f1472,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f37,f45]) ).
fof(f1470,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f65,f66,f72,f74,f77,f63,f78,f79,f84,f83,f86,f87,f33,f99,f101,f103,f105,f106,f107,f108,f115,f128,f133,f120,f138,f149,f165,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f448,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f1103,f1158,f14,f23,f18,f1155,f1384,f1100,f1389,f1081,f1055,f1046,f1039,f1023,f973,f893,f887,f923,f880,f26,f16,f13,f11,f21,f8,f6,f71,f9,f80,f19,f29,f125,f73,f139,f104,f153,f152,f100,f85,f45,f37]) ).
fof(f1468,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1467,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29,f45,f37]) ).
fof(f278,plain,
( sk_c8 != inverse(sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f1466,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1465]) ).
fof(f1465,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29,f45]) ).
fof(f1464,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1463]) ).
fof(f1463,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f85,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1462,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1461,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f100,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1460,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1459]) ).
fof(f1459,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f152,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1458,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f153,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1456,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f104,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1454,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f139,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1452,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f73,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1450,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f125,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1448,plain,
( spl0_1
| spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1447,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_13 ),
inference(global_subsumption,[],[f594,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1446,plain,
( spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1445]) ).
fof(f1445,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(global_subsumption,[],[f657,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1444,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19,f29]) ).
fof(f1442,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278,f19]) ).
fof(f1440,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9,f278]) ).
fof(f1438,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f80,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9]) ).
fof(f1436,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1435,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6,f9]) ).
fof(f1434,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f71,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6]) ).
fof(f1432,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8,f6]) ).
fof(f1430,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1429,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21,f8]) ).
fof(f1428,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11,f21]) ).
fof(f1426,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13,f11]) ).
fof(f1424,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1423,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16,f13]) ).
fof(f1422,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26,f16]) ).
fof(f1420,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f597,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26]) ).
fof(f1418,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f598,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26]) ).
fof(f1416,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1415]) ).
fof(f1415,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887,f26]) ).
fof(f1414,plain,
( spl0_1
| spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_10 ),
inference(global_subsumption,[],[f452,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887]) ).
fof(f1412,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1411,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f880,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887]) ).
fof(f1410,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f923,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887]) ).
fof(f1408,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893,f887]) ).
fof(f1406,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1405,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973,f893]) ).
fof(f1404,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023,f973]) ).
fof(f1401,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081,f1023]) ).
fof(f1399,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1039,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081]) ).
fof(f1397,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1046,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081]) ).
fof(f1395,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
fof(f1394,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1055,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081]) ).
fof(f1393,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1392,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100,f1081]) ).
fof(f1391,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1389,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100]) ).
fof(f1388,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155,f1100]) ).
fof(f1386,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1385,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1384,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155]) ).
fof(f1382,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1381]) ).
fof(f1381,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18,f1155]) ).
fof(f1380,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23,f18]) ).
fof(f1378,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
fof(f1377,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14,f23]) ).
fof(f1376,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f23,f21,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28,f14]) ).
fof(f1374,plain,
( spl0_1
| spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_12 ),
inference(global_subsumption,[],[f1342,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28]) ).
fof(f1372,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1158,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28]) ).
fof(f1370,plain,
( spl0_1
| ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f1103,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28]) ).
fof(f1368,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f37,f45,f46,f47,f48,f49,f3,f54,f55,f57,f64,f62,f67,f66,f72,f33,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f19,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f278,f28]) ).
fof(f1366,plain,
( spl0_6
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| spl0_6
| spl0_13 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f3,f62,f33,f28,f27,f26,f18,f16,f13,f12,f11,f23,f21,f14,f8,f7,f6,f9,f24,f22,f17,f59,f877,f875,f987,f978,f995,f1016,f891,f1033,f1034,f1036,f1037,f1030,f1073,f1053,f1079,f1044,f1091,f1092,f1029,f1108,f1151,f1121,f1031,f1170,f1182,f29,f1336,f19,f1337,f1171,f1167,f1109,f1105,f1353,f1057,f1354,f1048,f997,f994,f874,f593,f278]) ).
fof(f1331,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1329,f456]) ).
fof(f1329,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f448,f768]) ).
fof(f768,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f733,f1]) ).
fof(f733,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f464,f456]) ).
fof(f464,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f253,f460]) ).
fof(f460,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f459,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f11,f254]) ).
fof(f254,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f251,f65]) ).
fof(f1264,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1257,f1044]) ).
fof(f1257,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1256]) ).
fof(f1256,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1252,f1029]) ).
fof(f1252,plain,
( ! [X8] :
( identity != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1251,f456]) ).
fof(f1251,plain,
( ! [X8] :
( sk_c8 != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1250,f447]) ).
fof(f1250,plain,
( ! [X8] :
( sk_c7 != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1249,f1030]) ).
fof(f1249,plain,
( ! [X8] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1248,f456]) ).
fof(f1248,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f456]) ).
fof(f97,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_5
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1260,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1258,f776]) ).
fof(f1258,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1254]) ).
fof(f1254,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1252,f1030]) ).
fof(f1247,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1245,f1]) ).
fof(f1245,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1220,f456]) ).
fof(f1220,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f279]) ).
fof(f1213,plain,
( ! [X4] : identity != multiply(inverse(X4),identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1021,f1029]) ).
fof(f1021,plain,
( ! [X4] :
( identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1020,f456]) ).
fof(f1020,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1019,f447]) ).
fof(f1019,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1018,f456]) ).
fof(f1018,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1017,f447]) ).
fof(f1017,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f91,f456]) ).
fof(f1244,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1243,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1242,f1]) ).
fof(f1242,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1219,f456]) ).
fof(f1219,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f42]) ).
fof(f1241,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1240,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1239,f1]) ).
fof(f1239,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1218,f456]) ).
fof(f1218,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f38]) ).
fof(f1238,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1236,f1]) ).
fof(f1236,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1217,f456]) ).
fof(f1217,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f507]) ).
fof(f507,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f38,f505]) ).
fof(f505,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f503,f464]) ).
fof(f503,plain,
( sk_c1 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f253,f486]) ).
fof(f486,plain,
( sk_c8 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f477,f271]) ).
fof(f477,plain,
( multiply(sk_c8,identity) = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f251]) ).
fof(f465,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f460]) ).
fof(f1235,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1233,f1]) ).
fof(f1233,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1232,f456]) ).
fof(f1232,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1216,f447]) ).
fof(f1216,plain,
( identity != multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f4]) ).
fof(f1231,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1214,f1]) ).
fof(f1214,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f776]) ).
fof(f1229,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1223]) ).
fof(f1223,plain,
( identity != identity
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f2]) ).
fof(f1227,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1226,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1224]) ).
fof(f1224,plain,
( identity != identity
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1213,f978]) ).
fof(f970,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(subsumption_resolution,[],[f962,f844]) ).
fof(f844,plain,
( identity != multiply(sk_c2,sk_c3)
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(forward_demodulation,[],[f843,f456]) ).
fof(f843,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl0_9
| spl0_13 ),
inference(forward_demodulation,[],[f593,f447]) ).
fof(f962,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f890]) ).
fof(f968,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_13 ),
inference(subsumption_resolution,[],[f959,f844]) ).
fof(f959,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f890,f2]) ).
fof(f739,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f737,f444]) ).
fof(f737,plain,
( sk_c8 = inverse(identity)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f723,f447]) ).
fof(f694,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f279,f285,f290,f289,f295,f297,f299,f298,f300,f301,f296,f303,f304,f306,f307,f311,f317,f314,f315,f316,f318,f319,f331,f332,f334,f323,f335,f325,f336,f340,f330,f337,f355,f357,f358,f365,f372,f428,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f457,f378,f352,f351,f282]) ).
fof(f351,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f65,f337]) ).
fof(f352,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f344,f1]) ).
fof(f344,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f251,f337]) ).
fof(f378,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f318,f337]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f261]) ).
fof(f544,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f484]) ).
fof(f550,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f549,f261]) ).
fof(f549,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f538,f254]) ).
fof(f538,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f484,f63]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f537,f261]) ).
fof(f537,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f484,f253]) ).
fof(f536,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f484,f265]) ).
fof(f484,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f253,f465]) ).
fof(f518,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f493,f65]) ).
fof(f520,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f493]) ).
fof(f493,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f490,f261]) ).
fof(f513,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f490,f505]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f505]) ).
fof(f502,plain,
( sk_c8 = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f261,f486]) ).
fof(f501,plain,
( sk_c8 = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f486,f261]) ).
fof(f498,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f495]) ).
fof(f495,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f253,f490]) ).
fof(f494,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f261,f490]) ).
fof(f490,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f480,f464]) ).
fof(f480,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f34]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f261,f465]) ).
fof(f481,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f461]) ).
fof(f489,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f479,f261]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f62]) ).
fof(f488,plain,
( sk_c8 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f487,f271]) ).
fof(f487,plain,
( multiply(sk_c8,identity) = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f478,f254]) ).
fof(f478,plain,
( multiply(sk_c8,identity) = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f465,f65]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f461]) ).
fof(f461,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f460,f261]) ).
fof(f474,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f464]) ).
fof(f473,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f464]) ).
fof(f463,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f261,f460]) ).
fof(f429,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f21,f254]) ).
fof(f428,plain,
( sk_c6 = multiply(sk_c1,sk_c8)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f23,f289]) ).
fof(f372,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f366,f316]) ).
fof(f366,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f38,f352]) ).
fof(f365,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f361,f316]) ).
fof(f361,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f42,f351]) ).
fof(f358,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f254,f351]) ).
fof(f357,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f351,f254]) ).
fof(f355,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f346,f316]) ).
fof(f346,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f295,f337]) ).
fof(f337,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f328,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f298,f316]) ).
fof(f330,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f311,f316]) ).
fof(f340,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f339,f316]) ).
fof(f339,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f329,f307]) ).
fof(f329,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f304,f316]) ).
fof(f336,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f327,f289]) ).
fof(f327,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f285,f316]) ).
fof(f325,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f265,f316]) ).
fof(f335,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f324,f261]) ).
fof(f324,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f253,f316]) ).
fof(f323,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f250,f316]) ).
fof(f334,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f333,f261]) ).
fof(f333,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f322,f254]) ).
fof(f322,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f63,f316]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f321,f1]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f62,f316]) ).
fof(f331,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f320,f254]) ).
fof(f320,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f44,f316]) ).
fof(f319,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f34,f316]) ).
fof(f318,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f4,f316]) ).
fof(f316,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f312,f34]) ).
fof(f312,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f311,f261]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f3,f311]) ).
fof(f314,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f253,f311]) ).
fof(f317,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f313,f34]) ).
fof(f313,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f261,f311]) ).
fof(f311,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f310,f307]) ).
fof(f310,plain,
( sk_c6 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f309,f289]) ).
fof(f309,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(subsumption_resolution,[],[f23,f282]) ).
fof(f307,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f305,f296]) ).
fof(f305,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl0_7 ),
inference(superposition,[],[f62,f304]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f3,f296]) ).
fof(f296,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f295,f261]) ).
fof(f301,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f3,f298]) ).
fof(f300,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f62,f298]) ).
fof(f298,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f253,f295]) ).
fof(f299,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f3,f295]) ).
fof(f297,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f261,f295]) ).
fof(f295,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f294,f254]) ).
fof(f294,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_7 ),
inference(subsumption_resolution,[],[f21,f282]) ).
fof(f289,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f288,f254]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f287,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f285]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f80,f254]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f254]) ).
fof(f255,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f251]) ).
fof(f692,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(subsumption_resolution,[],[f337,f516]) ).
fof(f516,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f514,f4]) ).
fof(f514,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f453,f507]) ).
fof(f690,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f279,f282,f285,f290,f289,f295,f297,f299,f298,f300,f301,f296,f303,f304,f306,f307,f311,f317,f314,f315,f316,f318,f319,f331,f332,f334,f323,f335,f325,f336,f340,f330,f337,f355,f357,f358,f365,f372,f428,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f457,f378,f352,f351]) ).
fof(f688,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f279,f282,f285,f290,f289,f295,f297,f299,f298,f300,f301,f296,f303,f304,f306,f307,f311,f317,f314,f315,f316,f318,f319,f331,f332,f334,f323,f335,f325,f336,f340,f330,f337,f355,f351,f357,f358,f365,f372,f428,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f457,f378,f352]) ).
fof(f686,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f316,f457]) ).
fof(f684,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f279,f282,f285,f290,f289,f295,f297,f299,f298,f300,f301,f296,f303,f304,f306,f307,f311,f317,f314,f315,f316,f318,f319,f331,f332,f334,f323,f335,f325,f336,f340,f330,f337,f355,f351,f357,f358,f365,f352,f372,f428,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f457,f378]) ).
fof(f682,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f680,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f279,f282,f285,f290,f289,f295,f297,f299,f298,f300,f301,f296,f303,f304,f306,f307,f311,f317,f314,f315,f316,f318,f319,f331,f332,f334,f323,f335,f325,f336,f340,f330,f337,f355,f351,f357,f358,f365,f352,f372,f378,f428,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f457]) ).
fof(f680,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f679,f457]) ).
fof(f679,plain,
( identity = sk_c8
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f678,f600]) ).
fof(f600,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f597,f461]) ).
fof(f678,plain,
( identity = sk_c6
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f677,f34]) ).
fof(f677,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f428,f505]) ).
fof(f676,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f670,f448]) ).
fof(f670,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f594,f666]) ).
fof(f666,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f662,f461]) ).
fof(f662,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f658,f657]) ).
fof(f674,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f669,f448]) ).
fof(f669,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f666,f594]) ).
fof(f655,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f22,f429,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f447,f618,f619,f632,f633,f622,f637,f625,f639,f627,f629,f630,f457]) ).
fof(f630,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f507,f447]) ).
fof(f629,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f495,f447]) ).
fof(f627,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f482,f447]) ).
fof(f639,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f638,f62]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f626,f505]) ).
fof(f626,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f465,f447]) ).
fof(f625,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f461,f447]) ).
fof(f637,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f636,f34]) ).
fof(f636,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f624,f505]) ).
fof(f624,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f460,f447]) ).
fof(f622,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f265,f447]) ).
fof(f633,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f621,f271]) ).
fof(f621,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f251,f447]) ).
fof(f632,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f620,f271]) ).
fof(f620,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f65,f447]) ).
fof(f619,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_9 ),
inference(superposition,[],[f62,f447]) ).
fof(f618,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f34,f447]) ).
fof(f653,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f652,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f651,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f22,f429,f457,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f447,f618,f619,f632,f633,f622,f637,f625,f639,f627,f629,f630]) ).
fof(f650,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f648,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f22,f429,f457,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f447,f618,f619,f632,f633,f622,f637,f625,f639,f627,f629,f630]) ).
fof(f648,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f647,f447]) ).
fof(f647,plain,
( identity = sk_c8
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f646,f600]) ).
fof(f646,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f645,f34]) ).
fof(f645,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f644,f261]) ).
fof(f644,plain,
( sk_c6 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f18,f289]) ).
fof(f643,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f631,f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f22,f429,f457,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f447,f618,f619,f632,f633,f622,f637,f625,f639,f627,f629,f630]) ).
fof(f631,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_10 ),
inference(superposition,[],[f516,f447]) ).
fof(f641,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f20,f15,f25,f10,f32,f4,f1,f2,f34,f5,f42,f44,f3,f59,f62,f65,f63,f33,f71,f80,f28,f27,f26,f18,f16,f13,f12,f11,f29,f23,f21,f19,f14,f8,f7,f6,f9,f38,f250,f251,f255,f257,f254,f258,f253,f264,f261,f265,f271,f24,f22,f429,f453,f460,f463,f464,f473,f474,f461,f476,f465,f488,f489,f481,f483,f490,f494,f495,f498,f486,f501,f502,f505,f511,f513,f507,f514,f516,f493,f520,f518,f484,f536,f548,f550,f544,f482,f17,f456,f447,f618,f619,f632,f633,f622,f637,f625,f639,f627,f629,f630,f631]) ).
fof(f617,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_9
| ~ spl0_12
| spl0_13 ),
inference(subsumption_resolution,[],[f615,f448]) ).
fof(f615,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f610,f271]) ).
fof(f610,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f590,f607]) ).
fof(f607,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f606,f34]) ).
fof(f606,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f605,f505]) ).
fof(f605,plain,
( sk_c6 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f604,f289]) ).
fof(f614,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(subsumption_resolution,[],[f609,f457]) ).
fof(f609,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f600,f607]) ).
fof(f612,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(subsumption_resolution,[],[f608,f457]) ).
fof(f608,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f607,f600]) ).
fof(f595,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f592,f588]) ).
fof(f472,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f463,f440]) ).
fof(f470,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f466,f38]) ).
fof(f466,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f94,f460]) ).
fof(f468,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f461,f440]) ).
fof(f458,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f439,f93,f455,f451]) ).
fof(f449,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f435,f93,f446,f442]) ).
fof(f427,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f425,f378]) ).
fof(f425,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f424,f352]) ).
fof(f424,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f423,f1]) ).
fof(f423,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f402,f337]) ).
fof(f402,plain,
( identity != multiply(sk_c7,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f261]) ).
fof(f389,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f388,f316]) ).
fof(f388,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f387,f337]) ).
fof(f387,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f94,f316]) ).
fof(f422,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f420,f378]) ).
fof(f420,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f404,f378]) ).
fof(f404,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(trivial_inequality_removal,[],[f401]) ).
fof(f401,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f2]) ).
fof(f419,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f405,f378]) ).
fof(f405,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(trivial_inequality_removal,[],[f400]) ).
fof(f400,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f1]) ).
fof(f417,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f415,f378]) ).
fof(f415,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f414,f316]) ).
fof(f414,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f399,f316]) ).
fof(f399,plain,
( identity != sk_c8
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f271]) ).
fof(f413,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f411,f378]) ).
fof(f411,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f410,f337]) ).
fof(f410,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f398,f351]) ).
fof(f398,plain,
( identity != sk_c4
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f65]) ).
fof(f409,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f408,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f407,f378]) ).
fof(f407,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f406,f337]) ).
fof(f406,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f397,f352]) ).
fof(f397,plain,
( identity != sk_c1
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f389,f251]) ).
fof(f284,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f24,f281,f277]) ).
fof(f249,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f247,f125]) ).
fof(f247,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f238,f125]) ).
fof(f238,plain,
( identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f236,plain,
( identity != identity
| identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f231,f2]) ).
fof(f231,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f230,f104]) ).
fof(f230,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f229,f100]) ).
fof(f229,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f94,f104]) ).
fof(f246,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f239,f125]) ).
fof(f239,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f235]) ).
fof(f235,plain,
( identity != identity
| identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f231,f1]) ).
fof(f244,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f242,f125]) ).
fof(f242,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f241,f104]) ).
fof(f241,plain,
( identity != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f240,f100]) ).
fof(f240,plain,
( identity != inverse(sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f234,f152]) ).
fof(f234,plain,
( identity != sk_c4
| identity != inverse(sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f231,f65]) ).
fof(f228,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f226,f1]) ).
fof(f226,plain,
( identity != multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f199,f125]) ).
fof(f199,plain,
( identity != multiply(identity,inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f198]) ).
fof(f198,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f177,f2]) ).
fof(f177,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f176,f104]) ).
fof(f176,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f175,f100]) ).
fof(f175,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f174,f104]) ).
fof(f174,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f173,f100]) ).
fof(f173,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),identity)
| sk_c7 != multiply(X4,inverse(X4)) )
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f91,f104]) ).
fof(f225,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f223,f1]) ).
fof(f223,plain,
( identity != multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f222,f152]) ).
fof(f222,plain,
( identity != multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f221,f73]) ).
fof(f221,plain,
( identity != multiply(sk_c5,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f220,f104]) ).
fof(f220,plain,
( identity != multiply(sk_c5,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f219,f45]) ).
fof(f219,plain,
( identity != multiply(sk_c5,inverse(sk_c5))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f218,f1]) ).
fof(f218,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c5,inverse(sk_c5))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f197,f104]) ).
fof(f197,plain,
( identity != multiply(sk_c8,identity)
| identity != multiply(sk_c5,inverse(sk_c5))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f177,f45]) ).
fof(f217,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f215,f1]) ).
fof(f215,plain,
( identity != multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f214,f152]) ).
fof(f214,plain,
( identity != multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f213,f104]) ).
fof(f213,plain,
( identity != multiply(sk_c4,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f212,f42]) ).
fof(f212,plain,
( identity != multiply(sk_c4,inverse(sk_c4))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f211,f1]) ).
fof(f211,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c4,inverse(sk_c4))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f196,f104]) ).
fof(f196,plain,
( identity != multiply(sk_c8,identity)
| identity != multiply(sk_c4,inverse(sk_c4))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f177,f42]) ).
fof(f210,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f208,f1]) ).
fof(f208,plain,
( identity != multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f207,f104]) ).
fof(f207,plain,
( identity != multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f206,f100]) ).
fof(f206,plain,
( identity != multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f205,f4]) ).
fof(f205,plain,
( identity != multiply(sk_c8,inverse(sk_c8))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f204,f152]) ).
fof(f204,plain,
( identity != sk_c4
| identity != multiply(sk_c8,inverse(sk_c8))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f195,f65]) ).
fof(f195,plain,
( identity != multiply(sk_c7,identity)
| identity != multiply(sk_c8,inverse(sk_c8))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f177,f4]) ).
fof(f203,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f201,f1]) ).
fof(f201,plain,
( identity != multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f200,f125]) ).
fof(f200,plain,
( identity != multiply(identity,inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f194,f1]) ).
fof(f194,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f177,f125]) ).
fof(f98,plain,
( spl0_3
| spl0_4
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f96,f93,f93,f90]) ).
fof(f43,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f40,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:17:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27949)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27953)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (27952)WARNING: value z3 for option sas not known
% 0.13/0.37 % (27954)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)
% 0.13/0.37 % (27955)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)
% 0.13/0.37 % (27951)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (27956)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)
% 0.13/0.37 % (27952)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (27950)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.19/0.39 TRYING [5]
% 0.19/0.40 TRYING [4]
% 0.19/0.42 TRYING [6]
% 0.19/0.42 % (27952)First to succeed.
% 0.19/0.44 TRYING [5]
% 0.19/0.45 % (27952)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (27952)------------------------------
% 0.19/0.46 % (27952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.46 % (27952)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (27952)Memory used [KB]: 1772
% 0.19/0.46 % (27952)Time elapsed: 0.076 s
% 0.19/0.46 % (27952)Instructions burned: 158 (million)
% 0.19/0.46 % (27952)------------------------------
% 0.19/0.46 % (27952)------------------------------
% 0.19/0.46 % (27949)Success in time 0.099 s
%------------------------------------------------------------------------------