TSTP Solution File: ARI065_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI065_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 18:49:21 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 910 ( 587 unt; 1 typ; 0 def)
% Number of atoms : 1272 ( 205 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 870 ( 507 ~; 356 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 5506 (1066 atm;1941 fun;1245 num;1254 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 1 usr; 27 con; 0-2 aty)
% Number of variables : 1254 (1252 !; 2 ?;1254 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1914,plain,
$false,
inference(global_subsumption,[],[f19,f8,f18,f5,f13,f7,f20,f3,f12,f34,f32,f38,f37,f36,f14,f51,f53,f33,f62,f50,f75,f76,f77,f83,f86,f49,f89,f90,f55,f94,f95,f61,f70,f103,f104,f9,f106,f108,f109,f110,f111,f112,f113,f114,f115,f107,f116,f117,f119,f120,f121,f122,f123,f125,f118,f137,f134,f133,f151,f150,f149,f136,f153,f160,f156,f161,f138,f176,f174,f170,f10,f179,f180,f181,f182,f183,f184,f189,f190,f192,f193,f194,f195,f196,f197,f202,f203,f159,f206,f173,f224,f223,f222,f175,f226,f232,f177,f247,f244,f6,f253,f256,f257,f231,f265,f243,f283,f282,f281,f245,f285,f291,f246,f306,f303,f11,f311,f313,f318,f319,f320,f325,f326,f327,f290,f331,f302,f350,f349,f348,f304,f352,f358,f305,f373,f370,f357,f375,f4,f383,f384,f414,f388,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f369,f432,f431,f430,f428,f371,f434,f440,f372,f455,f452,f439,f457,f462,f314,f465,f466,f467,f469,f471,f472,f473,f451,f488,f487,f486,f484,f453,f490,f496,f454,f511,f508,f495,f513,f518,f321,f520,f521,f522,f524,f507,f540,f539,f538,f536,f509,f542,f548,f510,f563,f560,f547,f565,f570,f559,f586,f585,f584,f582,f385,f589,f590,f591,f592,f594,f595,f596,f602,f603,f604,f601,f605,f561,f607,f613,f562,f628,f625,f612,f630,f635,f415,f637,f639,f640,f641,f645,f647,f648,f651,f685,f684,f683,f661,f682,f694,f699,f697,f706,f698,f707,f713,f686,f725,f691,f730,f735,f733,f742,f692,f750,f687,f755,f760,f758,f767,f688,f775,f316,f780,f781,f782,f783,f785,f786,f787,f789,f724,f801,f734,f803,f809,f749,f822,f680,f824,f829,f827,f836,f681,f844,f759,f849,f855,f323,f860,f861,f862,f864,f865,f866,f868,f774,f881,f689,f883,f888,f886,f895,f690,f903,f828,f908,f914,f843,f927,f678,f929,f934,f932,f941,f248,f962,f945,f946,f947,f963,f965,f953,f955,f956,f957,f966,f960,f968,f970,f971,f972,f973,f974,f967,f980,f981,f982,f976,f983,f985,f984,f986,f977,f988,f991,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1001,f1022,f1023,f249,f1047,f1049,f1029,f1030,f1046,f1051,f1052,f1038,f1040,f1053,f1042,f1043,f1054,f1002,f1055,f1056,f1003,f1057,f1058,f1004,f1059,f1060,f1005,f1061,f1062,f1006,f1063,f1064,f1007,f1065,f1066,f252,f1067,f1095,f1098,f1070,f1071,f1072,f1073,f1078,f1081,f1084,f1085,f1086,f1087,f1088,f1008,f1105,f1106,f989,f1107,f1108,f679,f1128,f887,f1133,f1140,f902,f1154,f676,f1157,f1163,f1160,f1170,f677,f1178,f933,f1183,f1190,f1127,f1203,f674,f1205,f1211,f1208,f1218,f675,f1226,f1162,f1231,f1238,f1177,f1251,f624,f1268,f1267,f1266,f1264,f626,f1271,f1275,f627,f1297,f1290,f1288,f1298,f1299,f672,f1300,f1306,f1303,f1313,f673,f1321,f1210,f1326,f1333,f1225,f1346,f1274,f1349,f1354,f1279,f1356,f1362,f1359,f1369,f1289,f1385,f1384,f1383,f1381,f317,f1406,f1408,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1419,f1420,f1421,f1422,f1423,f1424,f1438,f1427,f1428,f1439,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1294,f1447,f1295,f1453,f1457,f1296,f1480,f1472,f1473,f1471,f1481,f1482,f1305,f1483,f1490,f1320,f1504,f1361,f1506,f1513,f1446,f1527,f1456,f1530,f1535,f1461,f1537,f1543,f1540,f1550,f1462,f1566,f1565,f1564,f1562,f324,f1579,f1592,f1593,f1594,f1622,f1597,f1598,f1623,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1617,f1618,f1619,f1620,f1477,f1631,f1632,f1478,f1638,f1642,f1479,f1665,f1664,f1663,f1657,f1658,f1662,f1656,f1666,f1667,f1542,f1668,f1675,f1628,f1689,f1641,f1692,f1697,f1646,f1699,f1704,f1705,f1702,f1712,f1647,f1729,f1728,f1727,f1725,f390,f1731,f1732,f1831,f1832,f1739,f1824,f1823,f1821,f1746,f1748,f1749,f1834,f1837,f1839,f1756,f1757,f1758,f1840,f1760,f1841,f1763,f1764,f1843,f1766,f1767,f1768,f1769,f1770,f1772,f1773,f1774,f1845,f1817,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1827,f1861,f1853,f1854,f1855,f1856,f1857,f1858,f1848,f1863,f1865,f1864,f1866,f1849,f1869,f1862,f1872,f1867,f1874,f1875,f1822,f1892,f1884,f1885,f1886,f1887,f1888,f1889,f1826,f1893,f1894,f1909,f1907,f1899,f1900,f1901,f1902,f1903,f1904,f1908,f1913]) ).
tff(f1913,plain,
$less(3,sK0),
inference(subsumption_resolution,[],[f1911,f19]) ).
tff(f1911,plain,
( $less(3,sK0)
| ( 3 = sK0 ) ),
inference(resolution,[],[f1908,f10]) ).
tff(f1908,plain,
~ $less(sK0,3),
inference(evaluation,[],[f1897]) ).
tff(f1897,plain,
( $less(0,0)
| ~ $less(sK0,3) ),
inference(superposition,[],[f316,f1826]) ).
tff(f1904,plain,
! [X0: $int] :
( $less(0,$sum($uminus(sK0),X0))
| ~ $less(3,X0) ),
inference(superposition,[],[f324,f1826]) ).
tff(f1903,plain,
! [X0: $int] :
( $less($sum(X0,3),0)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f324,f1826]) ).
tff(f1902,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),0)
| ~ $less(X0,3) ),
inference(superposition,[],[f317,f1826]) ).
tff(f1901,plain,
! [X0: $int] :
( $less(0,$sum(X0,3))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f317,f1826]) ).
tff(f1900,plain,
! [X0: $int] :
( $less(0,$sum(X0,$uminus(sK0)))
| ~ $less(3,X0) ),
inference(superposition,[],[f11,f1826]) ).
tff(f1899,plain,
! [X0: $int] :
( $less($sum(X0,$uminus(sK0)),0)
| ~ $less(X0,3) ),
inference(superposition,[],[f11,f1826]) ).
tff(f1907,plain,
! [X0: $int] : ( $sum(3,$sum($uminus(sK0),X0)) = X0 ),
inference(evaluation,[],[f1898]) ).
tff(f1898,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(3,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f4,f1826]) ).
tff(f1909,plain,
~ $less(3,sK0),
inference(evaluation,[],[f1896]) ).
tff(f1896,plain,
( $less(0,0)
| ~ $less(3,sK0) ),
inference(superposition,[],[f323,f1826]) ).
tff(f1894,plain,
$less($uminus(sK0),0),
inference(superposition,[],[f175,f1826]) ).
tff(f1893,plain,
~ $less(0,$uminus(sK0)),
inference(superposition,[],[f177,f1826]) ).
tff(f1826,plain,
0 = $sum(3,$uminus(sK0)),
inference(evaluation,[],[f1740]) ).
tff(f1740,plain,
0 = $sum(5,$sum($uminus(sK0),$uminus(2))),
inference(superposition,[],[f390,f596]) ).
tff(f1889,plain,
! [X0: $int] :
( $less(0,$sum(-3,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f324,f1822]) ).
tff(f1888,plain,
! [X0: $int] :
( $less($sum(X0,sK0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f324,f1822]) ).
tff(f1887,plain,
! [X0: $int] :
( $less($sum(-3,X0),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f317,f1822]) ).
tff(f1886,plain,
! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f317,f1822]) ).
tff(f1885,plain,
! [X0: $int] :
( $less(0,$sum(X0,-3))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f11,f1822]) ).
tff(f1884,plain,
! [X0: $int] :
( $less($sum(X0,-3),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f11,f1822]) ).
tff(f1892,plain,
! [X0: $int] : ( $sum(sK0,$sum(-3,X0)) = X0 ),
inference(evaluation,[],[f1883]) ).
tff(f1883,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(sK0,$sum(-3,X0)) ),
inference(superposition,[],[f4,f1822]) ).
tff(f1822,plain,
0 = $sum(sK0,-3),
inference(evaluation,[],[f1744]) ).
tff(f1744,plain,
0 = $sum(sK0,$sum(-5,$uminus(-2))),
inference(superposition,[],[f390,f960]) ).
tff(f1875,plain,
( $less(1,sK0)
| ( 1 = sK0 ) ),
inference(resolution,[],[f1867,f10]) ).
tff(f1874,plain,
( $less(1,sK0)
| ( 1 = sK0 ) ),
inference(resolution,[],[f1867,f10]) ).
tff(f1867,plain,
~ $less(sK0,1),
inference(resolution,[],[f1849,f77]) ).
tff(f1872,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less(X0,sK0) ),
inference(resolution,[],[f1862,f9]) ).
tff(f1862,plain,
$less(-1,sK0),
inference(resolution,[],[f1848,f36]) ).
tff(f1869,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK0) ),
inference(resolution,[],[f1849,f9]) ).
tff(f1849,plain,
$less(0,sK0),
inference(superposition,[],[f687,f1827]) ).
tff(f1866,plain,
$less(0,sK0),
inference(global_subsumption,[],[f19,f8,f18,f5,f13,f7,f20,f3,f12,f34,f32,f38,f37,f36,f14,f51,f53,f33,f62,f50,f75,f76,f77,f83,f86,f49,f89,f90,f55,f94,f95,f61,f70,f103,f104,f9,f106,f108,f109,f110,f111,f112,f113,f114,f115,f107,f116,f117,f119,f120,f121,f122,f123,f125,f118,f137,f134,f133,f151,f150,f149,f136,f153,f160,f156,f161,f138,f176,f174,f170,f10,f179,f180,f181,f182,f183,f184,f189,f190,f192,f193,f194,f195,f196,f197,f202,f203,f159,f206,f173,f224,f223,f222,f175,f226,f232,f177,f247,f244,f6,f253,f256,f257,f231,f265,f243,f283,f282,f281,f245,f285,f291,f246,f306,f303,f11,f311,f313,f318,f319,f320,f325,f326,f327,f290,f331,f302,f350,f349,f348,f304,f352,f358,f305,f373,f370,f357,f375,f4,f383,f384,f414,f388,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f369,f432,f431,f430,f428,f371,f434,f440,f372,f455,f452,f439,f457,f462,f314,f465,f466,f467,f469,f471,f472,f473,f451,f488,f487,f486,f484,f453,f490,f496,f454,f511,f508,f495,f513,f518,f321,f520,f521,f522,f524,f507,f540,f539,f538,f536,f509,f542,f548,f510,f563,f560,f547,f565,f570,f559,f586,f585,f584,f582,f385,f589,f590,f591,f592,f594,f595,f596,f602,f603,f604,f601,f605,f561,f607,f613,f562,f628,f625,f612,f630,f635,f415,f637,f639,f640,f641,f645,f647,f648,f651,f685,f684,f683,f661,f682,f694,f699,f697,f706,f698,f707,f713,f686,f725,f691,f730,f735,f733,f742,f692,f750,f687,f755,f760,f758,f767,f688,f775,f316,f780,f781,f782,f783,f785,f786,f787,f789,f724,f801,f734,f803,f809,f749,f822,f680,f824,f829,f827,f836,f681,f844,f759,f849,f855,f323,f860,f861,f862,f864,f865,f866,f868,f774,f881,f689,f883,f888,f886,f895,f690,f903,f828,f908,f914,f843,f927,f678,f929,f934,f932,f941,f248,f962,f945,f946,f947,f963,f965,f953,f955,f956,f957,f966,f960,f968,f970,f971,f972,f973,f974,f967,f980,f981,f982,f976,f983,f985,f984,f986,f977,f988,f991,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1001,f1022,f1023,f249,f1047,f1049,f1029,f1030,f1046,f1051,f1052,f1038,f1040,f1053,f1042,f1043,f1054,f1002,f1055,f1056,f1003,f1057,f1058,f1004,f1059,f1060,f1005,f1061,f1062,f1006,f1063,f1064,f1007,f1065,f1066,f252,f1067,f1095,f1098,f1070,f1071,f1072,f1073,f1078,f1081,f1084,f1085,f1086,f1087,f1088,f1008,f1105,f1106,f989,f1107,f1108,f679,f1128,f887,f1133,f1140,f902,f1154,f676,f1157,f1163,f1160,f1170,f677,f1178,f933,f1183,f1190,f1127,f1203,f674,f1205,f1211,f1208,f1218,f675,f1226,f1162,f1231,f1238,f1177,f1251,f624,f1268,f1267,f1266,f1264,f626,f1271,f1275,f627,f1297,f1290,f1288,f1298,f1299,f672,f1300,f1306,f1303,f1313,f673,f1321,f1210,f1326,f1333,f1225,f1346,f1274,f1349,f1354,f1279,f1356,f1362,f1359,f1369,f1289,f1385,f1384,f1383,f1381,f317,f1406,f1408,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1419,f1420,f1421,f1422,f1423,f1424,f1438,f1427,f1428,f1439,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1294,f1447,f1295,f1453,f1457,f1296,f1480,f1472,f1473,f1471,f1481,f1482,f1305,f1483,f1490,f1320,f1504,f1361,f1506,f1513,f1446,f1527,f1456,f1530,f1535,f1461,f1537,f1543,f1540,f1550,f1462,f1566,f1565,f1564,f1562,f324,f1579,f1592,f1593,f1594,f1622,f1597,f1598,f1623,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1617,f1618,f1619,f1620,f1477,f1631,f1632,f1478,f1638,f1642,f1479,f1665,f1664,f1663,f1657,f1658,f1662,f1656,f1666,f1667,f1542,f1668,f1675,f1628,f1689,f1641,f1692,f1697,f1646,f1699,f1704,f1705,f1702,f1712,f1647,f1729,f1728,f1727,f1725,f390,f1731,f1732,f1831,f1832,f1739,f1826,f1824,f1823,f1822,f1821,f1746,f1748,f1749,f1834,f1837,f1839,f1756,f1757,f1758,f1840,f1760,f1841,f1763,f1764,f1843,f1766,f1767,f1768,f1769,f1770,f1772,f1773,f1774,f1845,f1817,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1827,f1849,f1861,f1853,f1854,f1855,f1856,f1857,f1858,f1848,f1862,f1863,f1865,f1864]) ).
tff(f1864,plain,
( $less(0,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f1848,f10]) ).
tff(f1865,plain,
$less(0,sK0),
inference(global_subsumption,[],[f19,f8,f18,f5,f13,f7,f20,f3,f12,f34,f32,f38,f37,f36,f14,f51,f53,f33,f62,f50,f75,f76,f77,f83,f86,f49,f89,f90,f55,f94,f95,f61,f70,f103,f104,f9,f106,f108,f109,f110,f111,f112,f113,f114,f115,f107,f116,f117,f119,f120,f121,f122,f123,f125,f118,f137,f134,f133,f151,f150,f149,f136,f153,f160,f156,f161,f138,f176,f174,f170,f10,f179,f180,f181,f182,f183,f184,f189,f190,f192,f193,f194,f195,f196,f197,f202,f203,f159,f206,f173,f224,f223,f222,f175,f226,f232,f177,f247,f244,f6,f253,f256,f257,f231,f265,f243,f283,f282,f281,f245,f285,f291,f246,f306,f303,f11,f311,f313,f318,f319,f320,f325,f326,f327,f290,f331,f302,f350,f349,f348,f304,f352,f358,f305,f373,f370,f357,f375,f4,f383,f384,f414,f388,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f369,f432,f431,f430,f428,f371,f434,f440,f372,f455,f452,f439,f457,f462,f314,f465,f466,f467,f469,f471,f472,f473,f451,f488,f487,f486,f484,f453,f490,f496,f454,f511,f508,f495,f513,f518,f321,f520,f521,f522,f524,f507,f540,f539,f538,f536,f509,f542,f548,f510,f563,f560,f547,f565,f570,f559,f586,f585,f584,f582,f385,f589,f590,f591,f592,f594,f595,f596,f602,f603,f604,f601,f605,f561,f607,f613,f562,f628,f625,f612,f630,f635,f415,f637,f639,f640,f641,f645,f647,f648,f651,f685,f684,f683,f661,f682,f694,f699,f697,f706,f698,f707,f713,f686,f725,f691,f730,f735,f733,f742,f692,f750,f687,f755,f760,f758,f767,f688,f775,f316,f780,f781,f782,f783,f785,f786,f787,f789,f724,f801,f734,f803,f809,f749,f822,f680,f824,f829,f827,f836,f681,f844,f759,f849,f855,f323,f860,f861,f862,f864,f865,f866,f868,f774,f881,f689,f883,f888,f886,f895,f690,f903,f828,f908,f914,f843,f927,f678,f929,f934,f932,f941,f248,f962,f945,f946,f947,f963,f965,f953,f955,f956,f957,f966,f960,f968,f970,f971,f972,f973,f974,f967,f980,f981,f982,f976,f983,f985,f984,f986,f977,f988,f991,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1001,f1022,f1023,f249,f1047,f1049,f1029,f1030,f1046,f1051,f1052,f1038,f1040,f1053,f1042,f1043,f1054,f1002,f1055,f1056,f1003,f1057,f1058,f1004,f1059,f1060,f1005,f1061,f1062,f1006,f1063,f1064,f1007,f1065,f1066,f252,f1067,f1095,f1098,f1070,f1071,f1072,f1073,f1078,f1081,f1084,f1085,f1086,f1087,f1088,f1008,f1105,f1106,f989,f1107,f1108,f679,f1128,f887,f1133,f1140,f902,f1154,f676,f1157,f1163,f1160,f1170,f677,f1178,f933,f1183,f1190,f1127,f1203,f674,f1205,f1211,f1208,f1218,f675,f1226,f1162,f1231,f1238,f1177,f1251,f624,f1268,f1267,f1266,f1264,f626,f1271,f1275,f627,f1297,f1290,f1288,f1298,f1299,f672,f1300,f1306,f1303,f1313,f673,f1321,f1210,f1326,f1333,f1225,f1346,f1274,f1349,f1354,f1279,f1356,f1362,f1359,f1369,f1289,f1385,f1384,f1383,f1381,f317,f1406,f1408,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1419,f1420,f1421,f1422,f1423,f1424,f1438,f1427,f1428,f1439,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1294,f1447,f1295,f1453,f1457,f1296,f1480,f1472,f1473,f1471,f1481,f1482,f1305,f1483,f1490,f1320,f1504,f1361,f1506,f1513,f1446,f1527,f1456,f1530,f1535,f1461,f1537,f1543,f1540,f1550,f1462,f1566,f1565,f1564,f1562,f324,f1579,f1592,f1593,f1594,f1622,f1597,f1598,f1623,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1617,f1618,f1619,f1620,f1477,f1631,f1632,f1478,f1638,f1642,f1479,f1665,f1664,f1663,f1657,f1658,f1662,f1656,f1666,f1667,f1542,f1668,f1675,f1628,f1689,f1641,f1692,f1697,f1646,f1699,f1704,f1705,f1702,f1712,f1647,f1729,f1728,f1727,f1725,f390,f1731,f1732,f1831,f1832,f1739,f1826,f1824,f1823,f1822,f1821,f1746,f1748,f1749,f1834,f1837,f1839,f1756,f1757,f1758,f1840,f1760,f1841,f1763,f1764,f1843,f1766,f1767,f1768,f1769,f1770,f1772,f1773,f1774,f1845,f1817,f1778,f1779,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1787,f1788,f1789,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1827,f1849,f1861,f1853,f1854,f1855,f1856,f1857,f1858,f1848,f1862,f1863]) ).
tff(f1863,plain,
( $less(0,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f1848,f10]) ).
tff(f1848,plain,
~ $less(sK0,0),
inference(superposition,[],[f688,f1827]) ).
tff(f1858,plain,
! [X0: $int] :
( $less(0,$sum(sK0,X0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f324,f1827]) ).
tff(f1857,plain,
! [X0: $int] :
( $less($sum(X0,-3),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f324,f1827]) ).
tff(f1856,plain,
! [X0: $int] :
( $less($sum(sK0,X0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f317,f1827]) ).
tff(f1855,plain,
! [X0: $int] :
( $less(0,$sum(X0,-3))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f317,f1827]) ).
tff(f1854,plain,
! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f11,f1827]) ).
tff(f1853,plain,
! [X0: $int] :
( $less($sum(X0,sK0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f11,f1827]) ).
tff(f1861,plain,
! [X0: $int] : ( $sum(-3,$sum(sK0,X0)) = X0 ),
inference(evaluation,[],[f1852]) ).
tff(f1852,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(-3,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f1827]) ).
tff(f1827,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1737]) ).
tff(f1737,plain,
0 = $sum(2,$sum(sK0,$uminus(5))),
inference(superposition,[],[f390,f18]) ).
tff(f1816,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(12,X0))),0),
inference(superposition,[],[f1478,f390]) ).
tff(f1815,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(12,X0)))),
inference(superposition,[],[f1479,f390]) ).
tff(f1814,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-12,X0)))),
inference(superposition,[],[f1646,f390]) ).
tff(f1813,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-11,X0)))),
inference(superposition,[],[f1461,f390]) ).
tff(f1812,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-11,X0))),0),
inference(superposition,[],[f1477,f390]) ).
tff(f1811,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(11,X0))),0),
inference(superposition,[],[f1295,f390]) ).
tff(f1810,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(11,X0)))),
inference(superposition,[],[f1296,f390]) ).
tff(f1809,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-10,X0)))),
inference(superposition,[],[f1279,f390]) ).
tff(f1808,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-10,X0))),0),
inference(superposition,[],[f1294,f390]) ).
tff(f1807,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(10,X0))),0),
inference(superposition,[],[f626,f390]) ).
tff(f1806,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(10,X0)))),
inference(superposition,[],[f627,f390]) ).
tff(f1805,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-9,X0)))),
inference(superposition,[],[f672,f390]) ).
tff(f1804,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-9,X0))),0),
inference(superposition,[],[f673,f390]) ).
tff(f1803,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(9,X0))),0),
inference(superposition,[],[f561,f390]) ).
tff(f1802,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(9,X0)))),
inference(superposition,[],[f562,f390]) ).
tff(f1801,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-8,X0)))),
inference(superposition,[],[f674,f390]) ).
tff(f1800,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-8,X0))),0),
inference(superposition,[],[f675,f390]) ).
tff(f1799,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(8,X0))),0),
inference(superposition,[],[f509,f390]) ).
tff(f1798,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(8,X0)))),
inference(superposition,[],[f510,f390]) ).
tff(f1797,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-7,X0)))),
inference(superposition,[],[f676,f390]) ).
tff(f1796,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-7,X0))),0),
inference(superposition,[],[f677,f390]) ).
tff(f1795,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(7,X0))),0),
inference(superposition,[],[f453,f390]) ).
tff(f1794,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(7,X0)))),
inference(superposition,[],[f454,f390]) ).
tff(f1793,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-6,X0)))),
inference(superposition,[],[f678,f390]) ).
tff(f1792,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-6,X0))),0),
inference(superposition,[],[f679,f390]) ).
tff(f1791,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(6,X0))),0),
inference(superposition,[],[f371,f390]) ).
tff(f1790,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(6,X0)))),
inference(superposition,[],[f372,f390]) ).
tff(f1789,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-5,X0)))),
inference(superposition,[],[f689,f390]) ).
tff(f1788,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-5,X0))),0),
inference(superposition,[],[f690,f390]) ).
tff(f1787,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-4,X0)))),
inference(superposition,[],[f680,f390]) ).
tff(f1786,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-4,X0))),0),
inference(superposition,[],[f681,f390]) ).
tff(f1785,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(4,X0))),0),
inference(superposition,[],[f245,f390]) ).
tff(f1784,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(4,X0)))),
inference(superposition,[],[f246,f390]) ).
tff(f1783,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-3,X0)))),
inference(superposition,[],[f687,f390]) ).
tff(f1782,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-3,X0))),0),
inference(superposition,[],[f688,f390]) ).
tff(f1781,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-2,X0)))),
inference(superposition,[],[f691,f390]) ).
tff(f1780,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-2,X0))),0),
inference(superposition,[],[f692,f390]) ).
tff(f1779,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-1,X0)))),
inference(superposition,[],[f682,f390]) ).
tff(f1778,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-1,X0))),0),
inference(superposition,[],[f686,f390]) ).
tff(f1817,plain,
! [X0: $int] : ( 2 = $sum(5,$sum(X0,$uminus($sum(sK0,X0)))) ),
inference(evaluation,[],[f1777]) ).
tff(f1777,plain,
! [X0: $int] : ( $sum(2,0) = $sum(5,$sum(X0,$uminus($sum(sK0,X0)))) ),
inference(superposition,[],[f385,f390]) ).
tff(f1845,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X1),$sum($uminus(X0),X1)),X0) ),
inference(forward_demodulation,[],[f1844,f3]) ).
tff(f1844,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($sum($uminus(X0),X1),$uminus(X1)),X0) ),
inference(forward_demodulation,[],[f1819,f248]) ).
tff(f1819,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(evaluation,[],[f1775]) ).
tff(f1775,plain,
! [X0: $int,X1: $int] : ( $uminus(0) = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(superposition,[],[f249,f390]) ).
tff(f1774,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(1,X0))),0),
inference(superposition,[],[f37,f390]) ).
tff(f1773,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| $less($sum(X0,$uminus($sum(1,X0))),X1) ),
inference(superposition,[],[f33,f390]) ).
tff(f1772,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,0)
| ~ $less($sum(X0,$uminus($sum(1,X0))),X1) ),
inference(superposition,[],[f50,f390]) ).
tff(f1770,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(1,X0)))),
inference(superposition,[],[f133,f390]) ).
tff(f1769,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(3,X0))),0),
inference(superposition,[],[f175,f390]) ).
tff(f1768,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(3,X0)))),
inference(superposition,[],[f177,f390]) ).
tff(f1767,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(5,X0))),0),
inference(superposition,[],[f304,f390]) ).
tff(f1766,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(5,X0)))),
inference(superposition,[],[f305,f390]) ).
tff(f1843,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1765,f4]) ).
tff(f1765,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f4,f390]) ).
tff(f1764,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(2,X0))),0),
inference(superposition,[],[f136,f390]) ).
tff(f1763,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(2,X0)))),
inference(superposition,[],[f138,f390]) ).
tff(f1841,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X1,$sum($uminus($sum(X0,X1)),X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1761,f4]) ).
tff(f1761,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,$uminus($sum(X0,X1))),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f324,f390]) ).
tff(f1760,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X0),0)
| ~ $less(X2,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f324,f390]) ).
tff(f1840,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,$sum($uminus($sum(X0,X1)),X2)),0)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1759,f4]) ).
tff(f1759,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($sum(X1,$uminus($sum(X0,X1))),X2),0)
| ~ $less(X2,X0) ),
inference(superposition,[],[f317,f390]) ).
tff(f1758,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,X0))
| ~ $less($sum(X1,$uminus($sum(X0,X1))),X2) ),
inference(superposition,[],[f317,f390]) ).
tff(f1757,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum(X1,$uminus($sum(X0,X1)))))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f390]) ).
tff(f1756,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum(X1,$uminus($sum(X0,X1)))),0)
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f390]) ).
tff(f1839,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(forward_demodulation,[],[f1820,f4]) ).
tff(f1820,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = X2 ),
inference(evaluation,[],[f1755]) ).
tff(f1755,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = $sum(0,X2) ),
inference(superposition,[],[f4,f390]) ).
tff(f1837,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1753,f4]) ).
tff(f1753,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f390,f4]) ).
tff(f1834,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(forward_demodulation,[],[f1750,f3]) ).
tff(f1750,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum($sum(X1,$uminus(X0)),X0))) ),
inference(superposition,[],[f390,f6]) ).
tff(f1749,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(superposition,[],[f390,f252]) ).
tff(f1748,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X2,$sum(X0,$sum(X1,$uminus($sum(X2,$sum(X0,X1)))))) ),
inference(superposition,[],[f390,f4]) ).
tff(f1746,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($uminus(X1),$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f390,f248]) ).
tff(f1821,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1745]) ).
tff(f1745,plain,
0 = $sum(-5,$sum(sK0,$uminus(-2))),
inference(superposition,[],[f390,f967]) ).
tff(f1823,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$sum(X1,X0))) ),
inference(evaluation,[],[f1743]) ).
tff(f1743,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X1,X0))))) ),
inference(superposition,[],[f390,f6]) ).
tff(f1824,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$sum(X0,X1))) ),
inference(evaluation,[],[f1742]) ).
tff(f1742,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X0,X1))))) ),
inference(superposition,[],[f390,f252]) ).
tff(f1739,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum($sum(X0,X1),$sum(X2,$uminus($sum(X0,$sum(X1,X2))))) ),
inference(superposition,[],[f390,f4]) ).
tff(f1832,plain,
! [X0: $int] : ( 0 = $sum(2,$sum(sK0,$sum(X0,$uminus($sum(5,X0))))) ),
inference(forward_demodulation,[],[f1738,f4]) ).
tff(f1738,plain,
! [X0: $int] : ( 0 = $sum(2,$sum($sum(sK0,X0),$uminus($sum(5,X0)))) ),
inference(superposition,[],[f390,f385]) ).
tff(f1831,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($uminus(X1),$sum($uminus(X0),X1))) ),
inference(forward_demodulation,[],[f1733,f3]) ).
tff(f1733,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($sum($uminus(X0),X1),$uminus(X1))) ),
inference(superposition,[],[f390,f415]) ).
tff(f1732,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f390,f3]) ).
tff(f1731,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f390,f3]) ).
tff(f390,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f4,f7]) ).
tff(f1725,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,12)),$sum(X0,X1)),
inference(superposition,[],[f1647,f4]) ).
tff(f1727,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1719]) ).
tff(f1719,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),12)),
inference(resolution,[],[f1647,f12]) ).
tff(f1728,plain,
! [X0: $int] : ~ $less($sum(13,X0),X0),
inference(evaluation,[],[f1718]) ).
tff(f1718,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),12),X0),
inference(resolution,[],[f1647,f107]) ).
tff(f1729,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1717]) ).
tff(f1717,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),12)),
inference(resolution,[],[f1647,f33]) ).
tff(f1647,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(resolution,[],[f1479,f317]) ).
tff(f1712,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-12,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1702,f9]) ).
tff(f1702,plain,
$less($sum(-12,sK0),5),
inference(resolution,[],[f1646,f161]) ).
tff(f1705,plain,
! [X0: $int] : $less($sum(X0,-12),X0),
inference(superposition,[],[f1646,f3]) ).
tff(f1704,plain,
! [X0: $int] : $less($sum(X0,-12),X0),
inference(superposition,[],[f1646,f3]) ).
tff(f1699,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-12,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1646,f9]) ).
tff(f1646,plain,
! [X0: $int] : $less($sum(-12,X0),X0),
inference(evaluation,[],[f1643]) ).
tff(f1643,plain,
! [X0: $int] : $less($sum($uminus(12),X0),X0),
inference(superposition,[],[f1478,f415]) ).
tff(f1697,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,12))),
inference(superposition,[],[f1641,f4]) ).
tff(f1692,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,12)) ),
inference(resolution,[],[f1641,f9]) ).
tff(f1641,plain,
! [X0: $int] : $less(X0,$sum(X0,12)),
inference(superposition,[],[f1478,f3]) ).
tff(f1689,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-11))),
inference(superposition,[],[f1628,f4]) ).
tff(f1628,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(resolution,[],[f1477,f324]) ).
tff(f1675,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-11)),$sum(X0,X1)),
inference(superposition,[],[f1542,f4]) ).
tff(f1668,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-11))
| $less(X0,X1) ),
inference(resolution,[],[f1542,f9]) ).
tff(f1542,plain,
! [X0: $int] : $less($sum(X0,-11),X0),
inference(superposition,[],[f1461,f3]) ).
tff(f1667,plain,
( $less(-2,$sum(12,sK0))
| ( -2 = $sum(12,sK0) ) ),
inference(resolution,[],[f1656,f10]) ).
tff(f1666,plain,
( $less(-2,$sum(12,sK0))
| ( -2 = $sum(12,sK0) ) ),
inference(resolution,[],[f1656,f10]) ).
tff(f1656,plain,
~ $less($sum(12,sK0),-2),
inference(resolution,[],[f1479,f988]) ).
tff(f1662,plain,
! [X0: $int] : ~ $less(X0,$sum(-12,X0)),
inference(evaluation,[],[f1659]) ).
tff(f1659,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(12),X0)),
inference(superposition,[],[f1479,f415]) ).
tff(f1658,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(superposition,[],[f1479,f3]) ).
tff(f1657,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(superposition,[],[f1479,f3]) ).
tff(f1663,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1653]) ).
tff(f1653,plain,
! [X0: $int] : $less(X0,$sum(12,$sum(X0,1))),
inference(resolution,[],[f1479,f12]) ).
tff(f1664,plain,
! [X0: $int] : ~ $less($sum(13,X0),X0),
inference(evaluation,[],[f1652]) ).
tff(f1652,plain,
! [X0: $int] : ~ $less($sum(12,$sum(X0,1)),X0),
inference(resolution,[],[f1479,f107]) ).
tff(f1665,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1651]) ).
tff(f1651,plain,
! [X0: $int] : $less(X0,$sum(12,$sum(1,X0))),
inference(resolution,[],[f1479,f33]) ).
tff(f1479,plain,
! [X0: $int] : ~ $less($sum(12,X0),X0),
inference(evaluation,[],[f1467]) ).
tff(f1467,plain,
! [X0: $int] : ~ $less($sum(11,$sum(X0,1)),X0),
inference(resolution,[],[f1296,f107]) ).
tff(f1642,plain,
! [X0: $int] : $less(X0,$sum(X0,12)),
inference(superposition,[],[f1478,f3]) ).
tff(f1638,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(12,X1)) ),
inference(resolution,[],[f1478,f9]) ).
tff(f1478,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1468]) ).
tff(f1468,plain,
! [X0: $int] : $less(X0,$sum(11,$sum(X0,1))),
inference(resolution,[],[f1296,f12]) ).
tff(f1632,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(superposition,[],[f1477,f3]) ).
tff(f1631,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(superposition,[],[f1477,f3]) ).
tff(f1477,plain,
! [X0: $int] : ~ $less(X0,$sum(-11,X0)),
inference(evaluation,[],[f1474]) ).
tff(f1474,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(11),X0)),
inference(superposition,[],[f1296,f415]) ).
tff(f1620,plain,
! [X0: $int] :
( $less($sum(X0,-5),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f324,f967]) ).
tff(f1619,plain,
! [X0: $int] :
( $less($sum(X0,sK0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f324,f960]) ).
tff(f1618,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f324,f6]) ).
tff(f1617,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f324,f252]) ).
tff(f1615,plain,
! [X0: $int] :
( $less($sum(X0,5),2)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f324,f596]) ).
tff(f1614,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,$sum(X0,X1)),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,X2) ),
inference(superposition,[],[f324,f4]) ).
tff(f1613,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,2),$sum(5,X0))
| ~ $less(X1,$sum(sK0,X0)) ),
inference(superposition,[],[f324,f385]) ).
tff(f1612,plain,
! [X0: $int] :
( $less($sum(X0,2),5)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f324,f18]) ).
tff(f1611,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f324,f7]) ).
tff(f1610,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),X0)
| ~ $less(X1,0) ),
inference(superposition,[],[f324,f5]) ).
tff(f1609,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X0),X1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f324,f415]) ).
tff(f1606,plain,
! [X0: $int] :
( $less(-2,$sum(sK0,X0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f324,f967]) ).
tff(f1605,plain,
! [X0: $int] :
( $less(-2,$sum(-5,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f324,f960]) ).
tff(f1604,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f324,f6]) ).
tff(f1603,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f324,f252]) ).
tff(f1602,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X0,X1))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f324,f20]) ).
tff(f1601,plain,
! [X0: $int] :
( $less(2,$sum($uminus(sK0),X0))
| ~ $less(5,X0) ),
inference(superposition,[],[f324,f596]) ).
tff(f1600,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X2,X3))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f324,f4]) ).
tff(f1623,plain,
! [X0: $int,X1: $int] :
( $less($sum(5,X0),$sum(sK0,$sum(X0,X1)))
| ~ $less(2,X1) ),
inference(forward_demodulation,[],[f1599,f4]) ).
tff(f1599,plain,
! [X0: $int,X1: $int] :
( $less($sum(5,X0),$sum($sum(sK0,X0),X1))
| ~ $less(2,X1) ),
inference(superposition,[],[f324,f385]) ).
tff(f1598,plain,
! [X0: $int] :
( $less(5,$sum(sK0,X0))
| ~ $less(2,X0) ),
inference(superposition,[],[f324,f18]) ).
tff(f1597,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X0),X1))
| ~ $less(X0,X1) ),
inference(superposition,[],[f324,f7]) ).
tff(f1622,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum($uminus(X0),$sum(X1,X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1595,f4]) ).
tff(f1595,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum($sum($uminus(X0),X1),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f324,f415]) ).
tff(f1594,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f324,f3]) ).
tff(f1593,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f324,f3]) ).
tff(f1592,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X3,X1)) ),
inference(resolution,[],[f324,f9]) ).
tff(f1579,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X0,X1)) ),
inference(resolution,[],[f324,f14]) ).
tff(f324,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f3]) ).
tff(f1562,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,11)),$sum(X0,X1)),
inference(superposition,[],[f1462,f4]) ).
tff(f1564,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1556]) ).
tff(f1556,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),11)),
inference(resolution,[],[f1462,f12]) ).
tff(f1565,plain,
! [X0: $int] : ~ $less($sum(12,X0),X0),
inference(evaluation,[],[f1555]) ).
tff(f1555,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),11),X0),
inference(resolution,[],[f1462,f107]) ).
tff(f1566,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1554]) ).
tff(f1554,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),11)),
inference(resolution,[],[f1462,f33]) ).
tff(f1462,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(resolution,[],[f1296,f317]) ).
tff(f1550,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-11,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1540,f9]) ).
tff(f1540,plain,
$less($sum(-11,sK0),5),
inference(resolution,[],[f1461,f161]) ).
tff(f1543,plain,
! [X0: $int] : $less($sum(X0,-11),X0),
inference(superposition,[],[f1461,f3]) ).
tff(f1537,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-11,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1461,f9]) ).
tff(f1461,plain,
! [X0: $int] : $less($sum(-11,X0),X0),
inference(evaluation,[],[f1458]) ).
tff(f1458,plain,
! [X0: $int] : $less($sum($uminus(11),X0),X0),
inference(superposition,[],[f1295,f415]) ).
tff(f1535,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,11))),
inference(superposition,[],[f1456,f4]) ).
tff(f1530,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,11)) ),
inference(resolution,[],[f1456,f9]) ).
tff(f1456,plain,
! [X0: $int] : $less(X0,$sum(X0,11)),
inference(superposition,[],[f1295,f3]) ).
tff(f1527,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-10))),
inference(superposition,[],[f1446,f4]) ).
tff(f1446,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-10)),
inference(superposition,[],[f1294,f3]) ).
tff(f1513,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-10)),$sum(X0,X1)),
inference(superposition,[],[f1361,f4]) ).
tff(f1506,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-10))
| $less(X0,X1) ),
inference(resolution,[],[f1361,f9]) ).
tff(f1361,plain,
! [X0: $int] : $less($sum(X0,-10),X0),
inference(superposition,[],[f1279,f3]) ).
tff(f1504,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-9))),
inference(superposition,[],[f1320,f4]) ).
tff(f1320,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-9)),
inference(superposition,[],[f673,f3]) ).
tff(f1490,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-9)),$sum(X0,X1)),
inference(superposition,[],[f1305,f4]) ).
tff(f1483,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-9))
| $less(X0,X1) ),
inference(resolution,[],[f1305,f9]) ).
tff(f1305,plain,
! [X0: $int] : $less($sum(X0,-9),X0),
inference(superposition,[],[f672,f3]) ).
tff(f1482,plain,
( $less(-2,$sum(11,sK0))
| ( -2 = $sum(11,sK0) ) ),
inference(resolution,[],[f1471,f10]) ).
tff(f1481,plain,
( $less(-2,$sum(11,sK0))
| ( -2 = $sum(11,sK0) ) ),
inference(resolution,[],[f1471,f10]) ).
tff(f1471,plain,
~ $less($sum(11,sK0),-2),
inference(resolution,[],[f1296,f988]) ).
tff(f1473,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(superposition,[],[f1296,f3]) ).
tff(f1472,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(superposition,[],[f1296,f3]) ).
tff(f1480,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1466]) ).
tff(f1466,plain,
! [X0: $int] : $less(X0,$sum(11,$sum(1,X0))),
inference(resolution,[],[f1296,f33]) ).
tff(f1296,plain,
! [X0: $int] : ~ $less($sum(11,X0),X0),
inference(evaluation,[],[f1284]) ).
tff(f1284,plain,
! [X0: $int] : ~ $less($sum(10,$sum(X0,1)),X0),
inference(resolution,[],[f627,f107]) ).
tff(f1457,plain,
! [X0: $int] : $less(X0,$sum(X0,11)),
inference(superposition,[],[f1295,f3]) ).
tff(f1453,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(11,X1)) ),
inference(resolution,[],[f1295,f9]) ).
tff(f1295,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1285]) ).
tff(f1285,plain,
! [X0: $int] : $less(X0,$sum(10,$sum(X0,1))),
inference(resolution,[],[f627,f12]) ).
tff(f1447,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-10)),
inference(superposition,[],[f1294,f3]) ).
tff(f1294,plain,
! [X0: $int] : ~ $less(X0,$sum(-10,X0)),
inference(evaluation,[],[f1291]) ).
tff(f1291,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(10),X0)),
inference(superposition,[],[f627,f415]) ).
tff(f1436,plain,
! [X0: $int] :
( $less($sum(sK0,X0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f317,f967]) ).
tff(f1435,plain,
! [X0: $int] :
( $less($sum(-5,X0),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f317,f960]) ).
tff(f1434,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X1),X2),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f317,f6]) ).
tff(f1433,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X1),X2),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f317,f252]) ).
tff(f1432,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,X1),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f317,f20]) ).
tff(f1431,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f317,f596]) ).
tff(f1430,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X2,X3),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f317,f4]) ).
tff(f1439,plain,
! [X0: $int,X1: $int] :
( $less($sum(sK0,$sum(X0,X1)),$sum(5,X0))
| ~ $less(X1,2) ),
inference(forward_demodulation,[],[f1429,f4]) ).
tff(f1429,plain,
! [X0: $int,X1: $int] :
( $less($sum($sum(sK0,X0),X1),$sum(5,X0))
| ~ $less(X1,2) ),
inference(superposition,[],[f317,f385]) ).
tff(f1428,plain,
! [X0: $int] :
( $less($sum(sK0,X0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f317,f18]) ).
tff(f1427,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X0),X1),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f317,f7]) ).
tff(f1438,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X0),$sum(X1,X2)),X1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1425,f4]) ).
tff(f1425,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($sum($uminus(X0),X1),X2),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f317,f415]) ).
tff(f1424,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f317,f3]) ).
tff(f1423,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f317,f3]) ).
tff(f1422,plain,
! [X0: $int] :
( $less(-2,$sum(X0,-5))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f317,f967]) ).
tff(f1421,plain,
! [X0: $int] :
( $less(-2,$sum(X0,sK0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f317,f960]) ).
tff(f1420,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f317,f6]) ).
tff(f1419,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f317,f252]) ).
tff(f1417,plain,
! [X0: $int] :
( $less(2,$sum(X0,5))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f317,f596]) ).
tff(f1416,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,$sum(X0,X1)))
| ~ $less(X2,X3) ),
inference(superposition,[],[f317,f4]) ).
tff(f1415,plain,
! [X0: $int,X1: $int] :
( $less($sum(5,X0),$sum(X1,2))
| ~ $less($sum(sK0,X0),X1) ),
inference(superposition,[],[f317,f385]) ).
tff(f1414,plain,
! [X0: $int] :
( $less(5,$sum(X0,2))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f317,f18]) ).
tff(f1413,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f317,f7]) ).
tff(f1412,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,X0))
| ~ $less(0,X1) ),
inference(superposition,[],[f317,f5]) ).
tff(f1411,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum(X2,X0))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f317,f415]) ).
tff(f1408,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X3,X0))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f317,f9]) ).
tff(f1406,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X1,X0)) ),
inference(resolution,[],[f317,f50]) ).
tff(f317,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f3]) ).
tff(f1381,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,10)),$sum(X0,X1)),
inference(superposition,[],[f1289,f4]) ).
tff(f1383,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1375]) ).
tff(f1375,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),10)),
inference(resolution,[],[f1289,f12]) ).
tff(f1384,plain,
! [X0: $int] : ~ $less($sum(11,X0),X0),
inference(evaluation,[],[f1374]) ).
tff(f1374,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),10),X0),
inference(resolution,[],[f1289,f107]) ).
tff(f1385,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1373]) ).
tff(f1373,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),10)),
inference(resolution,[],[f1289,f33]) ).
tff(f1289,plain,
! [X0: $int] : ~ $less($sum(X0,10),X0),
inference(superposition,[],[f627,f3]) ).
tff(f1369,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-10,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1359,f9]) ).
tff(f1359,plain,
$less($sum(-10,sK0),5),
inference(resolution,[],[f1279,f161]) ).
tff(f1362,plain,
! [X0: $int] : $less($sum(X0,-10),X0),
inference(superposition,[],[f1279,f3]) ).
tff(f1356,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-10,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1279,f9]) ).
tff(f1279,plain,
! [X0: $int] : $less($sum(-10,X0),X0),
inference(evaluation,[],[f1276]) ).
tff(f1276,plain,
! [X0: $int] : $less($sum($uminus(10),X0),X0),
inference(superposition,[],[f626,f415]) ).
tff(f1354,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,10))),
inference(superposition,[],[f1274,f4]) ).
tff(f1349,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,10)) ),
inference(resolution,[],[f1274,f9]) ).
tff(f1274,plain,
! [X0: $int] : $less(X0,$sum(X0,10)),
inference(superposition,[],[f626,f3]) ).
tff(f1346,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-8))),
inference(superposition,[],[f1225,f4]) ).
tff(f1225,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-8)),
inference(superposition,[],[f675,f3]) ).
tff(f1333,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-8)),$sum(X0,X1)),
inference(superposition,[],[f1210,f4]) ).
tff(f1326,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-8))
| $less(X0,X1) ),
inference(resolution,[],[f1210,f9]) ).
tff(f1210,plain,
! [X0: $int] : $less($sum(X0,-8),X0),
inference(superposition,[],[f674,f3]) ).
tff(f1321,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-9)),
inference(superposition,[],[f673,f3]) ).
tff(f673,plain,
! [X0: $int] : ~ $less(X0,$sum(-9,X0)),
inference(evaluation,[],[f670]) ).
tff(f670,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(9),X0)),
inference(superposition,[],[f562,f415]) ).
tff(f1313,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-9,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1303,f9]) ).
tff(f1303,plain,
$less($sum(-9,sK0),5),
inference(resolution,[],[f672,f161]) ).
tff(f1306,plain,
! [X0: $int] : $less($sum(X0,-9),X0),
inference(superposition,[],[f672,f3]) ).
tff(f1300,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-9,X1))
| $less(X0,X1) ),
inference(resolution,[],[f672,f9]) ).
tff(f672,plain,
! [X0: $int] : $less($sum(-9,X0),X0),
inference(evaluation,[],[f671]) ).
tff(f671,plain,
! [X0: $int] : $less($sum($uminus(9),X0),X0),
inference(superposition,[],[f561,f415]) ).
tff(f1299,plain,
( $less(-2,$sum(10,sK0))
| ( -2 = $sum(10,sK0) ) ),
inference(resolution,[],[f1288,f10]) ).
tff(f1298,plain,
( $less(-2,$sum(10,sK0))
| ( -2 = $sum(10,sK0) ) ),
inference(resolution,[],[f1288,f10]) ).
tff(f1288,plain,
~ $less($sum(10,sK0),-2),
inference(resolution,[],[f627,f988]) ).
tff(f1290,plain,
! [X0: $int] : ~ $less($sum(X0,10),X0),
inference(superposition,[],[f627,f3]) ).
tff(f1297,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1283]) ).
tff(f1283,plain,
! [X0: $int] : $less(X0,$sum(10,$sum(1,X0))),
inference(resolution,[],[f627,f33]) ).
tff(f627,plain,
! [X0: $int] : ~ $less($sum(10,X0),X0),
inference(evaluation,[],[f618]) ).
tff(f618,plain,
! [X0: $int] : ~ $less($sum(9,$sum(X0,1)),X0),
inference(resolution,[],[f562,f107]) ).
tff(f1275,plain,
! [X0: $int] : $less(X0,$sum(X0,10)),
inference(superposition,[],[f626,f3]) ).
tff(f1271,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(10,X1)) ),
inference(resolution,[],[f626,f9]) ).
tff(f626,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f619]) ).
tff(f619,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(X0,1))),
inference(resolution,[],[f562,f12]) ).
tff(f1264,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,9)),$sum(X0,X1)),
inference(superposition,[],[f624,f4]) ).
tff(f1266,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f1258]) ).
tff(f1258,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),9)),
inference(resolution,[],[f624,f12]) ).
tff(f1267,plain,
! [X0: $int] : ~ $less($sum(10,X0),X0),
inference(evaluation,[],[f1257]) ).
tff(f1257,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),9),X0),
inference(resolution,[],[f624,f107]) ).
tff(f1268,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f1256]) ).
tff(f1256,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),9)),
inference(resolution,[],[f624,f33]) ).
tff(f624,plain,
! [X0: $int] : ~ $less($sum(X0,9),X0),
inference(superposition,[],[f562,f3]) ).
tff(f1251,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-7))),
inference(superposition,[],[f1177,f4]) ).
tff(f1177,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-7)),
inference(superposition,[],[f677,f3]) ).
tff(f1238,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-7)),$sum(X0,X1)),
inference(superposition,[],[f1162,f4]) ).
tff(f1231,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-7))
| $less(X0,X1) ),
inference(resolution,[],[f1162,f9]) ).
tff(f1162,plain,
! [X0: $int] : $less($sum(X0,-7),X0),
inference(superposition,[],[f676,f3]) ).
tff(f1226,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-8)),
inference(superposition,[],[f675,f3]) ).
tff(f675,plain,
! [X0: $int] : ~ $less(X0,$sum(-8,X0)),
inference(evaluation,[],[f668]) ).
tff(f668,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(8),X0)),
inference(superposition,[],[f510,f415]) ).
tff(f1218,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-8,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1208,f9]) ).
tff(f1208,plain,
$less($sum(-8,sK0),5),
inference(resolution,[],[f674,f161]) ).
tff(f1211,plain,
! [X0: $int] : $less($sum(X0,-8),X0),
inference(superposition,[],[f674,f3]) ).
tff(f1205,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-8,X1))
| $less(X0,X1) ),
inference(resolution,[],[f674,f9]) ).
tff(f674,plain,
! [X0: $int] : $less($sum(-8,X0),X0),
inference(evaluation,[],[f669]) ).
tff(f669,plain,
! [X0: $int] : $less($sum($uminus(8),X0),X0),
inference(superposition,[],[f509,f415]) ).
tff(f1203,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-6))),
inference(superposition,[],[f1127,f4]) ).
tff(f1127,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-6)),
inference(superposition,[],[f679,f3]) ).
tff(f1190,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-6)),$sum(X0,X1)),
inference(superposition,[],[f933,f4]) ).
tff(f1183,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-6))
| $less(X0,X1) ),
inference(resolution,[],[f933,f9]) ).
tff(f933,plain,
! [X0: $int] : $less($sum(X0,-6),X0),
inference(superposition,[],[f678,f3]) ).
tff(f1178,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-7)),
inference(superposition,[],[f677,f3]) ).
tff(f677,plain,
! [X0: $int] : ~ $less(X0,$sum(-7,X0)),
inference(evaluation,[],[f666]) ).
tff(f666,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(7),X0)),
inference(superposition,[],[f454,f415]) ).
tff(f1170,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-7,sK0))
| $less(X0,5) ),
inference(resolution,[],[f1160,f9]) ).
tff(f1160,plain,
$less($sum(-7,sK0),5),
inference(resolution,[],[f676,f161]) ).
tff(f1163,plain,
! [X0: $int] : $less($sum(X0,-7),X0),
inference(superposition,[],[f676,f3]) ).
tff(f1157,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-7,X1))
| $less(X0,X1) ),
inference(resolution,[],[f676,f9]) ).
tff(f676,plain,
! [X0: $int] : $less($sum(-7,X0),X0),
inference(evaluation,[],[f667]) ).
tff(f667,plain,
! [X0: $int] : $less($sum($uminus(7),X0),X0),
inference(superposition,[],[f453,f415]) ).
tff(f1154,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-5))),
inference(superposition,[],[f902,f4]) ).
tff(f902,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-5)),
inference(superposition,[],[f690,f3]) ).
tff(f1140,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-5)),$sum(X0,X1)),
inference(superposition,[],[f887,f4]) ).
tff(f1133,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-5))
| $less(X0,X1) ),
inference(resolution,[],[f887,f9]) ).
tff(f887,plain,
! [X0: $int] : $less($sum(X0,-5),X0),
inference(superposition,[],[f689,f3]) ).
tff(f1128,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-6)),
inference(superposition,[],[f679,f3]) ).
tff(f679,plain,
! [X0: $int] : ~ $less(X0,$sum(-6,X0)),
inference(evaluation,[],[f664]) ).
tff(f664,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(6),X0)),
inference(superposition,[],[f372,f415]) ).
tff(f1108,plain,
! [X0: $int] :
( $less(X0,5)
| $less(-2,X0)
| ( -2 = X0 ) ),
inference(resolution,[],[f989,f10]) ).
tff(f1107,plain,
! [X0: $int] :
( $less(X0,5)
| $less(-2,X0)
| ( -2 = X0 ) ),
inference(resolution,[],[f989,f10]) ).
tff(f989,plain,
! [X0: $int] :
( ~ $less(X0,-2)
| $less(X0,5) ),
inference(resolution,[],[f988,f161]) ).
tff(f1106,plain,
( $less(-2,$sum(9,sK0))
| ( -2 = $sum(9,sK0) ) ),
inference(resolution,[],[f1008,f10]) ).
tff(f1105,plain,
( $less(-2,$sum(9,sK0))
| ( -2 = $sum(9,sK0) ) ),
inference(resolution,[],[f1008,f10]) ).
tff(f1008,plain,
~ $less($sum(9,sK0),-2),
inference(resolution,[],[f988,f562]) ).
tff(f1088,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f11,f252]) ).
tff(f1087,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f11,f252]) ).
tff(f1086,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X0,X1)),X2) ),
inference(superposition,[],[f4,f252]) ).
tff(f1085,plain,
! [X0: $int,X1: $int] :
( $less(0,$uminus($sum(X0,X1)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f316,f252]) ).
tff(f1084,plain,
! [X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),0)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f323,f252]) ).
tff(f1081,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum(X0,$uminus($sum(X0,X1))) ),
inference(superposition,[],[f415,f252]) ).
tff(f1078,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f252]) ).
tff(f1073,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f252,f6]) ).
tff(f1072,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum(X2,$sum($uminus(X0),X1))) ),
inference(superposition,[],[f252,f249]) ).
tff(f1071,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X2,$sum(X0,$uminus(X1)))) ),
inference(superposition,[],[f252,f248]) ).
tff(f1070,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f252,f13]) ).
tff(f1098,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus($sum(X1,X2)),X0) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1097,f249]) ).
tff(f1097,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),$sum(X1,X2))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1096,f4]) ).
tff(f1096,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1069,f4]) ).
tff(f1069,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f252,f249]) ).
tff(f1095,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X0,$sum($uminus(X1),X2))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f1094,f4]) ).
tff(f1094,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f1093,f6]) ).
tff(f1093,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f1068,f4]) ).
tff(f1068,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f252,f248]) ).
tff(f1067,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$uminus(X1)) = $uminus($sum($uminus(X0),X1)) ),
inference(superposition,[],[f252,f13]) ).
tff(f252,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f3]) ).
tff(f1066,plain,
( $less(-2,$sum(8,sK0))
| ( -2 = $sum(8,sK0) ) ),
inference(resolution,[],[f1007,f10]) ).
tff(f1065,plain,
( $less(-2,$sum(8,sK0))
| ( -2 = $sum(8,sK0) ) ),
inference(resolution,[],[f1007,f10]) ).
tff(f1007,plain,
~ $less($sum(8,sK0),-2),
inference(resolution,[],[f988,f510]) ).
tff(f1064,plain,
( $less(-2,$sum(7,sK0))
| ( -2 = $sum(7,sK0) ) ),
inference(resolution,[],[f1006,f10]) ).
tff(f1063,plain,
( $less(-2,$sum(7,sK0))
| ( -2 = $sum(7,sK0) ) ),
inference(resolution,[],[f1006,f10]) ).
tff(f1006,plain,
~ $less($sum(7,sK0),-2),
inference(resolution,[],[f988,f454]) ).
tff(f1062,plain,
( $less(-2,$sum(6,sK0))
| ( -2 = $sum(6,sK0) ) ),
inference(resolution,[],[f1005,f10]) ).
tff(f1061,plain,
( $less(-2,$sum(6,sK0))
| ( -2 = $sum(6,sK0) ) ),
inference(resolution,[],[f1005,f10]) ).
tff(f1005,plain,
~ $less($sum(6,sK0),-2),
inference(resolution,[],[f988,f372]) ).
tff(f1060,plain,
( $less(-2,$sum(4,sK0))
| ( -2 = $sum(4,sK0) ) ),
inference(resolution,[],[f1004,f10]) ).
tff(f1059,plain,
( $less(-2,$sum(4,sK0))
| ( -2 = $sum(4,sK0) ) ),
inference(resolution,[],[f1004,f10]) ).
tff(f1004,plain,
~ $less($sum(4,sK0),-2),
inference(resolution,[],[f988,f246]) ).
tff(f1058,plain,
( $less(-2,$sum(1,sK0))
| ( -2 = $sum(1,sK0) ) ),
inference(resolution,[],[f1003,f10]) ).
tff(f1057,plain,
( $less(-2,$sum(1,sK0))
| ( -2 = $sum(1,sK0) ) ),
inference(resolution,[],[f1003,f10]) ).
tff(f1003,plain,
~ $less($sum(1,sK0),-2),
inference(resolution,[],[f988,f133]) ).
tff(f1056,plain,
( $less(-2,$sum(3,sK0))
| ( -2 = $sum(3,sK0) ) ),
inference(resolution,[],[f1002,f10]) ).
tff(f1055,plain,
( $less(-2,$sum(3,sK0))
| ( -2 = $sum(3,sK0) ) ),
inference(resolution,[],[f1002,f10]) ).
tff(f1002,plain,
~ $less($sum(3,sK0),-2),
inference(resolution,[],[f988,f177]) ).
tff(f1054,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum($uminus(X0),X1),$sum($uminus(X1),$sum(X0,X2))) = X2 ),
inference(forward_demodulation,[],[f1044,f4]) ).
tff(f1044,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum($uminus(X0),X1),$sum($sum($uminus(X1),X0),X2)) = X2 ),
inference(superposition,[],[f415,f249]) ).
tff(f1043,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum($uminus(X1),X0)),0)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f323,f249]) ).
tff(f1042,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum($uminus(X1),X0)))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f316,f249]) ).
tff(f1053,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X1,$uminus(X2))) = $uminus($sum(X2,$sum($uminus(X1),X0))) ),
inference(forward_demodulation,[],[f1041,f4]) ).
tff(f1041,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X1),X0))) = $sum($sum($uminus(X0),X1),$uminus(X2)) ),
inference(superposition,[],[f248,f249]) ).
tff(f1040,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X1),X0),$sum($uminus(X0),X1)) ),
inference(superposition,[],[f20,f249]) ).
tff(f1038,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X0),X1),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f7,f249]) ).
tff(f1052,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1037,f4]) ).
tff(f1037,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f6,f249]) ).
tff(f1051,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $sum($uminus($sum(X1,X2)),X0) ),
inference(forward_demodulation,[],[f1050,f249]) ).
tff(f1050,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum($uminus(X0),$sum(X1,X2))) ),
inference(forward_demodulation,[],[f1036,f4]) ).
tff(f1036,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X2),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f6,f249]) ).
tff(f1046,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum($uminus($sum(X0,X1)),X0) ),
inference(evaluation,[],[f1031]) ).
tff(f1031,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0) ),
inference(superposition,[],[f249,f415]) ).
tff(f1030,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f249,f3]) ).
tff(f1029,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f249,f3]) ).
tff(f1049,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $sum($uminus($sum(X0,X2)),X1) ),
inference(forward_demodulation,[],[f1048,f249]) ).
tff(f1048,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($uminus(X1),$sum(X0,X2))) ),
inference(forward_demodulation,[],[f1026,f4]) ).
tff(f1026,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($sum($uminus(X1),X0),X2)) ),
inference(superposition,[],[f249,f249]) ).
tff(f1047,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum(X1,$sum($uminus(X0),X2))) ),
inference(forward_demodulation,[],[f1025,f4]) ).
tff(f1025,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum($sum(X1,$uminus(X0)),X2)) ),
inference(superposition,[],[f249,f248]) ).
tff(f249,plain,
! [X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f6,f13]) ).
tff(f1023,plain,
( $less(-2,$sum(5,sK0))
| ( -2 = $sum(5,sK0) ) ),
inference(resolution,[],[f1001,f10]) ).
tff(f1022,plain,
( $less(-2,$sum(5,sK0))
| ( -2 = $sum(5,sK0) ) ),
inference(resolution,[],[f1001,f10]) ).
tff(f1001,plain,
~ $less($sum(5,sK0),-2),
inference(resolution,[],[f988,f305]) ).
tff(f1020,plain,
~ $less($sum(8,sK0),-2),
inference(forward_demodulation,[],[f999,f3]) ).
tff(f999,plain,
~ $less($sum(sK0,8),-2),
inference(resolution,[],[f988,f559]) ).
tff(f1019,plain,
~ $less($sum(7,sK0),-2),
inference(forward_demodulation,[],[f998,f3]) ).
tff(f998,plain,
~ $less($sum(sK0,7),-2),
inference(resolution,[],[f988,f507]) ).
tff(f1018,plain,
~ $less($sum(6,sK0),-2),
inference(forward_demodulation,[],[f997,f3]) ).
tff(f997,plain,
~ $less($sum(sK0,6),-2),
inference(resolution,[],[f988,f451]) ).
tff(f1017,plain,
~ $less($sum(4,sK0),-2),
inference(forward_demodulation,[],[f996,f3]) ).
tff(f996,plain,
~ $less($sum(sK0,4),-2),
inference(resolution,[],[f988,f302]) ).
tff(f1016,plain,
~ $less($sum(1,sK0),-2),
inference(forward_demodulation,[],[f995,f3]) ).
tff(f995,plain,
~ $less($sum(sK0,1),-2),
inference(resolution,[],[f988,f118]) ).
tff(f1015,plain,
~ $less($sum(3,sK0),-2),
inference(forward_demodulation,[],[f994,f3]) ).
tff(f994,plain,
~ $less($sum(sK0,3),-2),
inference(resolution,[],[f988,f243]) ).
tff(f1014,plain,
~ $less($sum(5,sK0),-2),
inference(forward_demodulation,[],[f993,f3]) ).
tff(f993,plain,
~ $less($sum(sK0,5),-2),
inference(resolution,[],[f988,f369]) ).
tff(f991,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-2)
| ~ $less(X1,X0)
| $less(X1,sK0) ),
inference(resolution,[],[f988,f9]) ).
tff(f988,plain,
! [X0: $int] :
( $less(X0,sK0)
| ~ $less(X0,-2) ),
inference(resolution,[],[f977,f9]) ).
tff(f977,plain,
$less(-2,sK0),
inference(superposition,[],[f689,f967]) ).
tff(f986,plain,
$less(-2,sK0),
inference(global_subsumption,[],[f19,f8,f18,f5,f13,f7,f20,f3,f12,f34,f32,f38,f37,f36,f14,f51,f53,f33,f62,f50,f75,f76,f77,f83,f86,f49,f89,f90,f55,f94,f95,f61,f70,f103,f104,f9,f106,f108,f109,f110,f111,f112,f113,f114,f115,f107,f116,f117,f119,f120,f121,f122,f123,f125,f118,f137,f134,f133,f151,f150,f149,f136,f153,f160,f156,f161,f138,f176,f174,f170,f10,f179,f180,f181,f182,f183,f184,f189,f190,f192,f193,f194,f195,f196,f197,f202,f203,f159,f206,f173,f224,f223,f222,f175,f226,f232,f177,f247,f244,f6,f249,f252,f253,f256,f257,f231,f265,f243,f283,f282,f281,f245,f285,f291,f246,f306,f303,f11,f311,f313,f317,f318,f319,f320,f324,f325,f326,f327,f290,f331,f302,f350,f349,f348,f304,f352,f358,f305,f373,f370,f357,f375,f4,f383,f384,f414,f388,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f369,f432,f431,f430,f428,f371,f434,f440,f372,f455,f452,f439,f457,f462,f314,f465,f466,f467,f469,f471,f472,f473,f451,f488,f487,f486,f484,f453,f490,f496,f454,f511,f508,f495,f513,f518,f321,f520,f521,f522,f524,f507,f540,f539,f538,f536,f509,f542,f548,f510,f563,f560,f547,f565,f570,f559,f586,f585,f584,f582,f385,f589,f590,f591,f592,f594,f595,f596,f602,f603,f604,f601,f605,f561,f607,f613,f562,f628,f627,f626,f624,f625,f612,f630,f635,f415,f637,f639,f640,f641,f645,f647,f648,f651,f685,f684,f683,f661,f679,f677,f676,f675,f674,f673,f672,f682,f694,f699,f697,f706,f698,f707,f713,f686,f725,f691,f730,f735,f733,f742,f692,f750,f687,f755,f760,f758,f767,f688,f775,f316,f780,f781,f782,f783,f785,f786,f787,f789,f724,f801,f734,f803,f809,f749,f822,f680,f824,f829,f827,f836,f681,f844,f759,f849,f855,f323,f860,f861,f862,f864,f865,f866,f868,f774,f881,f689,f883,f887,f888,f886,f895,f690,f902,f903,f828,f908,f914,f843,f927,f678,f929,f933,f934,f932,f941,f248,f962,f945,f946,f947,f963,f965,f953,f955,f956,f957,f966,f960,f968,f970,f971,f972,f973,f974,f967,f977,f980,f981,f982,f976,f983,f985,f984]) ).
tff(f984,plain,
( $less(-2,sK0)
| ( sK0 = -2 ) ),
inference(resolution,[],[f976,f10]) ).
tff(f985,plain,
$less(-2,sK0),
inference(global_subsumption,[],[f19,f8,f18,f5,f13,f7,f20,f3,f12,f34,f32,f38,f37,f36,f14,f51,f53,f33,f62,f50,f75,f76,f77,f83,f86,f49,f89,f90,f55,f94,f95,f61,f70,f103,f104,f9,f106,f108,f109,f110,f111,f112,f113,f114,f115,f107,f116,f117,f119,f120,f121,f122,f123,f125,f118,f137,f134,f133,f151,f150,f149,f136,f153,f160,f156,f161,f138,f176,f174,f170,f10,f179,f180,f181,f182,f183,f184,f189,f190,f192,f193,f194,f195,f196,f197,f202,f203,f159,f206,f173,f224,f223,f222,f175,f226,f232,f177,f247,f244,f6,f249,f252,f253,f256,f257,f231,f265,f243,f283,f282,f281,f245,f285,f291,f246,f306,f303,f11,f311,f313,f317,f318,f319,f320,f324,f325,f326,f327,f290,f331,f302,f350,f349,f348,f304,f352,f358,f305,f373,f370,f357,f375,f4,f383,f384,f414,f388,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f369,f432,f431,f430,f428,f371,f434,f440,f372,f455,f452,f439,f457,f462,f314,f465,f466,f467,f469,f471,f472,f473,f451,f488,f487,f486,f484,f453,f490,f496,f454,f511,f508,f495,f513,f518,f321,f520,f521,f522,f524,f507,f540,f539,f538,f536,f509,f542,f548,f510,f563,f560,f547,f565,f570,f559,f586,f585,f584,f582,f385,f589,f590,f591,f592,f594,f595,f596,f602,f603,f604,f601,f605,f561,f607,f613,f562,f628,f627,f626,f624,f625,f612,f630,f635,f415,f637,f639,f640,f641,f645,f647,f648,f651,f685,f684,f683,f661,f679,f677,f676,f675,f674,f673,f672,f682,f694,f699,f697,f706,f698,f707,f713,f686,f725,f691,f730,f735,f733,f742,f692,f750,f687,f755,f760,f758,f767,f688,f775,f316,f780,f781,f782,f783,f785,f786,f787,f789,f724,f801,f734,f803,f809,f749,f822,f680,f824,f829,f827,f836,f681,f844,f759,f849,f855,f323,f860,f861,f862,f864,f865,f866,f868,f774,f881,f689,f883,f887,f888,f886,f895,f690,f902,f903,f828,f908,f914,f843,f927,f678,f929,f933,f934,f932,f941,f248,f962,f945,f946,f947,f963,f965,f953,f955,f956,f957,f966,f960,f968,f970,f971,f972,f973,f974,f967,f977,f980,f981,f982,f976,f983]) ).
tff(f983,plain,
( $less(-2,sK0)
| ( sK0 = -2 ) ),
inference(resolution,[],[f976,f10]) ).
tff(f976,plain,
~ $less(sK0,-2),
inference(superposition,[],[f690,f967]) ).
tff(f982,plain,
! [X0: $int] :
( $less(-2,$sum(X0,sK0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f11,f967]) ).
tff(f981,plain,
! [X0: $int] :
( $less($sum(X0,sK0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f11,f967]) ).
tff(f980,plain,
! [X0: $int] : ( $sum(-2,X0) = $sum(-5,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f967]) ).
tff(f967,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f960,f3]) ).
tff(f974,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f3,f960]) ).
tff(f973,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f3,f960]) ).
tff(f972,plain,
! [X0: $int] :
( $less(-2,$sum(X0,-5))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f11,f960]) ).
tff(f971,plain,
! [X0: $int] :
( $less($sum(X0,-5),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f11,f960]) ).
tff(f970,plain,
! [X0: $int] : ( $sum(-2,X0) = $sum(sK0,$sum(-5,X0)) ),
inference(superposition,[],[f4,f960]) ).
tff(f968,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f960,f3]) ).
tff(f960,plain,
-2 = $sum(sK0,-5),
inference(evaluation,[],[f948]) ).
tff(f948,plain,
$uminus(2) = $sum(sK0,$uminus(5)),
inference(superposition,[],[f248,f596]) ).
tff(f966,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$sum(X1,$sum($uminus(X0),X2))) = X2 ),
inference(forward_demodulation,[],[f958,f4]) ).
tff(f958,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$sum($sum(X1,$uminus(X0)),X2)) = X2 ),
inference(superposition,[],[f415,f248]) ).
tff(f957,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum(X1,$uminus(X0))),0)
| ~ $less(X2,$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f323,f248]) ).
tff(f956,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum(X1,$uminus(X0))))
| ~ $less($sum(X0,$uminus(X1)),X2) ),
inference(superposition,[],[f316,f248]) ).
tff(f955,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f20,f248]) ).
tff(f953,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum(X0,$uminus(X1)),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f7,f248]) ).
tff(f965,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f964,f6]) ).
tff(f964,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f952,f4]) ).
tff(f952,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f6,f248]) ).
tff(f963,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X0,$sum($uminus(X1),X2))) ),
inference(forward_demodulation,[],[f951,f4]) ).
tff(f951,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($uminus(X2),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f6,f248]) ).
tff(f947,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X2,$uminus($sum(X0,X1))) = $uminus($sum(X0,$sum(X1,$uminus(X2)))) ),
inference(superposition,[],[f248,f4]) ).
tff(f946,plain,
! [X0: $int,X1: $int] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f248,f3]) ).
tff(f945,plain,
! [X0: $int,X1: $int] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f248,f3]) ).
tff(f962,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$uminus($sum(X2,X1))) ),
inference(forward_demodulation,[],[f961,f6]) ).
tff(f961,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$sum($uminus(X1),$uminus(X2))) ),
inference(forward_demodulation,[],[f943,f4]) ).
tff(f943,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$uminus(X2)) = $uminus($sum(X2,$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f248,f248]) ).
tff(f248,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f6,f13]) ).
tff(f941,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-6,sK0))
| $less(X0,5) ),
inference(resolution,[],[f932,f9]) ).
tff(f932,plain,
$less($sum(-6,sK0),5),
inference(resolution,[],[f678,f161]) ).
tff(f934,plain,
! [X0: $int] : $less($sum(X0,-6),X0),
inference(superposition,[],[f678,f3]) ).
tff(f929,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-6,X1))
| $less(X0,X1) ),
inference(resolution,[],[f678,f9]) ).
tff(f678,plain,
! [X0: $int] : $less($sum(-6,X0),X0),
inference(evaluation,[],[f665]) ).
tff(f665,plain,
! [X0: $int] : $less($sum($uminus(6),X0),X0),
inference(superposition,[],[f371,f415]) ).
tff(f927,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-4))),
inference(superposition,[],[f843,f4]) ).
tff(f843,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-4)),
inference(superposition,[],[f681,f3]) ).
tff(f914,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-4)),$sum(X0,X1)),
inference(superposition,[],[f828,f4]) ).
tff(f908,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-4))
| $less(X0,X1) ),
inference(resolution,[],[f828,f9]) ).
tff(f828,plain,
! [X0: $int] : $less($sum(X0,-4),X0),
inference(superposition,[],[f680,f3]) ).
tff(f903,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-5)),
inference(superposition,[],[f690,f3]) ).
tff(f690,plain,
! [X0: $int] : ~ $less(X0,$sum(-5,X0)),
inference(evaluation,[],[f652]) ).
tff(f652,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(5),X0)),
inference(superposition,[],[f305,f415]) ).
tff(f895,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-5,sK0))
| $less(X0,5) ),
inference(resolution,[],[f886,f9]) ).
tff(f886,plain,
$less($sum(-5,sK0),5),
inference(resolution,[],[f689,f161]) ).
tff(f888,plain,
! [X0: $int] : $less($sum(X0,-5),X0),
inference(superposition,[],[f689,f3]) ).
tff(f883,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-5,X1))
| $less(X0,X1) ),
inference(resolution,[],[f689,f9]) ).
tff(f689,plain,
! [X0: $int] : $less($sum(-5,X0),X0),
inference(evaluation,[],[f653]) ).
tff(f653,plain,
! [X0: $int] : $less($sum($uminus(5),X0),X0),
inference(superposition,[],[f304,f415]) ).
tff(f881,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-3))),
inference(superposition,[],[f774,f4]) ).
tff(f774,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-3)),
inference(superposition,[],[f688,f3]) ).
tff(f868,plain,
! [X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),0)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f323,f6]) ).
tff(f866,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,$uminus(X2))),0)
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f323,f4]) ).
tff(f865,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),0)
| ~ $less(X0,X1) ),
inference(superposition,[],[f323,f3]) ).
tff(f864,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),0)
| ~ $less(X0,X1) ),
inference(superposition,[],[f323,f3]) ).
tff(f862,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f323,f13]) ).
tff(f861,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,$uminus(X1)))
| $less(X2,0) ),
inference(resolution,[],[f323,f9]) ).
tff(f860,plain,
! [X0: $int] :
( ~ $less(1,X0)
| $less($uminus(X0),-1) ),
inference(resolution,[],[f323,f61]) ).
tff(f323,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f11,f7]) ).
tff(f855,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-3)),$sum(X0,X1)),
inference(superposition,[],[f759,f4]) ).
tff(f849,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-3))
| $less(X0,X1) ),
inference(resolution,[],[f759,f9]) ).
tff(f759,plain,
! [X0: $int] : $less($sum(X0,-3),X0),
inference(superposition,[],[f687,f3]) ).
tff(f844,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-4)),
inference(superposition,[],[f681,f3]) ).
tff(f681,plain,
! [X0: $int] : ~ $less(X0,$sum(-4,X0)),
inference(evaluation,[],[f662]) ).
tff(f662,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(4),X0)),
inference(superposition,[],[f246,f415]) ).
tff(f836,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-4,sK0))
| $less(X0,5) ),
inference(resolution,[],[f827,f9]) ).
tff(f827,plain,
$less($sum(-4,sK0),5),
inference(resolution,[],[f680,f161]) ).
tff(f829,plain,
! [X0: $int] : $less($sum(X0,-4),X0),
inference(superposition,[],[f680,f3]) ).
tff(f824,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-4,X1))
| $less(X0,X1) ),
inference(resolution,[],[f680,f9]) ).
tff(f680,plain,
! [X0: $int] : $less($sum(-4,X0),X0),
inference(evaluation,[],[f663]) ).
tff(f663,plain,
! [X0: $int] : $less($sum($uminus(4),X0),X0),
inference(superposition,[],[f245,f415]) ).
tff(f822,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-2))),
inference(superposition,[],[f749,f4]) ).
tff(f749,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-2)),
inference(superposition,[],[f692,f3]) ).
tff(f809,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-2)),$sum(X0,X1)),
inference(superposition,[],[f734,f4]) ).
tff(f803,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-2))
| $less(X0,X1) ),
inference(resolution,[],[f734,f9]) ).
tff(f734,plain,
! [X0: $int] : $less($sum(X0,-2),X0),
inference(superposition,[],[f691,f3]) ).
tff(f801,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-1))),
inference(superposition,[],[f724,f4]) ).
tff(f724,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-1)),
inference(superposition,[],[f686,f3]) ).
tff(f789,plain,
! [X0: $int,X1: $int] :
( $less(0,$uminus($sum(X1,X0)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f316,f6]) ).
tff(f787,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X0,$sum(X1,$uminus(X2))))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f316,f4]) ).
tff(f786,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f316,f3]) ).
tff(f785,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f316,f3]) ).
tff(f783,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f316,f13]) ).
tff(f782,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,0)
| $less(X2,$sum(X1,$uminus(X0))) ),
inference(resolution,[],[f316,f9]) ).
tff(f781,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less($uminus(X0),0) ),
inference(resolution,[],[f316,f50]) ).
tff(f780,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,$uminus(X0)),1) ),
inference(resolution,[],[f316,f77]) ).
tff(f316,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f11,f7]) ).
tff(f775,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-3)),
inference(superposition,[],[f688,f3]) ).
tff(f688,plain,
! [X0: $int] : ~ $less(X0,$sum(-3,X0)),
inference(evaluation,[],[f654]) ).
tff(f654,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(3),X0)),
inference(superposition,[],[f177,f415]) ).
tff(f767,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-3,sK0))
| $less(X0,5) ),
inference(resolution,[],[f758,f9]) ).
tff(f758,plain,
$less($sum(-3,sK0),5),
inference(resolution,[],[f687,f161]) ).
tff(f760,plain,
! [X0: $int] : $less($sum(X0,-3),X0),
inference(superposition,[],[f687,f3]) ).
tff(f755,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-3,X1))
| $less(X0,X1) ),
inference(resolution,[],[f687,f9]) ).
tff(f687,plain,
! [X0: $int] : $less($sum(-3,X0),X0),
inference(evaluation,[],[f655]) ).
tff(f655,plain,
! [X0: $int] : $less($sum($uminus(3),X0),X0),
inference(superposition,[],[f175,f415]) ).
tff(f750,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-2)),
inference(superposition,[],[f692,f3]) ).
tff(f692,plain,
! [X0: $int] : ~ $less(X0,$sum(-2,X0)),
inference(evaluation,[],[f649]) ).
tff(f649,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(2),X0)),
inference(superposition,[],[f138,f415]) ).
tff(f742,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-2,sK0))
| $less(X0,5) ),
inference(resolution,[],[f733,f9]) ).
tff(f733,plain,
$less($sum(-2,sK0),5),
inference(resolution,[],[f691,f161]) ).
tff(f735,plain,
! [X0: $int] : $less($sum(X0,-2),X0),
inference(superposition,[],[f691,f3]) ).
tff(f730,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-2,X1))
| $less(X0,X1) ),
inference(resolution,[],[f691,f9]) ).
tff(f691,plain,
! [X0: $int] : $less($sum(-2,X0),X0),
inference(evaluation,[],[f650]) ).
tff(f650,plain,
! [X0: $int] : $less($sum($uminus(2),X0),X0),
inference(superposition,[],[f136,f415]) ).
tff(f725,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-1)),
inference(superposition,[],[f686,f3]) ).
tff(f686,plain,
! [X0: $int] : ~ $less(X0,$sum(-1,X0)),
inference(evaluation,[],[f656]) ).
tff(f656,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(1),X0)),
inference(superposition,[],[f133,f415]) ).
tff(f713,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-1)),$sum(X0,X1)),
inference(superposition,[],[f698,f4]) ).
tff(f707,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-1))
| $less(X0,X1) ),
inference(resolution,[],[f698,f9]) ).
tff(f698,plain,
! [X0: $int] : $less($sum(X0,-1),X0),
inference(superposition,[],[f682,f3]) ).
tff(f706,plain,
! [X0: $int] :
( ~ $less(X0,$sum(-1,sK0))
| $less(X0,5) ),
inference(resolution,[],[f697,f9]) ).
tff(f697,plain,
$less($sum(-1,sK0),5),
inference(resolution,[],[f682,f161]) ).
tff(f699,plain,
! [X0: $int] : $less($sum(X0,-1),X0),
inference(superposition,[],[f682,f3]) ).
tff(f694,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f682,f9]) ).
tff(f682,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f660]) ).
tff(f660,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f37,f415]) ).
tff(f661,plain,
! [X0: $int] : ( $sum(2,X0) = $sum(5,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f385,f415]) ).
tff(f683,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum(-1,X0),X1) ),
inference(evaluation,[],[f659]) ).
tff(f659,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum($uminus(1),X0),X1) ),
inference(superposition,[],[f33,f415]) ).
tff(f684,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum(-1,X0),X1) ),
inference(evaluation,[],[f658]) ).
tff(f658,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum($uminus(1),X0),X1) ),
inference(superposition,[],[f50,f415]) ).
tff(f685,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(-1,X0),-1) ),
inference(evaluation,[],[f657]) ).
tff(f657,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum($uminus(1),X0),-1) ),
inference(superposition,[],[f61,f415]) ).
tff(f651,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f4,f415]) ).
tff(f648,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum(X2,$sum($uminus(X0),X1)))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f415]) ).
tff(f647,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum($uminus(X0),X1)),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f415]) ).
tff(f645,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f415,f4]) ).
tff(f641,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f415,f3]) ).
tff(f640,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f415,f3]) ).
tff(f639,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
inference(superposition,[],[f415,f6]) ).
tff(f637,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(superposition,[],[f415,f13]) ).
tff(f415,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f382]) ).
tff(f382,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f635,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,9))),
inference(superposition,[],[f612,f4]) ).
tff(f630,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,9)) ),
inference(resolution,[],[f612,f9]) ).
tff(f612,plain,
! [X0: $int] : $less(X0,$sum(X0,9)),
inference(superposition,[],[f561,f3]) ).
tff(f625,plain,
! [X0: $int] : ~ $less($sum(X0,9),X0),
inference(superposition,[],[f562,f3]) ).
tff(f628,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f617]) ).
tff(f617,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(1,X0))),
inference(resolution,[],[f562,f33]) ).
tff(f562,plain,
! [X0: $int] : ~ $less($sum(9,X0),X0),
inference(evaluation,[],[f553]) ).
tff(f553,plain,
! [X0: $int] : ~ $less($sum(8,$sum(X0,1)),X0),
inference(resolution,[],[f510,f107]) ).
tff(f613,plain,
! [X0: $int] : $less(X0,$sum(X0,9)),
inference(superposition,[],[f561,f3]) ).
tff(f607,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(9,X1)) ),
inference(resolution,[],[f561,f9]) ).
tff(f561,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f554]) ).
tff(f554,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(X0,1))),
inference(resolution,[],[f510,f12]) ).
tff(f605,plain,
! [X0: $int] :
( ~ $less(X0,$uminus(sK0))
| $less(X0,2) ),
inference(resolution,[],[f601,f9]) ).
tff(f601,plain,
$less($uminus(sK0),2),
inference(superposition,[],[f304,f596]) ).
tff(f604,plain,
! [X0: $int] :
( $less(2,$sum(X0,$uminus(sK0)))
| ~ $less(5,X0) ),
inference(superposition,[],[f11,f596]) ).
tff(f603,plain,
! [X0: $int] :
( $less($sum(X0,$uminus(sK0)),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f11,f596]) ).
tff(f602,plain,
! [X0: $int] : ( $sum(2,X0) = $sum(5,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f4,f596]) ).
tff(f596,plain,
2 = $sum(5,$uminus(sK0)),
inference(evaluation,[],[f588]) ).
tff(f588,plain,
$sum(2,0) = $sum(5,$uminus(sK0)),
inference(superposition,[],[f385,f7]) ).
tff(f595,plain,
! [X0: $int,X1: $int] :
( $less($sum(5,X0),$sum(X1,$sum(sK0,X0)))
| ~ $less(2,X1) ),
inference(superposition,[],[f11,f385]) ).
tff(f594,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$sum(sK0,X0)),$sum(5,X0))
| ~ $less(X1,2) ),
inference(superposition,[],[f11,f385]) ).
tff(f592,plain,
! [X0: $int] : $less($sum(sK0,X0),$sum(5,X0)),
inference(superposition,[],[f136,f385]) ).
tff(f591,plain,
! [X0: $int] : ~ $less($sum(5,X0),$sum(sK0,X0)),
inference(superposition,[],[f138,f385]) ).
tff(f590,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(X0,sK0)) ),
inference(superposition,[],[f385,f3]) ).
tff(f589,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(X0,sK0)) ),
inference(superposition,[],[f385,f3]) ).
tff(f385,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f18]) ).
tff(f582,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,8)),$sum(X0,X1)),
inference(superposition,[],[f559,f4]) ).
tff(f584,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f577]) ).
tff(f577,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),8)),
inference(resolution,[],[f559,f12]) ).
tff(f585,plain,
! [X0: $int] : ~ $less($sum(9,X0),X0),
inference(evaluation,[],[f576]) ).
tff(f576,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),8),X0),
inference(resolution,[],[f559,f107]) ).
tff(f586,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f575]) ).
tff(f575,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),8)),
inference(resolution,[],[f559,f33]) ).
tff(f559,plain,
! [X0: $int] : ~ $less($sum(X0,8),X0),
inference(superposition,[],[f510,f3]) ).
tff(f570,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,8))),
inference(superposition,[],[f547,f4]) ).
tff(f565,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,8)) ),
inference(resolution,[],[f547,f9]) ).
tff(f547,plain,
! [X0: $int] : $less(X0,$sum(X0,8)),
inference(superposition,[],[f509,f3]) ).
tff(f560,plain,
! [X0: $int] : ~ $less($sum(X0,8),X0),
inference(superposition,[],[f510,f3]) ).
tff(f563,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f552]) ).
tff(f552,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(1,X0))),
inference(resolution,[],[f510,f33]) ).
tff(f510,plain,
! [X0: $int] : ~ $less($sum(8,X0),X0),
inference(evaluation,[],[f501]) ).
tff(f501,plain,
! [X0: $int] : ~ $less($sum(7,$sum(X0,1)),X0),
inference(resolution,[],[f454,f107]) ).
tff(f548,plain,
! [X0: $int] : $less(X0,$sum(X0,8)),
inference(superposition,[],[f509,f3]) ).
tff(f542,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(8,X1)) ),
inference(resolution,[],[f509,f9]) ).
tff(f509,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f502]) ).
tff(f502,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(X0,1))),
inference(resolution,[],[f454,f12]) ).
tff(f536,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,7)),$sum(X0,X1)),
inference(superposition,[],[f507,f4]) ).
tff(f538,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f531]) ).
tff(f531,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),7)),
inference(resolution,[],[f507,f12]) ).
tff(f539,plain,
! [X0: $int] : ~ $less($sum(8,X0),X0),
inference(evaluation,[],[f530]) ).
tff(f530,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),7),X0),
inference(resolution,[],[f507,f107]) ).
tff(f540,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f529]) ).
tff(f529,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),7)),
inference(resolution,[],[f507,f33]) ).
tff(f507,plain,
! [X0: $int] : ~ $less($sum(X0,7),X0),
inference(superposition,[],[f454,f3]) ).
tff(f524,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,sK0)),5)
| ~ $less($sum(X0,X1),2) ),
inference(superposition,[],[f321,f4]) ).
tff(f522,plain,
! [X0: $int] :
( $less($sum(sK0,X0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f321,f3]) ).
tff(f521,plain,
! [X0: $int] :
( $less($sum(sK0,X0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f321,f3]) ).
tff(f520,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,2)
| ~ $less(X1,$sum(X0,sK0))
| $less(X1,5) ),
inference(resolution,[],[f321,f9]) ).
tff(f321,plain,
! [X0: $int] :
( $less($sum(X0,sK0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f11,f18]) ).
tff(f518,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,7))),
inference(superposition,[],[f495,f4]) ).
tff(f513,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,7)) ),
inference(resolution,[],[f495,f9]) ).
tff(f495,plain,
! [X0: $int] : $less(X0,$sum(X0,7)),
inference(superposition,[],[f453,f3]) ).
tff(f508,plain,
! [X0: $int] : ~ $less($sum(X0,7),X0),
inference(superposition,[],[f454,f3]) ).
tff(f511,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f500]) ).
tff(f500,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(1,X0))),
inference(resolution,[],[f454,f33]) ).
tff(f454,plain,
! [X0: $int] : ~ $less($sum(7,X0),X0),
inference(evaluation,[],[f445]) ).
tff(f445,plain,
! [X0: $int] : ~ $less($sum(6,$sum(X0,1)),X0),
inference(resolution,[],[f372,f107]) ).
tff(f496,plain,
! [X0: $int] : $less(X0,$sum(X0,7)),
inference(superposition,[],[f453,f3]) ).
tff(f490,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(7,X1)) ),
inference(resolution,[],[f453,f9]) ).
tff(f453,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f446]) ).
tff(f446,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(X0,1))),
inference(resolution,[],[f372,f12]) ).
tff(f484,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,6)),$sum(X0,X1)),
inference(superposition,[],[f451,f4]) ).
tff(f486,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f479]) ).
tff(f479,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),6)),
inference(resolution,[],[f451,f12]) ).
tff(f487,plain,
! [X0: $int] : ~ $less($sum(7,X0),X0),
inference(evaluation,[],[f478]) ).
tff(f478,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),6),X0),
inference(resolution,[],[f451,f107]) ).
tff(f488,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f477]) ).
tff(f477,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),6)),
inference(resolution,[],[f451,f33]) ).
tff(f451,plain,
! [X0: $int] : ~ $less($sum(X0,6),X0),
inference(superposition,[],[f372,f3]) ).
tff(f473,plain,
( $less($uminus(sK0),2)
| ( 2 = $uminus(sK0) ) ),
inference(resolution,[],[f471,f10]) ).
tff(f472,plain,
( $less($uminus(sK0),2)
| ( 2 = $uminus(sK0) ) ),
inference(resolution,[],[f471,f10]) ).
tff(f471,plain,
~ $less(2,$uminus(sK0)),
inference(evaluation,[],[f470]) ).
tff(f470,plain,
( $less(5,0)
| ~ $less(2,$uminus(sK0)) ),
inference(superposition,[],[f314,f20]) ).
tff(f469,plain,
! [X0: $int,X1: $int] :
( $less(5,$sum(X0,$sum(X1,sK0)))
| ~ $less(2,$sum(X0,X1)) ),
inference(superposition,[],[f314,f4]) ).
tff(f467,plain,
! [X0: $int] :
( $less(5,$sum(sK0,X0))
| ~ $less(2,X0) ),
inference(superposition,[],[f314,f3]) ).
tff(f466,plain,
! [X0: $int] :
( $less(5,$sum(sK0,X0))
| ~ $less(2,X0) ),
inference(superposition,[],[f314,f3]) ).
tff(f465,plain,
! [X0: $int,X1: $int] :
( ~ $less(2,X0)
| ~ $less(X1,5)
| $less(X1,$sum(X0,sK0)) ),
inference(resolution,[],[f314,f9]) ).
tff(f314,plain,
! [X0: $int] :
( $less(5,$sum(X0,sK0))
| ~ $less(2,X0) ),
inference(superposition,[],[f11,f18]) ).
tff(f462,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,6))),
inference(superposition,[],[f439,f4]) ).
tff(f457,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,6)) ),
inference(resolution,[],[f439,f9]) ).
tff(f439,plain,
! [X0: $int] : $less(X0,$sum(X0,6)),
inference(superposition,[],[f371,f3]) ).
tff(f452,plain,
! [X0: $int] : ~ $less($sum(X0,6),X0),
inference(superposition,[],[f372,f3]) ).
tff(f455,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f444]) ).
tff(f444,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(1,X0))),
inference(resolution,[],[f372,f33]) ).
tff(f372,plain,
! [X0: $int] : ~ $less($sum(6,X0),X0),
inference(evaluation,[],[f363]) ).
tff(f363,plain,
! [X0: $int] : ~ $less($sum(5,$sum(X0,1)),X0),
inference(resolution,[],[f305,f107]) ).
tff(f440,plain,
! [X0: $int] : $less(X0,$sum(X0,6)),
inference(superposition,[],[f371,f3]) ).
tff(f434,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(6,X1)) ),
inference(resolution,[],[f371,f9]) ).
tff(f371,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f364]) ).
tff(f364,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(X0,1))),
inference(resolution,[],[f305,f12]) ).
tff(f428,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,5)),$sum(X0,X1)),
inference(superposition,[],[f369,f4]) ).
tff(f430,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f423]) ).
tff(f423,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),5)),
inference(resolution,[],[f369,f12]) ).
tff(f431,plain,
! [X0: $int] : ~ $less($sum(6,X0),X0),
inference(evaluation,[],[f422]) ).
tff(f422,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),5),X0),
inference(resolution,[],[f369,f107]) ).
tff(f432,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f421]) ).
tff(f421,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),5)),
inference(resolution,[],[f369,f33]) ).
tff(f369,plain,
! [X0: $int] : ~ $less($sum(X0,5),X0),
inference(superposition,[],[f305,f3]) ).
tff(f413,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,4))),
inference(superposition,[],[f290,f4]) ).
tff(f412,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,4)),$sum(X0,X1)),
inference(superposition,[],[f302,f4]) ).
tff(f411,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f7,f4]) ).
tff(f410,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,1)),$sum(X0,X1)),
inference(superposition,[],[f118,f4]) ).
tff(f409,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f107,f4]) ).
tff(f408,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,1)),1)
| ~ $less($sum(X0,X1),0) ),
inference(superposition,[],[f70,f4]) ).
tff(f407,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(X0,$sum(X1,1)),0)
| $less($sum(X0,X1),-1) ),
inference(superposition,[],[f55,f4]) ).
tff(f406,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,1)),0)
| ~ $less($sum(X0,X1),-1) ),
inference(superposition,[],[f49,f4]) ).
tff(f405,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,1))),
inference(superposition,[],[f32,f4]) ).
tff(f404,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f14,f4]) ).
tff(f403,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f401,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,3))),
inference(superposition,[],[f231,f4]) ).
tff(f400,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,3)),$sum(X0,X1)),
inference(superposition,[],[f243,f4]) ).
tff(f399,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,5))),
inference(superposition,[],[f357,f4]) ).
tff(f398,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,2))),
inference(superposition,[],[f159,f4]) ).
tff(f397,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,2)),$sum(X0,X1)),
inference(superposition,[],[f173,f4]) ).
tff(f396,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f3,f4]) ).
tff(f395,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f3,f4]) ).
tff(f394,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f11,f4]) ).
tff(f393,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f11,f4]) ).
tff(f392,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f3]) ).
tff(f391,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f3]) ).
tff(f388,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f4,f6]) ).
tff(f414,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f387]) ).
tff(f387,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f4,f20]) ).
tff(f384,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f4,f3]) ).
tff(f383,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f4,f3]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f375,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,5)) ),
inference(resolution,[],[f357,f9]) ).
tff(f357,plain,
! [X0: $int] : $less(X0,$sum(X0,5)),
inference(superposition,[],[f304,f3]) ).
tff(f370,plain,
! [X0: $int] : ~ $less($sum(X0,5),X0),
inference(superposition,[],[f305,f3]) ).
tff(f373,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f362]) ).
tff(f362,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(1,X0))),
inference(resolution,[],[f305,f33]) ).
tff(f305,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(evaluation,[],[f296]) ).
tff(f296,plain,
! [X0: $int] : ~ $less($sum(4,$sum(X0,1)),X0),
inference(resolution,[],[f246,f107]) ).
tff(f358,plain,
! [X0: $int] : $less(X0,$sum(X0,5)),
inference(superposition,[],[f304,f3]) ).
tff(f352,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(5,X1)) ),
inference(resolution,[],[f304,f9]) ).
tff(f304,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f297]) ).
tff(f297,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(X0,1))),
inference(resolution,[],[f246,f12]) ).
tff(f348,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f342]) ).
tff(f342,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),4)),
inference(resolution,[],[f302,f12]) ).
tff(f349,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(evaluation,[],[f341]) ).
tff(f341,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),4),X0),
inference(resolution,[],[f302,f107]) ).
tff(f350,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f340]) ).
tff(f340,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),4)),
inference(resolution,[],[f302,f33]) ).
tff(f302,plain,
! [X0: $int] : ~ $less($sum(X0,4),X0),
inference(superposition,[],[f246,f3]) ).
tff(f331,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,4)) ),
inference(resolution,[],[f290,f9]) ).
tff(f290,plain,
! [X0: $int] : $less(X0,$sum(X0,4)),
inference(superposition,[],[f245,f3]) ).
tff(f327,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f11,f6]) ).
tff(f326,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f11,f20]) ).
tff(f325,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f3]) ).
tff(f320,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f11,f6]) ).
tff(f319,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f11,f20]) ).
tff(f318,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f3]) ).
tff(f313,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f11,f9]) ).
tff(f311,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X0,X1)) ),
inference(resolution,[],[f11,f50]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f303,plain,
! [X0: $int] : ~ $less($sum(X0,4),X0),
inference(superposition,[],[f246,f3]) ).
tff(f306,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f295]) ).
tff(f295,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(1,X0))),
inference(resolution,[],[f246,f33]) ).
tff(f246,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f237]) ).
tff(f237,plain,
! [X0: $int] : ~ $less($sum(3,$sum(X0,1)),X0),
inference(resolution,[],[f177,f107]) ).
tff(f291,plain,
! [X0: $int] : $less(X0,$sum(X0,4)),
inference(superposition,[],[f245,f3]) ).
tff(f285,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(4,X1)) ),
inference(resolution,[],[f245,f9]) ).
tff(f245,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f238]) ).
tff(f238,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(X0,1))),
inference(resolution,[],[f177,f12]) ).
tff(f281,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f275]) ).
tff(f275,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),3)),
inference(resolution,[],[f243,f12]) ).
tff(f282,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f274]) ).
tff(f274,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),3),X0),
inference(resolution,[],[f243,f107]) ).
tff(f283,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f273]) ).
tff(f273,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),3)),
inference(resolution,[],[f243,f33]) ).
tff(f243,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f177,f3]) ).
tff(f265,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,3)) ),
inference(resolution,[],[f231,f9]) ).
tff(f231,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f175,f3]) ).
tff(f257,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f3,f6]) ).
tff(f256,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f3,f6]) ).
tff(f253,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f3]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f244,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f177,f3]) ).
tff(f247,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f236]) ).
tff(f236,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(1,X0))),
inference(resolution,[],[f177,f33]) ).
tff(f177,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f165]) ).
tff(f165,plain,
! [X0: $int] : ~ $less($sum(2,$sum(X0,1)),X0),
inference(resolution,[],[f138,f107]) ).
tff(f232,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f175,f3]) ).
tff(f226,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(3,X1)) ),
inference(resolution,[],[f175,f9]) ).
tff(f175,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f167]) ).
tff(f167,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(1,X0))),
inference(resolution,[],[f138,f33]) ).
tff(f222,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f216]) ).
tff(f216,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),2)),
inference(resolution,[],[f173,f12]) ).
tff(f223,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f215]) ).
tff(f215,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),2),X0),
inference(resolution,[],[f173,f107]) ).
tff(f224,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f214]) ).
tff(f214,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),2)),
inference(resolution,[],[f173,f33]) ).
tff(f173,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f138,f3]) ).
tff(f206,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2)) ),
inference(resolution,[],[f159,f9]) ).
tff(f159,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f136,f3]) ).
tff(f203,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f10,f53]) ).
tff(f202,plain,
! [X0: $int] :
( $less(X0,0)
| ( 0 = X0 )
| ~ $less(X0,1) ),
inference(resolution,[],[f10,f77]) ).
tff(f197,plain,
! [X0: $int] :
( $less(0,$sum(1,X0))
| ( 0 = $sum(1,X0) )
| $less(X0,-1) ),
inference(resolution,[],[f10,f61]) ).
tff(f196,plain,
! [X0: $int] :
( $less(0,$sum(X0,1))
| ( 0 = $sum(X0,1) )
| $less(X0,-1) ),
inference(resolution,[],[f10,f55]) ).
tff(f195,plain,
! [X0: $int] :
( $less(sK0,X0)
| ( sK0 = X0 )
| $less(X0,5) ),
inference(resolution,[],[f10,f161]) ).
tff(f194,plain,
! [X0: $int,X1: $int] :
( $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f50]) ).
tff(f193,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f14]) ).
tff(f192,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f190,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f10,f53]) ).
tff(f189,plain,
! [X0: $int] :
( $less(X0,0)
| ( 0 = X0 )
| ~ $less(X0,1) ),
inference(resolution,[],[f10,f77]) ).
tff(f184,plain,
! [X0: $int] :
( $less(0,$sum(1,X0))
| ( 0 = $sum(1,X0) )
| $less(X0,-1) ),
inference(resolution,[],[f10,f61]) ).
tff(f183,plain,
! [X0: $int] :
( $less(0,$sum(X0,1))
| ( 0 = $sum(X0,1) )
| $less(X0,-1) ),
inference(resolution,[],[f10,f55]) ).
tff(f182,plain,
! [X0: $int] :
( $less(sK0,X0)
| ( sK0 = X0 )
| $less(X0,5) ),
inference(resolution,[],[f10,f161]) ).
tff(f181,plain,
! [X0: $int,X1: $int] :
( $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f50]) ).
tff(f180,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f14]) ).
tff(f179,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f170,plain,
~ $less(5,sK0),
inference(superposition,[],[f138,f18]) ).
tff(f174,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f138,f3]) ).
tff(f176,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f166]) ).
tff(f166,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f138,f12]) ).
tff(f138,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f128]) ).
tff(f128,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),1),X0),
inference(resolution,[],[f118,f107]) ).
tff(f161,plain,
! [X0: $int] :
( ~ $less(X0,sK0)
| $less(X0,5) ),
inference(resolution,[],[f156,f9]) ).
tff(f156,plain,
$less(sK0,5),
inference(superposition,[],[f136,f18]) ).
tff(f160,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f136,f3]) ).
tff(f153,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(2,X1)) ),
inference(resolution,[],[f136,f9]) ).
tff(f136,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f130]) ).
tff(f130,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),1)),
inference(resolution,[],[f118,f33]) ).
tff(f149,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f142]) ).
tff(f142,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(1,X0))),
inference(resolution,[],[f133,f33]) ).
tff(f150,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f141]) ).
tff(f141,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(X0,1))),
inference(resolution,[],[f133,f12]) ).
tff(f151,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f140]) ).
tff(f140,plain,
! [X0: $int] : ~ $less($sum(1,$sum(X0,1)),X0),
inference(resolution,[],[f133,f107]) ).
tff(f133,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f118,f3]) ).
tff(f134,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f118,f3]) ).
tff(f137,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f129]) ).
tff(f129,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f118,f12]) ).
tff(f118,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f107,f8]) ).
tff(f125,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,-1) ),
inference(evaluation,[],[f124]) ).
tff(f124,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,$uminus(1)) ),
inference(superposition,[],[f107,f20]) ).
tff(f123,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f107,f3]) ).
tff(f122,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f107,f3]) ).
tff(f121,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less($sum(X0,1),0) ),
inference(resolution,[],[f107,f53]) ).
tff(f120,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less($sum(X0,1),1) ),
inference(resolution,[],[f107,f77]) ).
tff(f119,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1)) ),
inference(resolution,[],[f107,f9]) ).
tff(f117,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less(1,X0) ),
inference(resolution,[],[f107,f50]) ).
tff(f116,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f107,f14]) ).
tff(f107,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f9,f32]) ).
tff(f115,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-1)
| $less(X0,X1)
| $less(X1,0) ),
inference(resolution,[],[f9,f36]) ).
tff(f114,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,0)
| $less(X0,X1)
| $less(X1,1) ),
inference(resolution,[],[f9,f62]) ).
tff(f113,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,1))
| $less(X0,1)
| ~ $less(X1,0) ),
inference(resolution,[],[f9,f70]) ).
tff(f112,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,1))
| $less(X0,0)
| ~ $less(X1,-1) ),
inference(resolution,[],[f9,f49]) ).
tff(f111,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,1)
| $less(0,X1) ),
inference(resolution,[],[f9,f62]) ).
tff(f110,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,0)
| $less(-1,X1) ),
inference(resolution,[],[f9,f36]) ).
tff(f109,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X2))
| $less(X2,X1) ),
inference(resolution,[],[f9,f33]) ).
tff(f108,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X1)) ),
inference(resolution,[],[f9,f37]) ).
tff(f106,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ),
inference(resolution,[],[f9,f12]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f104,plain,
! [X0: $int] :
( $less($sum(1,X0),1)
| ~ $less(X0,0) ),
inference(superposition,[],[f70,f3]) ).
tff(f103,plain,
! [X0: $int] :
( $less($sum(1,X0),1)
| ~ $less(X0,0) ),
inference(superposition,[],[f70,f3]) ).
tff(f70,plain,
! [X0: $int] :
( $less($sum(X0,1),1)
| ~ $less(X0,0) ),
inference(resolution,[],[f62,f14]) ).
tff(f61,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(resolution,[],[f33,f53]) ).
tff(f95,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(superposition,[],[f55,f3]) ).
tff(f94,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(superposition,[],[f55,f3]) ).
tff(f55,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),0)
| $less(X0,-1) ),
inference(resolution,[],[f53,f12]) ).
tff(f90,plain,
! [X0: $int] :
( $less($sum(1,X0),0)
| ~ $less(X0,-1) ),
inference(superposition,[],[f49,f3]) ).
tff(f89,plain,
! [X0: $int] :
( $less($sum(1,X0),0)
| ~ $less(X0,-1) ),
inference(superposition,[],[f49,f3]) ).
tff(f49,plain,
! [X0: $int] :
( $less($sum(X0,1),0)
| ~ $less(X0,-1) ),
inference(resolution,[],[f14,f36]) ).
tff(f86,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),1)
| $less(X0,0) ),
inference(resolution,[],[f77,f33]) ).
tff(f83,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),1)
| $less(X0,0) ),
inference(resolution,[],[f77,f12]) ).
tff(f77,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,1) ),
inference(superposition,[],[f50,f5]) ).
tff(f76,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(1,X0),1) ),
inference(resolution,[],[f50,f62]) ).
tff(f75,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less($sum(1,X0),0) ),
inference(resolution,[],[f50,f36]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f62,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f33,f5]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f53,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less(X0,0) ),
inference(evaluation,[],[f52]) ).
tff(f52,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f14,f20]) ).
tff(f51,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f36,plain,
! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f12,f20]) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f32,f3]) ).
tff(f38,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f32,f3]) ).
tff(f32,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f20,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
5 = $sum(2,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 3 != sK0 )
& ( 5 = $sum(2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ( 3 != X0 )
& ( $sum(2,X0) = 5 ) )
=> ( ( 3 != sK0 )
& ( 5 = $sum(2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( $sum(2,X0) = 5 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum2_only_3_5) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f19,plain,
3 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : ARI065_1 : TPTP v8.2.0. Released v5.0.0.
% 0.05/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n027.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun May 19 13:07:07 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (23207)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (23212)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (23214)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.37 % (23212)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (23212)Terminated due to inappropriate strategy.
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (23212)Termination reason: Inappropriate
% 0.12/0.37
% 0.12/0.37 % (23212)Memory used [KB]: 722
% 0.12/0.37 % (23212)Time elapsed: 0.002 s
% 0.12/0.37 % (23212)Instructions burned: 2 (million)
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23212)------------------------------
% 0.12/0.37 % (23209)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37 % (23209)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (23209)Terminated due to inappropriate strategy.
% 0.12/0.37 % (23209)------------------------------
% 0.12/0.37 % (23209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (23209)Termination reason: Inappropriate
% 0.12/0.37
% 0.12/0.37 % (23209)Memory used [KB]: 723
% 0.12/0.37 % (23209)Time elapsed: 0.002 s
% 0.12/0.37 % (23209)Instructions burned: 2 (million)
% 0.12/0.37 % (23209)------------------------------
% 0.12/0.37 % (23209)------------------------------
% 0.12/0.37 % (23210)WARNING: value z3 for option sas not known
% 0.12/0.37 % (23208)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 % (23208)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (23208)Terminated due to inappropriate strategy.
% 0.12/0.37 % (23208)------------------------------
% 0.12/0.37 % (23208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (23208)Termination reason: Inappropriate
% 0.12/0.37
% 0.12/0.37 % (23208)Memory used [KB]: 722
% 0.12/0.37 % (23208)Time elapsed: 0.002 s
% 0.12/0.37 % (23215)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.37 % (23208)Instructions burned: 2 (million)
% 0.12/0.37 % (23208)------------------------------
% 0.12/0.37 % (23208)------------------------------
% 0.12/0.37 % (23210)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.38 % (23213)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.38 % (23216)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.12/0.38 % (23216)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.38 % (23216)Terminated due to inappropriate strategy.
% 0.12/0.38 % (23216)------------------------------
% 0.12/0.38 % (23216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.38 % (23216)Termination reason: Inappropriate
% 0.12/0.38
% 0.12/0.38 % (23216)Memory used [KB]: 722
% 0.12/0.38 % (23216)Time elapsed: 0.002 s
% 0.12/0.38 % (23216)Instructions burned: 2 (million)
% 0.12/0.38 % (23216)------------------------------
% 0.12/0.38 % (23216)------------------------------
% 0.12/0.38 % (23217)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.12/0.39 % (23218)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.12/0.40 % (23219)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.18/0.42 % (23210)First to succeed.
% 0.18/0.42 % (23213)Also succeeded, but the first one will report.
% 0.18/0.43 % (23210)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23207"
% 0.18/0.43 % (23210)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.44 % (23210)------------------------------
% 0.18/0.44 % (23210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.44 % (23210)Termination reason: Refutation
% 0.18/0.44
% 0.18/0.44 % (23210)Memory used [KB]: 1501
% 0.18/0.44 % (23210)Time elapsed: 0.059 s
% 0.18/0.44 % (23210)Instructions burned: 100 (million)
% 0.18/0.44 % (23207)Success in time 0.077 s
%------------------------------------------------------------------------------