TSTP Solution File: ARI092_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI092_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 04:35:20 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of formulae : 885 ( 575 unt; 1 typ; 0 def)
% Number of atoms : 1230 ( 212 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 843 ( 497 ~; 338 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 5417 (1017 atm;1962 fun;1208 num;1230 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 : 30 ( 1 usr; 27 con; 0-2 aty)
% Number of variables : 1230 (1228 !; 2 ?;1230 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(f1903,plain,
$false,
inference(global_subsumption,[],[f20,f9,f19,f6,f14,f8,f21,f4,f13,f35,f33,f39,f38,f37,f15,f52,f54,f34,f63,f51,f76,f77,f78,f84,f87,f50,f90,f91,f56,f95,f96,f62,f71,f104,f105,f10,f107,f109,f110,f111,f112,f113,f114,f115,f116,f108,f117,f118,f120,f121,f122,f123,f124,f126,f119,f138,f135,f134,f152,f151,f150,f137,f154,f160,f139,f172,f170,f159,f175,f11,f182,f183,f184,f185,f186,f190,f191,f193,f194,f195,f196,f197,f201,f202,f169,f216,f215,f214,f171,f218,f224,f173,f239,f236,f223,f241,f7,f252,f255,f256,f235,f275,f274,f273,f237,f277,f283,f238,f298,f295,f282,f300,f294,f318,f317,f316,f12,f324,f326,f331,f332,f333,f338,f339,f340,f296,f344,f351,f347,f352,f297,f368,f365,f361,f350,f372,f5,f380,f381,f411,f385,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f364,f429,f428,f427,f425,f366,f431,f437,f367,f452,f449,f436,f454,f459,f448,f475,f474,f473,f471,f327,f477,f486,f479,f480,f482,f483,f485,f488,f487,f450,f504,f510,f451,f525,f522,f334,f526,f528,f529,f531,f532,f509,f535,f540,f521,f556,f555,f554,f552,f523,f558,f564,f524,f579,f576,f382,f593,f581,f584,f585,f586,f587,f589,f590,f591,f598,f599,f600,f563,f602,f607,f575,f623,f622,f621,f619,f577,f625,f631,f578,f646,f643,f412,f647,f649,f650,f651,f655,f657,f658,f665,f697,f695,f694,f693,f692,f705,f710,f709,f718,f724,f696,f736,f700,f741,f746,f701,f761,f698,f766,f771,f699,f786,f329,f791,f792,f793,f794,f796,f797,f799,f800,f735,f812,f745,f814,f820,f760,f833,f690,f835,f840,f691,f855,f770,f860,f866,f336,f871,f872,f873,f875,f876,f878,f879,f785,f892,f702,f894,f899,f703,f914,f839,f919,f925,f854,f938,f688,f940,f945,f247,f973,f956,f957,f959,f974,f976,f964,f966,f967,f968,f977,f971,f979,f980,f981,f982,f983,f984,f978,f988,f989,f990,f986,f991,f993,f992,f994,f987,f996,f999,f1020,f1023,f1024,f1025,f1026,f1027,f1028,f1009,f1030,f1031,f248,f1055,f1057,f1037,f1038,f1054,f1059,f1060,f1046,f1048,f1061,f1050,f1051,f1062,f1011,f1063,f1064,f1012,f1065,f1066,f1013,f1067,f1068,f1014,f1069,f1070,f1015,f1071,f1072,f1016,f1073,f1074,f251,f1075,f1106,f1109,f1078,f1079,f1080,f1081,f1086,f1089,f1090,f1092,f1093,f1095,f1096,f1097,f1098,f1099,f1017,f1116,f1117,f689,f1139,f898,f1144,f1151,f913,f1165,f686,f1168,f1174,f687,f1189,f944,f1194,f1201,f1138,f1214,f684,f1216,f1222,f685,f1237,f1173,f1242,f1249,f1188,f1262,f630,f1265,f1270,f642,f1287,f1286,f1285,f1283,f644,f1290,f1294,f645,f1316,f1309,f1307,f1317,f1318,f682,f1319,f1325,f683,f1340,f1221,f1345,f1352,f1236,f1365,f330,f1376,f1386,f1388,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1399,f1400,f1401,f1402,f1403,f1404,f1418,f1406,f1408,f1419,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1293,f1421,f1426,f1298,f1428,f1434,f1308,f1457,f1456,f1455,f1453,f1313,f1466,f1314,f1472,f1476,f1315,f1499,f1491,f1492,f1490,f1500,f1501,f1324,f1502,f1509,f1339,f1523,f1433,f1525,f1532,f1465,f1546,f337,f1558,f1571,f1572,f1573,f1601,f1575,f1577,f1602,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1596,f1597,f1598,f1599,f1475,f1604,f1609,f1480,f1611,f1617,f1481,f1641,f1640,f1639,f1637,f1496,f1650,f1651,f1497,f1657,f1661,f1665,f1498,f1666,f1684,f1683,f1682,f1676,f1677,f1681,f1675,f1685,f1686,f1616,f1687,f1694,f1647,f1708,f1660,f1711,f1716,f387,f1718,f1719,f1817,f1818,f1812,f1727,f1810,f1809,f1807,f1733,f1735,f1736,f1820,f1824,f1826,f1743,f1744,f1745,f1827,f1747,f1828,f1830,f1750,f1751,f1752,f1753,f1754,f1755,f1831,f1833,f1760,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,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,f1823,f1849,f1841,f1842,f1843,f1844,f1845,f1846,f1838,f1851,f1853,f1852,f1854,f1839,f1857,f1850,f1860,f1855,f1862,f1863,f1808,f1879,f1871,f1872,f1873,f1874,f1875,f1876,f1813,f1880,f1881,f1898,f1896,f1888,f1889,f1890,f1891,f1892,f1893,f1897,f1902]) ).
tff(f1902,plain,
$less(3,sK0),
inference(subsumption_resolution,[],[f1900,f20]) ).
tff(f1900,plain,
( $less(3,sK0)
| ( 3 = sK0 ) ),
inference(resolution,[],[f1897,f11]) ).
tff(f1897,plain,
~ $less(sK0,3),
inference(evaluation,[],[f1886]) ).
tff(f1886,plain,
( $less(0,0)
| ~ $less(sK0,3) ),
inference(superposition,[],[f329,f1813]) ).
tff(f1893,plain,
! [X0: $int] :
( $less(0,$sum($uminus(sK0),X0))
| ~ $less(3,X0) ),
inference(superposition,[],[f337,f1813]) ).
tff(f1892,plain,
! [X0: $int] :
( $less($sum(X0,3),0)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f337,f1813]) ).
tff(f1891,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),0)
| ~ $less(X0,3) ),
inference(superposition,[],[f330,f1813]) ).
tff(f1890,plain,
! [X0: $int] :
( $less(0,$sum(X0,3))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f330,f1813]) ).
tff(f1889,plain,
! [X0: $int] :
( $less(0,$sum(X0,$uminus(sK0)))
| ~ $less(3,X0) ),
inference(superposition,[],[f12,f1813]) ).
tff(f1888,plain,
! [X0: $int] :
( $less($sum(X0,$uminus(sK0)),0)
| ~ $less(X0,3) ),
inference(superposition,[],[f12,f1813]) ).
tff(f1896,plain,
! [X0: $int] : ( $sum(3,$sum($uminus(sK0),X0)) = X0 ),
inference(evaluation,[],[f1887]) ).
tff(f1887,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(3,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f5,f1813]) ).
tff(f1898,plain,
~ $less(3,sK0),
inference(evaluation,[],[f1885]) ).
tff(f1885,plain,
( $less(0,0)
| ~ $less(3,sK0) ),
inference(superposition,[],[f336,f1813]) ).
tff(f1881,plain,
$less($uminus(sK0),0),
inference(superposition,[],[f171,f1813]) ).
tff(f1880,plain,
~ $less(0,$uminus(sK0)),
inference(superposition,[],[f173,f1813]) ).
tff(f1813,plain,
0 = $sum(3,$uminus(sK0)),
inference(evaluation,[],[f1724]) ).
tff(f1724,plain,
0 = $sum(5,$sum($uminus(sK0),$uminus(2))),
inference(superposition,[],[f387,f19]) ).
tff(f1876,plain,
! [X0: $int] :
( $less(0,$sum(-3,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f337,f1808]) ).
tff(f1875,plain,
! [X0: $int] :
( $less($sum(X0,sK0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f337,f1808]) ).
tff(f1874,plain,
! [X0: $int] :
( $less($sum(-3,X0),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f330,f1808]) ).
tff(f1873,plain,
! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f330,f1808]) ).
tff(f1872,plain,
! [X0: $int] :
( $less(0,$sum(X0,-3))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f1808]) ).
tff(f1871,plain,
! [X0: $int] :
( $less($sum(X0,-3),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f12,f1808]) ).
tff(f1879,plain,
! [X0: $int] : ( $sum(sK0,$sum(-3,X0)) = X0 ),
inference(evaluation,[],[f1870]) ).
tff(f1870,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(sK0,$sum(-3,X0)) ),
inference(superposition,[],[f5,f1808]) ).
tff(f1808,plain,
0 = $sum(sK0,-3),
inference(evaluation,[],[f1731]) ).
tff(f1731,plain,
0 = $sum(sK0,$sum(-5,$uminus(-2))),
inference(superposition,[],[f387,f971]) ).
tff(f1863,plain,
( $less(1,sK0)
| ( 1 = sK0 ) ),
inference(resolution,[],[f1855,f11]) ).
tff(f1862,plain,
( $less(1,sK0)
| ( 1 = sK0 ) ),
inference(resolution,[],[f1855,f11]) ).
tff(f1855,plain,
~ $less(sK0,1),
inference(resolution,[],[f1839,f78]) ).
tff(f1860,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less(X0,sK0) ),
inference(resolution,[],[f1850,f10]) ).
tff(f1850,plain,
$less(-1,sK0),
inference(resolution,[],[f1838,f37]) ).
tff(f1857,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK0) ),
inference(resolution,[],[f1839,f10]) ).
tff(f1839,plain,
$less(0,sK0),
inference(superposition,[],[f698,f1823]) ).
tff(f1854,plain,
$less(0,sK0),
inference(global_subsumption,[],[f20,f9,f19,f6,f14,f8,f21,f4,f13,f35,f33,f39,f38,f37,f15,f52,f54,f34,f63,f51,f76,f77,f78,f84,f87,f50,f90,f91,f56,f95,f96,f62,f71,f104,f105,f10,f107,f109,f110,f111,f112,f113,f114,f115,f116,f108,f117,f118,f120,f121,f122,f123,f124,f126,f119,f138,f135,f134,f152,f151,f150,f137,f154,f160,f139,f172,f170,f159,f175,f11,f182,f183,f184,f185,f186,f190,f191,f193,f194,f195,f196,f197,f201,f202,f169,f216,f215,f214,f171,f218,f224,f173,f239,f236,f223,f241,f7,f252,f255,f256,f235,f275,f274,f273,f237,f277,f283,f238,f298,f295,f282,f300,f294,f318,f317,f316,f12,f324,f326,f331,f332,f333,f338,f339,f340,f296,f344,f351,f347,f352,f297,f368,f365,f361,f350,f372,f5,f380,f381,f411,f385,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f364,f429,f428,f427,f425,f366,f431,f437,f367,f452,f449,f436,f454,f459,f448,f475,f474,f473,f471,f327,f477,f486,f479,f480,f482,f483,f485,f488,f487,f450,f504,f510,f451,f525,f522,f334,f526,f528,f529,f531,f532,f509,f535,f540,f521,f556,f555,f554,f552,f523,f558,f564,f524,f579,f576,f382,f593,f581,f584,f585,f586,f587,f589,f590,f591,f598,f599,f600,f563,f602,f607,f575,f623,f622,f621,f619,f577,f625,f631,f578,f646,f643,f412,f647,f649,f650,f651,f655,f657,f658,f665,f697,f695,f694,f693,f692,f705,f710,f709,f718,f724,f696,f736,f700,f741,f746,f701,f761,f698,f766,f771,f699,f786,f329,f791,f792,f793,f794,f796,f797,f799,f800,f735,f812,f745,f814,f820,f760,f833,f690,f835,f840,f691,f855,f770,f860,f866,f336,f871,f872,f873,f875,f876,f878,f879,f785,f892,f702,f894,f899,f703,f914,f839,f919,f925,f854,f938,f688,f940,f945,f247,f973,f956,f957,f959,f974,f976,f964,f966,f967,f968,f977,f971,f979,f980,f981,f982,f983,f984,f978,f988,f989,f990,f986,f991,f993,f992,f994,f987,f996,f999,f1020,f1023,f1024,f1025,f1026,f1027,f1028,f1009,f1030,f1031,f248,f1055,f1057,f1037,f1038,f1054,f1059,f1060,f1046,f1048,f1061,f1050,f1051,f1062,f1011,f1063,f1064,f1012,f1065,f1066,f1013,f1067,f1068,f1014,f1069,f1070,f1015,f1071,f1072,f1016,f1073,f1074,f251,f1075,f1106,f1109,f1078,f1079,f1080,f1081,f1086,f1089,f1090,f1092,f1093,f1095,f1096,f1097,f1098,f1099,f1017,f1116,f1117,f689,f1139,f898,f1144,f1151,f913,f1165,f686,f1168,f1174,f687,f1189,f944,f1194,f1201,f1138,f1214,f684,f1216,f1222,f685,f1237,f1173,f1242,f1249,f1188,f1262,f630,f1265,f1270,f642,f1287,f1286,f1285,f1283,f644,f1290,f1294,f645,f1316,f1309,f1307,f1317,f1318,f682,f1319,f1325,f683,f1340,f1221,f1345,f1352,f1236,f1365,f330,f1376,f1386,f1388,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1399,f1400,f1401,f1402,f1403,f1404,f1418,f1406,f1408,f1419,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1293,f1421,f1426,f1298,f1428,f1434,f1308,f1457,f1456,f1455,f1453,f1313,f1466,f1314,f1472,f1476,f1315,f1499,f1491,f1492,f1490,f1500,f1501,f1324,f1502,f1509,f1339,f1523,f1433,f1525,f1532,f1465,f1546,f337,f1558,f1571,f1572,f1573,f1601,f1575,f1577,f1602,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1596,f1597,f1598,f1599,f1475,f1604,f1609,f1480,f1611,f1617,f1481,f1641,f1640,f1639,f1637,f1496,f1650,f1651,f1497,f1657,f1661,f1665,f1498,f1666,f1684,f1683,f1682,f1676,f1677,f1681,f1675,f1685,f1686,f1616,f1687,f1694,f1647,f1708,f1660,f1711,f1716,f387,f1718,f1719,f1817,f1813,f1818,f1812,f1727,f1810,f1809,f1808,f1807,f1733,f1735,f1736,f1820,f1824,f1826,f1743,f1744,f1745,f1827,f1747,f1828,f1830,f1750,f1751,f1752,f1753,f1754,f1755,f1831,f1833,f1760,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,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,f1823,f1839,f1849,f1841,f1842,f1843,f1844,f1845,f1846,f1838,f1850,f1851,f1853,f1852]) ).
tff(f1852,plain,
( $less(0,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f1838,f11]) ).
tff(f1853,plain,
$less(0,sK0),
inference(global_subsumption,[],[f20,f9,f19,f6,f14,f8,f21,f4,f13,f35,f33,f39,f38,f37,f15,f52,f54,f34,f63,f51,f76,f77,f78,f84,f87,f50,f90,f91,f56,f95,f96,f62,f71,f104,f105,f10,f107,f109,f110,f111,f112,f113,f114,f115,f116,f108,f117,f118,f120,f121,f122,f123,f124,f126,f119,f138,f135,f134,f152,f151,f150,f137,f154,f160,f139,f172,f170,f159,f175,f11,f182,f183,f184,f185,f186,f190,f191,f193,f194,f195,f196,f197,f201,f202,f169,f216,f215,f214,f171,f218,f224,f173,f239,f236,f223,f241,f7,f252,f255,f256,f235,f275,f274,f273,f237,f277,f283,f238,f298,f295,f282,f300,f294,f318,f317,f316,f12,f324,f326,f331,f332,f333,f338,f339,f340,f296,f344,f351,f347,f352,f297,f368,f365,f361,f350,f372,f5,f380,f381,f411,f385,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f364,f429,f428,f427,f425,f366,f431,f437,f367,f452,f449,f436,f454,f459,f448,f475,f474,f473,f471,f327,f477,f486,f479,f480,f482,f483,f485,f488,f487,f450,f504,f510,f451,f525,f522,f334,f526,f528,f529,f531,f532,f509,f535,f540,f521,f556,f555,f554,f552,f523,f558,f564,f524,f579,f576,f382,f593,f581,f584,f585,f586,f587,f589,f590,f591,f598,f599,f600,f563,f602,f607,f575,f623,f622,f621,f619,f577,f625,f631,f578,f646,f643,f412,f647,f649,f650,f651,f655,f657,f658,f665,f697,f695,f694,f693,f692,f705,f710,f709,f718,f724,f696,f736,f700,f741,f746,f701,f761,f698,f766,f771,f699,f786,f329,f791,f792,f793,f794,f796,f797,f799,f800,f735,f812,f745,f814,f820,f760,f833,f690,f835,f840,f691,f855,f770,f860,f866,f336,f871,f872,f873,f875,f876,f878,f879,f785,f892,f702,f894,f899,f703,f914,f839,f919,f925,f854,f938,f688,f940,f945,f247,f973,f956,f957,f959,f974,f976,f964,f966,f967,f968,f977,f971,f979,f980,f981,f982,f983,f984,f978,f988,f989,f990,f986,f991,f993,f992,f994,f987,f996,f999,f1020,f1023,f1024,f1025,f1026,f1027,f1028,f1009,f1030,f1031,f248,f1055,f1057,f1037,f1038,f1054,f1059,f1060,f1046,f1048,f1061,f1050,f1051,f1062,f1011,f1063,f1064,f1012,f1065,f1066,f1013,f1067,f1068,f1014,f1069,f1070,f1015,f1071,f1072,f1016,f1073,f1074,f251,f1075,f1106,f1109,f1078,f1079,f1080,f1081,f1086,f1089,f1090,f1092,f1093,f1095,f1096,f1097,f1098,f1099,f1017,f1116,f1117,f689,f1139,f898,f1144,f1151,f913,f1165,f686,f1168,f1174,f687,f1189,f944,f1194,f1201,f1138,f1214,f684,f1216,f1222,f685,f1237,f1173,f1242,f1249,f1188,f1262,f630,f1265,f1270,f642,f1287,f1286,f1285,f1283,f644,f1290,f1294,f645,f1316,f1309,f1307,f1317,f1318,f682,f1319,f1325,f683,f1340,f1221,f1345,f1352,f1236,f1365,f330,f1376,f1386,f1388,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1399,f1400,f1401,f1402,f1403,f1404,f1418,f1406,f1408,f1419,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1293,f1421,f1426,f1298,f1428,f1434,f1308,f1457,f1456,f1455,f1453,f1313,f1466,f1314,f1472,f1476,f1315,f1499,f1491,f1492,f1490,f1500,f1501,f1324,f1502,f1509,f1339,f1523,f1433,f1525,f1532,f1465,f1546,f337,f1558,f1571,f1572,f1573,f1601,f1575,f1577,f1602,f1579,f1580,f1581,f1582,f1583,f1584,f1585,f1588,f1589,f1590,f1591,f1592,f1593,f1594,f1596,f1597,f1598,f1599,f1475,f1604,f1609,f1480,f1611,f1617,f1481,f1641,f1640,f1639,f1637,f1496,f1650,f1651,f1497,f1657,f1661,f1665,f1498,f1666,f1684,f1683,f1682,f1676,f1677,f1681,f1675,f1685,f1686,f1616,f1687,f1694,f1647,f1708,f1660,f1711,f1716,f387,f1718,f1719,f1817,f1813,f1818,f1812,f1727,f1810,f1809,f1808,f1807,f1733,f1735,f1736,f1820,f1824,f1826,f1743,f1744,f1745,f1827,f1747,f1828,f1830,f1750,f1751,f1752,f1753,f1754,f1755,f1831,f1833,f1760,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1774,f1775,f1776,f1777,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,f1823,f1839,f1849,f1841,f1842,f1843,f1844,f1845,f1846,f1838,f1850,f1851]) ).
tff(f1851,plain,
( $less(0,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f1838,f11]) ).
tff(f1838,plain,
~ $less(sK0,0),
inference(superposition,[],[f699,f1823]) ).
tff(f1846,plain,
! [X0: $int] :
( $less(0,$sum(sK0,X0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f337,f1823]) ).
tff(f1845,plain,
! [X0: $int] :
( $less($sum(X0,-3),0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f337,f1823]) ).
tff(f1844,plain,
! [X0: $int] :
( $less($sum(sK0,X0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f330,f1823]) ).
tff(f1843,plain,
! [X0: $int] :
( $less(0,$sum(X0,-3))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f330,f1823]) ).
tff(f1842,plain,
! [X0: $int] :
( $less(0,$sum(X0,sK0))
| ~ $less(-3,X0) ),
inference(superposition,[],[f12,f1823]) ).
tff(f1841,plain,
! [X0: $int] :
( $less($sum(X0,sK0),0)
| ~ $less(X0,-3) ),
inference(superposition,[],[f12,f1823]) ).
tff(f1849,plain,
! [X0: $int] : ( $sum(-3,$sum(sK0,X0)) = X0 ),
inference(evaluation,[],[f1840]) ).
tff(f1840,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(-3,$sum(sK0,X0)) ),
inference(superposition,[],[f5,f1823]) ).
tff(f1823,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1822]) ).
tff(f1822,plain,
0 = $sum(2,$sum(sK0,$uminus(5))),
inference(forward_demodulation,[],[f1739,f247]) ).
tff(f1739,plain,
0 = $sum(2,$uminus($sum(5,$uminus(sK0)))),
inference(superposition,[],[f387,f382]) ).
tff(f1802,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(12,X0))),0),
inference(superposition,[],[f1497,f387]) ).
tff(f1801,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(12,X0)))),
inference(superposition,[],[f1498,f387]) ).
tff(f1800,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-11,X0)))),
inference(superposition,[],[f1480,f387]) ).
tff(f1799,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-11,X0))),0),
inference(superposition,[],[f1496,f387]) ).
tff(f1798,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(11,X0))),0),
inference(superposition,[],[f1314,f387]) ).
tff(f1797,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(11,X0)))),
inference(superposition,[],[f1315,f387]) ).
tff(f1796,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-10,X0)))),
inference(superposition,[],[f1298,f387]) ).
tff(f1795,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-10,X0))),0),
inference(superposition,[],[f1313,f387]) ).
tff(f1794,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(10,X0))),0),
inference(superposition,[],[f644,f387]) ).
tff(f1793,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(10,X0)))),
inference(superposition,[],[f645,f387]) ).
tff(f1792,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-9,X0)))),
inference(superposition,[],[f682,f387]) ).
tff(f1791,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-9,X0))),0),
inference(superposition,[],[f683,f387]) ).
tff(f1790,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(9,X0))),0),
inference(superposition,[],[f577,f387]) ).
tff(f1789,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(9,X0)))),
inference(superposition,[],[f578,f387]) ).
tff(f1788,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-8,X0)))),
inference(superposition,[],[f684,f387]) ).
tff(f1787,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-8,X0))),0),
inference(superposition,[],[f685,f387]) ).
tff(f1786,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(8,X0))),0),
inference(superposition,[],[f523,f387]) ).
tff(f1785,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(8,X0)))),
inference(superposition,[],[f524,f387]) ).
tff(f1784,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-7,X0)))),
inference(superposition,[],[f686,f387]) ).
tff(f1783,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-7,X0))),0),
inference(superposition,[],[f687,f387]) ).
tff(f1782,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(7,X0))),0),
inference(superposition,[],[f450,f387]) ).
tff(f1781,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(7,X0)))),
inference(superposition,[],[f451,f387]) ).
tff(f1780,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-6,X0)))),
inference(superposition,[],[f688,f387]) ).
tff(f1779,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-6,X0))),0),
inference(superposition,[],[f689,f387]) ).
tff(f1778,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(6,X0))),0),
inference(superposition,[],[f366,f387]) ).
tff(f1777,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(6,X0)))),
inference(superposition,[],[f367,f387]) ).
tff(f1776,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-5,X0)))),
inference(superposition,[],[f702,f387]) ).
tff(f1775,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-5,X0))),0),
inference(superposition,[],[f703,f387]) ).
tff(f1774,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-4,X0)))),
inference(superposition,[],[f690,f387]) ).
tff(f1773,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-4,X0))),0),
inference(superposition,[],[f691,f387]) ).
tff(f1772,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(4,X0))),0),
inference(superposition,[],[f237,f387]) ).
tff(f1771,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(4,X0)))),
inference(superposition,[],[f238,f387]) ).
tff(f1770,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-3,X0)))),
inference(superposition,[],[f698,f387]) ).
tff(f1769,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-3,X0))),0),
inference(superposition,[],[f699,f387]) ).
tff(f1768,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-2,X0)))),
inference(superposition,[],[f700,f387]) ).
tff(f1767,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-2,X0))),0),
inference(superposition,[],[f701,f387]) ).
tff(f1766,plain,
! [X0: $int] : $less(0,$sum(X0,$uminus($sum(-1,X0)))),
inference(superposition,[],[f692,f387]) ).
tff(f1765,plain,
! [X0: $int] : ~ $less($sum(X0,$uminus($sum(-1,X0))),0),
inference(superposition,[],[f696,f387]) ).
tff(f1764,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(1,X0))),0),
inference(superposition,[],[f38,f387]) ).
tff(f1763,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| $less($sum(X0,$uminus($sum(1,X0))),X1) ),
inference(superposition,[],[f34,f387]) ).
tff(f1762,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,0)
| ~ $less($sum(X0,$uminus($sum(1,X0))),X1) ),
inference(superposition,[],[f51,f387]) ).
tff(f1760,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(1,X0)))),
inference(superposition,[],[f134,f387]) ).
tff(f1833,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X1),$sum($uminus(X0),X1)),X0) ),
inference(forward_demodulation,[],[f1832,f4]) ).
tff(f1832,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($sum($uminus(X0),X1),$uminus(X1)),X0) ),
inference(forward_demodulation,[],[f1805,f247]) ).
tff(f1805,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(evaluation,[],[f1757]) ).
tff(f1757,plain,
! [X0: $int,X1: $int] : ( $uminus(0) = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(superposition,[],[f248,f387]) ).
tff(f1831,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1756,f5]) ).
tff(f1756,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f5,f387]) ).
tff(f1755,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(3,X0))),0),
inference(superposition,[],[f171,f387]) ).
tff(f1754,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(3,X0)))),
inference(superposition,[],[f173,f387]) ).
tff(f1753,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(2,X0))),0),
inference(superposition,[],[f137,f387]) ).
tff(f1752,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(2,X0)))),
inference(superposition,[],[f139,f387]) ).
tff(f1751,plain,
! [X0: $int] : $less($sum(X0,$uminus($sum(5,X0))),0),
inference(superposition,[],[f296,f387]) ).
tff(f1750,plain,
! [X0: $int] : ~ $less(0,$sum(X0,$uminus($sum(5,X0)))),
inference(superposition,[],[f297,f387]) ).
tff(f1830,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1829]) ).
tff(f1829,plain,
0 = $sum(2,$sum(sK0,$uminus(5))),
inference(forward_demodulation,[],[f1749,f247]) ).
tff(f1749,plain,
0 = $sum(2,$uminus($sum(5,$uminus(sK0)))),
inference(superposition,[],[f382,f387]) ).
tff(f1828,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X1,$sum($uminus($sum(X0,X1)),X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1748,f5]) ).
tff(f1748,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,$uminus($sum(X0,X1))),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f337,f387]) ).
tff(f1747,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X0),0)
| ~ $less(X2,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f337,f387]) ).
tff(f1827,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,$sum($uminus($sum(X0,X1)),X2)),0)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1746,f5]) ).
tff(f1746,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($sum(X1,$uminus($sum(X0,X1))),X2),0)
| ~ $less(X2,X0) ),
inference(superposition,[],[f330,f387]) ).
tff(f1745,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,X0))
| ~ $less($sum(X1,$uminus($sum(X0,X1))),X2) ),
inference(superposition,[],[f330,f387]) ).
tff(f1744,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum(X1,$uminus($sum(X0,X1)))))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f387]) ).
tff(f1743,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum(X1,$uminus($sum(X0,X1)))),0)
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f387]) ).
tff(f1826,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(forward_demodulation,[],[f1806,f5]) ).
tff(f1806,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = X2 ),
inference(evaluation,[],[f1742]) ).
tff(f1742,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = $sum(0,X2) ),
inference(superposition,[],[f5,f387]) ).
tff(f1824,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1740,f5]) ).
tff(f1740,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f387,f5]) ).
tff(f1820,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(forward_demodulation,[],[f1737,f4]) ).
tff(f1737,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum($sum(X1,$uminus(X0)),X0))) ),
inference(superposition,[],[f387,f7]) ).
tff(f1736,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(superposition,[],[f387,f251]) ).
tff(f1735,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum(X2,$sum(X0,$sum(X1,$uminus($sum(X2,$sum(X0,X1)))))) ),
inference(superposition,[],[f387,f5]) ).
tff(f1733,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($uminus(X1),$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f387,f247]) ).
tff(f1807,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1732]) ).
tff(f1732,plain,
0 = $sum(-5,$sum(sK0,$uminus(-2))),
inference(superposition,[],[f387,f978]) ).
tff(f1809,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$sum(X1,X0))) ),
inference(evaluation,[],[f1730]) ).
tff(f1730,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X1,X0))))) ),
inference(superposition,[],[f387,f7]) ).
tff(f1810,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$sum(X0,X1))) ),
inference(evaluation,[],[f1729]) ).
tff(f1729,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X0,X1))))) ),
inference(superposition,[],[f387,f251]) ).
tff(f1727,plain,
! [X2: $int,X0: $int,X1: $int] : ( 0 = $sum($sum(X0,X1),$sum(X2,$uminus($sum(X0,$sum(X1,X2))))) ),
inference(superposition,[],[f387,f5]) ).
tff(f1812,plain,
0 = $sum(-3,sK0),
inference(evaluation,[],[f1726]) ).
tff(f1726,plain,
0 = $sum(2,$sum(sK0,$uminus(5))),
inference(superposition,[],[f387,f591]) ).
tff(f1818,plain,
! [X0: $int] : ( 0 = $sum(5,$sum($uminus(sK0),$sum(X0,$uminus($sum(2,X0))))) ),
inference(forward_demodulation,[],[f1725,f5]) ).
tff(f1725,plain,
! [X0: $int] : ( 0 = $sum(5,$sum($sum($uminus(sK0),X0),$uminus($sum(2,X0)))) ),
inference(superposition,[],[f387,f382]) ).
tff(f1817,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($uminus(X1),$sum($uminus(X0),X1))) ),
inference(forward_demodulation,[],[f1720,f4]) ).
tff(f1720,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum($sum($uminus(X0),X1),$uminus(X1))) ),
inference(superposition,[],[f387,f412]) ).
tff(f1719,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f387,f4]) ).
tff(f1718,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f387,f4]) ).
tff(f387,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f5,f8]) ).
tff(f1716,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,12))),
inference(superposition,[],[f1660,f5]) ).
tff(f1711,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,12)) ),
inference(resolution,[],[f1660,f10]) ).
tff(f1660,plain,
! [X0: $int] : $less(X0,$sum(X0,12)),
inference(superposition,[],[f1497,f4]) ).
tff(f1708,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-11))),
inference(superposition,[],[f1647,f5]) ).
tff(f1647,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(resolution,[],[f1496,f337]) ).
tff(f1694,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-11)),$sum(X0,X1)),
inference(superposition,[],[f1616,f5]) ).
tff(f1687,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-11))
| $less(X0,X1) ),
inference(resolution,[],[f1616,f10]) ).
tff(f1616,plain,
! [X0: $int] : $less($sum(X0,-11),X0),
inference(superposition,[],[f1480,f4]) ).
tff(f1686,plain,
( $less(-2,$sum(12,sK0))
| ( -2 = $sum(12,sK0) ) ),
inference(resolution,[],[f1675,f11]) ).
tff(f1685,plain,
( $less(-2,$sum(12,sK0))
| ( -2 = $sum(12,sK0) ) ),
inference(resolution,[],[f1675,f11]) ).
tff(f1675,plain,
~ $less($sum(12,sK0),-2),
inference(resolution,[],[f1498,f996]) ).
tff(f1681,plain,
! [X0: $int] : ~ $less(X0,$sum(-12,X0)),
inference(evaluation,[],[f1678]) ).
tff(f1678,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(12),X0)),
inference(superposition,[],[f1498,f412]) ).
tff(f1677,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(superposition,[],[f1498,f4]) ).
tff(f1676,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(superposition,[],[f1498,f4]) ).
tff(f1682,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1672]) ).
tff(f1672,plain,
! [X0: $int] : $less(X0,$sum(12,$sum(X0,1))),
inference(resolution,[],[f1498,f13]) ).
tff(f1683,plain,
! [X0: $int] : ~ $less($sum(13,X0),X0),
inference(evaluation,[],[f1671]) ).
tff(f1671,plain,
! [X0: $int] : ~ $less($sum(12,$sum(X0,1)),X0),
inference(resolution,[],[f1498,f108]) ).
tff(f1684,plain,
! [X0: $int] : $less(X0,$sum(13,X0)),
inference(evaluation,[],[f1670]) ).
tff(f1670,plain,
! [X0: $int] : $less(X0,$sum(12,$sum(1,X0))),
inference(resolution,[],[f1498,f34]) ).
tff(f1666,plain,
! [X0: $int] : ~ $less($sum(X0,12),X0),
inference(resolution,[],[f1498,f330]) ).
tff(f1498,plain,
! [X0: $int] : ~ $less($sum(12,X0),X0),
inference(evaluation,[],[f1486]) ).
tff(f1486,plain,
! [X0: $int] : ~ $less($sum(11,$sum(X0,1)),X0),
inference(resolution,[],[f1315,f108]) ).
tff(f1665,plain,
! [X0: $int] : $less($sum(-12,X0),X0),
inference(evaluation,[],[f1662]) ).
tff(f1662,plain,
! [X0: $int] : $less($sum($uminus(12),X0),X0),
inference(superposition,[],[f1497,f412]) ).
tff(f1661,plain,
! [X0: $int] : $less(X0,$sum(X0,12)),
inference(superposition,[],[f1497,f4]) ).
tff(f1657,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(12,X1)) ),
inference(resolution,[],[f1497,f10]) ).
tff(f1497,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1487]) ).
tff(f1487,plain,
! [X0: $int] : $less(X0,$sum(11,$sum(X0,1))),
inference(resolution,[],[f1315,f13]) ).
tff(f1651,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(superposition,[],[f1496,f4]) ).
tff(f1650,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-11)),
inference(superposition,[],[f1496,f4]) ).
tff(f1496,plain,
! [X0: $int] : ~ $less(X0,$sum(-11,X0)),
inference(evaluation,[],[f1493]) ).
tff(f1493,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(11),X0)),
inference(superposition,[],[f1315,f412]) ).
tff(f1637,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,11)),$sum(X0,X1)),
inference(superposition,[],[f1481,f5]) ).
tff(f1639,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1631]) ).
tff(f1631,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),11)),
inference(resolution,[],[f1481,f13]) ).
tff(f1640,plain,
! [X0: $int] : ~ $less($sum(12,X0),X0),
inference(evaluation,[],[f1630]) ).
tff(f1630,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),11),X0),
inference(resolution,[],[f1481,f108]) ).
tff(f1641,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1629]) ).
tff(f1629,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),11)),
inference(resolution,[],[f1481,f34]) ).
tff(f1481,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(resolution,[],[f1315,f330]) ).
tff(f1617,plain,
! [X0: $int] : $less($sum(X0,-11),X0),
inference(superposition,[],[f1480,f4]) ).
tff(f1611,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-11,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1480,f10]) ).
tff(f1480,plain,
! [X0: $int] : $less($sum(-11,X0),X0),
inference(evaluation,[],[f1477]) ).
tff(f1477,plain,
! [X0: $int] : $less($sum($uminus(11),X0),X0),
inference(superposition,[],[f1314,f412]) ).
tff(f1609,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,11))),
inference(superposition,[],[f1475,f5]) ).
tff(f1604,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,11)) ),
inference(resolution,[],[f1475,f10]) ).
tff(f1475,plain,
! [X0: $int] : $less(X0,$sum(X0,11)),
inference(superposition,[],[f1314,f4]) ).
tff(f1599,plain,
! [X0: $int] :
( $less($sum(X0,-5),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f337,f978]) ).
tff(f1598,plain,
! [X0: $int] :
( $less($sum(X0,sK0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f337,f971]) ).
tff(f1597,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f337,f7]) ).
tff(f1596,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f337,f251]) ).
tff(f1594,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,[],[f337,f5]) ).
tff(f1593,plain,
! [X0: $int] :
( $less($sum(X0,2),5)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f337,f591]) ).
tff(f1592,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,5),$sum(2,X0))
| ~ $less(X1,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f337,f382]) ).
tff(f1591,plain,
! [X0: $int] :
( $less($sum(X0,5),2)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f337,f19]) ).
tff(f1590,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),X0)
| ~ $less(X1,0) ),
inference(superposition,[],[f337,f6]) ).
tff(f1589,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f337,f8]) ).
tff(f1588,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X0),X1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f337,f412]) ).
tff(f1585,plain,
! [X0: $int] :
( $less(-2,$sum(sK0,X0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f337,f978]) ).
tff(f1584,plain,
! [X0: $int] :
( $less(-2,$sum(-5,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f337,f971]) ).
tff(f1583,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f337,f7]) ).
tff(f1582,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f337,f251]) ).
tff(f1581,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X0,X1))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f337,f21]) ).
tff(f1580,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,[],[f337,f5]) ).
tff(f1579,plain,
! [X0: $int] :
( $less(5,$sum(sK0,X0))
| ~ $less(2,X0) ),
inference(superposition,[],[f337,f591]) ).
tff(f1602,plain,
! [X0: $int,X1: $int] :
( $less($sum(2,X0),$sum($uminus(sK0),$sum(X0,X1)))
| ~ $less(5,X1) ),
inference(forward_demodulation,[],[f1578,f5]) ).
tff(f1578,plain,
! [X0: $int,X1: $int] :
( $less($sum(2,X0),$sum($sum($uminus(sK0),X0),X1))
| ~ $less(5,X1) ),
inference(superposition,[],[f337,f382]) ).
tff(f1577,plain,
! [X0: $int] :
( $less(2,$sum($uminus(sK0),X0))
| ~ $less(5,X0) ),
inference(superposition,[],[f337,f19]) ).
tff(f1575,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X0),X1))
| ~ $less(X0,X1) ),
inference(superposition,[],[f337,f8]) ).
tff(f1601,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum($uminus(X0),$sum(X1,X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1574,f5]) ).
tff(f1574,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum($sum($uminus(X0),X1),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f337,f412]) ).
tff(f1573,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f337,f4]) ).
tff(f1572,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f337,f4]) ).
tff(f1571,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X3,X1)) ),
inference(resolution,[],[f337,f10]) ).
tff(f1558,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X0,X1)) ),
inference(resolution,[],[f337,f15]) ).
tff(f337,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f1546,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-10))),
inference(superposition,[],[f1465,f5]) ).
tff(f1465,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-10)),
inference(superposition,[],[f1313,f4]) ).
tff(f1532,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-10)),$sum(X0,X1)),
inference(superposition,[],[f1433,f5]) ).
tff(f1525,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-10))
| $less(X0,X1) ),
inference(resolution,[],[f1433,f10]) ).
tff(f1433,plain,
! [X0: $int] : $less($sum(X0,-10),X0),
inference(superposition,[],[f1298,f4]) ).
tff(f1523,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-9))),
inference(superposition,[],[f1339,f5]) ).
tff(f1339,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-9)),
inference(superposition,[],[f683,f4]) ).
tff(f1509,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-9)),$sum(X0,X1)),
inference(superposition,[],[f1324,f5]) ).
tff(f1502,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-9))
| $less(X0,X1) ),
inference(resolution,[],[f1324,f10]) ).
tff(f1324,plain,
! [X0: $int] : $less($sum(X0,-9),X0),
inference(superposition,[],[f682,f4]) ).
tff(f1501,plain,
( $less(-2,$sum(11,sK0))
| ( -2 = $sum(11,sK0) ) ),
inference(resolution,[],[f1490,f11]) ).
tff(f1500,plain,
( $less(-2,$sum(11,sK0))
| ( -2 = $sum(11,sK0) ) ),
inference(resolution,[],[f1490,f11]) ).
tff(f1490,plain,
~ $less($sum(11,sK0),-2),
inference(resolution,[],[f1315,f996]) ).
tff(f1492,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(superposition,[],[f1315,f4]) ).
tff(f1491,plain,
! [X0: $int] : ~ $less($sum(X0,11),X0),
inference(superposition,[],[f1315,f4]) ).
tff(f1499,plain,
! [X0: $int] : $less(X0,$sum(12,X0)),
inference(evaluation,[],[f1485]) ).
tff(f1485,plain,
! [X0: $int] : $less(X0,$sum(11,$sum(1,X0))),
inference(resolution,[],[f1315,f34]) ).
tff(f1315,plain,
! [X0: $int] : ~ $less($sum(11,X0),X0),
inference(evaluation,[],[f1303]) ).
tff(f1303,plain,
! [X0: $int] : ~ $less($sum(10,$sum(X0,1)),X0),
inference(resolution,[],[f645,f108]) ).
tff(f1476,plain,
! [X0: $int] : $less(X0,$sum(X0,11)),
inference(superposition,[],[f1314,f4]) ).
tff(f1472,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(11,X1)) ),
inference(resolution,[],[f1314,f10]) ).
tff(f1314,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1304]) ).
tff(f1304,plain,
! [X0: $int] : $less(X0,$sum(10,$sum(X0,1))),
inference(resolution,[],[f645,f13]) ).
tff(f1466,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-10)),
inference(superposition,[],[f1313,f4]) ).
tff(f1313,plain,
! [X0: $int] : ~ $less(X0,$sum(-10,X0)),
inference(evaluation,[],[f1310]) ).
tff(f1310,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(10),X0)),
inference(superposition,[],[f645,f412]) ).
tff(f1453,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,10)),$sum(X0,X1)),
inference(superposition,[],[f1308,f5]) ).
tff(f1455,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1447]) ).
tff(f1447,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),10)),
inference(resolution,[],[f1308,f13]) ).
tff(f1456,plain,
! [X0: $int] : ~ $less($sum(11,X0),X0),
inference(evaluation,[],[f1446]) ).
tff(f1446,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),10),X0),
inference(resolution,[],[f1308,f108]) ).
tff(f1457,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1445]) ).
tff(f1445,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),10)),
inference(resolution,[],[f1308,f34]) ).
tff(f1308,plain,
! [X0: $int] : ~ $less($sum(X0,10),X0),
inference(superposition,[],[f645,f4]) ).
tff(f1434,plain,
! [X0: $int] : $less($sum(X0,-10),X0),
inference(superposition,[],[f1298,f4]) ).
tff(f1428,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-10,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1298,f10]) ).
tff(f1298,plain,
! [X0: $int] : $less($sum(-10,X0),X0),
inference(evaluation,[],[f1295]) ).
tff(f1295,plain,
! [X0: $int] : $less($sum($uminus(10),X0),X0),
inference(superposition,[],[f644,f412]) ).
tff(f1426,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,10))),
inference(superposition,[],[f1293,f5]) ).
tff(f1421,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,10)) ),
inference(resolution,[],[f1293,f10]) ).
tff(f1293,plain,
! [X0: $int] : $less(X0,$sum(X0,10)),
inference(superposition,[],[f644,f4]) ).
tff(f1416,plain,
! [X0: $int] :
( $less($sum(sK0,X0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f330,f978]) ).
tff(f1415,plain,
! [X0: $int] :
( $less($sum(-5,X0),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f330,f971]) ).
tff(f1414,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X1),X2),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f330,f7]) ).
tff(f1413,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X1),X2),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f330,f251]) ).
tff(f1412,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,X1),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f330,f21]) ).
tff(f1411,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,[],[f330,f5]) ).
tff(f1410,plain,
! [X0: $int] :
( $less($sum(sK0,X0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f330,f591]) ).
tff(f1419,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(sK0),$sum(X0,X1)),$sum(2,X0))
| ~ $less(X1,5) ),
inference(forward_demodulation,[],[f1409,f5]) ).
tff(f1409,plain,
! [X0: $int,X1: $int] :
( $less($sum($sum($uminus(sK0),X0),X1),$sum(2,X0))
| ~ $less(X1,5) ),
inference(superposition,[],[f330,f382]) ).
tff(f1408,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f330,f19]) ).
tff(f1406,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X0),X1),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f330,f8]) ).
tff(f1418,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($uminus(X0),$sum(X1,X2)),X1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1405,f5]) ).
tff(f1405,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($sum($uminus(X0),X1),X2),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f330,f412]) ).
tff(f1404,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f330,f4]) ).
tff(f1403,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f330,f4]) ).
tff(f1402,plain,
! [X0: $int] :
( $less(-2,$sum(X0,-5))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f330,f978]) ).
tff(f1401,plain,
! [X0: $int] :
( $less(-2,$sum(X0,sK0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f330,f971]) ).
tff(f1400,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f330,f7]) ).
tff(f1399,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f330,f251]) ).
tff(f1397,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,[],[f330,f5]) ).
tff(f1396,plain,
! [X0: $int] :
( $less(5,$sum(X0,2))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f330,f591]) ).
tff(f1395,plain,
! [X0: $int,X1: $int] :
( $less($sum(2,X0),$sum(X1,5))
| ~ $less($sum($uminus(sK0),X0),X1) ),
inference(superposition,[],[f330,f382]) ).
tff(f1394,plain,
! [X0: $int] :
( $less(2,$sum(X0,5))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f330,f19]) ).
tff(f1393,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,X0))
| ~ $less(0,X1) ),
inference(superposition,[],[f330,f6]) ).
tff(f1392,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f330,f8]) ).
tff(f1391,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum(X2,X0))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f330,f412]) ).
tff(f1388,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X3,X0))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f330,f10]) ).
tff(f1386,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X1,X0)) ),
inference(resolution,[],[f330,f51]) ).
tff(f1376,plain,
! [X0: $int] : ~ $less($sum(X0,10),X0),
inference(resolution,[],[f330,f645]) ).
tff(f330,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f1365,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-8))),
inference(superposition,[],[f1236,f5]) ).
tff(f1236,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-8)),
inference(superposition,[],[f685,f4]) ).
tff(f1352,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-8)),$sum(X0,X1)),
inference(superposition,[],[f1221,f5]) ).
tff(f1345,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-8))
| $less(X0,X1) ),
inference(resolution,[],[f1221,f10]) ).
tff(f1221,plain,
! [X0: $int] : $less($sum(X0,-8),X0),
inference(superposition,[],[f684,f4]) ).
tff(f1340,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-9)),
inference(superposition,[],[f683,f4]) ).
tff(f683,plain,
! [X0: $int] : ~ $less(X0,$sum(-9,X0)),
inference(evaluation,[],[f680]) ).
tff(f680,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(9),X0)),
inference(superposition,[],[f578,f412]) ).
tff(f1325,plain,
! [X0: $int] : $less($sum(X0,-9),X0),
inference(superposition,[],[f682,f4]) ).
tff(f1319,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-9,X1))
| $less(X0,X1) ),
inference(resolution,[],[f682,f10]) ).
tff(f682,plain,
! [X0: $int] : $less($sum(-9,X0),X0),
inference(evaluation,[],[f681]) ).
tff(f681,plain,
! [X0: $int] : $less($sum($uminus(9),X0),X0),
inference(superposition,[],[f577,f412]) ).
tff(f1318,plain,
( $less(-2,$sum(10,sK0))
| ( -2 = $sum(10,sK0) ) ),
inference(resolution,[],[f1307,f11]) ).
tff(f1317,plain,
( $less(-2,$sum(10,sK0))
| ( -2 = $sum(10,sK0) ) ),
inference(resolution,[],[f1307,f11]) ).
tff(f1307,plain,
~ $less($sum(10,sK0),-2),
inference(resolution,[],[f645,f996]) ).
tff(f1309,plain,
! [X0: $int] : ~ $less($sum(X0,10),X0),
inference(superposition,[],[f645,f4]) ).
tff(f1316,plain,
! [X0: $int] : $less(X0,$sum(11,X0)),
inference(evaluation,[],[f1302]) ).
tff(f1302,plain,
! [X0: $int] : $less(X0,$sum(10,$sum(1,X0))),
inference(resolution,[],[f645,f34]) ).
tff(f645,plain,
! [X0: $int] : ~ $less($sum(10,X0),X0),
inference(evaluation,[],[f636]) ).
tff(f636,plain,
! [X0: $int] : ~ $less($sum(9,$sum(X0,1)),X0),
inference(resolution,[],[f578,f108]) ).
tff(f1294,plain,
! [X0: $int] : $less(X0,$sum(X0,10)),
inference(superposition,[],[f644,f4]) ).
tff(f1290,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(10,X1)) ),
inference(resolution,[],[f644,f10]) ).
tff(f644,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f637]) ).
tff(f637,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(X0,1))),
inference(resolution,[],[f578,f13]) ).
tff(f1283,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,9)),$sum(X0,X1)),
inference(superposition,[],[f642,f5]) ).
tff(f1285,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f1277]) ).
tff(f1277,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),9)),
inference(resolution,[],[f642,f13]) ).
tff(f1286,plain,
! [X0: $int] : ~ $less($sum(10,X0),X0),
inference(evaluation,[],[f1276]) ).
tff(f1276,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),9),X0),
inference(resolution,[],[f642,f108]) ).
tff(f1287,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f1275]) ).
tff(f1275,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),9)),
inference(resolution,[],[f642,f34]) ).
tff(f642,plain,
! [X0: $int] : ~ $less($sum(X0,9),X0),
inference(superposition,[],[f578,f4]) ).
tff(f1270,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,9))),
inference(superposition,[],[f630,f5]) ).
tff(f1265,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,9)) ),
inference(resolution,[],[f630,f10]) ).
tff(f630,plain,
! [X0: $int] : $less(X0,$sum(X0,9)),
inference(superposition,[],[f577,f4]) ).
tff(f1262,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-7))),
inference(superposition,[],[f1188,f5]) ).
tff(f1188,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-7)),
inference(superposition,[],[f687,f4]) ).
tff(f1249,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-7)),$sum(X0,X1)),
inference(superposition,[],[f1173,f5]) ).
tff(f1242,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-7))
| $less(X0,X1) ),
inference(resolution,[],[f1173,f10]) ).
tff(f1173,plain,
! [X0: $int] : $less($sum(X0,-7),X0),
inference(superposition,[],[f686,f4]) ).
tff(f1237,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-8)),
inference(superposition,[],[f685,f4]) ).
tff(f685,plain,
! [X0: $int] : ~ $less(X0,$sum(-8,X0)),
inference(evaluation,[],[f678]) ).
tff(f678,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(8),X0)),
inference(superposition,[],[f524,f412]) ).
tff(f1222,plain,
! [X0: $int] : $less($sum(X0,-8),X0),
inference(superposition,[],[f684,f4]) ).
tff(f1216,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-8,X1))
| $less(X0,X1) ),
inference(resolution,[],[f684,f10]) ).
tff(f684,plain,
! [X0: $int] : $less($sum(-8,X0),X0),
inference(evaluation,[],[f679]) ).
tff(f679,plain,
! [X0: $int] : $less($sum($uminus(8),X0),X0),
inference(superposition,[],[f523,f412]) ).
tff(f1214,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-6))),
inference(superposition,[],[f1138,f5]) ).
tff(f1138,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-6)),
inference(superposition,[],[f689,f4]) ).
tff(f1201,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-6)),$sum(X0,X1)),
inference(superposition,[],[f944,f5]) ).
tff(f1194,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-6))
| $less(X0,X1) ),
inference(resolution,[],[f944,f10]) ).
tff(f944,plain,
! [X0: $int] : $less($sum(X0,-6),X0),
inference(superposition,[],[f688,f4]) ).
tff(f1189,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-7)),
inference(superposition,[],[f687,f4]) ).
tff(f687,plain,
! [X0: $int] : ~ $less(X0,$sum(-7,X0)),
inference(evaluation,[],[f676]) ).
tff(f676,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(7),X0)),
inference(superposition,[],[f451,f412]) ).
tff(f1174,plain,
! [X0: $int] : $less($sum(X0,-7),X0),
inference(superposition,[],[f686,f4]) ).
tff(f1168,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-7,X1))
| $less(X0,X1) ),
inference(resolution,[],[f686,f10]) ).
tff(f686,plain,
! [X0: $int] : $less($sum(-7,X0),X0),
inference(evaluation,[],[f677]) ).
tff(f677,plain,
! [X0: $int] : $less($sum($uminus(7),X0),X0),
inference(superposition,[],[f450,f412]) ).
tff(f1165,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-5))),
inference(superposition,[],[f913,f5]) ).
tff(f913,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-5)),
inference(superposition,[],[f703,f4]) ).
tff(f1151,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-5)),$sum(X0,X1)),
inference(superposition,[],[f898,f5]) ).
tff(f1144,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-5))
| $less(X0,X1) ),
inference(resolution,[],[f898,f10]) ).
tff(f898,plain,
! [X0: $int] : $less($sum(X0,-5),X0),
inference(superposition,[],[f702,f4]) ).
tff(f1139,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-6)),
inference(superposition,[],[f689,f4]) ).
tff(f689,plain,
! [X0: $int] : ~ $less(X0,$sum(-6,X0)),
inference(evaluation,[],[f674]) ).
tff(f674,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(6),X0)),
inference(superposition,[],[f367,f412]) ).
tff(f1117,plain,
( $less(-2,$sum(9,sK0))
| ( -2 = $sum(9,sK0) ) ),
inference(resolution,[],[f1017,f11]) ).
tff(f1116,plain,
( $less(-2,$sum(9,sK0))
| ( -2 = $sum(9,sK0) ) ),
inference(resolution,[],[f1017,f11]) ).
tff(f1017,plain,
~ $less($sum(9,sK0),-2),
inference(resolution,[],[f996,f578]) ).
tff(f1099,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f12,f251]) ).
tff(f1098,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f12,f251]) ).
tff(f1097,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X0,X1)),X2) ),
inference(superposition,[],[f5,f251]) ).
tff(f1096,plain,
! [X0: $int,X1: $int] :
( $less(0,$uminus($sum(X0,X1)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f329,f251]) ).
tff(f1095,plain,
! [X0: $int,X1: $int] :
( $less($uminus($sum(X0,X1)),0)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f336,f251]) ).
tff(f1093,plain,
! [X0: $int] :
( $less(2,$uminus($sum(X0,sK0)))
| ~ $less(5,$uminus(X0)) ),
inference(superposition,[],[f327,f251]) ).
tff(f1092,plain,
! [X0: $int] :
( $less($uminus($sum(X0,sK0)),2)
| ~ $less($uminus(X0),5) ),
inference(superposition,[],[f334,f251]) ).
tff(f1090,plain,
! [X0: $int] : ( $sum(2,$uminus(X0)) = $sum(5,$uminus($sum(sK0,X0))) ),
inference(superposition,[],[f382,f251]) ).
tff(f1089,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum(X0,$uminus($sum(X0,X1))) ),
inference(superposition,[],[f412,f251]) ).
tff(f1086,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f251]) ).
tff(f1081,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f251,f7]) ).
tff(f1080,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum(X2,$sum($uminus(X0),X1))) ),
inference(superposition,[],[f251,f248]) ).
tff(f1079,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X2,$sum(X0,$uminus(X1)))) ),
inference(superposition,[],[f251,f247]) ).
tff(f1078,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f251,f14]) ).
tff(f1109,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus($sum(X1,X2)),X0) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1108,f248]) ).
tff(f1108,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),$sum(X1,X2))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1107,f5]) ).
tff(f1107,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1077,f5]) ).
tff(f1077,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f251,f248]) ).
tff(f1106,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X0,$sum($uminus(X1),X2))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f1105,f5]) ).
tff(f1105,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f1104,f7]) ).
tff(f1104,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f1076,f5]) ).
tff(f1076,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f251,f247]) ).
tff(f1075,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$uminus(X1)) = $uminus($sum($uminus(X0),X1)) ),
inference(superposition,[],[f251,f14]) ).
tff(f251,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f1074,plain,
( $less(-2,$sum(8,sK0))
| ( -2 = $sum(8,sK0) ) ),
inference(resolution,[],[f1016,f11]) ).
tff(f1073,plain,
( $less(-2,$sum(8,sK0))
| ( -2 = $sum(8,sK0) ) ),
inference(resolution,[],[f1016,f11]) ).
tff(f1016,plain,
~ $less($sum(8,sK0),-2),
inference(resolution,[],[f996,f524]) ).
tff(f1072,plain,
( $less(-2,$sum(7,sK0))
| ( -2 = $sum(7,sK0) ) ),
inference(resolution,[],[f1015,f11]) ).
tff(f1071,plain,
( $less(-2,$sum(7,sK0))
| ( -2 = $sum(7,sK0) ) ),
inference(resolution,[],[f1015,f11]) ).
tff(f1015,plain,
~ $less($sum(7,sK0),-2),
inference(resolution,[],[f996,f451]) ).
tff(f1070,plain,
( $less(-2,$sum(6,sK0))
| ( -2 = $sum(6,sK0) ) ),
inference(resolution,[],[f1014,f11]) ).
tff(f1069,plain,
( $less(-2,$sum(6,sK0))
| ( -2 = $sum(6,sK0) ) ),
inference(resolution,[],[f1014,f11]) ).
tff(f1014,plain,
~ $less($sum(6,sK0),-2),
inference(resolution,[],[f996,f367]) ).
tff(f1068,plain,
( $less(-2,$sum(4,sK0))
| ( -2 = $sum(4,sK0) ) ),
inference(resolution,[],[f1013,f11]) ).
tff(f1067,plain,
( $less(-2,$sum(4,sK0))
| ( -2 = $sum(4,sK0) ) ),
inference(resolution,[],[f1013,f11]) ).
tff(f1013,plain,
~ $less($sum(4,sK0),-2),
inference(resolution,[],[f996,f238]) ).
tff(f1066,plain,
( $less(-2,$sum(1,sK0))
| ( -2 = $sum(1,sK0) ) ),
inference(resolution,[],[f1012,f11]) ).
tff(f1065,plain,
( $less(-2,$sum(1,sK0))
| ( -2 = $sum(1,sK0) ) ),
inference(resolution,[],[f1012,f11]) ).
tff(f1012,plain,
~ $less($sum(1,sK0),-2),
inference(resolution,[],[f996,f134]) ).
tff(f1064,plain,
( $less(-2,$sum(3,sK0))
| ( -2 = $sum(3,sK0) ) ),
inference(resolution,[],[f1011,f11]) ).
tff(f1063,plain,
( $less(-2,$sum(3,sK0))
| ( -2 = $sum(3,sK0) ) ),
inference(resolution,[],[f1011,f11]) ).
tff(f1011,plain,
~ $less($sum(3,sK0),-2),
inference(resolution,[],[f996,f173]) ).
tff(f1062,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum($uminus(X0),X1),$sum($uminus(X1),$sum(X0,X2))) = X2 ),
inference(forward_demodulation,[],[f1052,f5]) ).
tff(f1052,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum($uminus(X0),X1),$sum($sum($uminus(X1),X0),X2)) = X2 ),
inference(superposition,[],[f412,f248]) ).
tff(f1051,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum($uminus(X1),X0)),0)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f336,f248]) ).
tff(f1050,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum($uminus(X1),X0)))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f329,f248]) ).
tff(f1061,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X1,$uminus(X2))) = $uminus($sum(X2,$sum($uminus(X1),X0))) ),
inference(forward_demodulation,[],[f1049,f5]) ).
tff(f1049,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X1),X0))) = $sum($sum($uminus(X0),X1),$uminus(X2)) ),
inference(superposition,[],[f247,f248]) ).
tff(f1048,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X1),X0),$sum($uminus(X0),X1)) ),
inference(superposition,[],[f21,f248]) ).
tff(f1046,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum($uminus(X0),X1),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f8,f248]) ).
tff(f1060,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f1045,f5]) ).
tff(f1045,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f7,f248]) ).
tff(f1059,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $sum($uminus($sum(X1,X2)),X0) ),
inference(forward_demodulation,[],[f1058,f248]) ).
tff(f1058,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum($uminus(X0),$sum(X1,X2))) ),
inference(forward_demodulation,[],[f1044,f5]) ).
tff(f1044,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X2),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f7,f248]) ).
tff(f1054,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum($uminus($sum(X0,X1)),X0) ),
inference(evaluation,[],[f1039]) ).
tff(f1039,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0) ),
inference(superposition,[],[f248,f412]) ).
tff(f1038,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f248,f4]) ).
tff(f1037,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f248,f4]) ).
tff(f1057,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $sum($uminus($sum(X0,X2)),X1) ),
inference(forward_demodulation,[],[f1056,f248]) ).
tff(f1056,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($uminus(X1),$sum(X0,X2))) ),
inference(forward_demodulation,[],[f1034,f5]) ).
tff(f1034,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($sum($uminus(X1),X0),X2)) ),
inference(superposition,[],[f248,f248]) ).
tff(f1055,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum(X1,$sum($uminus(X0),X2))) ),
inference(forward_demodulation,[],[f1033,f5]) ).
tff(f1033,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum($sum(X1,$uminus(X0)),X2)) ),
inference(superposition,[],[f248,f247]) ).
tff(f248,plain,
! [X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f7,f14]) ).
tff(f1031,plain,
( $less(-2,$sum(5,sK0))
| ( -2 = $sum(5,sK0) ) ),
inference(resolution,[],[f1009,f11]) ).
tff(f1030,plain,
( $less(-2,$sum(5,sK0))
| ( -2 = $sum(5,sK0) ) ),
inference(resolution,[],[f1009,f11]) ).
tff(f1009,plain,
~ $less($sum(5,sK0),-2),
inference(resolution,[],[f996,f297]) ).
tff(f1028,plain,
~ $less($sum(8,sK0),-2),
inference(forward_demodulation,[],[f1008,f4]) ).
tff(f1008,plain,
~ $less($sum(sK0,8),-2),
inference(resolution,[],[f996,f575]) ).
tff(f1027,plain,
~ $less($sum(7,sK0),-2),
inference(forward_demodulation,[],[f1007,f4]) ).
tff(f1007,plain,
~ $less($sum(sK0,7),-2),
inference(resolution,[],[f996,f521]) ).
tff(f1026,plain,
~ $less($sum(6,sK0),-2),
inference(forward_demodulation,[],[f1006,f4]) ).
tff(f1006,plain,
~ $less($sum(sK0,6),-2),
inference(resolution,[],[f996,f448]) ).
tff(f1025,plain,
~ $less($sum(4,sK0),-2),
inference(forward_demodulation,[],[f1005,f4]) ).
tff(f1005,plain,
~ $less($sum(sK0,4),-2),
inference(resolution,[],[f996,f294]) ).
tff(f1024,plain,
~ $less($sum(1,sK0),-2),
inference(forward_demodulation,[],[f1004,f4]) ).
tff(f1004,plain,
~ $less($sum(sK0,1),-2),
inference(resolution,[],[f996,f119]) ).
tff(f1023,plain,
~ $less($sum(3,sK0),-2),
inference(forward_demodulation,[],[f1003,f4]) ).
tff(f1003,plain,
~ $less($sum(sK0,3),-2),
inference(resolution,[],[f996,f235]) ).
tff(f1020,plain,
~ $less($sum(5,sK0),-2),
inference(forward_demodulation,[],[f1001,f4]) ).
tff(f1001,plain,
~ $less($sum(sK0,5),-2),
inference(resolution,[],[f996,f364]) ).
tff(f999,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-2)
| ~ $less(X1,X0)
| $less(X1,sK0) ),
inference(resolution,[],[f996,f10]) ).
tff(f996,plain,
! [X0: $int] :
( $less(X0,sK0)
| ~ $less(X0,-2) ),
inference(resolution,[],[f987,f10]) ).
tff(f987,plain,
$less(-2,sK0),
inference(superposition,[],[f702,f978]) ).
tff(f994,plain,
$less(-2,sK0),
inference(global_subsumption,[],[f20,f9,f19,f6,f14,f8,f21,f4,f13,f35,f33,f39,f38,f37,f15,f52,f54,f34,f63,f51,f76,f77,f78,f84,f87,f50,f90,f91,f56,f95,f96,f62,f71,f104,f105,f10,f107,f109,f110,f111,f112,f113,f114,f115,f116,f108,f117,f118,f120,f121,f122,f123,f124,f126,f119,f138,f135,f134,f152,f151,f150,f137,f154,f160,f139,f172,f170,f159,f175,f11,f182,f183,f184,f185,f186,f190,f191,f193,f194,f195,f196,f197,f201,f202,f169,f216,f215,f214,f171,f218,f224,f173,f239,f236,f223,f241,f7,f248,f251,f252,f255,f256,f235,f275,f274,f273,f237,f277,f283,f238,f298,f295,f282,f300,f294,f318,f317,f316,f12,f324,f326,f330,f331,f332,f333,f337,f338,f339,f340,f296,f344,f351,f347,f352,f297,f368,f365,f361,f350,f372,f5,f380,f381,f411,f385,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f364,f429,f428,f427,f425,f366,f431,f437,f367,f452,f449,f436,f454,f459,f448,f475,f474,f473,f471,f327,f477,f486,f479,f480,f482,f483,f485,f488,f487,f450,f504,f510,f451,f525,f522,f334,f526,f528,f529,f531,f532,f509,f535,f540,f521,f556,f555,f554,f552,f523,f558,f564,f524,f579,f576,f382,f593,f581,f584,f585,f586,f587,f589,f590,f591,f598,f599,f600,f563,f602,f607,f575,f623,f622,f621,f619,f577,f625,f630,f631,f578,f646,f645,f644,f642,f643,f412,f647,f649,f650,f651,f655,f657,f658,f665,f697,f695,f694,f693,f689,f687,f686,f685,f684,f683,f682,f692,f705,f710,f709,f718,f724,f696,f736,f700,f741,f746,f701,f761,f698,f766,f771,f699,f786,f329,f791,f792,f793,f794,f796,f797,f799,f800,f735,f812,f745,f814,f820,f760,f833,f690,f835,f840,f691,f855,f770,f860,f866,f336,f871,f872,f873,f875,f876,f878,f879,f785,f892,f702,f894,f898,f899,f703,f913,f914,f839,f919,f925,f854,f938,f688,f940,f944,f945,f247,f973,f956,f957,f959,f974,f976,f964,f966,f967,f968,f977,f971,f979,f980,f981,f982,f983,f984,f978,f987,f988,f989,f990,f986,f991,f993,f992]) ).
tff(f992,plain,
( $less(-2,sK0)
| ( sK0 = -2 ) ),
inference(resolution,[],[f986,f11]) ).
tff(f993,plain,
$less(-2,sK0),
inference(global_subsumption,[],[f20,f9,f19,f6,f14,f8,f21,f4,f13,f35,f33,f39,f38,f37,f15,f52,f54,f34,f63,f51,f76,f77,f78,f84,f87,f50,f90,f91,f56,f95,f96,f62,f71,f104,f105,f10,f107,f109,f110,f111,f112,f113,f114,f115,f116,f108,f117,f118,f120,f121,f122,f123,f124,f126,f119,f138,f135,f134,f152,f151,f150,f137,f154,f160,f139,f172,f170,f159,f175,f11,f182,f183,f184,f185,f186,f190,f191,f193,f194,f195,f196,f197,f201,f202,f169,f216,f215,f214,f171,f218,f224,f173,f239,f236,f223,f241,f7,f248,f251,f252,f255,f256,f235,f275,f274,f273,f237,f277,f283,f238,f298,f295,f282,f300,f294,f318,f317,f316,f12,f324,f326,f330,f331,f332,f333,f337,f338,f339,f340,f296,f344,f351,f347,f352,f297,f368,f365,f361,f350,f372,f5,f380,f381,f411,f385,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f364,f429,f428,f427,f425,f366,f431,f437,f367,f452,f449,f436,f454,f459,f448,f475,f474,f473,f471,f327,f477,f486,f479,f480,f482,f483,f485,f488,f487,f450,f504,f510,f451,f525,f522,f334,f526,f528,f529,f531,f532,f509,f535,f540,f521,f556,f555,f554,f552,f523,f558,f564,f524,f579,f576,f382,f593,f581,f584,f585,f586,f587,f589,f590,f591,f598,f599,f600,f563,f602,f607,f575,f623,f622,f621,f619,f577,f625,f630,f631,f578,f646,f645,f644,f642,f643,f412,f647,f649,f650,f651,f655,f657,f658,f665,f697,f695,f694,f693,f689,f687,f686,f685,f684,f683,f682,f692,f705,f710,f709,f718,f724,f696,f736,f700,f741,f746,f701,f761,f698,f766,f771,f699,f786,f329,f791,f792,f793,f794,f796,f797,f799,f800,f735,f812,f745,f814,f820,f760,f833,f690,f835,f840,f691,f855,f770,f860,f866,f336,f871,f872,f873,f875,f876,f878,f879,f785,f892,f702,f894,f898,f899,f703,f913,f914,f839,f919,f925,f854,f938,f688,f940,f944,f945,f247,f973,f956,f957,f959,f974,f976,f964,f966,f967,f968,f977,f971,f979,f980,f981,f982,f983,f984,f978,f987,f988,f989,f990,f986,f991]) ).
tff(f991,plain,
( $less(-2,sK0)
| ( sK0 = -2 ) ),
inference(resolution,[],[f986,f11]) ).
tff(f986,plain,
~ $less(sK0,-2),
inference(superposition,[],[f703,f978]) ).
tff(f990,plain,
! [X0: $int] :
( $less(-2,$sum(X0,sK0))
| ~ $less(-5,X0) ),
inference(superposition,[],[f12,f978]) ).
tff(f989,plain,
! [X0: $int] :
( $less($sum(X0,sK0),-2)
| ~ $less(X0,-5) ),
inference(superposition,[],[f12,f978]) ).
tff(f988,plain,
! [X0: $int] : ( $sum(-2,X0) = $sum(-5,$sum(sK0,X0)) ),
inference(superposition,[],[f5,f978]) ).
tff(f978,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f971,f4]) ).
tff(f984,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f4,f971]) ).
tff(f983,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f4,f971]) ).
tff(f982,plain,
! [X0: $int] :
( $less(-2,$sum(X0,-5))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f971]) ).
tff(f981,plain,
! [X0: $int] :
( $less($sum(X0,-5),-2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f12,f971]) ).
tff(f980,plain,
! [X0: $int] : ( $sum(-2,X0) = $sum(sK0,$sum(-5,X0)) ),
inference(superposition,[],[f5,f971]) ).
tff(f979,plain,
-2 = $sum(-5,sK0),
inference(superposition,[],[f971,f4]) ).
tff(f971,plain,
-2 = $sum(sK0,-5),
inference(evaluation,[],[f958]) ).
tff(f958,plain,
$uminus(2) = $sum(sK0,$uminus(5)),
inference(superposition,[],[f247,f19]) ).
tff(f977,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$sum(X1,$sum($uminus(X0),X2))) = X2 ),
inference(forward_demodulation,[],[f969,f5]) ).
tff(f969,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$sum($sum(X1,$uminus(X0)),X2)) = X2 ),
inference(superposition,[],[f412,f247]) ).
tff(f968,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum(X1,$uminus(X0))),0)
| ~ $less(X2,$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f336,f247]) ).
tff(f967,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X2,$sum(X1,$uminus(X0))))
| ~ $less($sum(X0,$uminus(X1)),X2) ),
inference(superposition,[],[f329,f247]) ).
tff(f966,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f21,f247]) ).
tff(f964,plain,
! [X0: $int,X1: $int] : ( 0 = $sum($sum(X0,$uminus(X1)),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f8,f247]) ).
tff(f976,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f975,f7]) ).
tff(f975,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f963,f5]) ).
tff(f963,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f7,f247]) ).
tff(f974,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X0,$sum($uminus(X1),X2))) ),
inference(forward_demodulation,[],[f962,f5]) ).
tff(f962,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($uminus(X2),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f7,f247]) ).
tff(f959,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X2,$uminus($sum(X0,X1))) = $uminus($sum(X0,$sum(X1,$uminus(X2)))) ),
inference(superposition,[],[f247,f5]) ).
tff(f957,plain,
! [X0: $int,X1: $int] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f247,f4]) ).
tff(f956,plain,
! [X0: $int,X1: $int] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f247,f4]) ).
tff(f973,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$uminus($sum(X2,X1))) ),
inference(forward_demodulation,[],[f972,f7]) ).
tff(f972,plain,
! [X2: $int,X0: $int,X1: $int] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$sum($uminus(X1),$uminus(X2))) ),
inference(forward_demodulation,[],[f954,f5]) ).
tff(f954,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,$uminus(X1)),$uminus(X2)) = $uminus($sum(X2,$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f247,f247]) ).
tff(f247,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f7,f14]) ).
tff(f945,plain,
! [X0: $int] : $less($sum(X0,-6),X0),
inference(superposition,[],[f688,f4]) ).
tff(f940,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-6,X1))
| $less(X0,X1) ),
inference(resolution,[],[f688,f10]) ).
tff(f688,plain,
! [X0: $int] : $less($sum(-6,X0),X0),
inference(evaluation,[],[f675]) ).
tff(f675,plain,
! [X0: $int] : $less($sum($uminus(6),X0),X0),
inference(superposition,[],[f366,f412]) ).
tff(f938,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-4))),
inference(superposition,[],[f854,f5]) ).
tff(f854,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-4)),
inference(superposition,[],[f691,f4]) ).
tff(f925,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-4)),$sum(X0,X1)),
inference(superposition,[],[f839,f5]) ).
tff(f919,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-4))
| $less(X0,X1) ),
inference(resolution,[],[f839,f10]) ).
tff(f839,plain,
! [X0: $int] : $less($sum(X0,-4),X0),
inference(superposition,[],[f690,f4]) ).
tff(f914,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-5)),
inference(superposition,[],[f703,f4]) ).
tff(f703,plain,
! [X0: $int] : ~ $less(X0,$sum(-5,X0)),
inference(evaluation,[],[f659]) ).
tff(f659,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(5),X0)),
inference(superposition,[],[f297,f412]) ).
tff(f899,plain,
! [X0: $int] : $less($sum(X0,-5),X0),
inference(superposition,[],[f702,f4]) ).
tff(f894,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-5,X1))
| $less(X0,X1) ),
inference(resolution,[],[f702,f10]) ).
tff(f702,plain,
! [X0: $int] : $less($sum(-5,X0),X0),
inference(evaluation,[],[f660]) ).
tff(f660,plain,
! [X0: $int] : $less($sum($uminus(5),X0),X0),
inference(superposition,[],[f296,f412]) ).
tff(f892,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-3))),
inference(superposition,[],[f785,f5]) ).
tff(f785,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-3)),
inference(superposition,[],[f699,f4]) ).
tff(f879,plain,
! [X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),0)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f336,f7]) ).
tff(f878,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,$uminus(X2))),0)
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f336,f5]) ).
tff(f876,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),0)
| ~ $less(X0,X1) ),
inference(superposition,[],[f336,f4]) ).
tff(f875,plain,
! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),0)
| ~ $less(X0,X1) ),
inference(superposition,[],[f336,f4]) ).
tff(f873,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f336,f14]) ).
tff(f872,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,$uminus(X1)))
| $less(X2,0) ),
inference(resolution,[],[f336,f10]) ).
tff(f871,plain,
! [X0: $int] :
( ~ $less(1,X0)
| $less($uminus(X0),-1) ),
inference(resolution,[],[f336,f62]) ).
tff(f336,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f12,f8]) ).
tff(f866,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-3)),$sum(X0,X1)),
inference(superposition,[],[f770,f5]) ).
tff(f860,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-3))
| $less(X0,X1) ),
inference(resolution,[],[f770,f10]) ).
tff(f770,plain,
! [X0: $int] : $less($sum(X0,-3),X0),
inference(superposition,[],[f698,f4]) ).
tff(f855,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-4)),
inference(superposition,[],[f691,f4]) ).
tff(f691,plain,
! [X0: $int] : ~ $less(X0,$sum(-4,X0)),
inference(evaluation,[],[f672]) ).
tff(f672,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(4),X0)),
inference(superposition,[],[f238,f412]) ).
tff(f840,plain,
! [X0: $int] : $less($sum(X0,-4),X0),
inference(superposition,[],[f690,f4]) ).
tff(f835,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-4,X1))
| $less(X0,X1) ),
inference(resolution,[],[f690,f10]) ).
tff(f690,plain,
! [X0: $int] : $less($sum(-4,X0),X0),
inference(evaluation,[],[f673]) ).
tff(f673,plain,
! [X0: $int] : $less($sum($uminus(4),X0),X0),
inference(superposition,[],[f237,f412]) ).
tff(f833,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-2))),
inference(superposition,[],[f760,f5]) ).
tff(f760,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-2)),
inference(superposition,[],[f701,f4]) ).
tff(f820,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-2)),$sum(X0,X1)),
inference(superposition,[],[f745,f5]) ).
tff(f814,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-2))
| $less(X0,X1) ),
inference(resolution,[],[f745,f10]) ).
tff(f745,plain,
! [X0: $int] : $less($sum(X0,-2),X0),
inference(superposition,[],[f700,f4]) ).
tff(f812,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-1))),
inference(superposition,[],[f735,f5]) ).
tff(f735,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-1)),
inference(superposition,[],[f696,f4]) ).
tff(f800,plain,
! [X0: $int,X1: $int] :
( $less(0,$uminus($sum(X1,X0)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f329,f7]) ).
tff(f799,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X0,$sum(X1,$uminus(X2))))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f329,f5]) ).
tff(f797,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f329,f4]) ).
tff(f796,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f329,f4]) ).
tff(f794,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f329,f14]) ).
tff(f793,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,0)
| $less(X2,$sum(X1,$uminus(X0))) ),
inference(resolution,[],[f329,f10]) ).
tff(f792,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less($uminus(X0),0) ),
inference(resolution,[],[f329,f51]) ).
tff(f791,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,$uminus(X0)),1) ),
inference(resolution,[],[f329,f78]) ).
tff(f329,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f12,f8]) ).
tff(f786,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-3)),
inference(superposition,[],[f699,f4]) ).
tff(f699,plain,
! [X0: $int] : ~ $less(X0,$sum(-3,X0)),
inference(evaluation,[],[f663]) ).
tff(f663,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(3),X0)),
inference(superposition,[],[f173,f412]) ).
tff(f771,plain,
! [X0: $int] : $less($sum(X0,-3),X0),
inference(superposition,[],[f698,f4]) ).
tff(f766,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-3,X1))
| $less(X0,X1) ),
inference(resolution,[],[f698,f10]) ).
tff(f698,plain,
! [X0: $int] : $less($sum(-3,X0),X0),
inference(evaluation,[],[f664]) ).
tff(f664,plain,
! [X0: $int] : $less($sum($uminus(3),X0),X0),
inference(superposition,[],[f171,f412]) ).
tff(f761,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-2)),
inference(superposition,[],[f701,f4]) ).
tff(f701,plain,
! [X0: $int] : ~ $less(X0,$sum(-2,X0)),
inference(evaluation,[],[f661]) ).
tff(f661,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(2),X0)),
inference(superposition,[],[f139,f412]) ).
tff(f746,plain,
! [X0: $int] : $less($sum(X0,-2),X0),
inference(superposition,[],[f700,f4]) ).
tff(f741,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-2,X1))
| $less(X0,X1) ),
inference(resolution,[],[f700,f10]) ).
tff(f700,plain,
! [X0: $int] : $less($sum(-2,X0),X0),
inference(evaluation,[],[f662]) ).
tff(f662,plain,
! [X0: $int] : $less($sum($uminus(2),X0),X0),
inference(superposition,[],[f137,f412]) ).
tff(f736,plain,
! [X0: $int] : ~ $less(X0,$sum(X0,-1)),
inference(superposition,[],[f696,f4]) ).
tff(f696,plain,
! [X0: $int] : ~ $less(X0,$sum(-1,X0)),
inference(evaluation,[],[f667]) ).
tff(f667,plain,
! [X0: $int] : ~ $less(X0,$sum($uminus(1),X0)),
inference(superposition,[],[f134,f412]) ).
tff(f724,plain,
! [X0: $int,X1: $int] : $less($sum(X0,$sum(X1,-1)),$sum(X0,X1)),
inference(superposition,[],[f709,f5]) ).
tff(f718,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,-1))
| $less(X0,X1) ),
inference(resolution,[],[f709,f10]) ).
tff(f709,plain,
! [X0: $int] : $less($sum(X0,-1),X0),
inference(superposition,[],[f692,f4]) ).
tff(f710,plain,
! [X0: $int] : $less($sum(X0,-1),X0),
inference(superposition,[],[f692,f4]) ).
tff(f705,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(-1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f692,f10]) ).
tff(f692,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f671]) ).
tff(f671,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f38,f412]) ).
tff(f693,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum(-1,X0),X1) ),
inference(evaluation,[],[f670]) ).
tff(f670,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less($sum($uminus(1),X0),X1) ),
inference(superposition,[],[f34,f412]) ).
tff(f694,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum(-1,X0),X1) ),
inference(evaluation,[],[f669]) ).
tff(f669,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less($sum($uminus(1),X0),X1) ),
inference(superposition,[],[f51,f412]) ).
tff(f695,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(-1,X0),-1) ),
inference(evaluation,[],[f668]) ).
tff(f668,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum($uminus(1),X0),-1) ),
inference(superposition,[],[f62,f412]) ).
tff(f697,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(sK0,X0)) ),
inference(evaluation,[],[f666]) ).
tff(f666,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum($uminus($uminus(sK0)),X0)) ),
inference(superposition,[],[f382,f412]) ).
tff(f665,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f5,f412]) ).
tff(f658,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,$sum(X2,$sum($uminus(X0),X1)))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f412]) ).
tff(f657,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$sum($uminus(X0),X1)),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f412]) ).
tff(f655,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f412,f5]) ).
tff(f651,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f412,f4]) ).
tff(f650,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f412,f4]) ).
tff(f649,plain,
! [X0: $int,X1: $int] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
inference(superposition,[],[f412,f7]) ).
tff(f647,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(superposition,[],[f412,f14]) ).
tff(f412,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f379]) ).
tff(f379,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f643,plain,
! [X0: $int] : ~ $less($sum(X0,9),X0),
inference(superposition,[],[f578,f4]) ).
tff(f646,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f635]) ).
tff(f635,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(1,X0))),
inference(resolution,[],[f578,f34]) ).
tff(f578,plain,
! [X0: $int] : ~ $less($sum(9,X0),X0),
inference(evaluation,[],[f569]) ).
tff(f569,plain,
! [X0: $int] : ~ $less($sum(8,$sum(X0,1)),X0),
inference(resolution,[],[f524,f108]) ).
tff(f631,plain,
! [X0: $int] : $less(X0,$sum(X0,9)),
inference(superposition,[],[f577,f4]) ).
tff(f625,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(9,X1)) ),
inference(resolution,[],[f577,f10]) ).
tff(f577,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f570]) ).
tff(f570,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(X0,1))),
inference(resolution,[],[f524,f13]) ).
tff(f619,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,8)),$sum(X0,X1)),
inference(superposition,[],[f575,f5]) ).
tff(f621,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f614]) ).
tff(f614,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),8)),
inference(resolution,[],[f575,f13]) ).
tff(f622,plain,
! [X0: $int] : ~ $less($sum(9,X0),X0),
inference(evaluation,[],[f613]) ).
tff(f613,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),8),X0),
inference(resolution,[],[f575,f108]) ).
tff(f623,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f612]) ).
tff(f612,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),8)),
inference(resolution,[],[f575,f34]) ).
tff(f575,plain,
! [X0: $int] : ~ $less($sum(X0,8),X0),
inference(superposition,[],[f524,f4]) ).
tff(f607,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,8))),
inference(superposition,[],[f563,f5]) ).
tff(f602,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,8)) ),
inference(resolution,[],[f563,f10]) ).
tff(f563,plain,
! [X0: $int] : $less(X0,$sum(X0,8)),
inference(superposition,[],[f523,f4]) ).
tff(f600,plain,
! [X0: $int] :
( $less(5,$sum(X0,sK0))
| ~ $less(2,X0) ),
inference(superposition,[],[f12,f591]) ).
tff(f599,plain,
! [X0: $int] :
( $less($sum(X0,sK0),5)
| ~ $less(X0,2) ),
inference(superposition,[],[f12,f591]) ).
tff(f598,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(sK0,X0)) ),
inference(superposition,[],[f5,f591]) ).
tff(f591,plain,
5 = $sum(2,sK0),
inference(evaluation,[],[f583]) ).
tff(f583,plain,
$sum(5,0) = $sum(2,$uminus($uminus(sK0))),
inference(superposition,[],[f382,f8]) ).
tff(f590,plain,
! [X0: $int,X1: $int] :
( $less($sum(2,X0),$sum(X1,$sum($uminus(sK0),X0)))
| ~ $less(5,X1) ),
inference(superposition,[],[f12,f382]) ).
tff(f589,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$sum($uminus(sK0),X0)),$sum(2,X0))
| ~ $less(X1,5) ),
inference(superposition,[],[f12,f382]) ).
tff(f587,plain,
! [X0: $int] : $less($sum($uminus(sK0),X0),$sum(2,X0)),
inference(superposition,[],[f296,f382]) ).
tff(f586,plain,
! [X0: $int] : ~ $less($sum(2,X0),$sum($uminus(sK0),X0)),
inference(superposition,[],[f297,f382]) ).
tff(f585,plain,
! [X0: $int] : ( $sum(2,X0) = $sum(5,$sum(X0,$uminus(sK0))) ),
inference(superposition,[],[f382,f4]) ).
tff(f584,plain,
! [X0: $int] : ( $sum(2,X0) = $sum(5,$sum(X0,$uminus(sK0))) ),
inference(superposition,[],[f382,f4]) ).
tff(f581,plain,
! [X0: $int] : ( $sum(2,$uminus(X0)) = $sum(5,$uminus($sum(X0,sK0))) ),
inference(superposition,[],[f382,f7]) ).
tff(f593,plain,
5 = $sum(2,sK0),
inference(evaluation,[],[f580]) ).
tff(f580,plain,
$sum(5,0) = $sum(2,sK0),
inference(superposition,[],[f382,f21]) ).
tff(f382,plain,
! [X0: $int] : ( $sum(2,X0) = $sum(5,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f5,f19]) ).
tff(f576,plain,
! [X0: $int] : ~ $less($sum(X0,8),X0),
inference(superposition,[],[f524,f4]) ).
tff(f579,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f568]) ).
tff(f568,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(1,X0))),
inference(resolution,[],[f524,f34]) ).
tff(f524,plain,
! [X0: $int] : ~ $less($sum(8,X0),X0),
inference(evaluation,[],[f515]) ).
tff(f515,plain,
! [X0: $int] : ~ $less($sum(7,$sum(X0,1)),X0),
inference(resolution,[],[f451,f108]) ).
tff(f564,plain,
! [X0: $int] : $less(X0,$sum(X0,8)),
inference(superposition,[],[f523,f4]) ).
tff(f558,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(8,X1)) ),
inference(resolution,[],[f523,f10]) ).
tff(f523,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f516]) ).
tff(f516,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(X0,1))),
inference(resolution,[],[f451,f13]) ).
tff(f552,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,7)),$sum(X0,X1)),
inference(superposition,[],[f521,f5]) ).
tff(f554,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f547]) ).
tff(f547,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),7)),
inference(resolution,[],[f521,f13]) ).
tff(f555,plain,
! [X0: $int] : ~ $less($sum(8,X0),X0),
inference(evaluation,[],[f546]) ).
tff(f546,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),7),X0),
inference(resolution,[],[f521,f108]) ).
tff(f556,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f545]) ).
tff(f545,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),7)),
inference(resolution,[],[f521,f34]) ).
tff(f521,plain,
! [X0: $int] : ~ $less($sum(X0,7),X0),
inference(superposition,[],[f451,f4]) ).
tff(f540,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,7))),
inference(superposition,[],[f509,f5]) ).
tff(f535,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,7)) ),
inference(resolution,[],[f509,f10]) ).
tff(f509,plain,
! [X0: $int] : $less(X0,$sum(X0,7)),
inference(superposition,[],[f450,f4]) ).
tff(f532,plain,
! [X0: $int] :
( $less($uminus($sum(sK0,X0)),2)
| ~ $less($uminus(X0),5) ),
inference(superposition,[],[f334,f7]) ).
tff(f531,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,$uminus(sK0))),2)
| ~ $less($sum(X0,X1),5) ),
inference(superposition,[],[f334,f5]) ).
tff(f529,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f334,f4]) ).
tff(f528,plain,
! [X0: $int] :
( $less($sum($uminus(sK0),X0),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f334,f4]) ).
tff(f526,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,5)
| ~ $less(X1,$sum(X0,$uminus(sK0)))
| $less(X1,2) ),
inference(resolution,[],[f334,f10]) ).
tff(f334,plain,
! [X0: $int] :
( $less($sum(X0,$uminus(sK0)),2)
| ~ $less(X0,5) ),
inference(superposition,[],[f12,f19]) ).
tff(f522,plain,
! [X0: $int] : ~ $less($sum(X0,7),X0),
inference(superposition,[],[f451,f4]) ).
tff(f525,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f514]) ).
tff(f514,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(1,X0))),
inference(resolution,[],[f451,f34]) ).
tff(f451,plain,
! [X0: $int] : ~ $less($sum(7,X0),X0),
inference(evaluation,[],[f442]) ).
tff(f442,plain,
! [X0: $int] : ~ $less($sum(6,$sum(X0,1)),X0),
inference(resolution,[],[f367,f108]) ).
tff(f510,plain,
! [X0: $int] : $less(X0,$sum(X0,7)),
inference(superposition,[],[f450,f4]) ).
tff(f504,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(7,X1)) ),
inference(resolution,[],[f450,f10]) ).
tff(f450,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f443]) ).
tff(f443,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(X0,1))),
inference(resolution,[],[f367,f13]) ).
tff(f487,plain,
( $less(sK0,5)
| ( 5 = sK0 ) ),
inference(resolution,[],[f485,f11]) ).
tff(f488,plain,
( $less(sK0,5)
| ( 5 = sK0 ) ),
inference(resolution,[],[f485,f11]) ).
tff(f485,plain,
~ $less(5,sK0),
inference(evaluation,[],[f484]) ).
tff(f484,plain,
( $less(2,0)
| ~ $less(5,$uminus($uminus(sK0))) ),
inference(superposition,[],[f327,f21]) ).
tff(f483,plain,
! [X0: $int] :
( $less(2,$uminus($sum(sK0,X0)))
| ~ $less(5,$uminus(X0)) ),
inference(superposition,[],[f327,f7]) ).
tff(f482,plain,
! [X0: $int,X1: $int] :
( $less(2,$sum(X0,$sum(X1,$uminus(sK0))))
| ~ $less(5,$sum(X0,X1)) ),
inference(superposition,[],[f327,f5]) ).
tff(f480,plain,
! [X0: $int] :
( $less(2,$sum($uminus(sK0),X0))
| ~ $less(5,X0) ),
inference(superposition,[],[f327,f4]) ).
tff(f479,plain,
! [X0: $int] :
( $less(2,$sum($uminus(sK0),X0))
| ~ $less(5,X0) ),
inference(superposition,[],[f327,f4]) ).
tff(f486,plain,
~ $less(5,sK0),
inference(evaluation,[],[f478]) ).
tff(f478,plain,
( $less(2,0)
| ~ $less(5,sK0) ),
inference(superposition,[],[f327,f8]) ).
tff(f477,plain,
! [X0: $int,X1: $int] :
( ~ $less(5,X0)
| ~ $less(X1,2)
| $less(X1,$sum(X0,$uminus(sK0))) ),
inference(resolution,[],[f327,f10]) ).
tff(f327,plain,
! [X0: $int] :
( $less(2,$sum(X0,$uminus(sK0)))
| ~ $less(5,X0) ),
inference(superposition,[],[f12,f19]) ).
tff(f471,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,6)),$sum(X0,X1)),
inference(superposition,[],[f448,f5]) ).
tff(f473,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f466]) ).
tff(f466,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),6)),
inference(resolution,[],[f448,f13]) ).
tff(f474,plain,
! [X0: $int] : ~ $less($sum(7,X0),X0),
inference(evaluation,[],[f465]) ).
tff(f465,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),6),X0),
inference(resolution,[],[f448,f108]) ).
tff(f475,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f464]) ).
tff(f464,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),6)),
inference(resolution,[],[f448,f34]) ).
tff(f448,plain,
! [X0: $int] : ~ $less($sum(X0,6),X0),
inference(superposition,[],[f367,f4]) ).
tff(f459,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,6))),
inference(superposition,[],[f436,f5]) ).
tff(f454,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,6)) ),
inference(resolution,[],[f436,f10]) ).
tff(f436,plain,
! [X0: $int] : $less(X0,$sum(X0,6)),
inference(superposition,[],[f366,f4]) ).
tff(f449,plain,
! [X0: $int] : ~ $less($sum(X0,6),X0),
inference(superposition,[],[f367,f4]) ).
tff(f452,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f441]) ).
tff(f441,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(1,X0))),
inference(resolution,[],[f367,f34]) ).
tff(f367,plain,
! [X0: $int] : ~ $less($sum(6,X0),X0),
inference(evaluation,[],[f357]) ).
tff(f357,plain,
! [X0: $int] : ~ $less($sum(5,$sum(X0,1)),X0),
inference(resolution,[],[f297,f108]) ).
tff(f437,plain,
! [X0: $int] : $less(X0,$sum(X0,6)),
inference(superposition,[],[f366,f4]) ).
tff(f431,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(6,X1)) ),
inference(resolution,[],[f366,f10]) ).
tff(f366,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f358]) ).
tff(f358,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(X0,1))),
inference(resolution,[],[f297,f13]) ).
tff(f425,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,5)),$sum(X0,X1)),
inference(superposition,[],[f364,f5]) ).
tff(f427,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f420]) ).
tff(f420,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),5)),
inference(resolution,[],[f364,f13]) ).
tff(f428,plain,
! [X0: $int] : ~ $less($sum(6,X0),X0),
inference(evaluation,[],[f419]) ).
tff(f419,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),5),X0),
inference(resolution,[],[f364,f108]) ).
tff(f429,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f418]) ).
tff(f418,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),5)),
inference(resolution,[],[f364,f34]) ).
tff(f364,plain,
! [X0: $int] : ~ $less($sum(X0,5),X0),
inference(superposition,[],[f297,f4]) ).
tff(f410,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,4))),
inference(superposition,[],[f282,f5]) ).
tff(f409,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,4)),$sum(X0,X1)),
inference(superposition,[],[f294,f5]) ).
tff(f408,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,1)),$sum(X0,X1)),
inference(superposition,[],[f119,f5]) ).
tff(f407,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f108,f5]) ).
tff(f406,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,1)),1)
| ~ $less($sum(X0,X1),0) ),
inference(superposition,[],[f71,f5]) ).
tff(f405,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(X0,$sum(X1,1)),0)
| $less($sum(X0,X1),-1) ),
inference(superposition,[],[f56,f5]) ).
tff(f404,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,1)),0)
| ~ $less($sum(X0,X1),-1) ),
inference(superposition,[],[f50,f5]) ).
tff(f403,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,1))),
inference(superposition,[],[f33,f5]) ).
tff(f402,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f15,f5]) ).
tff(f401,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f13,f5]) ).
tff(f399,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f8,f5]) ).
tff(f398,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,3))),
inference(superposition,[],[f223,f5]) ).
tff(f397,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,3)),$sum(X0,X1)),
inference(superposition,[],[f235,f5]) ).
tff(f396,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,2))),
inference(superposition,[],[f159,f5]) ).
tff(f395,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,2)),$sum(X0,X1)),
inference(superposition,[],[f169,f5]) ).
tff(f394,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,5))),
inference(superposition,[],[f350,f5]) ).
tff(f393,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f392,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f391,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,[],[f12,f5]) ).
tff(f390,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,[],[f12,f5]) ).
tff(f389,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f388,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f385,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f5,f7]) ).
tff(f411,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f384]) ).
tff(f384,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f5,f21]) ).
tff(f381,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f380,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f372,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,5)) ),
inference(resolution,[],[f350,f10]) ).
tff(f350,plain,
! [X0: $int] : $less(X0,$sum(X0,5)),
inference(superposition,[],[f296,f4]) ).
tff(f361,plain,
~ $less(2,$uminus(sK0)),
inference(superposition,[],[f297,f19]) ).
tff(f365,plain,
! [X0: $int] : ~ $less($sum(X0,5),X0),
inference(superposition,[],[f297,f4]) ).
tff(f368,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f356]) ).
tff(f356,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(1,X0))),
inference(resolution,[],[f297,f34]) ).
tff(f297,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(evaluation,[],[f288]) ).
tff(f288,plain,
! [X0: $int] : ~ $less($sum(4,$sum(X0,1)),X0),
inference(resolution,[],[f238,f108]) ).
tff(f352,plain,
! [X0: $int] :
( ~ $less(X0,$uminus(sK0))
| $less(X0,2) ),
inference(resolution,[],[f347,f10]) ).
tff(f347,plain,
$less($uminus(sK0),2),
inference(superposition,[],[f296,f19]) ).
tff(f351,plain,
! [X0: $int] : $less(X0,$sum(X0,5)),
inference(superposition,[],[f296,f4]) ).
tff(f344,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(5,X1)) ),
inference(resolution,[],[f296,f10]) ).
tff(f296,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f289]) ).
tff(f289,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(X0,1))),
inference(resolution,[],[f238,f13]) ).
tff(f340,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f12,f7]) ).
tff(f339,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f12,f21]) ).
tff(f338,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f333,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f12,f7]) ).
tff(f332,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f12,f21]) ).
tff(f331,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f326,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f12,f10]) ).
tff(f324,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X0,X1)) ),
inference(resolution,[],[f12,f51]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f316,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f310]) ).
tff(f310,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),4)),
inference(resolution,[],[f294,f13]) ).
tff(f317,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(evaluation,[],[f309]) ).
tff(f309,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),4),X0),
inference(resolution,[],[f294,f108]) ).
tff(f318,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f308]) ).
tff(f308,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),4)),
inference(resolution,[],[f294,f34]) ).
tff(f294,plain,
! [X0: $int] : ~ $less($sum(X0,4),X0),
inference(superposition,[],[f238,f4]) ).
tff(f300,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,4)) ),
inference(resolution,[],[f282,f10]) ).
tff(f282,plain,
! [X0: $int] : $less(X0,$sum(X0,4)),
inference(superposition,[],[f237,f4]) ).
tff(f295,plain,
! [X0: $int] : ~ $less($sum(X0,4),X0),
inference(superposition,[],[f238,f4]) ).
tff(f298,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f287]) ).
tff(f287,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(1,X0))),
inference(resolution,[],[f238,f34]) ).
tff(f238,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f229]) ).
tff(f229,plain,
! [X0: $int] : ~ $less($sum(3,$sum(X0,1)),X0),
inference(resolution,[],[f173,f108]) ).
tff(f283,plain,
! [X0: $int] : $less(X0,$sum(X0,4)),
inference(superposition,[],[f237,f4]) ).
tff(f277,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(4,X1)) ),
inference(resolution,[],[f237,f10]) ).
tff(f237,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f230]) ).
tff(f230,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(X0,1))),
inference(resolution,[],[f173,f13]) ).
tff(f273,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f267]) ).
tff(f267,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),3)),
inference(resolution,[],[f235,f13]) ).
tff(f274,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f266]) ).
tff(f266,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),3),X0),
inference(resolution,[],[f235,f108]) ).
tff(f275,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f265]) ).
tff(f265,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),3)),
inference(resolution,[],[f235,f34]) ).
tff(f235,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f173,f4]) ).
tff(f256,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f255,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f252,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f7,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f241,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,3)) ),
inference(resolution,[],[f223,f10]) ).
tff(f223,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f171,f4]) ).
tff(f236,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f173,f4]) ).
tff(f239,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f228]) ).
tff(f228,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(1,X0))),
inference(resolution,[],[f173,f34]) ).
tff(f173,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f162]) ).
tff(f162,plain,
! [X0: $int] : ~ $less($sum(2,$sum(X0,1)),X0),
inference(resolution,[],[f139,f108]) ).
tff(f224,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f171,f4]) ).
tff(f218,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(3,X1)) ),
inference(resolution,[],[f171,f10]) ).
tff(f171,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f164]) ).
tff(f164,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(1,X0))),
inference(resolution,[],[f139,f34]) ).
tff(f214,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f208]) ).
tff(f208,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),2)),
inference(resolution,[],[f169,f13]) ).
tff(f215,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f207]) ).
tff(f207,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),2),X0),
inference(resolution,[],[f169,f108]) ).
tff(f216,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f206]) ).
tff(f206,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),2)),
inference(resolution,[],[f169,f34]) ).
tff(f169,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f139,f4]) ).
tff(f202,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f11,f54]) ).
tff(f201,plain,
! [X0: $int] :
( $less(X0,0)
| ( 0 = X0 )
| ~ $less(X0,1) ),
inference(resolution,[],[f11,f78]) ).
tff(f197,plain,
! [X0: $int] :
( $less(0,$sum(1,X0))
| ( 0 = $sum(1,X0) )
| $less(X0,-1) ),
inference(resolution,[],[f11,f62]) ).
tff(f196,plain,
! [X0: $int] :
( $less(0,$sum(X0,1))
| ( 0 = $sum(X0,1) )
| $less(X0,-1) ),
inference(resolution,[],[f11,f56]) ).
tff(f195,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f194,plain,
! [X0: $int,X1: $int] :
( $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f11,f51]) ).
tff(f193,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f11,f15]) ).
tff(f191,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f11,f54]) ).
tff(f190,plain,
! [X0: $int] :
( $less(X0,0)
| ( 0 = X0 )
| ~ $less(X0,1) ),
inference(resolution,[],[f11,f78]) ).
tff(f186,plain,
! [X0: $int] :
( $less(0,$sum(1,X0))
| ( 0 = $sum(1,X0) )
| $less(X0,-1) ),
inference(resolution,[],[f11,f62]) ).
tff(f185,plain,
! [X0: $int] :
( $less(0,$sum(X0,1))
| ( 0 = $sum(X0,1) )
| $less(X0,-1) ),
inference(resolution,[],[f11,f56]) ).
tff(f184,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f183,plain,
! [X0: $int,X1: $int] :
( $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f11,f51]) ).
tff(f182,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f11,f15]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f175,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2)) ),
inference(resolution,[],[f159,f10]) ).
tff(f159,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f137,f4]) ).
tff(f170,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f139,f4]) ).
tff(f172,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f163]) ).
tff(f163,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f139,f13]) ).
tff(f139,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f129]) ).
tff(f129,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),1),X0),
inference(resolution,[],[f119,f108]) ).
tff(f160,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f137,f4]) ).
tff(f154,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(2,X1)) ),
inference(resolution,[],[f137,f10]) ).
tff(f137,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f131]) ).
tff(f131,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),1)),
inference(resolution,[],[f119,f34]) ).
tff(f150,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f143]) ).
tff(f143,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(1,X0))),
inference(resolution,[],[f134,f34]) ).
tff(f151,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f142]) ).
tff(f142,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(X0,1))),
inference(resolution,[],[f134,f13]) ).
tff(f152,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f141]) ).
tff(f141,plain,
! [X0: $int] : ~ $less($sum(1,$sum(X0,1)),X0),
inference(resolution,[],[f134,f108]) ).
tff(f134,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f119,f4]) ).
tff(f135,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f119,f4]) ).
tff(f138,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f130]) ).
tff(f130,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f119,f13]) ).
tff(f119,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f108,f9]) ).
tff(f126,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,-1) ),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,$uminus(1)) ),
inference(superposition,[],[f108,f21]) ).
tff(f124,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f108,f4]) ).
tff(f123,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f108,f4]) ).
tff(f122,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less($sum(X0,1),0) ),
inference(resolution,[],[f108,f54]) ).
tff(f121,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less($sum(X0,1),1) ),
inference(resolution,[],[f108,f78]) ).
tff(f120,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1)) ),
inference(resolution,[],[f108,f10]) ).
tff(f118,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less(1,X0) ),
inference(resolution,[],[f108,f51]) ).
tff(f117,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f108,f15]) ).
tff(f108,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f33]) ).
tff(f116,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-1)
| $less(X0,X1)
| $less(X1,0) ),
inference(resolution,[],[f10,f37]) ).
tff(f115,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,0)
| $less(X0,X1)
| $less(X1,1) ),
inference(resolution,[],[f10,f63]) ).
tff(f114,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,1))
| $less(X0,1)
| ~ $less(X1,0) ),
inference(resolution,[],[f10,f71]) ).
tff(f113,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,1))
| $less(X0,0)
| ~ $less(X1,-1) ),
inference(resolution,[],[f10,f50]) ).
tff(f112,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,1)
| $less(0,X1) ),
inference(resolution,[],[f10,f63]) ).
tff(f111,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,0)
| $less(-1,X1) ),
inference(resolution,[],[f10,f37]) ).
tff(f110,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X2))
| $less(X2,X1) ),
inference(resolution,[],[f10,f34]) ).
tff(f109,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X1)) ),
inference(resolution,[],[f10,f38]) ).
tff(f107,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ),
inference(resolution,[],[f10,f13]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f105,plain,
! [X0: $int] :
( $less($sum(1,X0),1)
| ~ $less(X0,0) ),
inference(superposition,[],[f71,f4]) ).
tff(f104,plain,
! [X0: $int] :
( $less($sum(1,X0),1)
| ~ $less(X0,0) ),
inference(superposition,[],[f71,f4]) ).
tff(f71,plain,
! [X0: $int] :
( $less($sum(X0,1),1)
| ~ $less(X0,0) ),
inference(resolution,[],[f63,f15]) ).
tff(f62,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(resolution,[],[f34,f54]) ).
tff(f96,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(superposition,[],[f56,f4]) ).
tff(f95,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),0)
| $less(X0,-1) ),
inference(superposition,[],[f56,f4]) ).
tff(f56,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),0)
| $less(X0,-1) ),
inference(resolution,[],[f54,f13]) ).
tff(f91,plain,
! [X0: $int] :
( $less($sum(1,X0),0)
| ~ $less(X0,-1) ),
inference(superposition,[],[f50,f4]) ).
tff(f90,plain,
! [X0: $int] :
( $less($sum(1,X0),0)
| ~ $less(X0,-1) ),
inference(superposition,[],[f50,f4]) ).
tff(f50,plain,
! [X0: $int] :
( $less($sum(X0,1),0)
| ~ $less(X0,-1) ),
inference(resolution,[],[f15,f37]) ).
tff(f87,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),1)
| $less(X0,0) ),
inference(resolution,[],[f78,f34]) ).
tff(f84,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),1)
| $less(X0,0) ),
inference(resolution,[],[f78,f13]) ).
tff(f78,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,1) ),
inference(superposition,[],[f51,f6]) ).
tff(f77,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(1,X0),1) ),
inference(resolution,[],[f51,f63]) ).
tff(f76,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less($sum(1,X0),0) ),
inference(resolution,[],[f51,f37]) ).
tff(f51,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f15,f4]) ).
tff(f63,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f34,f6]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f54,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less(X0,0) ),
inference(evaluation,[],[f53]) ).
tff(f53,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f15,f21]) ).
tff(f52,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f15,f4]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f37,plain,
! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f13,f21]) ).
tff(f38,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f33,f4]) ).
tff(f39,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f33,f4]) ).
tff(f33,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f13,f9]) ).
tff(f35,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f21,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f19,plain,
2 = $sum(5,$uminus(sK0)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( 3 != sK0 )
& ( 2 = $sum(5,$uminus(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( 3 != X0 )
& ( 2 = $sum(5,$uminus(X0)) ) )
=> ( ( 3 != sK0 )
& ( 2 = $sum(5,$uminus(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( 2 = $sum(5,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ( 2 = $sum(5,$uminus(X0)) )
=> ( 3 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $difference(5,X0) = 2 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_5_only_3_2) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f20,plain,
3 != sK0,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI092_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:45:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29877)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (29880)WARNING: value z3 for option sas not known
% 0.15/0.38 % (29882)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (29878)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (29879)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (29880)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (29883)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (29881)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (29884)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (29878)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29878)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29878)------------------------------
% 0.15/0.38 % (29878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (29878)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29878)Memory used [KB]: 723
% 0.15/0.38 % (29878)Time elapsed: 0.002 s
% 0.15/0.38 % (29878)Instructions burned: 2 (million)
% 0.15/0.38 % (29879)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29879)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29879)------------------------------
% 0.15/0.38 % (29879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (29879)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29879)Memory used [KB]: 724
% 0.15/0.38 % (29879)Time elapsed: 0.002 s
% 0.15/0.38 % (29879)Instructions burned: 2 (million)
% 0.15/0.38 % (29878)------------------------------
% 0.15/0.38 % (29878)------------------------------
% 0.15/0.38 % (29881)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (29881)Terminated due to inappropriate strategy.
% 0.15/0.38 % (29881)------------------------------
% 0.15/0.38 % (29881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (29881)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (29881)Memory used [KB]: 723
% 0.15/0.38 % (29881)Time elapsed: 0.002 s
% 0.15/0.38 % (29881)Instructions burned: 2 (million)
% 0.15/0.38 % (29879)------------------------------
% 0.15/0.38 % (29879)------------------------------
% 0.15/0.38 % (29881)------------------------------
% 0.15/0.38 % (29881)------------------------------
% 0.15/0.40 % (29885)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.40 % (29886)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)
% 0.15/0.40 % (29887)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)
% 0.15/0.40 % (29885)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (29885)Terminated due to inappropriate strategy.
% 0.15/0.40 % (29885)------------------------------
% 0.15/0.40 % (29885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (29885)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (29885)Memory used [KB]: 723
% 0.15/0.40 % (29885)Time elapsed: 0.002 s
% 0.15/0.40 % (29885)Instructions burned: 2 (million)
% 0.15/0.40 % (29885)------------------------------
% 0.15/0.40 % (29885)------------------------------
% 0.15/0.41 % (29888)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)
% 0.15/0.43 % (29880)First to succeed.
% 0.21/0.44 % (29880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29877"
% 0.21/0.44 % (29880)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (29880)------------------------------
% 0.21/0.45 % (29880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (29880)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (29880)Memory used [KB]: 1488
% 0.21/0.45 % (29880)Time elapsed: 0.063 s
% 0.21/0.45 % (29880)Instructions burned: 102 (million)
% 0.21/0.45 % (29877)Success in time 0.081 s
%------------------------------------------------------------------------------