TSTP Solution File: ARI280_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI280_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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 10:35:00 EDT 2024
% Result : Theorem 0.17s 0.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 805 ( 576 unt; 1 typ; 0 def)
% Number of atoms : 1054 ( 172 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 662 ( 412 ~; 242 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 4944 ( 881 atm;1894 fun; 965 num;1204 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 : 38 ( 1 usr; 35 con; 0-2 aty)
% Number of variables : 1204 (1202 !; 2 ?;1204 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f1628,plain,
$false,
inference(global_subsumption,[],[f19,f9,f18,f6,f14,f8,f20,f4,f13,f34,f32,f38,f37,f36,f10,f46,f48,f49,f50,f33,f52,f53,f59,f61,f47,f63,f64,f65,f67,f62,f77,f74,f73,f90,f89,f88,f76,f91,f95,f78,f106,f104,f11,f109,f114,f94,f119,f103,f135,f134,f133,f105,f136,f140,f107,f154,f151,f7,f160,f163,f164,f139,f171,f150,f187,f186,f185,f152,f188,f192,f153,f206,f203,f12,f211,f216,f217,f218,f223,f224,f225,f191,f228,f202,f245,f244,f243,f204,f246,f250,f205,f264,f261,f249,f265,f5,f271,f272,f298,f276,f279,f280,f281,f282,f283,f284,f285,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f260,f316,f315,f314,f312,f262,f317,f321,f263,f335,f332,f320,f336,f339,f212,f341,f350,f343,f344,f346,f347,f349,f352,f351,f331,f381,f380,f379,f377,f333,f382,f386,f334,f400,f397,f219,f401,f403,f404,f406,f407,f385,f409,f412,f396,f428,f427,f426,f424,f398,f429,f433,f399,f447,f444,f273,f459,f449,f452,f453,f455,f456,f457,f462,f463,f464,f432,f465,f468,f443,f484,f483,f482,f480,f445,f485,f489,f446,f503,f500,f299,f504,f506,f507,f508,f512,f514,f515,f516,f556,f554,f553,f558,f561,f560,f567,f571,f551,f574,f577,f552,f590,f555,f602,f549,f607,f610,f550,f623,f214,f628,f629,f631,f632,f634,f635,f576,f639,f643,f589,f654,f601,f664,f547,f666,f669,f548,f682,f609,f687,f691,f221,f694,f695,f697,f698,f700,f701,f622,f714,f545,f716,f719,f546,f732,f668,f737,f741,f681,f752,f543,f754,f757,f155,f783,f766,f767,f769,f784,f786,f774,f776,f777,f778,f787,f781,f789,f790,f791,f792,f793,f794,f788,f795,f796,f797,f544,f805,f718,f810,f814,f731,f825,f541,f827,f830,f156,f858,f860,f840,f841,f857,f862,f863,f849,f851,f864,f853,f854,f865,f542,f874,f756,f879,f883,f804,f894,f539,f896,f899,f540,f912,f829,f917,f921,f159,f924,f955,f958,f927,f928,f929,f930,f935,f938,f939,f941,f942,f944,f945,f946,f947,f948,f873,f973,f488,f975,f978,f499,f994,f993,f992,f990,f501,f995,f997,f502,f1017,f1010,f537,f1018,f1021,f538,f1034,f898,f1039,f1043,f911,f1054,f996,f1056,f1059,f1001,f1061,f1064,f1009,f1084,f1083,f1082,f1080,f1014,f1092,f1015,f1097,f1099,f1016,f1119,f1112,f1020,f1120,f1124,f1033,f1135,f1063,f1137,f1141,f1091,f1152,f215,f1164,f1176,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1187,f1188,f1189,f1190,f1191,f1192,f1206,f1194,f1196,f1207,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1098,f1208,f1211,f1103,f1213,f1216,f1111,f1236,f1235,f1234,f1232,f1116,f1244,f1117,f1249,f1251,f1118,f1272,f1264,f1265,f1215,f1273,f1277,f1243,f1289,f1250,f1291,f1294,f1255,f1296,f1299,f222,f1328,f1329,f1330,f1358,f1332,f1334,f1359,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1353,f1354,f1355,f1356,f1256,f1375,f1374,f1373,f1371,f1269,f1383,f1384,f1270,f1389,f1391,f1271,f1412,f1411,f1410,f1404,f1405,f1409,f1298,f1413,f1417,f1380,f1429,f1390,f1431,f1434,f1395,f1436,f1438,f1439,f1396,f1460,f1459,f1458,f1456,f278,f1461,f1462,f1563,f1564,f1558,f1470,f1556,f1555,f1553,f1476,f1478,f1479,f1566,f1570,f1572,f1486,f1487,f1488,f1573,f1490,f1574,f1576,f1577,f1579,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1569,f1592,f1584,f1585,f1586,f1587,f1588,f1589,f1554,f1606,f1598,f1599,f1600,f1601,f1602,f1603,f1559,f1623,f1621,f1613,f1614,f1615,f1616,f1617,f1618,f1622,f1627]) ).
tff(f1627,plain,
$less(5/8,sK0),
inference(subsumption_resolution,[],[f1625,f19]) ).
tff(f1625,plain,
( $less(5/8,sK0)
| ( 5/8 = sK0 ) ),
inference(resolution,[],[f1622,f11]) ).
tff(f1622,plain,
~ $less(sK0,5/8),
inference(evaluation,[],[f1611]) ).
tff(f1611,plain,
( $less(0/1,0/1)
| ~ $less(sK0,5/8) ),
inference(superposition,[],[f214,f1559]) ).
tff(f1618,plain,
! [X0: $rat] :
( $less(0/1,$sum($uminus(sK0),X0))
| ~ $less(5/8,X0) ),
inference(superposition,[],[f222,f1559]) ).
tff(f1617,plain,
! [X0: $rat] :
( $less($sum(X0,5/8),0/1)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f222,f1559]) ).
tff(f1616,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),0/1)
| ~ $less(X0,5/8) ),
inference(superposition,[],[f215,f1559]) ).
tff(f1615,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,5/8))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f215,f1559]) ).
tff(f1614,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,$uminus(sK0)))
| ~ $less(5/8,X0) ),
inference(superposition,[],[f12,f1559]) ).
tff(f1613,plain,
! [X0: $rat] :
( $less($sum(X0,$uminus(sK0)),0/1)
| ~ $less(X0,5/8) ),
inference(superposition,[],[f12,f1559]) ).
tff(f1621,plain,
! [X0: $rat] : ( $sum(5/8,$sum($uminus(sK0),X0)) = X0 ),
inference(evaluation,[],[f1612]) ).
tff(f1612,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(5/8,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f5,f1559]) ).
tff(f1623,plain,
~ $less(5/8,sK0),
inference(evaluation,[],[f1610]) ).
tff(f1610,plain,
( $less(0/1,0/1)
| ~ $less(5/8,sK0) ),
inference(superposition,[],[f221,f1559]) ).
tff(f1559,plain,
0/1 = $sum(5/8,$uminus(sK0)),
inference(evaluation,[],[f1467]) ).
tff(f1467,plain,
0/1 = $sum(5/2,$sum($uminus(sK0),$uminus(15/8))),
inference(superposition,[],[f278,f18]) ).
tff(f1603,plain,
! [X0: $rat] :
( $less(0/1,$sum(-5/8,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f222,f1554]) ).
tff(f1602,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),0/1)
| ~ $less(X0,-5/8) ),
inference(superposition,[],[f222,f1554]) ).
tff(f1601,plain,
! [X0: $rat] :
( $less($sum(-5/8,X0),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f215,f1554]) ).
tff(f1600,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,sK0))
| ~ $less(-5/8,X0) ),
inference(superposition,[],[f215,f1554]) ).
tff(f1599,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,-5/8))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f1554]) ).
tff(f1598,plain,
! [X0: $rat] :
( $less($sum(X0,-5/8),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f12,f1554]) ).
tff(f1606,plain,
! [X0: $rat] : ( $sum(sK0,$sum(-5/8,X0)) = X0 ),
inference(evaluation,[],[f1597]) ).
tff(f1597,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(sK0,$sum(-5/8,X0)) ),
inference(superposition,[],[f5,f1554]) ).
tff(f1554,plain,
0/1 = $sum(sK0,-5/8),
inference(evaluation,[],[f1474]) ).
tff(f1474,plain,
0/1 = $sum(sK0,$sum(-5/2,$uminus(-15/8))),
inference(superposition,[],[f278,f781]) ).
tff(f1589,plain,
! [X0: $rat] :
( $less(0/1,$sum(sK0,X0))
| ~ $less(-5/8,X0) ),
inference(superposition,[],[f222,f1569]) ).
tff(f1588,plain,
! [X0: $rat] :
( $less($sum(X0,-5/8),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f222,f1569]) ).
tff(f1587,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),0/1)
| ~ $less(X0,-5/8) ),
inference(superposition,[],[f215,f1569]) ).
tff(f1586,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,-5/8))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f215,f1569]) ).
tff(f1585,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,sK0))
| ~ $less(-5/8,X0) ),
inference(superposition,[],[f12,f1569]) ).
tff(f1584,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),0/1)
| ~ $less(X0,-5/8) ),
inference(superposition,[],[f12,f1569]) ).
tff(f1592,plain,
! [X0: $rat] : ( $sum(-5/8,$sum(sK0,X0)) = X0 ),
inference(evaluation,[],[f1583]) ).
tff(f1583,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(-5/8,$sum(sK0,X0)) ),
inference(superposition,[],[f5,f1569]) ).
tff(f1569,plain,
0/1 = $sum(-5/8,sK0),
inference(evaluation,[],[f1568]) ).
tff(f1568,plain,
0/1 = $sum(15/8,$sum(sK0,$uminus(5/2))),
inference(forward_demodulation,[],[f1482,f155]) ).
tff(f1482,plain,
0/1 = $sum(15/8,$uminus($sum(5/2,$uminus(sK0)))),
inference(superposition,[],[f278,f273]) ).
tff(f1548,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-13/1,X0)))),
inference(superposition,[],[f1395,f278]) ).
tff(f1547,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(13/1,X0))),0/1),
inference(superposition,[],[f1270,f278]) ).
tff(f1546,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(13/1,X0)))),
inference(superposition,[],[f1271,f278]) ).
tff(f1545,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-12/1,X0)))),
inference(superposition,[],[f1255,f278]) ).
tff(f1544,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-12/1,X0))),0/1),
inference(superposition,[],[f1269,f278]) ).
tff(f1543,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(12/1,X0))),0/1),
inference(superposition,[],[f1117,f278]) ).
tff(f1542,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(12/1,X0)))),
inference(superposition,[],[f1118,f278]) ).
tff(f1541,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-11/1,X0)))),
inference(superposition,[],[f1103,f278]) ).
tff(f1540,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-11/1,X0))),0/1),
inference(superposition,[],[f1116,f278]) ).
tff(f1539,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(11/1,X0))),0/1),
inference(superposition,[],[f1015,f278]) ).
tff(f1538,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(11/1,X0)))),
inference(superposition,[],[f1016,f278]) ).
tff(f1537,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-10/1,X0)))),
inference(superposition,[],[f1001,f278]) ).
tff(f1536,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-10/1,X0))),0/1),
inference(superposition,[],[f1014,f278]) ).
tff(f1535,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(10/1,X0))),0/1),
inference(superposition,[],[f501,f278]) ).
tff(f1534,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(10/1,X0)))),
inference(superposition,[],[f502,f278]) ).
tff(f1533,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-9/1,X0)))),
inference(superposition,[],[f537,f278]) ).
tff(f1532,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-9/1,X0))),0/1),
inference(superposition,[],[f538,f278]) ).
tff(f1531,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(9/1,X0))),0/1),
inference(superposition,[],[f445,f278]) ).
tff(f1530,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(9/1,X0)))),
inference(superposition,[],[f446,f278]) ).
tff(f1529,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-8/1,X0)))),
inference(superposition,[],[f539,f278]) ).
tff(f1528,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-8/1,X0))),0/1),
inference(superposition,[],[f540,f278]) ).
tff(f1527,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(8/1,X0))),0/1),
inference(superposition,[],[f398,f278]) ).
tff(f1526,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(8/1,X0)))),
inference(superposition,[],[f399,f278]) ).
tff(f1525,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-7/1,X0)))),
inference(superposition,[],[f541,f278]) ).
tff(f1524,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-7/1,X0))),0/1),
inference(superposition,[],[f542,f278]) ).
tff(f1523,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(7/1,X0))),0/1),
inference(superposition,[],[f333,f278]) ).
tff(f1522,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(7/1,X0)))),
inference(superposition,[],[f334,f278]) ).
tff(f1521,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-6/1,X0)))),
inference(superposition,[],[f543,f278]) ).
tff(f1520,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-6/1,X0))),0/1),
inference(superposition,[],[f544,f278]) ).
tff(f1519,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(6/1,X0))),0/1),
inference(superposition,[],[f262,f278]) ).
tff(f1518,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(6/1,X0)))),
inference(superposition,[],[f263,f278]) ).
tff(f1517,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-5/1,X0)))),
inference(superposition,[],[f545,f278]) ).
tff(f1516,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-5/1,X0))),0/1),
inference(superposition,[],[f546,f278]) ).
tff(f1515,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(5/1,X0))),0/1),
inference(superposition,[],[f204,f278]) ).
tff(f1514,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(5/1,X0)))),
inference(superposition,[],[f205,f278]) ).
tff(f1513,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-4/1,X0)))),
inference(superposition,[],[f547,f278]) ).
tff(f1512,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-4/1,X0))),0/1),
inference(superposition,[],[f548,f278]) ).
tff(f1511,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(4/1,X0))),0/1),
inference(superposition,[],[f152,f278]) ).
tff(f1510,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(4/1,X0)))),
inference(superposition,[],[f153,f278]) ).
tff(f1509,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-3/1,X0)))),
inference(superposition,[],[f549,f278]) ).
tff(f1508,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-3/1,X0))),0/1),
inference(superposition,[],[f550,f278]) ).
tff(f1507,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(3/1,X0))),0/1),
inference(superposition,[],[f105,f278]) ).
tff(f1506,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(3/1,X0)))),
inference(superposition,[],[f107,f278]) ).
tff(f1505,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-2/1,X0)))),
inference(superposition,[],[f551,f278]) ).
tff(f1504,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-2/1,X0))),0/1),
inference(superposition,[],[f552,f278]) ).
tff(f1503,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(2/1,X0))),0/1),
inference(superposition,[],[f76,f278]) ).
tff(f1502,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(2/1,X0)))),
inference(superposition,[],[f78,f278]) ).
tff(f1501,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-1/1,X0)))),
inference(superposition,[],[f553,f278]) ).
tff(f1500,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-1/1,X0))),0/1),
inference(superposition,[],[f555,f278]) ).
tff(f1499,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(1/1,X0))),0/1),
inference(superposition,[],[f37,f278]) ).
tff(f1498,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,0/1)
| $less($sum(X0,$uminus($sum(1/1,X0))),X1) ),
inference(superposition,[],[f33,f278]) ).
tff(f1497,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(1/1,X0)))),
inference(superposition,[],[f73,f278]) ).
tff(f1579,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X1),$sum($uminus(X0),X1)),X0) ),
inference(forward_demodulation,[],[f1578,f4]) ).
tff(f1578,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($sum($uminus(X0),X1),$uminus(X1)),X0) ),
inference(forward_demodulation,[],[f1551,f155]) ).
tff(f1551,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(evaluation,[],[f1494]) ).
tff(f1494,plain,
! [X0: $rat,X1: $rat] : ( $uminus(0/1) = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(superposition,[],[f156,f278]) ).
tff(f1577,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1493,f5]) ).
tff(f1493,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f5,f278]) ).
tff(f1576,plain,
0/1 = $sum(-5/8,sK0),
inference(evaluation,[],[f1575]) ).
tff(f1575,plain,
0/1 = $sum(15/8,$sum(sK0,$uminus(5/2))),
inference(forward_demodulation,[],[f1492,f155]) ).
tff(f1492,plain,
0/1 = $sum(15/8,$uminus($sum(5/2,$uminus(sK0)))),
inference(superposition,[],[f273,f278]) ).
tff(f1574,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,$sum($uminus($sum(X0,X1)),X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1491,f5]) ).
tff(f1491,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum($sum(X1,$uminus($sum(X0,X1))),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f222,f278]) ).
tff(f1490,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X0),0/1)
| ~ $less(X2,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f222,f278]) ).
tff(f1573,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,$sum($uminus($sum(X0,X1)),X2)),0/1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1489,f5]) ).
tff(f1489,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($sum(X1,$uminus($sum(X0,X1))),X2),0/1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f215,f278]) ).
tff(f1488,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,X0))
| ~ $less($sum(X1,$uminus($sum(X0,X1))),X2) ),
inference(superposition,[],[f215,f278]) ).
tff(f1487,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum(X1,$uminus($sum(X0,X1)))))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f278]) ).
tff(f1486,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum(X1,$uminus($sum(X0,X1)))),0/1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f278]) ).
tff(f1572,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(forward_demodulation,[],[f1552,f5]) ).
tff(f1552,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = X2 ),
inference(evaluation,[],[f1485]) ).
tff(f1485,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = $sum(0/1,X2) ),
inference(superposition,[],[f5,f278]) ).
tff(f1570,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1483,f5]) ).
tff(f1483,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f278,f5]) ).
tff(f1566,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(forward_demodulation,[],[f1480,f4]) ).
tff(f1480,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum($sum(X1,$uminus(X0)),X0))) ),
inference(superposition,[],[f278,f7]) ).
tff(f1479,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(superposition,[],[f278,f159]) ).
tff(f1478,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X2,$sum(X0,$sum(X1,$uminus($sum(X2,$sum(X0,X1)))))) ),
inference(superposition,[],[f278,f5]) ).
tff(f1476,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($uminus(X1),$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f278,f155]) ).
tff(f1553,plain,
0/1 = $sum(-5/8,sK0),
inference(evaluation,[],[f1475]) ).
tff(f1475,plain,
0/1 = $sum(-5/2,$sum(sK0,$uminus(-15/8))),
inference(superposition,[],[f278,f788]) ).
tff(f1555,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$sum(X1,X0))) ),
inference(evaluation,[],[f1473]) ).
tff(f1473,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X1,X0))))) ),
inference(superposition,[],[f278,f7]) ).
tff(f1556,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$sum(X0,X1))) ),
inference(evaluation,[],[f1472]) ).
tff(f1472,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X0,X1))))) ),
inference(superposition,[],[f278,f159]) ).
tff(f1470,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X0,X1),$sum(X2,$uminus($sum(X0,$sum(X1,X2))))) ),
inference(superposition,[],[f278,f5]) ).
tff(f1558,plain,
0/1 = $sum(-5/8,sK0),
inference(evaluation,[],[f1469]) ).
tff(f1469,plain,
0/1 = $sum(15/8,$sum(sK0,$uminus(5/2))),
inference(superposition,[],[f278,f457]) ).
tff(f1564,plain,
! [X0: $rat] : ( 0/1 = $sum(5/2,$sum($uminus(sK0),$sum(X0,$uminus($sum(15/8,X0))))) ),
inference(forward_demodulation,[],[f1468,f5]) ).
tff(f1468,plain,
! [X0: $rat] : ( 0/1 = $sum(5/2,$sum($sum($uminus(sK0),X0),$uminus($sum(15/8,X0)))) ),
inference(superposition,[],[f278,f273]) ).
tff(f1563,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($uminus(X1),$sum($uminus(X0),X1))) ),
inference(forward_demodulation,[],[f1463,f4]) ).
tff(f1463,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($sum($uminus(X0),X1),$uminus(X1))) ),
inference(superposition,[],[f278,f299]) ).
tff(f1462,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f278,f4]) ).
tff(f1461,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f278,f4]) ).
tff(f278,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f5,f8]) ).
tff(f1456,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,13/1)),$sum(X0,X1)),
inference(superposition,[],[f1396,f5]) ).
tff(f1458,plain,
! [X0: $rat] : $less(X0,$sum(14/1,X0)),
inference(evaluation,[],[f1451]) ).
tff(f1451,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),13/1)),
inference(resolution,[],[f1396,f13]) ).
tff(f1459,plain,
! [X0: $rat] : ~ $less($sum(14/1,X0),X0),
inference(evaluation,[],[f1450]) ).
tff(f1450,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),13/1),X0),
inference(resolution,[],[f1396,f47]) ).
tff(f1460,plain,
! [X0: $rat] : $less(X0,$sum(14/1,X0)),
inference(evaluation,[],[f1449]) ).
tff(f1449,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),13/1)),
inference(resolution,[],[f1396,f33]) ).
tff(f1396,plain,
! [X0: $rat] : ~ $less($sum(X0,13/1),X0),
inference(resolution,[],[f1271,f215]) ).
tff(f1439,plain,
! [X0: $rat] : $less($sum(X0,-13/1),X0),
inference(superposition,[],[f1395,f4]) ).
tff(f1438,plain,
! [X0: $rat] : $less($sum(X0,-13/1),X0),
inference(superposition,[],[f1395,f4]) ).
tff(f1436,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-13/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1395,f10]) ).
tff(f1395,plain,
! [X0: $rat] : $less($sum(-13/1,X0),X0),
inference(evaluation,[],[f1392]) ).
tff(f1392,plain,
! [X0: $rat] : $less($sum($uminus(13/1),X0),X0),
inference(superposition,[],[f1270,f299]) ).
tff(f1434,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,13/1))),
inference(superposition,[],[f1390,f5]) ).
tff(f1431,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,13/1)) ),
inference(resolution,[],[f1390,f10]) ).
tff(f1390,plain,
! [X0: $rat] : $less(X0,$sum(X0,13/1)),
inference(superposition,[],[f1270,f4]) ).
tff(f1429,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-12/1))),
inference(superposition,[],[f1380,f5]) ).
tff(f1380,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-12/1)),
inference(resolution,[],[f1269,f222]) ).
tff(f1417,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-12/1)),$sum(X0,X1)),
inference(superposition,[],[f1298,f5]) ).
tff(f1413,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-12/1))
| $less(X0,X1) ),
inference(resolution,[],[f1298,f10]) ).
tff(f1298,plain,
! [X0: $rat] : $less($sum(X0,-12/1),X0),
inference(superposition,[],[f1255,f4]) ).
tff(f1409,plain,
! [X0: $rat] : ~ $less(X0,$sum(-13/1,X0)),
inference(evaluation,[],[f1406]) ).
tff(f1406,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(13/1),X0)),
inference(superposition,[],[f1271,f299]) ).
tff(f1405,plain,
! [X0: $rat] : ~ $less($sum(X0,13/1),X0),
inference(superposition,[],[f1271,f4]) ).
tff(f1404,plain,
! [X0: $rat] : ~ $less($sum(X0,13/1),X0),
inference(superposition,[],[f1271,f4]) ).
tff(f1410,plain,
! [X0: $rat] : $less(X0,$sum(14/1,X0)),
inference(evaluation,[],[f1401]) ).
tff(f1401,plain,
! [X0: $rat] : $less(X0,$sum(13/1,$sum(X0,1/1))),
inference(resolution,[],[f1271,f13]) ).
tff(f1411,plain,
! [X0: $rat] : ~ $less($sum(14/1,X0),X0),
inference(evaluation,[],[f1400]) ).
tff(f1400,plain,
! [X0: $rat] : ~ $less($sum(13/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f1271,f47]) ).
tff(f1412,plain,
! [X0: $rat] : $less(X0,$sum(14/1,X0)),
inference(evaluation,[],[f1399]) ).
tff(f1399,plain,
! [X0: $rat] : $less(X0,$sum(13/1,$sum(1/1,X0))),
inference(resolution,[],[f1271,f33]) ).
tff(f1271,plain,
! [X0: $rat] : ~ $less($sum(13/1,X0),X0),
inference(evaluation,[],[f1260]) ).
tff(f1260,plain,
! [X0: $rat] : ~ $less($sum(12/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f1118,f47]) ).
tff(f1391,plain,
! [X0: $rat] : $less(X0,$sum(X0,13/1)),
inference(superposition,[],[f1270,f4]) ).
tff(f1389,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(13/1,X1)) ),
inference(resolution,[],[f1270,f10]) ).
tff(f1270,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1261]) ).
tff(f1261,plain,
! [X0: $rat] : $less(X0,$sum(12/1,$sum(X0,1/1))),
inference(resolution,[],[f1118,f13]) ).
tff(f1384,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-12/1)),
inference(superposition,[],[f1269,f4]) ).
tff(f1383,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-12/1)),
inference(superposition,[],[f1269,f4]) ).
tff(f1269,plain,
! [X0: $rat] : ~ $less(X0,$sum(-12/1,X0)),
inference(evaluation,[],[f1266]) ).
tff(f1266,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(12/1),X0)),
inference(superposition,[],[f1118,f299]) ).
tff(f1371,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,12/1)),$sum(X0,X1)),
inference(superposition,[],[f1256,f5]) ).
tff(f1373,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1366]) ).
tff(f1366,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),12/1)),
inference(resolution,[],[f1256,f13]) ).
tff(f1374,plain,
! [X0: $rat] : ~ $less($sum(13/1,X0),X0),
inference(evaluation,[],[f1365]) ).
tff(f1365,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),12/1),X0),
inference(resolution,[],[f1256,f47]) ).
tff(f1375,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1364]) ).
tff(f1364,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),12/1)),
inference(resolution,[],[f1256,f33]) ).
tff(f1256,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(resolution,[],[f1118,f215]) ).
tff(f1356,plain,
! [X0: $rat] :
( $less($sum(X0,-5/2),-15/8)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f222,f788]) ).
tff(f1355,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),-15/8)
| ~ $less(X0,-5/2) ),
inference(superposition,[],[f222,f781]) ).
tff(f1354,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f222,f7]) ).
tff(f1353,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f222,f159]) ).
tff(f1351,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X3,$sum(X0,X1)),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,X2) ),
inference(superposition,[],[f222,f5]) ).
tff(f1350,plain,
! [X0: $rat] :
( $less($sum(X0,15/8),5/2)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f222,f457]) ).
tff(f1349,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,5/2),$sum(15/8,X0))
| ~ $less(X1,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f222,f273]) ).
tff(f1348,plain,
! [X0: $rat] :
( $less($sum(X0,5/2),15/8)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f222,f18]) ).
tff(f1347,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),X0)
| ~ $less(X1,0/1) ),
inference(superposition,[],[f222,f6]) ).
tff(f1346,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f222,f8]) ).
tff(f1345,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X0),X1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f222,f299]) ).
tff(f1342,plain,
! [X0: $rat] :
( $less(-15/8,$sum(sK0,X0))
| ~ $less(-5/2,X0) ),
inference(superposition,[],[f222,f788]) ).
tff(f1341,plain,
! [X0: $rat] :
( $less(-15/8,$sum(-5/2,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f222,f781]) ).
tff(f1340,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f222,f7]) ).
tff(f1339,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f222,f159]) ).
tff(f1338,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X0,X1))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f222,f20]) ).
tff(f1337,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,X2)),$sum(X2,X3))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f222,f5]) ).
tff(f1336,plain,
! [X0: $rat] :
( $less(5/2,$sum(sK0,X0))
| ~ $less(15/8,X0) ),
inference(superposition,[],[f222,f457]) ).
tff(f1359,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(15/8,X0),$sum($uminus(sK0),$sum(X0,X1)))
| ~ $less(5/2,X1) ),
inference(forward_demodulation,[],[f1335,f5]) ).
tff(f1335,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(15/8,X0),$sum($sum($uminus(sK0),X0),X1))
| ~ $less(5/2,X1) ),
inference(superposition,[],[f222,f273]) ).
tff(f1334,plain,
! [X0: $rat] :
( $less(15/8,$sum($uminus(sK0),X0))
| ~ $less(5/2,X0) ),
inference(superposition,[],[f222,f18]) ).
tff(f1332,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X0),X1))
| ~ $less(X0,X1) ),
inference(superposition,[],[f222,f8]) ).
tff(f1358,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum($uminus(X0),$sum(X1,X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1331,f5]) ).
tff(f1331,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum($sum($uminus(X0),X1),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f222,f299]) ).
tff(f1330,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f222,f4]) ).
tff(f1329,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f222,f4]) ).
tff(f1328,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X3,X1)) ),
inference(resolution,[],[f222,f10]) ).
tff(f222,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f1299,plain,
! [X0: $rat] : $less($sum(X0,-12/1),X0),
inference(superposition,[],[f1255,f4]) ).
tff(f1296,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-12/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1255,f10]) ).
tff(f1255,plain,
! [X0: $rat] : $less($sum(-12/1,X0),X0),
inference(evaluation,[],[f1252]) ).
tff(f1252,plain,
! [X0: $rat] : $less($sum($uminus(12/1),X0),X0),
inference(superposition,[],[f1117,f299]) ).
tff(f1294,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,12/1))),
inference(superposition,[],[f1250,f5]) ).
tff(f1291,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,12/1)) ),
inference(resolution,[],[f1250,f10]) ).
tff(f1250,plain,
! [X0: $rat] : $less(X0,$sum(X0,12/1)),
inference(superposition,[],[f1117,f4]) ).
tff(f1289,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-11/1))),
inference(superposition,[],[f1243,f5]) ).
tff(f1243,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-11/1)),
inference(superposition,[],[f1116,f4]) ).
tff(f1277,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-11/1)),$sum(X0,X1)),
inference(superposition,[],[f1215,f5]) ).
tff(f1273,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-11/1))
| $less(X0,X1) ),
inference(resolution,[],[f1215,f10]) ).
tff(f1215,plain,
! [X0: $rat] : $less($sum(X0,-11/1),X0),
inference(superposition,[],[f1103,f4]) ).
tff(f1265,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(superposition,[],[f1118,f4]) ).
tff(f1264,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(superposition,[],[f1118,f4]) ).
tff(f1272,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1259]) ).
tff(f1259,plain,
! [X0: $rat] : $less(X0,$sum(12/1,$sum(1/1,X0))),
inference(resolution,[],[f1118,f33]) ).
tff(f1118,plain,
! [X0: $rat] : ~ $less($sum(12/1,X0),X0),
inference(evaluation,[],[f1107]) ).
tff(f1107,plain,
! [X0: $rat] : ~ $less($sum(11/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f1016,f47]) ).
tff(f1251,plain,
! [X0: $rat] : $less(X0,$sum(X0,12/1)),
inference(superposition,[],[f1117,f4]) ).
tff(f1249,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(12/1,X1)) ),
inference(resolution,[],[f1117,f10]) ).
tff(f1117,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1108]) ).
tff(f1108,plain,
! [X0: $rat] : $less(X0,$sum(11/1,$sum(X0,1/1))),
inference(resolution,[],[f1016,f13]) ).
tff(f1244,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-11/1)),
inference(superposition,[],[f1116,f4]) ).
tff(f1116,plain,
! [X0: $rat] : ~ $less(X0,$sum(-11/1,X0)),
inference(evaluation,[],[f1113]) ).
tff(f1113,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(11/1),X0)),
inference(superposition,[],[f1016,f299]) ).
tff(f1232,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,11/1)),$sum(X0,X1)),
inference(superposition,[],[f1111,f5]) ).
tff(f1234,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1227]) ).
tff(f1227,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),11/1)),
inference(resolution,[],[f1111,f13]) ).
tff(f1235,plain,
! [X0: $rat] : ~ $less($sum(12/1,X0),X0),
inference(evaluation,[],[f1226]) ).
tff(f1226,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),11/1),X0),
inference(resolution,[],[f1111,f47]) ).
tff(f1236,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1225]) ).
tff(f1225,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),11/1)),
inference(resolution,[],[f1111,f33]) ).
tff(f1111,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(superposition,[],[f1016,f4]) ).
tff(f1216,plain,
! [X0: $rat] : $less($sum(X0,-11/1),X0),
inference(superposition,[],[f1103,f4]) ).
tff(f1213,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-11/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1103,f10]) ).
tff(f1103,plain,
! [X0: $rat] : $less($sum(-11/1,X0),X0),
inference(evaluation,[],[f1100]) ).
tff(f1100,plain,
! [X0: $rat] : $less($sum($uminus(11/1),X0),X0),
inference(superposition,[],[f1015,f299]) ).
tff(f1211,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,11/1))),
inference(superposition,[],[f1098,f5]) ).
tff(f1208,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,11/1)) ),
inference(resolution,[],[f1098,f10]) ).
tff(f1098,plain,
! [X0: $rat] : $less(X0,$sum(X0,11/1)),
inference(superposition,[],[f1015,f4]) ).
tff(f1204,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),-15/8)
| ~ $less(X0,-5/2) ),
inference(superposition,[],[f215,f788]) ).
tff(f1203,plain,
! [X0: $rat] :
( $less($sum(-5/2,X0),-15/8)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f215,f781]) ).
tff(f1202,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X2),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f215,f7]) ).
tff(f1201,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X2),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f215,f159]) ).
tff(f1200,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X0,X1),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f215,f20]) ).
tff(f1199,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X3),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f215,f5]) ).
tff(f1198,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),5/2)
| ~ $less(X0,15/8) ),
inference(superposition,[],[f215,f457]) ).
tff(f1207,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(sK0),$sum(X0,X1)),$sum(15/8,X0))
| ~ $less(X1,5/2) ),
inference(forward_demodulation,[],[f1197,f5]) ).
tff(f1197,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($sum($uminus(sK0),X0),X1),$sum(15/8,X0))
| ~ $less(X1,5/2) ),
inference(superposition,[],[f215,f273]) ).
tff(f1196,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),15/8)
| ~ $less(X0,5/2) ),
inference(superposition,[],[f215,f18]) ).
tff(f1194,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X0),X1),0/1)
| ~ $less(X1,X0) ),
inference(superposition,[],[f215,f8]) ).
tff(f1206,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X0),$sum(X1,X2)),X1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1193,f5]) ).
tff(f1193,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($sum($uminus(X0),X1),X2),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f215,f299]) ).
tff(f1192,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f215,f4]) ).
tff(f1191,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f215,f4]) ).
tff(f1190,plain,
! [X0: $rat] :
( $less(-15/8,$sum(X0,-5/2))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f215,f788]) ).
tff(f1189,plain,
! [X0: $rat] :
( $less(-15/8,$sum(X0,sK0))
| ~ $less(-5/2,X0) ),
inference(superposition,[],[f215,f781]) ).
tff(f1188,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f215,f7]) ).
tff(f1187,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f215,f159]) ).
tff(f1185,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,$sum(X0,X1)))
| ~ $less(X2,X3) ),
inference(superposition,[],[f215,f5]) ).
tff(f1184,plain,
! [X0: $rat] :
( $less(5/2,$sum(X0,15/8))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f215,f457]) ).
tff(f1183,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(15/8,X0),$sum(X1,5/2))
| ~ $less($sum($uminus(sK0),X0),X1) ),
inference(superposition,[],[f215,f273]) ).
tff(f1182,plain,
! [X0: $rat] :
( $less(15/8,$sum(X0,5/2))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f215,f18]) ).
tff(f1181,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,$sum(X1,X0))
| ~ $less(0/1,X1) ),
inference(superposition,[],[f215,f6]) ).
tff(f1180,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f215,f8]) ).
tff(f1179,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum(X2,X0))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f215,f299]) ).
tff(f1176,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X3,X0))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f215,f10]) ).
tff(f1164,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(resolution,[],[f215,f1016]) ).
tff(f215,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f1152,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-10/1))),
inference(superposition,[],[f1091,f5]) ).
tff(f1091,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-10/1)),
inference(superposition,[],[f1014,f4]) ).
tff(f1141,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-10/1)),$sum(X0,X1)),
inference(superposition,[],[f1063,f5]) ).
tff(f1137,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-10/1))
| $less(X0,X1) ),
inference(resolution,[],[f1063,f10]) ).
tff(f1063,plain,
! [X0: $rat] : $less($sum(X0,-10/1),X0),
inference(superposition,[],[f1001,f4]) ).
tff(f1135,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-9/1))),
inference(superposition,[],[f1033,f5]) ).
tff(f1033,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-9/1)),
inference(superposition,[],[f538,f4]) ).
tff(f1124,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-9/1)),$sum(X0,X1)),
inference(superposition,[],[f1020,f5]) ).
tff(f1120,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-9/1))
| $less(X0,X1) ),
inference(resolution,[],[f1020,f10]) ).
tff(f1020,plain,
! [X0: $rat] : $less($sum(X0,-9/1),X0),
inference(superposition,[],[f537,f4]) ).
tff(f1112,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(superposition,[],[f1016,f4]) ).
tff(f1119,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1106]) ).
tff(f1106,plain,
! [X0: $rat] : $less(X0,$sum(11/1,$sum(1/1,X0))),
inference(resolution,[],[f1016,f33]) ).
tff(f1016,plain,
! [X0: $rat] : ~ $less($sum(11/1,X0),X0),
inference(evaluation,[],[f1005]) ).
tff(f1005,plain,
! [X0: $rat] : ~ $less($sum(10/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f502,f47]) ).
tff(f1099,plain,
! [X0: $rat] : $less(X0,$sum(X0,11/1)),
inference(superposition,[],[f1015,f4]) ).
tff(f1097,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(11/1,X1)) ),
inference(resolution,[],[f1015,f10]) ).
tff(f1015,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1006]) ).
tff(f1006,plain,
! [X0: $rat] : $less(X0,$sum(10/1,$sum(X0,1/1))),
inference(resolution,[],[f502,f13]) ).
tff(f1092,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-10/1)),
inference(superposition,[],[f1014,f4]) ).
tff(f1014,plain,
! [X0: $rat] : ~ $less(X0,$sum(-10/1,X0)),
inference(evaluation,[],[f1011]) ).
tff(f1011,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(10/1),X0)),
inference(superposition,[],[f502,f299]) ).
tff(f1080,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,10/1)),$sum(X0,X1)),
inference(superposition,[],[f1009,f5]) ).
tff(f1082,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1075]) ).
tff(f1075,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),10/1)),
inference(resolution,[],[f1009,f13]) ).
tff(f1083,plain,
! [X0: $rat] : ~ $less($sum(11/1,X0),X0),
inference(evaluation,[],[f1074]) ).
tff(f1074,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),10/1),X0),
inference(resolution,[],[f1009,f47]) ).
tff(f1084,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1073]) ).
tff(f1073,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),10/1)),
inference(resolution,[],[f1009,f33]) ).
tff(f1009,plain,
! [X0: $rat] : ~ $less($sum(X0,10/1),X0),
inference(superposition,[],[f502,f4]) ).
tff(f1064,plain,
! [X0: $rat] : $less($sum(X0,-10/1),X0),
inference(superposition,[],[f1001,f4]) ).
tff(f1061,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-10/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1001,f10]) ).
tff(f1001,plain,
! [X0: $rat] : $less($sum(-10/1,X0),X0),
inference(evaluation,[],[f998]) ).
tff(f998,plain,
! [X0: $rat] : $less($sum($uminus(10/1),X0),X0),
inference(superposition,[],[f501,f299]) ).
tff(f1059,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,10/1))),
inference(superposition,[],[f996,f5]) ).
tff(f1056,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,10/1)) ),
inference(resolution,[],[f996,f10]) ).
tff(f996,plain,
! [X0: $rat] : $less(X0,$sum(X0,10/1)),
inference(superposition,[],[f501,f4]) ).
tff(f1054,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-8/1))),
inference(superposition,[],[f911,f5]) ).
tff(f911,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-8/1)),
inference(superposition,[],[f540,f4]) ).
tff(f1043,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-8/1)),$sum(X0,X1)),
inference(superposition,[],[f898,f5]) ).
tff(f1039,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-8/1))
| $less(X0,X1) ),
inference(resolution,[],[f898,f10]) ).
tff(f898,plain,
! [X0: $rat] : $less($sum(X0,-8/1),X0),
inference(superposition,[],[f539,f4]) ).
tff(f1034,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-9/1)),
inference(superposition,[],[f538,f4]) ).
tff(f538,plain,
! [X0: $rat] : ~ $less(X0,$sum(-9/1,X0)),
inference(evaluation,[],[f535]) ).
tff(f535,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(9/1),X0)),
inference(superposition,[],[f446,f299]) ).
tff(f1021,plain,
! [X0: $rat] : $less($sum(X0,-9/1),X0),
inference(superposition,[],[f537,f4]) ).
tff(f1018,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-9/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f537,f10]) ).
tff(f537,plain,
! [X0: $rat] : $less($sum(-9/1,X0),X0),
inference(evaluation,[],[f536]) ).
tff(f536,plain,
! [X0: $rat] : $less($sum($uminus(9/1),X0),X0),
inference(superposition,[],[f445,f299]) ).
tff(f1010,plain,
! [X0: $rat] : ~ $less($sum(X0,10/1),X0),
inference(superposition,[],[f502,f4]) ).
tff(f1017,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1004]) ).
tff(f1004,plain,
! [X0: $rat] : $less(X0,$sum(10/1,$sum(1/1,X0))),
inference(resolution,[],[f502,f33]) ).
tff(f502,plain,
! [X0: $rat] : ~ $less($sum(10/1,X0),X0),
inference(evaluation,[],[f493]) ).
tff(f493,plain,
! [X0: $rat] : ~ $less($sum(9/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f446,f47]) ).
tff(f997,plain,
! [X0: $rat] : $less(X0,$sum(X0,10/1)),
inference(superposition,[],[f501,f4]) ).
tff(f995,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(10/1,X1)) ),
inference(resolution,[],[f501,f10]) ).
tff(f501,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f494]) ).
tff(f494,plain,
! [X0: $rat] : $less(X0,$sum(9/1,$sum(X0,1/1))),
inference(resolution,[],[f446,f13]) ).
tff(f990,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,9/1)),$sum(X0,X1)),
inference(superposition,[],[f499,f5]) ).
tff(f992,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f985]) ).
tff(f985,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),9/1)),
inference(resolution,[],[f499,f13]) ).
tff(f993,plain,
! [X0: $rat] : ~ $less($sum(10/1,X0),X0),
inference(evaluation,[],[f984]) ).
tff(f984,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),9/1),X0),
inference(resolution,[],[f499,f47]) ).
tff(f994,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f983]) ).
tff(f983,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),9/1)),
inference(resolution,[],[f499,f33]) ).
tff(f499,plain,
! [X0: $rat] : ~ $less($sum(X0,9/1),X0),
inference(superposition,[],[f446,f4]) ).
tff(f978,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,9/1))),
inference(superposition,[],[f488,f5]) ).
tff(f975,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,9/1)) ),
inference(resolution,[],[f488,f10]) ).
tff(f488,plain,
! [X0: $rat] : $less(X0,$sum(X0,9/1)),
inference(superposition,[],[f445,f4]) ).
tff(f973,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-7/1))),
inference(superposition,[],[f873,f5]) ).
tff(f873,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-7/1)),
inference(superposition,[],[f542,f4]) ).
tff(f948,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f12,f159]) ).
tff(f947,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f12,f159]) ).
tff(f946,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X0,X1)),X2) ),
inference(superposition,[],[f5,f159]) ).
tff(f945,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$uminus($sum(X0,X1)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f214,f159]) ).
tff(f944,plain,
! [X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),0/1)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f221,f159]) ).
tff(f942,plain,
! [X0: $rat] :
( $less(15/8,$uminus($sum(X0,sK0)))
| ~ $less(5/2,$uminus(X0)) ),
inference(superposition,[],[f212,f159]) ).
tff(f941,plain,
! [X0: $rat] :
( $less($uminus($sum(X0,sK0)),15/8)
| ~ $less($uminus(X0),5/2) ),
inference(superposition,[],[f219,f159]) ).
tff(f939,plain,
! [X0: $rat] : ( $sum(15/8,$uminus(X0)) = $sum(5/2,$uminus($sum(sK0,X0))) ),
inference(superposition,[],[f273,f159]) ).
tff(f938,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum(X0,$uminus($sum(X0,X1))) ),
inference(superposition,[],[f299,f159]) ).
tff(f935,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f159]) ).
tff(f930,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f159,f7]) ).
tff(f929,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum(X2,$sum($uminus(X0),X1))) ),
inference(superposition,[],[f159,f156]) ).
tff(f928,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X2,$sum(X0,$uminus(X1)))) ),
inference(superposition,[],[f159,f155]) ).
tff(f927,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f159,f14]) ).
tff(f958,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus($sum(X1,X2)),X0) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f957,f156]) ).
tff(f957,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($uminus(X0),$sum(X1,X2))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f956,f5]) ).
tff(f956,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f926,f5]) ).
tff(f926,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f159,f156]) ).
tff(f955,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X0,$sum($uminus(X1),X2))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f954,f5]) ).
tff(f954,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f953,f7]) ).
tff(f953,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f925,f5]) ).
tff(f925,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f159,f155]) ).
tff(f924,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$uminus(X1)) = $uminus($sum($uminus(X0),X1)) ),
inference(superposition,[],[f159,f14]) ).
tff(f159,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f921,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-7/1)),$sum(X0,X1)),
inference(superposition,[],[f829,f5]) ).
tff(f917,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-7/1))
| $less(X0,X1) ),
inference(resolution,[],[f829,f10]) ).
tff(f829,plain,
! [X0: $rat] : $less($sum(X0,-7/1),X0),
inference(superposition,[],[f541,f4]) ).
tff(f912,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-8/1)),
inference(superposition,[],[f540,f4]) ).
tff(f540,plain,
! [X0: $rat] : ~ $less(X0,$sum(-8/1,X0)),
inference(evaluation,[],[f533]) ).
tff(f533,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(8/1),X0)),
inference(superposition,[],[f399,f299]) ).
tff(f899,plain,
! [X0: $rat] : $less($sum(X0,-8/1),X0),
inference(superposition,[],[f539,f4]) ).
tff(f896,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-8/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f539,f10]) ).
tff(f539,plain,
! [X0: $rat] : $less($sum(-8/1,X0),X0),
inference(evaluation,[],[f534]) ).
tff(f534,plain,
! [X0: $rat] : $less($sum($uminus(8/1),X0),X0),
inference(superposition,[],[f398,f299]) ).
tff(f894,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-6/1))),
inference(superposition,[],[f804,f5]) ).
tff(f804,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-6/1)),
inference(superposition,[],[f544,f4]) ).
tff(f883,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-6/1)),$sum(X0,X1)),
inference(superposition,[],[f756,f5]) ).
tff(f879,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-6/1))
| $less(X0,X1) ),
inference(resolution,[],[f756,f10]) ).
tff(f756,plain,
! [X0: $rat] : $less($sum(X0,-6/1),X0),
inference(superposition,[],[f543,f4]) ).
tff(f874,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-7/1)),
inference(superposition,[],[f542,f4]) ).
tff(f542,plain,
! [X0: $rat] : ~ $less(X0,$sum(-7/1,X0)),
inference(evaluation,[],[f531]) ).
tff(f531,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(7/1),X0)),
inference(superposition,[],[f334,f299]) ).
tff(f865,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum($uminus(X0),X1),$sum($uminus(X1),$sum(X0,X2))) = X2 ),
inference(forward_demodulation,[],[f855,f5]) ).
tff(f855,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum($uminus(X0),X1),$sum($sum($uminus(X1),X0),X2)) = X2 ),
inference(superposition,[],[f299,f156]) ).
tff(f854,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum($uminus(X1),X0)),0/1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f221,f156]) ).
tff(f853,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum($uminus(X1),X0)))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f214,f156]) ).
tff(f864,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X1,$uminus(X2))) = $uminus($sum(X2,$sum($uminus(X1),X0))) ),
inference(forward_demodulation,[],[f852,f5]) ).
tff(f852,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X1),X0))) = $sum($sum($uminus(X0),X1),$uminus(X2)) ),
inference(superposition,[],[f155,f156]) ).
tff(f851,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X1),X0),$sum($uminus(X0),X1)) ),
inference(superposition,[],[f20,f156]) ).
tff(f849,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X0),X1),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f8,f156]) ).
tff(f863,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f848,f5]) ).
tff(f848,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f7,f156]) ).
tff(f862,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $sum($uminus($sum(X1,X2)),X0) ),
inference(forward_demodulation,[],[f861,f156]) ).
tff(f861,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum($uminus(X0),$sum(X1,X2))) ),
inference(forward_demodulation,[],[f847,f5]) ).
tff(f847,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X2),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f7,f156]) ).
tff(f857,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum($uminus($sum(X0,X1)),X0) ),
inference(evaluation,[],[f842]) ).
tff(f842,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0) ),
inference(superposition,[],[f156,f299]) ).
tff(f841,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f156,f4]) ).
tff(f840,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f156,f4]) ).
tff(f860,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $sum($uminus($sum(X0,X2)),X1) ),
inference(forward_demodulation,[],[f859,f156]) ).
tff(f859,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($uminus(X1),$sum(X0,X2))) ),
inference(forward_demodulation,[],[f837,f5]) ).
tff(f837,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($sum($uminus(X1),X0),X2)) ),
inference(superposition,[],[f156,f156]) ).
tff(f858,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum(X1,$sum($uminus(X0),X2))) ),
inference(forward_demodulation,[],[f836,f5]) ).
tff(f836,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum($sum(X1,$uminus(X0)),X2)) ),
inference(superposition,[],[f156,f155]) ).
tff(f156,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f7,f14]) ).
tff(f830,plain,
! [X0: $rat] : $less($sum(X0,-7/1),X0),
inference(superposition,[],[f541,f4]) ).
tff(f827,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-7/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f541,f10]) ).
tff(f541,plain,
! [X0: $rat] : $less($sum(-7/1,X0),X0),
inference(evaluation,[],[f532]) ).
tff(f532,plain,
! [X0: $rat] : $less($sum($uminus(7/1),X0),X0),
inference(superposition,[],[f333,f299]) ).
tff(f825,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-5/1))),
inference(superposition,[],[f731,f5]) ).
tff(f731,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-5/1)),
inference(superposition,[],[f546,f4]) ).
tff(f814,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-5/1)),$sum(X0,X1)),
inference(superposition,[],[f718,f5]) ).
tff(f810,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-5/1))
| $less(X0,X1) ),
inference(resolution,[],[f718,f10]) ).
tff(f718,plain,
! [X0: $rat] : $less($sum(X0,-5/1),X0),
inference(superposition,[],[f545,f4]) ).
tff(f805,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-6/1)),
inference(superposition,[],[f544,f4]) ).
tff(f544,plain,
! [X0: $rat] : ~ $less(X0,$sum(-6/1,X0)),
inference(evaluation,[],[f529]) ).
tff(f529,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(6/1),X0)),
inference(superposition,[],[f263,f299]) ).
tff(f797,plain,
! [X0: $rat] :
( $less(-15/8,$sum(X0,sK0))
| ~ $less(-5/2,X0) ),
inference(superposition,[],[f12,f788]) ).
tff(f796,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),-15/8)
| ~ $less(X0,-5/2) ),
inference(superposition,[],[f12,f788]) ).
tff(f795,plain,
! [X0: $rat] : ( $sum(-15/8,X0) = $sum(-5/2,$sum(sK0,X0)) ),
inference(superposition,[],[f5,f788]) ).
tff(f788,plain,
-15/8 = $sum(-5/2,sK0),
inference(superposition,[],[f781,f4]) ).
tff(f794,plain,
-15/8 = $sum(-5/2,sK0),
inference(superposition,[],[f4,f781]) ).
tff(f793,plain,
-15/8 = $sum(-5/2,sK0),
inference(superposition,[],[f4,f781]) ).
tff(f792,plain,
! [X0: $rat] :
( $less(-15/8,$sum(X0,-5/2))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f781]) ).
tff(f791,plain,
! [X0: $rat] :
( $less($sum(X0,-5/2),-15/8)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f12,f781]) ).
tff(f790,plain,
! [X0: $rat] : ( $sum(sK0,$sum(-5/2,X0)) = $sum(-15/8,X0) ),
inference(superposition,[],[f5,f781]) ).
tff(f789,plain,
-15/8 = $sum(-5/2,sK0),
inference(superposition,[],[f781,f4]) ).
tff(f781,plain,
$sum(sK0,-5/2) = -15/8,
inference(evaluation,[],[f768]) ).
tff(f768,plain,
$sum(sK0,$uminus(5/2)) = $uminus(15/8),
inference(superposition,[],[f155,f18]) ).
tff(f787,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$sum(X1,$sum($uminus(X0),X2))) = X2 ),
inference(forward_demodulation,[],[f779,f5]) ).
tff(f779,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$sum($sum(X1,$uminus(X0)),X2)) = X2 ),
inference(superposition,[],[f299,f155]) ).
tff(f778,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum(X1,$uminus(X0))),0/1)
| ~ $less(X2,$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f221,f155]) ).
tff(f777,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum(X1,$uminus(X0))))
| ~ $less($sum(X0,$uminus(X1)),X2) ),
inference(superposition,[],[f214,f155]) ).
tff(f776,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f20,f155]) ).
tff(f774,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X0,$uminus(X1)),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f8,f155]) ).
tff(f786,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f785,f7]) ).
tff(f785,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f773,f5]) ).
tff(f773,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f7,f155]) ).
tff(f784,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X0,$sum($uminus(X1),X2))) ),
inference(forward_demodulation,[],[f772,f5]) ).
tff(f772,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($uminus(X2),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f7,f155]) ).
tff(f769,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X2,$uminus($sum(X0,X1))) = $uminus($sum(X0,$sum(X1,$uminus(X2)))) ),
inference(superposition,[],[f155,f5]) ).
tff(f767,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f155,f4]) ).
tff(f766,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f155,f4]) ).
tff(f783,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$uminus($sum(X2,X1))) ),
inference(forward_demodulation,[],[f782,f7]) ).
tff(f782,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$sum($uminus(X1),$uminus(X2))) ),
inference(forward_demodulation,[],[f764,f5]) ).
tff(f764,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$uminus(X2)) = $uminus($sum(X2,$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f155,f155]) ).
tff(f155,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f7,f14]) ).
tff(f757,plain,
! [X0: $rat] : $less($sum(X0,-6/1),X0),
inference(superposition,[],[f543,f4]) ).
tff(f754,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-6/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f543,f10]) ).
tff(f543,plain,
! [X0: $rat] : $less($sum(-6/1,X0),X0),
inference(evaluation,[],[f530]) ).
tff(f530,plain,
! [X0: $rat] : $less($sum($uminus(6/1),X0),X0),
inference(superposition,[],[f262,f299]) ).
tff(f752,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-4/1))),
inference(superposition,[],[f681,f5]) ).
tff(f681,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-4/1)),
inference(superposition,[],[f548,f4]) ).
tff(f741,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-4/1)),$sum(X0,X1)),
inference(superposition,[],[f668,f5]) ).
tff(f737,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-4/1))
| $less(X0,X1) ),
inference(resolution,[],[f668,f10]) ).
tff(f668,plain,
! [X0: $rat] : $less($sum(X0,-4/1),X0),
inference(superposition,[],[f547,f4]) ).
tff(f732,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-5/1)),
inference(superposition,[],[f546,f4]) ).
tff(f546,plain,
! [X0: $rat] : ~ $less(X0,$sum(-5/1,X0)),
inference(evaluation,[],[f527]) ).
tff(f527,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(5/1),X0)),
inference(superposition,[],[f205,f299]) ).
tff(f719,plain,
! [X0: $rat] : $less($sum(X0,-5/1),X0),
inference(superposition,[],[f545,f4]) ).
tff(f716,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-5/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f545,f10]) ).
tff(f545,plain,
! [X0: $rat] : $less($sum(-5/1,X0),X0),
inference(evaluation,[],[f528]) ).
tff(f528,plain,
! [X0: $rat] : $less($sum($uminus(5/1),X0),X0),
inference(superposition,[],[f204,f299]) ).
tff(f714,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-3/1))),
inference(superposition,[],[f622,f5]) ).
tff(f622,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-3/1)),
inference(superposition,[],[f550,f4]) ).
tff(f701,plain,
! [X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),0/1)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f221,f7]) ).
tff(f700,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,$uminus(X2))),0/1)
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f221,f5]) ).
tff(f698,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X0),0/1)
| ~ $less(X0,X1) ),
inference(superposition,[],[f221,f4]) ).
tff(f697,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X0),0/1)
| ~ $less(X0,X1) ),
inference(superposition,[],[f221,f4]) ).
tff(f695,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f221,f14]) ).
tff(f694,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,$uminus(X1)))
| $less(X2,0/1) ),
inference(resolution,[],[f221,f10]) ).
tff(f221,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,$uminus(X0)),0/1)
| ~ $less(X1,X0) ),
inference(superposition,[],[f12,f8]) ).
tff(f691,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-3/1)),$sum(X0,X1)),
inference(superposition,[],[f609,f5]) ).
tff(f687,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-3/1))
| $less(X0,X1) ),
inference(resolution,[],[f609,f10]) ).
tff(f609,plain,
! [X0: $rat] : $less($sum(X0,-3/1),X0),
inference(superposition,[],[f549,f4]) ).
tff(f682,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-4/1)),
inference(superposition,[],[f548,f4]) ).
tff(f548,plain,
! [X0: $rat] : ~ $less(X0,$sum(-4/1,X0)),
inference(evaluation,[],[f525]) ).
tff(f525,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(4/1),X0)),
inference(superposition,[],[f153,f299]) ).
tff(f669,plain,
! [X0: $rat] : $less($sum(X0,-4/1),X0),
inference(superposition,[],[f547,f4]) ).
tff(f666,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-4/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f547,f10]) ).
tff(f547,plain,
! [X0: $rat] : $less($sum(-4/1,X0),X0),
inference(evaluation,[],[f526]) ).
tff(f526,plain,
! [X0: $rat] : $less($sum($uminus(4/1),X0),X0),
inference(superposition,[],[f152,f299]) ).
tff(f664,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-1/1))),
inference(superposition,[],[f601,f5]) ).
tff(f601,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-1/1)),
inference(superposition,[],[f555,f4]) ).
tff(f654,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-2/1))),
inference(superposition,[],[f589,f5]) ).
tff(f589,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-2/1)),
inference(superposition,[],[f552,f4]) ).
tff(f643,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-2/1)),$sum(X0,X1)),
inference(superposition,[],[f576,f5]) ).
tff(f639,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-2/1))
| $less(X0,X1) ),
inference(resolution,[],[f576,f10]) ).
tff(f576,plain,
! [X0: $rat] : $less($sum(X0,-2/1),X0),
inference(superposition,[],[f551,f4]) ).
tff(f635,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$uminus($sum(X1,X0)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f214,f7]) ).
tff(f634,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X0,$sum(X1,$uminus(X2))))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f214,f5]) ).
tff(f632,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f214,f4]) ).
tff(f631,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f214,f4]) ).
tff(f629,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f214,f14]) ).
tff(f628,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,0/1)
| $less(X2,$sum(X1,$uminus(X0))) ),
inference(resolution,[],[f214,f10]) ).
tff(f214,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f12,f8]) ).
tff(f623,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-3/1)),
inference(superposition,[],[f550,f4]) ).
tff(f550,plain,
! [X0: $rat] : ~ $less(X0,$sum(-3/1,X0)),
inference(evaluation,[],[f523]) ).
tff(f523,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(3/1),X0)),
inference(superposition,[],[f107,f299]) ).
tff(f610,plain,
! [X0: $rat] : $less($sum(X0,-3/1),X0),
inference(superposition,[],[f549,f4]) ).
tff(f607,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-3/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f549,f10]) ).
tff(f549,plain,
! [X0: $rat] : $less($sum(-3/1,X0),X0),
inference(evaluation,[],[f524]) ).
tff(f524,plain,
! [X0: $rat] : $less($sum($uminus(3/1),X0),X0),
inference(superposition,[],[f105,f299]) ).
tff(f602,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-1/1)),
inference(superposition,[],[f555,f4]) ).
tff(f555,plain,
! [X0: $rat] : ~ $less(X0,$sum(-1/1,X0)),
inference(evaluation,[],[f518]) ).
tff(f518,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(1/1),X0)),
inference(superposition,[],[f73,f299]) ).
tff(f590,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-2/1)),
inference(superposition,[],[f552,f4]) ).
tff(f552,plain,
! [X0: $rat] : ~ $less(X0,$sum(-2/1,X0)),
inference(evaluation,[],[f521]) ).
tff(f521,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(2/1),X0)),
inference(superposition,[],[f78,f299]) ).
tff(f577,plain,
! [X0: $rat] : $less($sum(X0,-2/1),X0),
inference(superposition,[],[f551,f4]) ).
tff(f574,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-2/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f551,f10]) ).
tff(f551,plain,
! [X0: $rat] : $less($sum(-2/1,X0),X0),
inference(evaluation,[],[f522]) ).
tff(f522,plain,
! [X0: $rat] : $less($sum($uminus(2/1),X0),X0),
inference(superposition,[],[f76,f299]) ).
tff(f571,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-1/1)),$sum(X0,X1)),
inference(superposition,[],[f560,f5]) ).
tff(f567,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-1/1))
| $less(X0,X1) ),
inference(resolution,[],[f560,f10]) ).
tff(f560,plain,
! [X0: $rat] : $less($sum(X0,-1/1),X0),
inference(superposition,[],[f553,f4]) ).
tff(f561,plain,
! [X0: $rat] : $less($sum(X0,-1/1),X0),
inference(superposition,[],[f553,f4]) ).
tff(f558,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-1/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f553,f10]) ).
tff(f553,plain,
! [X0: $rat] : $less($sum(-1/1,X0),X0),
inference(evaluation,[],[f520]) ).
tff(f520,plain,
! [X0: $rat] : $less($sum($uminus(1/1),X0),X0),
inference(superposition,[],[f37,f299]) ).
tff(f554,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less($sum(-1/1,X0),X1) ),
inference(evaluation,[],[f519]) ).
tff(f519,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less($sum($uminus(1/1),X0),X1) ),
inference(superposition,[],[f33,f299]) ).
tff(f556,plain,
! [X0: $rat] : ( $sum(15/8,$sum(sK0,X0)) = $sum(5/2,X0) ),
inference(evaluation,[],[f517]) ).
tff(f517,plain,
! [X0: $rat] : ( $sum(5/2,X0) = $sum(15/8,$sum($uminus($uminus(sK0)),X0)) ),
inference(superposition,[],[f273,f299]) ).
tff(f516,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f5,f299]) ).
tff(f515,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum(X2,$sum($uminus(X0),X1)))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f299]) ).
tff(f514,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum($uminus(X0),X1)),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f299]) ).
tff(f512,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f299,f5]) ).
tff(f508,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f299,f4]) ).
tff(f507,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f299,f4]) ).
tff(f506,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
inference(superposition,[],[f299,f7]) ).
tff(f504,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(superposition,[],[f299,f14]) ).
tff(f299,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f270]) ).
tff(f270,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f500,plain,
! [X0: $rat] : ~ $less($sum(X0,9/1),X0),
inference(superposition,[],[f446,f4]) ).
tff(f503,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f492]) ).
tff(f492,plain,
! [X0: $rat] : $less(X0,$sum(9/1,$sum(1/1,X0))),
inference(resolution,[],[f446,f33]) ).
tff(f446,plain,
! [X0: $rat] : ~ $less($sum(9/1,X0),X0),
inference(evaluation,[],[f437]) ).
tff(f437,plain,
! [X0: $rat] : ~ $less($sum(8/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f399,f47]) ).
tff(f489,plain,
! [X0: $rat] : $less(X0,$sum(X0,9/1)),
inference(superposition,[],[f445,f4]) ).
tff(f485,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(9/1,X1)) ),
inference(resolution,[],[f445,f10]) ).
tff(f445,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f438]) ).
tff(f438,plain,
! [X0: $rat] : $less(X0,$sum(8/1,$sum(X0,1/1))),
inference(resolution,[],[f399,f13]) ).
tff(f480,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,8/1)),$sum(X0,X1)),
inference(superposition,[],[f443,f5]) ).
tff(f482,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f475]) ).
tff(f475,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),8/1)),
inference(resolution,[],[f443,f13]) ).
tff(f483,plain,
! [X0: $rat] : ~ $less($sum(9/1,X0),X0),
inference(evaluation,[],[f474]) ).
tff(f474,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),8/1),X0),
inference(resolution,[],[f443,f47]) ).
tff(f484,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f473]) ).
tff(f473,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),8/1)),
inference(resolution,[],[f443,f33]) ).
tff(f443,plain,
! [X0: $rat] : ~ $less($sum(X0,8/1),X0),
inference(superposition,[],[f399,f4]) ).
tff(f468,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,8/1))),
inference(superposition,[],[f432,f5]) ).
tff(f465,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,8/1)) ),
inference(resolution,[],[f432,f10]) ).
tff(f432,plain,
! [X0: $rat] : $less(X0,$sum(X0,8/1)),
inference(superposition,[],[f398,f4]) ).
tff(f464,plain,
! [X0: $rat] :
( $less(5/2,$sum(X0,sK0))
| ~ $less(15/8,X0) ),
inference(superposition,[],[f12,f457]) ).
tff(f463,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),5/2)
| ~ $less(X0,15/8) ),
inference(superposition,[],[f12,f457]) ).
tff(f462,plain,
! [X0: $rat] : ( $sum(15/8,$sum(sK0,X0)) = $sum(5/2,X0) ),
inference(superposition,[],[f5,f457]) ).
tff(f457,plain,
5/2 = $sum(15/8,sK0),
inference(evaluation,[],[f451]) ).
tff(f451,plain,
$sum(5/2,0/1) = $sum(15/8,$uminus($uminus(sK0))),
inference(superposition,[],[f273,f8]) ).
tff(f456,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(15/8,X0),$sum(X1,$sum($uminus(sK0),X0)))
| ~ $less(5/2,X1) ),
inference(superposition,[],[f12,f273]) ).
tff(f455,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,$sum($uminus(sK0),X0)),$sum(15/8,X0))
| ~ $less(X1,5/2) ),
inference(superposition,[],[f12,f273]) ).
tff(f453,plain,
! [X0: $rat] : ( $sum(15/8,X0) = $sum(5/2,$sum(X0,$uminus(sK0))) ),
inference(superposition,[],[f273,f4]) ).
tff(f452,plain,
! [X0: $rat] : ( $sum(15/8,X0) = $sum(5/2,$sum(X0,$uminus(sK0))) ),
inference(superposition,[],[f273,f4]) ).
tff(f449,plain,
! [X0: $rat] : ( $sum(15/8,$uminus(X0)) = $sum(5/2,$uminus($sum(X0,sK0))) ),
inference(superposition,[],[f273,f7]) ).
tff(f459,plain,
5/2 = $sum(15/8,sK0),
inference(evaluation,[],[f448]) ).
tff(f448,plain,
$sum(15/8,sK0) = $sum(5/2,0/1),
inference(superposition,[],[f273,f20]) ).
tff(f273,plain,
! [X0: $rat] : ( $sum(5/2,$sum($uminus(sK0),X0)) = $sum(15/8,X0) ),
inference(superposition,[],[f5,f18]) ).
tff(f444,plain,
! [X0: $rat] : ~ $less($sum(X0,8/1),X0),
inference(superposition,[],[f399,f4]) ).
tff(f447,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f436]) ).
tff(f436,plain,
! [X0: $rat] : $less(X0,$sum(8/1,$sum(1/1,X0))),
inference(resolution,[],[f399,f33]) ).
tff(f399,plain,
! [X0: $rat] : ~ $less($sum(8/1,X0),X0),
inference(evaluation,[],[f390]) ).
tff(f390,plain,
! [X0: $rat] : ~ $less($sum(7/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f334,f47]) ).
tff(f433,plain,
! [X0: $rat] : $less(X0,$sum(X0,8/1)),
inference(superposition,[],[f398,f4]) ).
tff(f429,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(8/1,X1)) ),
inference(resolution,[],[f398,f10]) ).
tff(f398,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f391]) ).
tff(f391,plain,
! [X0: $rat] : $less(X0,$sum(7/1,$sum(X0,1/1))),
inference(resolution,[],[f334,f13]) ).
tff(f424,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,7/1)),$sum(X0,X1)),
inference(superposition,[],[f396,f5]) ).
tff(f426,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f419]) ).
tff(f419,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),7/1)),
inference(resolution,[],[f396,f13]) ).
tff(f427,plain,
! [X0: $rat] : ~ $less($sum(8/1,X0),X0),
inference(evaluation,[],[f418]) ).
tff(f418,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),7/1),X0),
inference(resolution,[],[f396,f47]) ).
tff(f428,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f417]) ).
tff(f417,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),7/1)),
inference(resolution,[],[f396,f33]) ).
tff(f396,plain,
! [X0: $rat] : ~ $less($sum(X0,7/1),X0),
inference(superposition,[],[f334,f4]) ).
tff(f412,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,7/1))),
inference(superposition,[],[f385,f5]) ).
tff(f409,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,7/1)) ),
inference(resolution,[],[f385,f10]) ).
tff(f385,plain,
! [X0: $rat] : $less(X0,$sum(X0,7/1)),
inference(superposition,[],[f333,f4]) ).
tff(f407,plain,
! [X0: $rat] :
( $less($uminus($sum(sK0,X0)),15/8)
| ~ $less($uminus(X0),5/2) ),
inference(superposition,[],[f219,f7]) ).
tff(f406,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,$uminus(sK0))),15/8)
| ~ $less($sum(X0,X1),5/2) ),
inference(superposition,[],[f219,f5]) ).
tff(f404,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),15/8)
| ~ $less(X0,5/2) ),
inference(superposition,[],[f219,f4]) ).
tff(f403,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),15/8)
| ~ $less(X0,5/2) ),
inference(superposition,[],[f219,f4]) ).
tff(f401,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,5/2)
| ~ $less(X1,$sum(X0,$uminus(sK0)))
| $less(X1,15/8) ),
inference(resolution,[],[f219,f10]) ).
tff(f219,plain,
! [X0: $rat] :
( $less($sum(X0,$uminus(sK0)),15/8)
| ~ $less(X0,5/2) ),
inference(superposition,[],[f12,f18]) ).
tff(f397,plain,
! [X0: $rat] : ~ $less($sum(X0,7/1),X0),
inference(superposition,[],[f334,f4]) ).
tff(f400,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f389]) ).
tff(f389,plain,
! [X0: $rat] : $less(X0,$sum(7/1,$sum(1/1,X0))),
inference(resolution,[],[f334,f33]) ).
tff(f334,plain,
! [X0: $rat] : ~ $less($sum(7/1,X0),X0),
inference(evaluation,[],[f325]) ).
tff(f325,plain,
! [X0: $rat] : ~ $less($sum(6/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f263,f47]) ).
tff(f386,plain,
! [X0: $rat] : $less(X0,$sum(X0,7/1)),
inference(superposition,[],[f333,f4]) ).
tff(f382,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(7/1,X1)) ),
inference(resolution,[],[f333,f10]) ).
tff(f333,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f326]) ).
tff(f326,plain,
! [X0: $rat] : $less(X0,$sum(6/1,$sum(X0,1/1))),
inference(resolution,[],[f263,f13]) ).
tff(f377,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,6/1)),$sum(X0,X1)),
inference(superposition,[],[f331,f5]) ).
tff(f379,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f372]) ).
tff(f372,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),6/1)),
inference(resolution,[],[f331,f13]) ).
tff(f380,plain,
! [X0: $rat] : ~ $less($sum(7/1,X0),X0),
inference(evaluation,[],[f371]) ).
tff(f371,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),6/1),X0),
inference(resolution,[],[f331,f47]) ).
tff(f381,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f370]) ).
tff(f370,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),6/1)),
inference(resolution,[],[f331,f33]) ).
tff(f331,plain,
! [X0: $rat] : ~ $less($sum(X0,6/1),X0),
inference(superposition,[],[f263,f4]) ).
tff(f351,plain,
( $less(sK0,5/2)
| ( 5/2 = sK0 ) ),
inference(resolution,[],[f349,f11]) ).
tff(f352,plain,
( $less(sK0,5/2)
| ( 5/2 = sK0 ) ),
inference(resolution,[],[f349,f11]) ).
tff(f349,plain,
~ $less(5/2,sK0),
inference(evaluation,[],[f348]) ).
tff(f348,plain,
( $less(15/8,0/1)
| ~ $less(5/2,$uminus($uminus(sK0))) ),
inference(superposition,[],[f212,f20]) ).
tff(f347,plain,
! [X0: $rat] :
( $less(15/8,$uminus($sum(sK0,X0)))
| ~ $less(5/2,$uminus(X0)) ),
inference(superposition,[],[f212,f7]) ).
tff(f346,plain,
! [X0: $rat,X1: $rat] :
( $less(15/8,$sum(X0,$sum(X1,$uminus(sK0))))
| ~ $less(5/2,$sum(X0,X1)) ),
inference(superposition,[],[f212,f5]) ).
tff(f344,plain,
! [X0: $rat] :
( $less(15/8,$sum($uminus(sK0),X0))
| ~ $less(5/2,X0) ),
inference(superposition,[],[f212,f4]) ).
tff(f343,plain,
! [X0: $rat] :
( $less(15/8,$sum($uminus(sK0),X0))
| ~ $less(5/2,X0) ),
inference(superposition,[],[f212,f4]) ).
tff(f350,plain,
~ $less(5/2,sK0),
inference(evaluation,[],[f342]) ).
tff(f342,plain,
( $less(15/8,0/1)
| ~ $less(5/2,sK0) ),
inference(superposition,[],[f212,f8]) ).
tff(f341,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(5/2,X0)
| ~ $less(X1,15/8)
| $less(X1,$sum(X0,$uminus(sK0))) ),
inference(resolution,[],[f212,f10]) ).
tff(f212,plain,
! [X0: $rat] :
( $less(15/8,$sum(X0,$uminus(sK0)))
| ~ $less(5/2,X0) ),
inference(superposition,[],[f12,f18]) ).
tff(f339,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,6/1))),
inference(superposition,[],[f320,f5]) ).
tff(f336,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,6/1)) ),
inference(resolution,[],[f320,f10]) ).
tff(f320,plain,
! [X0: $rat] : $less(X0,$sum(X0,6/1)),
inference(superposition,[],[f262,f4]) ).
tff(f332,plain,
! [X0: $rat] : ~ $less($sum(X0,6/1),X0),
inference(superposition,[],[f263,f4]) ).
tff(f335,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f324]) ).
tff(f324,plain,
! [X0: $rat] : $less(X0,$sum(6/1,$sum(1/1,X0))),
inference(resolution,[],[f263,f33]) ).
tff(f263,plain,
! [X0: $rat] : ~ $less($sum(6/1,X0),X0),
inference(evaluation,[],[f254]) ).
tff(f254,plain,
! [X0: $rat] : ~ $less($sum(5/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f205,f47]) ).
tff(f321,plain,
! [X0: $rat] : $less(X0,$sum(X0,6/1)),
inference(superposition,[],[f262,f4]) ).
tff(f317,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(6/1,X1)) ),
inference(resolution,[],[f262,f10]) ).
tff(f262,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f255]) ).
tff(f255,plain,
! [X0: $rat] : $less(X0,$sum(5/1,$sum(X0,1/1))),
inference(resolution,[],[f205,f13]) ).
tff(f312,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,5/1)),$sum(X0,X1)),
inference(superposition,[],[f260,f5]) ).
tff(f314,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f307]) ).
tff(f307,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),5/1)),
inference(resolution,[],[f260,f13]) ).
tff(f315,plain,
! [X0: $rat] : ~ $less($sum(6/1,X0),X0),
inference(evaluation,[],[f306]) ).
tff(f306,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),5/1),X0),
inference(resolution,[],[f260,f47]) ).
tff(f316,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f305]) ).
tff(f305,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),5/1)),
inference(resolution,[],[f260,f33]) ).
tff(f260,plain,
! [X0: $rat] : ~ $less($sum(X0,5/1),X0),
inference(superposition,[],[f205,f4]) ).
tff(f297,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,5/1))),
inference(superposition,[],[f249,f5]) ).
tff(f296,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,4/1))),
inference(superposition,[],[f191,f5]) ).
tff(f295,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,4/1)),$sum(X0,X1)),
inference(superposition,[],[f202,f5]) ).
tff(f294,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,3/1))),
inference(superposition,[],[f139,f5]) ).
tff(f293,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,3/1)),$sum(X0,X1)),
inference(superposition,[],[f150,f5]) ).
tff(f292,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,2/1))),
inference(superposition,[],[f94,f5]) ).
tff(f291,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,2/1)),$sum(X0,X1)),
inference(superposition,[],[f103,f5]) ).
tff(f290,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X2,$sum(X0,$sum(X1,1/1)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f13,f5]) ).
tff(f289,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,1/1))),
inference(superposition,[],[f32,f5]) ).
tff(f288,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X2,$sum(X0,$sum(X1,1/1)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f47,f5]) ).
tff(f287,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,1/1)),$sum(X0,X1)),
inference(superposition,[],[f62,f5]) ).
tff(f285,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f8,f5]) ).
tff(f284,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f283,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f282,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f12,f5]) ).
tff(f281,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f12,f5]) ).
tff(f280,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f279,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f276,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f5,f7]) ).
tff(f298,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f275]) ).
tff(f275,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f5,f20]) ).
tff(f272,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f271,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f265,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,5/1)) ),
inference(resolution,[],[f249,f10]) ).
tff(f249,plain,
! [X0: $rat] : $less(X0,$sum(X0,5/1)),
inference(superposition,[],[f204,f4]) ).
tff(f261,plain,
! [X0: $rat] : ~ $less($sum(X0,5/1),X0),
inference(superposition,[],[f205,f4]) ).
tff(f264,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f253]) ).
tff(f253,plain,
! [X0: $rat] : $less(X0,$sum(5/1,$sum(1/1,X0))),
inference(resolution,[],[f205,f33]) ).
tff(f205,plain,
! [X0: $rat] : ~ $less($sum(5/1,X0),X0),
inference(evaluation,[],[f196]) ).
tff(f196,plain,
! [X0: $rat] : ~ $less($sum(4/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f153,f47]) ).
tff(f250,plain,
! [X0: $rat] : $less(X0,$sum(X0,5/1)),
inference(superposition,[],[f204,f4]) ).
tff(f246,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(5/1,X1)) ),
inference(resolution,[],[f204,f10]) ).
tff(f204,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f197]) ).
tff(f197,plain,
! [X0: $rat] : $less(X0,$sum(4/1,$sum(X0,1/1))),
inference(resolution,[],[f153,f13]) ).
tff(f243,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f237]) ).
tff(f237,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),4/1)),
inference(resolution,[],[f202,f13]) ).
tff(f244,plain,
! [X0: $rat] : ~ $less($sum(5/1,X0),X0),
inference(evaluation,[],[f236]) ).
tff(f236,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),4/1),X0),
inference(resolution,[],[f202,f47]) ).
tff(f245,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f235]) ).
tff(f235,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),4/1)),
inference(resolution,[],[f202,f33]) ).
tff(f202,plain,
! [X0: $rat] : ~ $less($sum(X0,4/1),X0),
inference(superposition,[],[f153,f4]) ).
tff(f228,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,4/1)) ),
inference(resolution,[],[f191,f10]) ).
tff(f191,plain,
! [X0: $rat] : $less(X0,$sum(X0,4/1)),
inference(superposition,[],[f152,f4]) ).
tff(f225,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f12,f7]) ).
tff(f224,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f12,f20]) ).
tff(f223,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f218,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f12,f7]) ).
tff(f217,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f12,f20]) ).
tff(f216,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f211,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f12,f10]) ).
tff(f12,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f203,plain,
! [X0: $rat] : ~ $less($sum(X0,4/1),X0),
inference(superposition,[],[f153,f4]) ).
tff(f206,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f195]) ).
tff(f195,plain,
! [X0: $rat] : $less(X0,$sum(4/1,$sum(1/1,X0))),
inference(resolution,[],[f153,f33]) ).
tff(f153,plain,
! [X0: $rat] : ~ $less($sum(4/1,X0),X0),
inference(evaluation,[],[f144]) ).
tff(f144,plain,
! [X0: $rat] : ~ $less($sum(3/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f107,f47]) ).
tff(f192,plain,
! [X0: $rat] : $less(X0,$sum(X0,4/1)),
inference(superposition,[],[f152,f4]) ).
tff(f188,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(4/1,X1)) ),
inference(resolution,[],[f152,f10]) ).
tff(f152,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f145]) ).
tff(f145,plain,
! [X0: $rat] : $less(X0,$sum(3/1,$sum(X0,1/1))),
inference(resolution,[],[f107,f13]) ).
tff(f185,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f179]) ).
tff(f179,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),3/1)),
inference(resolution,[],[f150,f13]) ).
tff(f186,plain,
! [X0: $rat] : ~ $less($sum(4/1,X0),X0),
inference(evaluation,[],[f178]) ).
tff(f178,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),3/1),X0),
inference(resolution,[],[f150,f47]) ).
tff(f187,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f177]) ).
tff(f177,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),3/1)),
inference(resolution,[],[f150,f33]) ).
tff(f150,plain,
! [X0: $rat] : ~ $less($sum(X0,3/1),X0),
inference(superposition,[],[f107,f4]) ).
tff(f171,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,3/1)) ),
inference(resolution,[],[f139,f10]) ).
tff(f139,plain,
! [X0: $rat] : $less(X0,$sum(X0,3/1)),
inference(superposition,[],[f105,f4]) ).
tff(f164,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f163,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f160,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f7,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f151,plain,
! [X0: $rat] : ~ $less($sum(X0,3/1),X0),
inference(superposition,[],[f107,f4]) ).
tff(f154,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f143]) ).
tff(f143,plain,
! [X0: $rat] : $less(X0,$sum(3/1,$sum(1/1,X0))),
inference(resolution,[],[f107,f33]) ).
tff(f107,plain,
! [X0: $rat] : ~ $less($sum(3/1,X0),X0),
inference(evaluation,[],[f96]) ).
tff(f96,plain,
! [X0: $rat] : ~ $less($sum(2/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f78,f47]) ).
tff(f140,plain,
! [X0: $rat] : $less(X0,$sum(X0,3/1)),
inference(superposition,[],[f105,f4]) ).
tff(f136,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(3/1,X1)) ),
inference(resolution,[],[f105,f10]) ).
tff(f105,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f98]) ).
tff(f98,plain,
! [X0: $rat] : $less(X0,$sum(2/1,$sum(1/1,X0))),
inference(resolution,[],[f78,f33]) ).
tff(f133,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f127]) ).
tff(f127,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),2/1)),
inference(resolution,[],[f103,f13]) ).
tff(f134,plain,
! [X0: $rat] : ~ $less($sum(3/1,X0),X0),
inference(evaluation,[],[f126]) ).
tff(f126,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),2/1),X0),
inference(resolution,[],[f103,f47]) ).
tff(f135,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),2/1)),
inference(resolution,[],[f103,f33]) ).
tff(f103,plain,
! [X0: $rat] : ~ $less($sum(X0,2/1),X0),
inference(superposition,[],[f78,f4]) ).
tff(f119,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2/1)) ),
inference(resolution,[],[f94,f10]) ).
tff(f94,plain,
! [X0: $rat] : $less(X0,$sum(X0,2/1)),
inference(superposition,[],[f76,f4]) ).
tff(f114,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f109,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f11,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f104,plain,
! [X0: $rat] : ~ $less($sum(X0,2/1),X0),
inference(superposition,[],[f78,f4]) ).
tff(f106,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f97]) ).
tff(f97,plain,
! [X0: $rat] : $less(X0,$sum(2/1,$sum(X0,1/1))),
inference(resolution,[],[f78,f13]) ).
tff(f78,plain,
! [X0: $rat] : ~ $less($sum(2/1,X0),X0),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),1/1),X0),
inference(resolution,[],[f62,f47]) ).
tff(f95,plain,
! [X0: $rat] : $less(X0,$sum(X0,2/1)),
inference(superposition,[],[f76,f4]) ).
tff(f91,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(2/1,X1)) ),
inference(resolution,[],[f76,f10]) ).
tff(f76,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f70]) ).
tff(f70,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),1/1)),
inference(resolution,[],[f62,f33]) ).
tff(f88,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f81]) ).
tff(f81,plain,
! [X0: $rat] : $less(X0,$sum(1/1,$sum(1/1,X0))),
inference(resolution,[],[f73,f33]) ).
tff(f89,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f80]) ).
tff(f80,plain,
! [X0: $rat] : $less(X0,$sum(1/1,$sum(X0,1/1))),
inference(resolution,[],[f73,f13]) ).
tff(f90,plain,
! [X0: $rat] : ~ $less($sum(2/1,X0),X0),
inference(evaluation,[],[f79]) ).
tff(f79,plain,
! [X0: $rat] : ~ $less($sum(1/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f73,f47]) ).
tff(f73,plain,
! [X0: $rat] : ~ $less($sum(1/1,X0),X0),
inference(superposition,[],[f62,f4]) ).
tff(f74,plain,
! [X0: $rat] : ~ $less($sum(1/1,X0),X0),
inference(superposition,[],[f62,f4]) ).
tff(f77,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f69]) ).
tff(f69,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),1/1)),
inference(resolution,[],[f62,f13]) ).
tff(f62,plain,
! [X0: $rat] : ~ $less($sum(X0,1/1),X0),
inference(resolution,[],[f47,f9]) ).
tff(f67,plain,
! [X0: $rat] :
( $less(X0,0/1)
| ~ $less(X0,-1/1) ),
inference(evaluation,[],[f66]) ).
tff(f66,plain,
! [X0: $rat] :
( $less(X0,0/1)
| ~ $less(X0,$uminus(1/1)) ),
inference(superposition,[],[f47,f20]) ).
tff(f65,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f47,f4]) ).
tff(f64,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f47,f4]) ).
tff(f63,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1/1)) ),
inference(resolution,[],[f47,f10]) ).
tff(f47,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,$sum(X1,1/1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f32]) ).
tff(f61,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,1/1)
| ~ $less(X1,0/1)
| $less(X1,X0) ),
inference(resolution,[],[f53,f10]) ).
tff(f59,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,X0)
| ~ $less(X1,X0)
| $less(X1,1/1) ),
inference(resolution,[],[f53,f10]) ).
tff(f53,plain,
! [X0: $rat] :
( $less(X0,1/1)
| $less(0/1,X0) ),
inference(superposition,[],[f33,f6]) ).
tff(f52,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ~ $less(X2,X1)
| $less(X2,$sum(1/1,X0)) ),
inference(resolution,[],[f33,f10]) ).
tff(f33,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f50,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,-1/1)
| $less(X0,X1)
| $less(X1,0/1) ),
inference(resolution,[],[f10,f36]) ).
tff(f49,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,0/1)
| $less(-1/1,X1) ),
inference(resolution,[],[f10,f36]) ).
tff(f48,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(1/1,X1)) ),
inference(resolution,[],[f10,f37]) ).
tff(f46,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1/1))
| $less(X2,X1) ),
inference(resolution,[],[f10,f13]) ).
tff(f10,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f36,plain,
! [X0: $rat] :
( $less(X0,0/1)
| $less(-1/1,X0) ),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
! [X0: $rat] :
( $less(X0,0/1)
| $less($uminus(1/1),X0) ),
inference(superposition,[],[f13,f20]) ).
tff(f37,plain,
! [X0: $rat] : $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f32,f4]) ).
tff(f38,plain,
! [X0: $rat] : $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f32,f4]) ).
tff(f32,plain,
! [X0: $rat] : $less(X0,$sum(X0,1/1)),
inference(resolution,[],[f13,f9]) ).
tff(f34,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f13,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f20,plain,
! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f14,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f6,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
15/8 = $sum(5/2,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 5/8 != sK0 )
& ( 15/8 = $sum(5/2,$uminus(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( 5/8 != X0 )
& ( 15/8 = $sum(5/2,$uminus(X0)) ) )
=> ( ( 5/8 != sK0 )
& ( 15/8 = $sum(5/2,$uminus(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( 15/8 = $sum(5/2,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( 15/8 = $sum(5/2,$uminus(X0)) )
=> ( 5/8 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_8) ).
tff(f9,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f19,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ARI280_1 : TPTP v8.1.2. Released v5.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 06:05:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (25071)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (25074)WARNING: value z3 for option sas not known
% 0.11/0.34 % (25075)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (25077)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)
% 0.11/0.34 % (25072)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (25073)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (25076)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)
% 0.11/0.34 % (25074)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)
% 0.11/0.34 % (25078)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)
% 0.11/0.34 % (25072)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (25075)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (25073)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (25075)Terminated due to inappropriate strategy.
% 0.11/0.34 % (25075)------------------------------
% 0.11/0.34 % (25075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (25073)Terminated due to inappropriate strategy.
% 0.11/0.34 % (25073)------------------------------
% 0.11/0.34 % (25073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (25073)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (25073)Memory used [KB]: 723
% 0.11/0.34 % (25073)Time elapsed: 0.002 s
% 0.11/0.34 % (25073)Instructions burned: 2 (million)
% 0.11/0.34 % (25072)Terminated due to inappropriate strategy.
% 0.11/0.34 % (25072)------------------------------
% 0.11/0.34 % (25072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (25073)------------------------------
% 0.11/0.34 % (25073)------------------------------
% 0.11/0.34 % (25072)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (25072)Memory used [KB]: 723
% 0.11/0.34 % (25072)Time elapsed: 0.002 s
% 0.11/0.34 % (25072)Instructions burned: 2 (million)
% 0.11/0.34 % (25072)------------------------------
% 0.11/0.34 % (25072)------------------------------
% 0.11/0.34 % (25075)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (25075)Memory used [KB]: 723
% 0.11/0.34 % (25075)Time elapsed: 0.003 s
% 0.11/0.34 % (25075)Instructions burned: 2 (million)
% 0.11/0.34 % (25075)------------------------------
% 0.11/0.34 % (25075)------------------------------
% 0.11/0.35 % (25079)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.11/0.35 % (25080)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)
% 0.11/0.35 % (25081)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)
% 0.11/0.35 % (25079)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.35 % (25079)Terminated due to inappropriate strategy.
% 0.11/0.35 % (25079)------------------------------
% 0.11/0.35 % (25079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (25079)Termination reason: Inappropriate
% 0.11/0.35
% 0.11/0.35 % (25079)Memory used [KB]: 723
% 0.11/0.35 % (25079)Time elapsed: 0.002 s
% 0.11/0.35 % (25079)Instructions burned: 2 (million)
% 0.11/0.35 % (25079)------------------------------
% 0.11/0.35 % (25079)------------------------------
% 0.17/0.37 % (25082)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)
% 0.17/0.37 % (25074)First to succeed.
% 0.17/0.39 % (25074)Refutation found. Thanks to Tanya!
% 0.17/0.39 % SZS status Theorem for theBenchmark
% 0.17/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.39 % (25074)------------------------------
% 0.17/0.39 % (25074)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (25074)Termination reason: Refutation
% 0.17/0.39
% 0.17/0.39 % (25074)Memory used [KB]: 1379
% 0.17/0.39 % (25074)Time elapsed: 0.049 s
% 0.17/0.39 % (25074)Instructions burned: 89 (million)
% 0.17/0.39 % (25074)------------------------------
% 0.17/0.39 % (25074)------------------------------
% 0.17/0.39 % (25071)Success in time 0.064 s
%------------------------------------------------------------------------------