TSTP Solution File: ARI259_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI259_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:49:51 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 804 ( 557 unt; 1 typ; 0 def)
% Number of atoms : 1072 ( 187 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 688 ( 419 ~; 262 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 4890 ( 884 atm;1831 fun;1035 num;1140 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 : 33 ( 1 usr; 31 con; 0-2 aty)
% Number of variables : 1140 (1138 !; 2 ?;1140 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(f1586,plain,
$false,
inference(global_subsumption,[],[f18,f8,f17,f5,f13,f7,f19,f3,f12,f33,f31,f37,f36,f35,f9,f45,f47,f48,f49,f32,f51,f52,f58,f60,f46,f62,f63,f64,f66,f61,f76,f73,f72,f89,f88,f87,f75,f90,f94,f77,f105,f103,f10,f108,f113,f93,f118,f102,f134,f133,f132,f104,f135,f139,f106,f153,f150,f6,f159,f162,f163,f138,f170,f149,f186,f185,f184,f151,f187,f191,f152,f205,f202,f11,f210,f215,f216,f217,f222,f223,f224,f190,f227,f201,f244,f243,f242,f203,f245,f249,f204,f263,f260,f248,f264,f4,f270,f271,f297,f275,f278,f279,f280,f281,f282,f283,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f259,f315,f314,f313,f311,f261,f316,f320,f262,f334,f331,f319,f335,f338,f211,f340,f341,f342,f344,f346,f347,f348,f330,f363,f362,f361,f359,f332,f364,f368,f333,f382,f379,f367,f383,f386,f218,f388,f389,f390,f392,f378,f408,f407,f406,f404,f380,f409,f413,f381,f427,f424,f412,f428,f431,f423,f447,f446,f445,f443,f272,f450,f451,f453,f454,f455,f459,f460,f461,f425,f462,f466,f426,f480,f477,f465,f481,f484,f476,f500,f499,f498,f496,f298,f501,f503,f504,f505,f509,f511,f512,f513,f551,f517,f550,f554,f556,f555,f561,f564,f548,f566,f568,f549,f580,f552,f592,f546,f597,f599,f547,f611,f567,f616,f619,f579,f629,f213,f631,f632,f634,f635,f636,f638,f591,f650,f544,f652,f654,f545,f666,f598,f671,f674,f610,f684,f542,f686,f688,f543,f700,f220,f705,f706,f708,f709,f710,f712,f715,f718,f717,f154,f767,f750,f751,f752,f768,f770,f758,f760,f761,f762,f771,f765,f773,f775,f776,f777,f778,f779,f772,f782,f783,f784,f653,f787,f791,f665,f802,f155,f827,f829,f809,f810,f826,f831,f832,f818,f820,f833,f822,f823,f834,f540,f835,f838,f541,f851,f687,f856,f860,f699,f871,f538,f873,f876,f539,f889,f158,f894,f922,f925,f897,f898,f899,f900,f905,f908,f911,f912,f913,f914,f915,f837,f932,f936,f850,f947,f536,f949,f952,f537,f965,f875,f970,f974,f888,f985,f478,f987,f990,f988,f995,f479,f1012,f1005,f534,f1013,f1016,f535,f1029,f951,f1034,f1038,f964,f1049,f989,f1051,f1054,f994,f1056,f1060,f1058,f1067,f1070,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1069,f1080,f1102,f1103,f1081,f1104,f1105,f1082,f1106,f1107,f1083,f1108,f1109,f1084,f1110,f1111,f1085,f1112,f1113,f1086,f1114,f1115,f1087,f1116,f1117,f1088,f1118,f1119,f1089,f1120,f1121,f214,f1122,f1141,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1152,f1153,f1154,f1155,f1156,f1157,f1171,f1160,f1161,f1172,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1004,f1210,f1209,f1208,f1206,f1009,f1220,f1010,f1225,f1227,f1011,f1249,f1241,f1242,f1240,f1250,f1251,f1015,f1252,f1257,f1028,f1269,f1059,f1271,f1276,f221,f1300,f1302,f1303,f1304,f1332,f1307,f1308,f1333,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1327,f1328,f1329,f1330,f1219,f1343,f1226,f1346,f1349,f1231,f1351,f1355,f1232,f1377,f1376,f1375,f1373,f1246,f1383,f1386,f1387,f1247,f1392,f1393,f1394,f1398,f1248,f1399,f1416,f1415,f1414,f1408,f1409,f1413,f1407,f1417,f1418,f1354,f1419,f1424,f277,f1427,f1428,f1524,f1525,f1435,f1517,f1516,f1514,f1442,f1444,f1445,f1527,f1530,f1532,f1452,f1453,f1454,f1533,f1456,f1534,f1536,f1460,f1461,f1462,f1463,f1464,f1538,f1510,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1520,f1551,f1543,f1544,f1545,f1546,f1547,f1548,f1515,f1566,f1558,f1559,f1560,f1561,f1562,f1563,f1519,f1581,f1579,f1571,f1572,f1573,f1574,f1575,f1576,f1580,f1585]) ).
tff(f1585,plain,
$less(23/4,sK0),
inference(subsumption_resolution,[],[f1583,f18]) ).
tff(f1583,plain,
( $less(23/4,sK0)
| ( 23/4 = sK0 ) ),
inference(resolution,[],[f1580,f10]) ).
tff(f1580,plain,
~ $less(sK0,23/4),
inference(evaluation,[],[f1569]) ).
tff(f1569,plain,
( $less(0/1,0/1)
| ~ $less(sK0,23/4) ),
inference(superposition,[],[f213,f1519]) ).
tff(f1576,plain,
! [X0: $rat] :
( $less(0/1,$sum($uminus(sK0),X0))
| ~ $less(23/4,X0) ),
inference(superposition,[],[f221,f1519]) ).
tff(f1575,plain,
! [X0: $rat] :
( $less($sum(X0,23/4),0/1)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f221,f1519]) ).
tff(f1574,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),0/1)
| ~ $less(X0,23/4) ),
inference(superposition,[],[f214,f1519]) ).
tff(f1573,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,23/4))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f214,f1519]) ).
tff(f1572,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,$uminus(sK0)))
| ~ $less(23/4,X0) ),
inference(superposition,[],[f11,f1519]) ).
tff(f1571,plain,
! [X0: $rat] :
( $less($sum(X0,$uminus(sK0)),0/1)
| ~ $less(X0,23/4) ),
inference(superposition,[],[f11,f1519]) ).
tff(f1579,plain,
! [X0: $rat] : ( $sum(23/4,$sum($uminus(sK0),X0)) = X0 ),
inference(evaluation,[],[f1570]) ).
tff(f1570,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(23/4,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f4,f1519]) ).
tff(f1581,plain,
~ $less(23/4,sK0),
inference(evaluation,[],[f1568]) ).
tff(f1568,plain,
( $less(0/1,0/1)
| ~ $less(23/4,sK0) ),
inference(superposition,[],[f220,f1519]) ).
tff(f1519,plain,
0/1 = $sum(23/4,$uminus(sK0)),
inference(evaluation,[],[f1436]) ).
tff(f1436,plain,
0/1 = $sum(10/1,$sum($uminus(sK0),$uminus(17/4))),
inference(superposition,[],[f277,f455]) ).
tff(f1563,plain,
! [X0: $rat] :
( $less(0/1,$sum(-23/4,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f221,f1515]) ).
tff(f1562,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),0/1)
| ~ $less(X0,-23/4) ),
inference(superposition,[],[f221,f1515]) ).
tff(f1561,plain,
! [X0: $rat] :
( $less($sum(-23/4,X0),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f214,f1515]) ).
tff(f1560,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,sK0))
| ~ $less(-23/4,X0) ),
inference(superposition,[],[f214,f1515]) ).
tff(f1559,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,-23/4))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f11,f1515]) ).
tff(f1558,plain,
! [X0: $rat] :
( $less($sum(X0,-23/4),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f11,f1515]) ).
tff(f1566,plain,
! [X0: $rat] : ( $sum(sK0,$sum(-23/4,X0)) = X0 ),
inference(evaluation,[],[f1557]) ).
tff(f1557,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(sK0,$sum(-23/4,X0)) ),
inference(superposition,[],[f4,f1515]) ).
tff(f1515,plain,
0/1 = $sum(sK0,-23/4),
inference(evaluation,[],[f1440]) ).
tff(f1440,plain,
0/1 = $sum(sK0,$sum(-10/1,$uminus(-17/4))),
inference(superposition,[],[f277,f765]) ).
tff(f1548,plain,
! [X0: $rat] :
( $less(0/1,$sum(sK0,X0))
| ~ $less(-23/4,X0) ),
inference(superposition,[],[f221,f1520]) ).
tff(f1547,plain,
! [X0: $rat] :
( $less($sum(X0,-23/4),0/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f221,f1520]) ).
tff(f1546,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),0/1)
| ~ $less(X0,-23/4) ),
inference(superposition,[],[f214,f1520]) ).
tff(f1545,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,-23/4))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f214,f1520]) ).
tff(f1544,plain,
! [X0: $rat] :
( $less(0/1,$sum(X0,sK0))
| ~ $less(-23/4,X0) ),
inference(superposition,[],[f11,f1520]) ).
tff(f1543,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),0/1)
| ~ $less(X0,-23/4) ),
inference(superposition,[],[f11,f1520]) ).
tff(f1551,plain,
! [X0: $rat] : ( $sum(-23/4,$sum(sK0,X0)) = X0 ),
inference(evaluation,[],[f1542]) ).
tff(f1542,plain,
! [X0: $rat] : ( $sum(0/1,X0) = $sum(-23/4,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f1520]) ).
tff(f1520,plain,
0/1 = $sum(-23/4,sK0),
inference(evaluation,[],[f1433]) ).
tff(f1433,plain,
0/1 = $sum(17/4,$sum(sK0,$uminus(10/1))),
inference(superposition,[],[f277,f17]) ).
tff(f1509,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(12/1,X0))),0/1),
inference(superposition,[],[f1247,f277]) ).
tff(f1508,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(12/1,X0)))),
inference(superposition,[],[f1248,f277]) ).
tff(f1507,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-11/1,X0)))),
inference(superposition,[],[f1231,f277]) ).
tff(f1506,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-11/1,X0))),0/1),
inference(superposition,[],[f1246,f277]) ).
tff(f1505,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(11/1,X0))),0/1),
inference(superposition,[],[f1010,f277]) ).
tff(f1504,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(11/1,X0)))),
inference(superposition,[],[f1011,f277]) ).
tff(f1503,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-10/1,X0)))),
inference(superposition,[],[f994,f277]) ).
tff(f1502,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-10/1,X0))),0/1),
inference(superposition,[],[f1009,f277]) ).
tff(f1501,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-9/1,X0)))),
inference(superposition,[],[f534,f277]) ).
tff(f1500,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-9/1,X0))),0/1),
inference(superposition,[],[f535,f277]) ).
tff(f1499,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(9/1,X0))),0/1),
inference(superposition,[],[f425,f277]) ).
tff(f1498,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(9/1,X0)))),
inference(superposition,[],[f426,f277]) ).
tff(f1497,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-8/1,X0)))),
inference(superposition,[],[f536,f277]) ).
tff(f1496,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-8/1,X0))),0/1),
inference(superposition,[],[f537,f277]) ).
tff(f1495,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(8/1,X0))),0/1),
inference(superposition,[],[f380,f277]) ).
tff(f1494,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(8/1,X0)))),
inference(superposition,[],[f381,f277]) ).
tff(f1493,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-7/1,X0)))),
inference(superposition,[],[f538,f277]) ).
tff(f1492,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-7/1,X0))),0/1),
inference(superposition,[],[f539,f277]) ).
tff(f1491,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(7/1,X0))),0/1),
inference(superposition,[],[f332,f277]) ).
tff(f1490,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(7/1,X0)))),
inference(superposition,[],[f333,f277]) ).
tff(f1489,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-6/1,X0)))),
inference(superposition,[],[f540,f277]) ).
tff(f1488,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-6/1,X0))),0/1),
inference(superposition,[],[f541,f277]) ).
tff(f1487,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(6/1,X0))),0/1),
inference(superposition,[],[f261,f277]) ).
tff(f1486,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(6/1,X0)))),
inference(superposition,[],[f262,f277]) ).
tff(f1485,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-5/1,X0)))),
inference(superposition,[],[f542,f277]) ).
tff(f1484,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-5/1,X0))),0/1),
inference(superposition,[],[f543,f277]) ).
tff(f1483,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(5/1,X0))),0/1),
inference(superposition,[],[f203,f277]) ).
tff(f1482,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(5/1,X0)))),
inference(superposition,[],[f204,f277]) ).
tff(f1481,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-4/1,X0)))),
inference(superposition,[],[f544,f277]) ).
tff(f1480,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-4/1,X0))),0/1),
inference(superposition,[],[f545,f277]) ).
tff(f1479,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(4/1,X0))),0/1),
inference(superposition,[],[f151,f277]) ).
tff(f1478,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(4/1,X0)))),
inference(superposition,[],[f152,f277]) ).
tff(f1477,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-3/1,X0)))),
inference(superposition,[],[f546,f277]) ).
tff(f1476,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-3/1,X0))),0/1),
inference(superposition,[],[f547,f277]) ).
tff(f1475,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(3/1,X0))),0/1),
inference(superposition,[],[f104,f277]) ).
tff(f1474,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(3/1,X0)))),
inference(superposition,[],[f106,f277]) ).
tff(f1473,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-2/1,X0)))),
inference(superposition,[],[f548,f277]) ).
tff(f1472,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-2/1,X0))),0/1),
inference(superposition,[],[f549,f277]) ).
tff(f1471,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(2/1,X0))),0/1),
inference(superposition,[],[f75,f277]) ).
tff(f1470,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(2/1,X0)))),
inference(superposition,[],[f77,f277]) ).
tff(f1469,plain,
! [X0: $rat] : $less(0/1,$sum(X0,$uminus($sum(-1/1,X0)))),
inference(superposition,[],[f550,f277]) ).
tff(f1468,plain,
! [X0: $rat] : ~ $less($sum(X0,$uminus($sum(-1/1,X0))),0/1),
inference(superposition,[],[f552,f277]) ).
tff(f1510,plain,
! [X0: $rat] : ( 17/4 = $sum(10/1,$sum(X0,$uminus($sum(sK0,X0)))) ),
inference(evaluation,[],[f1467]) ).
tff(f1467,plain,
! [X0: $rat] : ( $sum(17/4,0/1) = $sum(10/1,$sum(X0,$uminus($sum(sK0,X0)))) ),
inference(superposition,[],[f272,f277]) ).
tff(f1538,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X1),$sum($uminus(X0),X1)),X0) ),
inference(forward_demodulation,[],[f1537,f3]) ).
tff(f1537,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($sum($uminus(X0),X1),$uminus(X1)),X0) ),
inference(forward_demodulation,[],[f1512,f154]) ).
tff(f1512,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(evaluation,[],[f1465]) ).
tff(f1465,plain,
! [X0: $rat,X1: $rat] : ( $uminus(0/1) = $sum($uminus($sum(X1,$uminus($sum($uminus(X0),X1)))),X0) ),
inference(superposition,[],[f155,f277]) ).
tff(f1464,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(1/1,X0))),0/1),
inference(superposition,[],[f36,f277]) ).
tff(f1463,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,0/1)
| $less($sum(X0,$uminus($sum(1/1,X0))),X1) ),
inference(superposition,[],[f32,f277]) ).
tff(f1462,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(1/1,X0)))),
inference(superposition,[],[f72,f277]) ).
tff(f1461,plain,
! [X0: $rat] : $less($sum(X0,$uminus($sum(10/1,X0))),0/1),
inference(superposition,[],[f478,f277]) ).
tff(f1460,plain,
! [X0: $rat] : ~ $less(0/1,$sum(X0,$uminus($sum(10/1,X0)))),
inference(superposition,[],[f479,f277]) ).
tff(f1536,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1459,f4]) ).
tff(f1459,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f4,f277]) ).
tff(f1534,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,$sum($uminus($sum(X0,X1)),X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1457,f4]) ).
tff(f1457,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum($sum(X1,$uminus($sum(X0,X1))),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f221,f277]) ).
tff(f1456,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X0),0/1)
| ~ $less(X2,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f221,f277]) ).
tff(f1533,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,$sum($uminus($sum(X0,X1)),X2)),0/1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1455,f4]) ).
tff(f1455,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($sum(X1,$uminus($sum(X0,X1))),X2),0/1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f214,f277]) ).
tff(f1454,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,X0))
| ~ $less($sum(X1,$uminus($sum(X0,X1))),X2) ),
inference(superposition,[],[f214,f277]) ).
tff(f1453,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum(X1,$uminus($sum(X0,X1)))))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f277]) ).
tff(f1452,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum(X1,$uminus($sum(X0,X1)))),0/1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f277]) ).
tff(f1532,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(forward_demodulation,[],[f1513,f4]) ).
tff(f1513,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = X2 ),
inference(evaluation,[],[f1451]) ).
tff(f1451,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum($sum(X1,$uminus($sum(X0,X1))),X2)) = $sum(0/1,X2) ),
inference(superposition,[],[f4,f277]) ).
tff(f1530,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum(X0,$sum(X1,X2)))))) ),
inference(forward_demodulation,[],[f1449,f4]) ).
tff(f1449,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$sum(X2,$uminus($sum($sum(X0,X1),X2))))) ),
inference(superposition,[],[f277,f4]) ).
tff(f1527,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(forward_demodulation,[],[f1446,f3]) ).
tff(f1446,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum($sum(X1,$uminus(X0)),X0))) ),
inference(superposition,[],[f277,f6]) ).
tff(f1445,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X1,$uminus($sum(X0,$sum(X1,$uminus(X0))))) ),
inference(superposition,[],[f277,f158]) ).
tff(f1444,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum(X2,$sum(X0,$sum(X1,$uminus($sum(X2,$sum(X0,X1)))))) ),
inference(superposition,[],[f277,f4]) ).
tff(f1442,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($uminus(X1),$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f277,f154]) ).
tff(f1514,plain,
0/1 = $sum(-23/4,sK0),
inference(evaluation,[],[f1441]) ).
tff(f1441,plain,
0/1 = $sum(-10/1,$sum(sK0,$uminus(-17/4))),
inference(superposition,[],[f277,f772]) ).
tff(f1516,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$sum(X1,X0))) ),
inference(evaluation,[],[f1439]) ).
tff(f1439,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X1,X0))))) ),
inference(superposition,[],[f277,f6]) ).
tff(f1517,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$sum(X0,X1))) ),
inference(evaluation,[],[f1438]) ).
tff(f1438,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($uminus(X0),$sum($uminus(X1),$uminus($uminus($sum(X0,X1))))) ),
inference(superposition,[],[f277,f158]) ).
tff(f1435,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X0,X1),$sum(X2,$uminus($sum(X0,$sum(X1,X2))))) ),
inference(superposition,[],[f277,f4]) ).
tff(f1525,plain,
! [X0: $rat] : ( 0/1 = $sum(17/4,$sum(sK0,$sum(X0,$uminus($sum(10/1,X0))))) ),
inference(forward_demodulation,[],[f1434,f4]) ).
tff(f1434,plain,
! [X0: $rat] : ( 0/1 = $sum(17/4,$sum($sum(sK0,X0),$uminus($sum(10/1,X0)))) ),
inference(superposition,[],[f277,f272]) ).
tff(f1524,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($uminus(X1),$sum($uminus(X0),X1))) ),
inference(forward_demodulation,[],[f1429,f3]) ).
tff(f1429,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum($sum($uminus(X0),X1),$uminus(X1))) ),
inference(superposition,[],[f277,f298]) ).
tff(f1428,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f277,f3]) ).
tff(f1427,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X1,X0)))) ),
inference(superposition,[],[f277,f3]) ).
tff(f277,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f4,f7]) ).
tff(f1424,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-11/1)),$sum(X0,X1)),
inference(superposition,[],[f1354,f4]) ).
tff(f1419,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-11/1))
| $less(X0,X1) ),
inference(resolution,[],[f1354,f9]) ).
tff(f1354,plain,
! [X0: $rat] : $less($sum(X0,-11/1),X0),
inference(superposition,[],[f1231,f3]) ).
tff(f1418,plain,
( $less(-17/4,$sum(12/1,sK0))
| ( -17/4 = $sum(12/1,sK0) ) ),
inference(resolution,[],[f1407,f10]) ).
tff(f1417,plain,
( $less(-17/4,$sum(12/1,sK0))
| ( -17/4 = $sum(12/1,sK0) ) ),
inference(resolution,[],[f1407,f10]) ).
tff(f1407,plain,
~ $less($sum(12/1,sK0),-17/4),
inference(resolution,[],[f1248,f1067]) ).
tff(f1413,plain,
! [X0: $rat] : ~ $less(X0,$sum(-12/1,X0)),
inference(evaluation,[],[f1410]) ).
tff(f1410,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(12/1),X0)),
inference(superposition,[],[f1248,f298]) ).
tff(f1409,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(superposition,[],[f1248,f3]) ).
tff(f1408,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(superposition,[],[f1248,f3]) ).
tff(f1414,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1404]) ).
tff(f1404,plain,
! [X0: $rat] : $less(X0,$sum(12/1,$sum(X0,1/1))),
inference(resolution,[],[f1248,f12]) ).
tff(f1415,plain,
! [X0: $rat] : ~ $less($sum(13/1,X0),X0),
inference(evaluation,[],[f1403]) ).
tff(f1403,plain,
! [X0: $rat] : ~ $less($sum(12/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f1248,f46]) ).
tff(f1416,plain,
! [X0: $rat] : $less(X0,$sum(13/1,X0)),
inference(evaluation,[],[f1402]) ).
tff(f1402,plain,
! [X0: $rat] : $less(X0,$sum(12/1,$sum(1/1,X0))),
inference(resolution,[],[f1248,f32]) ).
tff(f1399,plain,
! [X0: $rat] : ~ $less($sum(X0,12/1),X0),
inference(resolution,[],[f1248,f214]) ).
tff(f1248,plain,
! [X0: $rat] : ~ $less($sum(12/1,X0),X0),
inference(evaluation,[],[f1236]) ).
tff(f1236,plain,
! [X0: $rat] : ~ $less($sum(11/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f1011,f46]) ).
tff(f1398,plain,
! [X0: $rat] : $less($sum(-12/1,X0),X0),
inference(evaluation,[],[f1395]) ).
tff(f1395,plain,
! [X0: $rat] : $less($sum($uminus(12/1),X0),X0),
inference(superposition,[],[f1247,f298]) ).
tff(f1394,plain,
! [X0: $rat] : $less(X0,$sum(X0,12/1)),
inference(superposition,[],[f1247,f3]) ).
tff(f1393,plain,
! [X0: $rat] : $less(X0,$sum(X0,12/1)),
inference(superposition,[],[f1247,f3]) ).
tff(f1392,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(12/1,X1)) ),
inference(resolution,[],[f1247,f9]) ).
tff(f1247,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1237]) ).
tff(f1237,plain,
! [X0: $rat] : $less(X0,$sum(11/1,$sum(X0,1/1))),
inference(resolution,[],[f1011,f12]) ).
tff(f1387,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-11/1)),
inference(superposition,[],[f1246,f3]) ).
tff(f1386,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-11/1)),
inference(superposition,[],[f1246,f3]) ).
tff(f1383,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-11/1)),
inference(resolution,[],[f1246,f221]) ).
tff(f1246,plain,
! [X0: $rat] : ~ $less(X0,$sum(-11/1,X0)),
inference(evaluation,[],[f1243]) ).
tff(f1243,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(11/1),X0)),
inference(superposition,[],[f1011,f298]) ).
tff(f1373,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,11/1)),$sum(X0,X1)),
inference(superposition,[],[f1232,f4]) ).
tff(f1375,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1367]) ).
tff(f1367,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),11/1)),
inference(resolution,[],[f1232,f12]) ).
tff(f1376,plain,
! [X0: $rat] : ~ $less($sum(12/1,X0),X0),
inference(evaluation,[],[f1366]) ).
tff(f1366,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),11/1),X0),
inference(resolution,[],[f1232,f46]) ).
tff(f1377,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1365]) ).
tff(f1365,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),11/1)),
inference(resolution,[],[f1232,f32]) ).
tff(f1232,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(resolution,[],[f1011,f214]) ).
tff(f1355,plain,
! [X0: $rat] : $less($sum(X0,-11/1),X0),
inference(superposition,[],[f1231,f3]) ).
tff(f1351,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-11/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f1231,f9]) ).
tff(f1231,plain,
! [X0: $rat] : $less($sum(-11/1,X0),X0),
inference(evaluation,[],[f1228]) ).
tff(f1228,plain,
! [X0: $rat] : $less($sum($uminus(11/1),X0),X0),
inference(superposition,[],[f1010,f298]) ).
tff(f1349,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,11/1))),
inference(superposition,[],[f1226,f4]) ).
tff(f1346,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,11/1)) ),
inference(resolution,[],[f1226,f9]) ).
tff(f1226,plain,
! [X0: $rat] : $less(X0,$sum(X0,11/1)),
inference(superposition,[],[f1010,f3]) ).
tff(f1343,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-10/1))),
inference(superposition,[],[f1219,f4]) ).
tff(f1219,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-10/1)),
inference(superposition,[],[f1009,f3]) ).
tff(f1330,plain,
! [X0: $rat] :
( $less($sum(X0,-10/1),-17/4)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f221,f772]) ).
tff(f1329,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),-17/4)
| ~ $less(X0,-10/1) ),
inference(superposition,[],[f221,f765]) ).
tff(f1328,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f221,f6]) ).
tff(f1327,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X0)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X1)) ),
inference(superposition,[],[f221,f158]) ).
tff(f1325,plain,
! [X0: $rat] :
( $less($sum(X0,10/1),17/4)
| ~ $less(X0,$uminus(sK0)) ),
inference(superposition,[],[f221,f455]) ).
tff(f1324,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,[],[f221,f4]) ).
tff(f1323,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,17/4),$sum(10/1,X0))
| ~ $less(X1,$sum(sK0,X0)) ),
inference(superposition,[],[f221,f272]) ).
tff(f1322,plain,
! [X0: $rat] :
( $less($sum(X0,17/4),10/1)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f221,f17]) ).
tff(f1321,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f221,f7]) ).
tff(f1320,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),X0)
| ~ $less(X1,0/1) ),
inference(superposition,[],[f221,f5]) ).
tff(f1319,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X0),X1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f221,f298]) ).
tff(f1316,plain,
! [X0: $rat] :
( $less(-17/4,$sum(sK0,X0))
| ~ $less(-10/1,X0) ),
inference(superposition,[],[f221,f772]) ).
tff(f1315,plain,
! [X0: $rat] :
( $less(-17/4,$sum(-10/1,X0))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f221,f765]) ).
tff(f1314,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f221,f6]) ).
tff(f1313,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum($uminus(X1),X2))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f221,f158]) ).
tff(f1312,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X0,X1))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f221,f19]) ).
tff(f1311,plain,
! [X0: $rat] :
( $less(17/4,$sum($uminus(sK0),X0))
| ~ $less(10/1,X0) ),
inference(superposition,[],[f221,f455]) ).
tff(f1310,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,[],[f221,f4]) ).
tff(f1333,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(10/1,X0),$sum(sK0,$sum(X0,X1)))
| ~ $less(17/4,X1) ),
inference(forward_demodulation,[],[f1309,f4]) ).
tff(f1309,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(10/1,X0),$sum($sum(sK0,X0),X1))
| ~ $less(17/4,X1) ),
inference(superposition,[],[f221,f272]) ).
tff(f1308,plain,
! [X0: $rat] :
( $less(10/1,$sum(sK0,X0))
| ~ $less(17/4,X0) ),
inference(superposition,[],[f221,f17]) ).
tff(f1307,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X0),X1))
| ~ $less(X0,X1) ),
inference(superposition,[],[f221,f7]) ).
tff(f1332,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum($uminus(X0),$sum(X1,X2)))
| ~ $less(X0,X2) ),
inference(forward_demodulation,[],[f1305,f4]) ).
tff(f1305,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum($sum($uminus(X0),X1),X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f221,f298]) ).
tff(f1304,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f221,f3]) ).
tff(f1303,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X1,X2))
| ~ $less(X0,X2) ),
inference(superposition,[],[f221,f3]) ).
tff(f1302,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X3,X1)) ),
inference(resolution,[],[f221,f9]) ).
tff(f1300,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-10/1)),
inference(resolution,[],[f221,f1009]) ).
tff(f221,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f3]) ).
tff(f1276,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-10/1)),$sum(X0,X1)),
inference(superposition,[],[f1059,f4]) ).
tff(f1271,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-10/1))
| $less(X0,X1) ),
inference(resolution,[],[f1059,f9]) ).
tff(f1059,plain,
! [X0: $rat] : $less($sum(X0,-10/1),X0),
inference(superposition,[],[f994,f3]) ).
tff(f1269,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-9/1))),
inference(superposition,[],[f1028,f4]) ).
tff(f1028,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-9/1)),
inference(superposition,[],[f535,f3]) ).
tff(f1257,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-9/1)),$sum(X0,X1)),
inference(superposition,[],[f1015,f4]) ).
tff(f1252,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-9/1))
| $less(X0,X1) ),
inference(resolution,[],[f1015,f9]) ).
tff(f1015,plain,
! [X0: $rat] : $less($sum(X0,-9/1),X0),
inference(superposition,[],[f534,f3]) ).
tff(f1251,plain,
( $less(-17/4,$sum(11/1,sK0))
| ( -17/4 = $sum(11/1,sK0) ) ),
inference(resolution,[],[f1240,f10]) ).
tff(f1250,plain,
( $less(-17/4,$sum(11/1,sK0))
| ( -17/4 = $sum(11/1,sK0) ) ),
inference(resolution,[],[f1240,f10]) ).
tff(f1240,plain,
~ $less($sum(11/1,sK0),-17/4),
inference(resolution,[],[f1011,f1067]) ).
tff(f1242,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(superposition,[],[f1011,f3]) ).
tff(f1241,plain,
! [X0: $rat] : ~ $less($sum(X0,11/1),X0),
inference(superposition,[],[f1011,f3]) ).
tff(f1249,plain,
! [X0: $rat] : $less(X0,$sum(12/1,X0)),
inference(evaluation,[],[f1235]) ).
tff(f1235,plain,
! [X0: $rat] : $less(X0,$sum(11/1,$sum(1/1,X0))),
inference(resolution,[],[f1011,f32]) ).
tff(f1011,plain,
! [X0: $rat] : ~ $less($sum(11/1,X0),X0),
inference(evaluation,[],[f999]) ).
tff(f999,plain,
! [X0: $rat] : ~ $less($sum(10/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f479,f46]) ).
tff(f1227,plain,
! [X0: $rat] : $less(X0,$sum(X0,11/1)),
inference(superposition,[],[f1010,f3]) ).
tff(f1225,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(11/1,X1)) ),
inference(resolution,[],[f1010,f9]) ).
tff(f1010,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1000]) ).
tff(f1000,plain,
! [X0: $rat] : $less(X0,$sum(10/1,$sum(X0,1/1))),
inference(resolution,[],[f479,f12]) ).
tff(f1220,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-10/1)),
inference(superposition,[],[f1009,f3]) ).
tff(f1009,plain,
! [X0: $rat] : ~ $less(X0,$sum(-10/1,X0)),
inference(evaluation,[],[f1006]) ).
tff(f1006,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(10/1),X0)),
inference(superposition,[],[f479,f298]) ).
tff(f1206,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,10/1)),$sum(X0,X1)),
inference(superposition,[],[f1004,f4]) ).
tff(f1208,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1200]) ).
tff(f1200,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),10/1)),
inference(resolution,[],[f1004,f12]) ).
tff(f1209,plain,
! [X0: $rat] : ~ $less($sum(11/1,X0),X0),
inference(evaluation,[],[f1199]) ).
tff(f1199,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),10/1),X0),
inference(resolution,[],[f1004,f46]) ).
tff(f1210,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f1198]) ).
tff(f1198,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),10/1)),
inference(resolution,[],[f1004,f32]) ).
tff(f1004,plain,
! [X0: $rat] : ~ $less($sum(X0,10/1),X0),
inference(superposition,[],[f479,f3]) ).
tff(f1169,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),-17/4)
| ~ $less(X0,-10/1) ),
inference(superposition,[],[f214,f772]) ).
tff(f1168,plain,
! [X0: $rat] :
( $less($sum(-10/1,X0),-17/4)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f214,f765]) ).
tff(f1167,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X2),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f214,f6]) ).
tff(f1166,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X2),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f214,f158]) ).
tff(f1165,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X0,X1),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f214,f19]) ).
tff(f1164,plain,
! [X0: $rat] :
( $less($sum($uminus(sK0),X0),17/4)
| ~ $less(X0,10/1) ),
inference(superposition,[],[f214,f455]) ).
tff(f1163,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,[],[f214,f4]) ).
tff(f1172,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(sK0,$sum(X0,X1)),$sum(10/1,X0))
| ~ $less(X1,17/4) ),
inference(forward_demodulation,[],[f1162,f4]) ).
tff(f1162,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($sum(sK0,X0),X1),$sum(10/1,X0))
| ~ $less(X1,17/4) ),
inference(superposition,[],[f214,f272]) ).
tff(f1161,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),10/1)
| ~ $less(X0,17/4) ),
inference(superposition,[],[f214,f17]) ).
tff(f1160,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X0),X1),0/1)
| ~ $less(X1,X0) ),
inference(superposition,[],[f214,f7]) ).
tff(f1171,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($uminus(X0),$sum(X1,X2)),X1)
| ~ $less(X2,X0) ),
inference(forward_demodulation,[],[f1158,f4]) ).
tff(f1158,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum($sum($uminus(X0),X1),X2),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f214,f298]) ).
tff(f1157,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f214,f3]) ).
tff(f1156,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X2),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f214,f3]) ).
tff(f1155,plain,
! [X0: $rat] :
( $less(-17/4,$sum(X0,-10/1))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f214,f772]) ).
tff(f1154,plain,
! [X0: $rat] :
( $less(-17/4,$sum(X0,sK0))
| ~ $less(-10/1,X0) ),
inference(superposition,[],[f214,f765]) ).
tff(f1153,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f214,f6]) ).
tff(f1152,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X0)))
| ~ $less($uminus(X1),X2) ),
inference(superposition,[],[f214,f158]) ).
tff(f1150,plain,
! [X0: $rat] :
( $less(17/4,$sum(X0,10/1))
| ~ $less($uminus(sK0),X0) ),
inference(superposition,[],[f214,f455]) ).
tff(f1149,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,[],[f214,f4]) ).
tff(f1148,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(10/1,X0),$sum(X1,17/4))
| ~ $less($sum(sK0,X0),X1) ),
inference(superposition,[],[f214,f272]) ).
tff(f1147,plain,
! [X0: $rat] :
( $less(10/1,$sum(X0,17/4))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f214,f17]) ).
tff(f1146,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f214,f7]) ).
tff(f1145,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,$sum(X1,X0))
| ~ $less(0/1,X1) ),
inference(superposition,[],[f214,f5]) ).
tff(f1144,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum(X2,X0))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f214,f298]) ).
tff(f1141,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X3,X0))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f214,f9]) ).
tff(f1122,plain,
! [X0: $rat] : ~ $less($sum(X0,10/1),X0),
inference(resolution,[],[f214,f479]) ).
tff(f214,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f3]) ).
tff(f1121,plain,
( $less(-17/4,$sum(9/1,sK0))
| ( -17/4 = $sum(9/1,sK0) ) ),
inference(resolution,[],[f1089,f10]) ).
tff(f1120,plain,
( $less(-17/4,$sum(9/1,sK0))
| ( -17/4 = $sum(9/1,sK0) ) ),
inference(resolution,[],[f1089,f10]) ).
tff(f1089,plain,
~ $less($sum(9/1,sK0),-17/4),
inference(resolution,[],[f1067,f426]) ).
tff(f1119,plain,
( $less(-17/4,$sum(8/1,sK0))
| ( -17/4 = $sum(8/1,sK0) ) ),
inference(resolution,[],[f1088,f10]) ).
tff(f1118,plain,
( $less(-17/4,$sum(8/1,sK0))
| ( -17/4 = $sum(8/1,sK0) ) ),
inference(resolution,[],[f1088,f10]) ).
tff(f1088,plain,
~ $less($sum(8/1,sK0),-17/4),
inference(resolution,[],[f1067,f381]) ).
tff(f1117,plain,
( $less(-17/4,$sum(7/1,sK0))
| ( -17/4 = $sum(7/1,sK0) ) ),
inference(resolution,[],[f1087,f10]) ).
tff(f1116,plain,
( $less(-17/4,$sum(7/1,sK0))
| ( -17/4 = $sum(7/1,sK0) ) ),
inference(resolution,[],[f1087,f10]) ).
tff(f1087,plain,
~ $less($sum(7/1,sK0),-17/4),
inference(resolution,[],[f1067,f333]) ).
tff(f1115,plain,
( $less(-17/4,$sum(6/1,sK0))
| ( -17/4 = $sum(6/1,sK0) ) ),
inference(resolution,[],[f1086,f10]) ).
tff(f1114,plain,
( $less(-17/4,$sum(6/1,sK0))
| ( -17/4 = $sum(6/1,sK0) ) ),
inference(resolution,[],[f1086,f10]) ).
tff(f1086,plain,
~ $less($sum(6/1,sK0),-17/4),
inference(resolution,[],[f1067,f262]) ).
tff(f1113,plain,
( $less(-17/4,$sum(5/1,sK0))
| ( -17/4 = $sum(5/1,sK0) ) ),
inference(resolution,[],[f1085,f10]) ).
tff(f1112,plain,
( $less(-17/4,$sum(5/1,sK0))
| ( -17/4 = $sum(5/1,sK0) ) ),
inference(resolution,[],[f1085,f10]) ).
tff(f1085,plain,
~ $less($sum(5/1,sK0),-17/4),
inference(resolution,[],[f1067,f204]) ).
tff(f1111,plain,
( $less(-17/4,$sum(4/1,sK0))
| ( -17/4 = $sum(4/1,sK0) ) ),
inference(resolution,[],[f1084,f10]) ).
tff(f1110,plain,
( $less(-17/4,$sum(4/1,sK0))
| ( -17/4 = $sum(4/1,sK0) ) ),
inference(resolution,[],[f1084,f10]) ).
tff(f1084,plain,
~ $less($sum(4/1,sK0),-17/4),
inference(resolution,[],[f1067,f152]) ).
tff(f1109,plain,
( $less(-17/4,$sum(3/1,sK0))
| ( -17/4 = $sum(3/1,sK0) ) ),
inference(resolution,[],[f1083,f10]) ).
tff(f1108,plain,
( $less(-17/4,$sum(3/1,sK0))
| ( -17/4 = $sum(3/1,sK0) ) ),
inference(resolution,[],[f1083,f10]) ).
tff(f1083,plain,
~ $less($sum(3/1,sK0),-17/4),
inference(resolution,[],[f1067,f106]) ).
tff(f1107,plain,
( $less(-17/4,$sum(2/1,sK0))
| ( -17/4 = $sum(2/1,sK0) ) ),
inference(resolution,[],[f1082,f10]) ).
tff(f1106,plain,
( $less(-17/4,$sum(2/1,sK0))
| ( -17/4 = $sum(2/1,sK0) ) ),
inference(resolution,[],[f1082,f10]) ).
tff(f1082,plain,
~ $less($sum(2/1,sK0),-17/4),
inference(resolution,[],[f1067,f77]) ).
tff(f1105,plain,
( $less(-17/4,$sum(1/1,sK0))
| ( -17/4 = $sum(1/1,sK0) ) ),
inference(resolution,[],[f1081,f10]) ).
tff(f1104,plain,
( $less(-17/4,$sum(1/1,sK0))
| ( -17/4 = $sum(1/1,sK0) ) ),
inference(resolution,[],[f1081,f10]) ).
tff(f1081,plain,
~ $less($sum(1/1,sK0),-17/4),
inference(resolution,[],[f1067,f72]) ).
tff(f1103,plain,
( $less(-17/4,$sum(10/1,sK0))
| ( -17/4 = $sum(10/1,sK0) ) ),
inference(resolution,[],[f1080,f10]) ).
tff(f1102,plain,
( $less(-17/4,$sum(10/1,sK0))
| ( -17/4 = $sum(10/1,sK0) ) ),
inference(resolution,[],[f1080,f10]) ).
tff(f1080,plain,
~ $less($sum(10/1,sK0),-17/4),
inference(resolution,[],[f1067,f479]) ).
tff(f1069,plain,
~ $less(sK0,-17/4),
inference(resolution,[],[f1067,f8]) ).
tff(f1099,plain,
~ $less($sum(9/1,sK0),-17/4),
inference(forward_demodulation,[],[f1079,f3]) ).
tff(f1079,plain,
~ $less($sum(sK0,9/1),-17/4),
inference(resolution,[],[f1067,f476]) ).
tff(f1098,plain,
~ $less($sum(8/1,sK0),-17/4),
inference(forward_demodulation,[],[f1078,f3]) ).
tff(f1078,plain,
~ $less($sum(sK0,8/1),-17/4),
inference(resolution,[],[f1067,f423]) ).
tff(f1097,plain,
~ $less($sum(7/1,sK0),-17/4),
inference(forward_demodulation,[],[f1077,f3]) ).
tff(f1077,plain,
~ $less($sum(sK0,7/1),-17/4),
inference(resolution,[],[f1067,f378]) ).
tff(f1096,plain,
~ $less($sum(6/1,sK0),-17/4),
inference(forward_demodulation,[],[f1076,f3]) ).
tff(f1076,plain,
~ $less($sum(sK0,6/1),-17/4),
inference(resolution,[],[f1067,f330]) ).
tff(f1095,plain,
~ $less($sum(5/1,sK0),-17/4),
inference(forward_demodulation,[],[f1075,f3]) ).
tff(f1075,plain,
~ $less($sum(sK0,5/1),-17/4),
inference(resolution,[],[f1067,f259]) ).
tff(f1094,plain,
~ $less($sum(4/1,sK0),-17/4),
inference(forward_demodulation,[],[f1074,f3]) ).
tff(f1074,plain,
~ $less($sum(sK0,4/1),-17/4),
inference(resolution,[],[f1067,f201]) ).
tff(f1093,plain,
~ $less($sum(3/1,sK0),-17/4),
inference(forward_demodulation,[],[f1073,f3]) ).
tff(f1073,plain,
~ $less($sum(sK0,3/1),-17/4),
inference(resolution,[],[f1067,f149]) ).
tff(f1092,plain,
~ $less($sum(2/1,sK0),-17/4),
inference(forward_demodulation,[],[f1072,f3]) ).
tff(f1072,plain,
~ $less($sum(sK0,2/1),-17/4),
inference(resolution,[],[f1067,f102]) ).
tff(f1091,plain,
~ $less($sum(1/1,sK0),-17/4),
inference(forward_demodulation,[],[f1071,f3]) ).
tff(f1071,plain,
~ $less($sum(sK0,1/1),-17/4),
inference(resolution,[],[f1067,f61]) ).
tff(f1070,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,-17/4)
| ~ $less(X1,X0)
| $less(X1,sK0) ),
inference(resolution,[],[f1067,f9]) ).
tff(f1067,plain,
! [X0: $rat] :
( $less(X0,sK0)
| ~ $less(X0,-17/4) ),
inference(resolution,[],[f1058,f9]) ).
tff(f1058,plain,
$less(-17/4,sK0),
inference(superposition,[],[f994,f772]) ).
tff(f1060,plain,
! [X0: $rat] : $less($sum(X0,-10/1),X0),
inference(superposition,[],[f994,f3]) ).
tff(f1056,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-10/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f994,f9]) ).
tff(f994,plain,
! [X0: $rat] : $less($sum(-10/1,X0),X0),
inference(evaluation,[],[f991]) ).
tff(f991,plain,
! [X0: $rat] : $less($sum($uminus(10/1),X0),X0),
inference(superposition,[],[f478,f298]) ).
tff(f1054,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,10/1))),
inference(superposition,[],[f989,f4]) ).
tff(f1051,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,10/1)) ),
inference(resolution,[],[f989,f9]) ).
tff(f989,plain,
! [X0: $rat] : $less(X0,$sum(X0,10/1)),
inference(superposition,[],[f478,f3]) ).
tff(f1049,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-8/1))),
inference(superposition,[],[f964,f4]) ).
tff(f964,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-8/1)),
inference(superposition,[],[f537,f3]) ).
tff(f1038,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-8/1)),$sum(X0,X1)),
inference(superposition,[],[f951,f4]) ).
tff(f1034,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-8/1))
| $less(X0,X1) ),
inference(resolution,[],[f951,f9]) ).
tff(f951,plain,
! [X0: $rat] : $less($sum(X0,-8/1),X0),
inference(superposition,[],[f536,f3]) ).
tff(f1029,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-9/1)),
inference(superposition,[],[f535,f3]) ).
tff(f535,plain,
! [X0: $rat] : ~ $less(X0,$sum(-9/1,X0)),
inference(evaluation,[],[f532]) ).
tff(f532,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(9/1),X0)),
inference(superposition,[],[f426,f298]) ).
tff(f1016,plain,
! [X0: $rat] : $less($sum(X0,-9/1),X0),
inference(superposition,[],[f534,f3]) ).
tff(f1013,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-9/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f534,f9]) ).
tff(f534,plain,
! [X0: $rat] : $less($sum(-9/1,X0),X0),
inference(evaluation,[],[f533]) ).
tff(f533,plain,
! [X0: $rat] : $less($sum($uminus(9/1),X0),X0),
inference(superposition,[],[f425,f298]) ).
tff(f1005,plain,
! [X0: $rat] : ~ $less($sum(X0,10/1),X0),
inference(superposition,[],[f479,f3]) ).
tff(f1012,plain,
! [X0: $rat] : $less(X0,$sum(11/1,X0)),
inference(evaluation,[],[f998]) ).
tff(f998,plain,
! [X0: $rat] : $less(X0,$sum(10/1,$sum(1/1,X0))),
inference(resolution,[],[f479,f32]) ).
tff(f479,plain,
! [X0: $rat] : ~ $less($sum(10/1,X0),X0),
inference(evaluation,[],[f470]) ).
tff(f470,plain,
! [X0: $rat] : ~ $less($sum(9/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f426,f46]) ).
tff(f995,plain,
! [X0: $rat] :
( ~ $less(X0,$uminus(sK0))
| $less(X0,17/4) ),
inference(resolution,[],[f988,f9]) ).
tff(f988,plain,
$less($uminus(sK0),17/4),
inference(superposition,[],[f478,f455]) ).
tff(f990,plain,
! [X0: $rat] : $less(X0,$sum(X0,10/1)),
inference(superposition,[],[f478,f3]) ).
tff(f987,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(10/1,X1)) ),
inference(resolution,[],[f478,f9]) ).
tff(f478,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f471]) ).
tff(f471,plain,
! [X0: $rat] : $less(X0,$sum(9/1,$sum(X0,1/1))),
inference(resolution,[],[f426,f12]) ).
tff(f985,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-7/1))),
inference(superposition,[],[f888,f4]) ).
tff(f888,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-7/1)),
inference(superposition,[],[f539,f3]) ).
tff(f974,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-7/1)),$sum(X0,X1)),
inference(superposition,[],[f875,f4]) ).
tff(f970,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-7/1))
| $less(X0,X1) ),
inference(resolution,[],[f875,f9]) ).
tff(f875,plain,
! [X0: $rat] : $less($sum(X0,-7/1),X0),
inference(superposition,[],[f538,f3]) ).
tff(f965,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-8/1)),
inference(superposition,[],[f537,f3]) ).
tff(f537,plain,
! [X0: $rat] : ~ $less(X0,$sum(-8/1,X0)),
inference(evaluation,[],[f530]) ).
tff(f530,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(8/1),X0)),
inference(superposition,[],[f381,f298]) ).
tff(f952,plain,
! [X0: $rat] : $less($sum(X0,-8/1),X0),
inference(superposition,[],[f536,f3]) ).
tff(f949,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-8/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f536,f9]) ).
tff(f536,plain,
! [X0: $rat] : $less($sum(-8/1,X0),X0),
inference(evaluation,[],[f531]) ).
tff(f531,plain,
! [X0: $rat] : $less($sum($uminus(8/1),X0),X0),
inference(superposition,[],[f380,f298]) ).
tff(f947,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-6/1))),
inference(superposition,[],[f850,f4]) ).
tff(f850,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-6/1)),
inference(superposition,[],[f541,f3]) ).
tff(f936,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-6/1)),$sum(X0,X1)),
inference(superposition,[],[f837,f4]) ).
tff(f932,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-6/1))
| $less(X0,X1) ),
inference(resolution,[],[f837,f9]) ).
tff(f837,plain,
! [X0: $rat] : $less($sum(X0,-6/1),X0),
inference(superposition,[],[f540,f3]) ).
tff(f915,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f11,f158]) ).
tff(f914,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X0,X1)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f11,f158]) ).
tff(f913,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X0,X1)),X2) ),
inference(superposition,[],[f4,f158]) ).
tff(f912,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$uminus($sum(X0,X1)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f213,f158]) ).
tff(f911,plain,
! [X0: $rat,X1: $rat] :
( $less($uminus($sum(X0,X1)),0/1)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f220,f158]) ).
tff(f908,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum(X0,$uminus($sum(X0,X1))) ),
inference(superposition,[],[f298,f158]) ).
tff(f905,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f158]) ).
tff(f900,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f158,f6]) ).
tff(f899,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum(X2,$sum($uminus(X0),X1))) ),
inference(superposition,[],[f158,f155]) ).
tff(f898,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X2,$sum(X0,$uminus(X1)))) ),
inference(superposition,[],[f158,f154]) ).
tff(f897,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f158,f13]) ).
tff(f925,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus($sum(X1,X2)),X0) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f924,f155]) ).
tff(f924,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($uminus(X0),$sum(X1,X2))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f923,f4]) ).
tff(f923,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f896,f4]) ).
tff(f896,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f158,f155]) ).
tff(f922,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X0,$sum($uminus(X1),X2))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f921,f4]) ).
tff(f921,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f920,f6]) ).
tff(f920,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f895,f4]) ).
tff(f895,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f158,f154]) ).
tff(f894,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$uminus(X1)) = $uminus($sum($uminus(X0),X1)) ),
inference(superposition,[],[f158,f13]) ).
tff(f158,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f3]) ).
tff(f889,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-7/1)),
inference(superposition,[],[f539,f3]) ).
tff(f539,plain,
! [X0: $rat] : ~ $less(X0,$sum(-7/1,X0)),
inference(evaluation,[],[f528]) ).
tff(f528,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(7/1),X0)),
inference(superposition,[],[f333,f298]) ).
tff(f876,plain,
! [X0: $rat] : $less($sum(X0,-7/1),X0),
inference(superposition,[],[f538,f3]) ).
tff(f873,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-7/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f538,f9]) ).
tff(f538,plain,
! [X0: $rat] : $less($sum(-7/1,X0),X0),
inference(evaluation,[],[f529]) ).
tff(f529,plain,
! [X0: $rat] : $less($sum($uminus(7/1),X0),X0),
inference(superposition,[],[f332,f298]) ).
tff(f871,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-5/1))),
inference(superposition,[],[f699,f4]) ).
tff(f699,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-5/1)),
inference(superposition,[],[f543,f3]) ).
tff(f860,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-5/1)),$sum(X0,X1)),
inference(superposition,[],[f687,f4]) ).
tff(f856,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-5/1))
| $less(X0,X1) ),
inference(resolution,[],[f687,f9]) ).
tff(f687,plain,
! [X0: $rat] : $less($sum(X0,-5/1),X0),
inference(superposition,[],[f542,f3]) ).
tff(f851,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-6/1)),
inference(superposition,[],[f541,f3]) ).
tff(f541,plain,
! [X0: $rat] : ~ $less(X0,$sum(-6/1,X0)),
inference(evaluation,[],[f526]) ).
tff(f526,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(6/1),X0)),
inference(superposition,[],[f262,f298]) ).
tff(f838,plain,
! [X0: $rat] : $less($sum(X0,-6/1),X0),
inference(superposition,[],[f540,f3]) ).
tff(f835,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-6/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f540,f9]) ).
tff(f540,plain,
! [X0: $rat] : $less($sum(-6/1,X0),X0),
inference(evaluation,[],[f527]) ).
tff(f527,plain,
! [X0: $rat] : $less($sum($uminus(6/1),X0),X0),
inference(superposition,[],[f261,f298]) ).
tff(f834,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum($uminus(X0),X1),$sum($uminus(X1),$sum(X0,X2))) = X2 ),
inference(forward_demodulation,[],[f824,f4]) ).
tff(f824,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum($uminus(X0),X1),$sum($sum($uminus(X1),X0),X2)) = X2 ),
inference(superposition,[],[f298,f155]) ).
tff(f823,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum($uminus(X1),X0)),0/1)
| ~ $less(X2,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f220,f155]) ).
tff(f822,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum($uminus(X1),X0)))
| ~ $less($sum($uminus(X0),X1),X2) ),
inference(superposition,[],[f213,f155]) ).
tff(f833,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X1,$uminus(X2))) = $uminus($sum(X2,$sum($uminus(X1),X0))) ),
inference(forward_demodulation,[],[f821,f4]) ).
tff(f821,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X1),X0))) = $sum($sum($uminus(X0),X1),$uminus(X2)) ),
inference(superposition,[],[f154,f155]) ).
tff(f820,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X1),X0),$sum($uminus(X0),X1)) ),
inference(superposition,[],[f19,f155]) ).
tff(f818,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum($uminus(X0),X1),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f7,f155]) ).
tff(f832,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($uminus(X1),$sum(X0,$uminus(X2))) ),
inference(forward_demodulation,[],[f817,f4]) ).
tff(f817,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum($uminus(X0),X1))) = $sum($sum($uminus(X1),X0),$uminus(X2)) ),
inference(superposition,[],[f6,f155]) ).
tff(f831,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $sum($uminus($sum(X1,X2)),X0) ),
inference(forward_demodulation,[],[f830,f155]) ).
tff(f830,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X1),X0)) = $uminus($sum($uminus(X0),$sum(X1,X2))) ),
inference(forward_demodulation,[],[f816,f4]) ).
tff(f816,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum($uminus(X0),X1),X2)) = $sum($uminus(X2),$sum($uminus(X1),X0)) ),
inference(superposition,[],[f6,f155]) ).
tff(f826,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum($uminus($sum(X0,X1)),X0) ),
inference(evaluation,[],[f811]) ).
tff(f811,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0) ),
inference(superposition,[],[f155,f298]) ).
tff(f810,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f155,f3]) ).
tff(f809,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f155,f3]) ).
tff(f829,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $sum($uminus($sum(X0,X2)),X1) ),
inference(forward_demodulation,[],[f828,f155]) ).
tff(f828,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($uminus(X1),$sum(X0,X2))) ),
inference(forward_demodulation,[],[f806,f4]) ).
tff(f806,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum($uminus(X0),X1)) = $uminus($sum($sum($uminus(X1),X0),X2)) ),
inference(superposition,[],[f155,f155]) ).
tff(f827,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum(X1,$sum($uminus(X0),X2))) ),
inference(forward_demodulation,[],[f805,f4]) ).
tff(f805,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X0,$uminus(X1))) = $uminus($sum($sum(X1,$uminus(X0)),X2)) ),
inference(superposition,[],[f155,f154]) ).
tff(f155,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f6,f13]) ).
tff(f802,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-4/1))),
inference(superposition,[],[f665,f4]) ).
tff(f665,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-4/1)),
inference(superposition,[],[f545,f3]) ).
tff(f791,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-4/1)),$sum(X0,X1)),
inference(superposition,[],[f653,f4]) ).
tff(f787,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-4/1))
| $less(X0,X1) ),
inference(resolution,[],[f653,f9]) ).
tff(f653,plain,
! [X0: $rat] : $less($sum(X0,-4/1),X0),
inference(superposition,[],[f544,f3]) ).
tff(f784,plain,
! [X0: $rat] :
( $less(-17/4,$sum(X0,sK0))
| ~ $less(-10/1,X0) ),
inference(superposition,[],[f11,f772]) ).
tff(f783,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),-17/4)
| ~ $less(X0,-10/1) ),
inference(superposition,[],[f11,f772]) ).
tff(f782,plain,
! [X0: $rat] : ( $sum(-17/4,X0) = $sum(-10/1,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f772]) ).
tff(f772,plain,
-17/4 = $sum(-10/1,sK0),
inference(superposition,[],[f765,f3]) ).
tff(f779,plain,
-17/4 = $sum(-10/1,sK0),
inference(superposition,[],[f3,f765]) ).
tff(f778,plain,
-17/4 = $sum(-10/1,sK0),
inference(superposition,[],[f3,f765]) ).
tff(f777,plain,
! [X0: $rat] :
( $less(-17/4,$sum(X0,-10/1))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f11,f765]) ).
tff(f776,plain,
! [X0: $rat] :
( $less($sum(X0,-10/1),-17/4)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f11,f765]) ).
tff(f775,plain,
! [X0: $rat] : ( $sum(sK0,$sum(-10/1,X0)) = $sum(-17/4,X0) ),
inference(superposition,[],[f4,f765]) ).
tff(f773,plain,
-17/4 = $sum(-10/1,sK0),
inference(superposition,[],[f765,f3]) ).
tff(f765,plain,
$sum(sK0,-10/1) = -17/4,
inference(evaluation,[],[f753]) ).
tff(f753,plain,
$sum(sK0,$uminus(10/1)) = $uminus(17/4),
inference(superposition,[],[f154,f455]) ).
tff(f771,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$sum(X1,$sum($uminus(X0),X2))) = X2 ),
inference(forward_demodulation,[],[f763,f4]) ).
tff(f763,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$sum($sum(X1,$uminus(X0)),X2)) = X2 ),
inference(superposition,[],[f298,f154]) ).
tff(f762,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum(X1,$uminus(X0))),0/1)
| ~ $less(X2,$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f220,f154]) ).
tff(f761,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X2,$sum(X1,$uminus(X0))))
| ~ $less($sum(X0,$uminus(X1)),X2) ),
inference(superposition,[],[f213,f154]) ).
tff(f760,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X1,$uminus(X0)),$sum(X0,$uminus(X1))) ),
inference(superposition,[],[f19,f154]) ).
tff(f758,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum($sum(X0,$uminus(X1)),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f7,f154]) ).
tff(f770,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$uminus($sum(X2,X0))) ),
inference(forward_demodulation,[],[f769,f6]) ).
tff(f769,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum(X1,$sum($uminus(X0),$uminus(X2))) ),
inference(forward_demodulation,[],[f757,f4]) ).
tff(f757,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X0,$uminus(X1)))) = $sum($sum(X1,$uminus(X0)),$uminus(X2)) ),
inference(superposition,[],[f6,f154]) ).
tff(f768,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X2),$sum(X1,$uminus(X0))) = $uminus($sum(X0,$sum($uminus(X1),X2))) ),
inference(forward_demodulation,[],[f756,f4]) ).
tff(f756,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum($sum(X0,$uminus(X1)),X2)) = $sum($uminus(X2),$sum(X1,$uminus(X0))) ),
inference(superposition,[],[f6,f154]) ).
tff(f752,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X2,$uminus($sum(X0,X1))) = $uminus($sum(X0,$sum(X1,$uminus(X2)))) ),
inference(superposition,[],[f154,f4]) ).
tff(f751,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f154,f3]) ).
tff(f750,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,$uminus(X0)) = $uminus($sum($uminus(X1),X0)) ),
inference(superposition,[],[f154,f3]) ).
tff(f767,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$uminus($sum(X2,X1))) ),
inference(forward_demodulation,[],[f766,f6]) ).
tff(f766,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $uminus($sum(X2,$sum(X1,$uminus(X0)))) = $sum(X0,$sum($uminus(X1),$uminus(X2))) ),
inference(forward_demodulation,[],[f748,f4]) ).
tff(f748,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,$uminus(X1)),$uminus(X2)) = $uminus($sum(X2,$sum(X1,$uminus(X0)))) ),
inference(superposition,[],[f154,f154]) ).
tff(f154,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f6,f13]) ).
tff(f717,plain,
( $less(sK0,10/1)
| ( 10/1 = sK0 ) ),
inference(resolution,[],[f715,f10]) ).
tff(f718,plain,
( $less(sK0,10/1)
| ( 10/1 = sK0 ) ),
inference(resolution,[],[f715,f10]) ).
tff(f715,plain,
~ $less(10/1,sK0),
inference(evaluation,[],[f711]) ).
tff(f711,plain,
( $less(17/4,0/1)
| ~ $less(10/1,sK0) ),
inference(superposition,[],[f220,f455]) ).
tff(f712,plain,
! [X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),0/1)
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f220,f6]) ).
tff(f710,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,$uminus(X2))),0/1)
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f220,f4]) ).
tff(f709,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X0),0/1)
| ~ $less(X0,X1) ),
inference(superposition,[],[f220,f3]) ).
tff(f708,plain,
! [X0: $rat,X1: $rat] :
( $less($sum($uminus(X1),X0),0/1)
| ~ $less(X0,X1) ),
inference(superposition,[],[f220,f3]) ).
tff(f706,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f220,f13]) ).
tff(f705,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,$uminus(X1)))
| $less(X2,0/1) ),
inference(resolution,[],[f220,f9]) ).
tff(f220,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,$uminus(X0)),0/1)
| ~ $less(X1,X0) ),
inference(superposition,[],[f11,f7]) ).
tff(f700,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-5/1)),
inference(superposition,[],[f543,f3]) ).
tff(f543,plain,
! [X0: $rat] : ~ $less(X0,$sum(-5/1,X0)),
inference(evaluation,[],[f524]) ).
tff(f524,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(5/1),X0)),
inference(superposition,[],[f204,f298]) ).
tff(f688,plain,
! [X0: $rat] : $less($sum(X0,-5/1),X0),
inference(superposition,[],[f542,f3]) ).
tff(f686,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-5/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f542,f9]) ).
tff(f542,plain,
! [X0: $rat] : $less($sum(-5/1,X0),X0),
inference(evaluation,[],[f525]) ).
tff(f525,plain,
! [X0: $rat] : $less($sum($uminus(5/1),X0),X0),
inference(superposition,[],[f203,f298]) ).
tff(f684,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-3/1))),
inference(superposition,[],[f610,f4]) ).
tff(f610,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-3/1)),
inference(superposition,[],[f547,f3]) ).
tff(f674,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-3/1)),$sum(X0,X1)),
inference(superposition,[],[f598,f4]) ).
tff(f671,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-3/1))
| $less(X0,X1) ),
inference(resolution,[],[f598,f9]) ).
tff(f598,plain,
! [X0: $rat] : $less($sum(X0,-3/1),X0),
inference(superposition,[],[f546,f3]) ).
tff(f666,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-4/1)),
inference(superposition,[],[f545,f3]) ).
tff(f545,plain,
! [X0: $rat] : ~ $less(X0,$sum(-4/1,X0)),
inference(evaluation,[],[f522]) ).
tff(f522,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(4/1),X0)),
inference(superposition,[],[f152,f298]) ).
tff(f654,plain,
! [X0: $rat] : $less($sum(X0,-4/1),X0),
inference(superposition,[],[f544,f3]) ).
tff(f652,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-4/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f544,f9]) ).
tff(f544,plain,
! [X0: $rat] : $less($sum(-4/1,X0),X0),
inference(evaluation,[],[f523]) ).
tff(f523,plain,
! [X0: $rat] : $less($sum($uminus(4/1),X0),X0),
inference(superposition,[],[f151,f298]) ).
tff(f650,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-1/1))),
inference(superposition,[],[f591,f4]) ).
tff(f591,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-1/1)),
inference(superposition,[],[f552,f3]) ).
tff(f638,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$uminus($sum(X1,X0)))
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f213,f6]) ).
tff(f636,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(0/1,$sum(X0,$sum(X1,$uminus(X2))))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f213,f4]) ).
tff(f635,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f213,f3]) ).
tff(f634,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum($uminus(X1),X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f213,f3]) ).
tff(f632,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f213,f13]) ).
tff(f631,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,0/1)
| $less(X2,$sum(X1,$uminus(X0))) ),
inference(resolution,[],[f213,f9]) ).
tff(f213,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f11,f7]) ).
tff(f629,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,X1),$sum(X0,$sum(X1,-2/1))),
inference(superposition,[],[f579,f4]) ).
tff(f579,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-2/1)),
inference(superposition,[],[f549,f3]) ).
tff(f619,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-2/1)),$sum(X0,X1)),
inference(superposition,[],[f567,f4]) ).
tff(f616,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-2/1))
| $less(X0,X1) ),
inference(resolution,[],[f567,f9]) ).
tff(f567,plain,
! [X0: $rat] : $less($sum(X0,-2/1),X0),
inference(superposition,[],[f548,f3]) ).
tff(f611,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-3/1)),
inference(superposition,[],[f547,f3]) ).
tff(f547,plain,
! [X0: $rat] : ~ $less(X0,$sum(-3/1,X0)),
inference(evaluation,[],[f520]) ).
tff(f520,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(3/1),X0)),
inference(superposition,[],[f106,f298]) ).
tff(f599,plain,
! [X0: $rat] : $less($sum(X0,-3/1),X0),
inference(superposition,[],[f546,f3]) ).
tff(f597,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-3/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f546,f9]) ).
tff(f546,plain,
! [X0: $rat] : $less($sum(-3/1,X0),X0),
inference(evaluation,[],[f521]) ).
tff(f521,plain,
! [X0: $rat] : $less($sum($uminus(3/1),X0),X0),
inference(superposition,[],[f104,f298]) ).
tff(f592,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-1/1)),
inference(superposition,[],[f552,f3]) ).
tff(f552,plain,
! [X0: $rat] : ~ $less(X0,$sum(-1/1,X0)),
inference(evaluation,[],[f514]) ).
tff(f514,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(1/1),X0)),
inference(superposition,[],[f72,f298]) ).
tff(f580,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,-2/1)),
inference(superposition,[],[f549,f3]) ).
tff(f549,plain,
! [X0: $rat] : ~ $less(X0,$sum(-2/1,X0)),
inference(evaluation,[],[f518]) ).
tff(f518,plain,
! [X0: $rat] : ~ $less(X0,$sum($uminus(2/1),X0)),
inference(superposition,[],[f77,f298]) ).
tff(f568,plain,
! [X0: $rat] : $less($sum(X0,-2/1),X0),
inference(superposition,[],[f548,f3]) ).
tff(f566,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-2/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f548,f9]) ).
tff(f548,plain,
! [X0: $rat] : $less($sum(-2/1,X0),X0),
inference(evaluation,[],[f519]) ).
tff(f519,plain,
! [X0: $rat] : $less($sum($uminus(2/1),X0),X0),
inference(superposition,[],[f75,f298]) ).
tff(f564,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,$sum(X1,-1/1)),$sum(X0,X1)),
inference(superposition,[],[f555,f4]) ).
tff(f561,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(X1,-1/1))
| $less(X0,X1) ),
inference(resolution,[],[f555,f9]) ).
tff(f555,plain,
! [X0: $rat] : $less($sum(X0,-1/1),X0),
inference(superposition,[],[f550,f3]) ).
tff(f556,plain,
! [X0: $rat] : $less($sum(X0,-1/1),X0),
inference(superposition,[],[f550,f3]) ).
tff(f554,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,$sum(-1/1,X1))
| $less(X0,X1) ),
inference(resolution,[],[f550,f9]) ).
tff(f550,plain,
! [X0: $rat] : $less($sum(-1/1,X0),X0),
inference(evaluation,[],[f516]) ).
tff(f516,plain,
! [X0: $rat] : $less($sum($uminus(1/1),X0),X0),
inference(superposition,[],[f36,f298]) ).
tff(f517,plain,
! [X0: $rat] : ( $sum(17/4,X0) = $sum(10/1,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f272,f298]) ).
tff(f551,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less($sum(-1/1,X0),X1) ),
inference(evaluation,[],[f515]) ).
tff(f515,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less($sum($uminus(1/1),X0),X1) ),
inference(superposition,[],[f32,f298]) ).
tff(f513,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f4,f298]) ).
tff(f512,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X1,$sum(X2,$sum($uminus(X0),X1)))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f298]) ).
tff(f511,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$sum($uminus(X0),X1)),X1)
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f298]) ).
tff(f509,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$sum($uminus($sum(X0,X1)),X2))) = X2 ),
inference(superposition,[],[f298,f4]) ).
tff(f505,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f298,f3]) ).
tff(f504,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f298,f3]) ).
tff(f503,plain,
! [X0: $rat,X1: $rat] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
inference(superposition,[],[f298,f6]) ).
tff(f501,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(superposition,[],[f298,f13]) ).
tff(f298,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f269]) ).
tff(f269,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f496,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,9/1)),$sum(X0,X1)),
inference(superposition,[],[f476,f4]) ).
tff(f498,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f491]) ).
tff(f491,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),9/1)),
inference(resolution,[],[f476,f12]) ).
tff(f499,plain,
! [X0: $rat] : ~ $less($sum(10/1,X0),X0),
inference(evaluation,[],[f490]) ).
tff(f490,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),9/1),X0),
inference(resolution,[],[f476,f46]) ).
tff(f500,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f489]) ).
tff(f489,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),9/1)),
inference(resolution,[],[f476,f32]) ).
tff(f476,plain,
! [X0: $rat] : ~ $less($sum(X0,9/1),X0),
inference(superposition,[],[f426,f3]) ).
tff(f484,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,9/1))),
inference(superposition,[],[f465,f4]) ).
tff(f481,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,9/1)) ),
inference(resolution,[],[f465,f9]) ).
tff(f465,plain,
! [X0: $rat] : $less(X0,$sum(X0,9/1)),
inference(superposition,[],[f425,f3]) ).
tff(f477,plain,
! [X0: $rat] : ~ $less($sum(X0,9/1),X0),
inference(superposition,[],[f426,f3]) ).
tff(f480,plain,
! [X0: $rat] : $less(X0,$sum(10/1,X0)),
inference(evaluation,[],[f469]) ).
tff(f469,plain,
! [X0: $rat] : $less(X0,$sum(9/1,$sum(1/1,X0))),
inference(resolution,[],[f426,f32]) ).
tff(f426,plain,
! [X0: $rat] : ~ $less($sum(9/1,X0),X0),
inference(evaluation,[],[f417]) ).
tff(f417,plain,
! [X0: $rat] : ~ $less($sum(8/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f381,f46]) ).
tff(f466,plain,
! [X0: $rat] : $less(X0,$sum(X0,9/1)),
inference(superposition,[],[f425,f3]) ).
tff(f462,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(9/1,X1)) ),
inference(resolution,[],[f425,f9]) ).
tff(f425,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f418]) ).
tff(f418,plain,
! [X0: $rat] : $less(X0,$sum(8/1,$sum(X0,1/1))),
inference(resolution,[],[f381,f12]) ).
tff(f461,plain,
! [X0: $rat] :
( $less(17/4,$sum(X0,$uminus(sK0)))
| ~ $less(10/1,X0) ),
inference(superposition,[],[f11,f455]) ).
tff(f460,plain,
! [X0: $rat] :
( $less($sum(X0,$uminus(sK0)),17/4)
| ~ $less(X0,10/1) ),
inference(superposition,[],[f11,f455]) ).
tff(f459,plain,
! [X0: $rat] : ( $sum(17/4,X0) = $sum(10/1,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f4,f455]) ).
tff(f455,plain,
17/4 = $sum(10/1,$uminus(sK0)),
inference(evaluation,[],[f449]) ).
tff(f449,plain,
$sum(10/1,$uminus(sK0)) = $sum(17/4,0/1),
inference(superposition,[],[f272,f7]) ).
tff(f454,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(10/1,X0),$sum(X1,$sum(sK0,X0)))
| ~ $less(17/4,X1) ),
inference(superposition,[],[f11,f272]) ).
tff(f453,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,$sum(sK0,X0)),$sum(10/1,X0))
| ~ $less(X1,17/4) ),
inference(superposition,[],[f11,f272]) ).
tff(f451,plain,
! [X0: $rat] : ( $sum(10/1,X0) = $sum(17/4,$sum(X0,sK0)) ),
inference(superposition,[],[f272,f3]) ).
tff(f450,plain,
! [X0: $rat] : ( $sum(10/1,X0) = $sum(17/4,$sum(X0,sK0)) ),
inference(superposition,[],[f272,f3]) ).
tff(f272,plain,
! [X0: $rat] : ( $sum(17/4,$sum(sK0,X0)) = $sum(10/1,X0) ),
inference(superposition,[],[f4,f17]) ).
tff(f443,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,8/1)),$sum(X0,X1)),
inference(superposition,[],[f423,f4]) ).
tff(f445,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f438]) ).
tff(f438,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),8/1)),
inference(resolution,[],[f423,f12]) ).
tff(f446,plain,
! [X0: $rat] : ~ $less($sum(9/1,X0),X0),
inference(evaluation,[],[f437]) ).
tff(f437,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),8/1),X0),
inference(resolution,[],[f423,f46]) ).
tff(f447,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f436]) ).
tff(f436,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),8/1)),
inference(resolution,[],[f423,f32]) ).
tff(f423,plain,
! [X0: $rat] : ~ $less($sum(X0,8/1),X0),
inference(superposition,[],[f381,f3]) ).
tff(f431,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,8/1))),
inference(superposition,[],[f412,f4]) ).
tff(f428,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,8/1)) ),
inference(resolution,[],[f412,f9]) ).
tff(f412,plain,
! [X0: $rat] : $less(X0,$sum(X0,8/1)),
inference(superposition,[],[f380,f3]) ).
tff(f424,plain,
! [X0: $rat] : ~ $less($sum(X0,8/1),X0),
inference(superposition,[],[f381,f3]) ).
tff(f427,plain,
! [X0: $rat] : $less(X0,$sum(9/1,X0)),
inference(evaluation,[],[f416]) ).
tff(f416,plain,
! [X0: $rat] : $less(X0,$sum(8/1,$sum(1/1,X0))),
inference(resolution,[],[f381,f32]) ).
tff(f381,plain,
! [X0: $rat] : ~ $less($sum(8/1,X0),X0),
inference(evaluation,[],[f372]) ).
tff(f372,plain,
! [X0: $rat] : ~ $less($sum(7/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f333,f46]) ).
tff(f413,plain,
! [X0: $rat] : $less(X0,$sum(X0,8/1)),
inference(superposition,[],[f380,f3]) ).
tff(f409,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(8/1,X1)) ),
inference(resolution,[],[f380,f9]) ).
tff(f380,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f373]) ).
tff(f373,plain,
! [X0: $rat] : $less(X0,$sum(7/1,$sum(X0,1/1))),
inference(resolution,[],[f333,f12]) ).
tff(f404,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,7/1)),$sum(X0,X1)),
inference(superposition,[],[f378,f4]) ).
tff(f406,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f399]) ).
tff(f399,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),7/1)),
inference(resolution,[],[f378,f12]) ).
tff(f407,plain,
! [X0: $rat] : ~ $less($sum(8/1,X0),X0),
inference(evaluation,[],[f398]) ).
tff(f398,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),7/1),X0),
inference(resolution,[],[f378,f46]) ).
tff(f408,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f397]) ).
tff(f397,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),7/1)),
inference(resolution,[],[f378,f32]) ).
tff(f378,plain,
! [X0: $rat] : ~ $less($sum(X0,7/1),X0),
inference(superposition,[],[f333,f3]) ).
tff(f392,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X0,$sum(X1,sK0)),10/1)
| ~ $less($sum(X0,X1),17/4) ),
inference(superposition,[],[f218,f4]) ).
tff(f390,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),10/1)
| ~ $less(X0,17/4) ),
inference(superposition,[],[f218,f3]) ).
tff(f389,plain,
! [X0: $rat] :
( $less($sum(sK0,X0),10/1)
| ~ $less(X0,17/4) ),
inference(superposition,[],[f218,f3]) ).
tff(f388,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,17/4)
| ~ $less(X1,$sum(X0,sK0))
| $less(X1,10/1) ),
inference(resolution,[],[f218,f9]) ).
tff(f218,plain,
! [X0: $rat] :
( $less($sum(X0,sK0),10/1)
| ~ $less(X0,17/4) ),
inference(superposition,[],[f11,f17]) ).
tff(f386,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,7/1))),
inference(superposition,[],[f367,f4]) ).
tff(f383,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,7/1)) ),
inference(resolution,[],[f367,f9]) ).
tff(f367,plain,
! [X0: $rat] : $less(X0,$sum(X0,7/1)),
inference(superposition,[],[f332,f3]) ).
tff(f379,plain,
! [X0: $rat] : ~ $less($sum(X0,7/1),X0),
inference(superposition,[],[f333,f3]) ).
tff(f382,plain,
! [X0: $rat] : $less(X0,$sum(8/1,X0)),
inference(evaluation,[],[f371]) ).
tff(f371,plain,
! [X0: $rat] : $less(X0,$sum(7/1,$sum(1/1,X0))),
inference(resolution,[],[f333,f32]) ).
tff(f333,plain,
! [X0: $rat] : ~ $less($sum(7/1,X0),X0),
inference(evaluation,[],[f324]) ).
tff(f324,plain,
! [X0: $rat] : ~ $less($sum(6/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f262,f46]) ).
tff(f368,plain,
! [X0: $rat] : $less(X0,$sum(X0,7/1)),
inference(superposition,[],[f332,f3]) ).
tff(f364,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(7/1,X1)) ),
inference(resolution,[],[f332,f9]) ).
tff(f332,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f325]) ).
tff(f325,plain,
! [X0: $rat] : $less(X0,$sum(6/1,$sum(X0,1/1))),
inference(resolution,[],[f262,f12]) ).
tff(f359,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,6/1)),$sum(X0,X1)),
inference(superposition,[],[f330,f4]) ).
tff(f361,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f354]) ).
tff(f354,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),6/1)),
inference(resolution,[],[f330,f12]) ).
tff(f362,plain,
! [X0: $rat] : ~ $less($sum(7/1,X0),X0),
inference(evaluation,[],[f353]) ).
tff(f353,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),6/1),X0),
inference(resolution,[],[f330,f46]) ).
tff(f363,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f352]) ).
tff(f352,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),6/1)),
inference(resolution,[],[f330,f32]) ).
tff(f330,plain,
! [X0: $rat] : ~ $less($sum(X0,6/1),X0),
inference(superposition,[],[f262,f3]) ).
tff(f348,plain,
( $less($uminus(sK0),17/4)
| ( 17/4 = $uminus(sK0) ) ),
inference(resolution,[],[f346,f10]) ).
tff(f347,plain,
( $less($uminus(sK0),17/4)
| ( 17/4 = $uminus(sK0) ) ),
inference(resolution,[],[f346,f10]) ).
tff(f346,plain,
~ $less(17/4,$uminus(sK0)),
inference(evaluation,[],[f345]) ).
tff(f345,plain,
( $less(10/1,0/1)
| ~ $less(17/4,$uminus(sK0)) ),
inference(superposition,[],[f211,f19]) ).
tff(f344,plain,
! [X0: $rat,X1: $rat] :
( $less(10/1,$sum(X0,$sum(X1,sK0)))
| ~ $less(17/4,$sum(X0,X1)) ),
inference(superposition,[],[f211,f4]) ).
tff(f342,plain,
! [X0: $rat] :
( $less(10/1,$sum(sK0,X0))
| ~ $less(17/4,X0) ),
inference(superposition,[],[f211,f3]) ).
tff(f341,plain,
! [X0: $rat] :
( $less(10/1,$sum(sK0,X0))
| ~ $less(17/4,X0) ),
inference(superposition,[],[f211,f3]) ).
tff(f340,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(17/4,X0)
| ~ $less(X1,10/1)
| $less(X1,$sum(X0,sK0)) ),
inference(resolution,[],[f211,f9]) ).
tff(f211,plain,
! [X0: $rat] :
( $less(10/1,$sum(X0,sK0))
| ~ $less(17/4,X0) ),
inference(superposition,[],[f11,f17]) ).
tff(f338,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,6/1))),
inference(superposition,[],[f319,f4]) ).
tff(f335,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,6/1)) ),
inference(resolution,[],[f319,f9]) ).
tff(f319,plain,
! [X0: $rat] : $less(X0,$sum(X0,6/1)),
inference(superposition,[],[f261,f3]) ).
tff(f331,plain,
! [X0: $rat] : ~ $less($sum(X0,6/1),X0),
inference(superposition,[],[f262,f3]) ).
tff(f334,plain,
! [X0: $rat] : $less(X0,$sum(7/1,X0)),
inference(evaluation,[],[f323]) ).
tff(f323,plain,
! [X0: $rat] : $less(X0,$sum(6/1,$sum(1/1,X0))),
inference(resolution,[],[f262,f32]) ).
tff(f262,plain,
! [X0: $rat] : ~ $less($sum(6/1,X0),X0),
inference(evaluation,[],[f253]) ).
tff(f253,plain,
! [X0: $rat] : ~ $less($sum(5/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f204,f46]) ).
tff(f320,plain,
! [X0: $rat] : $less(X0,$sum(X0,6/1)),
inference(superposition,[],[f261,f3]) ).
tff(f316,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(6/1,X1)) ),
inference(resolution,[],[f261,f9]) ).
tff(f261,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f254]) ).
tff(f254,plain,
! [X0: $rat] : $less(X0,$sum(5/1,$sum(X0,1/1))),
inference(resolution,[],[f204,f12]) ).
tff(f311,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,5/1)),$sum(X0,X1)),
inference(superposition,[],[f259,f4]) ).
tff(f313,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f306]) ).
tff(f306,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),5/1)),
inference(resolution,[],[f259,f12]) ).
tff(f314,plain,
! [X0: $rat] : ~ $less($sum(6/1,X0),X0),
inference(evaluation,[],[f305]) ).
tff(f305,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),5/1),X0),
inference(resolution,[],[f259,f46]) ).
tff(f315,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f304]) ).
tff(f304,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),5/1)),
inference(resolution,[],[f259,f32]) ).
tff(f259,plain,
! [X0: $rat] : ~ $less($sum(X0,5/1),X0),
inference(superposition,[],[f204,f3]) ).
tff(f296,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,5/1))),
inference(superposition,[],[f248,f4]) ).
tff(f295,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,4/1))),
inference(superposition,[],[f190,f4]) ).
tff(f294,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,4/1)),$sum(X0,X1)),
inference(superposition,[],[f201,f4]) ).
tff(f293,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,3/1))),
inference(superposition,[],[f138,f4]) ).
tff(f292,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,3/1)),$sum(X0,X1)),
inference(superposition,[],[f149,f4]) ).
tff(f291,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,2/1))),
inference(superposition,[],[f93,f4]) ).
tff(f290,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,2/1)),$sum(X0,X1)),
inference(superposition,[],[f102,f4]) ).
tff(f289,plain,
! [X0: $rat,X1: $rat] : ( 0/1 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f7,f4]) ).
tff(f288,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X2,$sum(X0,$sum(X1,1/1)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f287,plain,
! [X0: $rat,X1: $rat] : $less($sum(X0,X1),$sum(X0,$sum(X1,1/1))),
inference(superposition,[],[f31,f4]) ).
tff(f286,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X2,$sum(X0,$sum(X1,1/1)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f46,f4]) ).
tff(f285,plain,
! [X0: $rat,X1: $rat] : ~ $less($sum(X0,$sum(X1,1/1)),$sum(X0,X1)),
inference(superposition,[],[f61,f4]) ).
tff(f283,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f3,f4]) ).
tff(f282,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f3,f4]) ).
tff(f281,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,[],[f11,f4]) ).
tff(f280,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,[],[f11,f4]) ).
tff(f279,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f3]) ).
tff(f278,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f3]) ).
tff(f275,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f4,f6]) ).
tff(f297,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f274]) ).
tff(f274,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f4,f19]) ).
tff(f271,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f4,f3]) ).
tff(f270,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f4,f3]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f264,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,5/1)) ),
inference(resolution,[],[f248,f9]) ).
tff(f248,plain,
! [X0: $rat] : $less(X0,$sum(X0,5/1)),
inference(superposition,[],[f203,f3]) ).
tff(f260,plain,
! [X0: $rat] : ~ $less($sum(X0,5/1),X0),
inference(superposition,[],[f204,f3]) ).
tff(f263,plain,
! [X0: $rat] : $less(X0,$sum(6/1,X0)),
inference(evaluation,[],[f252]) ).
tff(f252,plain,
! [X0: $rat] : $less(X0,$sum(5/1,$sum(1/1,X0))),
inference(resolution,[],[f204,f32]) ).
tff(f204,plain,
! [X0: $rat] : ~ $less($sum(5/1,X0),X0),
inference(evaluation,[],[f195]) ).
tff(f195,plain,
! [X0: $rat] : ~ $less($sum(4/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f152,f46]) ).
tff(f249,plain,
! [X0: $rat] : $less(X0,$sum(X0,5/1)),
inference(superposition,[],[f203,f3]) ).
tff(f245,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(5/1,X1)) ),
inference(resolution,[],[f203,f9]) ).
tff(f203,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f196]) ).
tff(f196,plain,
! [X0: $rat] : $less(X0,$sum(4/1,$sum(X0,1/1))),
inference(resolution,[],[f152,f12]) ).
tff(f242,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f236]) ).
tff(f236,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),4/1)),
inference(resolution,[],[f201,f12]) ).
tff(f243,plain,
! [X0: $rat] : ~ $less($sum(5/1,X0),X0),
inference(evaluation,[],[f235]) ).
tff(f235,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),4/1),X0),
inference(resolution,[],[f201,f46]) ).
tff(f244,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f234]) ).
tff(f234,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),4/1)),
inference(resolution,[],[f201,f32]) ).
tff(f201,plain,
! [X0: $rat] : ~ $less($sum(X0,4/1),X0),
inference(superposition,[],[f152,f3]) ).
tff(f227,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,4/1)) ),
inference(resolution,[],[f190,f9]) ).
tff(f190,plain,
! [X0: $rat] : $less(X0,$sum(X0,4/1)),
inference(superposition,[],[f151,f3]) ).
tff(f224,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f11,f6]) ).
tff(f223,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(X1,X0),0/1)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f11,f19]) ).
tff(f222,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f11,f3]) ).
tff(f217,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f11,f6]) ).
tff(f216,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f11,f19]) ).
tff(f215,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f11,f3]) ).
tff(f210,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f11,f9]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f202,plain,
! [X0: $rat] : ~ $less($sum(X0,4/1),X0),
inference(superposition,[],[f152,f3]) ).
tff(f205,plain,
! [X0: $rat] : $less(X0,$sum(5/1,X0)),
inference(evaluation,[],[f194]) ).
tff(f194,plain,
! [X0: $rat] : $less(X0,$sum(4/1,$sum(1/1,X0))),
inference(resolution,[],[f152,f32]) ).
tff(f152,plain,
! [X0: $rat] : ~ $less($sum(4/1,X0),X0),
inference(evaluation,[],[f143]) ).
tff(f143,plain,
! [X0: $rat] : ~ $less($sum(3/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f106,f46]) ).
tff(f191,plain,
! [X0: $rat] : $less(X0,$sum(X0,4/1)),
inference(superposition,[],[f151,f3]) ).
tff(f187,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(4/1,X1)) ),
inference(resolution,[],[f151,f9]) ).
tff(f151,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f144]) ).
tff(f144,plain,
! [X0: $rat] : $less(X0,$sum(3/1,$sum(X0,1/1))),
inference(resolution,[],[f106,f12]) ).
tff(f184,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f178]) ).
tff(f178,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),3/1)),
inference(resolution,[],[f149,f12]) ).
tff(f185,plain,
! [X0: $rat] : ~ $less($sum(4/1,X0),X0),
inference(evaluation,[],[f177]) ).
tff(f177,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),3/1),X0),
inference(resolution,[],[f149,f46]) ).
tff(f186,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f176]) ).
tff(f176,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),3/1)),
inference(resolution,[],[f149,f32]) ).
tff(f149,plain,
! [X0: $rat] : ~ $less($sum(X0,3/1),X0),
inference(superposition,[],[f106,f3]) ).
tff(f170,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,3/1)) ),
inference(resolution,[],[f138,f9]) ).
tff(f138,plain,
! [X0: $rat] : $less(X0,$sum(X0,3/1)),
inference(superposition,[],[f104,f3]) ).
tff(f163,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f3,f6]) ).
tff(f162,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f3,f6]) ).
tff(f159,plain,
! [X0: $rat,X1: $rat] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f6,f3]) ).
tff(f6,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f150,plain,
! [X0: $rat] : ~ $less($sum(X0,3/1),X0),
inference(superposition,[],[f106,f3]) ).
tff(f153,plain,
! [X0: $rat] : $less(X0,$sum(4/1,X0)),
inference(evaluation,[],[f142]) ).
tff(f142,plain,
! [X0: $rat] : $less(X0,$sum(3/1,$sum(1/1,X0))),
inference(resolution,[],[f106,f32]) ).
tff(f106,plain,
! [X0: $rat] : ~ $less($sum(3/1,X0),X0),
inference(evaluation,[],[f95]) ).
tff(f95,plain,
! [X0: $rat] : ~ $less($sum(2/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f77,f46]) ).
tff(f139,plain,
! [X0: $rat] : $less(X0,$sum(X0,3/1)),
inference(superposition,[],[f104,f3]) ).
tff(f135,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(3/1,X1)) ),
inference(resolution,[],[f104,f9]) ).
tff(f104,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f97]) ).
tff(f97,plain,
! [X0: $rat] : $less(X0,$sum(2/1,$sum(1/1,X0))),
inference(resolution,[],[f77,f32]) ).
tff(f132,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f126]) ).
tff(f126,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),2/1)),
inference(resolution,[],[f102,f12]) ).
tff(f133,plain,
! [X0: $rat] : ~ $less($sum(3/1,X0),X0),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),2/1),X0),
inference(resolution,[],[f102,f46]) ).
tff(f134,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f124]) ).
tff(f124,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),2/1)),
inference(resolution,[],[f102,f32]) ).
tff(f102,plain,
! [X0: $rat] : ~ $less($sum(X0,2/1),X0),
inference(superposition,[],[f77,f3]) ).
tff(f118,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2/1)) ),
inference(resolution,[],[f93,f9]) ).
tff(f93,plain,
! [X0: $rat] : $less(X0,$sum(X0,2/1)),
inference(superposition,[],[f75,f3]) ).
tff(f113,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f108,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f10,f9]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f103,plain,
! [X0: $rat] : ~ $less($sum(X0,2/1),X0),
inference(superposition,[],[f77,f3]) ).
tff(f105,plain,
! [X0: $rat] : $less(X0,$sum(3/1,X0)),
inference(evaluation,[],[f96]) ).
tff(f96,plain,
! [X0: $rat] : $less(X0,$sum(2/1,$sum(X0,1/1))),
inference(resolution,[],[f77,f12]) ).
tff(f77,plain,
! [X0: $rat] : ~ $less($sum(2/1,X0),X0),
inference(evaluation,[],[f67]) ).
tff(f67,plain,
! [X0: $rat] : ~ $less($sum($sum(X0,1/1),1/1),X0),
inference(resolution,[],[f61,f46]) ).
tff(f94,plain,
! [X0: $rat] : $less(X0,$sum(X0,2/1)),
inference(superposition,[],[f75,f3]) ).
tff(f90,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(2/1,X1)) ),
inference(resolution,[],[f75,f9]) ).
tff(f75,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f69]) ).
tff(f69,plain,
! [X0: $rat] : $less(X0,$sum($sum(1/1,X0),1/1)),
inference(resolution,[],[f61,f32]) ).
tff(f87,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f80]) ).
tff(f80,plain,
! [X0: $rat] : $less(X0,$sum(1/1,$sum(1/1,X0))),
inference(resolution,[],[f72,f32]) ).
tff(f88,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f79]) ).
tff(f79,plain,
! [X0: $rat] : $less(X0,$sum(1/1,$sum(X0,1/1))),
inference(resolution,[],[f72,f12]) ).
tff(f89,plain,
! [X0: $rat] : ~ $less($sum(2/1,X0),X0),
inference(evaluation,[],[f78]) ).
tff(f78,plain,
! [X0: $rat] : ~ $less($sum(1/1,$sum(X0,1/1)),X0),
inference(resolution,[],[f72,f46]) ).
tff(f72,plain,
! [X0: $rat] : ~ $less($sum(1/1,X0),X0),
inference(superposition,[],[f61,f3]) ).
tff(f73,plain,
! [X0: $rat] : ~ $less($sum(1/1,X0),X0),
inference(superposition,[],[f61,f3]) ).
tff(f76,plain,
! [X0: $rat] : $less(X0,$sum(2/1,X0)),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
! [X0: $rat] : $less(X0,$sum($sum(X0,1/1),1/1)),
inference(resolution,[],[f61,f12]) ).
tff(f61,plain,
! [X0: $rat] : ~ $less($sum(X0,1/1),X0),
inference(resolution,[],[f46,f8]) ).
tff(f66,plain,
! [X0: $rat] :
( $less(X0,0/1)
| ~ $less(X0,-1/1) ),
inference(evaluation,[],[f65]) ).
tff(f65,plain,
! [X0: $rat] :
( $less(X0,0/1)
| ~ $less(X0,$uminus(1/1)) ),
inference(superposition,[],[f46,f19]) ).
tff(f64,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f46,f3]) ).
tff(f63,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f46,f3]) ).
tff(f62,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1/1)) ),
inference(resolution,[],[f46,f9]) ).
tff(f46,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,$sum(X1,1/1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f9,f31]) ).
tff(f60,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,1/1)
| ~ $less(X1,0/1)
| $less(X1,X0) ),
inference(resolution,[],[f52,f9]) ).
tff(f58,plain,
! [X0: $rat,X1: $rat] :
( $less(0/1,X0)
| ~ $less(X1,X0)
| $less(X1,1/1) ),
inference(resolution,[],[f52,f9]) ).
tff(f52,plain,
! [X0: $rat] :
( $less(X0,1/1)
| $less(0/1,X0) ),
inference(superposition,[],[f32,f5]) ).
tff(f51,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X1)
| ~ $less(X2,X1)
| $less(X2,$sum(1/1,X0)) ),
inference(resolution,[],[f32,f9]) ).
tff(f32,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f49,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,-1/1)
| $less(X0,X1)
| $less(X1,0/1) ),
inference(resolution,[],[f9,f35]) ).
tff(f48,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,0/1)
| $less(-1/1,X1) ),
inference(resolution,[],[f9,f35]) ).
tff(f47,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(1/1,X1)) ),
inference(resolution,[],[f9,f36]) ).
tff(f45,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1/1))
| $less(X2,X1) ),
inference(resolution,[],[f9,f12]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f35,plain,
! [X0: $rat] :
( $less(X0,0/1)
| $less(-1/1,X0) ),
inference(evaluation,[],[f34]) ).
tff(f34,plain,
! [X0: $rat] :
( $less(X0,0/1)
| $less($uminus(1/1),X0) ),
inference(superposition,[],[f12,f19]) ).
tff(f36,plain,
! [X0: $rat] : $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f31,f3]) ).
tff(f37,plain,
! [X0: $rat] : $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f31,f3]) ).
tff(f31,plain,
! [X0: $rat] : $less(X0,$sum(X0,1/1)),
inference(resolution,[],[f12,f8]) ).
tff(f33,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(1/1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f19,plain,
! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f13,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f17,plain,
10/1 = $sum(17/4,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 23/4 != sK0 )
& ( 10/1 = $sum(17/4,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ( 23/4 != X0 )
& ( $sum(17/4,X0) = 10/1 ) )
=> ( ( 23/4 != sK0 )
& ( 10/1 = $sum(17/4,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 23/4 != X0 )
& ( $sum(17/4,X0) = 10/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_sum_problem_14) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f18,plain,
23/4 != sK0,
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI259_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 13:27:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1647)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1651)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1653)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1649)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1648)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1651)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (1655)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (1654)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (1656)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (1648)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (1649)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (1653)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (1649)Terminated due to inappropriate strategy.
% 0.13/0.37 % (1649)------------------------------
% 0.13/0.37 % (1649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1653)Terminated due to inappropriate strategy.
% 0.13/0.37 % (1653)------------------------------
% 0.13/0.37 % (1653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1649)Termination reason: Inappropriate
% 0.13/0.37 % (1653)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (1649)Memory used [KB]: 723
% 0.13/0.37 % (1653)Memory used [KB]: 722
% 0.13/0.37 % (1649)Time elapsed: 0.002 s
% 0.13/0.37 % (1653)Time elapsed: 0.002 s
% 0.13/0.37 % (1649)Instructions burned: 2 (million)
% 0.13/0.37 % (1653)Instructions burned: 2 (million)
% 0.13/0.37 % (1648)Terminated due to inappropriate strategy.
% 0.13/0.37 % (1648)------------------------------
% 0.13/0.37 % (1648)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1648)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (1648)Memory used [KB]: 722
% 0.13/0.37 % (1648)Time elapsed: 0.003 s
% 0.13/0.37 % (1648)Instructions burned: 2 (million)
% 0.13/0.37 % (1653)------------------------------
% 0.13/0.37 % (1653)------------------------------
% 0.13/0.37 % (1649)------------------------------
% 0.13/0.37 % (1649)------------------------------
% 0.13/0.37 % (1648)------------------------------
% 0.13/0.37 % (1648)------------------------------
% 0.21/0.39 % (1658)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)
% 0.21/0.39 % (1657)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.39 % (1659)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)
% 0.21/0.39 % (1657)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39 % (1657)Terminated due to inappropriate strategy.
% 0.21/0.39 % (1657)------------------------------
% 0.21/0.39 % (1657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (1657)Termination reason: Inappropriate
% 0.21/0.39
% 0.21/0.39 % (1657)Memory used [KB]: 722
% 0.21/0.39 % (1657)Time elapsed: 0.002 s
% 0.21/0.39 % (1657)Instructions burned: 2 (million)
% 0.21/0.39 % (1657)------------------------------
% 0.21/0.39 % (1657)------------------------------
% 0.21/0.41 % (1660)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)
% 0.21/0.41 % (1651)First to succeed.
% 0.21/0.42 % (1651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1647"
% 0.21/0.42 % (1651)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (1651)------------------------------
% 0.21/0.43 % (1651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.43 % (1651)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (1651)Memory used [KB]: 1381
% 0.21/0.43 % (1651)Time elapsed: 0.052 s
% 0.21/0.43 % (1651)Instructions burned: 87 (million)
% 0.21/0.43 % (1647)Success in time 0.059 s
%------------------------------------------------------------------------------