TSTP Solution File: SWC204+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC204+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:02:56 EDT 2024
% Result : Theorem 2.03s 0.63s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 237
% Syntax : Number of formulae : 2727 ( 93 unt; 0 def)
% Number of atoms : 10391 (2627 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 12877 (5213 ~;6483 |; 747 &)
% ( 148 <=>; 286 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 111 ( 109 usr; 72 prp; 0-4 aty)
% Number of functors : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 3755 (3426 !; 329 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7642,plain,
$false,
inference(avatar_sat_refutation,[],[f674,f731,f799,f859,f1070,f1079,f1080,f1081,f1082,f1331,f1335,f1356,f1440,f1444,f1457,f1506,f1510,f1748,f1863,f1867,f1912,f1916,f2181,f2185,f2262,f2271,f2377,f2409,f2413,f2416,f2419,f2433,f2493,f2497,f2500,f2503,f3103,f3110,f3194,f3272,f3277,f3387,f3391,f3394,f3465,f3523,f3527,f3530,f3592,f3617,f3622,f3831,f4095,f4100,f4431,f4436,f4838,f4905,f4908,f4916,f4944,f4949,f4952,f4955,f4963,f5045,f5049,f5052,f5060,f5088,f5093,f5096,f5099,f5107,f5382,f5387,f5389,f5397,f5535,f5540,f5542,f5550,f5580,f5585,f5587,f5595,f5625,f5630,f5632,f5640,f5670,f5675,f5677,f5685,f6440,f6476,f6493,f6680,f7599,f7641]) ).
fof(f7641,plain,
spl70_2,
inference(avatar_contradiction_clause,[],[f7640]) ).
fof(f7640,plain,
( $false
| spl70_2 ),
inference(global_subsumption,[],[f388,f387,f422,f640,f620,f621,f622,f623,f624,f625,f626,f627,f572,f630,f632,f635,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f952,f953,f907,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1054,f1056,f1057,f1055,f1059,f1060,f577,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f466,f1416,f1381,f1383,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f866,f1340,f1276,f1337,f1385,f1448,f588,f589,f410,f1615,f1611,f1619,f1621,f1623,f412,f1685,f413,f1752,f1761,f1758,f564,f1782,f1783,f1784,f1785,f1823,f1791,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1788,f1825,f1827,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1845,f1851,f1854,f1846,f1900,f1903,f573,f574,f575,f2137,f2236,f2272,f2309,f430,f451,f452,f570,f2510,f2517,f2518,f2519,f2557,f2525,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f579,f2604,f2605,f2632,f2633,f2634,f586,f2718,f2719,f2729,f2730,f2731,f595,f2775,f2776,f2809,f2795,f2818,f596,f2895,f2896,f2909,f2916,f2932,f2819,f423,f2976,f2933,f424,f3020,f425,f3023,f3028,f3030,f426,f3031,f3033,f2603,f3034,f3041,f3043,f3081,f3049,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3059,f3060,f3061,f3062,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f3073,f3074,f3075,f3076,f3077,f3046,f3092,f3093,f3094,f427,f3150,f3152,f481,f599,f2606,f3314,f3321,f3323,f3363,f3329,f3331,f3332,f3333,f3334,f3335,f3336,f3337,f3338,f3339,f3340,f3341,f3342,f3343,f3344,f3345,f3346,f3347,f3348,f3349,f3350,f3351,f3352,f3353,f3354,f3356,f3357,f3358,f3326,f3375,f3376,f3378,f3377,f600,f3448,f3450,f3451,f601,f3578,f3579,f3581,f571,f3666,f3673,f3674,f3675,f3678,f3718,f3681,f3683,f3684,f3685,f3686,f3687,f3688,f3689,f3690,f3691,f3692,f3693,f3694,f3695,f3696,f3697,f3698,f3699,f3700,f3701,f3702,f3703,f3704,f3705,f3706,f3710,f3711,f3712,f597,f3950,f4023,f4028,f4046,f598,f4275,f4314,f4336,f4353,f3945,f3968,f638,f4447,f4449,f4451,f4236,f428,f4258,f450,f591,f4702,f4709,f4710,f4711,f4714,f4756,f4717,f4719,f4720,f4721,f4722,f4723,f4724,f4725,f4726,f4727,f4728,f4729,f4730,f4731,f4732,f4733,f4734,f4735,f4736,f4737,f4738,f4739,f4740,f4741,f4742,f4747,f4748,f4749,f594,f4839,f4846,f4847,f4848,f4851,f4893,f4854,f4856,f4857,f4858,f4859,f4860,f4861,f4862,f4863,f4864,f4865,f4866,f4867,f4868,f4869,f4870,f4871,f4872,f4873,f4874,f4875,f4876,f4877,f4878,f4879,f4884,f4885,f4886,f431,f432,f2710,f5185,f5192,f5194,f5200,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5221,f5222,f5223,f5224,f5225,f5234,f5235,f5236,f2711,f5277,f5284,f5286,f5292,f5294,f5295,f5296,f5297,f5298,f5299,f5300,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5309,f5310,f5311,f5312,f5313,f5314,f5315,f5316,f5317,f5326,f5327,f5328,f492,f503,f515,f527,f539,f5709,f2522,f5772,f5719,f5721,f5727,f5729,f5730,f5731,f5732,f5733,f5734,f5735,f5736,f5737,f5738,f5739,f5740,f5741,f5742,f5743,f5744,f5745,f5746,f5747,f5748,f5749,f5750,f5751,f5752,f5761,f5762,f5763,f550,f5854,f567,f5992,f5993,f6002,f6003,f956,f6066,f6013,f6015,f6021,f6023,f6024,f6025,f6026,f6027,f6028,f6029,f6030,f6031,f6032,f6033,f6034,f6035,f6036,f6037,f6038,f6039,f6040,f6041,f6042,f6043,f6044,f6045,f6046,f6055,f6056,f6057,f957,f6191,f6138,f6140,f6146,f6148,f6149,f6150,f6151,f6152,f6153,f6154,f6155,f6156,f6157,f6158,f6159,f6160,f6161,f6162,f6163,f6164,f6165,f6166,f6167,f6168,f6169,f6170,f6171,f6180,f6181,f6182,f583,f6248,f6249,f6245,f592,f958,f6337,f6284,f6286,f6292,f6294,f6295,f6296,f6297,f6298,f6299,f6300,f6301,f6302,f6303,f6304,f6305,f6306,f6307,f6308,f6309,f6310,f6311,f6312,f6313,f6314,f6315,f6316,f6317,f6326,f6327,f6328,f1039,f6411,f593,f602,f6557,f6556,f6555,f6582,f6589,f6622,f637,f6701,f6702,f6703,f6704,f6705,f6706,f6707,f6708,f6709,f6710,f6711,f6712,f6713,f617,f7085,f7086,f7087,f7088,f7089,f7090,f7091,f7092,f7093,f7094,f628,f7132,f631,f7334,f7333,f7332,f7433,f7515,f7516,f7517,f607,f7600,f6618,f6586,f1013,f7602,f6288,f7605,f6142,f7608,f6017,f936,f935,f934,f7615,f5723,f5333,f5288,f5241,f5196,f4891,f4850,f4754,f4713,f4332,f4311,f4254,f4233,f4043,f4019,f3965,f3941,f3716,f3677,f3361,f3325,f3079,f3045,f2913,f2792,f2555,f2521,f1821,f1787,f1073,f865,f1076,f817,f7632,f1384,f7637,f1275,f937,f1246,f1245,f1243,f1242,f1241,f1240,f1239,f1238,f1237,f1236,f1235,f1234,f1233,f1232,f1231,f1230,f1229,f1228,f1223,f1222,f1221,f1220,f1219,f1218,f1217,f1216,f1215,f1214,f1213,f1212,f1211,f1210,f1209,f1208,f1188,f1187,f1027,f1026,f1025,f1024,f1023,f1022,f1021,f1020,f1019,f1018,f1017,f1016,f1015,f1014,f951,f950,f949,f948,f947,f946,f945,f944,f943,f942,f941,f940,f939,f938,f672]) ).
fof(f672,plain,
( ~ sP0(sK19,sK20,sK19,sK20)
| spl70_2 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl70_2
<=> sP0(sK19,sK20,sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_2])]) ).
fof(f938,plain,
! [X0] :
( sK19 = tl(cons(sK28(X0),sK19))
| sP5(X0) ),
inference(resolution,[],[f906,f477]) ).
fof(f939,plain,
! [X0] :
( sK19 = tl(cons(sK29(X0),sK19))
| sP5(X0) ),
inference(resolution,[],[f906,f478]) ).
fof(f940,plain,
! [X0] :
( sK19 = tl(cons(sK32(X0),sK19))
| sP7(X0) ),
inference(resolution,[],[f906,f487]) ).
fof(f941,plain,
! [X0] :
( sK19 = tl(cons(sK33(X0),sK19))
| sP7(X0) ),
inference(resolution,[],[f906,f488]) ).
fof(f942,plain,
! [X0] :
( sK19 = tl(cons(sK37(X0),sK19))
| sP9(X0) ),
inference(resolution,[],[f906,f498]) ).
fof(f943,plain,
! [X0] :
( sK19 = tl(cons(sK38(X0),sK19))
| sP9(X0) ),
inference(resolution,[],[f906,f499]) ).
fof(f944,plain,
! [X0] :
( sK19 = tl(cons(sK42(X0),sK19))
| sP11(X0) ),
inference(resolution,[],[f906,f510]) ).
fof(f945,plain,
! [X0] :
( sK19 = tl(cons(sK43(X0),sK19))
| sP11(X0) ),
inference(resolution,[],[f906,f511]) ).
fof(f946,plain,
! [X0] :
( sK19 = tl(cons(sK47(X0),sK19))
| sP13(X0) ),
inference(resolution,[],[f906,f522]) ).
fof(f947,plain,
! [X0] :
( sK19 = tl(cons(sK48(X0),sK19))
| sP13(X0) ),
inference(resolution,[],[f906,f523]) ).
fof(f948,plain,
! [X0] :
( sK19 = tl(cons(sK52(X0),sK19))
| sP15(X0) ),
inference(resolution,[],[f906,f534]) ).
fof(f949,plain,
! [X0] :
( sK19 = tl(cons(sK53(X0),sK19))
| sP15(X0) ),
inference(resolution,[],[f906,f535]) ).
fof(f950,plain,
! [X0] :
( sK19 = tl(cons(sK57(X0),sK19))
| sP17(X0) ),
inference(resolution,[],[f906,f545]) ).
fof(f951,plain,
! [X0] :
( sK19 = tl(cons(sK58(X0),sK19))
| sP17(X0) ),
inference(resolution,[],[f906,f546]) ).
fof(f1014,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK19))
| sP5(X0) ),
inference(resolution,[],[f980,f477]) ).
fof(f1015,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK19))
| sP5(X0) ),
inference(resolution,[],[f980,f478]) ).
fof(f1016,plain,
! [X0] :
( sK32(X0) = hd(cons(sK32(X0),sK19))
| sP7(X0) ),
inference(resolution,[],[f980,f487]) ).
fof(f1017,plain,
! [X0] :
( sK33(X0) = hd(cons(sK33(X0),sK19))
| sP7(X0) ),
inference(resolution,[],[f980,f488]) ).
fof(f1018,plain,
! [X0] :
( sK37(X0) = hd(cons(sK37(X0),sK19))
| sP9(X0) ),
inference(resolution,[],[f980,f498]) ).
fof(f1019,plain,
! [X0] :
( sK38(X0) = hd(cons(sK38(X0),sK19))
| sP9(X0) ),
inference(resolution,[],[f980,f499]) ).
fof(f1020,plain,
! [X0] :
( sK42(X0) = hd(cons(sK42(X0),sK19))
| sP11(X0) ),
inference(resolution,[],[f980,f510]) ).
fof(f1021,plain,
! [X0] :
( sK43(X0) = hd(cons(sK43(X0),sK19))
| sP11(X0) ),
inference(resolution,[],[f980,f511]) ).
fof(f1022,plain,
! [X0] :
( sK47(X0) = hd(cons(sK47(X0),sK19))
| sP13(X0) ),
inference(resolution,[],[f980,f522]) ).
fof(f1023,plain,
! [X0] :
( sK48(X0) = hd(cons(sK48(X0),sK19))
| sP13(X0) ),
inference(resolution,[],[f980,f523]) ).
fof(f1024,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK19))
| sP15(X0) ),
inference(resolution,[],[f980,f534]) ).
fof(f1025,plain,
! [X0] :
( sK53(X0) = hd(cons(sK53(X0),sK19))
| sP15(X0) ),
inference(resolution,[],[f980,f535]) ).
fof(f1026,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK19))
| sP17(X0) ),
inference(resolution,[],[f980,f545]) ).
fof(f1027,plain,
! [X0] :
( sK58(X0) = hd(cons(sK58(X0),sK19))
| sP17(X0) ),
inference(resolution,[],[f980,f546]) ).
fof(f1187,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP1(cons(sK68,sK19),X0)
| ~ totalorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f440,f1028]) ).
fof(f1188,plain,
! [X0] :
( ~ leq(X0,sK69)
| sP1(cons(sK69,sK19),X0)
| ~ totalorderedP(cons(sK69,sK19))
| nil = cons(sK69,sK19) ),
inference(superposition,[],[f440,f1029]) ).
fof(f1208,plain,
! [X0] :
( nil = tl(cons(sK28(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f904,f477]) ).
fof(f1209,plain,
! [X0] :
( nil = tl(cons(sK29(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f904,f478]) ).
fof(f1210,plain,
! [X0] :
( nil = tl(cons(sK32(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f904,f487]) ).
fof(f1211,plain,
! [X0] :
( nil = tl(cons(sK33(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f904,f488]) ).
fof(f1212,plain,
! [X0] :
( nil = tl(cons(sK37(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f904,f498]) ).
fof(f1213,plain,
! [X0] :
( nil = tl(cons(sK38(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f904,f499]) ).
fof(f1214,plain,
! [X0] :
( nil = tl(cons(sK42(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f904,f510]) ).
fof(f1215,plain,
! [X0] :
( nil = tl(cons(sK43(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f904,f511]) ).
fof(f1216,plain,
! [X0] :
( nil = tl(cons(sK47(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f904,f522]) ).
fof(f1217,plain,
! [X0] :
( nil = tl(cons(sK48(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f904,f523]) ).
fof(f1218,plain,
! [X0] :
( nil = tl(cons(sK52(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f904,f534]) ).
fof(f1219,plain,
! [X0] :
( nil = tl(cons(sK53(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f904,f535]) ).
fof(f1220,plain,
! [X0] :
( nil = tl(cons(sK57(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f904,f545]) ).
fof(f1221,plain,
! [X0] :
( nil = tl(cons(sK58(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f904,f546]) ).
fof(f1222,plain,
nil = tl(cons(sK68,nil)),
inference(resolution,[],[f904,f603]) ).
fof(f1223,plain,
nil = tl(cons(sK69,nil)),
inference(resolution,[],[f904,f604]) ).
fof(f1228,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f978,f477]) ).
fof(f1229,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f978,f478]) ).
fof(f1230,plain,
! [X0] :
( sK32(X0) = hd(cons(sK32(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f978,f487]) ).
fof(f1231,plain,
! [X0] :
( sK33(X0) = hd(cons(sK33(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f978,f488]) ).
fof(f1232,plain,
! [X0] :
( sK37(X0) = hd(cons(sK37(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f978,f498]) ).
fof(f1233,plain,
! [X0] :
( sK38(X0) = hd(cons(sK38(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f978,f499]) ).
fof(f1234,plain,
! [X0] :
( sK42(X0) = hd(cons(sK42(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f978,f510]) ).
fof(f1235,plain,
! [X0] :
( sK43(X0) = hd(cons(sK43(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f978,f511]) ).
fof(f1236,plain,
! [X0] :
( sK47(X0) = hd(cons(sK47(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f978,f522]) ).
fof(f1237,plain,
! [X0] :
( sK48(X0) = hd(cons(sK48(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f978,f523]) ).
fof(f1238,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f978,f534]) ).
fof(f1239,plain,
! [X0] :
( sK53(X0) = hd(cons(sK53(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f978,f535]) ).
fof(f1240,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f978,f545]) ).
fof(f1241,plain,
! [X0] :
( sK58(X0) = hd(cons(sK58(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f978,f546]) ).
fof(f1242,plain,
sK68 = hd(cons(sK68,nil)),
inference(resolution,[],[f978,f603]) ).
fof(f1243,plain,
sK69 = hd(cons(sK69,nil)),
inference(resolution,[],[f978,f604]) ).
fof(f1245,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP3(cons(sK68,sK19),X0)
| ~ strictorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f448,f1028]) ).
fof(f1246,plain,
! [X0] :
( ~ lt(X0,sK69)
| sP3(cons(sK69,sK19),X0)
| ~ strictorderedP(cons(sK69,sK19))
| nil = cons(sK69,sK19) ),
inference(superposition,[],[f448,f1029]) ).
fof(f937,plain,
! [X0] :
( sK19 = tl(cons(sK27(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f906,f471]) ).
fof(f1275,plain,
( nil = sK19
| sK19 = cons(sK24(sK19),sK23(sK19)) ),
inference(resolution,[],[f463,f381]) ).
fof(f7637,plain,
( sK19 = cons(sK24(sK19),sK23(sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1309,f386]) ).
fof(f1309,plain,
( nil = sK19
| sK21 = cons(sK24(sK21),sK23(sK21)) ),
inference(forward_demodulation,[],[f1277,f386]) ).
fof(f1277,plain,
( nil = sK21
| sK21 = cons(sK24(sK21),sK23(sK21)) ),
inference(resolution,[],[f463,f383]) ).
fof(f1384,plain,
( nil = sK19
| sK19 = cons(hd(sK19),tl(sK19)) ),
inference(resolution,[],[f466,f381]) ).
fof(f7632,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1418,f386]) ).
fof(f1418,plain,
( nil = sK19
| sK21 = cons(hd(sK21),tl(sK21)) ),
inference(forward_demodulation,[],[f1386,f386]) ).
fof(f1386,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21)) ),
inference(resolution,[],[f466,f383]) ).
fof(f817,plain,
( nil = sK19
| hd(sK19) = sK25(sK19) ),
inference(resolution,[],[f468,f381]) ).
fof(f1076,plain,
( hd(sK19) = sK25(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f845,f386]) ).
fof(f845,plain,
( nil = sK19
| hd(sK21) = sK25(sK21) ),
inference(forward_demodulation,[],[f819,f386]) ).
fof(f819,plain,
( nil = sK21
| hd(sK21) = sK25(sK21) ),
inference(resolution,[],[f468,f383]) ).
fof(f865,plain,
( nil = sK19
| tl(sK19) = sK26(sK19) ),
inference(resolution,[],[f470,f381]) ).
fof(f1073,plain,
( tl(sK19) = sK26(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f894,f386]) ).
fof(f894,plain,
( nil = sK19
| tl(sK21) = sK26(sK21) ),
inference(forward_demodulation,[],[f867,f386]) ).
fof(f867,plain,
( nil = sK21
| tl(sK21) = sK26(sK21) ),
inference(resolution,[],[f470,f383]) ).
fof(f1787,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK19) = app(cons(X0,nil),sK19) ),
inference(resolution,[],[f564,f381]) ).
fof(f1821,plain,
! [X0] :
( cons(X0,sK19) = app(cons(X0,nil),sK19)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1789,f386]) ).
fof(f1789,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) ),
inference(resolution,[],[f564,f383]) ).
fof(f2521,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f570,f381]) ).
fof(f2555,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK19))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2523,f386]) ).
fof(f2523,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK21))
| ~ ssList(X0) ),
inference(resolution,[],[f570,f383]) ).
fof(f2792,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2791,f397]) ).
fof(f2791,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2758,f381]) ).
fof(f2758,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f595,f676]) ).
fof(f2913,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2912,f397]) ).
fof(f2912,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2883,f381]) ).
fof(f2883,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f596,f703]) ).
fof(f3045,plain,
sK19 = app(sK64(sK19,sK19),sK19),
inference(resolution,[],[f2603,f381]) ).
fof(f3079,plain,
sK19 = app(sK64(sK19,sK19),sK19),
inference(forward_demodulation,[],[f3047,f386]) ).
fof(f3047,plain,
sK21 = app(sK64(sK21,sK21),sK21),
inference(resolution,[],[f2603,f383]) ).
fof(f3325,plain,
sK19 = app(sK64(sK19,nil),nil),
inference(resolution,[],[f2606,f381]) ).
fof(f3361,plain,
sK19 = app(sK64(sK19,nil),nil),
inference(forward_demodulation,[],[f3327,f386]) ).
fof(f3327,plain,
sK21 = app(sK64(sK21,nil),nil),
inference(resolution,[],[f2606,f383]) ).
fof(f3677,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK19)) = app(tl(X0),sK19)
| ~ ssList(X0) ),
inference(resolution,[],[f571,f381]) ).
fof(f3716,plain,
! [X0] :
( tl(app(X0,sK19)) = app(tl(X0),sK19)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3679,f386]) ).
fof(f3679,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| ~ ssList(X0) ),
inference(resolution,[],[f571,f383]) ).
fof(f3941,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3940,f397]) ).
fof(f3940,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3846,f381]) ).
fof(f3846,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(sK19)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f597,f676]) ).
fof(f3965,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3964,f381]) ).
fof(f3964,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3856,f397]) ).
fof(f3856,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f597,f703]) ).
fof(f4019,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4018,f381]) ).
fof(f4018,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f3885,f397]) ).
fof(f3885,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(superposition,[],[f597,f676]) ).
fof(f4043,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4042,f397]) ).
fof(f4042,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3895,f381]) ).
fof(f3895,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(superposition,[],[f597,f703]) ).
fof(f4233,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4232,f381]) ).
fof(f4232,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4138,f397]) ).
fof(f4138,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f598,f676]) ).
fof(f4254,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4253,f397]) ).
fof(f4253,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4148,f381]) ).
fof(f4148,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(sK19)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f598,f703]) ).
fof(f4311,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4310,f397]) ).
fof(f4310,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4177,f381]) ).
fof(f4177,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(superposition,[],[f598,f676]) ).
fof(f4332,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4331,f381]) ).
fof(f4331,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f4187,f397]) ).
fof(f4187,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(superposition,[],[f598,f703]) ).
fof(f4713,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f381]) ).
fof(f4754,plain,
! [X0,X1] :
( cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f4715,f386]) ).
fof(f4715,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f383]) ).
fof(f4850,plain,
! [X0,X1] :
( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f594,f381]) ).
fof(f4891,plain,
! [X0,X1] :
( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4852,f386]) ).
fof(f4852,plain,
! [X0,X1] :
( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f594,f383]) ).
fof(f5196,plain,
sK19 = app(sK19,sK67(sK19,sK19)),
inference(resolution,[],[f2710,f381]) ).
fof(f5241,plain,
sK19 = app(sK19,sK67(sK19,sK19)),
inference(forward_demodulation,[],[f5198,f386]) ).
fof(f5198,plain,
sK21 = app(sK21,sK67(sK21,sK21)),
inference(resolution,[],[f2710,f383]) ).
fof(f5288,plain,
sK19 = app(nil,sK67(sK19,nil)),
inference(resolution,[],[f2711,f381]) ).
fof(f5333,plain,
sK19 = app(nil,sK67(sK19,nil)),
inference(forward_demodulation,[],[f5290,f386]) ).
fof(f5290,plain,
sK21 = app(nil,sK67(sK21,nil)),
inference(resolution,[],[f2711,f383]) ).
fof(f5723,plain,
( hd(sK19) = hd(app(sK19,sK20))
| nil = sK19 ),
inference(resolution,[],[f2522,f381]) ).
fof(f7615,plain,
( nil = sK19
| hd(sK19) = hd(app(sK19,sK20)) ),
inference(forward_demodulation,[],[f5789,f386]) ).
fof(f5789,plain,
( hd(sK19) = hd(app(sK19,sK20))
| nil = sK21 ),
inference(forward_demodulation,[],[f5725,f386]) ).
fof(f5725,plain,
( hd(sK21) = hd(app(sK21,sK20))
| nil = sK21 ),
inference(resolution,[],[f2522,f383]) ).
fof(f934,plain,
! [X0] :
( sK19 = tl(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f906,f464]) ).
fof(f935,plain,
! [X0] :
( sK19 = tl(cons(sK24(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f906,f462]) ).
fof(f936,plain,
! [X0] :
( sK19 = tl(cons(sK25(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f906,f467]) ).
fof(f6017,plain,
( nil = sK19
| sK20 = tl(cons(hd(sK19),sK20)) ),
inference(resolution,[],[f956,f381]) ).
fof(f7608,plain,
( sK20 = tl(cons(hd(sK19),sK20))
| nil = sK19 ),
inference(forward_demodulation,[],[f6079,f386]) ).
fof(f6079,plain,
( nil = sK19
| sK20 = tl(cons(hd(sK21),sK20)) ),
inference(forward_demodulation,[],[f6019,f386]) ).
fof(f6019,plain,
( nil = sK21
| sK20 = tl(cons(hd(sK21),sK20)) ),
inference(resolution,[],[f956,f383]) ).
fof(f6142,plain,
( nil = sK19
| sK20 = tl(cons(sK24(sK19),sK20)) ),
inference(resolution,[],[f957,f381]) ).
fof(f7605,plain,
( sK20 = tl(cons(sK24(sK19),sK20))
| nil = sK19 ),
inference(forward_demodulation,[],[f6198,f386]) ).
fof(f6198,plain,
( nil = sK19
| sK20 = tl(cons(sK24(sK21),sK20)) ),
inference(forward_demodulation,[],[f6144,f386]) ).
fof(f6144,plain,
( nil = sK21
| sK20 = tl(cons(sK24(sK21),sK20)) ),
inference(resolution,[],[f957,f383]) ).
fof(f6288,plain,
( nil = sK19
| sK20 = tl(cons(sK25(sK19),sK20)) ),
inference(resolution,[],[f958,f381]) ).
fof(f7602,plain,
( sK20 = tl(cons(sK25(sK19),sK20))
| nil = sK19 ),
inference(forward_demodulation,[],[f6352,f386]) ).
fof(f6352,plain,
( nil = sK19
| sK20 = tl(cons(sK25(sK21),sK20)) ),
inference(forward_demodulation,[],[f6290,f386]) ).
fof(f6290,plain,
( nil = sK21
| sK20 = tl(cons(sK25(sK21),sK20)) ),
inference(resolution,[],[f958,f383]) ).
fof(f1013,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f980,f471]) ).
fof(f6586,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6585,f397]) ).
fof(f6585,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f6519,f381]) ).
fof(f6519,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f602,f676]) ).
fof(f6618,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6617,f381]) ).
fof(f6617,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f6533,f397]) ).
fof(f6533,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK19) ),
inference(superposition,[],[f602,f703]) ).
fof(f7600,plain,
! [X0] :
( ~ ssList(app(sK19,X0))
| segmentP(app(sK19,X0),sK19)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7427,f703]) ).
fof(f7427,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(subsumption_resolution,[],[f7426,f381]) ).
fof(f7426,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(subsumption_resolution,[],[f7310,f397]) ).
fof(f7310,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(superposition,[],[f631,f703]) ).
fof(f607,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ~ ssList(tl(X1))
| app(X2,tl(X1)) = X1
| ~ ssList(app(X2,tl(X1)))
| ~ neq(nil,X1) ),
inference(equality_resolution,[],[f606]) ).
fof(f606,plain,
! [X2,X3,X0,X1,X5] :
( ~ neq(nil,X1)
| tl(X1) != X5
| ~ ssList(X5)
| app(X2,X5) = X1
| ~ ssList(app(X2,X5))
| ~ sP0(X0,X1,X2,X3) ),
inference(equality_resolution,[],[f379]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ neq(nil,X1)
| app(X2,X5) != X4
| tl(X1) != X5
| ~ ssList(X5)
| X1 = X4
| ~ ssList(X4)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( ( ~ neq(X0,nil)
& ! [X4] :
( ! [X5] :
( ~ neq(nil,X1)
| app(X2,X5) != X4
| tl(X1) != X5
| ~ ssList(X5) )
| X1 = X4
| ~ ssList(X4) )
& neq(X3,nil) )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X0,X3,X2,X1] :
( ( ~ neq(X0,nil)
& ! [X4] :
( ! [X5] :
( ~ neq(nil,X3)
| app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X1,nil) )
| ~ sP0(X0,X3,X2,X1) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X3,X2,X1] :
( ( ~ neq(X0,nil)
& ! [X4] :
( ! [X5] :
( ~ neq(nil,X3)
| app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X1,nil) )
| ~ sP0(X0,X3,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7517,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| sK20 = app(sK20,X0)
| ~ segmentP(sK20,app(sK20,X0)) ),
inference(subsumption_resolution,[],[f7512,f382]) ).
fof(f7512,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| sK20 = app(sK20,X0)
| ~ segmentP(sK20,app(sK20,X0))
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f7509]) ).
fof(f7509,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| sK20 = app(sK20,X0)
| ~ segmentP(sK20,app(sK20,X0))
| ~ ssList(app(sK20,X0))
| ~ ssList(sK20) ),
inference(resolution,[],[f7433,f574]) ).
fof(f7516,plain,
! [X0,X1] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| segmentP(X1,sK20)
| ~ segmentP(X1,app(sK20,X0))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f7513,f382]) ).
fof(f7513,plain,
! [X0,X1] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| segmentP(X1,sK20)
| ~ segmentP(X1,app(sK20,X0))
| ~ ssList(sK20)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f7508]) ).
fof(f7508,plain,
! [X0,X1] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| segmentP(X1,sK20)
| ~ segmentP(X1,app(sK20,X0))
| ~ ssList(sK20)
| ~ ssList(app(sK20,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f7433,f599]) ).
fof(f7515,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| app(sK20,X0) = app(app(sK65(app(sK20,X0),sK20),sK20),sK66(app(sK20,X0),sK20)) ),
inference(subsumption_resolution,[],[f7514,f382]) ).
fof(f7514,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| app(sK20,X0) = app(app(sK65(app(sK20,X0),sK20),sK20),sK66(app(sK20,X0),sK20))
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f7507]) ).
fof(f7507,plain,
! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| app(sK20,X0) = app(app(sK65(app(sK20,X0),sK20),sK20),sK66(app(sK20,X0),sK20))
| ~ ssList(sK20)
| ~ ssList(app(sK20,X0)) ),
inference(resolution,[],[f7433,f583]) ).
fof(f7433,plain,
! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7432,f704]) ).
fof(f7432,plain,
! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK20),X0)) ),
inference(subsumption_resolution,[],[f7431,f382]) ).
fof(f7431,plain,
! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(app(app(nil,sK20),X0)) ),
inference(subsumption_resolution,[],[f7311,f397]) ).
fof(f7311,plain,
! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ ssList(app(app(nil,sK20),X0)) ),
inference(superposition,[],[f631,f704]) ).
fof(f7332,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0)) ),
inference(duplicate_literal_removal,[],[f7281]) ).
fof(f7281,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0))
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2) ),
inference(resolution,[],[f631,f574]) ).
fof(f7333,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f7280]) ).
fof(f7280,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X3) ),
inference(resolution,[],[f631,f599]) ).
fof(f7334,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK65(app(app(X1,X2),X0),X2),X2),sK66(app(app(X1,X2),X0),X2)) ),
inference(duplicate_literal_removal,[],[f7279]) ).
fof(f7279,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK65(app(app(X1,X2),X0),X2),X2),sK66(app(app(X1,X2),X0),X2))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0)) ),
inference(resolution,[],[f631,f583]) ).
fof(f631,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f584]) ).
fof(f584,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK65(X0,X1),X1),sK66(X0,X1)) = X0
& ssList(sK66(X0,X1))
& ssList(sK65(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f365,f367,f366]) ).
fof(f366,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK65(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK65(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK65(X0,X1),X1),sK66(X0,X1)) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f7132,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK62(app(X1,cons(X2,X0)),X2),cons(X2,sK63(app(X1,cons(X2,X0)),X2))) ),
inference(duplicate_literal_removal,[],[f7119]) ).
fof(f7119,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK62(app(X1,cons(X2,X0)),X2),cons(X2,sK63(app(X1,cons(X2,X0)),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0))) ),
inference(resolution,[],[f628,f567]) ).
fof(f628,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
& ssList(sK63(X0,X1))
& ssList(sK62(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63])],[f355,f357,f356]) ).
fof(f356,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK62(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( ? [X5] :
( app(sK62(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f7094,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK29(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK29(app(X1,cons(X3,cons(X2,X0)))),sK20)) ),
inference(resolution,[],[f617,f1041]) ).
fof(f7093,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK28(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK20)) ),
inference(resolution,[],[f617,f1040]) ).
fof(f7092,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK20 = tl(cons(sK29(app(X1,cons(X3,cons(X2,X0)))),sK20)) ),
inference(resolution,[],[f617,f961]) ).
fof(f7091,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK20 = tl(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK20)) ),
inference(resolution,[],[f617,f960]) ).
fof(f7090,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK31(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK31(app(X1,cons(X3,cons(X2,X0))))) ),
inference(resolution,[],[f617,f708]) ).
fof(f7089,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK30(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK30(app(X1,cons(X3,cons(X2,X0))))) ),
inference(resolution,[],[f617,f707]) ).
fof(f7088,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK31(app(X1,cons(X3,cons(X2,X0)))) = app(sK31(app(X1,cons(X3,cons(X2,X0)))),nil) ),
inference(resolution,[],[f617,f681]) ).
fof(f7087,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK30(app(X1,cons(X3,cons(X2,X0)))) = app(sK30(app(X1,cons(X3,cons(X2,X0)))),nil) ),
inference(resolution,[],[f617,f680]) ).
fof(f7086,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| ~ equalelemsP(app(X1,cons(X3,cons(X2,X0))))
| ~ ssList(app(X1,cons(X3,cons(X2,X0)))) ),
inference(resolution,[],[f617,f648]) ).
fof(f7085,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| app(X1,cons(X3,cons(X2,X0))) = app(sK30(app(X1,cons(X3,cons(X2,X0)))),cons(sK28(app(X1,cons(X3,cons(X2,X0)))),cons(sK29(app(X1,cons(X3,cons(X2,X0)))),sK31(app(X1,cons(X3,cons(X2,X0))))))) ),
inference(resolution,[],[f617,f481]) ).
fof(f617,plain,
! [X8,X6,X7,X5] :
( ~ sP5(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6 ),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( sP5(X0)
| ( sK28(X0) != sK29(X0)
& app(sK30(X0),cons(sK28(X0),cons(sK29(X0),sK31(X0)))) = X0
& ssList(sK31(X0))
& ssList(sK30(X0))
& ssItem(sK29(X0))
& ssItem(sK28(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f291,f295,f294,f293,f292]) ).
fof(f292,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK28(X0) != X2
& app(X3,cons(sK28(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK28(X0) != X2
& app(X3,cons(sK28(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK28(X0) != sK29(X0)
& app(X3,cons(sK28(X0),cons(sK29(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK28(X0) != sK29(X0)
& app(X3,cons(sK28(X0),cons(sK29(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK28(X0) != sK29(X0)
& app(sK30(X0),cons(sK28(X0),cons(sK29(X0),X4))) = X0
& ssList(X4) )
& ssList(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0] :
( ? [X4] :
( sK28(X0) != sK29(X0)
& app(sK30(X0),cons(sK28(X0),cons(sK29(X0),X4))) = X0
& ssList(X4) )
=> ( sK28(X0) != sK29(X0)
& app(sK30(X0),cons(sK28(X0),cons(sK29(X0),sK31(X0)))) = X0
& ssList(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP5(X0) ) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP5(X0) ) ),
inference(nnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP5(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6713,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK20)) ),
inference(resolution,[],[f637,f1043]) ).
fof(f6712,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK20)) ),
inference(resolution,[],[f637,f1042]) ).
fof(f6711,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK20 = tl(cons(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK20)) ),
inference(resolution,[],[f637,f963]) ).
fof(f6710,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK20 = tl(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK20)) ),
inference(resolution,[],[f637,f962]) ).
fof(f6709,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK36(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f711]) ).
fof(f6708,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK35(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f710]) ).
fof(f6707,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK34(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f709]) ).
fof(f6706,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f684]) ).
fof(f6705,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f683]) ).
fof(f6704,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f682]) ).
fof(f6703,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ duplicatefreeP(app(app(X1,cons(X2,X0)),cons(X2,X3)))
| ~ ssList(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
inference(resolution,[],[f637,f649]) ).
fof(f6702,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
inference(resolution,[],[f637,f493]) ).
fof(f6701,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ),
inference(resolution,[],[f637,f492]) ).
fof(f637,plain,
! [X10,X8,X9,X7] :
( ~ sP7(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10) ),
inference(duplicate_literal_removal,[],[f619]) ).
fof(f619,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP7(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f618]) ).
fof(f618,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP7(X0) ),
inference(equality_resolution,[],[f486]) ).
fof(f486,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( sP7(X0)
| ( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),sK35(X0))),cons(sK33(X0),sK36(X0))) = X0
& ssList(sK36(X0))
& ssList(sK35(X0))
& ssList(sK34(X0))
& ssItem(sK33(X0))
& ssItem(sK32(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP7(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36])],[f299,f304,f303,f302,f301,f300]) ).
fof(f300,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK32(X0) = X2
& app(app(X3,cons(sK32(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK32(X0) = X2
& app(app(X3,cons(sK32(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(X3,cons(sK32(X0),X4)),cons(sK33(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(X3,cons(sK32(X0),X4)),cons(sK33(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),X4)),cons(sK33(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),X4)),cons(sK33(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),sK35(X0))),cons(sK33(X0),X5)) = X0
& ssList(X5) )
& ssList(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X5] :
( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),sK35(X0))),cons(sK33(X0),X5)) = X0
& ssList(X5) )
=> ( sK32(X0) = sK33(X0)
& app(app(sK34(X0),cons(sK32(X0),sK35(X0))),cons(sK33(X0),sK36(X0))) = X0
& ssList(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ( sP7(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP7(X0) ) ),
inference(rectify,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ( sP7(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP7(X0) ) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP7(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f6622,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(sK20,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6621,f382]) ).
fof(f6621,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(sK20,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f6534,f397]) ).
fof(f6534,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(sK20,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK20) ),
inference(superposition,[],[f602,f704]) ).
fof(f6589,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6588,f397]) ).
fof(f6588,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f6520,f382]) ).
fof(f6520,plain,
! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f602,f677]) ).
fof(f6582,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6554,f397]) ).
fof(f6554,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f6517]) ).
fof(f6517,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f602,f645]) ).
fof(f6555,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2)) ),
inference(duplicate_literal_removal,[],[f6504]) ).
fof(f6504,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X1) ),
inference(resolution,[],[f602,f574]) ).
fof(f6556,plain,
! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f6503]) ).
fof(f6503,plain,
! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) ),
inference(resolution,[],[f602,f599]) ).
fof(f6557,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK65(app(app(X3,X0),X2),X1),X1),sK66(app(app(X3,X0),X2),X1))
| ~ ssList(app(app(X3,X0),X2)) ),
inference(duplicate_literal_removal,[],[f6502]) ).
fof(f6502,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK65(app(app(X3,X0),X2),X1),X1),sK66(app(app(X3,X0),X2),X1))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2)) ),
inference(resolution,[],[f602,f583]) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f593,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f6411,plain,
! [X0] :
( sK27(cons(X0,nil)) = hd(cons(sK27(cons(X0,nil)),sK20))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f6410]) ).
fof(f6410,plain,
! [X0] :
( sK27(cons(X0,nil)) = hd(cons(sK27(cons(X0,nil)),sK20))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f1039,f616]) ).
fof(f1039,plain,
! [X0] :
( ~ singletonP(X0)
| sK27(X0) = hd(cons(sK27(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f981,f471]) ).
fof(f6328,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK20 = tl(cons(sK25(sK67(X0,X1)),sK20))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f585]) ).
fof(f6327,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK20 = tl(cons(sK25(sK66(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f582]) ).
fof(f6326,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK20 = tl(cons(sK25(sK65(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f581]) ).
fof(f6317,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK20 = tl(cons(sK25(sK64(X0,X1)),sK20))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f578]) ).
fof(f6316,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK20 = tl(cons(sK25(sK63(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f566]) ).
fof(f6315,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK20 = tl(cons(sK25(sK62(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f565]) ).
fof(f6314,plain,
! [X0] :
( nil = sK61(X0)
| sK20 = tl(cons(sK25(sK61(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f958,f549]) ).
fof(f6313,plain,
! [X0] :
( nil = sK60(X0)
| sK20 = tl(cons(sK25(sK60(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f958,f548]) ).
fof(f6312,plain,
! [X0] :
( nil = sK59(X0)
| sK20 = tl(cons(sK25(sK59(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f958,f547]) ).
fof(f6311,plain,
! [X0] :
( nil = sK56(X0)
| sK20 = tl(cons(sK25(sK56(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f958,f538]) ).
fof(f6310,plain,
! [X0] :
( nil = sK55(X0)
| sK20 = tl(cons(sK25(sK55(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f958,f537]) ).
fof(f6309,plain,
! [X0] :
( nil = sK54(X0)
| sK20 = tl(cons(sK25(sK54(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f958,f536]) ).
fof(f6308,plain,
! [X0] :
( nil = sK51(X0)
| sK20 = tl(cons(sK25(sK51(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f958,f526]) ).
fof(f6307,plain,
! [X0] :
( nil = sK50(X0)
| sK20 = tl(cons(sK25(sK50(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f958,f525]) ).
fof(f6306,plain,
! [X0] :
( nil = sK49(X0)
| sK20 = tl(cons(sK25(sK49(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f958,f524]) ).
fof(f6305,plain,
! [X0] :
( nil = sK46(X0)
| sK20 = tl(cons(sK25(sK46(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f958,f514]) ).
fof(f6304,plain,
! [X0] :
( nil = sK45(X0)
| sK20 = tl(cons(sK25(sK45(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f958,f513]) ).
fof(f6303,plain,
! [X0] :
( nil = sK44(X0)
| sK20 = tl(cons(sK25(sK44(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f958,f512]) ).
fof(f6302,plain,
! [X0] :
( nil = sK41(X0)
| sK20 = tl(cons(sK25(sK41(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f958,f502]) ).
fof(f6301,plain,
! [X0] :
( nil = sK40(X0)
| sK20 = tl(cons(sK25(sK40(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f958,f501]) ).
fof(f6300,plain,
! [X0] :
( nil = sK39(X0)
| sK20 = tl(cons(sK25(sK39(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f958,f500]) ).
fof(f6299,plain,
! [X0] :
( nil = sK36(X0)
| sK20 = tl(cons(sK25(sK36(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f958,f491]) ).
fof(f6298,plain,
! [X0] :
( nil = sK35(X0)
| sK20 = tl(cons(sK25(sK35(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f958,f490]) ).
fof(f6297,plain,
! [X0] :
( nil = sK34(X0)
| sK20 = tl(cons(sK25(sK34(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f958,f489]) ).
fof(f6296,plain,
! [X0] :
( nil = sK31(X0)
| sK20 = tl(cons(sK25(sK31(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f958,f480]) ).
fof(f6295,plain,
! [X0] :
( nil = sK30(X0)
| sK20 = tl(cons(sK25(sK30(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f958,f479]) ).
fof(f6294,plain,
! [X0] :
( nil = sK26(X0)
| sK20 = tl(cons(sK25(sK26(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f469]) ).
fof(f6292,plain,
! [X0] :
( nil = sK23(X0)
| sK20 = tl(cons(sK25(sK23(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f461]) ).
fof(f6286,plain,
! [X0] :
( nil = tl(X0)
| sK20 = tl(cons(sK25(tl(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f465]) ).
fof(f6284,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK20 = tl(cons(sK25(app(X0,X1)),sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f569]) ).
fof(f6337,plain,
! [X0,X1] :
( sK20 = tl(cons(sK25(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6277,f560]) ).
fof(f6277,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK20 = tl(cons(sK25(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f958,f559]) ).
fof(f958,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK20 = tl(cons(sK25(X0),sK20)) ),
inference(resolution,[],[f907,f467]) ).
fof(f592,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X2 = X3
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f6245,plain,
! [X0] :
( app(app(sK65(X0,X0),X0),sK66(X0,X0)) = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f6244]) ).
fof(f6244,plain,
! [X0] :
( app(app(sK65(X0,X0),X0),sK66(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f583,f457]) ).
fof(f6249,plain,
! [X0] :
( app(app(sK65(X0,nil),nil),sK66(X0,nil)) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6246,f397]) ).
fof(f6246,plain,
! [X0] :
( app(app(sK65(X0,nil),nil),sK66(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f6243]) ).
fof(f6243,plain,
! [X0] :
( app(app(sK65(X0,nil),nil),sK66(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f583,f453]) ).
fof(f6248,plain,
nil = app(app(sK65(nil,nil),nil),sK66(nil,nil)),
inference(subsumption_resolution,[],[f6247,f397]) ).
fof(f6247,plain,
( nil = app(app(sK65(nil,nil),nil),sK66(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f6242]) ).
fof(f6242,plain,
( nil = app(app(sK65(nil,nil),nil),sK66(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f583,f642]) ).
fof(f583,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK65(X0,X1),X1),sK66(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f6182,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK20 = tl(cons(sK24(sK67(X0,X1)),sK20))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f585]) ).
fof(f6181,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK20 = tl(cons(sK24(sK66(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f582]) ).
fof(f6180,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK20 = tl(cons(sK24(sK65(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f581]) ).
fof(f6171,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK20 = tl(cons(sK24(sK64(X0,X1)),sK20))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f578]) ).
fof(f6170,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK20 = tl(cons(sK24(sK63(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f566]) ).
fof(f6169,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK20 = tl(cons(sK24(sK62(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f565]) ).
fof(f6168,plain,
! [X0] :
( nil = sK61(X0)
| sK20 = tl(cons(sK24(sK61(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f957,f549]) ).
fof(f6167,plain,
! [X0] :
( nil = sK60(X0)
| sK20 = tl(cons(sK24(sK60(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f957,f548]) ).
fof(f6166,plain,
! [X0] :
( nil = sK59(X0)
| sK20 = tl(cons(sK24(sK59(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f957,f547]) ).
fof(f6165,plain,
! [X0] :
( nil = sK56(X0)
| sK20 = tl(cons(sK24(sK56(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f957,f538]) ).
fof(f6164,plain,
! [X0] :
( nil = sK55(X0)
| sK20 = tl(cons(sK24(sK55(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f957,f537]) ).
fof(f6163,plain,
! [X0] :
( nil = sK54(X0)
| sK20 = tl(cons(sK24(sK54(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f957,f536]) ).
fof(f6162,plain,
! [X0] :
( nil = sK51(X0)
| sK20 = tl(cons(sK24(sK51(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f957,f526]) ).
fof(f6161,plain,
! [X0] :
( nil = sK50(X0)
| sK20 = tl(cons(sK24(sK50(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f957,f525]) ).
fof(f6160,plain,
! [X0] :
( nil = sK49(X0)
| sK20 = tl(cons(sK24(sK49(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f957,f524]) ).
fof(f6159,plain,
! [X0] :
( nil = sK46(X0)
| sK20 = tl(cons(sK24(sK46(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f957,f514]) ).
fof(f6158,plain,
! [X0] :
( nil = sK45(X0)
| sK20 = tl(cons(sK24(sK45(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f957,f513]) ).
fof(f6157,plain,
! [X0] :
( nil = sK44(X0)
| sK20 = tl(cons(sK24(sK44(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f957,f512]) ).
fof(f6156,plain,
! [X0] :
( nil = sK41(X0)
| sK20 = tl(cons(sK24(sK41(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f957,f502]) ).
fof(f6155,plain,
! [X0] :
( nil = sK40(X0)
| sK20 = tl(cons(sK24(sK40(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f957,f501]) ).
fof(f6154,plain,
! [X0] :
( nil = sK39(X0)
| sK20 = tl(cons(sK24(sK39(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f957,f500]) ).
fof(f6153,plain,
! [X0] :
( nil = sK36(X0)
| sK20 = tl(cons(sK24(sK36(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f957,f491]) ).
fof(f6152,plain,
! [X0] :
( nil = sK35(X0)
| sK20 = tl(cons(sK24(sK35(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f957,f490]) ).
fof(f6151,plain,
! [X0] :
( nil = sK34(X0)
| sK20 = tl(cons(sK24(sK34(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f957,f489]) ).
fof(f6150,plain,
! [X0] :
( nil = sK31(X0)
| sK20 = tl(cons(sK24(sK31(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f957,f480]) ).
fof(f6149,plain,
! [X0] :
( nil = sK30(X0)
| sK20 = tl(cons(sK24(sK30(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f957,f479]) ).
fof(f6148,plain,
! [X0] :
( nil = sK26(X0)
| sK20 = tl(cons(sK24(sK26(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f957,f469]) ).
fof(f6146,plain,
! [X0] :
( nil = sK23(X0)
| sK20 = tl(cons(sK24(sK23(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f957,f461]) ).
fof(f6140,plain,
! [X0] :
( nil = tl(X0)
| sK20 = tl(cons(sK24(tl(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f957,f465]) ).
fof(f6138,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK20 = tl(cons(sK24(app(X0,X1)),sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f957,f569]) ).
fof(f6191,plain,
! [X0,X1] :
( sK20 = tl(cons(sK24(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6131,f560]) ).
fof(f6131,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK20 = tl(cons(sK24(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f957,f559]) ).
fof(f957,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK20 = tl(cons(sK24(X0),sK20)) ),
inference(resolution,[],[f907,f462]) ).
fof(f6057,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK20 = tl(cons(hd(sK67(X0,X1)),sK20))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f585]) ).
fof(f6056,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK20 = tl(cons(hd(sK66(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f582]) ).
fof(f6055,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK20 = tl(cons(hd(sK65(X0,X1)),sK20))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f581]) ).
fof(f6046,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK20 = tl(cons(hd(sK64(X0,X1)),sK20))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f578]) ).
fof(f6045,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK20 = tl(cons(hd(sK63(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f566]) ).
fof(f6044,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK20 = tl(cons(hd(sK62(X0,X1)),sK20))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f565]) ).
fof(f6043,plain,
! [X0] :
( nil = sK61(X0)
| sK20 = tl(cons(hd(sK61(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f956,f549]) ).
fof(f6042,plain,
! [X0] :
( nil = sK60(X0)
| sK20 = tl(cons(hd(sK60(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f956,f548]) ).
fof(f6041,plain,
! [X0] :
( nil = sK59(X0)
| sK20 = tl(cons(hd(sK59(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f956,f547]) ).
fof(f6040,plain,
! [X0] :
( nil = sK56(X0)
| sK20 = tl(cons(hd(sK56(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f956,f538]) ).
fof(f6039,plain,
! [X0] :
( nil = sK55(X0)
| sK20 = tl(cons(hd(sK55(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f956,f537]) ).
fof(f6038,plain,
! [X0] :
( nil = sK54(X0)
| sK20 = tl(cons(hd(sK54(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f956,f536]) ).
fof(f6037,plain,
! [X0] :
( nil = sK51(X0)
| sK20 = tl(cons(hd(sK51(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f956,f526]) ).
fof(f6036,plain,
! [X0] :
( nil = sK50(X0)
| sK20 = tl(cons(hd(sK50(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f956,f525]) ).
fof(f6035,plain,
! [X0] :
( nil = sK49(X0)
| sK20 = tl(cons(hd(sK49(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f956,f524]) ).
fof(f6034,plain,
! [X0] :
( nil = sK46(X0)
| sK20 = tl(cons(hd(sK46(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f956,f514]) ).
fof(f6033,plain,
! [X0] :
( nil = sK45(X0)
| sK20 = tl(cons(hd(sK45(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f956,f513]) ).
fof(f6032,plain,
! [X0] :
( nil = sK44(X0)
| sK20 = tl(cons(hd(sK44(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f956,f512]) ).
fof(f6031,plain,
! [X0] :
( nil = sK41(X0)
| sK20 = tl(cons(hd(sK41(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f956,f502]) ).
fof(f6030,plain,
! [X0] :
( nil = sK40(X0)
| sK20 = tl(cons(hd(sK40(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f956,f501]) ).
fof(f6029,plain,
! [X0] :
( nil = sK39(X0)
| sK20 = tl(cons(hd(sK39(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f956,f500]) ).
fof(f6028,plain,
! [X0] :
( nil = sK36(X0)
| sK20 = tl(cons(hd(sK36(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f956,f491]) ).
fof(f6027,plain,
! [X0] :
( nil = sK35(X0)
| sK20 = tl(cons(hd(sK35(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f956,f490]) ).
fof(f6026,plain,
! [X0] :
( nil = sK34(X0)
| sK20 = tl(cons(hd(sK34(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f956,f489]) ).
fof(f6025,plain,
! [X0] :
( nil = sK31(X0)
| sK20 = tl(cons(hd(sK31(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f956,f480]) ).
fof(f6024,plain,
! [X0] :
( nil = sK30(X0)
| sK20 = tl(cons(hd(sK30(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f956,f479]) ).
fof(f6023,plain,
! [X0] :
( nil = sK26(X0)
| sK20 = tl(cons(hd(sK26(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f469]) ).
fof(f6021,plain,
! [X0] :
( nil = sK23(X0)
| sK20 = tl(cons(hd(sK23(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f461]) ).
fof(f6015,plain,
! [X0] :
( nil = tl(X0)
| sK20 = tl(cons(hd(tl(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f465]) ).
fof(f6013,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK20 = tl(cons(hd(app(X0,X1)),sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f569]) ).
fof(f6066,plain,
! [X0,X1] :
( sK20 = tl(cons(hd(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6006,f560]) ).
fof(f6006,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK20 = tl(cons(hd(cons(X0,X1)),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f956,f559]) ).
fof(f956,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK20 = tl(cons(hd(X0),sK20)) ),
inference(resolution,[],[f907,f464]) ).
fof(f6003,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f5985,f569]) ).
fof(f5985,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5984]) ).
fof(f5984,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f567,f451]) ).
fof(f6002,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f5986,f569]) ).
fof(f5986,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5983]) ).
fof(f5983,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK62(app(X0,X1),X2),cons(X2,sK63(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f567,f452]) ).
fof(f5993,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X2),cons(X2,sK63(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f5990,f559]) ).
fof(f5990,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X2),cons(X2,sK63(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f5977]) ).
fof(f5977,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X2),cons(X2,sK63(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f567,f430]) ).
fof(f5992,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X0),cons(X0,sK63(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f5991,f559]) ).
fof(f5991,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X0),cons(X0,sK63(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f5976]) ).
fof(f5976,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK62(cons(X0,X1),X0),cons(X0,sK63(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f567,f639]) ).
fof(f567,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f5854,plain,
! [X0] :
( app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),sK61(X0))) = X0
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f550,f656]) ).
fof(f550,plain,
! [X0] :
( sP17(X0)
| app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),sK61(X0))) = X0 ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( sP17(X0)
| ( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),sK61(X0))) = X0
& ssList(sK61(X0))
& ssList(sK60(X0))
& ssList(sK59(X0))
& ssItem(sK58(X0))
& ssItem(sK57(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP17(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60,sK61])],[f344,f349,f348,f347,f346,f345]) ).
fof(f345,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),X2)
& app(app(X3,cons(sK57(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),X2)
& app(app(X3,cons(sK57(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(X3,cons(sK57(X0),X4)),cons(sK58(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(X3,cons(sK57(X0),X4)),cons(sK58(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),X4)),cons(sK58(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),X4)),cons(sK58(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),X5)) = X0
& ssList(X5) )
& ssList(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK57(X0),sK58(X0))
& app(app(sK59(X0),cons(sK57(X0),sK60(X0))),cons(sK58(X0),sK61(X0))) = X0
& ssList(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ( sP17(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP17(X0) ) ),
inference(rectify,[],[f343]) ).
fof(f343,plain,
! [X0] :
( ( sP17(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP17(X0) ) ),
inference(nnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP17(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f5763,plain,
! [X0,X1] :
( hd(sK67(X0,X1)) = hd(app(sK67(X0,X1),sK20))
| nil = sK67(X0,X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f585]) ).
fof(f5762,plain,
! [X0,X1] :
( hd(sK66(X0,X1)) = hd(app(sK66(X0,X1),sK20))
| nil = sK66(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f582]) ).
fof(f5761,plain,
! [X0,X1] :
( hd(sK65(X0,X1)) = hd(app(sK65(X0,X1),sK20))
| nil = sK65(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f581]) ).
fof(f5752,plain,
! [X0,X1] :
( hd(sK64(X0,X1)) = hd(app(sK64(X0,X1),sK20))
| nil = sK64(X0,X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f578]) ).
fof(f5751,plain,
! [X0,X1] :
( hd(sK63(X0,X1)) = hd(app(sK63(X0,X1),sK20))
| nil = sK63(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f566]) ).
fof(f5750,plain,
! [X0,X1] :
( hd(sK62(X0,X1)) = hd(app(sK62(X0,X1),sK20))
| nil = sK62(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f565]) ).
fof(f5749,plain,
! [X0] :
( hd(sK61(X0)) = hd(app(sK61(X0),sK20))
| nil = sK61(X0)
| sP17(X0) ),
inference(resolution,[],[f2522,f549]) ).
fof(f5748,plain,
! [X0] :
( hd(sK60(X0)) = hd(app(sK60(X0),sK20))
| nil = sK60(X0)
| sP17(X0) ),
inference(resolution,[],[f2522,f548]) ).
fof(f5747,plain,
! [X0] :
( hd(sK59(X0)) = hd(app(sK59(X0),sK20))
| nil = sK59(X0)
| sP17(X0) ),
inference(resolution,[],[f2522,f547]) ).
fof(f5746,plain,
! [X0] :
( hd(sK56(X0)) = hd(app(sK56(X0),sK20))
| nil = sK56(X0)
| sP15(X0) ),
inference(resolution,[],[f2522,f538]) ).
fof(f5745,plain,
! [X0] :
( hd(sK55(X0)) = hd(app(sK55(X0),sK20))
| nil = sK55(X0)
| sP15(X0) ),
inference(resolution,[],[f2522,f537]) ).
fof(f5744,plain,
! [X0] :
( hd(sK54(X0)) = hd(app(sK54(X0),sK20))
| nil = sK54(X0)
| sP15(X0) ),
inference(resolution,[],[f2522,f536]) ).
fof(f5743,plain,
! [X0] :
( hd(sK51(X0)) = hd(app(sK51(X0),sK20))
| nil = sK51(X0)
| sP13(X0) ),
inference(resolution,[],[f2522,f526]) ).
fof(f5742,plain,
! [X0] :
( hd(sK50(X0)) = hd(app(sK50(X0),sK20))
| nil = sK50(X0)
| sP13(X0) ),
inference(resolution,[],[f2522,f525]) ).
fof(f5741,plain,
! [X0] :
( hd(sK49(X0)) = hd(app(sK49(X0),sK20))
| nil = sK49(X0)
| sP13(X0) ),
inference(resolution,[],[f2522,f524]) ).
fof(f5740,plain,
! [X0] :
( hd(sK46(X0)) = hd(app(sK46(X0),sK20))
| nil = sK46(X0)
| sP11(X0) ),
inference(resolution,[],[f2522,f514]) ).
fof(f5739,plain,
! [X0] :
( hd(sK45(X0)) = hd(app(sK45(X0),sK20))
| nil = sK45(X0)
| sP11(X0) ),
inference(resolution,[],[f2522,f513]) ).
fof(f5738,plain,
! [X0] :
( hd(sK44(X0)) = hd(app(sK44(X0),sK20))
| nil = sK44(X0)
| sP11(X0) ),
inference(resolution,[],[f2522,f512]) ).
fof(f5737,plain,
! [X0] :
( hd(sK41(X0)) = hd(app(sK41(X0),sK20))
| nil = sK41(X0)
| sP9(X0) ),
inference(resolution,[],[f2522,f502]) ).
fof(f5736,plain,
! [X0] :
( hd(sK40(X0)) = hd(app(sK40(X0),sK20))
| nil = sK40(X0)
| sP9(X0) ),
inference(resolution,[],[f2522,f501]) ).
fof(f5735,plain,
! [X0] :
( hd(sK39(X0)) = hd(app(sK39(X0),sK20))
| nil = sK39(X0)
| sP9(X0) ),
inference(resolution,[],[f2522,f500]) ).
fof(f5734,plain,
! [X0] :
( hd(sK36(X0)) = hd(app(sK36(X0),sK20))
| nil = sK36(X0)
| sP7(X0) ),
inference(resolution,[],[f2522,f491]) ).
fof(f5733,plain,
! [X0] :
( hd(sK35(X0)) = hd(app(sK35(X0),sK20))
| nil = sK35(X0)
| sP7(X0) ),
inference(resolution,[],[f2522,f490]) ).
fof(f5732,plain,
! [X0] :
( hd(sK34(X0)) = hd(app(sK34(X0),sK20))
| nil = sK34(X0)
| sP7(X0) ),
inference(resolution,[],[f2522,f489]) ).
fof(f5731,plain,
! [X0] :
( hd(sK31(X0)) = hd(app(sK31(X0),sK20))
| nil = sK31(X0)
| sP5(X0) ),
inference(resolution,[],[f2522,f480]) ).
fof(f5730,plain,
! [X0] :
( hd(sK30(X0)) = hd(app(sK30(X0),sK20))
| nil = sK30(X0)
| sP5(X0) ),
inference(resolution,[],[f2522,f479]) ).
fof(f5729,plain,
! [X0] :
( hd(sK26(X0)) = hd(app(sK26(X0),sK20))
| nil = sK26(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f469]) ).
fof(f5727,plain,
! [X0] :
( hd(sK23(X0)) = hd(app(sK23(X0),sK20))
| nil = sK23(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f461]) ).
fof(f5721,plain,
! [X0] :
( hd(tl(X0)) = hd(app(tl(X0),sK20))
| nil = tl(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f465]) ).
fof(f5719,plain,
! [X0,X1] :
( hd(app(X0,X1)) = hd(app(app(X0,X1),sK20))
| nil = app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2522,f569]) ).
fof(f5772,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK20))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f5712,f560]) ).
fof(f5712,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK20))
| nil = cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2522,f559]) ).
fof(f2522,plain,
! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK20))
| nil = X0 ),
inference(resolution,[],[f570,f382]) ).
fof(f5709,plain,
! [X0] :
( app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),sK56(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f539,f654]) ).
fof(f539,plain,
! [X0] :
( sP15(X0)
| app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),sK56(X0))) = X0 ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ( sP15(X0)
| ( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),sK56(X0))) = X0
& ssList(sK56(X0))
& ssList(sK55(X0))
& ssList(sK54(X0))
& ssItem(sK53(X0))
& ssItem(sK52(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP15(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53,sK54,sK55,sK56])],[f335,f340,f339,f338,f337,f336]) ).
fof(f336,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),X2)
& app(app(X3,cons(sK52(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),X2)
& app(app(X3,cons(sK52(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(X3,cons(sK52(X0),X4)),cons(sK53(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(X3,cons(sK52(X0),X4)),cons(sK53(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),X4)),cons(sK53(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),X4)),cons(sK53(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),X5)) = X0
& ssList(X5) )
& ssList(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK52(X0),sK53(X0))
& app(app(sK54(X0),cons(sK52(X0),sK55(X0))),cons(sK53(X0),sK56(X0))) = X0
& ssList(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ( sP15(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP15(X0) ) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ( sP15(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP15(X0) ) ),
inference(nnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP15(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f527,plain,
! [X0] :
( sP13(X0)
| app(app(sK49(X0),cons(sK47(X0),sK50(X0))),cons(sK48(X0),sK51(X0))) = X0 ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ( sP13(X0)
| ( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),sK50(X0))),cons(sK48(X0),sK51(X0))) = X0
& ssList(sK51(X0))
& ssList(sK50(X0))
& ssList(sK49(X0))
& ssItem(sK48(X0))
& ssItem(sK47(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP13(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51])],[f326,f331,f330,f329,f328,f327]) ).
fof(f327,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK47(X0))
& leq(sK47(X0),X2)
& app(app(X3,cons(sK47(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f328,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK47(X0))
& leq(sK47(X0),X2)
& app(app(X3,cons(sK47(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(X3,cons(sK47(X0),X4)),cons(sK48(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(X3,cons(sK47(X0),X4)),cons(sK48(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),X4)),cons(sK48(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),X4)),cons(sK48(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),sK50(X0))),cons(sK48(X0),X5)) = X0
& ssList(X5) )
& ssList(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ? [X5] :
( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),sK50(X0))),cons(sK48(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK48(X0),sK47(X0))
& leq(sK47(X0),sK48(X0))
& app(app(sK49(X0),cons(sK47(X0),sK50(X0))),cons(sK48(X0),sK51(X0))) = X0
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ( sP13(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP13(X0) ) ),
inference(rectify,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ( sP13(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP13(X0) ) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP13(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f515,plain,
! [X0] :
( sP11(X0)
| app(app(sK44(X0),cons(sK42(X0),sK45(X0))),cons(sK43(X0),sK46(X0))) = X0 ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ( sP11(X0)
| ( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),sK45(X0))),cons(sK43(X0),sK46(X0))) = X0
& ssList(sK46(X0))
& ssList(sK45(X0))
& ssList(sK44(X0))
& ssItem(sK43(X0))
& ssItem(sK42(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP11(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45,sK46])],[f317,f322,f321,f320,f319,f318]) ).
fof(f318,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK42(X0))
& ~ lt(sK42(X0),X2)
& app(app(X3,cons(sK42(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK42(X0))
& ~ lt(sK42(X0),X2)
& app(app(X3,cons(sK42(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(X3,cons(sK42(X0),X4)),cons(sK43(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(X3,cons(sK42(X0),X4)),cons(sK43(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),X4)),cons(sK43(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),X4)),cons(sK43(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),sK45(X0))),cons(sK43(X0),X5)) = X0
& ssList(X5) )
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),sK45(X0))),cons(sK43(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK43(X0),sK42(X0))
& ~ lt(sK42(X0),sK43(X0))
& app(app(sK44(X0),cons(sK42(X0),sK45(X0))),cons(sK43(X0),sK46(X0))) = X0
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ( sP11(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP11(X0) ) ),
inference(rectify,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ( sP11(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP11(X0) ) ),
inference(nnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP11(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f503,plain,
! [X0] :
( sP9(X0)
| app(app(sK39(X0),cons(sK37(X0),sK40(X0))),cons(sK38(X0),sK41(X0))) = X0 ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( sP9(X0)
| ( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),sK40(X0))),cons(sK38(X0),sK41(X0))) = X0
& ssList(sK41(X0))
& ssList(sK40(X0))
& ssList(sK39(X0))
& ssItem(sK38(X0))
& ssItem(sK37(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP9(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41])],[f308,f313,f312,f311,f310,f309]) ).
fof(f309,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK37(X0))
& ~ leq(sK37(X0),X2)
& app(app(X3,cons(sK37(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK37(X0))
& ~ leq(sK37(X0),X2)
& app(app(X3,cons(sK37(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(X3,cons(sK37(X0),X4)),cons(sK38(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(X3,cons(sK37(X0),X4)),cons(sK38(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),X4)),cons(sK38(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),X4)),cons(sK38(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),sK40(X0))),cons(sK38(X0),X5)) = X0
& ssList(X5) )
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),sK40(X0))),cons(sK38(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK38(X0),sK37(X0))
& ~ leq(sK37(X0),sK38(X0))
& app(app(sK39(X0),cons(sK37(X0),sK40(X0))),cons(sK38(X0),sK41(X0))) = X0
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ( sP9(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP9(X0) ) ),
inference(rectify,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( sP9(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP9(X0) ) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP9(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f492,plain,
! [X0] :
( sP7(X0)
| app(app(sK34(X0),cons(sK32(X0),sK35(X0))),cons(sK33(X0),sK36(X0))) = X0 ),
inference(cnf_transformation,[],[f305]) ).
fof(f5328,plain,
! [X0,X1] :
( sK67(X0,X1) = app(nil,sK67(sK67(X0,X1),nil))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f585]) ).
fof(f5327,plain,
! [X0,X1] :
( sK66(X0,X1) = app(nil,sK67(sK66(X0,X1),nil))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f582]) ).
fof(f5326,plain,
! [X0,X1] :
( sK65(X0,X1) = app(nil,sK67(sK65(X0,X1),nil))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f581]) ).
fof(f5317,plain,
! [X0,X1] :
( sK64(X0,X1) = app(nil,sK67(sK64(X0,X1),nil))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f578]) ).
fof(f5316,plain,
! [X0,X1] :
( sK63(X0,X1) = app(nil,sK67(sK63(X0,X1),nil))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f566]) ).
fof(f5315,plain,
! [X0,X1] :
( sK62(X0,X1) = app(nil,sK67(sK62(X0,X1),nil))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f565]) ).
fof(f5314,plain,
! [X0] :
( sK61(X0) = app(nil,sK67(sK61(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f2711,f549]) ).
fof(f5313,plain,
! [X0] :
( sK60(X0) = app(nil,sK67(sK60(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f2711,f548]) ).
fof(f5312,plain,
! [X0] :
( sK59(X0) = app(nil,sK67(sK59(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f2711,f547]) ).
fof(f5311,plain,
! [X0] :
( sK56(X0) = app(nil,sK67(sK56(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f2711,f538]) ).
fof(f5310,plain,
! [X0] :
( sK55(X0) = app(nil,sK67(sK55(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f2711,f537]) ).
fof(f5309,plain,
! [X0] :
( sK54(X0) = app(nil,sK67(sK54(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f2711,f536]) ).
fof(f5308,plain,
! [X0] :
( sK51(X0) = app(nil,sK67(sK51(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f2711,f526]) ).
fof(f5307,plain,
! [X0] :
( sK50(X0) = app(nil,sK67(sK50(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f2711,f525]) ).
fof(f5306,plain,
! [X0] :
( sK49(X0) = app(nil,sK67(sK49(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f2711,f524]) ).
fof(f5305,plain,
! [X0] :
( sK46(X0) = app(nil,sK67(sK46(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f2711,f514]) ).
fof(f5304,plain,
! [X0] :
( sK45(X0) = app(nil,sK67(sK45(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f2711,f513]) ).
fof(f5303,plain,
! [X0] :
( sK44(X0) = app(nil,sK67(sK44(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f2711,f512]) ).
fof(f5302,plain,
! [X0] :
( sK41(X0) = app(nil,sK67(sK41(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f2711,f502]) ).
fof(f5301,plain,
! [X0] :
( sK40(X0) = app(nil,sK67(sK40(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f2711,f501]) ).
fof(f5300,plain,
! [X0] :
( sK39(X0) = app(nil,sK67(sK39(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f2711,f500]) ).
fof(f5299,plain,
! [X0] :
( sK36(X0) = app(nil,sK67(sK36(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f2711,f491]) ).
fof(f5298,plain,
! [X0] :
( sK35(X0) = app(nil,sK67(sK35(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f2711,f490]) ).
fof(f5297,plain,
! [X0] :
( sK34(X0) = app(nil,sK67(sK34(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f2711,f489]) ).
fof(f5296,plain,
! [X0] :
( sK31(X0) = app(nil,sK67(sK31(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f2711,f480]) ).
fof(f5295,plain,
! [X0] :
( sK30(X0) = app(nil,sK67(sK30(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f2711,f479]) ).
fof(f5294,plain,
! [X0] :
( sK26(X0) = app(nil,sK67(sK26(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f469]) ).
fof(f5292,plain,
! [X0] :
( sK23(X0) = app(nil,sK67(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f461]) ).
fof(f5286,plain,
! [X0] :
( tl(X0) = app(nil,sK67(tl(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f465]) ).
fof(f5284,plain,
! [X0,X1] :
( app(X0,X1) = app(nil,sK67(app(X0,X1),nil))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2711,f569]) ).
fof(f5277,plain,
! [X0,X1] :
( cons(X0,X1) = app(nil,sK67(cons(X0,X1),nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2711,f559]) ).
fof(f2711,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,sK67(X0,nil)) = X0 ),
inference(subsumption_resolution,[],[f2709,f397]) ).
fof(f2709,plain,
! [X0] :
( app(nil,sK67(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2701]) ).
fof(f2701,plain,
! [X0] :
( app(nil,sK67(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f586,f456]) ).
fof(f5236,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK67(X0,X1),sK67(sK67(X0,X1),sK67(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f585]) ).
fof(f5235,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK66(X0,X1),sK67(sK66(X0,X1),sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f582]) ).
fof(f5234,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK65(X0,X1),sK67(sK65(X0,X1),sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f581]) ).
fof(f5225,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK64(X0,X1),sK67(sK64(X0,X1),sK64(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f578]) ).
fof(f5224,plain,
! [X0,X1] :
( sK63(X0,X1) = app(sK63(X0,X1),sK67(sK63(X0,X1),sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f566]) ).
fof(f5223,plain,
! [X0,X1] :
( sK62(X0,X1) = app(sK62(X0,X1),sK67(sK62(X0,X1),sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f565]) ).
fof(f5222,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),sK67(sK61(X0),sK61(X0)))
| sP17(X0) ),
inference(resolution,[],[f2710,f549]) ).
fof(f5221,plain,
! [X0] :
( sK60(X0) = app(sK60(X0),sK67(sK60(X0),sK60(X0)))
| sP17(X0) ),
inference(resolution,[],[f2710,f548]) ).
fof(f5220,plain,
! [X0] :
( sK59(X0) = app(sK59(X0),sK67(sK59(X0),sK59(X0)))
| sP17(X0) ),
inference(resolution,[],[f2710,f547]) ).
fof(f5219,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),sK67(sK56(X0),sK56(X0)))
| sP15(X0) ),
inference(resolution,[],[f2710,f538]) ).
fof(f5218,plain,
! [X0] :
( sK55(X0) = app(sK55(X0),sK67(sK55(X0),sK55(X0)))
| sP15(X0) ),
inference(resolution,[],[f2710,f537]) ).
fof(f5217,plain,
! [X0] :
( sK54(X0) = app(sK54(X0),sK67(sK54(X0),sK54(X0)))
| sP15(X0) ),
inference(resolution,[],[f2710,f536]) ).
fof(f5216,plain,
! [X0] :
( sK51(X0) = app(sK51(X0),sK67(sK51(X0),sK51(X0)))
| sP13(X0) ),
inference(resolution,[],[f2710,f526]) ).
fof(f5215,plain,
! [X0] :
( sK50(X0) = app(sK50(X0),sK67(sK50(X0),sK50(X0)))
| sP13(X0) ),
inference(resolution,[],[f2710,f525]) ).
fof(f5214,plain,
! [X0] :
( sK49(X0) = app(sK49(X0),sK67(sK49(X0),sK49(X0)))
| sP13(X0) ),
inference(resolution,[],[f2710,f524]) ).
fof(f5213,plain,
! [X0] :
( sK46(X0) = app(sK46(X0),sK67(sK46(X0),sK46(X0)))
| sP11(X0) ),
inference(resolution,[],[f2710,f514]) ).
fof(f5212,plain,
! [X0] :
( sK45(X0) = app(sK45(X0),sK67(sK45(X0),sK45(X0)))
| sP11(X0) ),
inference(resolution,[],[f2710,f513]) ).
fof(f5211,plain,
! [X0] :
( sK44(X0) = app(sK44(X0),sK67(sK44(X0),sK44(X0)))
| sP11(X0) ),
inference(resolution,[],[f2710,f512]) ).
fof(f5210,plain,
! [X0] :
( sK41(X0) = app(sK41(X0),sK67(sK41(X0),sK41(X0)))
| sP9(X0) ),
inference(resolution,[],[f2710,f502]) ).
fof(f5209,plain,
! [X0] :
( sK40(X0) = app(sK40(X0),sK67(sK40(X0),sK40(X0)))
| sP9(X0) ),
inference(resolution,[],[f2710,f501]) ).
fof(f5208,plain,
! [X0] :
( sK39(X0) = app(sK39(X0),sK67(sK39(X0),sK39(X0)))
| sP9(X0) ),
inference(resolution,[],[f2710,f500]) ).
fof(f5207,plain,
! [X0] :
( sK36(X0) = app(sK36(X0),sK67(sK36(X0),sK36(X0)))
| sP7(X0) ),
inference(resolution,[],[f2710,f491]) ).
fof(f5206,plain,
! [X0] :
( sK35(X0) = app(sK35(X0),sK67(sK35(X0),sK35(X0)))
| sP7(X0) ),
inference(resolution,[],[f2710,f490]) ).
fof(f5205,plain,
! [X0] :
( sK34(X0) = app(sK34(X0),sK67(sK34(X0),sK34(X0)))
| sP7(X0) ),
inference(resolution,[],[f2710,f489]) ).
fof(f5204,plain,
! [X0] :
( sK31(X0) = app(sK31(X0),sK67(sK31(X0),sK31(X0)))
| sP5(X0) ),
inference(resolution,[],[f2710,f480]) ).
fof(f5203,plain,
! [X0] :
( sK30(X0) = app(sK30(X0),sK67(sK30(X0),sK30(X0)))
| sP5(X0) ),
inference(resolution,[],[f2710,f479]) ).
fof(f5202,plain,
! [X0] :
( sK26(X0) = app(sK26(X0),sK67(sK26(X0),sK26(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f469]) ).
fof(f5200,plain,
! [X0] :
( sK23(X0) = app(sK23(X0),sK67(sK23(X0),sK23(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f461]) ).
fof(f5194,plain,
! [X0] :
( tl(X0) = app(tl(X0),sK67(tl(X0),tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f465]) ).
fof(f5192,plain,
! [X0,X1] :
( app(X0,X1) = app(app(X0,X1),sK67(app(X0,X1),app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2710,f569]) ).
fof(f5185,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,X1),sK67(cons(X0,X1),cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2710,f559]) ).
fof(f2710,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sK67(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2700]) ).
fof(f2700,plain,
! [X0] :
( app(X0,sK67(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f586,f455]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f4886,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK67(X2,X3)) = app(X0,app(X1,sK67(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f585]) ).
fof(f4885,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f582]) ).
fof(f4884,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f581]) ).
fof(f4879,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f578]) ).
fof(f4878,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f566]) ).
fof(f4877,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK62(X2,X3)) = app(X0,app(X1,sK62(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f565]) ).
fof(f4876,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK61(X2)) = app(X0,app(X1,sK61(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(X2) ),
inference(resolution,[],[f594,f549]) ).
fof(f4875,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(X2) ),
inference(resolution,[],[f594,f548]) ).
fof(f4874,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK59(X2)) = app(X0,app(X1,sK59(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(X2) ),
inference(resolution,[],[f594,f547]) ).
fof(f4873,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK56(X2)) = app(X0,app(X1,sK56(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(X2) ),
inference(resolution,[],[f594,f538]) ).
fof(f4872,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(X2) ),
inference(resolution,[],[f594,f537]) ).
fof(f4871,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK54(X2)) = app(X0,app(X1,sK54(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(X2) ),
inference(resolution,[],[f594,f536]) ).
fof(f4870,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK51(X2)) = app(X0,app(X1,sK51(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(X2) ),
inference(resolution,[],[f594,f526]) ).
fof(f4869,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(X2) ),
inference(resolution,[],[f594,f525]) ).
fof(f4868,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK49(X2)) = app(X0,app(X1,sK49(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(X2) ),
inference(resolution,[],[f594,f524]) ).
fof(f4867,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK46(X2)) = app(X0,app(X1,sK46(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(X2) ),
inference(resolution,[],[f594,f514]) ).
fof(f4866,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(X2) ),
inference(resolution,[],[f594,f513]) ).
fof(f4865,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK44(X2)) = app(X0,app(X1,sK44(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(X2) ),
inference(resolution,[],[f594,f512]) ).
fof(f4864,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK41(X2)) = app(X0,app(X1,sK41(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(X2) ),
inference(resolution,[],[f594,f502]) ).
fof(f4863,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(X2) ),
inference(resolution,[],[f594,f501]) ).
fof(f4862,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK39(X2)) = app(X0,app(X1,sK39(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(X2) ),
inference(resolution,[],[f594,f500]) ).
fof(f4861,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK36(X2)) = app(X0,app(X1,sK36(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(X2) ),
inference(resolution,[],[f594,f491]) ).
fof(f4860,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(X2) ),
inference(resolution,[],[f594,f490]) ).
fof(f4859,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK34(X2)) = app(X0,app(X1,sK34(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(X2) ),
inference(resolution,[],[f594,f489]) ).
fof(f4858,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK31(X2)) = app(X0,app(X1,sK31(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(X2) ),
inference(resolution,[],[f594,f480]) ).
fof(f4857,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK30(X2)) = app(X0,app(X1,sK30(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(X2) ),
inference(resolution,[],[f594,f479]) ).
fof(f4856,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK26(X2)) = app(X0,app(X1,sK26(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f594,f469]) ).
fof(f4854,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK23(X2)) = app(X0,app(X1,sK23(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f594,f461]) ).
fof(f4893,plain,
! [X0,X1] :
( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4853,f385]) ).
fof(f4853,plain,
! [X0,X1] :
( app(app(X0,X1),sK22) = app(X0,app(X1,sK22))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f594,f384]) ).
fof(f4851,plain,
! [X0,X1] :
( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f594,f382]) ).
fof(f4848,plain,
! [X2,X0,X1] :
( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f594,f465]) ).
fof(f4847,plain,
! [X0,X1] :
( app(app(X0,X1),nil) = app(X0,app(X1,nil))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f594,f397]) ).
fof(f4846,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f569]) ).
fof(f4839,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(resolution,[],[f594,f559]) ).
fof(f594,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f4749,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK67(X1,X2),X3)) = app(cons(X0,sK67(X1,X2)),X3)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f585]) ).
fof(f4748,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f582]) ).
fof(f4747,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f581]) ).
fof(f4742,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f578]) ).
fof(f4741,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f566]) ).
fof(f4740,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK62(X1,X2),X3)) = app(cons(X0,sK62(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f565]) ).
fof(f4739,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK61(X1),X2)) = app(cons(X0,sK61(X1)),X2)
| ~ ssList(X2)
| sP17(X1) ),
inference(resolution,[],[f591,f549]) ).
fof(f4738,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
| ~ ssList(X2)
| sP17(X1) ),
inference(resolution,[],[f591,f548]) ).
fof(f4737,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK59(X1),X2)) = app(cons(X0,sK59(X1)),X2)
| ~ ssList(X2)
| sP17(X1) ),
inference(resolution,[],[f591,f547]) ).
fof(f4736,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK56(X1),X2)) = app(cons(X0,sK56(X1)),X2)
| ~ ssList(X2)
| sP15(X1) ),
inference(resolution,[],[f591,f538]) ).
fof(f4735,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
| ~ ssList(X2)
| sP15(X1) ),
inference(resolution,[],[f591,f537]) ).
fof(f4734,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK54(X1),X2)) = app(cons(X0,sK54(X1)),X2)
| ~ ssList(X2)
| sP15(X1) ),
inference(resolution,[],[f591,f536]) ).
fof(f4733,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK51(X1),X2)) = app(cons(X0,sK51(X1)),X2)
| ~ ssList(X2)
| sP13(X1) ),
inference(resolution,[],[f591,f526]) ).
fof(f4732,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
| ~ ssList(X2)
| sP13(X1) ),
inference(resolution,[],[f591,f525]) ).
fof(f4731,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK49(X1),X2)) = app(cons(X0,sK49(X1)),X2)
| ~ ssList(X2)
| sP13(X1) ),
inference(resolution,[],[f591,f524]) ).
fof(f4730,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK46(X1),X2)) = app(cons(X0,sK46(X1)),X2)
| ~ ssList(X2)
| sP11(X1) ),
inference(resolution,[],[f591,f514]) ).
fof(f4729,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
| ~ ssList(X2)
| sP11(X1) ),
inference(resolution,[],[f591,f513]) ).
fof(f4728,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK44(X1),X2)) = app(cons(X0,sK44(X1)),X2)
| ~ ssList(X2)
| sP11(X1) ),
inference(resolution,[],[f591,f512]) ).
fof(f4727,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK41(X1),X2)) = app(cons(X0,sK41(X1)),X2)
| ~ ssList(X2)
| sP9(X1) ),
inference(resolution,[],[f591,f502]) ).
fof(f4726,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
| ~ ssList(X2)
| sP9(X1) ),
inference(resolution,[],[f591,f501]) ).
fof(f4725,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK39(X1),X2)) = app(cons(X0,sK39(X1)),X2)
| ~ ssList(X2)
| sP9(X1) ),
inference(resolution,[],[f591,f500]) ).
fof(f4724,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK36(X1),X2)) = app(cons(X0,sK36(X1)),X2)
| ~ ssList(X2)
| sP7(X1) ),
inference(resolution,[],[f591,f491]) ).
fof(f4723,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
| ~ ssList(X2)
| sP7(X1) ),
inference(resolution,[],[f591,f490]) ).
fof(f4722,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK34(X1),X2)) = app(cons(X0,sK34(X1)),X2)
| ~ ssList(X2)
| sP7(X1) ),
inference(resolution,[],[f591,f489]) ).
fof(f4721,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK31(X1),X2)) = app(cons(X0,sK31(X1)),X2)
| ~ ssList(X2)
| sP5(X1) ),
inference(resolution,[],[f591,f480]) ).
fof(f4720,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK30(X1),X2)) = app(cons(X0,sK30(X1)),X2)
| ~ ssList(X2)
| sP5(X1) ),
inference(resolution,[],[f591,f479]) ).
fof(f4719,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK26(X1),X2)) = app(cons(X0,sK26(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f591,f469]) ).
fof(f4717,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK23(X1),X2)) = app(cons(X0,sK23(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f591,f461]) ).
fof(f4756,plain,
! [X0,X1] :
( cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f4716,f385]) ).
fof(f4716,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK22,X1)) = app(cons(X0,sK22),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f384]) ).
fof(f4714,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f382]) ).
fof(f4711,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f591,f465]) ).
fof(f4710,plain,
! [X0,X1] :
( ~ ssItem(X0)
| app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
| ~ ssList(X1) ),
inference(resolution,[],[f591,f397]) ).
fof(f4709,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f591,f569]) ).
fof(f4702,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f591,f559]) ).
fof(f591,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f4258,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4257,f397]) ).
fof(f4257,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4149,f382]) ).
fof(f4149,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f598,f704]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f4236,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4235,f382]) ).
fof(f4235,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4139,f397]) ).
fof(f4139,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(superposition,[],[f598,f677]) ).
fof(f4451,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4450,f559]) ).
fof(f4450,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X1)) ),
inference(subsumption_resolution,[],[f4439,f559]) ).
fof(f4439,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1)) ),
inference(resolution,[],[f638,f575]) ).
fof(f4449,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK67(cons(X2,X0),cons(X2,X1))) ),
inference(subsumption_resolution,[],[f4448,f559]) ).
fof(f4448,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK67(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4438,f559]) ).
fof(f4438,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK67(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0)) ),
inference(resolution,[],[f638,f586]) ).
fof(f4447,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f4446,f559]) ).
fof(f4446,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f4437,f559]) ).
fof(f4437,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) ),
inference(resolution,[],[f638,f601]) ).
fof(f638,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f611,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f3968,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3967,f382]) ).
fof(f3967,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3857,f397]) ).
fof(f3857,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(superposition,[],[f597,f704]) ).
fof(f3945,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3944,f397]) ).
fof(f3944,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3847,f382]) ).
fof(f3847,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f597,f677]) ).
fof(f4353,plain,
! [X0] :
( nil != app(nil,X0)
| sK67(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK67(nil,nil)) ),
inference(subsumption_resolution,[],[f4197,f397]) ).
fof(f4197,plain,
! [X0] :
( nil != app(nil,X0)
| sK67(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK67(nil,nil)) ),
inference(superposition,[],[f598,f2719]) ).
fof(f4336,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4335,f382]) ).
fof(f4335,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f4188,f397]) ).
fof(f4188,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK20) ),
inference(superposition,[],[f598,f704]) ).
fof(f4314,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4313,f397]) ).
fof(f4313,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4178,f382]) ).
fof(f4178,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(nil) ),
inference(superposition,[],[f598,f677]) ).
fof(f4275,plain,
! [X0] :
( nil != app(nil,X0)
| sK67(nil,nil) = X0
| ~ ssList(sK67(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4158,f397]) ).
fof(f4158,plain,
! [X0] :
( nil != app(nil,X0)
| sK67(nil,nil) = X0
| ~ ssList(sK67(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f598,f2719]) ).
fof(f598,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f4046,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4045,f397]) ).
fof(f4045,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3896,f382]) ).
fof(f3896,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(nil) ),
inference(superposition,[],[f597,f704]) ).
fof(f4028,plain,
! [X0] :
( nil != app(X0,nil)
| sK64(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK64(nil,nil)) ),
inference(subsumption_resolution,[],[f3888,f397]) ).
fof(f3888,plain,
! [X0] :
( nil != app(X0,nil)
| sK64(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK64(nil,nil)) ),
inference(superposition,[],[f597,f2605]) ).
fof(f4023,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4022,f382]) ).
fof(f4022,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f3886,f397]) ).
fof(f3886,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK20) ),
inference(superposition,[],[f597,f677]) ).
fof(f3950,plain,
! [X0] :
( nil != app(X0,nil)
| sK64(nil,nil) = X0
| ~ ssList(sK64(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3849,f397]) ).
fof(f3849,plain,
! [X0] :
( nil != app(X0,nil)
| sK64(nil,nil) = X0
| ~ ssList(sK64(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f597,f2605]) ).
fof(f597,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f3712,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK67(X1,X2))) = app(tl(X0),sK67(X1,X2))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f585]) ).
fof(f3711,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f582]) ).
fof(f3710,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f581]) ).
fof(f3706,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f578]) ).
fof(f3705,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f566]) ).
fof(f3704,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK62(X1,X2))) = app(tl(X0),sK62(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f565]) ).
fof(f3703,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK61(X1))) = app(tl(X0),sK61(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f571,f549]) ).
fof(f3702,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f571,f548]) ).
fof(f3701,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK59(X1))) = app(tl(X0),sK59(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f571,f547]) ).
fof(f3700,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK56(X1))) = app(tl(X0),sK56(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f571,f538]) ).
fof(f3699,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f571,f537]) ).
fof(f3698,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK54(X1))) = app(tl(X0),sK54(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f571,f536]) ).
fof(f3697,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK51(X1))) = app(tl(X0),sK51(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f571,f526]) ).
fof(f3696,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f571,f525]) ).
fof(f3695,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK49(X1))) = app(tl(X0),sK49(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f571,f524]) ).
fof(f3694,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK46(X1))) = app(tl(X0),sK46(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f571,f514]) ).
fof(f3693,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f571,f513]) ).
fof(f3692,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK44(X1))) = app(tl(X0),sK44(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f571,f512]) ).
fof(f3691,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK41(X1))) = app(tl(X0),sK41(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f571,f502]) ).
fof(f3690,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f571,f501]) ).
fof(f3689,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK39(X1))) = app(tl(X0),sK39(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f571,f500]) ).
fof(f3688,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK36(X1))) = app(tl(X0),sK36(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f571,f491]) ).
fof(f3687,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f571,f490]) ).
fof(f3686,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK34(X1))) = app(tl(X0),sK34(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f571,f489]) ).
fof(f3685,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK31(X1))) = app(tl(X0),sK31(X1))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f571,f480]) ).
fof(f3684,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK30(X1))) = app(tl(X0),sK30(X1))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f571,f479]) ).
fof(f3683,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK26(X1))) = app(tl(X0),sK26(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f469]) ).
fof(f3681,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK23(X1))) = app(tl(X0),sK23(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f461]) ).
fof(f3718,plain,
! [X0] :
( tl(app(X0,sK20)) = app(tl(X0),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3680,f385]) ).
fof(f3680,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK22)) = app(tl(X0),sK22)
| ~ ssList(X0) ),
inference(resolution,[],[f571,f384]) ).
fof(f3678,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f571,f382]) ).
fof(f3675,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f465]) ).
fof(f3674,plain,
! [X0] :
( nil = X0
| app(tl(X0),nil) = tl(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f571,f397]) ).
fof(f3673,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f569]) ).
fof(f3666,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f571,f559]) ).
fof(f571,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f3581,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3553,f382]) ).
fof(f3553,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3546]) ).
fof(f3546,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f601,f2916]) ).
fof(f3579,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3556,f569]) ).
fof(f3556,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3543]) ).
fof(f3543,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f601,f596]) ).
fof(f3578,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3557,f569]) ).
fof(f3557,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3542]) ).
fof(f3542,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f601,f2272]) ).
fof(f601,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f3451,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f3423,f569]) ).
fof(f3423,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f3411]) ).
fof(f3411,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(resolution,[],[f600,f595]) ).
fof(f3450,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3424,f569]) ).
fof(f3424,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3410]) ).
fof(f3410,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f600,f2137]) ).
fof(f3448,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3426,f382]) ).
fof(f3426,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3408]) ).
fof(f3408,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f600,f2795]) ).
fof(f600,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f3377,plain,
( rearsegP(sK20,nil)
| ~ ssList(sK64(sK20,nil)) ),
inference(subsumption_resolution,[],[f3373,f397]) ).
fof(f3373,plain,
( rearsegP(sK20,nil)
| ~ ssList(sK64(sK20,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f2137,f3326]) ).
fof(f3378,plain,
( frontsegP(sK20,sK64(sK20,nil))
| ~ ssList(sK64(sK20,nil)) ),
inference(subsumption_resolution,[],[f3374,f397]) ).
fof(f3374,plain,
( frontsegP(sK20,sK64(sK20,nil))
| ~ ssList(nil)
| ~ ssList(sK64(sK20,nil)) ),
inference(superposition,[],[f2272,f3326]) ).
fof(f3376,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK64(sK20,nil)) ),
inference(subsumption_resolution,[],[f3372,f397]) ).
fof(f3372,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK64(sK20,nil)) ),
inference(superposition,[],[f596,f3326]) ).
fof(f3375,plain,
! [X0] :
( memberP(sK20,X0)
| ~ memberP(sK64(sK20,nil),X0)
| ~ ssList(sK64(sK20,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3366,f397]) ).
fof(f3366,plain,
! [X0] :
( memberP(sK20,X0)
| ~ memberP(sK64(sK20,nil),X0)
| ~ ssList(nil)
| ~ ssList(sK64(sK20,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f451,f3326]) ).
fof(f3326,plain,
sK20 = app(sK64(sK20,nil),nil),
inference(resolution,[],[f2606,f382]) ).
fof(f3358,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK64(sK67(X0,X1),nil),nil)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f585]) ).
fof(f3357,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK64(sK66(X0,X1),nil),nil)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f582]) ).
fof(f3356,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK64(sK65(X0,X1),nil),nil)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f581]) ).
fof(f3354,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK64(sK64(X0,X1),nil),nil)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f578]) ).
fof(f3353,plain,
! [X0,X1] :
( sK63(X0,X1) = app(sK64(sK63(X0,X1),nil),nil)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f566]) ).
fof(f3352,plain,
! [X0,X1] :
( sK62(X0,X1) = app(sK64(sK62(X0,X1),nil),nil)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f565]) ).
fof(f3351,plain,
! [X0] :
( sK61(X0) = app(sK64(sK61(X0),nil),nil)
| sP17(X0) ),
inference(resolution,[],[f2606,f549]) ).
fof(f3350,plain,
! [X0] :
( sK60(X0) = app(sK64(sK60(X0),nil),nil)
| sP17(X0) ),
inference(resolution,[],[f2606,f548]) ).
fof(f3349,plain,
! [X0] :
( sK59(X0) = app(sK64(sK59(X0),nil),nil)
| sP17(X0) ),
inference(resolution,[],[f2606,f547]) ).
fof(f3348,plain,
! [X0] :
( sK56(X0) = app(sK64(sK56(X0),nil),nil)
| sP15(X0) ),
inference(resolution,[],[f2606,f538]) ).
fof(f3347,plain,
! [X0] :
( sK55(X0) = app(sK64(sK55(X0),nil),nil)
| sP15(X0) ),
inference(resolution,[],[f2606,f537]) ).
fof(f3346,plain,
! [X0] :
( sK54(X0) = app(sK64(sK54(X0),nil),nil)
| sP15(X0) ),
inference(resolution,[],[f2606,f536]) ).
fof(f3345,plain,
! [X0] :
( sK51(X0) = app(sK64(sK51(X0),nil),nil)
| sP13(X0) ),
inference(resolution,[],[f2606,f526]) ).
fof(f3344,plain,
! [X0] :
( sK50(X0) = app(sK64(sK50(X0),nil),nil)
| sP13(X0) ),
inference(resolution,[],[f2606,f525]) ).
fof(f3343,plain,
! [X0] :
( sK49(X0) = app(sK64(sK49(X0),nil),nil)
| sP13(X0) ),
inference(resolution,[],[f2606,f524]) ).
fof(f3342,plain,
! [X0] :
( sK46(X0) = app(sK64(sK46(X0),nil),nil)
| sP11(X0) ),
inference(resolution,[],[f2606,f514]) ).
fof(f3341,plain,
! [X0] :
( sK45(X0) = app(sK64(sK45(X0),nil),nil)
| sP11(X0) ),
inference(resolution,[],[f2606,f513]) ).
fof(f3340,plain,
! [X0] :
( sK44(X0) = app(sK64(sK44(X0),nil),nil)
| sP11(X0) ),
inference(resolution,[],[f2606,f512]) ).
fof(f3339,plain,
! [X0] :
( sK41(X0) = app(sK64(sK41(X0),nil),nil)
| sP9(X0) ),
inference(resolution,[],[f2606,f502]) ).
fof(f3338,plain,
! [X0] :
( sK40(X0) = app(sK64(sK40(X0),nil),nil)
| sP9(X0) ),
inference(resolution,[],[f2606,f501]) ).
fof(f3337,plain,
! [X0] :
( sK39(X0) = app(sK64(sK39(X0),nil),nil)
| sP9(X0) ),
inference(resolution,[],[f2606,f500]) ).
fof(f3336,plain,
! [X0] :
( sK36(X0) = app(sK64(sK36(X0),nil),nil)
| sP7(X0) ),
inference(resolution,[],[f2606,f491]) ).
fof(f3335,plain,
! [X0] :
( sK35(X0) = app(sK64(sK35(X0),nil),nil)
| sP7(X0) ),
inference(resolution,[],[f2606,f490]) ).
fof(f3334,plain,
! [X0] :
( sK34(X0) = app(sK64(sK34(X0),nil),nil)
| sP7(X0) ),
inference(resolution,[],[f2606,f489]) ).
fof(f3333,plain,
! [X0] :
( sK31(X0) = app(sK64(sK31(X0),nil),nil)
| sP5(X0) ),
inference(resolution,[],[f2606,f480]) ).
fof(f3332,plain,
! [X0] :
( sK30(X0) = app(sK64(sK30(X0),nil),nil)
| sP5(X0) ),
inference(resolution,[],[f2606,f479]) ).
fof(f3331,plain,
! [X0] :
( sK26(X0) = app(sK64(sK26(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f469]) ).
fof(f3329,plain,
! [X0] :
( sK23(X0) = app(sK64(sK23(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f461]) ).
fof(f3363,plain,
sK20 = app(sK64(sK20,nil),nil),
inference(forward_demodulation,[],[f3328,f385]) ).
fof(f3328,plain,
sK22 = app(sK64(sK22,nil),nil),
inference(resolution,[],[f2606,f384]) ).
fof(f3323,plain,
! [X0] :
( tl(X0) = app(sK64(tl(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f465]) ).
fof(f3321,plain,
! [X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),nil),nil)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2606,f569]) ).
fof(f3314,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),nil),nil)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2606,f559]) ).
fof(f2606,plain,
! [X0] :
( ~ ssList(X0)
| app(sK64(X0,nil),nil) = X0 ),
inference(subsumption_resolution,[],[f2600,f397]) ).
fof(f2600,plain,
! [X0] :
( app(sK64(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2596,plain,
! [X0] :
( app(sK64(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f579,f454]) ).
fof(f599,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f481,plain,
! [X0] :
( sP5(X0)
| app(sK30(X0),cons(sK28(X0),cons(sK29(X0),sK31(X0)))) = X0 ),
inference(cnf_transformation,[],[f296]) ).
fof(f3152,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ lt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1) ),
inference(duplicate_literal_removal,[],[f3151]) ).
fof(f3151,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ lt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f427,f410]) ).
fof(f3150,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ lt(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP3(X1,X2) ),
inference(resolution,[],[f427,f446]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f3094,plain,
( frontsegP(sK20,sK64(sK20,sK20))
| ~ ssList(sK64(sK20,sK20)) ),
inference(subsumption_resolution,[],[f3091,f382]) ).
fof(f3091,plain,
( frontsegP(sK20,sK64(sK20,sK20))
| ~ ssList(sK20)
| ~ ssList(sK64(sK20,sK20)) ),
inference(superposition,[],[f2272,f3046]) ).
fof(f3093,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,sK20),X0)
| ~ ssList(X0)
| ~ ssList(sK64(sK20,sK20)) ),
inference(subsumption_resolution,[],[f3089,f382]) ).
fof(f3089,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,sK20),X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(sK64(sK20,sK20)) ),
inference(superposition,[],[f596,f3046]) ).
fof(f3092,plain,
! [X0] :
( memberP(sK20,X0)
| ~ memberP(sK64(sK20,sK20),X0)
| ~ ssList(sK64(sK20,sK20))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3083,f382]) ).
fof(f3083,plain,
! [X0] :
( memberP(sK20,X0)
| ~ memberP(sK64(sK20,sK20),X0)
| ~ ssList(sK20)
| ~ ssList(sK64(sK20,sK20))
| ~ ssItem(X0) ),
inference(superposition,[],[f451,f3046]) ).
fof(f3046,plain,
sK20 = app(sK64(sK20,sK20),sK20),
inference(resolution,[],[f2603,f382]) ).
fof(f3077,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK64(sK67(X0,X1),sK67(X0,X1)),sK67(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f585]) ).
fof(f3076,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK64(sK66(X0,X1),sK66(X0,X1)),sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f582]) ).
fof(f3075,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK64(sK65(X0,X1),sK65(X0,X1)),sK65(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f581]) ).
fof(f3074,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK64(sK64(X0,X1),sK64(X0,X1)),sK64(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f578]) ).
fof(f3073,plain,
! [X0,X1] :
( sK63(X0,X1) = app(sK64(sK63(X0,X1),sK63(X0,X1)),sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f566]) ).
fof(f3072,plain,
! [X0,X1] :
( sK62(X0,X1) = app(sK64(sK62(X0,X1),sK62(X0,X1)),sK62(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f565]) ).
fof(f3071,plain,
! [X0] :
( sK61(X0) = app(sK64(sK61(X0),sK61(X0)),sK61(X0))
| sP17(X0) ),
inference(resolution,[],[f2603,f549]) ).
fof(f3070,plain,
! [X0] :
( sK60(X0) = app(sK64(sK60(X0),sK60(X0)),sK60(X0))
| sP17(X0) ),
inference(resolution,[],[f2603,f548]) ).
fof(f3069,plain,
! [X0] :
( sK59(X0) = app(sK64(sK59(X0),sK59(X0)),sK59(X0))
| sP17(X0) ),
inference(resolution,[],[f2603,f547]) ).
fof(f3068,plain,
! [X0] :
( sK56(X0) = app(sK64(sK56(X0),sK56(X0)),sK56(X0))
| sP15(X0) ),
inference(resolution,[],[f2603,f538]) ).
fof(f3067,plain,
! [X0] :
( sK55(X0) = app(sK64(sK55(X0),sK55(X0)),sK55(X0))
| sP15(X0) ),
inference(resolution,[],[f2603,f537]) ).
fof(f3066,plain,
! [X0] :
( sK54(X0) = app(sK64(sK54(X0),sK54(X0)),sK54(X0))
| sP15(X0) ),
inference(resolution,[],[f2603,f536]) ).
fof(f3065,plain,
! [X0] :
( sK51(X0) = app(sK64(sK51(X0),sK51(X0)),sK51(X0))
| sP13(X0) ),
inference(resolution,[],[f2603,f526]) ).
fof(f3064,plain,
! [X0] :
( sK50(X0) = app(sK64(sK50(X0),sK50(X0)),sK50(X0))
| sP13(X0) ),
inference(resolution,[],[f2603,f525]) ).
fof(f3063,plain,
! [X0] :
( sK49(X0) = app(sK64(sK49(X0),sK49(X0)),sK49(X0))
| sP13(X0) ),
inference(resolution,[],[f2603,f524]) ).
fof(f3062,plain,
! [X0] :
( sK46(X0) = app(sK64(sK46(X0),sK46(X0)),sK46(X0))
| sP11(X0) ),
inference(resolution,[],[f2603,f514]) ).
fof(f3061,plain,
! [X0] :
( sK45(X0) = app(sK64(sK45(X0),sK45(X0)),sK45(X0))
| sP11(X0) ),
inference(resolution,[],[f2603,f513]) ).
fof(f3060,plain,
! [X0] :
( sK44(X0) = app(sK64(sK44(X0),sK44(X0)),sK44(X0))
| sP11(X0) ),
inference(resolution,[],[f2603,f512]) ).
fof(f3059,plain,
! [X0] :
( sK41(X0) = app(sK64(sK41(X0),sK41(X0)),sK41(X0))
| sP9(X0) ),
inference(resolution,[],[f2603,f502]) ).
fof(f3058,plain,
! [X0] :
( sK40(X0) = app(sK64(sK40(X0),sK40(X0)),sK40(X0))
| sP9(X0) ),
inference(resolution,[],[f2603,f501]) ).
fof(f3057,plain,
! [X0] :
( sK39(X0) = app(sK64(sK39(X0),sK39(X0)),sK39(X0))
| sP9(X0) ),
inference(resolution,[],[f2603,f500]) ).
fof(f3056,plain,
! [X0] :
( sK36(X0) = app(sK64(sK36(X0),sK36(X0)),sK36(X0))
| sP7(X0) ),
inference(resolution,[],[f2603,f491]) ).
fof(f3055,plain,
! [X0] :
( sK35(X0) = app(sK64(sK35(X0),sK35(X0)),sK35(X0))
| sP7(X0) ),
inference(resolution,[],[f2603,f490]) ).
fof(f3054,plain,
! [X0] :
( sK34(X0) = app(sK64(sK34(X0),sK34(X0)),sK34(X0))
| sP7(X0) ),
inference(resolution,[],[f2603,f489]) ).
fof(f3053,plain,
! [X0] :
( sK31(X0) = app(sK64(sK31(X0),sK31(X0)),sK31(X0))
| sP5(X0) ),
inference(resolution,[],[f2603,f480]) ).
fof(f3052,plain,
! [X0] :
( sK30(X0) = app(sK64(sK30(X0),sK30(X0)),sK30(X0))
| sP5(X0) ),
inference(resolution,[],[f2603,f479]) ).
fof(f3051,plain,
! [X0] :
( sK26(X0) = app(sK64(sK26(X0),sK26(X0)),sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f469]) ).
fof(f3049,plain,
! [X0] :
( sK23(X0) = app(sK64(sK23(X0),sK23(X0)),sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f461]) ).
fof(f3081,plain,
sK20 = app(sK64(sK20,sK20),sK20),
inference(forward_demodulation,[],[f3048,f385]) ).
fof(f3048,plain,
sK22 = app(sK64(sK22,sK22),sK22),
inference(resolution,[],[f2603,f384]) ).
fof(f3043,plain,
! [X0] :
( tl(X0) = app(sK64(tl(X0),tl(X0)),tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f465]) ).
fof(f3041,plain,
! [X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),app(X0,X1)),app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2603,f569]) ).
fof(f3034,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),cons(X0,X1)),cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2603,f559]) ).
fof(f2603,plain,
! [X0] :
( ~ ssList(X0)
| app(sK64(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f2593]) ).
fof(f2593,plain,
! [X0] :
( app(sK64(X0,X0),X0) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f579,f458]) ).
fof(f3033,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1) ),
inference(duplicate_literal_removal,[],[f3032]) ).
fof(f3032,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f426,f410]) ).
fof(f3031,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP3(X1,X2) ),
inference(resolution,[],[f426,f446]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f3030,plain,
! [X0,X1] :
( leq(X0,sK47(X1))
| ~ leq(X0,sK48(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f3029,f523]) ).
fof(f3029,plain,
! [X0,X1] :
( leq(X0,sK47(X1))
| ~ leq(X0,sK48(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f3025,f522]) ).
fof(f3025,plain,
! [X0,X1] :
( leq(X0,sK47(X1))
| ~ leq(X0,sK48(X1))
| ~ ssItem(sK47(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(resolution,[],[f425,f529]) ).
fof(f3028,plain,
! [X0,X1] :
( leq(X0,sK48(X1))
| ~ leq(X0,sK47(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f3027,f522]) ).
fof(f3027,plain,
! [X0,X1] :
( leq(X0,sK48(X1))
| ~ leq(X0,sK47(X1))
| ~ ssItem(sK47(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f3024,f523]) ).
fof(f3024,plain,
! [X0,X1] :
( leq(X0,sK48(X1))
| ~ leq(X0,sK47(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(sK47(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(resolution,[],[f425,f528]) ).
fof(f3023,plain,
! [X2,X0,X1] :
( leq(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP1(X1,X2) ),
inference(resolution,[],[f425,f438]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f3020,plain,
! [X2,X0,X1] :
( geq(X0,X1)
| ~ geq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ leq(X1,X2) ),
inference(duplicate_literal_removal,[],[f3019]) ).
fof(f3019,plain,
! [X2,X0,X1] :
( geq(X0,X1)
| ~ geq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f424,f419]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| geq(X0,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f2933,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20) ),
inference(subsumption_resolution,[],[f2930,f382]) ).
fof(f2930,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2929]) ).
fof(f2929,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f2916,f575]) ).
fof(f2976,plain,
! [X2,X0,X1] :
( gt(X0,X1)
| ~ gt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ lt(X1,X2) ),
inference(duplicate_literal_removal,[],[f2975]) ).
fof(f2975,plain,
! [X2,X0,X1] :
( gt(X0,X1)
| ~ gt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f423,f415]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f2819,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20) ),
inference(subsumption_resolution,[],[f2814,f382]) ).
fof(f2814,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2813]) ).
fof(f2813,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f2795,f573]) ).
fof(f2932,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK67(sK20,X0)) ),
inference(subsumption_resolution,[],[f2931,f382]) ).
fof(f2931,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK67(sK20,X0))
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2928]) ).
fof(f2928,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK67(sK20,X0))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(resolution,[],[f2916,f586]) ).
fof(f2916,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2915,f397]) ).
fof(f2915,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2884,f382]) ).
fof(f2884,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f596,f704]) ).
fof(f2909,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK64(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK64(nil,nil)) ),
inference(subsumption_resolution,[],[f2881,f397]) ).
fof(f2881,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK64(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK64(nil,nil)) ),
inference(superposition,[],[f596,f2605]) ).
fof(f2896,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2)) ),
inference(subsumption_resolution,[],[f2893,f569]) ).
fof(f2893,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2)) ),
inference(duplicate_literal_removal,[],[f2863]) ).
fof(f2863,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2))
| ~ ssList(X1) ),
inference(resolution,[],[f596,f575]) ).
fof(f2895,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK67(app(X0,X2),X1)) ),
inference(subsumption_resolution,[],[f2894,f569]) ).
fof(f2894,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK67(app(X0,X2),X1))
| ~ ssList(app(X0,X2)) ),
inference(duplicate_literal_removal,[],[f2862]) ).
fof(f2862,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK67(app(X0,X2),X1))
| ~ ssList(X1)
| ~ ssList(app(X0,X2)) ),
inference(resolution,[],[f596,f586]) ).
fof(f596,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f2818,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK64(sK20,X0),X0) ),
inference(subsumption_resolution,[],[f2815,f382]) ).
fof(f2815,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK64(sK20,X0),X0)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2812]) ).
fof(f2812,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK64(sK20,X0),X0)
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(resolution,[],[f2795,f579]) ).
fof(f2795,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2794,f397]) ).
fof(f2794,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2759,f382]) ).
fof(f2759,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f595,f677]) ).
fof(f2809,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK67(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK67(nil,nil)) ),
inference(subsumption_resolution,[],[f2771,f397]) ).
fof(f2771,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK67(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK67(nil,nil)) ),
inference(superposition,[],[f595,f2719]) ).
fof(f2776,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0)) ),
inference(subsumption_resolution,[],[f2773,f569]) ).
fof(f2773,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0)) ),
inference(duplicate_literal_removal,[],[f2743]) ).
fof(f2743,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f595,f573]) ).
fof(f2775,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK64(app(X2,X0),X1),X1) ),
inference(subsumption_resolution,[],[f2774,f569]) ).
fof(f2774,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK64(app(X2,X0),X1),X1)
| ~ ssList(app(X2,X0)) ),
inference(duplicate_literal_removal,[],[f2742]) ).
fof(f2742,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK64(app(X2,X0),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X2,X0)) ),
inference(resolution,[],[f595,f579]) ).
fof(f595,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f2731,plain,
( rearsegP(nil,sK67(nil,nil))
| ~ ssList(sK67(nil,nil)) ),
inference(subsumption_resolution,[],[f2725,f397]) ).
fof(f2725,plain,
( rearsegP(nil,sK67(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK67(nil,nil)) ),
inference(superposition,[],[f2137,f2719]) ).
fof(f2730,plain,
( nil = sK67(nil,nil)
| ~ ssList(sK67(nil,nil)) ),
inference(subsumption_resolution,[],[f2727,f397]) ).
fof(f2727,plain,
( nil = sK67(nil,nil)
| ~ ssList(sK67(nil,nil))
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f2723]) ).
fof(f2723,plain,
( nil != nil
| nil = sK67(nil,nil)
| ~ ssList(sK67(nil,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f588,f2719]) ).
fof(f2729,plain,
! [X0] :
( ~ memberP(sK67(nil,nil),X0)
| ~ ssList(sK67(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2728,f398]) ).
fof(f2728,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK67(nil,nil),X0)
| ~ ssList(sK67(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2721,f397]) ).
fof(f2721,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK67(nil,nil),X0)
| ~ ssList(sK67(nil,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f452,f2719]) ).
fof(f2719,plain,
nil = app(nil,sK67(nil,nil)),
inference(subsumption_resolution,[],[f2707,f397]) ).
fof(f2707,plain,
( nil = app(nil,sK67(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2706]) ).
fof(f2706,plain,
( nil = app(nil,sK67(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f586,f644]) ).
fof(f2718,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK67(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2708,f569]) ).
fof(f2708,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK67(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f2705]) ).
fof(f2705,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK67(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f586,f2272]) ).
fof(f586,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK67(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f370,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f2634,plain,
( frontsegP(nil,sK64(nil,nil))
| ~ ssList(sK64(nil,nil)) ),
inference(subsumption_resolution,[],[f2629,f397]) ).
fof(f2629,plain,
( frontsegP(nil,sK64(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK64(nil,nil)) ),
inference(superposition,[],[f2272,f2605]) ).
fof(f2633,plain,
( nil = sK64(nil,nil)
| ~ ssList(sK64(nil,nil)) ),
inference(subsumption_resolution,[],[f2630,f397]) ).
fof(f2630,plain,
( nil = sK64(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK64(nil,nil)) ),
inference(trivial_inequality_removal,[],[f2627]) ).
fof(f2627,plain,
( nil != nil
| nil = sK64(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK64(nil,nil)) ),
inference(superposition,[],[f589,f2605]) ).
fof(f2632,plain,
! [X0] :
( ~ memberP(sK64(nil,nil),X0)
| ~ ssList(sK64(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2631,f398]) ).
fof(f2631,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK64(nil,nil),X0)
| ~ ssList(sK64(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2623,f397]) ).
fof(f2623,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK64(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(sK64(nil,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f451,f2605]) ).
fof(f2605,plain,
nil = app(sK64(nil,nil),nil),
inference(subsumption_resolution,[],[f2601,f397]) ).
fof(f2601,plain,
( nil = app(sK64(nil,nil),nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2595]) ).
fof(f2595,plain,
( nil = app(sK64(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f579,f643]) ).
fof(f2604,plain,
! [X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2602,f569]) ).
fof(f2602,plain,
! [X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f2594,plain,
! [X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f579,f2137]) ).
fof(f579,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK64(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK64(X0,X1),X1) = X0
& ssList(sK64(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f361,f362]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK64(X0,X1),X1) = X0
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2553,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK67(X1,X2)))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f585]) ).
fof(f2552,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK66(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f582]) ).
fof(f2551,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK65(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f581]) ).
fof(f2550,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK64(X1,X2)))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f578]) ).
fof(f2549,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK63(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f566]) ).
fof(f2548,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK62(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f565]) ).
fof(f2547,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK61(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f570,f549]) ).
fof(f2546,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK60(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f570,f548]) ).
fof(f2545,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK59(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f570,f547]) ).
fof(f2544,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK56(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f570,f538]) ).
fof(f2543,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK55(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f570,f537]) ).
fof(f2542,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK54(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f570,f536]) ).
fof(f2541,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK51(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f570,f526]) ).
fof(f2540,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK50(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f570,f525]) ).
fof(f2539,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK49(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f570,f524]) ).
fof(f2538,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK46(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f570,f514]) ).
fof(f2537,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK45(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f570,f513]) ).
fof(f2536,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK44(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f570,f512]) ).
fof(f2535,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK41(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f570,f502]) ).
fof(f2534,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK40(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f570,f501]) ).
fof(f2533,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK39(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f570,f500]) ).
fof(f2532,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK36(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f570,f491]) ).
fof(f2531,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK35(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f570,f490]) ).
fof(f2530,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK34(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f570,f489]) ).
fof(f2529,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK31(X1)))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f570,f480]) ).
fof(f2528,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK30(X1)))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f570,f479]) ).
fof(f2527,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK26(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f570,f469]) ).
fof(f2525,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK23(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f570,f461]) ).
fof(f2557,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK20))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2524,f385]) ).
fof(f2524,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f570,f384]) ).
fof(f2519,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,tl(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f570,f465]) ).
fof(f2518,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f570,f397]) ).
fof(f2517,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,app(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f570,f569]) ).
fof(f2510,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f570,f559]) ).
fof(f570,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f452,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f451,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f430,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f2309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0)) ),
inference(subsumption_resolution,[],[f2308,f569]) ).
fof(f2308,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2285]) ).
fof(f2285,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f2272,f575]) ).
fof(f2272,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f632,f569]) ).
fof(f2236,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1)) ),
inference(subsumption_resolution,[],[f2235,f569]) ).
fof(f2235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2213]) ).
fof(f2213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(resolution,[],[f2137,f573]) ).
fof(f2137,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f630,f569]) ).
fof(f575,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f574,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f573,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f1903,plain,
( ssList(cons(sK69,sK20))
| ~ ssList(cons(sK69,nil)) ),
inference(subsumption_resolution,[],[f1899,f382]) ).
fof(f1899,plain,
( ssList(cons(sK69,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK69,nil)) ),
inference(superposition,[],[f569,f1846]) ).
fof(f1900,plain,
( nil != cons(sK69,sK20)
| nil = cons(sK69,nil)
| ~ ssList(cons(sK69,nil)) ),
inference(subsumption_resolution,[],[f1897,f382]) ).
fof(f1897,plain,
( nil != cons(sK69,sK20)
| nil = cons(sK69,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK69,nil)) ),
inference(superposition,[],[f589,f1846]) ).
fof(f1846,plain,
cons(sK69,sK20) = app(cons(sK69,nil),sK20),
inference(resolution,[],[f1788,f604]) ).
fof(f1854,plain,
( ssList(cons(sK68,sK20))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f1850,f382]) ).
fof(f1850,plain,
( ssList(cons(sK68,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f569,f1845]) ).
fof(f1851,plain,
( nil != cons(sK68,sK20)
| nil = cons(sK68,nil)
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f1848,f382]) ).
fof(f1848,plain,
( nil != cons(sK68,sK20)
| nil = cons(sK68,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f589,f1845]) ).
fof(f1845,plain,
cons(sK68,sK20) = app(cons(sK68,nil),sK20),
inference(resolution,[],[f1788,f603]) ).
fof(f1844,plain,
! [X0] :
( cons(sK58(X0),sK20) = app(cons(sK58(X0),nil),sK20)
| sP17(X0) ),
inference(resolution,[],[f1788,f546]) ).
fof(f1843,plain,
! [X0] :
( cons(sK57(X0),sK20) = app(cons(sK57(X0),nil),sK20)
| sP17(X0) ),
inference(resolution,[],[f1788,f545]) ).
fof(f1842,plain,
! [X0] :
( cons(sK53(X0),sK20) = app(cons(sK53(X0),nil),sK20)
| sP15(X0) ),
inference(resolution,[],[f1788,f535]) ).
fof(f1841,plain,
! [X0] :
( cons(sK52(X0),sK20) = app(cons(sK52(X0),nil),sK20)
| sP15(X0) ),
inference(resolution,[],[f1788,f534]) ).
fof(f1840,plain,
! [X0] :
( cons(sK48(X0),sK20) = app(cons(sK48(X0),nil),sK20)
| sP13(X0) ),
inference(resolution,[],[f1788,f523]) ).
fof(f1839,plain,
! [X0] :
( cons(sK47(X0),sK20) = app(cons(sK47(X0),nil),sK20)
| sP13(X0) ),
inference(resolution,[],[f1788,f522]) ).
fof(f1838,plain,
! [X0] :
( cons(sK43(X0),sK20) = app(cons(sK43(X0),nil),sK20)
| sP11(X0) ),
inference(resolution,[],[f1788,f511]) ).
fof(f1837,plain,
! [X0] :
( cons(sK42(X0),sK20) = app(cons(sK42(X0),nil),sK20)
| sP11(X0) ),
inference(resolution,[],[f1788,f510]) ).
fof(f1836,plain,
! [X0] :
( cons(sK38(X0),sK20) = app(cons(sK38(X0),nil),sK20)
| sP9(X0) ),
inference(resolution,[],[f1788,f499]) ).
fof(f1835,plain,
! [X0] :
( cons(sK37(X0),sK20) = app(cons(sK37(X0),nil),sK20)
| sP9(X0) ),
inference(resolution,[],[f1788,f498]) ).
fof(f1834,plain,
! [X0] :
( cons(sK33(X0),sK20) = app(cons(sK33(X0),nil),sK20)
| sP7(X0) ),
inference(resolution,[],[f1788,f488]) ).
fof(f1833,plain,
! [X0] :
( cons(sK32(X0),sK20) = app(cons(sK32(X0),nil),sK20)
| sP7(X0) ),
inference(resolution,[],[f1788,f487]) ).
fof(f1832,plain,
! [X0] :
( cons(sK29(X0),sK20) = app(cons(sK29(X0),nil),sK20)
| sP5(X0) ),
inference(resolution,[],[f1788,f478]) ).
fof(f1831,plain,
! [X0] :
( cons(sK28(X0),sK20) = app(cons(sK28(X0),nil),sK20)
| sP5(X0) ),
inference(resolution,[],[f1788,f477]) ).
fof(f1830,plain,
! [X0] :
( cons(sK27(X0),sK20) = app(cons(sK27(X0),nil),sK20)
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1788,f471]) ).
fof(f1829,plain,
! [X0] :
( cons(sK25(X0),sK20) = app(cons(sK25(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1788,f467]) ).
fof(f1827,plain,
! [X0] :
( cons(sK24(X0),sK20) = app(cons(sK24(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1788,f462]) ).
fof(f1825,plain,
! [X0] :
( cons(hd(X0),sK20) = app(cons(hd(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1788,f464]) ).
fof(f1788,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) ),
inference(resolution,[],[f564,f382]) ).
fof(f1819,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK67(X1,X2)) = app(cons(X0,nil),sK67(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f585]) ).
fof(f1818,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f582]) ).
fof(f1817,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f581]) ).
fof(f1816,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f578]) ).
fof(f1815,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f566]) ).
fof(f1814,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK62(X1,X2)) = app(cons(X0,nil),sK62(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f565]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK61(X1)) = app(cons(X0,nil),sK61(X1))
| sP17(X1) ),
inference(resolution,[],[f564,f549]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
| sP17(X1) ),
inference(resolution,[],[f564,f548]) ).
fof(f1811,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK59(X1)) = app(cons(X0,nil),sK59(X1))
| sP17(X1) ),
inference(resolution,[],[f564,f547]) ).
fof(f1810,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK56(X1)) = app(cons(X0,nil),sK56(X1))
| sP15(X1) ),
inference(resolution,[],[f564,f538]) ).
fof(f1809,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
| sP15(X1) ),
inference(resolution,[],[f564,f537]) ).
fof(f1808,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK54(X1)) = app(cons(X0,nil),sK54(X1))
| sP15(X1) ),
inference(resolution,[],[f564,f536]) ).
fof(f1807,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK51(X1)) = app(cons(X0,nil),sK51(X1))
| sP13(X1) ),
inference(resolution,[],[f564,f526]) ).
fof(f1806,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
| sP13(X1) ),
inference(resolution,[],[f564,f525]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK49(X1)) = app(cons(X0,nil),sK49(X1))
| sP13(X1) ),
inference(resolution,[],[f564,f524]) ).
fof(f1804,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK46(X1)) = app(cons(X0,nil),sK46(X1))
| sP11(X1) ),
inference(resolution,[],[f564,f514]) ).
fof(f1803,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
| sP11(X1) ),
inference(resolution,[],[f564,f513]) ).
fof(f1802,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK44(X1)) = app(cons(X0,nil),sK44(X1))
| sP11(X1) ),
inference(resolution,[],[f564,f512]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK41(X1)) = app(cons(X0,nil),sK41(X1))
| sP9(X1) ),
inference(resolution,[],[f564,f502]) ).
fof(f1800,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
| sP9(X1) ),
inference(resolution,[],[f564,f501]) ).
fof(f1799,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK39(X1)) = app(cons(X0,nil),sK39(X1))
| sP9(X1) ),
inference(resolution,[],[f564,f500]) ).
fof(f1798,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK36(X1)) = app(cons(X0,nil),sK36(X1))
| sP7(X1) ),
inference(resolution,[],[f564,f491]) ).
fof(f1797,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
| sP7(X1) ),
inference(resolution,[],[f564,f490]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK34(X1)) = app(cons(X0,nil),sK34(X1))
| sP7(X1) ),
inference(resolution,[],[f564,f489]) ).
fof(f1795,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK31(X1)) = app(cons(X0,nil),sK31(X1))
| sP5(X1) ),
inference(resolution,[],[f564,f480]) ).
fof(f1794,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK30(X1)) = app(cons(X0,nil),sK30(X1))
| sP5(X1) ),
inference(resolution,[],[f564,f479]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK26(X1)) = app(cons(X0,nil),sK26(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f564,f469]) ).
fof(f1791,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK23(X1)) = app(cons(X0,nil),sK23(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f564,f461]) ).
fof(f1823,plain,
! [X0] :
( cons(X0,sK20) = app(cons(X0,nil),sK20)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1790,f385]) ).
fof(f1790,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK22) = app(cons(X0,nil),sK22) ),
inference(resolution,[],[f564,f384]) ).
fof(f1785,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f564,f465]) ).
fof(f1784,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) ),
inference(resolution,[],[f564,f397]) ).
fof(f1783,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f564,f569]) ).
fof(f1782,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f564,f559]) ).
fof(f564,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f1758,plain,
! [X0] :
( sP13(X0)
| sK47(X0) = sK48(X0) ),
inference(subsumption_resolution,[],[f1757,f523]) ).
fof(f1757,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ ssItem(sK48(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1756,f522]) ).
fof(f1756,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ ssItem(sK47(X0))
| ~ ssItem(sK48(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1753,f529]) ).
fof(f1753,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ leq(sK48(X0),sK47(X0))
| ~ ssItem(sK47(X0))
| ~ ssItem(sK48(X0))
| sP13(X0) ),
inference(resolution,[],[f413,f528]) ).
fof(f1761,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| sP13(X0) ),
inference(subsumption_resolution,[],[f1760,f522]) ).
fof(f1760,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ ssItem(sK47(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1759,f523]) ).
fof(f1759,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ ssItem(sK48(X0))
| ~ ssItem(sK47(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1754,f528]) ).
fof(f1754,plain,
! [X0] :
( sK47(X0) = sK48(X0)
| ~ leq(sK47(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK47(X0))
| sP13(X0) ),
inference(resolution,[],[f413,f529]) ).
fof(f1752,plain,
! [X0,X1] :
( hd(X0) = X1
| ~ leq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0))
| nil = X0
| ~ sP1(X0,X1) ),
inference(resolution,[],[f413,f438]) ).
fof(f413,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f1685,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1684,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f412,f419]) ).
fof(f412,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(f1623,plain,
! [X0] :
( sK57(X0) = sK58(X0)
| ~ leq(sK57(X0),sK58(X0))
| sP17(X0) ),
inference(subsumption_resolution,[],[f1622,f545]) ).
fof(f1622,plain,
! [X0] :
( sK57(X0) = sK58(X0)
| ~ leq(sK57(X0),sK58(X0))
| ~ ssItem(sK57(X0))
| sP17(X0) ),
inference(subsumption_resolution,[],[f1614,f546]) ).
fof(f1614,plain,
! [X0] :
( sK57(X0) = sK58(X0)
| ~ leq(sK57(X0),sK58(X0))
| ~ ssItem(sK58(X0))
| ~ ssItem(sK57(X0))
| sP17(X0) ),
inference(resolution,[],[f410,f551]) ).
fof(f1621,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK43(X0),sK42(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1620,f511]) ).
fof(f1620,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK43(X0),sK42(X0))
| ~ ssItem(sK43(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1613,f510]) ).
fof(f1613,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK43(X0),sK42(X0))
| ~ ssItem(sK42(X0))
| ~ ssItem(sK43(X0))
| sP11(X0) ),
inference(resolution,[],[f410,f517]) ).
fof(f1619,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK42(X0),sK43(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1618,f510]) ).
fof(f1618,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK42(X0),sK43(X0))
| ~ ssItem(sK42(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1612,f511]) ).
fof(f1612,plain,
! [X0] :
( sK42(X0) = sK43(X0)
| ~ leq(sK42(X0),sK43(X0))
| ~ ssItem(sK43(X0))
| ~ ssItem(sK42(X0))
| sP11(X0) ),
inference(resolution,[],[f410,f516]) ).
fof(f1611,plain,
! [X0,X1] :
( hd(X1) = X0
| ~ leq(X0,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X0)
| sP3(X1,X0)
| ~ strictorderedP(X1)
| nil = X1 ),
inference(resolution,[],[f410,f448]) ).
fof(f1615,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1610]) ).
fof(f1610,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f410,f411]) ).
fof(f410,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f589,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f588,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f1448,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| nil = sK20 ),
inference(forward_demodulation,[],[f1419,f385]) ).
fof(f1419,plain,
( nil = sK20
| sK22 = cons(hd(sK22),tl(sK22)) ),
inference(forward_demodulation,[],[f1387,f385]) ).
fof(f1387,plain,
( nil = sK22
| sK22 = cons(hd(sK22),tl(sK22)) ),
inference(resolution,[],[f466,f384]) ).
fof(f1385,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(resolution,[],[f466,f382]) ).
fof(f1337,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| nil = sK20 ),
inference(forward_demodulation,[],[f1310,f385]) ).
fof(f1310,plain,
( nil = sK20
| sK22 = cons(sK24(sK22),sK23(sK22)) ),
inference(forward_demodulation,[],[f1278,f385]) ).
fof(f1278,plain,
( nil = sK22
| sK22 = cons(sK24(sK22),sK23(sK22)) ),
inference(resolution,[],[f463,f384]) ).
fof(f1276,plain,
( nil = sK20
| sK20 = cons(sK24(sK20),sK23(sK20)) ),
inference(resolution,[],[f463,f382]) ).
fof(f1340,plain,
( tl(sK20) = sK26(sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f897,f385]) ).
fof(f897,plain,
( nil = sK20
| tl(sK22) = sK26(sK22) ),
inference(forward_demodulation,[],[f868,f385]) ).
fof(f868,plain,
( nil = sK22
| tl(sK22) = sK26(sK22) ),
inference(resolution,[],[f470,f384]) ).
fof(f866,plain,
( nil = sK20
| tl(sK20) = sK26(sK20) ),
inference(resolution,[],[f470,f382]) ).
fof(f1415,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(hd(sK67(X0,X1)),tl(sK67(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f585]) ).
fof(f1414,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f582]) ).
fof(f1413,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f581]) ).
fof(f1412,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f578]) ).
fof(f1411,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f566]) ).
fof(f1410,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f565]) ).
fof(f1409,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(hd(sK61(X0)),tl(sK61(X0)))
| sP17(X0) ),
inference(resolution,[],[f466,f549]) ).
fof(f1408,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
| sP17(X0) ),
inference(resolution,[],[f466,f548]) ).
fof(f1407,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
| sP17(X0) ),
inference(resolution,[],[f466,f547]) ).
fof(f1406,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(hd(sK56(X0)),tl(sK56(X0)))
| sP15(X0) ),
inference(resolution,[],[f466,f538]) ).
fof(f1405,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
| sP15(X0) ),
inference(resolution,[],[f466,f537]) ).
fof(f1404,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
| sP15(X0) ),
inference(resolution,[],[f466,f536]) ).
fof(f1403,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(hd(sK51(X0)),tl(sK51(X0)))
| sP13(X0) ),
inference(resolution,[],[f466,f526]) ).
fof(f1402,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
| sP13(X0) ),
inference(resolution,[],[f466,f525]) ).
fof(f1401,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
| sP13(X0) ),
inference(resolution,[],[f466,f524]) ).
fof(f1400,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(hd(sK46(X0)),tl(sK46(X0)))
| sP11(X0) ),
inference(resolution,[],[f466,f514]) ).
fof(f1399,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
| sP11(X0) ),
inference(resolution,[],[f466,f513]) ).
fof(f1398,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
| sP11(X0) ),
inference(resolution,[],[f466,f512]) ).
fof(f1397,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(hd(sK41(X0)),tl(sK41(X0)))
| sP9(X0) ),
inference(resolution,[],[f466,f502]) ).
fof(f1396,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
| sP9(X0) ),
inference(resolution,[],[f466,f501]) ).
fof(f1395,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
| sP9(X0) ),
inference(resolution,[],[f466,f500]) ).
fof(f1394,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(hd(sK36(X0)),tl(sK36(X0)))
| sP7(X0) ),
inference(resolution,[],[f466,f491]) ).
fof(f1393,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
| sP7(X0) ),
inference(resolution,[],[f466,f490]) ).
fof(f1392,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
| sP7(X0) ),
inference(resolution,[],[f466,f489]) ).
fof(f1391,plain,
! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(hd(sK31(X0)),tl(sK31(X0)))
| sP5(X0) ),
inference(resolution,[],[f466,f480]) ).
fof(f1390,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
| sP5(X0) ),
inference(resolution,[],[f466,f479]) ).
fof(f1389,plain,
! [X0] :
( nil = sK26(X0)
| sK26(X0) = cons(hd(sK26(X0)),tl(sK26(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f469]) ).
fof(f1388,plain,
! [X0] :
( nil = sK23(X0)
| sK23(X0) = cons(hd(sK23(X0)),tl(sK23(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f461]) ).
fof(f1383,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f465]) ).
fof(f1381,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f569]) ).
fof(f1416,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1380,f560]) ).
fof(f1380,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f466,f559]) ).
fof(f466,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f1306,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(sK24(sK67(X0,X1)),sK23(sK67(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f585]) ).
fof(f1305,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK24(sK66(X0,X1)),sK23(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f582]) ).
fof(f1304,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK24(sK65(X0,X1)),sK23(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f581]) ).
fof(f1303,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK24(sK64(X0,X1)),sK23(sK64(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f578]) ).
fof(f1302,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(sK24(sK63(X0,X1)),sK23(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f566]) ).
fof(f1301,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(sK24(sK62(X0,X1)),sK23(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f565]) ).
fof(f1300,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(sK24(sK61(X0)),sK23(sK61(X0)))
| sP17(X0) ),
inference(resolution,[],[f463,f549]) ).
fof(f1299,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(sK24(sK60(X0)),sK23(sK60(X0)))
| sP17(X0) ),
inference(resolution,[],[f463,f548]) ).
fof(f1298,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(sK24(sK59(X0)),sK23(sK59(X0)))
| sP17(X0) ),
inference(resolution,[],[f463,f547]) ).
fof(f1297,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(sK24(sK56(X0)),sK23(sK56(X0)))
| sP15(X0) ),
inference(resolution,[],[f463,f538]) ).
fof(f1296,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(sK24(sK55(X0)),sK23(sK55(X0)))
| sP15(X0) ),
inference(resolution,[],[f463,f537]) ).
fof(f1295,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(sK24(sK54(X0)),sK23(sK54(X0)))
| sP15(X0) ),
inference(resolution,[],[f463,f536]) ).
fof(f1294,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(sK24(sK51(X0)),sK23(sK51(X0)))
| sP13(X0) ),
inference(resolution,[],[f463,f526]) ).
fof(f1293,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(sK24(sK50(X0)),sK23(sK50(X0)))
| sP13(X0) ),
inference(resolution,[],[f463,f525]) ).
fof(f1292,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(sK24(sK49(X0)),sK23(sK49(X0)))
| sP13(X0) ),
inference(resolution,[],[f463,f524]) ).
fof(f1291,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(sK24(sK46(X0)),sK23(sK46(X0)))
| sP11(X0) ),
inference(resolution,[],[f463,f514]) ).
fof(f1290,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(sK24(sK45(X0)),sK23(sK45(X0)))
| sP11(X0) ),
inference(resolution,[],[f463,f513]) ).
fof(f1289,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(sK24(sK44(X0)),sK23(sK44(X0)))
| sP11(X0) ),
inference(resolution,[],[f463,f512]) ).
fof(f1288,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(sK24(sK41(X0)),sK23(sK41(X0)))
| sP9(X0) ),
inference(resolution,[],[f463,f502]) ).
fof(f1287,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(sK24(sK40(X0)),sK23(sK40(X0)))
| sP9(X0) ),
inference(resolution,[],[f463,f501]) ).
fof(f1286,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(sK24(sK39(X0)),sK23(sK39(X0)))
| sP9(X0) ),
inference(resolution,[],[f463,f500]) ).
fof(f1285,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(sK24(sK36(X0)),sK23(sK36(X0)))
| sP7(X0) ),
inference(resolution,[],[f463,f491]) ).
fof(f1284,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(sK24(sK35(X0)),sK23(sK35(X0)))
| sP7(X0) ),
inference(resolution,[],[f463,f490]) ).
fof(f1283,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(sK24(sK34(X0)),sK23(sK34(X0)))
| sP7(X0) ),
inference(resolution,[],[f463,f489]) ).
fof(f1282,plain,
! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(sK24(sK31(X0)),sK23(sK31(X0)))
| sP5(X0) ),
inference(resolution,[],[f463,f480]) ).
fof(f1281,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(sK24(sK30(X0)),sK23(sK30(X0)))
| sP5(X0) ),
inference(resolution,[],[f463,f479]) ).
fof(f1280,plain,
! [X0] :
( nil = sK26(X0)
| sK26(X0) = cons(sK24(sK26(X0)),sK23(sK26(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f463,f469]) ).
fof(f1279,plain,
! [X0] :
( nil = sK23(X0)
| sK23(X0) = cons(sK24(sK23(X0)),sK23(sK23(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f463,f461]) ).
fof(f1274,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK24(tl(X0)),sK23(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f463,f465]) ).
fof(f1272,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK24(app(X0,X1)),sK23(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f463,f569]) ).
fof(f1307,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK24(cons(X0,X1)),sK23(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1271,f560]) ).
fof(f1271,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK24(cons(X0,X1)),sK23(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f463,f559]) ).
fof(f463,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK24(X0),sK23(X0)) = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( cons(sK24(X0),sK23(X0)) = X0
& ssItem(sK24(X0))
& ssList(sK23(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f149,f279,f278]) ).
fof(f278,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK23(X0)) = X0
& ssItem(X2) )
& ssList(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK23(X0)) = X0
& ssItem(X2) )
=> ( cons(sK24(X0),sK23(X0)) = X0
& ssItem(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f1266,plain,
! [X0,X1] :
( sK20 = tl(cons(sK58(cons(X0,X1)),sK20))
| ~ ssList(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f1138,f442]) ).
fof(f1138,plain,
! [X0] :
( strictorderedP(X0)
| sK20 = tl(cons(sK58(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f973,f656]) ).
fof(f1265,plain,
! [X0,X1] :
( sK20 = tl(cons(sK57(cons(X0,X1)),sK20))
| ~ ssList(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f1137,f442]) ).
fof(f1137,plain,
! [X0] :
( strictorderedP(X0)
| sK20 = tl(cons(sK57(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f972,f656]) ).
fof(f1264,plain,
! [X0,X1] :
( sK20 = tl(cons(sK53(cons(X0,X1)),sK20))
| ~ ssList(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(resolution,[],[f1136,f434]) ).
fof(f1136,plain,
! [X0] :
( totalorderedP(X0)
| sK20 = tl(cons(sK53(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f971,f654]) ).
fof(f1263,plain,
! [X0,X1] :
( sK20 = tl(cons(sK52(cons(X0,X1)),sK20))
| ~ ssList(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(resolution,[],[f1135,f434]) ).
fof(f1135,plain,
! [X0] :
( totalorderedP(X0)
| sK20 = tl(cons(sK52(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f970,f654]) ).
fof(f1260,plain,
! [X0] :
( sK20 = tl(cons(sK27(cons(X0,nil)),sK20))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1259,plain,
! [X0] :
( sK20 = tl(cons(sK27(cons(X0,nil)),sK20))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f959,f616]) ).
fof(f959,plain,
! [X0] :
( ~ singletonP(X0)
| sK20 = tl(cons(sK27(X0),sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f907,f471]) ).
fof(f1248,plain,
! [X0] :
( ~ lt(X0,sK69)
| sP3(cons(sK69,sK20),X0)
| ~ strictorderedP(cons(sK69,sK20))
| nil = cons(sK69,sK20) ),
inference(superposition,[],[f448,f1055]) ).
fof(f1247,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP3(cons(sK68,sK20),X0)
| ~ strictorderedP(cons(sK68,sK20))
| nil = cons(sK68,sK20) ),
inference(superposition,[],[f448,f1054]) ).
fof(f448,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP3(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1227,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f978,f471]) ).
fof(f1226,plain,
! [X0] :
( sK25(X0) = hd(cons(sK25(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f467]) ).
fof(f1225,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f462]) ).
fof(f1224,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f464]) ).
fof(f978,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f563,f397]) ).
fof(f1207,plain,
! [X0] :
( nil = tl(cons(sK27(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f904,f471]) ).
fof(f1206,plain,
! [X0] :
( nil = tl(cons(sK25(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f904,f467]) ).
fof(f1205,plain,
! [X0] :
( nil = tl(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f904,f462]) ).
fof(f1204,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f904,f464]) ).
fof(f904,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f562,f397]) ).
fof(f1190,plain,
! [X0] :
( ~ leq(X0,sK69)
| sP1(cons(sK69,sK20),X0)
| ~ totalorderedP(cons(sK69,sK20))
| nil = cons(sK69,sK20) ),
inference(superposition,[],[f440,f1055]) ).
fof(f1189,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP1(cons(sK68,sK20),X0)
| ~ totalorderedP(cons(sK68,sK20))
| nil = cons(sK68,sK20) ),
inference(superposition,[],[f440,f1054]) ).
fof(f1186,plain,
! [X0] :
( sP1(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f440,f401]) ).
fof(f440,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP1(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1184,plain,
! [X0] :
( sK58(X0) = hd(cons(sK58(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1053,f656]) ).
fof(f1053,plain,
! [X0] :
( sP17(X0)
| sK58(X0) = hd(cons(sK58(X0),sK20)) ),
inference(resolution,[],[f981,f546]) ).
fof(f1183,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1052,f656]) ).
fof(f1052,plain,
! [X0] :
( sP17(X0)
| sK57(X0) = hd(cons(sK57(X0),sK20)) ),
inference(resolution,[],[f981,f545]) ).
fof(f1182,plain,
! [X0] :
( sK53(X0) = hd(cons(sK53(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1051,f654]) ).
fof(f1051,plain,
! [X0] :
( sP15(X0)
| sK53(X0) = hd(cons(sK53(X0),sK20)) ),
inference(resolution,[],[f981,f535]) ).
fof(f1181,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1050,f654]) ).
fof(f1050,plain,
! [X0] :
( sP15(X0)
| sK52(X0) = hd(cons(sK52(X0),sK20)) ),
inference(resolution,[],[f981,f534]) ).
fof(f1049,plain,
! [X0] :
( sP13(X0)
| sK48(X0) = hd(cons(sK48(X0),sK20)) ),
inference(resolution,[],[f981,f523]) ).
fof(f1048,plain,
! [X0] :
( sP13(X0)
| sK47(X0) = hd(cons(sK47(X0),sK20)) ),
inference(resolution,[],[f981,f522]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) ),
inference(resolution,[],[f585,f459]) ).
fof(f1179,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) ),
inference(resolution,[],[f585,f460]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK25(sK67(X0,X1)) ),
inference(resolution,[],[f585,f468]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK26(sK67(X0,X1)) ),
inference(resolution,[],[f585,f470]) ).
fof(f1176,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) ),
inference(resolution,[],[f585,f562]) ).
fof(f1175,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f585,f563]) ).
fof(f585,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1047,plain,
! [X0] :
( sP11(X0)
| sK43(X0) = hd(cons(sK43(X0),sK20)) ),
inference(resolution,[],[f981,f511]) ).
fof(f1046,plain,
! [X0] :
( sP11(X0)
| sK42(X0) = hd(cons(sK42(X0),sK20)) ),
inference(resolution,[],[f981,f510]) ).
fof(f1045,plain,
! [X0] :
( sP9(X0)
| sK38(X0) = hd(cons(sK38(X0),sK20)) ),
inference(resolution,[],[f981,f499]) ).
fof(f1044,plain,
! [X0] :
( sP9(X0)
| sK37(X0) = hd(cons(sK37(X0),sK20)) ),
inference(resolution,[],[f981,f498]) ).
fof(f1043,plain,
! [X0] :
( sP7(X0)
| sK33(X0) = hd(cons(sK33(X0),sK20)) ),
inference(resolution,[],[f981,f488]) ).
fof(f1042,plain,
! [X0] :
( sP7(X0)
| sK32(X0) = hd(cons(sK32(X0),sK20)) ),
inference(resolution,[],[f981,f487]) ).
fof(f1041,plain,
! [X0] :
( sP5(X0)
| sK29(X0) = hd(cons(sK29(X0),sK20)) ),
inference(resolution,[],[f981,f478]) ).
fof(f1040,plain,
! [X0] :
( sP5(X0)
| sK28(X0) = hd(cons(sK28(X0),sK20)) ),
inference(resolution,[],[f981,f477]) ).
fof(f1171,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f582,f459]) ).
fof(f1170,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f582,f460]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK25(sK66(X0,X1)) ),
inference(resolution,[],[f582,f468]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK26(sK66(X0,X1)) ),
inference(resolution,[],[f582,f470]) ).
fof(f1167,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f582,f562]) ).
fof(f1166,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f582,f563]) ).
fof(f582,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1154,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f581,f459]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f581,f460]) ).
fof(f1152,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK25(sK65(X0,X1)) ),
inference(resolution,[],[f581,f468]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK26(sK65(X0,X1)) ),
inference(resolution,[],[f581,f470]) ).
fof(f1150,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f581,f562]) ).
fof(f1149,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f581,f563]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ),
inference(resolution,[],[f578,f459]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
inference(resolution,[],[f578,f460]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK25(sK64(X0,X1)) ),
inference(resolution,[],[f578,f468]) ).
fof(f1141,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK26(sK64(X0,X1)) ),
inference(resolution,[],[f578,f470]) ).
fof(f1140,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
inference(resolution,[],[f578,f562]) ).
fof(f1139,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f578,f563]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f973,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK58(X0),sK20)) ),
inference(resolution,[],[f907,f546]) ).
fof(f972,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK57(X0),sK20)) ),
inference(resolution,[],[f907,f545]) ).
fof(f971,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK53(X0),sK20)) ),
inference(resolution,[],[f907,f535]) ).
fof(f970,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK52(X0),sK20)) ),
inference(resolution,[],[f907,f534]) ).
fof(f969,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK48(X0),sK20)) ),
inference(resolution,[],[f907,f523]) ).
fof(f968,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK47(X0),sK20)) ),
inference(resolution,[],[f907,f522]) ).
fof(f967,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK43(X0),sK20)) ),
inference(resolution,[],[f907,f511]) ).
fof(f966,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK42(X0),sK20)) ),
inference(resolution,[],[f907,f510]) ).
fof(f1134,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(sK63(X0,X1),nil) ),
inference(resolution,[],[f566,f459]) ).
fof(f1133,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
inference(resolution,[],[f566,f460]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| hd(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
inference(resolution,[],[f566,f468]) ).
fof(f1131,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| tl(sK63(X0,X1)) = sK26(sK63(X0,X1)) ),
inference(resolution,[],[f566,f470]) ).
fof(f1130,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
inference(resolution,[],[f566,f562]) ).
fof(f1129,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK63(X0,X1))) = X2 ),
inference(resolution,[],[f566,f563]) ).
fof(f566,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f965,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK38(X0),sK20)) ),
inference(resolution,[],[f907,f499]) ).
fof(f964,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK37(X0),sK20)) ),
inference(resolution,[],[f907,f498]) ).
fof(f963,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK33(X0),sK20)) ),
inference(resolution,[],[f907,f488]) ).
fof(f962,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK32(X0),sK20)) ),
inference(resolution,[],[f907,f487]) ).
fof(f961,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK29(X0),sK20)) ),
inference(resolution,[],[f907,f478]) ).
fof(f960,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK28(X0),sK20)) ),
inference(resolution,[],[f907,f477]) ).
fof(f1123,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(sK62(X0,X1),nil) ),
inference(resolution,[],[f565,f459]) ).
fof(f1122,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
inference(resolution,[],[f565,f460]) ).
fof(f1121,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| hd(sK62(X0,X1)) = sK25(sK62(X0,X1)) ),
inference(resolution,[],[f565,f468]) ).
fof(f1120,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| tl(sK62(X0,X1)) = sK26(sK62(X0,X1)) ),
inference(resolution,[],[f565,f470]) ).
fof(f1119,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ),
inference(resolution,[],[f565,f562]) ).
fof(f1118,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK62(X0,X1))) = X2 ),
inference(resolution,[],[f565,f563]) ).
fof(f565,plain,
! [X0,X1] :
( ssList(sK62(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f1105,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK27(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1104,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK27(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f616,f472]) ).
fof(f616,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK27(X0),nil) = X0
& ssItem(sK27(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f286,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK27(X0),nil) = X0
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f577,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1060,plain,
! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,sK20)
| ~ sP1(cons(sK69,sK20),X0) ),
inference(superposition,[],[f438,f1055]) ).
fof(f1059,plain,
! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,sK20)
| ~ sP3(cons(sK69,sK20),X0) ),
inference(superposition,[],[f446,f1055]) ).
fof(f1055,plain,
sK69 = hd(cons(sK69,sK20)),
inference(resolution,[],[f981,f604]) ).
fof(f1057,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK20)
| ~ sP1(cons(sK68,sK20),X0) ),
inference(superposition,[],[f438,f1054]) ).
fof(f1056,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK20)
| ~ sP3(cons(sK68,sK20),X0) ),
inference(superposition,[],[f446,f1054]) ).
fof(f1054,plain,
sK68 = hd(cons(sK68,sK20)),
inference(resolution,[],[f981,f603]) ).
fof(f1038,plain,
! [X0] :
( sK25(X0) = hd(cons(sK25(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f981,f467]) ).
fof(f1037,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f981,f462]) ).
fof(f1036,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f981,f464]) ).
fof(f981,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f563,f382]) ).
fof(f1034,plain,
! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,sK19)
| ~ sP1(cons(sK69,sK19),X0) ),
inference(superposition,[],[f438,f1029]) ).
fof(f1033,plain,
! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,sK19)
| ~ sP3(cons(sK69,sK19),X0) ),
inference(superposition,[],[f446,f1029]) ).
fof(f1029,plain,
sK69 = hd(cons(sK69,sK19)),
inference(resolution,[],[f980,f604]) ).
fof(f1031,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP1(cons(sK68,sK19),X0) ),
inference(superposition,[],[f438,f1028]) ).
fof(f1030,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP3(cons(sK68,sK19),X0) ),
inference(superposition,[],[f446,f1028]) ).
fof(f1028,plain,
sK68 = hd(cons(sK68,sK19)),
inference(resolution,[],[f980,f603]) ).
fof(f1012,plain,
! [X0] :
( sK25(X0) = hd(cons(sK25(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f980,f467]) ).
fof(f1011,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f980,f462]) ).
fof(f1010,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f980,f464]) ).
fof(f980,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f563,f381]) ).
fof(f975,plain,
sK20 = tl(cons(sK69,sK20)),
inference(resolution,[],[f907,f604]) ).
fof(f974,plain,
sK20 = tl(cons(sK68,sK20)),
inference(resolution,[],[f907,f603]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f563,f549]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f563,f548]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK59(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f563,f547]) ).
fof(f1002,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f563,f538]) ).
fof(f1001,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f563,f537]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK54(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f563,f536]) ).
fof(f999,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f563,f526]) ).
fof(f998,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f563,f525]) ).
fof(f997,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK49(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f563,f524]) ).
fof(f996,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f563,f514]) ).
fof(f995,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f563,f513]) ).
fof(f994,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK44(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f563,f512]) ).
fof(f993,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f563,f502]) ).
fof(f992,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f563,f501]) ).
fof(f991,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK39(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f563,f500]) ).
fof(f990,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f563,f491]) ).
fof(f989,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f563,f490]) ).
fof(f988,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK34(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f563,f489]) ).
fof(f987,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK31(X1))) = X0
| sP5(X1) ),
inference(resolution,[],[f563,f480]) ).
fof(f986,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK30(X1))) = X0
| sP5(X1) ),
inference(resolution,[],[f563,f479]) ).
fof(f985,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK26(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f469]) ).
fof(f984,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK23(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f461]) ).
fof(f1007,plain,
! [X0] :
( hd(cons(X0,sK20)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f983,f385]) ).
fof(f983,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22)) = X0 ),
inference(resolution,[],[f563,f384]) ).
fof(f1006,plain,
! [X0] :
( hd(cons(X0,sK19)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f982,f386]) ).
fof(f982,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f563,f383]) ).
fof(f979,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f563,f465]) ).
fof(f977,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f563,f569]) ).
fof(f976,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f563,f559]) ).
fof(f563,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f907,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f562,f382]) ).
fof(f953,plain,
sK19 = tl(cons(sK69,sK19)),
inference(resolution,[],[f906,f604]) ).
fof(f952,plain,
sK19 = tl(cons(sK68,sK19)),
inference(resolution,[],[f906,f603]) ).
fof(f906,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f562,f381]) ).
fof(f931,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP17(X1) ),
inference(resolution,[],[f562,f549]) ).
fof(f930,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP17(X1) ),
inference(resolution,[],[f562,f548]) ).
fof(f929,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK59(X1) = tl(cons(X0,sK59(X1)))
| sP17(X1) ),
inference(resolution,[],[f562,f547]) ).
fof(f928,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP15(X1) ),
inference(resolution,[],[f562,f538]) ).
fof(f927,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP15(X1) ),
inference(resolution,[],[f562,f537]) ).
fof(f926,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK54(X1) = tl(cons(X0,sK54(X1)))
| sP15(X1) ),
inference(resolution,[],[f562,f536]) ).
fof(f925,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP13(X1) ),
inference(resolution,[],[f562,f526]) ).
fof(f924,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP13(X1) ),
inference(resolution,[],[f562,f525]) ).
fof(f923,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK49(X1) = tl(cons(X0,sK49(X1)))
| sP13(X1) ),
inference(resolution,[],[f562,f524]) ).
fof(f922,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP11(X1) ),
inference(resolution,[],[f562,f514]) ).
fof(f921,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP11(X1) ),
inference(resolution,[],[f562,f513]) ).
fof(f920,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK44(X1) = tl(cons(X0,sK44(X1)))
| sP11(X1) ),
inference(resolution,[],[f562,f512]) ).
fof(f919,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP9(X1) ),
inference(resolution,[],[f562,f502]) ).
fof(f918,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP9(X1) ),
inference(resolution,[],[f562,f501]) ).
fof(f917,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK39(X1) = tl(cons(X0,sK39(X1)))
| sP9(X1) ),
inference(resolution,[],[f562,f500]) ).
fof(f916,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP7(X1) ),
inference(resolution,[],[f562,f491]) ).
fof(f915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP7(X1) ),
inference(resolution,[],[f562,f490]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK34(X1) = tl(cons(X0,sK34(X1)))
| sP7(X1) ),
inference(resolution,[],[f562,f489]) ).
fof(f913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK31(X1) = tl(cons(X0,sK31(X1)))
| sP5(X1) ),
inference(resolution,[],[f562,f480]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK30(X1) = tl(cons(X0,sK30(X1)))
| sP5(X1) ),
inference(resolution,[],[f562,f479]) ).
fof(f911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK26(X1) = tl(cons(X0,sK26(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f469]) ).
fof(f910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK23(X1) = tl(cons(X0,sK23(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f461]) ).
fof(f933,plain,
! [X0] :
( sK20 = tl(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f909,f385]) ).
fof(f909,plain,
! [X0] :
( ~ ssItem(X0)
| sK22 = tl(cons(X0,sK22)) ),
inference(resolution,[],[f562,f384]) ).
fof(f932,plain,
! [X0] :
( sK19 = tl(cons(X0,sK19))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f908,f386]) ).
fof(f908,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f562,f383]) ).
fof(f905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f465]) ).
fof(f903,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f562,f569]) ).
fof(f902,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f562,f559]) ).
fof(f562,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f472,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK27(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f890,plain,
! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK26(sK61(X0))
| sP17(X0) ),
inference(resolution,[],[f470,f549]) ).
fof(f889,plain,
! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK26(sK60(X0))
| sP17(X0) ),
inference(resolution,[],[f470,f548]) ).
fof(f888,plain,
! [X0] :
( nil = sK59(X0)
| tl(sK59(X0)) = sK26(sK59(X0))
| sP17(X0) ),
inference(resolution,[],[f470,f547]) ).
fof(f887,plain,
! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK26(sK56(X0))
| sP15(X0) ),
inference(resolution,[],[f470,f538]) ).
fof(f886,plain,
! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK26(sK55(X0))
| sP15(X0) ),
inference(resolution,[],[f470,f537]) ).
fof(f885,plain,
! [X0] :
( nil = sK54(X0)
| tl(sK54(X0)) = sK26(sK54(X0))
| sP15(X0) ),
inference(resolution,[],[f470,f536]) ).
fof(f884,plain,
! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK26(sK51(X0))
| sP13(X0) ),
inference(resolution,[],[f470,f526]) ).
fof(f883,plain,
! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK26(sK50(X0))
| sP13(X0) ),
inference(resolution,[],[f470,f525]) ).
fof(f882,plain,
! [X0] :
( nil = sK49(X0)
| tl(sK49(X0)) = sK26(sK49(X0))
| sP13(X0) ),
inference(resolution,[],[f470,f524]) ).
fof(f881,plain,
! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK26(sK46(X0))
| sP11(X0) ),
inference(resolution,[],[f470,f514]) ).
fof(f880,plain,
! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK26(sK45(X0))
| sP11(X0) ),
inference(resolution,[],[f470,f513]) ).
fof(f879,plain,
! [X0] :
( nil = sK44(X0)
| tl(sK44(X0)) = sK26(sK44(X0))
| sP11(X0) ),
inference(resolution,[],[f470,f512]) ).
fof(f878,plain,
! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK26(sK41(X0))
| sP9(X0) ),
inference(resolution,[],[f470,f502]) ).
fof(f877,plain,
! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK26(sK40(X0))
| sP9(X0) ),
inference(resolution,[],[f470,f501]) ).
fof(f876,plain,
! [X0] :
( nil = sK39(X0)
| tl(sK39(X0)) = sK26(sK39(X0))
| sP9(X0) ),
inference(resolution,[],[f470,f500]) ).
fof(f875,plain,
! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK26(sK36(X0))
| sP7(X0) ),
inference(resolution,[],[f470,f491]) ).
fof(f874,plain,
! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK26(sK35(X0))
| sP7(X0) ),
inference(resolution,[],[f470,f490]) ).
fof(f873,plain,
! [X0] :
( nil = sK34(X0)
| tl(sK34(X0)) = sK26(sK34(X0))
| sP7(X0) ),
inference(resolution,[],[f470,f489]) ).
fof(f872,plain,
! [X0] :
( nil = sK31(X0)
| tl(sK31(X0)) = sK26(sK31(X0))
| sP5(X0) ),
inference(resolution,[],[f470,f480]) ).
fof(f871,plain,
! [X0] :
( nil = sK30(X0)
| tl(sK30(X0)) = sK26(sK30(X0))
| sP5(X0) ),
inference(resolution,[],[f470,f479]) ).
fof(f870,plain,
! [X0] :
( nil = sK26(X0)
| tl(sK26(X0)) = sK26(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f469]) ).
fof(f869,plain,
! [X0] :
( nil = sK23(X0)
| tl(sK23(X0)) = sK26(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f461]) ).
fof(f864,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK26(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f470,f465]) ).
fof(f862,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK26(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f470,f569]) ).
fof(f891,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f861,f560]) ).
fof(f861,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f470,f559]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK26(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( tl(X0) = sK26(X0)
& ssList(sK26(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f159,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK26(X0)
& ssList(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f818,plain,
( nil = sK20
| hd(sK20) = sK25(sK20) ),
inference(resolution,[],[f468,f382]) ).
fof(f842,plain,
! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK25(sK61(X0))
| sP17(X0) ),
inference(resolution,[],[f468,f549]) ).
fof(f841,plain,
! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK25(sK60(X0))
| sP17(X0) ),
inference(resolution,[],[f468,f548]) ).
fof(f840,plain,
! [X0] :
( nil = sK59(X0)
| hd(sK59(X0)) = sK25(sK59(X0))
| sP17(X0) ),
inference(resolution,[],[f468,f547]) ).
fof(f839,plain,
! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK25(sK56(X0))
| sP15(X0) ),
inference(resolution,[],[f468,f538]) ).
fof(f838,plain,
! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK25(sK55(X0))
| sP15(X0) ),
inference(resolution,[],[f468,f537]) ).
fof(f837,plain,
! [X0] :
( nil = sK54(X0)
| hd(sK54(X0)) = sK25(sK54(X0))
| sP15(X0) ),
inference(resolution,[],[f468,f536]) ).
fof(f836,plain,
! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK25(sK51(X0))
| sP13(X0) ),
inference(resolution,[],[f468,f526]) ).
fof(f835,plain,
! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK25(sK50(X0))
| sP13(X0) ),
inference(resolution,[],[f468,f525]) ).
fof(f834,plain,
! [X0] :
( nil = sK49(X0)
| hd(sK49(X0)) = sK25(sK49(X0))
| sP13(X0) ),
inference(resolution,[],[f468,f524]) ).
fof(f833,plain,
! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK25(sK46(X0))
| sP11(X0) ),
inference(resolution,[],[f468,f514]) ).
fof(f832,plain,
! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK25(sK45(X0))
| sP11(X0) ),
inference(resolution,[],[f468,f513]) ).
fof(f831,plain,
! [X0] :
( nil = sK44(X0)
| hd(sK44(X0)) = sK25(sK44(X0))
| sP11(X0) ),
inference(resolution,[],[f468,f512]) ).
fof(f830,plain,
! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK25(sK41(X0))
| sP9(X0) ),
inference(resolution,[],[f468,f502]) ).
fof(f829,plain,
! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK25(sK40(X0))
| sP9(X0) ),
inference(resolution,[],[f468,f501]) ).
fof(f828,plain,
! [X0] :
( nil = sK39(X0)
| hd(sK39(X0)) = sK25(sK39(X0))
| sP9(X0) ),
inference(resolution,[],[f468,f500]) ).
fof(f827,plain,
! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK25(sK36(X0))
| sP7(X0) ),
inference(resolution,[],[f468,f491]) ).
fof(f826,plain,
! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK25(sK35(X0))
| sP7(X0) ),
inference(resolution,[],[f468,f490]) ).
fof(f825,plain,
! [X0] :
( nil = sK34(X0)
| hd(sK34(X0)) = sK25(sK34(X0))
| sP7(X0) ),
inference(resolution,[],[f468,f489]) ).
fof(f824,plain,
! [X0] :
( nil = sK31(X0)
| hd(sK31(X0)) = sK25(sK31(X0))
| sP5(X0) ),
inference(resolution,[],[f468,f480]) ).
fof(f823,plain,
! [X0] :
( nil = sK30(X0)
| hd(sK30(X0)) = sK25(sK30(X0))
| sP5(X0) ),
inference(resolution,[],[f468,f479]) ).
fof(f822,plain,
! [X0] :
( nil = sK26(X0)
| hd(sK26(X0)) = sK25(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f469]) ).
fof(f821,plain,
! [X0] :
( nil = sK23(X0)
| hd(sK23(X0)) = sK25(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f461]) ).
fof(f849,plain,
( hd(sK20) = sK25(sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f848,f385]) ).
fof(f848,plain,
( nil = sK20
| hd(sK22) = sK25(sK22) ),
inference(forward_demodulation,[],[f820,f385]) ).
fof(f820,plain,
( nil = sK22
| hd(sK22) = sK25(sK22) ),
inference(resolution,[],[f468,f384]) ).
fof(f816,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK25(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f468,f465]) ).
fof(f814,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK25(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f468,f569]) ).
fof(f843,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f813,f560]) ).
fof(f813,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f468,f559]) ).
fof(f468,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK25(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( hd(X0) = sK25(X0)
& ssItem(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f157,f281]) ).
fof(f281,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK25(X0)
& ssItem(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f812,plain,
! [X0,X1] :
( nil = X0
| ~ sP3(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f446,f411]) ).
fof(f811,plain,
! [X0,X1] :
( nil = X0
| ~ sP3(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f446,f421]) ).
fof(f810,plain,
! [X0] :
( nil = X0
| ~ sP3(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f446,f399]) ).
fof(f446,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f443,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0) )
& ( sP3(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP3(X1,X0) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f442,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f438,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f435,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f434,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f421,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f419,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f418,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f417,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f781,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f726,f656]) ).
fof(f726,plain,
! [X0] :
( sP17(X0)
| sK61(X0) = app(nil,sK61(X0)) ),
inference(resolution,[],[f460,f549]) ).
fof(f780,plain,
! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f725,f656]) ).
fof(f725,plain,
! [X0] :
( sP17(X0)
| sK60(X0) = app(nil,sK60(X0)) ),
inference(resolution,[],[f460,f548]) ).
fof(f779,plain,
! [X0] :
( sK59(X0) = app(nil,sK59(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f724,f656]) ).
fof(f724,plain,
! [X0] :
( sP17(X0)
| sK59(X0) = app(nil,sK59(X0)) ),
inference(resolution,[],[f460,f547]) ).
fof(f777,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f776,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f415,f409]) ).
fof(f415,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f774,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f723,f654]) ).
fof(f723,plain,
! [X0] :
( sP15(X0)
| sK56(X0) = app(nil,sK56(X0)) ),
inference(resolution,[],[f460,f538]) ).
fof(f773,plain,
! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f722,f654]) ).
fof(f722,plain,
! [X0] :
( sP15(X0)
| sK55(X0) = app(nil,sK55(X0)) ),
inference(resolution,[],[f460,f537]) ).
fof(f772,plain,
! [X0] :
( sK54(X0) = app(nil,sK54(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f721,f654]) ).
fof(f721,plain,
! [X0] :
( sP15(X0)
| sK54(X0) = app(nil,sK54(X0)) ),
inference(resolution,[],[f460,f536]) ).
fof(f720,plain,
! [X0] :
( sP13(X0)
| sK51(X0) = app(nil,sK51(X0)) ),
inference(resolution,[],[f460,f526]) ).
fof(f719,plain,
! [X0] :
( sP13(X0)
| sK50(X0) = app(nil,sK50(X0)) ),
inference(resolution,[],[f460,f525]) ).
fof(f718,plain,
! [X0] :
( sP13(X0)
| sK49(X0) = app(nil,sK49(X0)) ),
inference(resolution,[],[f460,f524]) ).
fof(f717,plain,
! [X0] :
( sP11(X0)
| sK46(X0) = app(nil,sK46(X0)) ),
inference(resolution,[],[f460,f514]) ).
fof(f716,plain,
! [X0] :
( sP11(X0)
| sK45(X0) = app(nil,sK45(X0)) ),
inference(resolution,[],[f460,f513]) ).
fof(f715,plain,
! [X0] :
( sP11(X0)
| sK44(X0) = app(nil,sK44(X0)) ),
inference(resolution,[],[f460,f512]) ).
fof(f714,plain,
! [X0] :
( sP9(X0)
| sK41(X0) = app(nil,sK41(X0)) ),
inference(resolution,[],[f460,f502]) ).
fof(f713,plain,
! [X0] :
( sP9(X0)
| sK40(X0) = app(nil,sK40(X0)) ),
inference(resolution,[],[f460,f501]) ).
fof(f414,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f712,plain,
! [X0] :
( sP9(X0)
| sK39(X0) = app(nil,sK39(X0)) ),
inference(resolution,[],[f460,f500]) ).
fof(f711,plain,
! [X0] :
( sP7(X0)
| sK36(X0) = app(nil,sK36(X0)) ),
inference(resolution,[],[f460,f491]) ).
fof(f710,plain,
! [X0] :
( sP7(X0)
| sK35(X0) = app(nil,sK35(X0)) ),
inference(resolution,[],[f460,f490]) ).
fof(f709,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = app(nil,sK34(X0)) ),
inference(resolution,[],[f460,f489]) ).
fof(f708,plain,
! [X0] :
( sP5(X0)
| sK31(X0) = app(nil,sK31(X0)) ),
inference(resolution,[],[f460,f480]) ).
fof(f707,plain,
! [X0] :
( sP5(X0)
| sK30(X0) = app(nil,sK30(X0)) ),
inference(resolution,[],[f460,f479]) ).
fof(f771,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f699,f656]) ).
fof(f699,plain,
! [X0] :
( sP17(X0)
| sK61(X0) = app(sK61(X0),nil) ),
inference(resolution,[],[f459,f549]) ).
fof(f770,plain,
! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f698,f656]) ).
fof(f698,plain,
! [X0] :
( sP17(X0)
| sK60(X0) = app(sK60(X0),nil) ),
inference(resolution,[],[f459,f548]) ).
fof(f769,plain,
! [X0] :
( sK59(X0) = app(sK59(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f697,f656]) ).
fof(f697,plain,
! [X0] :
( sP17(X0)
| sK59(X0) = app(sK59(X0),nil) ),
inference(resolution,[],[f459,f547]) ).
fof(f768,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f696,f654]) ).
fof(f696,plain,
! [X0] :
( sP15(X0)
| sK56(X0) = app(sK56(X0),nil) ),
inference(resolution,[],[f459,f538]) ).
fof(f767,plain,
! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f695,f654]) ).
fof(f695,plain,
! [X0] :
( sP15(X0)
| sK55(X0) = app(sK55(X0),nil) ),
inference(resolution,[],[f459,f537]) ).
fof(f411,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f766,plain,
! [X0] :
( sK54(X0) = app(sK54(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f694,f654]) ).
fof(f694,plain,
! [X0] :
( sP15(X0)
| sK54(X0) = app(sK54(X0),nil) ),
inference(resolution,[],[f459,f536]) ).
fof(f693,plain,
! [X0] :
( sP13(X0)
| sK51(X0) = app(sK51(X0),nil) ),
inference(resolution,[],[f459,f526]) ).
fof(f692,plain,
! [X0] :
( sP13(X0)
| sK50(X0) = app(sK50(X0),nil) ),
inference(resolution,[],[f459,f525]) ).
fof(f691,plain,
! [X0] :
( sP13(X0)
| sK49(X0) = app(sK49(X0),nil) ),
inference(resolution,[],[f459,f524]) ).
fof(f690,plain,
! [X0] :
( sP11(X0)
| sK46(X0) = app(sK46(X0),nil) ),
inference(resolution,[],[f459,f514]) ).
fof(f689,plain,
! [X0] :
( sP11(X0)
| sK45(X0) = app(sK45(X0),nil) ),
inference(resolution,[],[f459,f513]) ).
fof(f688,plain,
! [X0] :
( sP11(X0)
| sK44(X0) = app(sK44(X0),nil) ),
inference(resolution,[],[f459,f512]) ).
fof(f687,plain,
! [X0] :
( sP9(X0)
| sK41(X0) = app(sK41(X0),nil) ),
inference(resolution,[],[f459,f502]) ).
fof(f686,plain,
! [X0] :
( sP9(X0)
| sK40(X0) = app(sK40(X0),nil) ),
inference(resolution,[],[f459,f501]) ).
fof(f685,plain,
! [X0] :
( sP9(X0)
| sK39(X0) = app(sK39(X0),nil) ),
inference(resolution,[],[f459,f500]) ).
fof(f684,plain,
! [X0] :
( sP7(X0)
| sK36(X0) = app(sK36(X0),nil) ),
inference(resolution,[],[f459,f491]) ).
fof(f409,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f683,plain,
! [X0] :
( sP7(X0)
| sK35(X0) = app(sK35(X0),nil) ),
inference(resolution,[],[f459,f490]) ).
fof(f682,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = app(sK34(X0),nil) ),
inference(resolution,[],[f459,f489]) ).
fof(f681,plain,
! [X0] :
( sP5(X0)
| sK31(X0) = app(sK31(X0),nil) ),
inference(resolution,[],[f459,f480]) ).
fof(f680,plain,
! [X0] :
( sP5(X0)
| sK30(X0) = app(sK30(X0),nil) ),
inference(resolution,[],[f459,f479]) ).
fof(f639,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f610]) ).
fof(f610,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f561,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f560,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f759,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f569,f459]) ).
fof(f758,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f569,f460]) ).
fof(f569,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f757,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f559,f459]) ).
fof(f756,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f559,f460]) ).
fof(f559,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f557,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f555,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f553,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f740,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK26(X0) = app(sK26(X0),nil) ),
inference(resolution,[],[f469,f459]) ).
fof(f739,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK26(X0) = app(nil,sK26(X0)) ),
inference(resolution,[],[f469,f460]) ).
fof(f469,plain,
! [X0] :
( ssList(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f467,plain,
! [X0] :
( ssItem(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f738,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f465,f459]) ).
fof(f737,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f465,f460]) ).
fof(f465,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f464,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f462,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f736,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK23(X0) = app(sK23(X0),nil) ),
inference(resolution,[],[f461,f459]) ).
fof(f735,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK23(X0) = app(nil,sK23(X0)) ),
inference(resolution,[],[f461,f460]) ).
fof(f461,plain,
! [X0] :
( ssList(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f437,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f253]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| neq(X3,nil) ),
inference(cnf_transformation,[],[f253]) ).
fof(f551,plain,
! [X0] :
( ~ lt(sK57(X0),sK58(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f540,plain,
! [X0] :
( ~ leq(sK52(X0),sK53(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f529,plain,
! [X0] :
( leq(sK48(X0),sK47(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f528,plain,
! [X0] :
( leq(sK47(X0),sK48(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f517,plain,
! [X0] :
( ~ lt(sK43(X0),sK42(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f516,plain,
! [X0] :
( ~ lt(sK42(X0),sK43(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f505,plain,
! [X0] :
( ~ leq(sK38(X0),sK37(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f504,plain,
! [X0] :
( ~ leq(sK37(X0),sK38(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f493,plain,
! [X0] :
( sP7(X0)
| sK32(X0) = sK33(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f482,plain,
! [X0] :
( sK28(X0) != sK29(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f471,plain,
! [X0] :
( ssItem(sK27(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f704,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f460,f382]) ).
fof(f703,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f460,f381]) ).
fof(f728,plain,
sK20 = app(nil,sK20),
inference(forward_demodulation,[],[f706,f385]) ).
fof(f706,plain,
sK22 = app(nil,sK22),
inference(resolution,[],[f460,f384]) ).
fof(f727,plain,
sK19 = app(nil,sK19),
inference(forward_demodulation,[],[f705,f386]) ).
fof(f705,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f460,f383]) ).
fof(f460,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f677,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f459,f382]) ).
fof(f676,plain,
sK19 = app(sK19,nil),
inference(resolution,[],[f459,f381]) ).
fof(f701,plain,
sK20 = app(sK20,nil),
inference(forward_demodulation,[],[f679,f385]) ).
fof(f679,plain,
sK22 = app(sK22,nil),
inference(resolution,[],[f459,f384]) ).
fof(f700,plain,
sK19 = app(sK19,nil),
inference(forward_demodulation,[],[f678,f386]) ).
fof(f678,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f459,f383]) ).
fof(f459,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f449,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f229,f228]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f441,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f226,f225]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f658,plain,
( sP0(sK19,sK20,sK19,sK20)
| neq(sK20,nil) ),
inference(forward_demodulation,[],[f657,f385]) ).
fof(f657,plain,
( sP0(sK19,sK22,sK19,sK20)
| neq(sK20,nil) ),
inference(forward_demodulation,[],[f387,f386]) ).
fof(f665,plain,
( sP0(sK19,sK20,sK19,sK20)
| ~ neq(sK20,nil) ),
inference(forward_demodulation,[],[f664,f385]) ).
fof(f664,plain,
( sP0(sK19,sK22,sK19,sK20)
| ~ neq(sK20,nil) ),
inference(forward_demodulation,[],[f663,f386]) ).
fof(f663,plain,
( ~ neq(sK20,nil)
| sP0(sK19,sK22,sK21,sK20) ),
inference(forward_demodulation,[],[f388,f385]) ).
fof(f656,plain,
! [X0] :
( ~ sP17(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f543,f552]) ).
fof(f655,plain,
! [X0] :
( sP17(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f542,f552]) ).
fof(f654,plain,
! [X0] :
( ~ sP15(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f532,f541]) ).
fof(f653,plain,
! [X0] :
( sP15(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f531,f541]) ).
fof(f652,plain,
! [X0] :
( sP13(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f519,f530]) ).
fof(f651,plain,
! [X0] :
( sP11(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f507,f518]) ).
fof(f650,plain,
! [X0] :
( sP9(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f495,f506]) ).
fof(f649,plain,
! [X0] :
( sP7(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f484,f494]) ).
fof(f648,plain,
! [X0] :
( sP5(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f474,f483]) ).
fof(f543,plain,
! [X0] :
( ~ sP18(X0)
| ~ sP17(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP17(X0) )
& ( sP17(X0)
| ~ strictorderedP(X0) ) )
| ~ sP18(X0) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP17(X0) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f542,plain,
! [X0] :
( ~ sP18(X0)
| ~ strictorderedP(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f532,plain,
! [X0] :
( ~ sP16(X0)
| ~ sP15(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP15(X0) )
& ( sP15(X0)
| ~ totalorderedP(X0) ) )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP15(X0) )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f531,plain,
! [X0] :
( ~ sP16(X0)
| ~ totalorderedP(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f519,plain,
! [X0] :
( ~ sP14(X0)
| ~ cyclefreeP(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP13(X0) )
& ( sP13(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP13(X0) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f507,plain,
! [X0] :
( ~ sP12(X0)
| ~ strictorderP(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP11(X0) )
& ( sP11(X0)
| ~ strictorderP(X0) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP11(X0) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f495,plain,
! [X0] :
( ~ sP10(X0)
| ~ totalorderP(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP9(X0) )
& ( sP9(X0)
| ~ totalorderP(X0) ) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP9(X0) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f484,plain,
! [X0] :
( ~ sP8(X0)
| ~ duplicatefreeP(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP7(X0) )
& ( sP7(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP7(X0) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f474,plain,
! [X0] :
( ~ sP6(X0)
| ~ equalelemsP(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP5(X0) )
& ( sP5(X0)
| ~ equalelemsP(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP5(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f408,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f407,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f406,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f405,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f404,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f403,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f402,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f645,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f380,f607,f378,f388,f387,f386,f385,f384,f383,f382,f381,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f414,f417,f641,f419,f418,f422,f421,f640,f423,f424,f425,f426,f427,f430,f639,f428,f638,f432,f431,f435,f434,f440,f612,f438,f437,f441,f443,f442,f448,f614,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f616,f472,f471,f474,f482,f481,f480,f479,f478,f477,f617,f483,f484,f493,f492,f491,f490,f489,f488,f487,f637,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f620,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f621,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f622,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f623,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f624,f552,f625,f642,f553,f626,f643,f555,f627,f644,f557,f559,f560,f561,f562,f563,f564,f628,f567,f566,f565,f569,f570,f571,f572,f573,f574,f575,f577,f636,f630,f579,f578,f631,f583,f582,f581,f632,f586,f585,f635]) ).
fof(f641,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f416]) ).
fof(f416,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f636,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f629]) ).
fof(f629,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f549,plain,
! [X0] :
( ssList(sK61(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f548,plain,
! [X0] :
( ssList(sK60(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f547,plain,
! [X0] :
( ssList(sK59(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f546,plain,
! [X0] :
( ssItem(sK58(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f545,plain,
! [X0] :
( ssItem(sK57(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f538,plain,
! [X0] :
( ssList(sK56(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f537,plain,
! [X0] :
( ssList(sK55(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f536,plain,
! [X0] :
( ssList(sK54(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f535,plain,
! [X0] :
( ssItem(sK53(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f534,plain,
! [X0] :
( ssItem(sK52(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f526,plain,
! [X0] :
( ssList(sK51(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f525,plain,
! [X0] :
( ssList(sK50(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f524,plain,
! [X0] :
( ssList(sK49(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f523,plain,
! [X0] :
( ssItem(sK48(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f522,plain,
! [X0] :
( ssItem(sK47(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f514,plain,
! [X0] :
( ssList(sK46(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f513,plain,
! [X0] :
( ssList(sK45(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f512,plain,
! [X0] :
( ssList(sK44(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f511,plain,
! [X0] :
( ssItem(sK43(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f510,plain,
! [X0] :
( ssItem(sK42(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f502,plain,
! [X0] :
( ssList(sK41(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f501,plain,
! [X0] :
( ssList(sK40(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f500,plain,
! [X0] :
( ssList(sK39(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f499,plain,
! [X0] :
( ssItem(sK38(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f498,plain,
! [X0] :
( ssItem(sK37(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f491,plain,
! [X0] :
( ssList(sK36(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f490,plain,
! [X0] :
( ssList(sK35(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f489,plain,
! [X0] :
( ssList(sK34(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f488,plain,
! [X0] :
( ssItem(sK33(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK32(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f480,plain,
! [X0] :
( ssList(sK31(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f479,plain,
! [X0] :
( ssList(sK30(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f478,plain,
! [X0] :
( ssItem(sK29(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f477,plain,
! [X0] :
( ssItem(sK28(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f458,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f457,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f456,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f455,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f454,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f453,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f401,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f400,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f399,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f398,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f552,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f174,f250,f249]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f541,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f172,f247,f246]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f530,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f170,f244,f243]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f518,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f168,f241,f240]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f506,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f166,f238,f237]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f494,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f164,f235,f234]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f483,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f162,f232,f231]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f644,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f380,f607,f378,f388,f387,f386,f385,f384,f383,f382,f381,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f414,f417,f641,f419,f418,f422,f421,f640,f423,f424,f425,f426,f427,f430,f639,f428,f638,f432,f431,f435,f434,f440,f612,f438,f437,f441,f443,f442,f448,f614,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f616,f472,f471,f474,f482,f481,f480,f479,f478,f477,f617,f483,f484,f493,f492,f491,f490,f489,f488,f487,f637,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f620,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f621,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f622,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f623,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f624,f552,f625,f642,f553,f626,f643,f555,f627]) ).
fof(f643,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f380,f607,f378,f388,f387,f386,f385,f384,f383,f382,f381,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f414,f417,f641,f419,f418,f422,f421,f640,f423,f424,f425,f426,f427,f430,f639,f428,f638,f432,f431,f435,f434,f440,f612,f438,f437,f441,f443,f442,f448,f614,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f616,f472,f471,f474,f482,f481,f480,f479,f478,f477,f617,f483,f484,f493,f492,f491,f490,f489,f488,f487,f637,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f620,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f621,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f622,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f623,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f624,f552,f625,f642,f553,f626]) ).
fof(f642,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f380,f607,f378,f388,f387,f386,f385,f384,f383,f382,f381,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f415,f414,f417,f641,f419,f418,f422,f421,f640,f423,f424,f425,f426,f427,f430,f639,f428,f638,f432,f431,f435,f434,f440,f612,f438,f437,f441,f443,f442,f448,f614,f446,f445,f449,f452,f451,f450,f453,f454,f455,f456,f457,f458,f459,f460,f463,f462,f461,f464,f465,f466,f468,f467,f470,f469,f616,f472,f471,f474,f482,f481,f480,f479,f478,f477,f617,f483,f484,f493,f492,f491,f490,f489,f488,f487,f637,f494,f495,f505,f504,f503,f502,f501,f500,f499,f498,f620,f506,f507,f517,f516,f515,f514,f513,f512,f511,f510,f621,f518,f519,f529,f528,f527,f526,f525,f524,f523,f522,f622,f530,f532,f531,f540,f539,f538,f537,f536,f535,f534,f623,f541,f543,f542,f551,f550,f549,f548,f547,f546,f545,f624,f552,f625]) ).
fof(f614,plain,
! [X1] : sP3(nil,X1),
inference(equality_resolution,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( sP3(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f612,plain,
! [X1] : sP1(nil,X1),
inference(equality_resolution,[],[f439]) ).
fof(f439,plain,
! [X0,X1] :
( sP1(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f605,plain,
sK68 != sK69,
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
( sK68 != sK69
& ssItem(sK69)
& ssItem(sK68) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69])],[f2,f376,f375]) ).
fof(f375,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK68 != X1
& ssItem(X1) )
& ssItem(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f376,plain,
( ? [X1] :
( sK68 != X1
& ssItem(X1) )
=> ( sK68 != sK69
& ssItem(sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f386,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( ( ~ neq(sK22,nil)
& neq(sK20,nil) )
| sP0(sK19,sK22,sK21,sK20) )
& sK19 = sK21
& sK20 = sK22
& ssList(sK22)
& ssList(sK21)
& ssList(sK20)
& ssList(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f224,f257,f256,f255,f254]) ).
fof(f254,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP0(X0,X3,X2,X1) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP0(sK19,X3,X2,X1) )
& sK19 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP0(sK19,X3,X2,X1) )
& sK19 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK20,nil) )
| sP0(sK19,X3,X2,sK20) )
& sK19 = X2
& sK20 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK20,nil) )
| sP0(sK19,X3,X2,sK20) )
& sK19 = X2
& sK20 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK20,nil) )
| sP0(sK19,X3,sK21,sK20) )
& sK19 = sK21
& sK20 = X3
& ssList(X3) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK20,nil) )
| sP0(sK19,X3,sK21,sK20) )
& sK19 = sK21
& sK20 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK22,nil)
& neq(sK20,nil) )
| sP0(sK19,sK22,sK21,sK20) )
& sK19 = sK21
& sK20 = sK22
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP0(X0,X3,X2,X1) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f223]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ~ neq(X0,nil)
& ! [X4] :
( ! [X5] :
( ~ neq(nil,X3)
| app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ~ neq(X0,nil)
& ! [X4] :
( ! [X5] :
( ~ neq(nil,X3)
| app(X2,X5) != X4
| tl(X3) != X5
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( neq(X0,nil)
| ? [X4] :
( ? [X5] :
( neq(nil,X3)
& app(X2,X5) = X4
& tl(X3) = X5
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( neq(X0,nil)
| ? [X4] :
( ? [X5] :
( neq(nil,X3)
& app(X2,X5) = X4
& tl(X3) = X5
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f385,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f258]) ).
fof(f604,plain,
ssItem(sK69),
inference(cnf_transformation,[],[f377]) ).
fof(f603,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f377]) ).
fof(f397,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f396,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f395,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f394,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f393,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f392,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f391,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f390,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f389,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f384,plain,
ssList(sK22),
inference(cnf_transformation,[],[f258]) ).
fof(f383,plain,
ssList(sK21),
inference(cnf_transformation,[],[f258]) ).
fof(f382,plain,
ssList(sK20),
inference(cnf_transformation,[],[f258]) ).
fof(f381,plain,
ssList(sK19),
inference(cnf_transformation,[],[f258]) ).
fof(f635,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f633]) ).
fof(f633,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f632,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f630,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f580]) ).
fof(f580,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f572,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f627,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f558]) ).
fof(f558,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f626,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f556]) ).
fof(f556,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f625,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f554]) ).
fof(f554,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f624,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP17(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f544]) ).
fof(f544,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f623,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP15(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f533]) ).
fof(f533,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f622,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP13(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f621,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP11(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f620,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP9(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f497]) ).
fof(f497,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f640,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f609,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f420]) ).
fof(f420,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f422,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f387,plain,
( neq(sK20,nil)
| sP0(sK19,sK22,sK21,sK20) ),
inference(cnf_transformation,[],[f258]) ).
fof(f388,plain,
( ~ neq(sK22,nil)
| sP0(sK19,sK22,sK21,sK20) ),
inference(cnf_transformation,[],[f258]) ).
fof(f7599,plain,
( ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(avatar_contradiction_clause,[],[f7598]) ).
fof(f7598,plain,
( $false
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(subsumption_resolution,[],[f7597,f397]) ).
fof(f7597,plain,
( ~ ssList(nil)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(subsumption_resolution,[],[f7596,f382]) ).
fof(f7596,plain,
( ~ ssList(sK20)
| ~ ssList(nil)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(subsumption_resolution,[],[f7594,f857]) ).
fof(f857,plain,
( nil != sK20
| spl70_7 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl70_7
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl70_7])]) ).
fof(f7594,plain,
( nil = sK20
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(resolution,[],[f7593,f577]) ).
fof(f7593,plain,
( ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(subsumption_resolution,[],[f7592,f1649]) ).
fof(f1649,plain,
( ssList(tl(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(superposition,[],[f1434,f1646]) ).
fof(f1646,plain,
( tl(sK20) = sK23(sK20)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f1625,f1588]) ).
fof(f1588,plain,
( sK20 = cons(hd(sK20),sK23(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10 ),
inference(superposition,[],[f1460,f1581]) ).
fof(f1581,plain,
( hd(sK20) = sK24(sK20)
| spl70_7
| ~ spl70_8
| ~ spl70_10 ),
inference(forward_demodulation,[],[f1562,f1460]) ).
fof(f1562,plain,
( sK24(sK20) = hd(cons(sK24(sK20),sK23(sK20)))
| ~ spl70_8
| ~ spl70_10 ),
inference(resolution,[],[f1477,f1325]) ).
fof(f1325,plain,
( ssItem(sK24(sK20))
| ~ spl70_8 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl70_8
<=> ssItem(sK24(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_8])]) ).
fof(f1477,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23(sK20))) = X0 )
| ~ spl70_10 ),
inference(resolution,[],[f1434,f563]) ).
fof(f1460,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f1448,f1385,f1337,f866,f1458,f1340,f1459,f1276]) ).
fof(f1459,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f1448,f1385,f1337,f1276,f866,f1458,f1340]) ).
fof(f1458,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f1448,f1385,f1337,f1276,f1340,f866]) ).
fof(f1429,plain,
( memberP(sK20,hd(sK20))
| ~ ssList(tl(sK20))
| ~ ssItem(hd(sK20))
| spl70_7 ),
inference(superposition,[],[f639,f1417]) ).
fof(f1431,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| spl70_7 ),
inference(subsumption_resolution,[],[f1430,f382]) ).
fof(f1430,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(sK20)
| spl70_7 ),
inference(inner_rewriting,[],[f1428]) ).
fof(f1428,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(tl(sK20))
| spl70_7 ),
inference(superposition,[],[f561,f1417]) ).
fof(f1425,plain,
( strictorderedP(sK20)
| ~ sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f443,f1417]) ).
fof(f1424,plain,
( ~ strictorderedP(sK20)
| sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f442,f1417]) ).
fof(f1423,plain,
( totalorderedP(sK20)
| ~ sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f435,f1417]) ).
fof(f1422,plain,
( ~ totalorderedP(sK20)
| sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f434,f1417]) ).
fof(f1417,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| spl70_7 ),
inference(subsumption_resolution,[],[f1385,f857]) ).
fof(f1421,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| spl70_7 ),
inference(forward_demodulation,[],[f1420,f385]) ).
fof(f1420,plain,
( sK22 = cons(hd(sK22),tl(sK22))
| spl70_7 ),
inference(subsumption_resolution,[],[f1419,f857]) ).
fof(f1374,plain,
( strictorderedP(sK20)
| ~ sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f443,f1360]) ).
fof(f1373,plain,
( ~ strictorderedP(sK20)
| sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f442,f1360]) ).
fof(f1372,plain,
( totalorderedP(sK20)
| ~ sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f435,f1360]) ).
fof(f1371,plain,
( ~ totalorderedP(sK20)
| sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f434,f1360]) ).
fof(f1360,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f466,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f857,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1337,f866,f1358,f1340,f1359,f1276]) ).
fof(f1358,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f466,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f857,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1337,f1276,f1340,f866]) ).
fof(f1361,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f466,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f857,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f866,f1358,f1340,f1359,f1276,f1360,f1337]) ).
fof(f1359,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f466,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f857,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1337,f1276,f866,f1358,f1340]) ).
fof(f1322,plain,
( sK20 != sK23(sK20)
| ~ ssItem(sK24(sK20))
| spl70_7 ),
inference(subsumption_resolution,[],[f1321,f382]) ).
fof(f1321,plain,
( sK20 != sK23(sK20)
| ~ ssItem(sK24(sK20))
| ~ ssList(sK20)
| spl70_7 ),
inference(inner_rewriting,[],[f1319]) ).
fof(f1320,plain,
( memberP(sK20,sK24(sK20))
| ~ ssList(sK23(sK20))
| ~ ssItem(sK24(sK20))
| spl70_7 ),
inference(superposition,[],[f639,f1308]) ).
fof(f1319,plain,
( sK20 != sK23(sK20)
| ~ ssItem(sK24(sK20))
| ~ ssList(sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f561,f1308]) ).
fof(f1316,plain,
( strictorderedP(sK20)
| ~ sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f443,f1308]) ).
fof(f1315,plain,
( ~ strictorderedP(sK20)
| sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f442,f1308]) ).
fof(f1314,plain,
( totalorderedP(sK20)
| ~ sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f435,f1308]) ).
fof(f1313,plain,
( ~ totalorderedP(sK20)
| sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f434,f1308]) ).
fof(f1308,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(subsumption_resolution,[],[f1276,f857]) ).
fof(f1312,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(forward_demodulation,[],[f1311,f385]) ).
fof(f1311,plain,
( sK22 = cons(sK24(sK22),sK23(sK22))
| spl70_7 ),
inference(subsumption_resolution,[],[f1310,f857]) ).
fof(f893,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(subsumption_resolution,[],[f866,f857]) ).
fof(f899,plain,
( tl(sK20) = sK26(sK20)
| spl70_7 ),
inference(forward_demodulation,[],[f898,f385]) ).
fof(f898,plain,
( tl(sK22) = sK26(sK22)
| spl70_7 ),
inference(subsumption_resolution,[],[f897,f857]) ).
fof(f1625,plain,
( sK23(sK20) = tl(cons(hd(sK20),sK23(sK20)))
| ~ spl70_10
| ~ spl70_12 ),
inference(resolution,[],[f1476,f1500]) ).
fof(f1500,plain,
( ssItem(hd(sK20))
| ~ spl70_12 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1499,plain,
( spl70_12
<=> ssItem(hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_12])]) ).
fof(f1476,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK23(sK20) = tl(cons(X0,sK23(sK20))) )
| ~ spl70_10 ),
inference(resolution,[],[f1434,f562]) ).
fof(f1434,plain,
( ssList(sK23(sK20))
| ~ spl70_10 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1433,plain,
( spl70_10
<=> ssList(sK23(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_10])]) ).
fof(f7592,plain,
( ~ ssList(tl(sK20))
| ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(forward_demodulation,[],[f7591,f1652]) ).
fof(f1652,plain,
( tl(sK20) = app(nil,tl(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(superposition,[],[f1471,f1646]) ).
fof(f1471,plain,
( sK23(sK20) = app(nil,sK23(sK20))
| ~ spl70_10 ),
inference(resolution,[],[f1434,f460]) ).
fof(f7591,plain,
( ~ ssList(app(nil,tl(sK20)))
| ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_13 ),
inference(subsumption_resolution,[],[f7590,f1505]) ).
fof(f1505,plain,
( sK20 != tl(sK20)
| spl70_13 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1503,plain,
( spl70_13
<=> sK20 = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_13])]) ).
fof(f7590,plain,
( sK20 = tl(sK20)
| ~ ssList(app(nil,tl(sK20)))
| ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f7589,f1652]) ).
fof(f7589,plain,
( sK20 = app(nil,tl(sK20))
| ~ ssList(app(nil,tl(sK20)))
| ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(subsumption_resolution,[],[f7588,f1649]) ).
fof(f7588,plain,
( ~ ssList(tl(sK20))
| sK20 = app(nil,tl(sK20))
| ~ ssList(app(nil,tl(sK20)))
| ~ neq(nil,sK20)
| ~ spl70_1
| ~ spl70_5 ),
inference(resolution,[],[f607,f1446]) ).
fof(f1446,plain,
( sP0(nil,sK20,nil,sK20)
| ~ spl70_1
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1445,f798]) ).
fof(f798,plain,
( nil = sK19
| ~ spl70_5 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl70_5
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl70_5])]) ).
fof(f1445,plain,
( sP0(sK19,sK20,sK19,sK20)
| ~ spl70_1 ),
inference(subsumption_resolution,[],[f665,f669]) ).
fof(f669,plain,
( neq(sK20,nil)
| ~ spl70_1 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl70_1
<=> neq(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_1])]) ).
fof(f6680,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_69 ),
inference(avatar_contradiction_clause,[],[f6679]) ).
fof(f6679,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_69 ),
inference(subsumption_resolution,[],[f6678,f1500]) ).
fof(f6678,plain,
( ~ ssItem(hd(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_69 ),
inference(subsumption_resolution,[],[f6677,f1649]) ).
fof(f6677,plain,
( ~ ssList(tl(sK20))
| ~ ssItem(hd(sK20))
| spl70_69 ),
inference(resolution,[],[f6484,f449]) ).
fof(f6484,plain,
( ~ sP4(hd(sK20),tl(sK20))
| spl70_69 ),
inference(avatar_component_clause,[],[f6482]) ).
fof(f6482,plain,
( spl70_69
<=> sP4(hd(sK20),tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_69])]) ).
fof(f6493,plain,
( ~ spl70_69
| spl70_70
| ~ spl70_71
| spl70_7 ),
inference(avatar_split_clause,[],[f1491,f856,f6490,f6486,f6482]) ).
fof(f6486,plain,
( spl70_70
<=> sP3(tl(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_70])]) ).
fof(f6490,plain,
( spl70_71
<=> strictorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_71])]) ).
fof(f1491,plain,
( ~ strictorderedP(sK20)
| sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f442,f1462]) ).
fof(f1462,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f1448,f866,f1458,f1340,f1459,f1276,f1460,f1337,f1461,f1385]) ).
fof(f1461,plain,
( sK20 = cons(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f1448,f1385,f866,f1458,f1340,f1459,f1276,f1460,f1337]) ).
fof(f6476,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_66 ),
inference(avatar_contradiction_clause,[],[f6475]) ).
fof(f6475,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_66 ),
inference(subsumption_resolution,[],[f6474,f1500]) ).
fof(f6474,plain,
( ~ ssItem(hd(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_66 ),
inference(subsumption_resolution,[],[f6473,f1649]) ).
fof(f6473,plain,
( ~ ssList(tl(sK20))
| ~ ssItem(hd(sK20))
| spl70_66 ),
inference(resolution,[],[f6431,f441]) ).
fof(f6431,plain,
( ~ sP2(hd(sK20),tl(sK20))
| spl70_66 ),
inference(avatar_component_clause,[],[f6429]) ).
fof(f6429,plain,
( spl70_66
<=> sP2(hd(sK20),tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_66])]) ).
fof(f6440,plain,
( ~ spl70_66
| spl70_67
| ~ spl70_68
| spl70_7 ),
inference(avatar_split_clause,[],[f1489,f856,f6437,f6433,f6429]) ).
fof(f6433,plain,
( spl70_67
<=> sP1(tl(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_67])]) ).
fof(f6437,plain,
( spl70_68
<=> totalorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_68])]) ).
fof(f1489,plain,
( ~ totalorderedP(sK20)
| sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f434,f1462]) ).
fof(f5685,plain,
( ~ spl70_19
| spl70_64
| ~ spl70_65 ),
inference(avatar_contradiction_clause,[],[f5684]) ).
fof(f5684,plain,
( $false
| ~ spl70_19
| spl70_64
| ~ spl70_65 ),
inference(subsumption_resolution,[],[f5683,f1911]) ).
fof(f1911,plain,
( ssList(cons(sK69,sK20))
| ~ spl70_19 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1909,plain,
( spl70_19
<=> ssList(cons(sK69,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_19])]) ).
fof(f5683,plain,
( ~ ssList(cons(sK69,sK20))
| spl70_64
| ~ spl70_65 ),
inference(subsumption_resolution,[],[f5682,f397]) ).
fof(f5682,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK69,sK20))
| spl70_64
| ~ spl70_65 ),
inference(subsumption_resolution,[],[f5681,f5669]) ).
fof(f5669,plain,
( frontsegP(cons(sK69,sK20),nil)
| ~ spl70_65 ),
inference(avatar_component_clause,[],[f5667]) ).
fof(f5667,plain,
( spl70_65
<=> frontsegP(cons(sK69,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_65])]) ).
fof(f5681,plain,
( ~ frontsegP(cons(sK69,sK20),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK69,sK20))
| spl70_64 ),
inference(resolution,[],[f5665,f585]) ).
fof(f5665,plain,
( ~ ssList(sK67(cons(sK69,sK20),nil))
| spl70_64 ),
inference(avatar_component_clause,[],[f5663]) ).
fof(f5663,plain,
( spl70_64
<=> ssList(sK67(cons(sK69,sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_64])]) ).
fof(f5677,plain,
( ~ spl70_19
| spl70_65 ),
inference(avatar_contradiction_clause,[],[f5676]) ).
fof(f5676,plain,
( $false
| ~ spl70_19
| spl70_65 ),
inference(subsumption_resolution,[],[f5672,f1911]) ).
fof(f5672,plain,
( ~ ssList(cons(sK69,sK20))
| spl70_65 ),
inference(resolution,[],[f5668,f456]) ).
fof(f5668,plain,
( ~ frontsegP(cons(sK69,sK20),nil)
| spl70_65 ),
inference(avatar_component_clause,[],[f5667]) ).
fof(f5675,plain,
( ~ spl70_19
| spl70_65 ),
inference(avatar_contradiction_clause,[],[f5674]) ).
fof(f5674,plain,
( $false
| ~ spl70_19
| spl70_65 ),
inference(subsumption_resolution,[],[f5673,f397]) ).
fof(f5673,plain,
( ~ ssList(nil)
| ~ spl70_19
| spl70_65 ),
inference(subsumption_resolution,[],[f5671,f644]) ).
fof(f5671,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_19
| spl70_65 ),
inference(resolution,[],[f5668,f2904]) ).
fof(f2904,plain,
( ! [X0] :
( frontsegP(cons(sK69,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2903,f397]) ).
fof(f2903,plain,
( ! [X0] :
( frontsegP(cons(sK69,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2867,f1911]) ).
fof(f2867,plain,
( ! [X0] :
( frontsegP(cons(sK69,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK69,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_19 ),
inference(superposition,[],[f596,f1936]) ).
fof(f1936,plain,
( cons(sK69,sK20) = app(nil,cons(sK69,sK20))
| ~ spl70_19 ),
inference(resolution,[],[f1911,f460]) ).
fof(f5670,plain,
( ~ spl70_64
| spl70_65
| ~ spl70_19 ),
inference(avatar_split_clause,[],[f5524,f1909,f5667,f5663]) ).
fof(f5524,plain,
( frontsegP(cons(sK69,sK20),nil)
| ~ ssList(sK67(cons(sK69,sK20),nil))
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f5514,f397]) ).
fof(f5514,plain,
( frontsegP(cons(sK69,sK20),nil)
| ~ ssList(sK67(cons(sK69,sK20),nil))
| ~ ssList(nil)
| ~ spl70_19 ),
inference(superposition,[],[f2272,f5283]) ).
fof(f5283,plain,
( cons(sK69,sK20) = app(nil,sK67(cons(sK69,sK20),nil))
| ~ spl70_19 ),
inference(resolution,[],[f2711,f1911]) ).
fof(f5640,plain,
( ~ spl70_18
| spl70_62
| ~ spl70_63 ),
inference(avatar_contradiction_clause,[],[f5639]) ).
fof(f5639,plain,
( $false
| ~ spl70_18
| spl70_62
| ~ spl70_63 ),
inference(subsumption_resolution,[],[f5638,f1906]) ).
fof(f1906,plain,
( ssList(cons(sK69,nil))
| ~ spl70_18 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1905,plain,
( spl70_18
<=> ssList(cons(sK69,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_18])]) ).
fof(f5638,plain,
( ~ ssList(cons(sK69,nil))
| spl70_62
| ~ spl70_63 ),
inference(subsumption_resolution,[],[f5637,f397]) ).
fof(f5637,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK69,nil))
| spl70_62
| ~ spl70_63 ),
inference(subsumption_resolution,[],[f5636,f5624]) ).
fof(f5624,plain,
( frontsegP(cons(sK69,nil),nil)
| ~ spl70_63 ),
inference(avatar_component_clause,[],[f5622]) ).
fof(f5622,plain,
( spl70_63
<=> frontsegP(cons(sK69,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_63])]) ).
fof(f5636,plain,
( ~ frontsegP(cons(sK69,nil),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK69,nil))
| spl70_62 ),
inference(resolution,[],[f5620,f585]) ).
fof(f5620,plain,
( ~ ssList(sK67(cons(sK69,nil),nil))
| spl70_62 ),
inference(avatar_component_clause,[],[f5618]) ).
fof(f5618,plain,
( spl70_62
<=> ssList(sK67(cons(sK69,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_62])]) ).
fof(f5632,plain,
( ~ spl70_18
| spl70_63 ),
inference(avatar_contradiction_clause,[],[f5631]) ).
fof(f5631,plain,
( $false
| ~ spl70_18
| spl70_63 ),
inference(subsumption_resolution,[],[f5627,f1906]) ).
fof(f5627,plain,
( ~ ssList(cons(sK69,nil))
| spl70_63 ),
inference(resolution,[],[f5623,f456]) ).
fof(f5623,plain,
( ~ frontsegP(cons(sK69,nil),nil)
| spl70_63 ),
inference(avatar_component_clause,[],[f5622]) ).
fof(f5630,plain,
( ~ spl70_18
| spl70_63 ),
inference(avatar_contradiction_clause,[],[f5629]) ).
fof(f5629,plain,
( $false
| ~ spl70_18
| spl70_63 ),
inference(subsumption_resolution,[],[f5628,f397]) ).
fof(f5628,plain,
( ~ ssList(nil)
| ~ spl70_18
| spl70_63 ),
inference(subsumption_resolution,[],[f5626,f644]) ).
fof(f5626,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_18
| spl70_63 ),
inference(resolution,[],[f5623,f2902]) ).
fof(f2902,plain,
( ! [X0] :
( frontsegP(cons(sK69,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2901,f397]) ).
fof(f2901,plain,
( ! [X0] :
( frontsegP(cons(sK69,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2866,f1906]) ).
fof(f2866,plain,
( ! [X0] :
( frontsegP(cons(sK69,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK69,nil))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_18 ),
inference(superposition,[],[f596,f1924]) ).
fof(f1924,plain,
( cons(sK69,nil) = app(nil,cons(sK69,nil))
| ~ spl70_18 ),
inference(resolution,[],[f1906,f460]) ).
fof(f5625,plain,
( ~ spl70_62
| spl70_63
| ~ spl70_18 ),
inference(avatar_split_clause,[],[f5498,f1905,f5622,f5618]) ).
fof(f5498,plain,
( frontsegP(cons(sK69,nil),nil)
| ~ ssList(sK67(cons(sK69,nil),nil))
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f5487,f397]) ).
fof(f5487,plain,
( frontsegP(cons(sK69,nil),nil)
| ~ ssList(sK67(cons(sK69,nil),nil))
| ~ ssList(nil)
| ~ spl70_18 ),
inference(superposition,[],[f2272,f5282]) ).
fof(f5282,plain,
( cons(sK69,nil) = app(nil,sK67(cons(sK69,nil),nil))
| ~ spl70_18 ),
inference(resolution,[],[f2711,f1906]) ).
fof(f5595,plain,
( ~ spl70_17
| spl70_60
| ~ spl70_61 ),
inference(avatar_contradiction_clause,[],[f5594]) ).
fof(f5594,plain,
( $false
| ~ spl70_17
| spl70_60
| ~ spl70_61 ),
inference(subsumption_resolution,[],[f5593,f1862]) ).
fof(f1862,plain,
( ssList(cons(sK68,sK20))
| ~ spl70_17 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f1860,plain,
( spl70_17
<=> ssList(cons(sK68,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_17])]) ).
fof(f5593,plain,
( ~ ssList(cons(sK68,sK20))
| spl70_60
| ~ spl70_61 ),
inference(subsumption_resolution,[],[f5592,f397]) ).
fof(f5592,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK68,sK20))
| spl70_60
| ~ spl70_61 ),
inference(subsumption_resolution,[],[f5591,f5579]) ).
fof(f5579,plain,
( frontsegP(cons(sK68,sK20),nil)
| ~ spl70_61 ),
inference(avatar_component_clause,[],[f5577]) ).
fof(f5577,plain,
( spl70_61
<=> frontsegP(cons(sK68,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_61])]) ).
fof(f5591,plain,
( ~ frontsegP(cons(sK68,sK20),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK68,sK20))
| spl70_60 ),
inference(resolution,[],[f5575,f585]) ).
fof(f5575,plain,
( ~ ssList(sK67(cons(sK68,sK20),nil))
| spl70_60 ),
inference(avatar_component_clause,[],[f5573]) ).
fof(f5573,plain,
( spl70_60
<=> ssList(sK67(cons(sK68,sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_60])]) ).
fof(f5587,plain,
( ~ spl70_17
| spl70_61 ),
inference(avatar_contradiction_clause,[],[f5586]) ).
fof(f5586,plain,
( $false
| ~ spl70_17
| spl70_61 ),
inference(subsumption_resolution,[],[f5582,f1862]) ).
fof(f5582,plain,
( ~ ssList(cons(sK68,sK20))
| spl70_61 ),
inference(resolution,[],[f5578,f456]) ).
fof(f5578,plain,
( ~ frontsegP(cons(sK68,sK20),nil)
| spl70_61 ),
inference(avatar_component_clause,[],[f5577]) ).
fof(f5585,plain,
( ~ spl70_17
| spl70_61 ),
inference(avatar_contradiction_clause,[],[f5584]) ).
fof(f5584,plain,
( $false
| ~ spl70_17
| spl70_61 ),
inference(subsumption_resolution,[],[f5583,f397]) ).
fof(f5583,plain,
( ~ ssList(nil)
| ~ spl70_17
| spl70_61 ),
inference(subsumption_resolution,[],[f5581,f644]) ).
fof(f5581,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_17
| spl70_61 ),
inference(resolution,[],[f5578,f2900]) ).
fof(f2900,plain,
( ! [X0] :
( frontsegP(cons(sK68,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2899,f397]) ).
fof(f2899,plain,
( ! [X0] :
( frontsegP(cons(sK68,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2865,f1862]) ).
fof(f2865,plain,
( ! [X0] :
( frontsegP(cons(sK68,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK68,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_17 ),
inference(superposition,[],[f596,f1881]) ).
fof(f1881,plain,
( cons(sK68,sK20) = app(nil,cons(sK68,sK20))
| ~ spl70_17 ),
inference(resolution,[],[f1862,f460]) ).
fof(f5580,plain,
( ~ spl70_60
| spl70_61
| ~ spl70_17 ),
inference(avatar_split_clause,[],[f5471,f1860,f5577,f5573]) ).
fof(f5471,plain,
( frontsegP(cons(sK68,sK20),nil)
| ~ ssList(sK67(cons(sK68,sK20),nil))
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f5461,f397]) ).
fof(f5461,plain,
( frontsegP(cons(sK68,sK20),nil)
| ~ ssList(sK67(cons(sK68,sK20),nil))
| ~ ssList(nil)
| ~ spl70_17 ),
inference(superposition,[],[f2272,f5281]) ).
fof(f5281,plain,
( cons(sK68,sK20) = app(nil,sK67(cons(sK68,sK20),nil))
| ~ spl70_17 ),
inference(resolution,[],[f2711,f1862]) ).
fof(f5550,plain,
( ~ spl70_16
| spl70_58
| ~ spl70_59 ),
inference(avatar_contradiction_clause,[],[f5549]) ).
fof(f5549,plain,
( $false
| ~ spl70_16
| spl70_58
| ~ spl70_59 ),
inference(subsumption_resolution,[],[f5548,f1857]) ).
fof(f1857,plain,
( ssList(cons(sK68,nil))
| ~ spl70_16 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1856,plain,
( spl70_16
<=> ssList(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_16])]) ).
fof(f5548,plain,
( ~ ssList(cons(sK68,nil))
| spl70_58
| ~ spl70_59 ),
inference(subsumption_resolution,[],[f5547,f397]) ).
fof(f5547,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK68,nil))
| spl70_58
| ~ spl70_59 ),
inference(subsumption_resolution,[],[f5546,f5534]) ).
fof(f5534,plain,
( frontsegP(cons(sK68,nil),nil)
| ~ spl70_59 ),
inference(avatar_component_clause,[],[f5532]) ).
fof(f5532,plain,
( spl70_59
<=> frontsegP(cons(sK68,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_59])]) ).
fof(f5546,plain,
( ~ frontsegP(cons(sK68,nil),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK68,nil))
| spl70_58 ),
inference(resolution,[],[f5530,f585]) ).
fof(f5530,plain,
( ~ ssList(sK67(cons(sK68,nil),nil))
| spl70_58 ),
inference(avatar_component_clause,[],[f5528]) ).
fof(f5528,plain,
( spl70_58
<=> ssList(sK67(cons(sK68,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_58])]) ).
fof(f5542,plain,
( ~ spl70_16
| spl70_59 ),
inference(avatar_contradiction_clause,[],[f5541]) ).
fof(f5541,plain,
( $false
| ~ spl70_16
| spl70_59 ),
inference(subsumption_resolution,[],[f5537,f1857]) ).
fof(f5537,plain,
( ~ ssList(cons(sK68,nil))
| spl70_59 ),
inference(resolution,[],[f5533,f456]) ).
fof(f5533,plain,
( ~ frontsegP(cons(sK68,nil),nil)
| spl70_59 ),
inference(avatar_component_clause,[],[f5532]) ).
fof(f5540,plain,
( ~ spl70_16
| spl70_59 ),
inference(avatar_contradiction_clause,[],[f5539]) ).
fof(f5539,plain,
( $false
| ~ spl70_16
| spl70_59 ),
inference(subsumption_resolution,[],[f5538,f397]) ).
fof(f5538,plain,
( ~ ssList(nil)
| ~ spl70_16
| spl70_59 ),
inference(subsumption_resolution,[],[f5536,f644]) ).
fof(f5536,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_16
| spl70_59 ),
inference(resolution,[],[f5533,f2898]) ).
fof(f2898,plain,
( ! [X0] :
( frontsegP(cons(sK68,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2897,f397]) ).
fof(f2897,plain,
( ! [X0] :
( frontsegP(cons(sK68,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2864,f1857]) ).
fof(f2864,plain,
( ! [X0] :
( frontsegP(cons(sK68,nil),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK68,nil))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_16 ),
inference(superposition,[],[f596,f1869]) ).
fof(f1869,plain,
( cons(sK68,nil) = app(nil,cons(sK68,nil))
| ~ spl70_16 ),
inference(resolution,[],[f1857,f460]) ).
fof(f5535,plain,
( ~ spl70_58
| spl70_59
| ~ spl70_16 ),
inference(avatar_split_clause,[],[f5445,f1856,f5532,f5528]) ).
fof(f5445,plain,
( frontsegP(cons(sK68,nil),nil)
| ~ ssList(sK67(cons(sK68,nil),nil))
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f5434,f397]) ).
fof(f5434,plain,
( frontsegP(cons(sK68,nil),nil)
| ~ ssList(sK67(cons(sK68,nil),nil))
| ~ ssList(nil)
| ~ spl70_16 ),
inference(superposition,[],[f2272,f5280]) ).
fof(f5280,plain,
( cons(sK68,nil) = app(nil,sK67(cons(sK68,nil),nil))
| ~ spl70_16 ),
inference(resolution,[],[f2711,f1857]) ).
fof(f5397,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_56
| ~ spl70_57 ),
inference(avatar_contradiction_clause,[],[f5396]) ).
fof(f5396,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_56
| ~ spl70_57 ),
inference(subsumption_resolution,[],[f5395,f1649]) ).
fof(f5395,plain,
( ~ ssList(tl(sK20))
| spl70_56
| ~ spl70_57 ),
inference(subsumption_resolution,[],[f5394,f397]) ).
fof(f5394,plain,
( ~ ssList(nil)
| ~ ssList(tl(sK20))
| spl70_56
| ~ spl70_57 ),
inference(subsumption_resolution,[],[f5393,f5381]) ).
fof(f5381,plain,
( frontsegP(tl(sK20),nil)
| ~ spl70_57 ),
inference(avatar_component_clause,[],[f5379]) ).
fof(f5379,plain,
( spl70_57
<=> frontsegP(tl(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_57])]) ).
fof(f5393,plain,
( ~ frontsegP(tl(sK20),nil)
| ~ ssList(nil)
| ~ ssList(tl(sK20))
| spl70_56 ),
inference(resolution,[],[f5377,f585]) ).
fof(f5377,plain,
( ~ ssList(sK67(tl(sK20),nil))
| spl70_56 ),
inference(avatar_component_clause,[],[f5375]) ).
fof(f5375,plain,
( spl70_56
<=> ssList(sK67(tl(sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_56])]) ).
fof(f5389,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(avatar_contradiction_clause,[],[f5388]) ).
fof(f5388,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(subsumption_resolution,[],[f5384,f1649]) ).
fof(f5384,plain,
( ~ ssList(tl(sK20))
| spl70_57 ),
inference(resolution,[],[f5380,f456]) ).
fof(f5380,plain,
( ~ frontsegP(tl(sK20),nil)
| spl70_57 ),
inference(avatar_component_clause,[],[f5379]) ).
fof(f5387,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(avatar_contradiction_clause,[],[f5386]) ).
fof(f5386,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(subsumption_resolution,[],[f5385,f397]) ).
fof(f5385,plain,
( ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(subsumption_resolution,[],[f5383,f644]) ).
fof(f5383,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_57 ),
inference(resolution,[],[f5380,f2927]) ).
fof(f2927,plain,
( ! [X0] :
( frontsegP(tl(sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f2926,f1646]) ).
fof(f2926,plain,
( ! [X0] :
( frontsegP(sK23(sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f2925,f397]) ).
fof(f2925,plain,
( ! [X0] :
( frontsegP(sK23(sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f2890,f1434]) ).
fof(f2890,plain,
( ! [X0] :
( frontsegP(sK23(sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK23(sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_10 ),
inference(superposition,[],[f596,f1471]) ).
fof(f5382,plain,
( ~ spl70_56
| spl70_57
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(avatar_split_clause,[],[f5373,f1499,f1433,f1324,f856,f5379,f5375]) ).
fof(f5373,plain,
( frontsegP(tl(sK20),nil)
| ~ ssList(sK67(tl(sK20),nil))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(subsumption_resolution,[],[f5363,f397]) ).
fof(f5363,plain,
( frontsegP(tl(sK20),nil)
| ~ ssList(sK67(tl(sK20),nil))
| ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(superposition,[],[f2272,f5336]) ).
fof(f5336,plain,
( tl(sK20) = app(nil,sK67(tl(sK20),nil))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f5293,f1646]) ).
fof(f5293,plain,
( sK23(sK20) = app(nil,sK67(sK23(sK20),nil))
| ~ spl70_10 ),
inference(resolution,[],[f2711,f1434]) ).
fof(f5107,plain,
( ~ spl70_19
| spl70_54
| ~ spl70_55 ),
inference(avatar_contradiction_clause,[],[f5106]) ).
fof(f5106,plain,
( $false
| ~ spl70_19
| spl70_54
| ~ spl70_55 ),
inference(subsumption_resolution,[],[f5105,f1911]) ).
fof(f5105,plain,
( ~ ssList(cons(sK69,sK20))
| spl70_54
| ~ spl70_55 ),
inference(subsumption_resolution,[],[f5104,f397]) ).
fof(f5104,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK69,sK20))
| spl70_54
| ~ spl70_55 ),
inference(subsumption_resolution,[],[f5103,f5087]) ).
fof(f5087,plain,
( rearsegP(cons(sK69,sK20),nil)
| ~ spl70_55 ),
inference(avatar_component_clause,[],[f5085]) ).
fof(f5085,plain,
( spl70_55
<=> rearsegP(cons(sK69,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_55])]) ).
fof(f5103,plain,
( ~ rearsegP(cons(sK69,sK20),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK69,sK20))
| spl70_54 ),
inference(resolution,[],[f5083,f578]) ).
fof(f5083,plain,
( ~ ssList(sK64(cons(sK69,sK20),nil))
| spl70_54 ),
inference(avatar_component_clause,[],[f5081]) ).
fof(f5081,plain,
( spl70_54
<=> ssList(sK64(cons(sK69,sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_54])]) ).
fof(f5099,plain,
( ~ spl70_18
| ~ spl70_37
| spl70_55 ),
inference(avatar_contradiction_clause,[],[f5098]) ).
fof(f5098,plain,
( $false
| ~ spl70_18
| ~ spl70_37
| spl70_55 ),
inference(subsumption_resolution,[],[f5097,f397]) ).
fof(f5097,plain,
( ~ ssList(nil)
| ~ spl70_18
| ~ spl70_37
| spl70_55 ),
inference(subsumption_resolution,[],[f5091,f3386]) ).
fof(f3386,plain,
( rearsegP(sK20,nil)
| ~ spl70_37 ),
inference(avatar_component_clause,[],[f3384]) ).
fof(f3384,plain,
( spl70_37
<=> rearsegP(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_37])]) ).
fof(f5091,plain,
( ~ rearsegP(sK20,nil)
| ~ ssList(nil)
| ~ spl70_18
| spl70_55 ),
inference(resolution,[],[f5086,f2802]) ).
fof(f2802,plain,
( ! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(X0) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2801,f382]) ).
fof(f2801,plain,
( ! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(X0)
| ~ ssList(sK20) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2766,f1906]) ).
fof(f2766,plain,
! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK69,nil))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(superposition,[],[f595,f1846]) ).
fof(f5086,plain,
( ~ rearsegP(cons(sK69,sK20),nil)
| spl70_55 ),
inference(avatar_component_clause,[],[f5085]) ).
fof(f5096,plain,
( ~ spl70_19
| spl70_55 ),
inference(avatar_contradiction_clause,[],[f5095]) ).
fof(f5095,plain,
( $false
| ~ spl70_19
| spl70_55 ),
inference(subsumption_resolution,[],[f5094,f397]) ).
fof(f5094,plain,
( ~ ssList(nil)
| ~ spl70_19
| spl70_55 ),
inference(subsumption_resolution,[],[f5090,f643]) ).
fof(f5090,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_19
| spl70_55 ),
inference(resolution,[],[f5086,f2784]) ).
fof(f2784,plain,
( ! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2783,f397]) ).
fof(f2783,plain,
( ! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2753,f1911]) ).
fof(f2753,plain,
( ! [X0] :
( rearsegP(cons(sK69,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK69,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_19 ),
inference(superposition,[],[f595,f1935]) ).
fof(f1935,plain,
( cons(sK69,sK20) = app(cons(sK69,sK20),nil)
| ~ spl70_19 ),
inference(resolution,[],[f1911,f459]) ).
fof(f5093,plain,
( ~ spl70_19
| spl70_55 ),
inference(avatar_contradiction_clause,[],[f5092]) ).
fof(f5092,plain,
( $false
| ~ spl70_19
| spl70_55 ),
inference(subsumption_resolution,[],[f5089,f1911]) ).
fof(f5089,plain,
( ~ ssList(cons(sK69,sK20))
| spl70_55 ),
inference(resolution,[],[f5086,f454]) ).
fof(f5088,plain,
( ~ spl70_54
| spl70_55
| ~ spl70_19 ),
inference(avatar_split_clause,[],[f4789,f1909,f5085,f5081]) ).
fof(f4789,plain,
( rearsegP(cons(sK69,sK20),nil)
| ~ ssList(sK64(cons(sK69,sK20),nil))
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f4779,f397]) ).
fof(f4779,plain,
( rearsegP(cons(sK69,sK20),nil)
| ~ ssList(sK64(cons(sK69,sK20),nil))
| ~ ssList(nil)
| ~ spl70_19 ),
inference(superposition,[],[f2137,f3320]) ).
fof(f3320,plain,
( cons(sK69,sK20) = app(sK64(cons(sK69,sK20),nil),nil)
| ~ spl70_19 ),
inference(resolution,[],[f2606,f1911]) ).
fof(f5060,plain,
( ~ spl70_18
| spl70_52
| ~ spl70_53 ),
inference(avatar_contradiction_clause,[],[f5059]) ).
fof(f5059,plain,
( $false
| ~ spl70_18
| spl70_52
| ~ spl70_53 ),
inference(subsumption_resolution,[],[f5058,f1906]) ).
fof(f5058,plain,
( ~ ssList(cons(sK69,nil))
| spl70_52
| ~ spl70_53 ),
inference(subsumption_resolution,[],[f5057,f397]) ).
fof(f5057,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK69,nil))
| spl70_52
| ~ spl70_53 ),
inference(subsumption_resolution,[],[f5056,f5044]) ).
fof(f5044,plain,
( rearsegP(cons(sK69,nil),nil)
| ~ spl70_53 ),
inference(avatar_component_clause,[],[f5042]) ).
fof(f5042,plain,
( spl70_53
<=> rearsegP(cons(sK69,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_53])]) ).
fof(f5056,plain,
( ~ rearsegP(cons(sK69,nil),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK69,nil))
| spl70_52 ),
inference(resolution,[],[f5040,f578]) ).
fof(f5040,plain,
( ~ ssList(sK64(cons(sK69,nil),nil))
| spl70_52 ),
inference(avatar_component_clause,[],[f5038]) ).
fof(f5038,plain,
( spl70_52
<=> ssList(sK64(cons(sK69,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_52])]) ).
fof(f5052,plain,
( ~ spl70_18
| spl70_53 ),
inference(avatar_contradiction_clause,[],[f5051]) ).
fof(f5051,plain,
( $false
| ~ spl70_18
| spl70_53 ),
inference(subsumption_resolution,[],[f5050,f397]) ).
fof(f5050,plain,
( ~ ssList(nil)
| ~ spl70_18
| spl70_53 ),
inference(subsumption_resolution,[],[f5047,f643]) ).
fof(f5047,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_18
| spl70_53 ),
inference(resolution,[],[f5043,f2782]) ).
fof(f2782,plain,
( ! [X0] :
( rearsegP(cons(sK69,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2781,f397]) ).
fof(f2781,plain,
( ! [X0] :
( rearsegP(cons(sK69,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2752,f1906]) ).
fof(f2752,plain,
( ! [X0] :
( rearsegP(cons(sK69,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK69,nil))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_18 ),
inference(superposition,[],[f595,f1923]) ).
fof(f1923,plain,
( cons(sK69,nil) = app(cons(sK69,nil),nil)
| ~ spl70_18 ),
inference(resolution,[],[f1906,f459]) ).
fof(f5043,plain,
( ~ rearsegP(cons(sK69,nil),nil)
| spl70_53 ),
inference(avatar_component_clause,[],[f5042]) ).
fof(f5049,plain,
( ~ spl70_18
| spl70_53 ),
inference(avatar_contradiction_clause,[],[f5048]) ).
fof(f5048,plain,
( $false
| ~ spl70_18
| spl70_53 ),
inference(subsumption_resolution,[],[f5046,f1906]) ).
fof(f5046,plain,
( ~ ssList(cons(sK69,nil))
| spl70_53 ),
inference(resolution,[],[f5043,f454]) ).
fof(f5045,plain,
( ~ spl70_52
| spl70_53
| ~ spl70_18 ),
inference(avatar_split_clause,[],[f4700,f1905,f5042,f5038]) ).
fof(f4700,plain,
( rearsegP(cons(sK69,nil),nil)
| ~ ssList(sK64(cons(sK69,nil),nil))
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f4689,f397]) ).
fof(f4689,plain,
( rearsegP(cons(sK69,nil),nil)
| ~ ssList(sK64(cons(sK69,nil),nil))
| ~ ssList(nil)
| ~ spl70_18 ),
inference(superposition,[],[f2137,f3319]) ).
fof(f3319,plain,
( cons(sK69,nil) = app(sK64(cons(sK69,nil),nil),nil)
| ~ spl70_18 ),
inference(resolution,[],[f2606,f1906]) ).
fof(f4963,plain,
( ~ spl70_17
| spl70_50
| ~ spl70_51 ),
inference(avatar_contradiction_clause,[],[f4962]) ).
fof(f4962,plain,
( $false
| ~ spl70_17
| spl70_50
| ~ spl70_51 ),
inference(subsumption_resolution,[],[f4961,f1862]) ).
fof(f4961,plain,
( ~ ssList(cons(sK68,sK20))
| spl70_50
| ~ spl70_51 ),
inference(subsumption_resolution,[],[f4960,f397]) ).
fof(f4960,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK68,sK20))
| spl70_50
| ~ spl70_51 ),
inference(subsumption_resolution,[],[f4959,f4943]) ).
fof(f4943,plain,
( rearsegP(cons(sK68,sK20),nil)
| ~ spl70_51 ),
inference(avatar_component_clause,[],[f4941]) ).
fof(f4941,plain,
( spl70_51
<=> rearsegP(cons(sK68,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_51])]) ).
fof(f4959,plain,
( ~ rearsegP(cons(sK68,sK20),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK68,sK20))
| spl70_50 ),
inference(resolution,[],[f4939,f578]) ).
fof(f4939,plain,
( ~ ssList(sK64(cons(sK68,sK20),nil))
| spl70_50 ),
inference(avatar_component_clause,[],[f4937]) ).
fof(f4937,plain,
( spl70_50
<=> ssList(sK64(cons(sK68,sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_50])]) ).
fof(f4955,plain,
( ~ spl70_16
| ~ spl70_37
| spl70_51 ),
inference(avatar_contradiction_clause,[],[f4954]) ).
fof(f4954,plain,
( $false
| ~ spl70_16
| ~ spl70_37
| spl70_51 ),
inference(subsumption_resolution,[],[f4953,f397]) ).
fof(f4953,plain,
( ~ ssList(nil)
| ~ spl70_16
| ~ spl70_37
| spl70_51 ),
inference(subsumption_resolution,[],[f4947,f3386]) ).
fof(f4947,plain,
( ~ rearsegP(sK20,nil)
| ~ ssList(nil)
| ~ spl70_16
| spl70_51 ),
inference(resolution,[],[f4942,f2800]) ).
fof(f2800,plain,
( ! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(X0) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2799,f382]) ).
fof(f2799,plain,
( ! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(X0)
| ~ ssList(sK20) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2765,f1857]) ).
fof(f2765,plain,
! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK68,nil))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(superposition,[],[f595,f1845]) ).
fof(f4942,plain,
( ~ rearsegP(cons(sK68,sK20),nil)
| spl70_51 ),
inference(avatar_component_clause,[],[f4941]) ).
fof(f4952,plain,
( ~ spl70_17
| spl70_51 ),
inference(avatar_contradiction_clause,[],[f4951]) ).
fof(f4951,plain,
( $false
| ~ spl70_17
| spl70_51 ),
inference(subsumption_resolution,[],[f4950,f397]) ).
fof(f4950,plain,
( ~ ssList(nil)
| ~ spl70_17
| spl70_51 ),
inference(subsumption_resolution,[],[f4946,f643]) ).
fof(f4946,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_17
| spl70_51 ),
inference(resolution,[],[f4942,f2780]) ).
fof(f2780,plain,
( ! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2779,f397]) ).
fof(f2779,plain,
( ! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2751,f1862]) ).
fof(f2751,plain,
( ! [X0] :
( rearsegP(cons(sK68,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK68,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_17 ),
inference(superposition,[],[f595,f1880]) ).
fof(f1880,plain,
( cons(sK68,sK20) = app(cons(sK68,sK20),nil)
| ~ spl70_17 ),
inference(resolution,[],[f1862,f459]) ).
fof(f4949,plain,
( ~ spl70_17
| spl70_51 ),
inference(avatar_contradiction_clause,[],[f4948]) ).
fof(f4948,plain,
( $false
| ~ spl70_17
| spl70_51 ),
inference(subsumption_resolution,[],[f4945,f1862]) ).
fof(f4945,plain,
( ~ ssList(cons(sK68,sK20))
| spl70_51 ),
inference(resolution,[],[f4942,f454]) ).
fof(f4944,plain,
( ~ spl70_50
| spl70_51
| ~ spl70_17 ),
inference(avatar_split_clause,[],[f4673,f1860,f4941,f4937]) ).
fof(f4673,plain,
( rearsegP(cons(sK68,sK20),nil)
| ~ ssList(sK64(cons(sK68,sK20),nil))
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f4663,f397]) ).
fof(f4663,plain,
( rearsegP(cons(sK68,sK20),nil)
| ~ ssList(sK64(cons(sK68,sK20),nil))
| ~ ssList(nil)
| ~ spl70_17 ),
inference(superposition,[],[f2137,f3318]) ).
fof(f3318,plain,
( cons(sK68,sK20) = app(sK64(cons(sK68,sK20),nil),nil)
| ~ spl70_17 ),
inference(resolution,[],[f2606,f1862]) ).
fof(f4916,plain,
( ~ spl70_16
| spl70_48
| ~ spl70_49 ),
inference(avatar_contradiction_clause,[],[f4915]) ).
fof(f4915,plain,
( $false
| ~ spl70_16
| spl70_48
| ~ spl70_49 ),
inference(subsumption_resolution,[],[f4914,f1857]) ).
fof(f4914,plain,
( ~ ssList(cons(sK68,nil))
| spl70_48
| ~ spl70_49 ),
inference(subsumption_resolution,[],[f4913,f397]) ).
fof(f4913,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK68,nil))
| spl70_48
| ~ spl70_49 ),
inference(subsumption_resolution,[],[f4912,f4837]) ).
fof(f4837,plain,
( rearsegP(cons(sK68,nil),nil)
| ~ spl70_49 ),
inference(avatar_component_clause,[],[f4835]) ).
fof(f4835,plain,
( spl70_49
<=> rearsegP(cons(sK68,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_49])]) ).
fof(f4912,plain,
( ~ rearsegP(cons(sK68,nil),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK68,nil))
| spl70_48 ),
inference(resolution,[],[f4833,f578]) ).
fof(f4833,plain,
( ~ ssList(sK64(cons(sK68,nil),nil))
| spl70_48 ),
inference(avatar_component_clause,[],[f4831]) ).
fof(f4831,plain,
( spl70_48
<=> ssList(sK64(cons(sK68,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_48])]) ).
fof(f4908,plain,
( ~ spl70_16
| spl70_49 ),
inference(avatar_contradiction_clause,[],[f4907]) ).
fof(f4907,plain,
( $false
| ~ spl70_16
| spl70_49 ),
inference(subsumption_resolution,[],[f4906,f397]) ).
fof(f4906,plain,
( ~ ssList(nil)
| ~ spl70_16
| spl70_49 ),
inference(subsumption_resolution,[],[f4903,f643]) ).
fof(f4903,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ spl70_16
| spl70_49 ),
inference(resolution,[],[f4836,f2778]) ).
fof(f2778,plain,
( ! [X0] :
( rearsegP(cons(sK68,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2777,f397]) ).
fof(f2777,plain,
( ! [X0] :
( rearsegP(cons(sK68,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2750,f1857]) ).
fof(f2750,plain,
( ! [X0] :
( rearsegP(cons(sK68,nil),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK68,nil))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_16 ),
inference(superposition,[],[f595,f1868]) ).
fof(f1868,plain,
( cons(sK68,nil) = app(cons(sK68,nil),nil)
| ~ spl70_16 ),
inference(resolution,[],[f1857,f459]) ).
fof(f4836,plain,
( ~ rearsegP(cons(sK68,nil),nil)
| spl70_49 ),
inference(avatar_component_clause,[],[f4835]) ).
fof(f4905,plain,
( ~ spl70_16
| spl70_49 ),
inference(avatar_contradiction_clause,[],[f4904]) ).
fof(f4904,plain,
( $false
| ~ spl70_16
| spl70_49 ),
inference(subsumption_resolution,[],[f4902,f1857]) ).
fof(f4902,plain,
( ~ ssList(cons(sK68,nil))
| spl70_49 ),
inference(resolution,[],[f4836,f454]) ).
fof(f4838,plain,
( ~ spl70_48
| spl70_49
| ~ spl70_16 ),
inference(avatar_split_clause,[],[f4647,f1856,f4835,f4831]) ).
fof(f4647,plain,
( rearsegP(cons(sK68,nil),nil)
| ~ ssList(sK64(cons(sK68,nil),nil))
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f4636,f397]) ).
fof(f4636,plain,
( rearsegP(cons(sK68,nil),nil)
| ~ ssList(sK64(cons(sK68,nil),nil))
| ~ ssList(nil)
| ~ spl70_16 ),
inference(superposition,[],[f2137,f3317]) ).
fof(f3317,plain,
( cons(sK68,nil) = app(sK64(cons(sK68,nil),nil),nil)
| ~ spl70_16 ),
inference(resolution,[],[f2606,f1857]) ).
fof(f4436,plain,
spl70_46,
inference(avatar_contradiction_clause,[],[f4435]) ).
fof(f4435,plain,
( $false
| spl70_46 ),
inference(subsumption_resolution,[],[f4434,f397]) ).
fof(f4434,plain,
( ~ ssList(nil)
| spl70_46 ),
inference(subsumption_resolution,[],[f4433,f644]) ).
fof(f4433,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| spl70_46 ),
inference(duplicate_literal_removal,[],[f4432]) ).
fof(f4432,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl70_46 ),
inference(resolution,[],[f4426,f585]) ).
fof(f4426,plain,
( ~ ssList(sK67(nil,nil))
| spl70_46 ),
inference(avatar_component_clause,[],[f4424]) ).
fof(f4424,plain,
( spl70_46
<=> ssList(sK67(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_46])]) ).
fof(f4431,plain,
( ~ spl70_46
| spl70_47
| ~ spl70_5 ),
inference(avatar_split_clause,[],[f4422,f796,f4428,f4424]) ).
fof(f4428,plain,
( spl70_47
<=> nil = sK67(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_47])]) ).
fof(f4422,plain,
( nil = sK67(nil,nil)
| ~ ssList(sK67(nil,nil))
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f4419]) ).
fof(f4419,plain,
( nil != nil
| nil = sK67(nil,nil)
| ~ ssList(sK67(nil,nil))
| ~ spl70_5 ),
inference(superposition,[],[f4234,f2719]) ).
fof(f4234,plain,
( ! [X0] :
( nil != app(nil,X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f4233,f798]) ).
fof(f4100,plain,
spl70_44,
inference(avatar_contradiction_clause,[],[f4099]) ).
fof(f4099,plain,
( $false
| spl70_44 ),
inference(subsumption_resolution,[],[f4098,f397]) ).
fof(f4098,plain,
( ~ ssList(nil)
| spl70_44 ),
inference(subsumption_resolution,[],[f4097,f643]) ).
fof(f4097,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl70_44 ),
inference(duplicate_literal_removal,[],[f4096]) ).
fof(f4096,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl70_44 ),
inference(resolution,[],[f4090,f578]) ).
fof(f4090,plain,
( ~ ssList(sK64(nil,nil))
| spl70_44 ),
inference(avatar_component_clause,[],[f4088]) ).
fof(f4088,plain,
( spl70_44
<=> ssList(sK64(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_44])]) ).
fof(f4095,plain,
( ~ spl70_44
| spl70_45
| ~ spl70_5 ),
inference(avatar_split_clause,[],[f4086,f796,f4092,f4088]) ).
fof(f4092,plain,
( spl70_45
<=> nil = sK64(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_45])]) ).
fof(f4086,plain,
( nil = sK64(nil,nil)
| ~ ssList(sK64(nil,nil))
| ~ spl70_5 ),
inference(trivial_inequality_removal,[],[f4081]) ).
fof(f4081,plain,
( nil != nil
| nil = sK64(nil,nil)
| ~ ssList(sK64(nil,nil))
| ~ spl70_5 ),
inference(superposition,[],[f3943,f2605]) ).
fof(f3943,plain,
( ! [X0] :
( nil != app(X0,nil)
| nil = X0
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f3942,f798]) ).
fof(f3942,plain,
( ! [X0] :
( nil != app(X0,nil)
| sK19 = X0
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f3941,f798]) ).
fof(f3831,plain,
( ~ spl70_42
| spl70_43
| ~ spl70_40
| ~ spl70_41 ),
inference(avatar_split_clause,[],[f3643,f3614,f3610,f3828,f3824]) ).
fof(f3824,plain,
( spl70_42
<=> rearsegP(sK67(sK20,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_42])]) ).
fof(f3828,plain,
( spl70_43
<=> sK20 = sK67(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_43])]) ).
fof(f3610,plain,
( spl70_40
<=> ssList(sK67(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_40])]) ).
fof(f3614,plain,
( spl70_41
<=> rearsegP(sK20,sK67(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_41])]) ).
fof(f3643,plain,
( sK20 = sK67(sK20,sK20)
| ~ rearsegP(sK67(sK20,sK20),sK20)
| ~ spl70_40
| ~ spl70_41 ),
inference(subsumption_resolution,[],[f3642,f3611]) ).
fof(f3611,plain,
( ssList(sK67(sK20,sK20))
| ~ spl70_40 ),
inference(avatar_component_clause,[],[f3610]) ).
fof(f3642,plain,
( sK20 = sK67(sK20,sK20)
| ~ rearsegP(sK67(sK20,sK20),sK20)
| ~ ssList(sK67(sK20,sK20))
| ~ spl70_41 ),
inference(subsumption_resolution,[],[f3637,f382]) ).
fof(f3637,plain,
( sK20 = sK67(sK20,sK20)
| ~ rearsegP(sK67(sK20,sK20),sK20)
| ~ ssList(sK20)
| ~ ssList(sK67(sK20,sK20))
| ~ spl70_41 ),
inference(resolution,[],[f3616,f573]) ).
fof(f3616,plain,
( rearsegP(sK20,sK67(sK20,sK20))
| ~ spl70_41 ),
inference(avatar_component_clause,[],[f3614]) ).
fof(f3622,plain,
( ~ spl70_36
| spl70_40 ),
inference(avatar_contradiction_clause,[],[f3621]) ).
fof(f3621,plain,
( $false
| ~ spl70_36
| spl70_40 ),
inference(subsumption_resolution,[],[f3620,f382]) ).
fof(f3620,plain,
( ~ ssList(sK20)
| ~ spl70_36
| spl70_40 ),
inference(subsumption_resolution,[],[f3619,f3496]) ).
fof(f3496,plain,
( frontsegP(sK20,sK20)
| ~ spl70_36 ),
inference(forward_demodulation,[],[f3495,f3478]) ).
fof(f3478,plain,
( sK20 = sK64(sK20,nil)
| ~ spl70_36 ),
inference(forward_demodulation,[],[f3466,f3326]) ).
fof(f3466,plain,
( sK64(sK20,nil) = app(sK64(sK20,nil),nil)
| ~ spl70_36 ),
inference(resolution,[],[f3381,f459]) ).
fof(f3381,plain,
( ssList(sK64(sK20,nil))
| ~ spl70_36 ),
inference(avatar_component_clause,[],[f3380]) ).
fof(f3380,plain,
( spl70_36
<=> ssList(sK64(sK20,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_36])]) ).
fof(f3495,plain,
( frontsegP(sK20,sK64(sK20,nil))
| ~ spl70_36 ),
inference(subsumption_resolution,[],[f3378,f3381]) ).
fof(f3619,plain,
( ~ frontsegP(sK20,sK20)
| ~ ssList(sK20)
| spl70_40 ),
inference(duplicate_literal_removal,[],[f3618]) ).
fof(f3618,plain,
( ~ frontsegP(sK20,sK20)
| ~ ssList(sK20)
| ~ ssList(sK20)
| spl70_40 ),
inference(resolution,[],[f3612,f585]) ).
fof(f3612,plain,
( ~ ssList(sK67(sK20,sK20))
| spl70_40 ),
inference(avatar_component_clause,[],[f3610]) ).
fof(f3617,plain,
( ~ spl70_40
| spl70_41
| ~ spl70_36 ),
inference(avatar_split_clause,[],[f3513,f3380,f3614,f3610]) ).
fof(f3513,plain,
( rearsegP(sK20,sK67(sK20,sK20))
| ~ ssList(sK67(sK20,sK20))
| ~ spl70_36 ),
inference(subsumption_resolution,[],[f3509,f382]) ).
fof(f3509,plain,
( rearsegP(sK20,sK67(sK20,sK20))
| ~ ssList(sK20)
| ~ ssList(sK67(sK20,sK20))
| ~ spl70_36 ),
inference(superposition,[],[f2137,f3501]) ).
fof(f3501,plain,
( sK20 = app(sK20,sK67(sK20,sK20))
| ~ spl70_36 ),
inference(subsumption_resolution,[],[f3500,f382]) ).
fof(f3500,plain,
( sK20 = app(sK20,sK67(sK20,sK20))
| ~ ssList(sK20)
| ~ spl70_36 ),
inference(duplicate_literal_removal,[],[f3497]) ).
fof(f3497,plain,
( sK20 = app(sK20,sK67(sK20,sK20))
| ~ ssList(sK20)
| ~ ssList(sK20)
| ~ spl70_36 ),
inference(resolution,[],[f3496,f586]) ).
fof(f3592,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_38
| ~ spl70_39 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3591,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_38
| ~ spl70_39 ),
inference(subsumption_resolution,[],[f3590,f1649]) ).
fof(f3590,plain,
( ~ ssList(tl(sK20))
| spl70_38
| ~ spl70_39 ),
inference(subsumption_resolution,[],[f3589,f397]) ).
fof(f3589,plain,
( ~ ssList(nil)
| ~ ssList(tl(sK20))
| spl70_38
| ~ spl70_39 ),
inference(subsumption_resolution,[],[f3588,f3522]) ).
fof(f3522,plain,
( rearsegP(tl(sK20),nil)
| ~ spl70_39 ),
inference(avatar_component_clause,[],[f3520]) ).
fof(f3520,plain,
( spl70_39
<=> rearsegP(tl(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_39])]) ).
fof(f3588,plain,
( ~ rearsegP(tl(sK20),nil)
| ~ ssList(nil)
| ~ ssList(tl(sK20))
| spl70_38 ),
inference(resolution,[],[f3518,f578]) ).
fof(f3518,plain,
( ~ ssList(sK64(tl(sK20),nil))
| spl70_38 ),
inference(avatar_component_clause,[],[f3516]) ).
fof(f3516,plain,
( spl70_38
<=> ssList(sK64(tl(sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_38])]) ).
fof(f3530,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(avatar_contradiction_clause,[],[f3529]) ).
fof(f3529,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(subsumption_resolution,[],[f3528,f397]) ).
fof(f3528,plain,
( ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(subsumption_resolution,[],[f3525,f643]) ).
fof(f3525,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(resolution,[],[f3521,f2798]) ).
fof(f2798,plain,
( ! [X0] :
( rearsegP(tl(sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f2797,f1646]) ).
fof(f2797,plain,
( ! [X0] :
( rearsegP(sK23(sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f2796,f397]) ).
fof(f2796,plain,
( ! [X0] :
( rearsegP(sK23(sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_10 ),
inference(subsumption_resolution,[],[f2760,f1434]) ).
fof(f2760,plain,
( ! [X0] :
( rearsegP(sK23(sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK23(sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_10 ),
inference(superposition,[],[f595,f1470]) ).
fof(f1470,plain,
( sK23(sK20) = app(sK23(sK20),nil)
| ~ spl70_10 ),
inference(resolution,[],[f1434,f459]) ).
fof(f3521,plain,
( ~ rearsegP(tl(sK20),nil)
| spl70_39 ),
inference(avatar_component_clause,[],[f3520]) ).
fof(f3527,plain,
( spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(avatar_contradiction_clause,[],[f3526]) ).
fof(f3526,plain,
( $false
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12
| spl70_39 ),
inference(subsumption_resolution,[],[f3524,f1649]) ).
fof(f3524,plain,
( ~ ssList(tl(sK20))
| spl70_39 ),
inference(resolution,[],[f3521,f454]) ).
fof(f3523,plain,
( ~ spl70_38
| spl70_39
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(avatar_split_clause,[],[f3493,f1499,f1433,f1324,f856,f3520,f3516]) ).
fof(f3493,plain,
( rearsegP(tl(sK20),nil)
| ~ ssList(sK64(tl(sK20),nil))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(subsumption_resolution,[],[f3489,f397]) ).
fof(f3489,plain,
( rearsegP(tl(sK20),nil)
| ~ ssList(sK64(tl(sK20),nil))
| ~ ssList(nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(superposition,[],[f2137,f3364]) ).
fof(f3364,plain,
( tl(sK20) = app(sK64(tl(sK20),nil),nil)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f3330,f1646]) ).
fof(f3330,plain,
( sK23(sK20) = app(sK64(sK23(sK20),nil),nil)
| ~ spl70_10 ),
inference(resolution,[],[f2606,f1434]) ).
fof(f3465,plain,
( spl70_36
| ~ spl70_37 ),
inference(avatar_contradiction_clause,[],[f3464]) ).
fof(f3464,plain,
( $false
| spl70_36
| ~ spl70_37 ),
inference(subsumption_resolution,[],[f3463,f382]) ).
fof(f3463,plain,
( ~ ssList(sK20)
| spl70_36
| ~ spl70_37 ),
inference(subsumption_resolution,[],[f3462,f397]) ).
fof(f3462,plain,
( ~ ssList(nil)
| ~ ssList(sK20)
| spl70_36
| ~ spl70_37 ),
inference(subsumption_resolution,[],[f3461,f3386]) ).
fof(f3461,plain,
( ~ rearsegP(sK20,nil)
| ~ ssList(nil)
| ~ ssList(sK20)
| spl70_36 ),
inference(resolution,[],[f3382,f578]) ).
fof(f3382,plain,
( ~ ssList(sK64(sK20,nil))
| spl70_36 ),
inference(avatar_component_clause,[],[f3380]) ).
fof(f3394,plain,
spl70_37,
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f3393,plain,
( $false
| spl70_37 ),
inference(subsumption_resolution,[],[f3392,f397]) ).
fof(f3392,plain,
( ~ ssList(nil)
| spl70_37 ),
inference(subsumption_resolution,[],[f3389,f643]) ).
fof(f3389,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl70_37 ),
inference(resolution,[],[f3385,f2795]) ).
fof(f3385,plain,
( ~ rearsegP(sK20,nil)
| spl70_37 ),
inference(avatar_component_clause,[],[f3384]) ).
fof(f3391,plain,
spl70_37,
inference(avatar_contradiction_clause,[],[f3390]) ).
fof(f3390,plain,
( $false
| spl70_37 ),
inference(subsumption_resolution,[],[f3388,f382]) ).
fof(f3388,plain,
( ~ ssList(sK20)
| spl70_37 ),
inference(resolution,[],[f3385,f454]) ).
fof(f3387,plain,
( ~ spl70_36
| spl70_37 ),
inference(avatar_split_clause,[],[f3377,f3384,f3380]) ).
fof(f3277,plain,
( ~ spl70_30
| ~ spl70_31
| spl70_34 ),
inference(avatar_contradiction_clause,[],[f3276]) ).
fof(f3276,plain,
( $false
| ~ spl70_30
| ~ spl70_31
| spl70_34 ),
inference(subsumption_resolution,[],[f3275,f382]) ).
fof(f3275,plain,
( ~ ssList(sK20)
| ~ spl70_30
| ~ spl70_31
| spl70_34 ),
inference(subsumption_resolution,[],[f3274,f397]) ).
fof(f3274,plain,
( ~ ssList(nil)
| ~ ssList(sK20)
| ~ spl70_30
| ~ spl70_31
| spl70_34 ),
inference(subsumption_resolution,[],[f3273,f3247]) ).
fof(f3247,plain,
( frontsegP(sK20,nil)
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3246,f3097]) ).
fof(f3097,plain,
( ssList(sK64(sK20,sK20))
| ~ spl70_30 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3096,plain,
( spl70_30
<=> ssList(sK64(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_30])]) ).
fof(f3246,plain,
( frontsegP(sK20,nil)
| ~ ssList(sK64(sK20,sK20))
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3243,f397]) ).
fof(f3243,plain,
( frontsegP(sK20,nil)
| ~ ssList(nil)
| ~ ssList(sK64(sK20,sK20))
| ~ spl70_30
| ~ spl70_31 ),
inference(resolution,[],[f3239,f456]) ).
fof(f3239,plain,
( ! [X0] :
( ~ frontsegP(sK64(sK20,sK20),X0)
| frontsegP(sK20,X0)
| ~ ssList(X0) )
| ~ spl70_30
| ~ spl70_31 ),
inference(global_subsumption,[],[f3238,f607,f388,f387,f422,f640,f428,f638,f432,f431,f450,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f628,f567,f571,f572,f630,f631,f583,f632,f635,f591,f593,f592,f594,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f466,f1416,f1381,f1383,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f866,f1340,f1276,f1337,f1385,f1448,f588,f589,f410,f1615,f1611,f1619,f1621,f1623,f412,f1685,f413,f1752,f1761,f1758,f564,f1782,f1783,f1784,f1785,f1823,f1791,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1788,f1825,f1827,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1845,f1851,f1854,f1846,f1900,f1903,f573,f574,f575,f2137,f2236,f2272,f2309,f430,f451,f452,f570,f2510,f2517,f2518,f2519,f2522,f2557,f2525,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f579,f2604,f2606,f2605,f2632,f2633,f2634,f586,f2710,f2711,f2718,f2719,f2729,f2730,f2731,f595,f2775,f2776,f2809,f2795,f2818,f596,f2895,f2896,f2909,f2916,f2932,f2819,f423,f2976,f2933,f424,f3020,f425,f3023,f3028,f3030,f426,f3031,f3033,f2603,f3034,f3041,f3043,f3081,f3049,f3051,f3052,f3053,f3054,f3055,f3056,f3057,f3058,f3059,f3060,f3061,f3062,f3063,f3064,f3065,f3066,f3067,f3068,f3069,f3070,f3071,f3072,f3073,f3074,f3075,f3076,f3077,f3046,f3092,f3093,f3094,f3097,f3113,f3114,f3115,f3116,f3117,f3119,f3120,f3121,f3111,f3112,f427,f3150,f3152,f3118,f3153,f3155,f3157,f3158,f3159,f3160,f3161,f3162,f3163,f3164,f3165,f3166,f3167,f3168,f3169,f3170,f3171,f3172,f3173,f3176,f3177,f3178,f3179,f3174,f3181,f3182,f3183,f3184,f3138,f3199,f3200,f3149,f3206,f3207,f481]) ).
fof(f3207,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ frontsegP(X0,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3204,f3097]) ).
fof(f3204,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ frontsegP(X0,sK64(sK20,sK20))
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(duplicate_literal_removal,[],[f3203]) ).
fof(f3203,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ frontsegP(X0,sK64(sK20,sK20))
| ~ ssList(sK64(sK20,sK20))
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3149,f575]) ).
fof(f3206,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(X0,sK67(sK64(sK20,sK20),X0)) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3205,f3097]) ).
fof(f3205,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(X0,sK67(sK64(sK20,sK20),X0))
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(duplicate_literal_removal,[],[f3202]) ).
fof(f3202,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(X0,sK67(sK64(sK20,sK20),X0))
| ~ ssList(X0)
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(resolution,[],[f3149,f586]) ).
fof(f3149,plain,
( ! [X0] :
( frontsegP(sK64(sK20,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3148,f397]) ).
fof(f3148,plain,
( ! [X0] :
( frontsegP(sK64(sK20,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3145,f3097]) ).
fof(f3145,plain,
( ! [X0] :
( frontsegP(sK64(sK20,sK20),X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK64(sK20,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_30 ),
inference(superposition,[],[f596,f3112]) ).
fof(f3200,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ rearsegP(X0,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3197,f3097]) ).
fof(f3197,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ rearsegP(X0,sK64(sK20,sK20))
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(duplicate_literal_removal,[],[f3196]) ).
fof(f3196,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = X0
| ~ rearsegP(X0,sK64(sK20,sK20))
| ~ ssList(sK64(sK20,sK20))
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3138,f573]) ).
fof(f3199,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(sK64(sK64(sK20,sK20),X0),X0) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3198,f3097]) ).
fof(f3198,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(sK64(sK64(sK20,sK20),X0),X0)
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(duplicate_literal_removal,[],[f3195]) ).
fof(f3195,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK64(sK20,sK20) = app(sK64(sK64(sK20,sK20),X0),X0)
| ~ ssList(X0)
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(resolution,[],[f3138,f579]) ).
fof(f3138,plain,
( ! [X0] :
( rearsegP(sK64(sK20,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3137,f397]) ).
fof(f3137,plain,
( ! [X0] :
( rearsegP(sK64(sK20,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_30 ),
inference(subsumption_resolution,[],[f3133,f3097]) ).
fof(f3133,plain,
( ! [X0] :
( rearsegP(sK64(sK20,sK20),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK64(sK20,sK20))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl70_30 ),
inference(superposition,[],[f595,f3111]) ).
fof(f3184,plain,
( ! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,sK64(sK20,sK20))
| ~ sP1(cons(sK69,sK64(sK20,sK20)),X0) )
| ~ spl70_30 ),
inference(superposition,[],[f438,f3174]) ).
fof(f3183,plain,
( ! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,sK64(sK20,sK20))
| ~ sP3(cons(sK69,sK64(sK20,sK20)),X0) )
| ~ spl70_30 ),
inference(superposition,[],[f446,f3174]) ).
fof(f3182,plain,
( ! [X0] :
( ~ leq(X0,sK69)
| sP1(cons(sK69,sK64(sK20,sK20)),X0)
| ~ totalorderedP(cons(sK69,sK64(sK20,sK20)))
| nil = cons(sK69,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(superposition,[],[f440,f3174]) ).
fof(f3181,plain,
( ! [X0] :
( ~ lt(X0,sK69)
| sP3(cons(sK69,sK64(sK20,sK20)),X0)
| ~ strictorderedP(cons(sK69,sK64(sK20,sK20)))
| nil = cons(sK69,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(superposition,[],[f448,f3174]) ).
fof(f3174,plain,
( sK69 = hd(cons(sK69,sK64(sK20,sK20)))
| ~ spl70_30 ),
inference(resolution,[],[f3118,f604]) ).
fof(f3179,plain,
( ! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK64(sK20,sK20))
| ~ sP1(cons(sK68,sK64(sK20,sK20)),X0) )
| ~ spl70_30 ),
inference(superposition,[],[f438,f3173]) ).
fof(f3178,plain,
( ! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK64(sK20,sK20))
| ~ sP3(cons(sK68,sK64(sK20,sK20)),X0) )
| ~ spl70_30 ),
inference(superposition,[],[f446,f3173]) ).
fof(f3177,plain,
( ! [X0] :
( ~ leq(X0,sK68)
| sP1(cons(sK68,sK64(sK20,sK20)),X0)
| ~ totalorderedP(cons(sK68,sK64(sK20,sK20)))
| nil = cons(sK68,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(superposition,[],[f440,f3173]) ).
fof(f3176,plain,
( ! [X0] :
( ~ lt(X0,sK68)
| sP3(cons(sK68,sK64(sK20,sK20)),X0)
| ~ strictorderedP(cons(sK68,sK64(sK20,sK20)))
| nil = cons(sK68,sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(superposition,[],[f448,f3173]) ).
fof(f3173,plain,
( sK68 = hd(cons(sK68,sK64(sK20,sK20)))
| ~ spl70_30 ),
inference(resolution,[],[f3118,f603]) ).
fof(f3172,plain,
( ! [X0] :
( sK58(X0) = hd(cons(sK58(X0),sK64(sK20,sK20)))
| sP17(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f546]) ).
fof(f3171,plain,
( ! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK64(sK20,sK20)))
| sP17(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f545]) ).
fof(f3170,plain,
( ! [X0] :
( sK53(X0) = hd(cons(sK53(X0),sK64(sK20,sK20)))
| sP15(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f535]) ).
fof(f3169,plain,
( ! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK64(sK20,sK20)))
| sP15(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f534]) ).
fof(f3168,plain,
( ! [X0] :
( sK48(X0) = hd(cons(sK48(X0),sK64(sK20,sK20)))
| sP13(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f523]) ).
fof(f3167,plain,
( ! [X0] :
( sK47(X0) = hd(cons(sK47(X0),sK64(sK20,sK20)))
| sP13(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f522]) ).
fof(f3166,plain,
( ! [X0] :
( sK43(X0) = hd(cons(sK43(X0),sK64(sK20,sK20)))
| sP11(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f511]) ).
fof(f3165,plain,
( ! [X0] :
( sK42(X0) = hd(cons(sK42(X0),sK64(sK20,sK20)))
| sP11(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f510]) ).
fof(f3164,plain,
( ! [X0] :
( sK38(X0) = hd(cons(sK38(X0),sK64(sK20,sK20)))
| sP9(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f499]) ).
fof(f3163,plain,
( ! [X0] :
( sK37(X0) = hd(cons(sK37(X0),sK64(sK20,sK20)))
| sP9(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f498]) ).
fof(f3162,plain,
( ! [X0] :
( sK33(X0) = hd(cons(sK33(X0),sK64(sK20,sK20)))
| sP7(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f488]) ).
fof(f3161,plain,
( ! [X0] :
( sK32(X0) = hd(cons(sK32(X0),sK64(sK20,sK20)))
| sP7(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f487]) ).
fof(f3160,plain,
( ! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK64(sK20,sK20)))
| sP5(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f478]) ).
fof(f3159,plain,
( ! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK64(sK20,sK20)))
| sP5(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f477]) ).
fof(f3158,plain,
( ! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK64(sK20,sK20)))
| ~ singletonP(X0)
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f471]) ).
fof(f3157,plain,
( ! [X0] :
( sK25(X0) = hd(cons(sK25(X0),sK64(sK20,sK20)))
| nil = X0
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f467]) ).
fof(f3155,plain,
( ! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK64(sK20,sK20)))
| nil = X0
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f462]) ).
fof(f3153,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),sK64(sK20,sK20)))
| nil = X0
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3118,f464]) ).
fof(f3118,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK64(sK20,sK20))) = X0 )
| ~ spl70_30 ),
inference(resolution,[],[f3097,f563]) ).
fof(f3112,plain,
( sK64(sK20,sK20) = app(nil,sK64(sK20,sK20))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f460]) ).
fof(f3111,plain,
( sK64(sK20,sK20) = app(sK64(sK20,sK20),nil)
| ~ spl70_30 ),
inference(resolution,[],[f3097,f459]) ).
fof(f3121,plain,
( sK64(sK20,sK20) = app(sK64(sK64(sK20,sK20),sK64(sK20,sK20)),sK64(sK20,sK20))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f2603]) ).
fof(f3120,plain,
( ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK64(sK20,sK20)))
| ~ ssList(X0) )
| ~ spl70_30 ),
inference(resolution,[],[f3097,f570]) ).
fof(f3119,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK64(sK20,sK20)) = app(cons(X0,nil),sK64(sK20,sK20)) )
| ~ spl70_30 ),
inference(resolution,[],[f3097,f564]) ).
fof(f3117,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK64(sK20,sK20) = tl(cons(X0,sK64(sK20,sK20))) )
| ~ spl70_30 ),
inference(resolution,[],[f3097,f562]) ).
fof(f3116,plain,
( nil = sK64(sK20,sK20)
| tl(sK64(sK20,sK20)) = sK26(sK64(sK20,sK20))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f470]) ).
fof(f3115,plain,
( nil = sK64(sK20,sK20)
| hd(sK64(sK20,sK20)) = sK25(sK64(sK20,sK20))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f468]) ).
fof(f3114,plain,
( nil = sK64(sK20,sK20)
| sK64(sK20,sK20) = cons(hd(sK64(sK20,sK20)),tl(sK64(sK20,sK20)))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f466]) ).
fof(f3113,plain,
( nil = sK64(sK20,sK20)
| sK64(sK20,sK20) = cons(sK24(sK64(sK20,sK20)),sK23(sK64(sK20,sK20)))
| ~ spl70_30 ),
inference(resolution,[],[f3097,f463]) ).
fof(f3238,plain,
( ! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,sK20),X0)
| ~ ssList(sK67(sK20,sK64(sK20,sK20)))
| ~ ssList(X0) )
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3231,f3097]) ).
fof(f3231,plain,
( ! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK64(sK20,sK20),X0)
| ~ ssList(sK67(sK20,sK64(sK20,sK20)))
| ~ ssList(X0)
| ~ ssList(sK64(sK20,sK20)) )
| ~ spl70_30
| ~ spl70_31 ),
inference(superposition,[],[f596,f3125]) ).
fof(f3125,plain,
( sK20 = app(sK64(sK20,sK20),sK67(sK20,sK64(sK20,sK20)))
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3124,f382]) ).
fof(f3124,plain,
( sK20 = app(sK64(sK20,sK20),sK67(sK20,sK64(sK20,sK20)))
| ~ ssList(sK20)
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3122,f3097]) ).
fof(f3122,plain,
( sK20 = app(sK64(sK20,sK20),sK67(sK20,sK64(sK20,sK20)))
| ~ ssList(sK64(sK20,sK20))
| ~ ssList(sK20)
| ~ spl70_31 ),
inference(resolution,[],[f3102,f586]) ).
fof(f3102,plain,
( frontsegP(sK20,sK64(sK20,sK20))
| ~ spl70_31 ),
inference(avatar_component_clause,[],[f3100]) ).
fof(f3100,plain,
( spl70_31
<=> frontsegP(sK20,sK64(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_31])]) ).
fof(f3273,plain,
( ~ frontsegP(sK20,nil)
| ~ ssList(nil)
| ~ ssList(sK20)
| spl70_34 ),
inference(resolution,[],[f3267,f585]) ).
fof(f3267,plain,
( ~ ssList(sK67(sK20,nil))
| spl70_34 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f3265,plain,
( spl70_34
<=> ssList(sK67(sK20,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_34])]) ).
fof(f3272,plain,
( ~ spl70_34
| spl70_35
| ~ spl70_30
| ~ spl70_31 ),
inference(avatar_split_clause,[],[f3263,f3100,f3096,f3269,f3265]) ).
fof(f3269,plain,
( spl70_35
<=> rearsegP(sK20,sK67(sK20,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_35])]) ).
fof(f3263,plain,
( rearsegP(sK20,sK67(sK20,nil))
| ~ ssList(sK67(sK20,nil))
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3259,f397]) ).
fof(f3259,plain,
( rearsegP(sK20,sK67(sK20,nil))
| ~ ssList(nil)
| ~ ssList(sK67(sK20,nil))
| ~ spl70_30
| ~ spl70_31 ),
inference(superposition,[],[f2137,f3251]) ).
fof(f3251,plain,
( sK20 = app(nil,sK67(sK20,nil))
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3250,f382]) ).
fof(f3250,plain,
( sK20 = app(nil,sK67(sK20,nil))
| ~ ssList(sK20)
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3248,f397]) ).
fof(f3248,plain,
( sK20 = app(nil,sK67(sK20,nil))
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ spl70_30
| ~ spl70_31 ),
inference(resolution,[],[f3247,f586]) ).
fof(f3194,plain,
( ~ spl70_32
| spl70_33
| ~ spl70_30
| ~ spl70_31 ),
inference(avatar_split_clause,[],[f3127,f3100,f3096,f3191,f3187]) ).
fof(f3187,plain,
( spl70_32
<=> frontsegP(sK64(sK20,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_32])]) ).
fof(f3191,plain,
( spl70_33
<=> sK20 = sK64(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_33])]) ).
fof(f3127,plain,
( sK20 = sK64(sK20,sK20)
| ~ frontsegP(sK64(sK20,sK20),sK20)
| ~ spl70_30
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3126,f3097]) ).
fof(f3126,plain,
( sK20 = sK64(sK20,sK20)
| ~ frontsegP(sK64(sK20,sK20),sK20)
| ~ ssList(sK64(sK20,sK20))
| ~ spl70_31 ),
inference(subsumption_resolution,[],[f3123,f382]) ).
fof(f3123,plain,
( sK20 = sK64(sK20,sK20)
| ~ frontsegP(sK64(sK20,sK20),sK20)
| ~ ssList(sK20)
| ~ ssList(sK64(sK20,sK20))
| ~ spl70_31 ),
inference(resolution,[],[f3102,f575]) ).
fof(f3110,plain,
spl70_30,
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3109,plain,
( $false
| spl70_30 ),
inference(subsumption_resolution,[],[f3108,f382]) ).
fof(f3108,plain,
( ~ ssList(sK20)
| spl70_30 ),
inference(resolution,[],[f3106,f458]) ).
fof(f3106,plain,
( ~ rearsegP(sK20,sK20)
| spl70_30 ),
inference(subsumption_resolution,[],[f3105,f382]) ).
fof(f3105,plain,
( ~ rearsegP(sK20,sK20)
| ~ ssList(sK20)
| spl70_30 ),
inference(duplicate_literal_removal,[],[f3104]) ).
fof(f3104,plain,
( ~ rearsegP(sK20,sK20)
| ~ ssList(sK20)
| ~ ssList(sK20)
| spl70_30 ),
inference(resolution,[],[f3098,f578]) ).
fof(f3098,plain,
( ~ ssList(sK64(sK20,sK20))
| spl70_30 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3103,plain,
( ~ spl70_30
| spl70_31 ),
inference(avatar_split_clause,[],[f3094,f3100,f3096]) ).
fof(f2503,plain,
~ spl70_28,
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2501,f397]) ).
fof(f2501,plain,
( ~ ssList(nil)
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2489,f604]) ).
fof(f2489,plain,
( ~ ssItem(sK69)
| ~ ssList(nil)
| ~ spl70_28 ),
inference(trivial_inequality_removal,[],[f2487]) ).
fof(f2487,plain,
( nil != nil
| ~ ssItem(sK69)
| ~ ssList(nil)
| ~ spl70_28 ),
inference(superposition,[],[f561,f2428]) ).
fof(f2428,plain,
( nil = cons(sK69,nil)
| ~ spl70_28 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f2426,plain,
( spl70_28
<=> nil = cons(sK69,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_28])]) ).
fof(f2500,plain,
~ spl70_28,
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2499,plain,
( $false
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2498,f397]) ).
fof(f2498,plain,
( ~ ssList(nil)
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2490,f604]) ).
fof(f2490,plain,
( ~ ssItem(sK69)
| ~ ssList(nil)
| ~ spl70_28 ),
inference(trivial_inequality_removal,[],[f2486]) ).
fof(f2486,plain,
( nil != nil
| ~ ssItem(sK69)
| ~ ssList(nil)
| ~ spl70_28 ),
inference(superposition,[],[f560,f2428]) ).
fof(f2497,plain,
( ~ spl70_18
| ~ spl70_28 ),
inference(avatar_contradiction_clause,[],[f2496]) ).
fof(f2496,plain,
( $false
| ~ spl70_18
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2495,f1906]) ).
fof(f2495,plain,
( ~ ssList(cons(sK69,nil))
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2494,f604]) ).
fof(f2494,plain,
( ~ ssItem(sK69)
| ~ ssList(cons(sK69,nil))
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2479,f389]) ).
fof(f2479,plain,
( singletonP(nil)
| ~ ssItem(sK69)
| ~ ssList(cons(sK69,nil))
| ~ spl70_28 ),
inference(superposition,[],[f616,f2428]) ).
fof(f2493,plain,
( spl70_25
| ~ spl70_28 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2492,plain,
( $false
| spl70_25
| ~ spl70_28 ),
inference(subsumption_resolution,[],[f2491,f2269]) ).
fof(f2269,plain,
( sK20 != cons(sK69,sK20)
| spl70_25 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f2268,plain,
( spl70_25
<=> sK20 = cons(sK69,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_25])]) ).
fof(f2491,plain,
( sK20 = cons(sK69,sK20)
| ~ spl70_28 ),
inference(forward_demodulation,[],[f2464,f704]) ).
fof(f2464,plain,
( app(nil,sK20) = cons(sK69,sK20)
| ~ spl70_28 ),
inference(superposition,[],[f1846,f2428]) ).
fof(f2433,plain,
( spl70_28
| spl70_29
| ~ spl70_5
| ~ spl70_18 ),
inference(avatar_split_clause,[],[f1933,f1905,f796,f2430,f2426]) ).
fof(f2430,plain,
( spl70_29
<=> sK69 = sK25(cons(sK69,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_29])]) ).
fof(f1933,plain,
( sK69 = sK25(cons(sK69,nil))
| nil = cons(sK69,nil)
| ~ spl70_5
| ~ spl70_18 ),
inference(forward_demodulation,[],[f1927,f1092]) ).
fof(f1092,plain,
( sK69 = hd(cons(sK69,nil))
| ~ spl70_5 ),
inference(superposition,[],[f1029,f798]) ).
fof(f1927,plain,
( nil = cons(sK69,nil)
| hd(cons(sK69,nil)) = sK25(cons(sK69,nil))
| ~ spl70_18 ),
inference(resolution,[],[f1906,f468]) ).
fof(f2419,plain,
~ spl70_26,
inference(avatar_contradiction_clause,[],[f2418]) ).
fof(f2418,plain,
( $false
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2417,f397]) ).
fof(f2417,plain,
( ~ ssList(nil)
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2405,f603]) ).
fof(f2405,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl70_26 ),
inference(trivial_inequality_removal,[],[f2403]) ).
fof(f2403,plain,
( nil != nil
| ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl70_26 ),
inference(superposition,[],[f561,f2372]) ).
fof(f2372,plain,
( nil = cons(sK68,nil)
| ~ spl70_26 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f2370,plain,
( spl70_26
<=> nil = cons(sK68,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_26])]) ).
fof(f2416,plain,
~ spl70_26,
inference(avatar_contradiction_clause,[],[f2415]) ).
fof(f2415,plain,
( $false
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2414,f397]) ).
fof(f2414,plain,
( ~ ssList(nil)
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2406,f603]) ).
fof(f2406,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl70_26 ),
inference(trivial_inequality_removal,[],[f2402]) ).
fof(f2402,plain,
( nil != nil
| ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl70_26 ),
inference(superposition,[],[f560,f2372]) ).
fof(f2413,plain,
( ~ spl70_16
| ~ spl70_26 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2412,plain,
( $false
| ~ spl70_16
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2411,f1857]) ).
fof(f2411,plain,
( ~ ssList(cons(sK68,nil))
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2410,f603]) ).
fof(f2410,plain,
( ~ ssItem(sK68)
| ~ ssList(cons(sK68,nil))
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2395,f389]) ).
fof(f2395,plain,
( singletonP(nil)
| ~ ssItem(sK68)
| ~ ssList(cons(sK68,nil))
| ~ spl70_26 ),
inference(superposition,[],[f616,f2372]) ).
fof(f2409,plain,
( spl70_23
| ~ spl70_26 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2408,plain,
( $false
| spl70_23
| ~ spl70_26 ),
inference(subsumption_resolution,[],[f2407,f2260]) ).
fof(f2260,plain,
( sK20 != cons(sK68,sK20)
| spl70_23 ),
inference(avatar_component_clause,[],[f2259]) ).
fof(f2259,plain,
( spl70_23
<=> sK20 = cons(sK68,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_23])]) ).
fof(f2407,plain,
( sK20 = cons(sK68,sK20)
| ~ spl70_26 ),
inference(forward_demodulation,[],[f2380,f704]) ).
fof(f2380,plain,
( app(nil,sK20) = cons(sK68,sK20)
| ~ spl70_26 ),
inference(superposition,[],[f1845,f2372]) ).
fof(f2377,plain,
( spl70_26
| spl70_27
| ~ spl70_5
| ~ spl70_16 ),
inference(avatar_split_clause,[],[f1878,f1856,f796,f2374,f2370]) ).
fof(f2374,plain,
( spl70_27
<=> sK68 = sK25(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_27])]) ).
fof(f1878,plain,
( sK68 = sK25(cons(sK68,nil))
| nil = cons(sK68,nil)
| ~ spl70_5
| ~ spl70_16 ),
inference(forward_demodulation,[],[f1872,f1091]) ).
fof(f1091,plain,
( sK68 = hd(cons(sK68,nil))
| ~ spl70_5 ),
inference(superposition,[],[f1028,f798]) ).
fof(f1872,plain,
( nil = cons(sK68,nil)
| hd(cons(sK68,nil)) = sK25(cons(sK68,nil))
| ~ spl70_16 ),
inference(resolution,[],[f1857,f468]) ).
fof(f2271,plain,
( ~ spl70_24
| spl70_25
| ~ spl70_18
| ~ spl70_19 ),
inference(avatar_split_clause,[],[f2248,f1909,f1905,f2268,f2264]) ).
fof(f2264,plain,
( spl70_24
<=> rearsegP(sK20,cons(sK69,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_24])]) ).
fof(f2248,plain,
( sK20 = cons(sK69,sK20)
| ~ rearsegP(sK20,cons(sK69,sK20))
| ~ spl70_18
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2247,f382]) ).
fof(f2247,plain,
( sK20 = cons(sK69,sK20)
| ~ rearsegP(sK20,cons(sK69,sK20))
| ~ ssList(sK20)
| ~ spl70_18
| ~ spl70_19 ),
inference(subsumption_resolution,[],[f2246,f1911]) ).
fof(f2246,plain,
( sK20 = cons(sK69,sK20)
| ~ rearsegP(sK20,cons(sK69,sK20))
| ~ ssList(cons(sK69,sK20))
| ~ ssList(sK20)
| ~ spl70_18 ),
inference(resolution,[],[f2240,f573]) ).
fof(f2240,plain,
( rearsegP(cons(sK69,sK20),sK20)
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2239,f382]) ).
fof(f2239,plain,
( rearsegP(cons(sK69,sK20),sK20)
| ~ ssList(sK20)
| ~ spl70_18 ),
inference(subsumption_resolution,[],[f2231,f1906]) ).
fof(f2231,plain,
( rearsegP(cons(sK69,sK20),sK20)
| ~ ssList(cons(sK69,nil))
| ~ ssList(sK20) ),
inference(superposition,[],[f2137,f1846]) ).
fof(f2262,plain,
( ~ spl70_22
| spl70_23
| ~ spl70_16
| ~ spl70_17 ),
inference(avatar_split_clause,[],[f2245,f1860,f1856,f2259,f2255]) ).
fof(f2255,plain,
( spl70_22
<=> rearsegP(sK20,cons(sK68,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_22])]) ).
fof(f2245,plain,
( sK20 = cons(sK68,sK20)
| ~ rearsegP(sK20,cons(sK68,sK20))
| ~ spl70_16
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2244,f382]) ).
fof(f2244,plain,
( sK20 = cons(sK68,sK20)
| ~ rearsegP(sK20,cons(sK68,sK20))
| ~ ssList(sK20)
| ~ spl70_16
| ~ spl70_17 ),
inference(subsumption_resolution,[],[f2243,f1862]) ).
fof(f2243,plain,
( sK20 = cons(sK68,sK20)
| ~ rearsegP(sK20,cons(sK68,sK20))
| ~ ssList(cons(sK68,sK20))
| ~ ssList(sK20)
| ~ spl70_16 ),
inference(resolution,[],[f2238,f573]) ).
fof(f2238,plain,
( rearsegP(cons(sK68,sK20),sK20)
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2237,f382]) ).
fof(f2237,plain,
( rearsegP(cons(sK68,sK20),sK20)
| ~ ssList(sK20)
| ~ spl70_16 ),
inference(subsumption_resolution,[],[f2230,f1857]) ).
fof(f2230,plain,
( rearsegP(cons(sK68,sK20),sK20)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK20) ),
inference(superposition,[],[f2137,f1845]) ).
fof(f2185,plain,
( ~ spl70_12
| spl70_20 ),
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2184,plain,
( $false
| ~ spl70_12
| spl70_20 ),
inference(subsumption_resolution,[],[f2183,f397]) ).
fof(f2183,plain,
( ~ ssList(nil)
| ~ spl70_12
| spl70_20 ),
inference(subsumption_resolution,[],[f2182,f1500]) ).
fof(f2182,plain,
( ~ ssItem(hd(sK20))
| ~ ssList(nil)
| spl70_20 ),
inference(resolution,[],[f2176,f559]) ).
fof(f2176,plain,
( ~ ssList(cons(hd(sK20),nil))
| spl70_20 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl70_20
<=> ssList(cons(hd(sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_20])]) ).
fof(f2181,plain,
( ~ spl70_20
| spl70_21
| ~ spl70_12 ),
inference(avatar_split_clause,[],[f2172,f1499,f2178,f2174]) ).
fof(f2178,plain,
( spl70_21
<=> ssList(cons(hd(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_21])]) ).
fof(f2172,plain,
( ssList(cons(hd(sK20),sK20))
| ~ ssList(cons(hd(sK20),nil))
| ~ spl70_12 ),
inference(subsumption_resolution,[],[f2168,f382]) ).
fof(f2168,plain,
( ssList(cons(hd(sK20),sK20))
| ~ ssList(sK20)
| ~ ssList(cons(hd(sK20),nil))
| ~ spl70_12 ),
inference(superposition,[],[f569,f1826]) ).
fof(f1826,plain,
( cons(hd(sK20),sK20) = app(cons(hd(sK20),nil),sK20)
| ~ spl70_12 ),
inference(resolution,[],[f1788,f1500]) ).
fof(f1916,plain,
spl70_18,
inference(avatar_contradiction_clause,[],[f1915]) ).
fof(f1915,plain,
( $false
| spl70_18 ),
inference(subsumption_resolution,[],[f1914,f397]) ).
fof(f1914,plain,
( ~ ssList(nil)
| spl70_18 ),
inference(subsumption_resolution,[],[f1913,f604]) ).
fof(f1913,plain,
( ~ ssItem(sK69)
| ~ ssList(nil)
| spl70_18 ),
inference(resolution,[],[f1907,f559]) ).
fof(f1907,plain,
( ~ ssList(cons(sK69,nil))
| spl70_18 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1912,plain,
( ~ spl70_18
| spl70_19 ),
inference(avatar_split_clause,[],[f1903,f1909,f1905]) ).
fof(f1867,plain,
spl70_16,
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1866,plain,
( $false
| spl70_16 ),
inference(subsumption_resolution,[],[f1865,f397]) ).
fof(f1865,plain,
( ~ ssList(nil)
| spl70_16 ),
inference(subsumption_resolution,[],[f1864,f603]) ).
fof(f1864,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| spl70_16 ),
inference(resolution,[],[f1858,f559]) ).
fof(f1858,plain,
( ~ ssList(cons(sK68,nil))
| spl70_16 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1863,plain,
( ~ spl70_16
| spl70_17 ),
inference(avatar_split_clause,[],[f1854,f1860,f1856]) ).
fof(f1748,plain,
( spl70_14
| spl70_15
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(avatar_split_clause,[],[f1737,f1499,f1433,f1324,f856,f1745,f1741]) ).
fof(f1741,plain,
( spl70_14
<=> nil = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_14])]) ).
fof(f1745,plain,
( spl70_15
<=> hd(tl(sK20)) = sK25(tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_15])]) ).
fof(f1737,plain,
( hd(tl(sK20)) = sK25(tl(sK20))
| nil = tl(sK20)
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f1736,f1646]) ).
fof(f1736,plain,
( nil = tl(sK20)
| hd(sK23(sK20)) = sK25(sK23(sK20))
| spl70_7
| ~ spl70_8
| ~ spl70_10
| ~ spl70_12 ),
inference(forward_demodulation,[],[f1474,f1646]) ).
fof(f1474,plain,
( nil = sK23(sK20)
| hd(sK23(sK20)) = sK25(sK23(sK20))
| ~ spl70_10 ),
inference(resolution,[],[f1434,f468]) ).
fof(f1510,plain,
( spl70_7
| spl70_12 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| spl70_7
| spl70_12 ),
inference(subsumption_resolution,[],[f1508,f382]) ).
fof(f1508,plain,
( ~ ssList(sK20)
| spl70_7
| spl70_12 ),
inference(subsumption_resolution,[],[f1507,f857]) ).
fof(f1507,plain,
( nil = sK20
| ~ ssList(sK20)
| spl70_12 ),
inference(resolution,[],[f1501,f464]) ).
fof(f1501,plain,
( ~ ssItem(hd(sK20))
| spl70_12 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1506,plain,
( ~ spl70_12
| ~ spl70_13
| spl70_7 ),
inference(avatar_split_clause,[],[f1497,f856,f1503,f1499]) ).
fof(f1497,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f866,f1340,f1459,f1276,f1337,f1461,f1385,f1448,f1463,f857,f1458,f1460,f1481,f1482,f1483,f1484,f1462,f1489,f1490,f1491,f1492,f1495]) ).
fof(f1495,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(tl(sK20))
| spl70_7 ),
inference(superposition,[],[f561,f1462]) ).
fof(f1492,plain,
( strictorderedP(sK20)
| ~ sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f443,f1462]) ).
fof(f1490,plain,
( totalorderedP(sK20)
| ~ sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| spl70_7 ),
inference(superposition,[],[f435,f1462]) ).
fof(f1484,plain,
( strictorderedP(sK20)
| ~ sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f443,f1460]) ).
fof(f1483,plain,
( ~ strictorderedP(sK20)
| sP3(sK23(sK20),sK24(sK20))
| ~ sP4(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f442,f1460]) ).
fof(f1482,plain,
( totalorderedP(sK20)
| ~ sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f435,f1460]) ).
fof(f1481,plain,
( ~ totalorderedP(sK20)
| sP1(sK23(sK20),sK24(sK20))
| ~ sP2(sK24(sK20),sK23(sK20))
| spl70_7 ),
inference(superposition,[],[f434,f1460]) ).
fof(f1463,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| spl70_7 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f899,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f893,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f616,f1105,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f578,f1139,f1140,f1141,f1142,f1143,f1144,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f440,f1186,f1189,f1190,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1247,f1248,f959,f1260,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f463,f1307,f1272,f1274,f1312,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1308,f1313,f1314,f1315,f1316,f1319,f1320,f1322,f1359,f1361,f857,f1358,f1360,f1371,f1372,f1373,f1374,f466,f1416,f1381,f1383,f1421,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1417,f1422,f1423,f1424,f1425,f1428,f1431,f1429,f866,f1458,f1340,f1459,f1276,f1460,f1337,f1461,f1385,f1462,f1448]) ).
fof(f1457,plain,
( ~ spl70_1
| spl70_2
| ~ spl70_5 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1456,plain,
( $false
| ~ spl70_1
| spl70_2
| ~ spl70_5 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f452,f451,f450,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f570,f571,f572,f573,f574,f575,f630,f579,f631,f583,f632,f586,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f669,f380,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f563,f976,f977,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1073,f865,f1076,f817,f798,f1089,f1090,f1091,f1101,f1102,f616,f1105,f1092,f1106,f1107,f565,f1118,f1119,f1120,f1121,f1122,f1123,f960,f961,f962,f963,f964,f965,f566,f1129,f1130,f1131,f1132,f1133,f1134,f966,f967,f968,f969,f970,f971,f972,f973,f1109,f1110,f1111,f578,f1139,f1140,f1141,f1142,f1143,f1144,f1112,f1113,f1114,f1115,f1116,f1117,f1124,f1125,f1126,f1127,f1128,f581,f1149,f1150,f1151,f1152,f1153,f1154,f582,f1166,f1167,f1168,f1169,f1170,f1171,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f585,f1175,f1176,f1177,f1178,f1179,f1180,f1048,f1049,f1050,f1181,f1051,f1182,f1052,f1183,f1053,f1184,f1155,f1156,f1157,f1158,f1159,f440,f1186,f1196,f1199,f1189,f1190,f1191,f1192,f1160,f1161,f1162,f1163,f1164,f1165,f1200,f1172,f1201,f1173,f1202,f1174,f1203,f904,f1204,f1205,f1206,f1207,f978,f1224,f1225,f1226,f1227,f448,f1254,f1257,f1247,f1248,f1249,f1250,f959,f1260,f1258,f1262,f1135,f1263,f1136,f1264,f1137,f1265,f1138,f1266,f1145,f1267,f1146,f1268,f1147,f1269,f1148,f1270,f463,f1307,f1272,f1274,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f466,f1416,f1381,f1383,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1446,f1448,f1385,f1337,f1276,f1340,f866,f1455]) ).
fof(f1455,plain,
( ~ sP0(nil,sK20,nil,sK20)
| spl70_2
| ~ spl70_5 ),
inference(forward_demodulation,[],[f672,f798]) ).
fof(f1270,plain,
( ! [X0,X1] :
( nil = tl(cons(sK58(cons(X0,X1)),nil))
| ~ ssList(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) )
| ~ spl70_5 ),
inference(resolution,[],[f1148,f442]) ).
fof(f1148,plain,
( ! [X0] :
( strictorderedP(X0)
| nil = tl(cons(sK58(X0),nil))
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1128,f656]) ).
fof(f1269,plain,
( ! [X0,X1] :
( nil = tl(cons(sK57(cons(X0,X1)),nil))
| ~ ssList(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) )
| ~ spl70_5 ),
inference(resolution,[],[f1147,f442]) ).
fof(f1147,plain,
( ! [X0] :
( strictorderedP(X0)
| nil = tl(cons(sK57(X0),nil))
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1127,f656]) ).
fof(f1268,plain,
( ! [X0,X1] :
( nil = tl(cons(sK53(cons(X0,X1)),nil))
| ~ ssList(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) )
| ~ spl70_5 ),
inference(resolution,[],[f1146,f434]) ).
fof(f1146,plain,
( ! [X0] :
( totalorderedP(X0)
| nil = tl(cons(sK53(X0),nil))
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1126,f654]) ).
fof(f1267,plain,
( ! [X0,X1] :
( nil = tl(cons(sK52(cons(X0,X1)),nil))
| ~ ssList(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) )
| ~ spl70_5 ),
inference(resolution,[],[f1145,f434]) ).
fof(f1145,plain,
( ! [X0] :
( totalorderedP(X0)
| nil = tl(cons(sK52(X0),nil))
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1125,f654]) ).
fof(f1262,plain,
( ! [X0] :
( nil = tl(cons(sK27(cons(X0,nil)),nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl70_5 ),
inference(duplicate_literal_removal,[],[f1261]) ).
fof(f1261,plain,
( ! [X0] :
( nil = tl(cons(sK27(cons(X0,nil)),nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) )
| ~ spl70_5 ),
inference(resolution,[],[f1258,f616]) ).
fof(f1258,plain,
( ! [X0] :
( ~ singletonP(X0)
| nil = tl(cons(sK27(X0),nil))
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f937,f798]) ).
fof(f1250,plain,
( ! [X0] :
( ~ lt(X0,sK69)
| sP3(cons(sK69,nil),X0)
| ~ strictorderedP(cons(sK69,nil))
| nil = cons(sK69,nil) )
| ~ spl70_5 ),
inference(superposition,[],[f448,f1092]) ).
fof(f1249,plain,
( ! [X0] :
( ~ lt(X0,sK68)
| sP3(cons(sK68,nil),X0)
| ~ strictorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) )
| ~ spl70_5 ),
inference(superposition,[],[f448,f1091]) ).
fof(f1257,plain,
( ! [X0] :
( nil = cons(sK69,nil)
| ~ strictorderedP(cons(sK69,nil))
| sP3(cons(sK69,nil),X0)
| ~ lt(X0,sK69) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1256,f798]) ).
fof(f1256,plain,
( ! [X0] :
( ~ strictorderedP(cons(sK69,nil))
| sP3(cons(sK69,nil),X0)
| ~ lt(X0,sK69)
| nil = cons(sK69,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1255,f798]) ).
fof(f1255,plain,
( ! [X0] :
( sP3(cons(sK69,nil),X0)
| ~ lt(X0,sK69)
| ~ strictorderedP(cons(sK69,sK19))
| nil = cons(sK69,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1246,f798]) ).
fof(f1254,plain,
( ! [X0] :
( nil = cons(sK68,nil)
| ~ strictorderedP(cons(sK68,nil))
| sP3(cons(sK68,nil),X0)
| ~ lt(X0,sK68) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1253,f798]) ).
fof(f1253,plain,
( ! [X0] :
( ~ strictorderedP(cons(sK68,nil))
| sP3(cons(sK68,nil),X0)
| ~ lt(X0,sK68)
| nil = cons(sK68,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1252,f798]) ).
fof(f1252,plain,
( ! [X0] :
( sP3(cons(sK68,nil),X0)
| ~ lt(X0,sK68)
| ~ strictorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1245,f798]) ).
fof(f1203,plain,
( ! [X0] :
( sK58(X0) = hd(cons(sK58(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1174,f656]) ).
fof(f1174,plain,
( ! [X0] :
( sP17(X0)
| sK58(X0) = hd(cons(sK58(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1027,f798]) ).
fof(f1202,plain,
( ! [X0] :
( sK57(X0) = hd(cons(sK57(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1173,f656]) ).
fof(f1173,plain,
( ! [X0] :
( sP17(X0)
| sK57(X0) = hd(cons(sK57(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1026,f798]) ).
fof(f1201,plain,
( ! [X0] :
( sK53(X0) = hd(cons(sK53(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1172,f654]) ).
fof(f1172,plain,
( ! [X0] :
( sP15(X0)
| sK53(X0) = hd(cons(sK53(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1025,f798]) ).
fof(f1200,plain,
( ! [X0] :
( sK52(X0) = hd(cons(sK52(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl70_5 ),
inference(resolution,[],[f1165,f654]) ).
fof(f1165,plain,
( ! [X0] :
( sP15(X0)
| sK52(X0) = hd(cons(sK52(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1024,f798]) ).
fof(f1164,plain,
( ! [X0] :
( sP13(X0)
| sK48(X0) = hd(cons(sK48(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1023,f798]) ).
fof(f1163,plain,
( ! [X0] :
( sP13(X0)
| sK47(X0) = hd(cons(sK47(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1022,f798]) ).
fof(f1162,plain,
( ! [X0] :
( sP11(X0)
| sK43(X0) = hd(cons(sK43(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1021,f798]) ).
fof(f1161,plain,
( ! [X0] :
( sP11(X0)
| sK42(X0) = hd(cons(sK42(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1020,f798]) ).
fof(f1160,plain,
( ! [X0] :
( sP9(X0)
| sK38(X0) = hd(cons(sK38(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1019,f798]) ).
fof(f1192,plain,
( ! [X0] :
( ~ leq(X0,sK69)
| sP1(cons(sK69,nil),X0)
| ~ totalorderedP(cons(sK69,nil))
| nil = cons(sK69,nil) )
| ~ spl70_5 ),
inference(superposition,[],[f440,f1092]) ).
fof(f1191,plain,
( ! [X0] :
( ~ leq(X0,sK68)
| sP1(cons(sK68,nil),X0)
| ~ totalorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) )
| ~ spl70_5 ),
inference(superposition,[],[f440,f1091]) ).
fof(f1199,plain,
( ! [X0] :
( nil = cons(sK69,nil)
| ~ totalorderedP(cons(sK69,nil))
| sP1(cons(sK69,nil),X0)
| ~ leq(X0,sK69) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1198,f798]) ).
fof(f1198,plain,
( ! [X0] :
( ~ totalorderedP(cons(sK69,nil))
| sP1(cons(sK69,nil),X0)
| ~ leq(X0,sK69)
| nil = cons(sK69,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1197,f798]) ).
fof(f1197,plain,
( ! [X0] :
( sP1(cons(sK69,nil),X0)
| ~ leq(X0,sK69)
| ~ totalorderedP(cons(sK69,sK19))
| nil = cons(sK69,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1188,f798]) ).
fof(f1196,plain,
( ! [X0] :
( nil = cons(sK68,nil)
| ~ totalorderedP(cons(sK68,nil))
| sP1(cons(sK68,nil),X0)
| ~ leq(X0,sK68) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1195,f798]) ).
fof(f1195,plain,
( ! [X0] :
( ~ totalorderedP(cons(sK68,nil))
| sP1(cons(sK68,nil),X0)
| ~ leq(X0,sK68)
| nil = cons(sK68,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1194,f798]) ).
fof(f1194,plain,
( ! [X0] :
( sP1(cons(sK68,nil),X0)
| ~ leq(X0,sK68)
| ~ totalorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1187,f798]) ).
fof(f1159,plain,
( ! [X0] :
( sP9(X0)
| sK37(X0) = hd(cons(sK37(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1018,f798]) ).
fof(f1158,plain,
( ! [X0] :
( sP7(X0)
| sK33(X0) = hd(cons(sK33(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1017,f798]) ).
fof(f1157,plain,
( ! [X0] :
( sP7(X0)
| sK32(X0) = hd(cons(sK32(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1016,f798]) ).
fof(f1156,plain,
( ! [X0] :
( sP5(X0)
| sK29(X0) = hd(cons(sK29(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1015,f798]) ).
fof(f1155,plain,
( ! [X0] :
( sP5(X0)
| sK28(X0) = hd(cons(sK28(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f1014,f798]) ).
fof(f1128,plain,
( ! [X0] :
( sP17(X0)
| nil = tl(cons(sK58(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f951,f798]) ).
fof(f1127,plain,
( ! [X0] :
( sP17(X0)
| nil = tl(cons(sK57(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f950,f798]) ).
fof(f1126,plain,
( ! [X0] :
( sP15(X0)
| nil = tl(cons(sK53(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f949,f798]) ).
fof(f1125,plain,
( ! [X0] :
( sP15(X0)
| nil = tl(cons(sK52(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f948,f798]) ).
fof(f1124,plain,
( ! [X0] :
( sP13(X0)
| nil = tl(cons(sK48(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f947,f798]) ).
fof(f1117,plain,
( ! [X0] :
( sP13(X0)
| nil = tl(cons(sK47(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f946,f798]) ).
fof(f1116,plain,
( ! [X0] :
( sP11(X0)
| nil = tl(cons(sK43(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f945,f798]) ).
fof(f1115,plain,
( ! [X0] :
( sP11(X0)
| nil = tl(cons(sK42(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f944,f798]) ).
fof(f1114,plain,
( ! [X0] :
( sP9(X0)
| nil = tl(cons(sK38(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f943,f798]) ).
fof(f1113,plain,
( ! [X0] :
( sP9(X0)
| nil = tl(cons(sK37(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f942,f798]) ).
fof(f1112,plain,
( ! [X0] :
( sP7(X0)
| nil = tl(cons(sK33(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f941,f798]) ).
fof(f1111,plain,
( ! [X0] :
( sP7(X0)
| nil = tl(cons(sK32(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f940,f798]) ).
fof(f1110,plain,
( ! [X0] :
( sP5(X0)
| nil = tl(cons(sK29(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f939,f798]) ).
fof(f1109,plain,
( ! [X0] :
( sP5(X0)
| nil = tl(cons(sK28(X0),nil)) )
| ~ spl70_5 ),
inference(forward_demodulation,[],[f938,f798]) ).
fof(f1107,plain,
( ! [X0] :
( leq(X0,sK69)
| nil = cons(sK69,nil)
| ~ sP1(cons(sK69,nil),X0) )
| ~ spl70_5 ),
inference(superposition,[],[f438,f1092]) ).
fof(f1106,plain,
( ! [X0] :
( lt(X0,sK69)
| nil = cons(sK69,nil)
| ~ sP3(cons(sK69,nil),X0) )
| ~ spl70_5 ),
inference(superposition,[],[f446,f1092]) ).
fof(f1102,plain,
( ! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP1(cons(sK68,nil),X0) )
| ~ spl70_5 ),
inference(superposition,[],[f438,f1091]) ).
fof(f1101,plain,
( ! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP3(cons(sK68,nil),X0) )
| ~ spl70_5 ),
inference(superposition,[],[f446,f1091]) ).
fof(f1090,plain,
( nil = tl(cons(sK69,nil))
| ~ spl70_5 ),
inference(superposition,[],[f953,f798]) ).
fof(f1089,plain,
( nil = tl(cons(sK68,nil))
| ~ spl70_5 ),
inference(superposition,[],[f952,f798]) ).
fof(f1444,plain,
( spl70_7
| spl70_10 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| spl70_7
| spl70_10 ),
inference(subsumption_resolution,[],[f1442,f382]) ).
fof(f1442,plain,
( ~ ssList(sK20)
| spl70_7
| spl70_10 ),
inference(subsumption_resolution,[],[f1441,f857]) ).
fof(f1441,plain,
( nil = sK20
| ~ ssList(sK20)
| spl70_10 ),
inference(resolution,[],[f1435,f461]) ).
fof(f1435,plain,
( ~ ssList(sK23(sK20))
| spl70_10 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1440,plain,
( ~ spl70_10
| spl70_11
| spl70_7
| ~ spl70_8 ),
inference(avatar_split_clause,[],[f1379,f1324,f856,f1437,f1433]) ).
fof(f1437,plain,
( spl70_11
<=> memberP(sK20,sK24(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_11])]) ).
fof(f1379,plain,
( memberP(sK20,sK24(sK20))
| ~ ssList(sK23(sK20))
| spl70_7
| ~ spl70_8 ),
inference(subsumption_resolution,[],[f1378,f1325]) ).
fof(f1378,plain,
( memberP(sK20,sK24(sK20))
| ~ ssList(sK23(sK20))
| ~ ssItem(sK24(sK20))
| spl70_7 ),
inference(superposition,[],[f639,f1360]) ).
fof(f1356,plain,
( ~ spl70_1
| ~ spl70_2
| ~ spl70_5
| ~ spl70_7 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl70_1
| ~ spl70_2
| ~ spl70_5
| ~ spl70_7 ),
inference(subsumption_resolution,[],[f1344,f1087]) ).
fof(f1087,plain,
( ~ neq(nil,nil)
| ~ spl70_2
| ~ spl70_5 ),
inference(superposition,[],[f732,f798]) ).
fof(f732,plain,
( ~ neq(sK19,nil)
| ~ spl70_2 ),
inference(resolution,[],[f380,f673]) ).
fof(f673,plain,
( sP0(sK19,sK20,sK19,sK20)
| ~ spl70_2 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f1344,plain,
( neq(nil,nil)
| ~ spl70_1
| ~ spl70_7 ),
inference(superposition,[],[f669,f858]) ).
fof(f858,plain,
( nil = sK20
| ~ spl70_7 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1335,plain,
( spl70_7
| spl70_8 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| spl70_7
| spl70_8 ),
inference(subsumption_resolution,[],[f1333,f382]) ).
fof(f1333,plain,
( ~ ssList(sK20)
| spl70_7
| spl70_8 ),
inference(subsumption_resolution,[],[f1332,f857]) ).
fof(f1332,plain,
( nil = sK20
| ~ ssList(sK20)
| spl70_8 ),
inference(resolution,[],[f1326,f462]) ).
fof(f1326,plain,
( ~ ssItem(sK24(sK20))
| spl70_8 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1331,plain,
( ~ spl70_8
| ~ spl70_9
| spl70_7 ),
inference(avatar_split_clause,[],[f1322,f856,f1328,f1324]) ).
fof(f1328,plain,
( spl70_9
<=> sK20 = sK23(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_9])]) ).
fof(f1082,plain,
( spl70_5
| ~ spl70_2 ),
inference(avatar_split_clause,[],[f1078,f671,f796]) ).
fof(f1078,plain,
( nil = sK19
| ~ spl70_2 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f440,f448,f452,f451,f450,f463,f466,f616,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f566,f565,f570,f571,f572,f573,f574,f575,f630,f579,f578,f631,f583,f582,f581,f632,f586,f585,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f673,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f729,f380,f732,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f784,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f904,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f563,f976,f977,f978,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1072,f1073,f1074,f865,f1075,f1076,f1077,f817]) ).
fof(f1077,plain,
( nil = sK19
| ~ spl70_2 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f440,f448,f452,f451,f450,f463,f466,f616,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f566,f565,f570,f571,f572,f573,f574,f575,f630,f579,f578,f631,f583,f582,f581,f632,f586,f585,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f673,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f729,f380,f732,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f784,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f904,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f563,f976,f977,f978,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1072,f1073,f1074,f865,f1075,f1076]) ).
fof(f1075,plain,
( nil = sK19
| ~ spl70_2 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f440,f448,f452,f451,f450,f463,f466,f616,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f566,f565,f570,f571,f572,f573,f574,f575,f630,f579,f578,f631,f583,f582,f581,f632,f586,f585,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f673,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f729,f380,f732,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f784,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f904,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f563,f976,f977,f978,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1072,f1073,f1074,f865]) ).
fof(f1074,plain,
( nil = sK19
| ~ spl70_2 ),
inference(global_subsumption,[],[f607,f388,f387,f410,f412,f413,f422,f640,f423,f424,f425,f426,f427,f430,f428,f638,f432,f431,f440,f448,f452,f451,f450,f463,f466,f616,f481,f617,f492,f637,f503,f620,f515,f621,f527,f622,f539,f623,f550,f624,f625,f626,f627,f564,f628,f567,f566,f565,f570,f571,f572,f573,f574,f575,f630,f579,f578,f631,f583,f582,f581,f632,f586,f585,f635,f589,f588,f591,f593,f592,f594,f595,f596,f597,f598,f599,f600,f601,f602,f381,f382,f383,f384,f389,f390,f391,f392,f393,f394,f395,f396,f397,f603,f604,f385,f386,f605,f612,f614,f642,f643,f644,f483,f494,f506,f518,f530,f541,f552,f398,f399,f400,f401,f453,f454,f455,f456,f457,f458,f477,f478,f479,f480,f487,f488,f489,f490,f491,f498,f499,f500,f501,f502,f510,f511,f512,f513,f514,f522,f523,f524,f525,f526,f534,f535,f536,f537,f538,f545,f546,f547,f548,f549,f636,f641,f645,f402,f403,f404,f405,f406,f407,f408,f474,f484,f495,f507,f519,f531,f532,f542,f543,f648,f649,f650,f651,f652,f653,f654,f655,f656,f665,f658,f673,f441,f449,f459,f700,f701,f676,f677,f460,f727,f728,f703,f704,f471,f482,f493,f504,f505,f516,f517,f528,f529,f540,f551,f378,f729,f380,f732,f437,f445,f461,f735,f736,f462,f464,f465,f737,f738,f467,f469,f739,f740,f553,f555,f557,f559,f756,f757,f569,f758,f759,f560,f561,f639,f680,f681,f682,f683,f409,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f766,f411,f695,f767,f696,f768,f697,f769,f698,f770,f699,f771,f707,f708,f709,f710,f711,f712,f414,f713,f714,f715,f716,f717,f718,f719,f720,f721,f772,f722,f773,f723,f774,f415,f777,f724,f779,f725,f780,f726,f781,f417,f784,f418,f419,f421,f434,f435,f438,f442,f443,f446,f810,f811,f812,f468,f843,f814,f816,f849,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f818,f470,f891,f862,f864,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f472,f562,f902,f903,f904,f905,f932,f933,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f906,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f907,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f563,f976,f977,f978,f979,f1006,f1007,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f974,f975,f980,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1030,f1031,f1029,f1033,f1034,f981,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1056,f1057,f1055,f1059,f1060,f577,f1072,f1073]) ).
fof(f1072,plain,
( nil = sK19
| ~ spl70_2 ),
inference(subsumption_resolution,[],[f1071,f381]) ).
fof(f1071,plain,
( nil = sK19
| ~ ssList(sK19)
| ~ spl70_2 ),
inference(subsumption_resolution,[],[f1064,f397]) ).
fof(f1064,plain,
( nil = sK19
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl70_2 ),
inference(resolution,[],[f577,f732]) ).
fof(f784,plain,
( nil = sK19
| ~ ssItem(nil)
| ~ ssItem(sK19)
| ~ spl70_2 ),
inference(resolution,[],[f417,f732]) ).
fof(f729,plain,
( neq(sK20,nil)
| ~ spl70_2 ),
inference(resolution,[],[f378,f673]) ).
fof(f1081,plain,
( spl70_5
| ~ spl70_2 ),
inference(avatar_split_clause,[],[f1077,f671,f796]) ).
fof(f1080,plain,
( spl70_5
| ~ spl70_2 ),
inference(avatar_split_clause,[],[f1075,f671,f796]) ).
fof(f1079,plain,
( spl70_5
| ~ spl70_2 ),
inference(avatar_split_clause,[],[f1074,f671,f796]) ).
fof(f1070,plain,
( ~ spl70_2
| spl70_5 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl70_2
| spl70_5 ),
inference(subsumption_resolution,[],[f1068,f381]) ).
fof(f1068,plain,
( ~ ssList(sK19)
| ~ spl70_2
| spl70_5 ),
inference(subsumption_resolution,[],[f1067,f397]) ).
fof(f1067,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl70_2
| spl70_5 ),
inference(subsumption_resolution,[],[f1064,f797]) ).
fof(f797,plain,
( nil != sK19
| spl70_5 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f859,plain,
( spl70_6
| spl70_7 ),
inference(avatar_split_clause,[],[f818,f856,f852]) ).
fof(f852,plain,
( spl70_6
<=> hd(sK20) = sK25(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_6])]) ).
fof(f799,plain,
( ~ spl70_3
| ~ spl70_4
| spl70_5
| ~ spl70_2 ),
inference(avatar_split_clause,[],[f784,f671,f796,f792,f788]) ).
fof(f788,plain,
( spl70_3
<=> ssItem(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_3])]) ).
fof(f792,plain,
( spl70_4
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_4])]) ).
fof(f731,plain,
( spl70_1
| ~ spl70_2 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| spl70_1
| ~ spl70_2 ),
inference(subsumption_resolution,[],[f729,f668]) ).
fof(f668,plain,
( ~ neq(sK20,nil)
| spl70_1 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f674,plain,
( spl70_1
| spl70_2 ),
inference(avatar_split_clause,[],[f658,f671,f667]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC204+1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 03:38:22 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (26669)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26672)WARNING: value z3 for option sas not known
% 0.15/0.37 % (26676)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 % (26670)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (26671)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (26673)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (26672)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (26675)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37 % (26674)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.45 TRYING [4]
% 0.21/0.53 TRYING [5]
% 0.21/0.55 TRYING [5]
% 1.82/0.60 % (26672)First to succeed.
% 2.03/0.63 % (26672)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26669"
% 2.03/0.63 % (26672)Refutation found. Thanks to Tanya!
% 2.03/0.63 % SZS status Theorem for theBenchmark
% 2.03/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.64 % (26672)------------------------------
% 2.03/0.64 % (26672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.03/0.64 % (26672)Termination reason: Refutation
% 2.03/0.64
% 2.03/0.64 % (26672)Memory used [KB]: 5264
% 2.03/0.64 % (26672)Time elapsed: 0.259 s
% 2.03/0.64 % (26672)Instructions burned: 743 (million)
% 2.03/0.64 % (26669)Success in time 0.281 s
%------------------------------------------------------------------------------