TSTP Solution File: SWC218-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 10:15:34 EDT 2024

% Result   : Unsatisfiable 0.17s 0.43s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  214
% Syntax   : Number of formulae    : 1021 ( 408 unt;   0 def)
%            Number of atoms       : 2456 ( 895 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2676 (1241   ~;1416   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   40 (  38 usr;  20 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;  10 con; 0-2 aty)
%            Number of variables   :  983 ( 983   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1912,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f1034,f1050,f1054,f1124,f1140,f1144,f1528,f1532,f1614,f1620,f1623,f1626,f1665,f1721,f1725,f1844,f1854,f1880,f1886,f1891,f1896,f1899,f1901,f1903,f1905,f1907,f1909,f1911]) ).

fof(f1911,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1033,f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101,f1640]) ).

fof(f1640,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f1108,f190]) ).

fof(f1108,plain,
    ( nil = sk2
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(forward_demodulation,[],[f1103,f190]) ).

fof(f1103,plain,
    ( nil = sk4
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(resolution,[],[f109,f189]) ).

fof(f1101,plain,
    ( nil = sk2
    | sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
    inference(resolution,[],[f109,f187]) ).

fof(f1894,plain,
    ( nil != sk2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1893,f193]) ).

fof(f1893,plain,
    ( nil != sk2
    | ~ ssList(sk6)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1892,f1122]) ).

fof(f1892,plain,
    ( nil != sk2
    | nil = sk5
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1223,f192]) ).

fof(f1223,plain,
    ( nil != sk2
    | ~ ssList(sk5)
    | nil = sk5
    | ~ ssList(sk6) ),
    inference(superposition,[],[f118,f234]) ).

fof(f1889,plain,
    ( nil != sk2
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1888,f8]) ).

fof(f1888,plain,
    ( nil != sk2
    | ~ ssList(nil)
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1887,f1122]) ).

fof(f1887,plain,
    ( nil != sk2
    | nil = sk5
    | ~ ssList(nil)
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1742,f192]) ).

fof(f1742,plain,
    ( nil != sk2
    | ~ ssList(sk5)
    | nil = sk5
    | ~ ssList(nil)
    | ~ spl0_13 ),
    inference(superposition,[],[f118,f1727]) ).

fof(f1764,plain,
    ( nil != sk2
    | spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f1122,f1739]) ).

fof(f1767,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f1669,f1739]) ).

fof(f1768,plain,
    ( sk2 != skaf82(sk2)
    | spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f1706,f1739]) ).

fof(f1769,plain,
    ( memberP(sk2,skaf83(sk2))
    | spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f1712,f1739]) ).

fof(f1884,plain,
    ( nil = sk2
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f128,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883]) ).

fof(f1883,plain,
    ( nil != cons(sk7,sk2)
    | nil = sk2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1791,f187]) ).

fof(f1791,plain,
    ( nil != cons(sk7,sk2)
    | nil = sk2
    | ~ ssList(sk2)
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1787,f1523]) ).

fof(f1787,plain,
    ( nil != cons(sk7,sk2)
    | ~ ssList(cons(sk7,nil))
    | nil = sk2
    | ~ ssList(sk2) ),
    inference(superposition,[],[f119,f1496]) ).

fof(f1882,plain,
    ( nil = cons(sk7,nil)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f128,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795]) ).

fof(f1795,plain,
    ( nil != cons(sk7,sk2)
    | nil = cons(sk7,nil)
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1794,f187]) ).

fof(f1794,plain,
    ( nil != cons(sk7,sk2)
    | nil = cons(sk7,nil)
    | ~ ssList(sk2)
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1788,f1523]) ).

fof(f1788,plain,
    ( nil != cons(sk7,sk2)
    | ~ ssList(cons(sk7,nil))
    | nil = cons(sk7,nil)
    | ~ ssList(sk2) ),
    inference(superposition,[],[f118,f1496]) ).

fof(f1804,plain,
    ( nil = cons(sk7,sk2)
    | cons(sk7,sk2) = cons(skaf83(cons(sk7,sk2)),skaf82(cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f109]) ).

fof(f1881,plain,
    ( nil = sk2
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1877,f1523]) ).

fof(f1877,plain,
    ( nil = sk2
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1873,f187]) ).

fof(f1873,plain,
    ( ~ ssList(sk2)
    | nil = sk2
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1870]) ).

fof(f1870,plain,
    ( nil != nil
    | ~ ssList(sk2)
    | nil = sk2
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f118,f1865]) ).

fof(f1876,plain,
    ( nil = cons(sk7,nil)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1875,f1523]) ).

fof(f1875,plain,
    ( nil = cons(sk7,nil)
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1874,f187]) ).

fof(f1874,plain,
    ( ~ ssList(sk2)
    | nil = cons(sk7,nil)
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1869]) ).

fof(f1869,plain,
    ( nil != nil
    | ~ ssList(sk2)
    | nil = cons(sk7,nil)
    | ~ ssList(cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f119,f1865]) ).

fof(f1865,plain,
    ( nil = app(sk2,cons(sk7,nil))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1864,f8]) ).

fof(f1864,plain,
    ( nil = app(sk2,cons(sk7,nil))
    | ~ ssList(nil)
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1863,f1774]) ).

fof(f1863,plain,
    ( ~ ssList(app(sk2,cons(sk7,nil)))
    | nil = app(sk2,cons(sk7,nil))
    | ~ ssList(nil)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1860]) ).

fof(f1860,plain,
    ( nil != nil
    | ~ ssList(app(sk2,cons(sk7,nil)))
    | nil = app(sk2,cons(sk7,nil))
    | ~ ssList(nil)
    | ~ spl0_13 ),
    inference(superposition,[],[f118,f1858]) ).

fof(f1858,plain,
    ( nil = app(app(sk2,cons(sk7,nil)),nil)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1738,f1739]) ).

fof(f1855,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | rearsegP(app(X0,X1),X1) ),
    inference(subsumption_resolution,[],[f208,f85]) ).

fof(f1811,plain,
    ( sk7 = hd(cons(sk7,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f595]) ).

fof(f1810,plain,
    ( skac2 = hd(cons(skac2,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f578]) ).

fof(f1827,plain,
    ! [X0] :
      ( skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1826,f87]) ).

fof(f1826,plain,
    ! [X0] :
      ( ~ leq(skaf50(X0),skaf49(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1825,f46]) ).

fof(f1825,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | ~ leq(skaf50(X0),skaf49(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1819,f45]) ).

fof(f1819,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | ~ ssItem(skaf49(X0))
      | ~ leq(skaf50(X0),skaf49(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f130,f88]) ).

fof(f1824,plain,
    ! [X0] :
      ( skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1823,f88]) ).

fof(f1823,plain,
    ! [X0] :
      ( ~ leq(skaf49(X0),skaf50(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1822,f45]) ).

fof(f1822,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | ~ leq(skaf49(X0),skaf50(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1818,f46]) ).

fof(f1818,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | ~ ssItem(skaf50(X0))
      | ~ leq(skaf49(X0),skaf50(X0))
      | skaf50(X0) = skaf49(X0)
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f130,f87]) ).

fof(f1820,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ geq(X0,X1) ),
    inference(duplicate_literal_removal,[],[f1817]) ).

fof(f1817,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X0)
      | ~ geq(X0,X1)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f130,f107]) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1809,plain,
    ( skac3 = hd(cons(skac3,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f577]) ).

fof(f1812,plain,
    ( cons(sk7,cons(sk7,sk2)) = app(cons(sk7,nil),cons(sk7,sk2))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f1362]) ).

fof(f1808,plain,
    ( cons(sk7,sk2) = tl(cons(sk7,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f521]) ).

fof(f1807,plain,
    ( cons(sk7,sk2) = tl(cons(skac2,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f504]) ).

fof(f1806,plain,
    ( cons(sk7,sk2) = tl(cons(skac3,cons(sk7,sk2)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f503]) ).

fof(f1802,plain,
    ( cons(sk7,sk2) = app(nil,cons(sk7,sk2))
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f74]) ).

fof(f1801,plain,
    ( cons(sk7,sk2) = app(cons(sk7,sk2),nil)
    | ~ spl0_11 ),
    inference(resolution,[],[f1800,f73]) ).

fof(f1800,plain,
    ( ssList(cons(sk7,sk2))
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1799,f187]) ).

fof(f1799,plain,
    ( ssList(cons(sk7,sk2))
    | ~ ssList(sk2)
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1790,f1523]) ).

fof(f1790,plain,
    ( ssList(cons(sk7,sk2))
    | ~ ssList(cons(sk7,nil))
    | ~ ssList(sk2) ),
    inference(superposition,[],[f85,f1496]) ).

fof(f1496,plain,
    cons(sk7,sk2) = app(cons(sk7,nil),sk2),
    inference(resolution,[],[f1362,f187]) ).

fof(f1786,plain,
    ( cons(sk7,app(sk2,cons(sk7,nil))) = app(cons(sk7,nil),app(sk2,cons(sk7,nil)))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f1362]) ).

fof(f1785,plain,
    ( sk7 = hd(cons(sk7,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f595]) ).

fof(f1784,plain,
    ( skac2 = hd(cons(skac2,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f578]) ).

fof(f1783,plain,
    ( skac3 = hd(cons(skac3,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f577]) ).

fof(f1782,plain,
    ( app(sk2,cons(sk7,nil)) = tl(cons(sk7,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f521]) ).

fof(f1781,plain,
    ( app(sk2,cons(sk7,nil)) = tl(cons(skac2,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f504]) ).

fof(f1780,plain,
    ( app(sk2,cons(sk7,nil)) = tl(cons(skac3,app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f503]) ).

fof(f1778,plain,
    ( nil = app(sk2,cons(sk7,nil))
    | app(sk2,cons(sk7,nil)) = cons(skaf83(app(sk2,cons(sk7,nil))),skaf82(app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f109]) ).

fof(f1777,plain,
    ( nil = app(sk2,cons(sk7,nil))
    | app(sk2,cons(sk7,nil)) = cons(hd(app(sk2,cons(sk7,nil))),tl(app(sk2,cons(sk7,nil))))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f104]) ).

fof(f1776,plain,
    ( app(sk2,cons(sk7,nil)) = app(nil,app(sk2,cons(sk7,nil)))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f74]) ).

fof(f1775,plain,
    ( app(sk2,cons(sk7,nil)) = app(app(sk2,cons(sk7,nil)),nil)
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1774,f73]) ).

fof(f1774,plain,
    ( ssList(app(sk2,cons(sk7,nil)))
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1719,f1739]) ).

fof(f1773,plain,
    ( nil = app(app(sk2,cons(sk7,nil)),nil)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1772,f645]) ).

fof(f1772,plain,
    ( sk1 = app(app(sk2,cons(sk7,nil)),nil)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1754,f1716]) ).

fof(f1754,plain,
    ( sk1 = app(app(sk2,cons(sk7,nil)),sk6)
    | ~ spl0_13 ),
    inference(superposition,[],[f278,f1739]) ).

fof(f1739,plain,
    ( sk2 = sk5
    | ~ spl0_13 ),
    inference(superposition,[],[f1727,f311]) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f1740,plain,
    ( sk2 = sk5
    | ~ spl0_13 ),
    inference(superposition,[],[f311,f1727]) ).

fof(f1727,plain,
    ( sk2 = app(sk5,nil)
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f1716]) ).

fof(f1738,plain,
    ( nil = app(app(sk5,cons(sk7,nil)),nil)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1729,f645]) ).

fof(f1729,plain,
    ( sk1 = app(app(sk5,cons(sk7,nil)),nil)
    | ~ spl0_13 ),
    inference(superposition,[],[f278,f1716]) ).

fof(f1716,plain,
    ( nil = sk6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1714]) ).

fof(f1714,plain,
    ( spl0_13
  <=> nil = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1719,plain,
    ( ssList(app(sk5,cons(sk7,nil)))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1718]) ).

fof(f1718,plain,
    ( spl0_14
  <=> ssList(app(sk5,cons(sk7,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1633,plain,
    ( ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = sk6 ),
    inference(subsumption_resolution,[],[f1632,f193]) ).

fof(f1632,plain,
    ( ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = sk6
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1316,f645]) ).

fof(f1316,plain,
    ( nil != sk1
    | ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = sk6
    | ~ ssList(sk6) ),
    inference(superposition,[],[f119,f278]) ).

fof(f1712,plain,
    ( memberP(sk5,skaf83(sk5))
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1711,f12]) ).

fof(f1711,plain,
    ( memberP(sk5,skaf83(sk5))
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1703,f13]) ).

fof(f1703,plain,
    ( memberP(sk5,skaf83(sk5))
    | ~ ssList(skaf82(sk5))
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(superposition,[],[f224,f1669]) ).

fof(f1706,plain,
    ( sk5 != skaf82(sk5)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1705,f12]) ).

fof(f1705,plain,
    ( sk5 != skaf82(sk5)
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1700,f13]) ).

fof(f1700,plain,
    ( sk5 != skaf82(sk5)
    | ~ ssList(skaf82(sk5))
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(superposition,[],[f99,f1669]) ).

fof(f1710,plain,
    ( ~ totalorderedP(sk5)
    | totalorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1709,f12]) ).

fof(f1709,plain,
    ( ~ totalorderedP(sk5)
    | totalorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1702,f13]) ).

fof(f1702,plain,
    ( ~ totalorderedP(sk5)
    | ~ ssList(skaf82(sk5))
    | totalorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(superposition,[],[f125,f1669]) ).

fof(f1708,plain,
    ( ~ strictorderedP(sk5)
    | strictorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1707,f12]) ).

fof(f1707,plain,
    ( ~ strictorderedP(sk5)
    | strictorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1701,f13]) ).

fof(f1701,plain,
    ( ~ strictorderedP(sk5)
    | ~ ssList(skaf82(sk5))
    | strictorderedP(skaf82(sk5))
    | nil = skaf82(sk5)
    | ~ ssItem(skaf83(sk5))
    | spl0_8 ),
    inference(superposition,[],[f124,f1669]) ).

fof(f1669,plain,
    ( sk5 = cons(skaf83(sk5),skaf82(sk5))
    | spl0_8 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f130,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f1122,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1500,f1505,f1496,f1630,f1640,f1101,f127,f1018,f1105,f1633,f1499,f1104]) ).

fof(f128,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f1122,plain,
    ( nil != sk5
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1121,plain,
    ( spl0_8
  <=> nil = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1227,plain,
    ( ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = app(sk5,cons(sk7,nil)) ),
    inference(subsumption_resolution,[],[f1226,f193]) ).

fof(f1226,plain,
    ( ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = app(sk5,cons(sk7,nil))
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1220,f645]) ).

fof(f1220,plain,
    ( nil != sk1
    | ~ ssList(app(sk5,cons(sk7,nil)))
    | nil = app(sk5,cons(sk7,nil))
    | ~ ssList(sk6) ),
    inference(superposition,[],[f118,f278]) ).

fof(f1104,plain,
    ( nil = sk5
    | sk5 = cons(skaf83(sk5),skaf82(sk5)) ),
    inference(resolution,[],[f109,f192]) ).

fof(f1499,plain,
    cons(sk7,sk5) = app(cons(sk7,nil),sk5),
    inference(resolution,[],[f1362,f192]) ).

fof(f1105,plain,
    ( nil = sk6
    | sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
    inference(resolution,[],[f109,f193]) ).

fof(f1018,plain,
    ( nil = sk6
    | sk6 = cons(hd(sk6),tl(sk6)) ),
    inference(resolution,[],[f104,f193]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ segmentP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f1630,plain,
    ( nil != sk2
    | nil = sk6 ),
    inference(subsumption_resolution,[],[f1629,f193]) ).

fof(f1629,plain,
    ( nil != sk2
    | nil = sk6
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f1320,f192]) ).

fof(f1320,plain,
    ( nil != sk2
    | ~ ssList(sk5)
    | nil = sk6
    | ~ ssList(sk6) ),
    inference(superposition,[],[f119,f234]) ).

fof(f1505,plain,
    cons(sk7,sk2) = app(cons(sk7,nil),sk2),
    inference(forward_demodulation,[],[f1498,f190]) ).

fof(f1498,plain,
    cons(sk7,sk4) = app(cons(sk7,nil),sk4),
    inference(resolution,[],[f1362,f189]) ).

fof(f1500,plain,
    cons(sk7,sk6) = app(cons(sk7,nil),sk6),
    inference(resolution,[],[f1362,f193]) ).

fof(f1536,plain,
    ( cons(sk7,nil) = app(nil,cons(sk7,nil))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f74]) ).

fof(f1563,plain,
    ( ! [X0] : cons(sk7,cons(sk7,skaf82(X0))) = app(cons(sk7,nil),cons(sk7,skaf82(X0)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f1362]) ).

fof(f1562,plain,
    ( ! [X0] : sk7 = hd(cons(sk7,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f595]) ).

fof(f1561,plain,
    ( ! [X0] : skac2 = hd(cons(skac2,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f578]) ).

fof(f1560,plain,
    ( ! [X0] : skac3 = hd(cons(skac3,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f577]) ).

fof(f1559,plain,
    ( ! [X0] : cons(sk7,skaf82(X0)) = tl(cons(sk7,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f521]) ).

fof(f1558,plain,
    ( ! [X0] : cons(sk7,skaf82(X0)) = tl(cons(skac2,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f504]) ).

fof(f1557,plain,
    ( ! [X0] : cons(sk7,skaf82(X0)) = tl(cons(skac3,cons(sk7,skaf82(X0))))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f503]) ).

fof(f1555,plain,
    ( ! [X0] :
        ( nil = cons(sk7,skaf82(X0))
        | cons(sk7,skaf82(X0)) = cons(skaf83(cons(sk7,skaf82(X0))),skaf82(cons(sk7,skaf82(X0)))) )
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f109]) ).

fof(f1553,plain,
    ( ! [X0] : cons(sk7,skaf82(X0)) = app(nil,cons(sk7,skaf82(X0)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f74]) ).

fof(f1552,plain,
    ( ! [X0] : cons(sk7,skaf82(X0)) = app(cons(sk7,skaf82(X0)),nil)
    | ~ spl0_11 ),
    inference(resolution,[],[f1551,f73]) ).

fof(f1551,plain,
    ( ! [X0] : ssList(cons(sk7,skaf82(X0)))
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1520,f1523]) ).

fof(f1545,plain,
    ( sk7 = hd(cons(sk7,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f595]) ).

fof(f1544,plain,
    ( skac2 = hd(cons(skac2,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f578]) ).

fof(f1543,plain,
    ( skac3 = hd(cons(skac3,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f577]) ).

fof(f1546,plain,
    ( cons(sk7,cons(sk7,nil)) = app(cons(sk7,nil),cons(sk7,nil))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f1362]) ).

fof(f1542,plain,
    ( cons(sk7,nil) = tl(cons(sk7,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f521]) ).

fof(f1541,plain,
    ( cons(sk7,nil) = tl(cons(skac2,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f504]) ).

fof(f1540,plain,
    ( cons(sk7,nil) = tl(cons(skac3,cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f503]) ).

fof(f1538,plain,
    ( nil = cons(sk7,nil)
    | cons(sk7,nil) = cons(skaf83(cons(sk7,nil)),skaf82(cons(sk7,nil)))
    | ~ spl0_11 ),
    inference(resolution,[],[f1523,f109]) ).

fof(f1523,plain,
    ( ssList(cons(sk7,nil))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1522,plain,
    ( spl0_11
  <=> ssList(cons(sk7,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f126,axiom,
    ! [X0,X1] :
      ( ~ geq(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ geq(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f1520,plain,
    ! [X0] :
      ( ssList(cons(sk7,skaf82(X0)))
      | ~ ssList(cons(sk7,nil)) ),
    inference(subsumption_resolution,[],[f1516,f13]) ).

fof(f1516,plain,
    ! [X0] :
      ( ssList(cons(sk7,skaf82(X0)))
      | ~ ssList(cons(sk7,nil))
      | ~ ssList(skaf82(X0)) ),
    inference(superposition,[],[f85,f1465]) ).

fof(f1518,plain,
    ! [X0] :
      ( nil != cons(sk7,skaf82(X0))
      | ~ ssList(cons(sk7,nil))
      | nil = cons(sk7,nil) ),
    inference(subsumption_resolution,[],[f1514,f13]) ).

fof(f1514,plain,
    ! [X0] :
      ( nil != cons(sk7,skaf82(X0))
      | ~ ssList(cons(sk7,nil))
      | nil = cons(sk7,nil)
      | ~ ssList(skaf82(X0)) ),
    inference(superposition,[],[f118,f1465]) ).

fof(f1517,plain,
    ! [X0] :
      ( nil != cons(sk7,skaf82(X0))
      | ~ ssList(cons(sk7,nil))
      | nil = skaf82(X0) ),
    inference(subsumption_resolution,[],[f1513,f13]) ).

fof(f1513,plain,
    ! [X0] :
      ( nil != cons(sk7,skaf82(X0))
      | ~ ssList(cons(sk7,nil))
      | nil = skaf82(X0)
      | ~ ssList(skaf82(X0)) ),
    inference(superposition,[],[f119,f1465]) ).

fof(f1465,plain,
    ! [X0] : cons(sk7,skaf82(X0)) = app(cons(sk7,nil),skaf82(X0)),
    inference(resolution,[],[f1362,f13]) ).

fof(f1464,plain,
    cons(sk7,nil) = app(cons(sk7,nil),nil),
    inference(resolution,[],[f1362,f8]) ).

fof(f1504,plain,
    cons(sk7,nil) = app(cons(sk7,nil),nil),
    inference(forward_demodulation,[],[f1503,f645]) ).

fof(f1503,plain,
    cons(sk7,sk1) = app(cons(sk7,nil),sk1),
    inference(forward_demodulation,[],[f1497,f191]) ).

fof(f1497,plain,
    cons(sk7,sk3) = app(cons(sk7,nil),sk3),
    inference(resolution,[],[f1362,f188]) ).

fof(f1501,plain,
    cons(sk7,nil) = app(cons(sk7,nil),nil),
    inference(forward_demodulation,[],[f1495,f645]) ).

fof(f1495,plain,
    cons(sk7,sk1) = app(cons(sk7,nil),sk1),
    inference(resolution,[],[f1362,f186]) ).

fof(f1494,plain,
    ! [X0] :
      ( cons(sk7,tl(X0)) = app(cons(sk7,nil),tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1362,f75]) ).

fof(f1493,plain,
    ! [X0,X1] :
      ( cons(sk7,app(X0,X1)) = app(cons(sk7,nil),app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f1362,f85]) ).

fof(f1492,plain,
    ! [X0,X1] :
      ( cons(sk7,cons(X0,X1)) = app(cons(sk7,nil),cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f1362,f86]) ).

fof(f1491,plain,
    ! [X0,X1] : cons(sk7,skaf42(X0,X1)) = app(cons(sk7,nil),skaf42(X0,X1)),
    inference(resolution,[],[f1362,f53]) ).

fof(f1490,plain,
    ! [X0,X1] : cons(sk7,skaf43(X0,X1)) = app(cons(sk7,nil),skaf43(X0,X1)),
    inference(resolution,[],[f1362,f52]) ).

fof(f1489,plain,
    ! [X0,X1] : cons(sk7,skaf45(X0,X1)) = app(cons(sk7,nil),skaf45(X0,X1)),
    inference(resolution,[],[f1362,f51]) ).

fof(f1488,plain,
    ! [X0,X1] : cons(sk7,skaf46(X0,X1)) = app(cons(sk7,nil),skaf46(X0,X1)),
    inference(resolution,[],[f1362,f50]) ).

fof(f1487,plain,
    ! [X0,X1] : cons(sk7,skaf47(X0,X1)) = app(cons(sk7,nil),skaf47(X0,X1)),
    inference(resolution,[],[f1362,f49]) ).

fof(f1486,plain,
    ! [X0,X1] : cons(sk7,skaf48(X0,X1)) = app(cons(sk7,nil),skaf48(X0,X1)),
    inference(resolution,[],[f1362,f48]) ).

fof(f1485,plain,
    ! [X0] : cons(sk7,skaf51(X0)) = app(cons(sk7,nil),skaf51(X0)),
    inference(resolution,[],[f1362,f44]) ).

fof(f1484,plain,
    ! [X0] : cons(sk7,skaf52(X0)) = app(cons(sk7,nil),skaf52(X0)),
    inference(resolution,[],[f1362,f43]) ).

fof(f1483,plain,
    ! [X0] : cons(sk7,skaf53(X0)) = app(cons(sk7,nil),skaf53(X0)),
    inference(resolution,[],[f1362,f42]) ).

fof(f1482,plain,
    ! [X0] : cons(sk7,skaf56(X0)) = app(cons(sk7,nil),skaf56(X0)),
    inference(resolution,[],[f1362,f39]) ).

fof(f1481,plain,
    ! [X0] : cons(sk7,skaf57(X0)) = app(cons(sk7,nil),skaf57(X0)),
    inference(resolution,[],[f1362,f38]) ).

fof(f1480,plain,
    ! [X0] : cons(sk7,skaf58(X0)) = app(cons(sk7,nil),skaf58(X0)),
    inference(resolution,[],[f1362,f37]) ).

fof(f1479,plain,
    ! [X0] : cons(sk7,skaf61(X0)) = app(cons(sk7,nil),skaf61(X0)),
    inference(resolution,[],[f1362,f34]) ).

fof(f1478,plain,
    ! [X0] : cons(sk7,skaf62(X0)) = app(cons(sk7,nil),skaf62(X0)),
    inference(resolution,[],[f1362,f33]) ).

fof(f1477,plain,
    ! [X0] : cons(sk7,skaf63(X0)) = app(cons(sk7,nil),skaf63(X0)),
    inference(resolution,[],[f1362,f32]) ).

fof(f1476,plain,
    ! [X0] : cons(sk7,skaf66(X0)) = app(cons(sk7,nil),skaf66(X0)),
    inference(resolution,[],[f1362,f29]) ).

fof(f1475,plain,
    ! [X0] : cons(sk7,skaf67(X0)) = app(cons(sk7,nil),skaf67(X0)),
    inference(resolution,[],[f1362,f28]) ).

fof(f1474,plain,
    ! [X0] : cons(sk7,skaf68(X0)) = app(cons(sk7,nil),skaf68(X0)),
    inference(resolution,[],[f1362,f27]) ).

fof(f1473,plain,
    ! [X0] : cons(sk7,skaf71(X0)) = app(cons(sk7,nil),skaf71(X0)),
    inference(resolution,[],[f1362,f24]) ).

fof(f1472,plain,
    ! [X0] : cons(sk7,skaf72(X0)) = app(cons(sk7,nil),skaf72(X0)),
    inference(resolution,[],[f1362,f23]) ).

fof(f1471,plain,
    ! [X0] : cons(sk7,skaf73(X0)) = app(cons(sk7,nil),skaf73(X0)),
    inference(resolution,[],[f1362,f22]) ).

fof(f1470,plain,
    ! [X0] : cons(sk7,skaf75(X0)) = app(cons(sk7,nil),skaf75(X0)),
    inference(resolution,[],[f1362,f20]) ).

fof(f1469,plain,
    ! [X0] : cons(sk7,skaf76(X0)) = app(cons(sk7,nil),skaf76(X0)),
    inference(resolution,[],[f1362,f19]) ).

fof(f1468,plain,
    ! [X0] : cons(sk7,skaf77(X0)) = app(cons(sk7,nil),skaf77(X0)),
    inference(resolution,[],[f1362,f18]) ).

fof(f1467,plain,
    ! [X0] : cons(sk7,skaf80(X0)) = app(cons(sk7,nil),skaf80(X0)),
    inference(resolution,[],[f1362,f15]) ).

fof(f1466,plain,
    ! [X0] : cons(sk7,skaf81(X0)) = app(cons(sk7,nil),skaf81(X0)),
    inference(resolution,[],[f1362,f14]) ).

fof(f1362,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sk7,X0) = app(cons(sk7,nil),X0) ),
    inference(resolution,[],[f120,f195]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | totalorderedP(X1)
      | nil = X1
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f944,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
    inference(resolution,[],[f578,f53]) ).

fof(f943,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
    inference(resolution,[],[f578,f52]) ).

fof(f942,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
    inference(resolution,[],[f578,f51]) ).

fof(f941,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
    inference(resolution,[],[f578,f50]) ).

fof(f940,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
    inference(resolution,[],[f578,f49]) ).

fof(f939,plain,
    ! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
    inference(resolution,[],[f578,f48]) ).

fof(f866,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
    inference(resolution,[],[f577,f53]) ).

fof(f865,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
    inference(resolution,[],[f577,f52]) ).

fof(f864,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
    inference(resolution,[],[f577,f51]) ).

fof(f863,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
    inference(resolution,[],[f577,f50]) ).

fof(f862,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
    inference(resolution,[],[f577,f49]) ).

fof(f124,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | strictorderedP(X1)
      | nil = X1
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f861,plain,
    ! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
    inference(resolution,[],[f577,f48]) ).

fof(f802,plain,
    ! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
    inference(resolution,[],[f504,f44]) ).

fof(f801,plain,
    ! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
    inference(resolution,[],[f504,f43]) ).

fof(f800,plain,
    ! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
    inference(resolution,[],[f504,f42]) ).

fof(f799,plain,
    ! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
    inference(resolution,[],[f504,f39]) ).

fof(f798,plain,
    ! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
    inference(resolution,[],[f504,f38]) ).

fof(f797,plain,
    ! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
    inference(resolution,[],[f504,f37]) ).

fof(f796,plain,
    ! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
    inference(resolution,[],[f504,f34]) ).

fof(f795,plain,
    ! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
    inference(resolution,[],[f504,f33]) ).

fof(f794,plain,
    ! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
    inference(resolution,[],[f504,f32]) ).

fof(f793,plain,
    ! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
    inference(resolution,[],[f504,f29]) ).

fof(f792,plain,
    ! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
    inference(resolution,[],[f504,f28]) ).

fof(f791,plain,
    ! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
    inference(resolution,[],[f504,f27]) ).

fof(f790,plain,
    ! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
    inference(resolution,[],[f504,f24]) ).

fof(f789,plain,
    ! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
    inference(resolution,[],[f504,f23]) ).

fof(f788,plain,
    ! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
    inference(resolution,[],[f504,f22]) ).

fof(f787,plain,
    ! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
    inference(resolution,[],[f504,f20]) ).

fof(f786,plain,
    ! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
    inference(resolution,[],[f504,f19]) ).

fof(f785,plain,
    ! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
    inference(resolution,[],[f504,f18]) ).

fof(f784,plain,
    ! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
    inference(resolution,[],[f504,f15]) ).

fof(f783,plain,
    ! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
    inference(resolution,[],[f504,f14]) ).

fof(f782,plain,
    ! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
    inference(resolution,[],[f504,f13]) ).

fof(f1399,plain,
    ! [X0] :
      ( ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1398,f35]) ).

fof(f1398,plain,
    ! [X0] :
      ( ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1390,f36]) ).

fof(f1390,plain,
    ! [X0] :
      ( ~ ssItem(skaf59(X0))
      | ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f93]) ).

fof(f1397,plain,
    ! [X0] :
      ( ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1396,f36]) ).

fof(f1396,plain,
    ! [X0] :
      ( ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1389,f35]) ).

fof(f1389,plain,
    ! [X0] :
      ( ~ ssItem(skaf60(X0))
      | ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f92]) ).

fof(f1395,plain,
    ! [X0] :
      ( ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1394,f25]) ).

fof(f1394,plain,
    ! [X0] :
      ( ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | ~ ssItem(skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1388,f26]) ).

fof(f1388,plain,
    ! [X0] :
      ( ~ ssItem(skaf69(X0))
      | ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | ~ ssItem(skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f90]) ).

fof(f1392,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ lt(X1,X0) ),
    inference(duplicate_literal_removal,[],[f1386]) ).

fof(f1386,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0) ),
    inference(resolution,[],[f121,f114]) ).

fof(f121,axiom,
    ! [X0,X1] :
      ( lt(X0,X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f751,plain,
    ! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
    inference(resolution,[],[f503,f44]) ).

fof(f750,plain,
    ! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
    inference(resolution,[],[f503,f43]) ).

fof(f749,plain,
    ! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
    inference(resolution,[],[f503,f42]) ).

fof(f748,plain,
    ! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
    inference(resolution,[],[f503,f39]) ).

fof(f747,plain,
    ! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
    inference(resolution,[],[f503,f38]) ).

fof(f746,plain,
    ! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
    inference(resolution,[],[f503,f37]) ).

fof(f745,plain,
    ! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
    inference(resolution,[],[f503,f34]) ).

fof(f744,plain,
    ! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
    inference(resolution,[],[f503,f33]) ).

fof(f743,plain,
    ! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
    inference(resolution,[],[f503,f32]) ).

fof(f742,plain,
    ! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
    inference(resolution,[],[f503,f29]) ).

fof(f741,plain,
    ! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
    inference(resolution,[],[f503,f28]) ).

fof(f1361,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f120,f76]) ).

fof(f1360,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
    inference(resolution,[],[f120,f47]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
    inference(resolution,[],[f120,f46]) ).

fof(f1358,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
    inference(resolution,[],[f120,f45]) ).

fof(f1357,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
    inference(resolution,[],[f120,f41]) ).

fof(f1356,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
    inference(resolution,[],[f120,f40]) ).

fof(f1355,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
    inference(resolution,[],[f120,f36]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
    inference(resolution,[],[f120,f35]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
    inference(resolution,[],[f120,f31]) ).

fof(f1352,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
    inference(resolution,[],[f120,f30]) ).

fof(f1351,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
    inference(resolution,[],[f120,f26]) ).

fof(f1350,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
    inference(resolution,[],[f120,f25]) ).

fof(f1349,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
    inference(resolution,[],[f120,f21]) ).

fof(f1348,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
    inference(resolution,[],[f120,f17]) ).

fof(f1347,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
    inference(resolution,[],[f120,f16]) ).

fof(f1346,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
    inference(resolution,[],[f120,f12]) ).

fof(f1345,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skac2,X0) = app(cons(skac2,nil),X0) ),
    inference(resolution,[],[f120,f10]) ).

fof(f1344,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skac3,X0) = app(cons(skac3,nil),X0) ),
    inference(resolution,[],[f120,f9]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f740,plain,
    ! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
    inference(resolution,[],[f503,f27]) ).

fof(f739,plain,
    ! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
    inference(resolution,[],[f503,f24]) ).

fof(f738,plain,
    ! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
    inference(resolution,[],[f503,f23]) ).

fof(f737,plain,
    ! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
    inference(resolution,[],[f503,f22]) ).

fof(f736,plain,
    ! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
    inference(resolution,[],[f503,f20]) ).

fof(f735,plain,
    ! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
    inference(resolution,[],[f503,f19]) ).

fof(f734,plain,
    ! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
    inference(resolution,[],[f503,f18]) ).

fof(f733,plain,
    ! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
    inference(resolution,[],[f503,f15]) ).

fof(f732,plain,
    ! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
    inference(resolution,[],[f503,f14]) ).

fof(f731,plain,
    ! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
    inference(resolution,[],[f503,f13]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1017,plain,
    ( nil = sk5
    | sk5 = cons(hd(sk5),tl(sk5)) ),
    inference(resolution,[],[f104,f192]) ).

fof(f1099,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f109,f75]) ).

fof(f1098,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f109,f85]) ).

fof(f1106,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f1097,f98]) ).

fof(f1097,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f109,f86]) ).

fof(f1096,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
    inference(resolution,[],[f109,f53]) ).

fof(f1095,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
    inference(resolution,[],[f109,f52]) ).

fof(f1094,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
    inference(resolution,[],[f109,f51]) ).

fof(f1093,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
    inference(resolution,[],[f109,f50]) ).

fof(f1092,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
    inference(resolution,[],[f109,f49]) ).

fof(f1091,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
    inference(resolution,[],[f109,f48]) ).

fof(f1090,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
    inference(resolution,[],[f109,f44]) ).

fof(f1089,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
    inference(resolution,[],[f109,f43]) ).

fof(f1088,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
    inference(resolution,[],[f109,f42]) ).

fof(f1087,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
    inference(resolution,[],[f109,f39]) ).

fof(f1086,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
    inference(resolution,[],[f109,f38]) ).

fof(f1085,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
    inference(resolution,[],[f109,f37]) ).

fof(f1084,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
    inference(resolution,[],[f109,f34]) ).

fof(f1083,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
    inference(resolution,[],[f109,f33]) ).

fof(f1082,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
    inference(resolution,[],[f109,f32]) ).

fof(f1081,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
    inference(resolution,[],[f109,f29]) ).

fof(f1080,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
    inference(resolution,[],[f109,f28]) ).

fof(f1079,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
    inference(resolution,[],[f109,f27]) ).

fof(f1078,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
    inference(resolution,[],[f109,f24]) ).

fof(f1077,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
    inference(resolution,[],[f109,f23]) ).

fof(f1076,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
    inference(resolution,[],[f109,f22]) ).

fof(f1075,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
    inference(resolution,[],[f109,f20]) ).

fof(f1074,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
    inference(resolution,[],[f109,f19]) ).

fof(f1073,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
    inference(resolution,[],[f109,f18]) ).

fof(f1072,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
    inference(resolution,[],[f109,f15]) ).

fof(f1071,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
    inference(resolution,[],[f109,f14]) ).

fof(f1070,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
    inference(resolution,[],[f109,f13]) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(skaf83(X0),skaf82(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f1014,plain,
    ( nil = sk2
    | sk2 = cons(hd(sk2),tl(sk2)) ),
    inference(resolution,[],[f104,f187]) ).

fof(f938,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
    inference(resolution,[],[f578,f44]) ).

fof(f937,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
    inference(resolution,[],[f578,f43]) ).

fof(f936,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
    inference(resolution,[],[f578,f42]) ).

fof(f1022,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f1021,f190]) ).

fof(f1021,plain,
    ( nil = sk2
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(forward_demodulation,[],[f1016,f190]) ).

fof(f1016,plain,
    ( nil = sk4
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(resolution,[],[f104,f189]) ).

fof(f1012,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f104,f75]) ).

fof(f1011,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f104,f85]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f1010,f98]) ).

fof(f1010,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f104,f86]) ).

fof(f1009,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
    inference(resolution,[],[f104,f53]) ).

fof(f1008,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
    inference(resolution,[],[f104,f52]) ).

fof(f1007,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
    inference(resolution,[],[f104,f51]) ).

fof(f1006,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
    inference(resolution,[],[f104,f50]) ).

fof(f1005,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
    inference(resolution,[],[f104,f49]) ).

fof(f1004,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
    inference(resolution,[],[f104,f48]) ).

fof(f1003,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
    inference(resolution,[],[f104,f44]) ).

fof(f1002,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
    inference(resolution,[],[f104,f43]) ).

fof(f1001,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
    inference(resolution,[],[f104,f42]) ).

fof(f1000,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
    inference(resolution,[],[f104,f39]) ).

fof(f999,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
    inference(resolution,[],[f104,f38]) ).

fof(f998,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
    inference(resolution,[],[f104,f37]) ).

fof(f997,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
    inference(resolution,[],[f104,f34]) ).

fof(f996,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
    inference(resolution,[],[f104,f33]) ).

fof(f995,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
    inference(resolution,[],[f104,f32]) ).

fof(f994,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
    inference(resolution,[],[f104,f29]) ).

fof(f993,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
    inference(resolution,[],[f104,f28]) ).

fof(f992,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
    inference(resolution,[],[f104,f27]) ).

fof(f991,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
    inference(resolution,[],[f104,f24]) ).

fof(f990,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
    inference(resolution,[],[f104,f23]) ).

fof(f989,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
    inference(resolution,[],[f104,f22]) ).

fof(f988,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
    inference(resolution,[],[f104,f20]) ).

fof(f987,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
    inference(resolution,[],[f104,f19]) ).

fof(f986,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
    inference(resolution,[],[f104,f18]) ).

fof(f985,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
    inference(resolution,[],[f104,f15]) ).

fof(f984,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
    inference(resolution,[],[f104,f14]) ).

fof(f983,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
    inference(resolution,[],[f104,f13]) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f935,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
    inference(resolution,[],[f578,f39]) ).

fof(f934,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
    inference(resolution,[],[f578,f38]) ).

fof(f933,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
    inference(resolution,[],[f578,f37]) ).

fof(f932,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
    inference(resolution,[],[f578,f34]) ).

fof(f931,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
    inference(resolution,[],[f578,f33]) ).

fof(f930,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
    inference(resolution,[],[f578,f32]) ).

fof(f929,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
    inference(resolution,[],[f578,f29]) ).

fof(f928,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
    inference(resolution,[],[f578,f28]) ).

fof(f927,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
    inference(resolution,[],[f578,f27]) ).

fof(f926,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
    inference(resolution,[],[f578,f24]) ).

fof(f925,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
    inference(resolution,[],[f578,f23]) ).

fof(f970,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f969]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(resolution,[],[f203,f101]) ).

fof(f203,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f924,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
    inference(resolution,[],[f578,f22]) ).

fof(f923,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
    inference(resolution,[],[f578,f20]) ).

fof(f922,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
    inference(resolution,[],[f578,f19]) ).

fof(f921,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
    inference(resolution,[],[f578,f18]) ).

fof(f920,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
    inference(resolution,[],[f578,f15]) ).

fof(f919,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
    inference(resolution,[],[f578,f14]) ).

fof(f918,plain,
    ! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
    inference(resolution,[],[f578,f13]) ).

fof(f954,plain,
    skac2 = hd(cons(skac2,nil)),
    inference(forward_demodulation,[],[f948,f645]) ).

fof(f948,plain,
    skac2 = hd(cons(skac2,sk1)),
    inference(resolution,[],[f578,f186]) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f953,plain,
    skac2 = hd(cons(skac2,sk6)),
    inference(resolution,[],[f578,f193]) ).

fof(f952,plain,
    skac2 = hd(cons(skac2,sk5)),
    inference(resolution,[],[f578,f192]) ).

fof(f949,plain,
    skac2 = hd(cons(skac2,sk2)),
    inference(resolution,[],[f578,f187]) ).

fof(f957,plain,
    skac2 = hd(cons(skac2,sk2)),
    inference(forward_demodulation,[],[f951,f190]) ).

fof(f951,plain,
    skac2 = hd(cons(skac2,sk4)),
    inference(resolution,[],[f578,f189]) ).

fof(f956,plain,
    skac2 = hd(cons(skac2,nil)),
    inference(forward_demodulation,[],[f955,f645]) ).

fof(f955,plain,
    skac2 = hd(cons(skac2,sk1)),
    inference(forward_demodulation,[],[f950,f191]) ).

fof(f950,plain,
    skac2 = hd(cons(skac2,sk3)),
    inference(resolution,[],[f578,f188]) ).

fof(f947,plain,
    ! [X0] :
      ( skac2 = hd(cons(skac2,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f578,f75]) ).

fof(f946,plain,
    ! [X0,X1] :
      ( skac2 = hd(cons(skac2,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f578,f85]) ).

fof(f945,plain,
    ! [X0,X1] :
      ( skac2 = hd(cons(skac2,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f578,f86]) ).

fof(f917,plain,
    skac2 = hd(cons(skac2,nil)),
    inference(resolution,[],[f578,f8]) ).

fof(f578,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac2 = hd(cons(skac2,X0)) ),
    inference(resolution,[],[f97,f10]) ).

fof(f860,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
    inference(resolution,[],[f577,f44]) ).

fof(f859,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
    inference(resolution,[],[f577,f43]) ).

fof(f858,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
    inference(resolution,[],[f577,f42]) ).

fof(f857,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
    inference(resolution,[],[f577,f39]) ).

fof(f856,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
    inference(resolution,[],[f577,f38]) ).

fof(f855,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
    inference(resolution,[],[f577,f37]) ).

fof(f854,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
    inference(resolution,[],[f577,f34]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ lt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f908]) ).

fof(f908,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f110,f106]) ).

fof(f110,axiom,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f853,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
    inference(resolution,[],[f577,f33]) ).

fof(f852,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
    inference(resolution,[],[f577,f32]) ).

fof(f851,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
    inference(resolution,[],[f577,f29]) ).

fof(f850,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
    inference(resolution,[],[f577,f28]) ).

fof(f849,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
    inference(resolution,[],[f577,f27]) ).

fof(f848,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
    inference(resolution,[],[f577,f24]) ).

fof(f847,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
    inference(resolution,[],[f577,f23]) ).

fof(f846,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
    inference(resolution,[],[f577,f22]) ).

fof(f845,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
    inference(resolution,[],[f577,f20]) ).

fof(f844,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
    inference(resolution,[],[f577,f19]) ).

fof(f843,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
    inference(resolution,[],[f577,f18]) ).

fof(f896,plain,
    ! [X0] :
      ( geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f895,f46]) ).

fof(f895,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f890,f45]) ).

fof(f890,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f108,f88]) ).

fof(f894,plain,
    ! [X0] :
      ( geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f893,f45]) ).

fof(f893,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f889,f46]) ).

fof(f889,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | ~ ssItem(skaf50(X0))
      | geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f108,f87]) ).

fof(f108,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | geq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f842,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
    inference(resolution,[],[f577,f15]) ).

fof(f841,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
    inference(resolution,[],[f577,f14]) ).

fof(f840,plain,
    ! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
    inference(resolution,[],[f577,f13]) ).

fof(f876,plain,
    skac3 = hd(cons(skac3,nil)),
    inference(forward_demodulation,[],[f870,f645]) ).

fof(f870,plain,
    skac3 = hd(cons(skac3,sk1)),
    inference(resolution,[],[f577,f186]) ).

fof(f875,plain,
    skac3 = hd(cons(skac3,sk6)),
    inference(resolution,[],[f577,f193]) ).

fof(f874,plain,
    skac3 = hd(cons(skac3,sk5)),
    inference(resolution,[],[f577,f192]) ).

fof(f871,plain,
    skac3 = hd(cons(skac3,sk2)),
    inference(resolution,[],[f577,f187]) ).

fof(f879,plain,
    skac3 = hd(cons(skac3,sk2)),
    inference(forward_demodulation,[],[f873,f190]) ).

fof(f873,plain,
    skac3 = hd(cons(skac3,sk4)),
    inference(resolution,[],[f577,f189]) ).

fof(f878,plain,
    skac3 = hd(cons(skac3,nil)),
    inference(forward_demodulation,[],[f877,f645]) ).

fof(f877,plain,
    skac3 = hd(cons(skac3,sk1)),
    inference(forward_demodulation,[],[f872,f191]) ).

fof(f872,plain,
    skac3 = hd(cons(skac3,sk3)),
    inference(resolution,[],[f577,f188]) ).

fof(f869,plain,
    ! [X0] :
      ( skac3 = hd(cons(skac3,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f577,f75]) ).

fof(f868,plain,
    ! [X0,X1] :
      ( skac3 = hd(cons(skac3,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f577,f85]) ).

fof(f867,plain,
    ! [X0,X1] :
      ( skac3 = hd(cons(skac3,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f577,f86]) ).

fof(f839,plain,
    skac3 = hd(cons(skac3,nil)),
    inference(resolution,[],[f577,f8]) ).

fof(f577,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac3 = hd(cons(skac3,X0)) ),
    inference(resolution,[],[f97,f9]) ).

fof(f838,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f837,f41]) ).

fof(f837,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f832,f40]) ).

fof(f832,plain,
    ! [X0] :
      ( ~ ssItem(skaf55(X0))
      | ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f95]) ).

fof(f836,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f835,f40]) ).

fof(f835,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f831,f41]) ).

fof(f831,plain,
    ! [X0] :
      ( ~ ssItem(skaf54(X0))
      | ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f94]) ).

fof(f834,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f833,f31]) ).

fof(f833,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | ~ ssItem(skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f830,f30]) ).

fof(f830,plain,
    ! [X0] :
      ( ~ ssItem(skaf65(X0))
      | ~ geq(skaf65(X0),skaf64(X0))
      | ~ ssItem(skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f91]) ).

fof(f107,axiom,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ ssItem(X0)
      | ~ geq(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f818,plain,
    nil = tl(cons(skac2,nil)),
    inference(forward_demodulation,[],[f812,f645]) ).

fof(f812,plain,
    sk1 = tl(cons(skac2,sk1)),
    inference(resolution,[],[f504,f186]) ).

fof(f817,plain,
    sk6 = tl(cons(skac2,sk6)),
    inference(resolution,[],[f504,f193]) ).

fof(f816,plain,
    sk5 = tl(cons(skac2,sk5)),
    inference(resolution,[],[f504,f192]) ).

fof(f813,plain,
    sk2 = tl(cons(skac2,sk2)),
    inference(resolution,[],[f504,f187]) ).

fof(f821,plain,
    sk2 = tl(cons(skac2,sk2)),
    inference(forward_demodulation,[],[f815,f190]) ).

fof(f815,plain,
    sk4 = tl(cons(skac2,sk4)),
    inference(resolution,[],[f504,f189]) ).

fof(f820,plain,
    nil = tl(cons(skac2,nil)),
    inference(forward_demodulation,[],[f819,f645]) ).

fof(f819,plain,
    sk1 = tl(cons(skac2,sk1)),
    inference(forward_demodulation,[],[f814,f191]) ).

fof(f814,plain,
    sk3 = tl(cons(skac2,sk3)),
    inference(resolution,[],[f504,f188]) ).

fof(f811,plain,
    ! [X0] :
      ( tl(X0) = tl(cons(skac2,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f504,f75]) ).

fof(f810,plain,
    ! [X0,X1] :
      ( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f504,f85]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f504,f86]) ).

fof(f808,plain,
    ! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
    inference(resolution,[],[f504,f53]) ).

fof(f807,plain,
    ! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
    inference(resolution,[],[f504,f52]) ).

fof(f806,plain,
    ! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
    inference(resolution,[],[f504,f51]) ).

fof(f805,plain,
    ! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
    inference(resolution,[],[f504,f50]) ).

fof(f804,plain,
    ! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
    inference(resolution,[],[f504,f49]) ).

fof(f803,plain,
    ! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
    inference(resolution,[],[f504,f48]) ).

fof(f781,plain,
    nil = tl(cons(skac2,nil)),
    inference(resolution,[],[f504,f8]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac2,X0)) = X0 ),
    inference(resolution,[],[f96,f10]) ).

fof(f106,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f767,plain,
    nil = tl(cons(skac3,nil)),
    inference(forward_demodulation,[],[f761,f645]) ).

fof(f761,plain,
    sk1 = tl(cons(skac3,sk1)),
    inference(resolution,[],[f503,f186]) ).

fof(f766,plain,
    sk6 = tl(cons(skac3,sk6)),
    inference(resolution,[],[f503,f193]) ).

fof(f765,plain,
    sk5 = tl(cons(skac3,sk5)),
    inference(resolution,[],[f503,f192]) ).

fof(f762,plain,
    sk2 = tl(cons(skac3,sk2)),
    inference(resolution,[],[f503,f187]) ).

fof(f770,plain,
    sk2 = tl(cons(skac3,sk2)),
    inference(forward_demodulation,[],[f764,f190]) ).

fof(f764,plain,
    sk4 = tl(cons(skac3,sk4)),
    inference(resolution,[],[f503,f189]) ).

fof(f769,plain,
    nil = tl(cons(skac3,nil)),
    inference(forward_demodulation,[],[f768,f645]) ).

fof(f768,plain,
    sk1 = tl(cons(skac3,sk1)),
    inference(forward_demodulation,[],[f763,f191]) ).

fof(f763,plain,
    sk3 = tl(cons(skac3,sk3)),
    inference(resolution,[],[f503,f188]) ).

fof(f760,plain,
    ! [X0] :
      ( tl(X0) = tl(cons(skac3,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f503,f75]) ).

fof(f759,plain,
    ! [X0,X1] :
      ( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f503,f85]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f503,f86]) ).

fof(f757,plain,
    ! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
    inference(resolution,[],[f503,f53]) ).

fof(f756,plain,
    ! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
    inference(resolution,[],[f503,f52]) ).

fof(f755,plain,
    ! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
    inference(resolution,[],[f503,f51]) ).

fof(f754,plain,
    ! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
    inference(resolution,[],[f503,f50]) ).

fof(f753,plain,
    ! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
    inference(resolution,[],[f503,f49]) ).

fof(f752,plain,
    ! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
    inference(resolution,[],[f503,f48]) ).

fof(f730,plain,
    nil = tl(cons(skac3,nil)),
    inference(resolution,[],[f503,f8]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac3,X0)) = X0 ),
    inference(resolution,[],[f96,f9]) ).

fof(f549,plain,
    ! [X0,X1] : skaf42(X0,X1) = tl(cons(sk7,skaf42(X0,X1))),
    inference(resolution,[],[f521,f53]) ).

fof(f548,plain,
    ! [X0,X1] : skaf43(X0,X1) = tl(cons(sk7,skaf43(X0,X1))),
    inference(resolution,[],[f521,f52]) ).

fof(f547,plain,
    ! [X0,X1] : skaf45(X0,X1) = tl(cons(sk7,skaf45(X0,X1))),
    inference(resolution,[],[f521,f51]) ).

fof(f546,plain,
    ! [X0,X1] : skaf46(X0,X1) = tl(cons(sk7,skaf46(X0,X1))),
    inference(resolution,[],[f521,f50]) ).

fof(f545,plain,
    ! [X0,X1] : skaf47(X0,X1) = tl(cons(sk7,skaf47(X0,X1))),
    inference(resolution,[],[f521,f49]) ).

fof(f544,plain,
    ! [X0,X1] : skaf48(X0,X1) = tl(cons(sk7,skaf48(X0,X1))),
    inference(resolution,[],[f521,f48]) ).

fof(f105,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | lt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f623,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf42(X0,X1))),
    inference(resolution,[],[f595,f53]) ).

fof(f622,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf43(X0,X1))),
    inference(resolution,[],[f595,f52]) ).

fof(f621,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf45(X0,X1))),
    inference(resolution,[],[f595,f51]) ).

fof(f620,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf46(X0,X1))),
    inference(resolution,[],[f595,f50]) ).

fof(f619,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf47(X0,X1))),
    inference(resolution,[],[f595,f49]) ).

fof(f618,plain,
    ! [X0,X1] : sk7 = hd(cons(sk7,skaf48(X0,X1))),
    inference(resolution,[],[f595,f48]) ).

fof(f543,plain,
    ! [X0] : skaf51(X0) = tl(cons(sk7,skaf51(X0))),
    inference(resolution,[],[f521,f44]) ).

fof(f542,plain,
    ! [X0] : skaf52(X0) = tl(cons(sk7,skaf52(X0))),
    inference(resolution,[],[f521,f43]) ).

fof(f541,plain,
    ! [X0] : skaf53(X0) = tl(cons(sk7,skaf53(X0))),
    inference(resolution,[],[f521,f42]) ).

fof(f540,plain,
    ! [X0] : skaf56(X0) = tl(cons(sk7,skaf56(X0))),
    inference(resolution,[],[f521,f39]) ).

fof(f539,plain,
    ! [X0] : skaf57(X0) = tl(cons(sk7,skaf57(X0))),
    inference(resolution,[],[f521,f38]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f538,plain,
    ! [X0] : skaf58(X0) = tl(cons(sk7,skaf58(X0))),
    inference(resolution,[],[f521,f37]) ).

fof(f537,plain,
    ! [X0] : skaf61(X0) = tl(cons(sk7,skaf61(X0))),
    inference(resolution,[],[f521,f34]) ).

fof(f536,plain,
    ! [X0] : skaf62(X0) = tl(cons(sk7,skaf62(X0))),
    inference(resolution,[],[f521,f33]) ).

fof(f535,plain,
    ! [X0] : skaf63(X0) = tl(cons(sk7,skaf63(X0))),
    inference(resolution,[],[f521,f32]) ).

fof(f534,plain,
    ! [X0] : skaf66(X0) = tl(cons(sk7,skaf66(X0))),
    inference(resolution,[],[f521,f29]) ).

fof(f533,plain,
    ! [X0] : skaf67(X0) = tl(cons(sk7,skaf67(X0))),
    inference(resolution,[],[f521,f28]) ).

fof(f532,plain,
    ! [X0] : skaf68(X0) = tl(cons(sk7,skaf68(X0))),
    inference(resolution,[],[f521,f27]) ).

fof(f531,plain,
    ! [X0] : skaf71(X0) = tl(cons(sk7,skaf71(X0))),
    inference(resolution,[],[f521,f24]) ).

fof(f530,plain,
    ! [X0] : skaf72(X0) = tl(cons(sk7,skaf72(X0))),
    inference(resolution,[],[f521,f23]) ).

fof(f529,plain,
    ! [X0] : skaf73(X0) = tl(cons(sk7,skaf73(X0))),
    inference(resolution,[],[f521,f22]) ).

fof(f528,plain,
    ! [X0] : skaf75(X0) = tl(cons(sk7,skaf75(X0))),
    inference(resolution,[],[f521,f20]) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f527,plain,
    ! [X0] : skaf76(X0) = tl(cons(sk7,skaf76(X0))),
    inference(resolution,[],[f521,f19]) ).

fof(f526,plain,
    ! [X0] : skaf77(X0) = tl(cons(sk7,skaf77(X0))),
    inference(resolution,[],[f521,f18]) ).

fof(f617,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf51(X0))),
    inference(resolution,[],[f595,f44]) ).

fof(f616,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf52(X0))),
    inference(resolution,[],[f595,f43]) ).

fof(f615,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf53(X0))),
    inference(resolution,[],[f595,f42]) ).

fof(f614,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf56(X0))),
    inference(resolution,[],[f595,f39]) ).

fof(f613,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf57(X0))),
    inference(resolution,[],[f595,f38]) ).

fof(f612,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf58(X0))),
    inference(resolution,[],[f595,f37]) ).

fof(f611,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf61(X0))),
    inference(resolution,[],[f595,f34]) ).

fof(f610,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf62(X0))),
    inference(resolution,[],[f595,f33]) ).

fof(f609,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf63(X0))),
    inference(resolution,[],[f595,f32]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f608,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf66(X0))),
    inference(resolution,[],[f595,f29]) ).

fof(f607,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf67(X0))),
    inference(resolution,[],[f595,f28]) ).

fof(f606,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf68(X0))),
    inference(resolution,[],[f595,f27]) ).

fof(f605,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf71(X0))),
    inference(resolution,[],[f595,f24]) ).

fof(f604,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf72(X0))),
    inference(resolution,[],[f595,f23]) ).

fof(f603,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf73(X0))),
    inference(resolution,[],[f595,f22]) ).

fof(f602,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf75(X0))),
    inference(resolution,[],[f595,f20]) ).

fof(f601,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf76(X0))),
    inference(resolution,[],[f595,f19]) ).

fof(f600,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf77(X0))),
    inference(resolution,[],[f595,f18]) ).

fof(f647,plain,
    ~ neq(nil,nil),
    inference(superposition,[],[f197,f645]) ).

fof(f645,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f644,f186]) ).

fof(f644,plain,
    ( nil = sk1
    | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f643,f8]) ).

fof(f643,plain,
    ( ~ ssList(nil)
    | nil = sk1
    | ~ ssList(sk1) ),
    inference(resolution,[],[f100,f197]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f599,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf80(X0))),
    inference(resolution,[],[f595,f15]) ).

fof(f598,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf81(X0))),
    inference(resolution,[],[f595,f14]) ).

fof(f597,plain,
    ! [X0] : sk7 = hd(cons(sk7,skaf82(X0))),
    inference(resolution,[],[f595,f13]) ).

fof(f632,plain,
    sk7 = hd(cons(sk7,sk6)),
    inference(resolution,[],[f595,f193]) ).

fof(f631,plain,
    sk7 = hd(cons(sk7,sk5)),
    inference(resolution,[],[f595,f192]) ).

fof(f628,plain,
    sk7 = hd(cons(sk7,sk2)),
    inference(resolution,[],[f595,f187]) ).

fof(f627,plain,
    sk7 = hd(cons(sk7,sk1)),
    inference(resolution,[],[f595,f186]) ).

fof(f596,plain,
    sk7 = hd(cons(sk7,nil)),
    inference(resolution,[],[f595,f8]) ).

fof(f634,plain,
    sk7 = hd(cons(sk7,sk2)),
    inference(forward_demodulation,[],[f630,f190]) ).

fof(f630,plain,
    sk7 = hd(cons(sk7,sk4)),
    inference(resolution,[],[f595,f189]) ).

fof(f633,plain,
    sk7 = hd(cons(sk7,sk1)),
    inference(forward_demodulation,[],[f629,f191]) ).

fof(f629,plain,
    sk7 = hd(cons(sk7,sk3)),
    inference(resolution,[],[f595,f188]) ).

fof(f626,plain,
    ! [X0] :
      ( sk7 = hd(cons(sk7,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f595,f75]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( sk7 = hd(cons(sk7,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f595,f85]) ).

fof(f624,plain,
    ! [X0,X1] :
      ( sk7 = hd(cons(sk7,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f595,f86]) ).

fof(f595,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk7 = hd(cons(sk7,X0)) ),
    inference(resolution,[],[f97,f195]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | hd(X1) = hd(cons(hd(X1),X0))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f97,f76]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
    inference(resolution,[],[f97,f47]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
    inference(resolution,[],[f97,f46]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
    inference(resolution,[],[f97,f45]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
    inference(resolution,[],[f97,f41]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
    inference(resolution,[],[f97,f40]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
    inference(resolution,[],[f97,f36]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
    inference(resolution,[],[f97,f35]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
    inference(resolution,[],[f97,f31]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
    inference(resolution,[],[f97,f30]) ).

fof(f584,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
    inference(resolution,[],[f97,f26]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
    inference(resolution,[],[f97,f25]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
    inference(resolution,[],[f97,f21]) ).

fof(f581,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
    inference(resolution,[],[f97,f17]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
    inference(resolution,[],[f97,f16]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
    inference(resolution,[],[f97,f12]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | hd(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f525,plain,
    ! [X0] : skaf80(X0) = tl(cons(sk7,skaf80(X0))),
    inference(resolution,[],[f521,f15]) ).

fof(f524,plain,
    ! [X0] : skaf81(X0) = tl(cons(sk7,skaf81(X0))),
    inference(resolution,[],[f521,f14]) ).

fof(f523,plain,
    ! [X0] : skaf82(X0) = tl(cons(sk7,skaf82(X0))),
    inference(resolution,[],[f521,f13]) ).

fof(f558,plain,
    sk6 = tl(cons(sk7,sk6)),
    inference(resolution,[],[f521,f193]) ).

fof(f557,plain,
    sk5 = tl(cons(sk7,sk5)),
    inference(resolution,[],[f521,f192]) ).

fof(f554,plain,
    sk2 = tl(cons(sk7,sk2)),
    inference(resolution,[],[f521,f187]) ).

fof(f553,plain,
    sk1 = tl(cons(sk7,sk1)),
    inference(resolution,[],[f521,f186]) ).

fof(f522,plain,
    nil = tl(cons(sk7,nil)),
    inference(resolution,[],[f521,f8]) ).

fof(f560,plain,
    sk2 = tl(cons(sk7,sk2)),
    inference(forward_demodulation,[],[f556,f190]) ).

fof(f556,plain,
    sk4 = tl(cons(sk7,sk4)),
    inference(resolution,[],[f521,f189]) ).

fof(f559,plain,
    sk1 = tl(cons(sk7,sk1)),
    inference(forward_demodulation,[],[f555,f191]) ).

fof(f555,plain,
    sk3 = tl(cons(sk7,sk3)),
    inference(resolution,[],[f521,f188]) ).

fof(f552,plain,
    ! [X0] :
      ( tl(X0) = tl(cons(sk7,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f521,f75]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( app(X0,X1) = tl(cons(sk7,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f521,f85]) ).

fof(f550,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = tl(cons(sk7,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f521,f86]) ).

fof(f521,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(sk7,X0)) = X0 ),
    inference(resolution,[],[f96,f195]) ).

fof(f520,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(hd(X1),X0)) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f96,f76]) ).

fof(f519,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf44(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f47]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf49(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f46]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf50(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f45]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf54(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f41]) ).

fof(f515,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf55(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f40]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf59(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f36]) ).

fof(f513,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf60(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f35]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf64(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f31]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf65(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f30]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf69(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f26]) ).

fof(f509,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf70(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f25]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf74(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f21]) ).

fof(f507,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf78(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f17]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf79(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f16]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf83(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f12]) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f340,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
    inference(resolution,[],[f74,f51]) ).

fof(f339,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
    inference(resolution,[],[f74,f50]) ).

fof(f338,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
    inference(resolution,[],[f74,f49]) ).

fof(f337,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
    inference(resolution,[],[f74,f48]) ).

fof(f306,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
    inference(resolution,[],[f73,f53]) ).

fof(f305,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
    inference(resolution,[],[f73,f52]) ).

fof(f304,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
    inference(resolution,[],[f73,f51]) ).

fof(f303,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
    inference(resolution,[],[f73,f50]) ).

fof(f302,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
    inference(resolution,[],[f73,f49]) ).

fof(f301,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
    inference(resolution,[],[f73,f48]) ).

fof(f224,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1
      | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f95,axiom,
    ! [X0] :
      ( ~ leq(skaf54(X0),skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f94,axiom,
    ! [X0] :
      ( ~ leq(skaf55(X0),skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f93,axiom,
    ! [X0] :
      ( ~ lt(skaf59(X0),skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f92,axiom,
    ! [X0] :
      ( ~ lt(skaf60(X0),skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f91,axiom,
    ! [X0] :
      ( ~ leq(skaf64(X0),skaf65(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f90,axiom,
    ! [X0] :
      ( ~ lt(skaf69(X0),skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f89,axiom,
    ! [X0] :
      ( skaf79(X0) != skaf78(X0)
      | equalelemsP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f88,axiom,
    ! [X0] :
      ( leq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f87,axiom,
    ! [X0] :
      ( leq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f427,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,X0),nil) ),
    inference(resolution,[],[f86,f73]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(nil,cons(X1,X0)) ),
    inference(resolution,[],[f86,f74]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(app(X0,X1),nil) ),
    inference(resolution,[],[f85,f73]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(resolution,[],[f85,f74]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f336,plain,
    ! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
    inference(resolution,[],[f74,f44]) ).

fof(f335,plain,
    ! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
    inference(resolution,[],[f74,f43]) ).

fof(f334,plain,
    ! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
    inference(resolution,[],[f74,f42]) ).

fof(f333,plain,
    ! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
    inference(resolution,[],[f74,f39]) ).

fof(f332,plain,
    ! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
    inference(resolution,[],[f74,f38]) ).

fof(f331,plain,
    ! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
    inference(resolution,[],[f74,f37]) ).

fof(f330,plain,
    ! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
    inference(resolution,[],[f74,f34]) ).

fof(f329,plain,
    ! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
    inference(resolution,[],[f74,f33]) ).

fof(f328,plain,
    ! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
    inference(resolution,[],[f74,f32]) ).

fof(f327,plain,
    ! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
    inference(resolution,[],[f74,f29]) ).

fof(f326,plain,
    ! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
    inference(resolution,[],[f74,f28]) ).

fof(f325,plain,
    ! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
    inference(resolution,[],[f74,f27]) ).

fof(f324,plain,
    ! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
    inference(resolution,[],[f74,f24]) ).

fof(f323,plain,
    ! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
    inference(resolution,[],[f74,f23]) ).

fof(f322,plain,
    ! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
    inference(resolution,[],[f74,f22]) ).

fof(f321,plain,
    ! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
    inference(resolution,[],[f74,f20]) ).

fof(f320,plain,
    ! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
    inference(resolution,[],[f74,f19]) ).

fof(f319,plain,
    ! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
    inference(resolution,[],[f74,f18]) ).

fof(f318,plain,
    ! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
    inference(resolution,[],[f74,f15]) ).

fof(f317,plain,
    ! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
    inference(resolution,[],[f74,f14]) ).

fof(f316,plain,
    ! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
    inference(resolution,[],[f74,f13]) ).

fof(f300,plain,
    ! [X0] : skaf51(X0) = app(skaf51(X0),nil),
    inference(resolution,[],[f73,f44]) ).

fof(f299,plain,
    ! [X0] : skaf52(X0) = app(skaf52(X0),nil),
    inference(resolution,[],[f73,f43]) ).

fof(f298,plain,
    ! [X0] : skaf53(X0) = app(skaf53(X0),nil),
    inference(resolution,[],[f73,f42]) ).

fof(f297,plain,
    ! [X0] : skaf56(X0) = app(skaf56(X0),nil),
    inference(resolution,[],[f73,f39]) ).

fof(f296,plain,
    ! [X0] : skaf57(X0) = app(skaf57(X0),nil),
    inference(resolution,[],[f73,f38]) ).

fof(f295,plain,
    ! [X0] : skaf58(X0) = app(skaf58(X0),nil),
    inference(resolution,[],[f73,f37]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f294,plain,
    ! [X0] : skaf61(X0) = app(skaf61(X0),nil),
    inference(resolution,[],[f73,f34]) ).

fof(f293,plain,
    ! [X0] : skaf62(X0) = app(skaf62(X0),nil),
    inference(resolution,[],[f73,f33]) ).

fof(f292,plain,
    ! [X0] : skaf63(X0) = app(skaf63(X0),nil),
    inference(resolution,[],[f73,f32]) ).

fof(f291,plain,
    ! [X0] : skaf66(X0) = app(skaf66(X0),nil),
    inference(resolution,[],[f73,f29]) ).

fof(f290,plain,
    ! [X0] : skaf67(X0) = app(skaf67(X0),nil),
    inference(resolution,[],[f73,f28]) ).

fof(f289,plain,
    ! [X0] : skaf68(X0) = app(skaf68(X0),nil),
    inference(resolution,[],[f73,f27]) ).

fof(f288,plain,
    ! [X0] : skaf71(X0) = app(skaf71(X0),nil),
    inference(resolution,[],[f73,f24]) ).

fof(f287,plain,
    ! [X0] : skaf72(X0) = app(skaf72(X0),nil),
    inference(resolution,[],[f73,f23]) ).

fof(f286,plain,
    ! [X0] : skaf73(X0) = app(skaf73(X0),nil),
    inference(resolution,[],[f73,f22]) ).

fof(f285,plain,
    ! [X0] : skaf75(X0) = app(skaf75(X0),nil),
    inference(resolution,[],[f73,f20]) ).

fof(f284,plain,
    ! [X0] : skaf76(X0) = app(skaf76(X0),nil),
    inference(resolution,[],[f73,f19]) ).

fof(f352,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f75,f73]) ).

fof(f351,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(nil,tl(X0)) ),
    inference(resolution,[],[f75,f74]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f283,plain,
    ! [X0] : skaf77(X0) = app(skaf77(X0),nil),
    inference(resolution,[],[f73,f18]) ).

fof(f282,plain,
    ! [X0] : skaf80(X0) = app(skaf80(X0),nil),
    inference(resolution,[],[f73,f15]) ).

fof(f281,plain,
    ! [X0] : skaf81(X0) = app(skaf81(X0),nil),
    inference(resolution,[],[f73,f14]) ).

fof(f280,plain,
    ! [X0] : skaf82(X0) = app(skaf82(X0),nil),
    inference(resolution,[],[f73,f13]) ).

fof(f348,plain,
    sk6 = app(nil,sk6),
    inference(resolution,[],[f74,f193]) ).

fof(f347,plain,
    sk5 = app(nil,sk5),
    inference(resolution,[],[f74,f192]) ).

fof(f344,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[],[f74,f187]) ).

fof(f343,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f186]) ).

fof(f350,plain,
    sk2 = app(nil,sk2),
    inference(forward_demodulation,[],[f346,f190]) ).

fof(f346,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f189]) ).

fof(f349,plain,
    sk1 = app(nil,sk1),
    inference(forward_demodulation,[],[f345,f191]) ).

fof(f345,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

fof(f342,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
    inference(resolution,[],[f74,f53]) ).

fof(f341,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
    inference(resolution,[],[f74,f52]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f312,plain,
    sk6 = app(sk6,nil),
    inference(resolution,[],[f73,f193]) ).

fof(f311,plain,
    sk5 = app(sk5,nil),
    inference(resolution,[],[f73,f192]) ).

fof(f308,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f307,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f314,plain,
    sk2 = app(sk2,nil),
    inference(forward_demodulation,[],[f310,f190]) ).

fof(f310,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f189]) ).

fof(f313,plain,
    sk1 = app(sk1,nil),
    inference(forward_demodulation,[],[f309,f191]) ).

fof(f309,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f188]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f278,plain,
    sk1 = app(app(sk5,cons(sk7,nil)),sk6),
    inference(forward_demodulation,[],[f196,f191]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f70,axiom,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f69,axiom,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f68,axiom,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f65,axiom,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f231,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f229,f205,f230,f169,f149,f131,f168,f132,f100,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f63,axiom,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f62,axiom,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f60,axiom,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f58,axiom,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f55,axiom,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f49,axiom,
    ! [X0,X1] : ssList(skaf47(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f48,axiom,
    ! [X0,X1] : ssList(skaf48(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f234,plain,
    sk2 = app(sk5,sk6),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f228,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200]) ).

fof(f227,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199]) ).

fof(f226,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198]) ).

fof(f54,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f46,axiom,
    ! [X0] : ssItem(skaf49(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f45,axiom,
    ! [X0] : ssItem(skaf50(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f44,axiom,
    ! [X0] : ssList(skaf51(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f43,axiom,
    ! [X0] : ssList(skaf52(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f42,axiom,
    ! [X0] : ssList(skaf53(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f41,axiom,
    ! [X0] : ssItem(skaf54(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f40,axiom,
    ! [X0] : ssItem(skaf55(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f39,axiom,
    ! [X0] : ssList(skaf56(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f38,axiom,
    ! [X0] : ssList(skaf57(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f37,axiom,
    ! [X0] : ssList(skaf58(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f36,axiom,
    ! [X0] : ssItem(skaf59(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f35,axiom,
    ! [X0] : ssItem(skaf60(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f34,axiom,
    ! [X0] : ssList(skaf61(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f33,axiom,
    ! [X0] : ssList(skaf62(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f32,axiom,
    ! [X0] : ssList(skaf63(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f31,axiom,
    ! [X0] : ssItem(skaf64(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f30,axiom,
    ! [X0] : ssItem(skaf65(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f29,axiom,
    ! [X0] : ssList(skaf66(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f28,axiom,
    ! [X0] : ssList(skaf67(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f27,axiom,
    ! [X0] : ssList(skaf68(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f26,axiom,
    ! [X0] : ssItem(skaf69(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f25,axiom,
    ! [X0] : ssItem(skaf70(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

fof(f24,axiom,
    ! [X0] : ssList(skaf71(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f23,axiom,
    ! [X0] : ssList(skaf72(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f22,axiom,
    ! [X0] : ssList(skaf73(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f21,axiom,
    ! [X0] : ssItem(skaf74(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f20,axiom,
    ! [X0] : ssList(skaf75(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f19,axiom,
    ! [X0] : ssList(skaf76(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f18,axiom,
    ! [X0] : ssList(skaf77(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f17,axiom,
    ! [X0] : ssItem(skaf78(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

fof(f16,axiom,
    ! [X0] : ssItem(skaf79(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

fof(f15,axiom,
    ! [X0] : ssList(skaf80(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

fof(f14,axiom,
    ! [X0] : ssList(skaf81(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

fof(f197,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f10,axiom,
    ssItem(skac2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f195,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f221,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | leq(X1,X3)
      | leq(X3,X1) ),
    inference(equality_resolution,[],[f184]) ).

fof(f184,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ totalorderP(X5)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | leq(X1,X3)
      | leq(X3,X1)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f220,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | lt(X1,X3)
      | lt(X3,X1) ),
    inference(equality_resolution,[],[f183]) ).

fof(f183,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderP(X5)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | lt(X1,X3)
      | lt(X3,X1)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f219,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ leq(X0,X1)
      | ~ leq(X1,X0) ),
    inference(equality_resolution,[],[f185]) ).

fof(f185,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclefreeP(X5)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ leq(X0,X1)
      | ~ leq(X1,X0)
      | app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f218,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | leq(X1,X3) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ totalorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X5)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | leq(X1,X3)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f217,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f181]) ).

fof(f181,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X5)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f216,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,cons(X2,X3))))
      | ~ ssList(X0)
      | ~ ssList(X3)
      | X1 = X2 ),
    inference(equality_resolution,[],[f180]) ).

fof(f180,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equalelemsP(X4)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | X1 = X2
      | app(X0,cons(X1,cons(X2,X3))) != X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | nil = X0
      | nil = X1
      | tl(X0) != tl(X1)
      | hd(X0) != hd(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f222,plain,
    ! [X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ! [X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssItem(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(equality_resolution,[],[f178]) ).

fof(f178,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X2 != X3
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X2,X0),cons(X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f214,plain,
    ! [X2,X3,X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f179]) ).

fof(f179,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ duplicatefreeP(X4)
      | ~ ssItem(X1)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f154,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X1,X2)
      | ~ frontsegP(X0,X1)
      | frontsegP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f153,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X1,X2)
      | ~ rearsegP(X0,X1)
      | rearsegP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ segmentP(X1,X2)
      | ~ segmentP(X0,X1)
      | segmentP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X3,X1)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ segmentP(X0,X1)
      | segmentP(app(app(X3,X0),X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | memberP(X1,X2)
      | memberP(X0,X2)
      | ~ memberP(app(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | memberP(app(X0,cons(X1,X2)),X1) ),
    inference(equality_resolution,[],[f175]) ).

fof(f175,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | memberP(X3,X1)
      | app(X0,cons(X1,X2)) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | X0 = X2
      | memberP(X1,X2)
      | ~ memberP(cons(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f174,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | frontsegP(X1,X3)
      | ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X0 = X2
      | ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f170,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X0 = X2
      | cons(X0,X1) != cons(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X1 = X3
      | cons(X0,X1) != cons(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f156,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f147,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X1,X2)
      | ~ leq(X0,X1)
      | lt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X1,X2)
      | ~ lt(X0,X1)
      | lt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ geq(X1,X2)
      | ~ geq(X0,X1)
      | geq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f146,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1)
      | gt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ leq(X0,hd(X1))
      | totalorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ lt(X0,hd(X1))
      | strictorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f223,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil != X0
      | nil = app(X0,nil) ),
    inference(equality_resolution,[],[f145]) ).

fof(f145,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != X1
      | nil != X0
      | nil = app(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | rearsegP(app(X0,X1),X1) ),
    inference(equality_resolution,[],[f143]) ).

fof(f143,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | rearsegP(X2,X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | X0 = X2
      | app(X0,X1) != app(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | X1 = X2
      | app(X0,X1) != app(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f137,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | frontsegP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f136,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X0,X1)
      | rearsegP(app(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ totalorderedP(cons(X0,X1))
      | leq(X0,hd(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ strictorderedP(cons(X0,X1))
      | lt(X0,hd(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1)
      | memberP(app(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | memberP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f122,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | memberP(cons(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | tl(app(X1,X0)) = app(tl(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | hd(app(X1,X0)) = hd(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f131,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X0,X1)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f230,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | totalorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f229,f205]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssList(nil)
      | totalorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | nil != X0
      | totalorderedP(cons(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f229,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f195,f187,f192,f193,f186,f188,f189,f197,f190,f191,f194,f196,f11,f1,f2,f7,f6,f5,f4,f3,f10,f9,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssList(nil)
      | strictorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | nil != X0
      | strictorderedP(cons(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f157,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f225,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(equality_resolution,[],[f111]) ).

fof(f111,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | X0 != X1
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f77,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f200,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | frontsegP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f199,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f198,plain,
    ( ~ ssList(nil)
    | rearsegP(nil,nil) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | rearsegP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderedP(X0)
      | app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cyclefreeP(X0)
      | app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderP(X0)
      | app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderP(X0)
      | app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | equalelemsP(X0)
      | app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f196,axiom,
    sk3 = app(app(sk5,cons(sk7,nil)),sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f194,axiom,
    sk4 = app(sk5,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f1033,plain,
    ( nil = sk2
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1031,plain,
    ( spl0_4
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1909,plain,
    ( ~ spl0_4
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1908]) ).

fof(f1908,plain,
    ( $false
    | ~ spl0_4
    | spl0_6
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1109,f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101,f1640]) ).

fof(f1109,plain,
    ( nil != tl(nil)
    | ~ spl0_4
    | spl0_6 ),
    inference(forward_demodulation,[],[f1049,f1033]) ).

fof(f1049,plain,
    ( sk2 != tl(sk2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl0_6
  <=> sk2 = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1907,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1906]) ).

fof(f1906,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1115,f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101,f1640]) ).

fof(f1115,plain,
    ( ~ ssList(tl(nil))
    | ~ ssItem(hd(nil))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1112]) ).

fof(f1112,plain,
    ( nil != nil
    | ~ ssList(tl(nil))
    | ~ ssItem(hd(nil))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f98,f1066]) ).

fof(f1066,plain,
    ( nil = cons(hd(nil),tl(nil))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f1029,f1033]) ).

fof(f1029,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1027,plain,
    ( spl0_3
  <=> sk2 = cons(hd(sk2),tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1905,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1066,f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101,f1640]) ).

fof(f1903,plain,
    ( spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101,f1640]) ).

fof(f1901,plain,
    ( spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1900]) ).

fof(f1900,plain,
    ( $false
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894,f1101]) ).

fof(f1899,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1898,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1897,f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894]) ).

fof(f1897,plain,
    ( nil != sk2
    | ~ ssList(tl(sk2))
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1037,f1044]) ).

fof(f1044,plain,
    ( ssItem(hd(sk2))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1043,plain,
    ( spl0_5
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1037,plain,
    ( nil != sk2
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ spl0_3 ),
    inference(superposition,[],[f98,f1029]) ).

fof(f1896,plain,
    ( spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1895]) ).

fof(f1895,plain,
    ( $false
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889,f1894]) ).

fof(f1891,plain,
    ( spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764,f1889]) ).

fof(f1886,plain,
    ( spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | spl0_8
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1523,f1538,f1540,f1541,f1542,f1546,f1543,f1544,f1545,f1551,f1552,f1553,f1555,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1536,f1500,f1505,f1630,f1640,f1101,f127,f1018,f1105,f1499,f1104,f1227,f1122,f128,f1669,f1708,f1710,f1706,f1712,f1633,f1719,f1716,f1738,f1727,f1740,f129,f1739,f1773,f1774,f1775,f1776,f1777,f1778,f1780,f1781,f1782,f1783,f1784,f1785,f1786,f1496,f1800,f1801,f1802,f1806,f1807,f1808,f1812,f1809,f130,f1820,f1824,f1827,f1810,f1811,f1855,f1858,f1865,f1876,f1881,f1804,f1795,f1882,f1883,f1884,f1769,f1768,f1767,f1764]) ).

fof(f1880,plain,
    ( spl0_4
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1879,plain,
    ( $false
    | spl0_4
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1878,f1523]) ).

fof(f1878,plain,
    ( ~ ssList(cons(sk7,nil))
    | spl0_4
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1877,f1032]) ).

fof(f1032,plain,
    ( nil != sk2
    | spl0_4 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1854,plain,
    ( spl0_18
    | ~ spl0_19
    | spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1845,f1833,f1031,f1851,f1847]) ).

fof(f1847,plain,
    ( spl0_18
  <=> totalorderedP(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1851,plain,
    ( spl0_19
  <=> totalorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1833,plain,
    ( spl0_15
  <=> nil = skaf82(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1845,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | spl0_4
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1689,f1834]) ).

fof(f1834,plain,
    ( nil != skaf82(sk2)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1833]) ).

fof(f1689,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1688,f12]) ).

fof(f1688,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1681,f13]) ).

fof(f1681,plain,
    ( ~ totalorderedP(sk2)
    | ~ ssList(skaf82(sk2))
    | totalorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_4 ),
    inference(superposition,[],[f125,f1641]) ).

fof(f1641,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | spl0_4 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f130,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f936,f937,f938,f1014,f1032,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1104,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1500,f1505,f1496,f1630,f1631,f1105,f1018,f1640]) ).

fof(f1631,plain,
    ( nil != sk2
    | spl0_4 ),
    inference(global_subsumption,[],[f194,f196,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f123,f133,f139,f130,f122,f140,f141,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f192,f193,f195,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f197,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f278,f73,f313,f314,f307,f308,f311,f312,f74,f341,f342,f349,f350,f343,f344,f347,f348,f280,f281,f282,f283,f75,f351,f352,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f76,f295,f296,f297,f298,f299,f300,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f80,f82,f84,f85,f369,f370,f86,f426,f427,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f301,f302,f303,f304,f305,f306,f337,f338,f339,f340,f96,f505,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f550,f551,f552,f559,f560,f522,f553,f554,f557,f558,f523,f524,f525,f97,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f624,f625,f626,f633,f634,f596,f627,f628,f631,f632,f597,f598,f599,f100,f645,f647,f600,f601,f602,f603,f604,f605,f606,f607,f608,f101,f609,f610,f611,f612,f613,f614,f615,f616,f617,f526,f527,f102,f528,f529,f530,f531,f532,f533,f534,f535,f536,f537,f538,f103,f539,f540,f541,f542,f543,f618,f619,f620,f621,f622,f623,f105,f544,f545,f546,f547,f548,f549,f503,f730,f752,f753,f754,f755,f756,f757,f758,f759,f760,f769,f770,f762,f765,f766,f767,f106,f504,f781,f803,f804,f805,f806,f807,f808,f809,f810,f811,f820,f821,f813,f816,f817,f818,f107,f834,f836,f838,f577,f839,f867,f868,f869,f878,f879,f871,f874,f875,f876,f840,f841,f842,f108,f894,f896,f843,f844,f845,f846,f847,f848,f849,f850,f851,f852,f853,f110,f909,f854,f855,f856,f857,f858,f859,f860,f578,f917,f945,f946,f947,f956,f957,f949,f952,f953,f114,f954,f918,f919,f920,f921,f922,f923,f924,f203,f970,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f104,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1019,f1011,f1012,f1022,f1018,f936,f937,f938,f1014,f1032,f109,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1106,f1098,f1099,f1104,f1105,f1017,f118,f119,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f120,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f121,f1392,f1395,f1397,f1399,f782,f783,f784,f785,f786,f787,f788,f789,f790,f791,f792,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f861,f124,f862,f863,f864,f865,f866,f939,f940,f941,f942,f943,f944,f125,f1362,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1501,f1504,f1464,f1465,f1517,f1518,f1520,f126,f1500,f1505,f1496,f1630]) ).

fof(f1844,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1687,f1031,f1841,f1837,f1833]) ).

fof(f1837,plain,
    ( spl0_16
  <=> strictorderedP(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1841,plain,
    ( spl0_17
  <=> strictorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1687,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1686,f12]) ).

fof(f1686,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1680,f13]) ).

fof(f1680,plain,
    ( ~ strictorderedP(sk2)
    | ~ ssList(skaf82(sk2))
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_4 ),
    inference(superposition,[],[f124,f1641]) ).

fof(f1725,plain,
    ( ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1724,plain,
    ( $false
    | ~ spl0_11
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1723,f1523]) ).

fof(f1723,plain,
    ( ~ ssList(cons(sk7,nil))
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1722,f192]) ).

fof(f1722,plain,
    ( ~ ssList(sk5)
    | ~ ssList(cons(sk7,nil))
    | spl0_14 ),
    inference(resolution,[],[f1720,f85]) ).

fof(f1720,plain,
    ( ~ ssList(app(sk5,cons(sk7,nil)))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1718]) ).

fof(f1721,plain,
    ( spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1633,f1718,f1714]) ).

fof(f1665,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1663,f1032]) ).

fof(f1663,plain,
    ( nil = sk2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1662,f231]) ).

fof(f1662,plain,
    ( sk2 = app(nil,nil)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1651,f1123]) ).

fof(f1123,plain,
    ( nil = sk5
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1651,plain,
    ( sk2 = app(sk5,nil)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f234,f1636]) ).

fof(f1636,plain,
    ( nil = sk6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1635,f1523]) ).

fof(f1635,plain,
    ( ~ ssList(cons(sk7,nil))
    | nil = sk6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1634,f1536]) ).

fof(f1634,plain,
    ( ~ ssList(app(nil,cons(sk7,nil)))
    | nil = sk6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1633,f1123]) ).

fof(f1626,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1624,f195]) ).

fof(f1624,plain,
    ( ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1607,f8]) ).

fof(f1607,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1602]) ).

fof(f1602,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f99,f1570]) ).

fof(f1570,plain,
    ( nil = cons(sk7,nil)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1565,f1464]) ).

fof(f1565,plain,
    ( nil = app(cons(sk7,nil),nil)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1252,f1536]) ).

fof(f1252,plain,
    ( nil = app(app(nil,cons(sk7,nil)),nil)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1161,f1230]) ).

fof(f1230,plain,
    ( nil = sk6
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f1160,f348]) ).

fof(f1160,plain,
    ( nil = app(nil,sk6)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1147,f1033]) ).

fof(f1147,plain,
    ( sk2 = app(nil,sk6)
    | ~ spl0_8 ),
    inference(superposition,[],[f234,f1123]) ).

fof(f1161,plain,
    ( nil = app(app(nil,cons(sk7,nil)),sk6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1149,f645]) ).

fof(f1149,plain,
    ( sk1 = app(app(nil,cons(sk7,nil)),sk6)
    | ~ spl0_8 ),
    inference(superposition,[],[f278,f1123]) ).

fof(f1623,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1621,f195]) ).

fof(f1621,plain,
    ( ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1608,f8]) ).

fof(f1608,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1601]) ).

fof(f1601,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f98,f1570]) ).

fof(f1620,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1619,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1618,f195]) ).

fof(f1618,plain,
    ( ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1617,f1523]) ).

fof(f1617,plain,
    ( ~ ssList(cons(sk7,nil))
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1599,f11]) ).

fof(f1599,plain,
    ( singletonP(nil)
    | ~ ssList(cons(sk7,nil))
    | ~ ssItem(sk7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f203,f1570]) ).

fof(f1614,plain,
    ( ~ spl0_4
    | spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1613,plain,
    ( $false
    | ~ spl0_4
    | spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1580,f1109]) ).

fof(f1580,plain,
    ( nil = tl(nil)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f522,f1570]) ).

fof(f1532,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1530,f195]) ).

fof(f1530,plain,
    ( ~ ssItem(sk7)
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1529,f8]) ).

fof(f1529,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk7)
    | spl0_11 ),
    inference(resolution,[],[f1524,f86]) ).

fof(f1524,plain,
    ( ~ ssList(cons(sk7,nil))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1528,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1519,f239,f1526,f1522]) ).

fof(f1526,plain,
    ( spl0_12
  <=> ! [X0] : duplicatefreeP(cons(sk7,skaf82(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f239,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1519,plain,
    ( ! [X0] :
        ( duplicatefreeP(cons(sk7,skaf82(X0)))
        | ~ ssList(cons(sk7,nil)) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1515,f13]) ).

fof(f1515,plain,
    ( ! [X0] :
        ( duplicatefreeP(cons(sk7,skaf82(X0)))
        | ~ ssList(skaf82(X0))
        | ~ ssList(cons(sk7,nil)) )
    | ~ spl0_2 ),
    inference(superposition,[],[f371,f1465]) ).

fof(f371,plain,
    ( ! [X0,X1] :
        ( duplicatefreeP(app(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f85,f240]) ).

fof(f240,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f1144,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1142,f192]) ).

fof(f1142,plain,
    ( ~ ssList(sk5)
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1141,f1122]) ).

fof(f1141,plain,
    ( nil = sk5
    | ~ ssList(sk5)
    | spl0_9 ),
    inference(resolution,[],[f1135,f76]) ).

fof(f1135,plain,
    ( ~ ssItem(hd(sk5))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1133,plain,
    ( spl0_9
  <=> ssItem(hd(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1140,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1131,f1117,f1137,f1133]) ).

fof(f1137,plain,
    ( spl0_10
  <=> sk5 = tl(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1117,plain,
    ( spl0_7
  <=> sk5 = cons(hd(sk5),tl(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1131,plain,
    ( sk5 != tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1130,f192]) ).

fof(f1130,plain,
    ( sk5 != tl(sk5)
    | ~ ssList(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(inner_rewriting,[],[f1126]) ).

fof(f1126,plain,
    ( sk5 != tl(sk5)
    | ~ ssList(tl(sk5))
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(superposition,[],[f99,f1119]) ).

fof(f1119,plain,
    ( sk5 = cons(hd(sk5),tl(sk5))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1124,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1017,f1121,f1117]) ).

fof(f1054,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f1052,f187]) ).

fof(f1052,plain,
    ( ~ ssList(sk2)
    | spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f1051,f1032]) ).

fof(f1051,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_5 ),
    inference(resolution,[],[f1045,f76]) ).

fof(f1045,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1050,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1041,f1027,f1047,f1043]) ).

fof(f1041,plain,
    ( sk2 != tl(sk2)
    | ~ ssItem(hd(sk2))
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1040,f187]) ).

fof(f1040,plain,
    ( sk2 != tl(sk2)
    | ~ ssList(sk2)
    | ~ ssItem(hd(sk2))
    | ~ spl0_3 ),
    inference(inner_rewriting,[],[f1036]) ).

fof(f1036,plain,
    ( sk2 != tl(sk2)
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ spl0_3 ),
    inference(superposition,[],[f99,f1029]) ).

fof(f1034,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1014,f1031,f1027]) ).

fof(f241,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f72,f239,f236]) ).

fof(f236,plain,
    ( spl0_1
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 20:28:53 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (10631)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (10634)WARNING: value z3 for option sas not known
% 0.11/0.35  % (10635)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35  % (10633)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35  % (10637)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35  % (10636)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35  % (10638)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35  % (10632)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35  % (10634)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.37  TRYING [3]
% 0.11/0.40  TRYING [1]
% 0.11/0.41  TRYING [2]
% 0.11/0.41  % (10634)First to succeed.
% 0.17/0.41  TRYING [4]
% 0.17/0.43  % (10634)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10631"
% 0.17/0.43  % (10634)Refutation found. Thanks to Tanya!
% 0.17/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.44  % (10634)------------------------------
% 0.17/0.44  % (10634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.44  % (10634)Termination reason: Refutation
% 0.17/0.44  
% 0.17/0.44  % (10634)Memory used [KB]: 2068
% 0.17/0.44  % (10634)Time elapsed: 0.082 s
% 0.17/0.44  % (10634)Instructions burned: 154 (million)
% 0.17/0.44  % (10631)Success in time 0.106 s
%------------------------------------------------------------------------------