TSTP Solution File: SWC098-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC098-1 : 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 : n019.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 09:58:37 EDT 2024

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :  208
% Syntax   : Number of formulae    :  683 ( 234 unt;   0 def)
%            Number of atoms       : 1694 ( 504 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1801 ( 790   ~;1003   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   28 (  26 usr;   9 prp; 0-2 aty)
%            Number of functors    :   55 (  55 usr;   8 con; 0-2 aty)
%            Number of variables   :  759 ( 759   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1349,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f265,f677,f1134,f1195,f1210,f1228,f1338,f1348]) ).

fof(f1348,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f198,f197,f203,f202,f200,f199,f204,f201,f120,f142,f162,f167,f165,f166,f164,f163,f205,f206,f207,f77,f109,f104,f232,f157,f211,f236,f212,f237,f169,f149,f131,f168,f132,f119,f118,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f215,f216,f230,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f219,f158,f172,f220,f152,f153,f154,f221,f229,f177,f223,f224,f225,f226,f227,f228,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f233,f234,f235,f241,f242,f243,f48,f49,f50,f51,f52,f53,f196,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f238,f64,f65,f66,f67,f68,f69,f70,f72,f268,f277,f73,f318,f319,f314,f315,f74,f352,f353,f348,f349,f287,f288,f289,f290,f291,f75,f354,f355,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f80,f82,f84,f85,f371,f372,f87,f88,f89,f90,f91,f92,f93,f94,f95,f308,f309,f310,f311,f312,f313,f342,f343,f344,f345,f346,f347,f101,f78,f76,f86,f718,f719,f680,f98,f99,f231,f192,f96,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f811,f840,f841,f842,f848,f849,f847,f97,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f843,f844,f871,f904,f905,f906,f912,f913,f911,f907,f908,f877,f103,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f105,f889,f890,f891,f892,f893,f894,f895,f896,f897,f813,f814,f106,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f107,f970,f972,f974,f826,f827,f828,f829,f830,f831,f832,f833,f898,f899,f900,f108,f1001,f1003,f901,f902,f903,f810,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1042,f1043,f1007,f1038,f1039,f1008,f1009,f110,f1055,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f114,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f834,f835,f836,f210,f1102,f1107,f1125,f1123,f837,f838,f839,f870,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1176,f1177,f1141,f193,f1184,f1186,f1172,f1173,f1142,f1143,f194,f679,f1213,f1215,f276,f278,f279,f280,f281,f247,f282,f1105,f255,f787,f791,f1231,f1232,f1230,f1287,f792,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1325,f1326,f1321,f1322,f195,f1340,f1342,f876,f812,f1343,f1344,f1345,f250]) ).

fof(f250,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_2
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1345,plain,
    ( sk1 = cons(sk6,nil)
    | spl0_1 ),
    inference(global_subsumption,[],[f198,f197,f203,f202,f200,f199,f204,f201,f120,f142,f162,f167,f165,f166,f164,f163,f205,f206,f207,f77,f109,f104,f232,f157,f211,f236,f212,f237,f169,f149,f131,f168,f132,f119,f118,f123,f133,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f215,f216,f230,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f219,f158,f172,f220,f152,f153,f154,f221,f229,f177,f223,f224,f225,f226,f227,f228,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f233,f234,f235,f241,f242,f243,f48,f49,f50,f51,f52,f53,f196,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f238,f64,f65,f66,f67,f68,f69,f70,f72,f268,f277,f73,f318,f319,f314,f315,f74,f352,f353,f348,f349,f287,f288,f289,f290,f291,f75,f354,f355,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f321,f322,f323,f324,f325,f326,f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f340,f341,f80,f82,f84,f85,f371,f372,f87,f88,f89,f90,f91,f92,f93,f94,f95,f308,f309,f310,f311,f312,f313,f342,f343,f344,f345,f346,f347,f101,f78,f76,f86,f718,f719,f680,f98,f99,f231,f192,f96,f793,f794,f795,f796,f797,f798,f799,f800,f801,f802,f803,f804,f805,f806,f807,f808,f809,f811,f840,f841,f842,f848,f849,f847,f97,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f843,f844,f871,f904,f905,f906,f912,f913,f911,f907,f908,f877,f103,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f105,f889,f890,f891,f892,f893,f894,f895,f896,f897,f813,f814,f106,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f107,f970,f972,f974,f826,f827,f828,f829,f830,f831,f832,f833,f898,f899,f900,f108,f1001,f1003,f901,f902,f903,f810,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1042,f1043,f1007,f1038,f1039,f1008,f1009,f110,f1055,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f114,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f834,f835,f836,f210,f1102,f1107,f1125,f1123,f837,f838,f839,f870,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1176,f1177,f1141,f193,f1184,f1186,f1172,f1173,f1142,f1143,f194,f679,f1213,f1215,f276,f278,f279,f280,f281,f247,f282,f1105,f255,f787,f791,f1231,f1232,f1230,f1287,f792,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1325,f1326,f1321,f1322,f195,f1340,f1342,f876,f812,f1343,f1344]) ).

fof(f1344,plain,
    ( sk1 = cons(sk6,nil)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f283,f191]) ).

fof(f283,plain,
    ( nil = sk1
    | sk3 = cons(sk6,nil) ),
    inference(forward_demodulation,[],[f202,f191]) ).

fof(f1343,plain,
    ( sk1 = cons(sk6,nil)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1213,f247]) ).

fof(f812,plain,
    nil = tl(cons(sk6,nil)),
    inference(resolution,[],[f811,f8]) ).

fof(f876,plain,
    sk6 = hd(cons(sk6,nil)),
    inference(resolution,[],[f871,f8]) ).

fof(f1342,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1341,f47]) ).

fof(f1341,plain,
    ( nil != sk1
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1279,f8]) ).

fof(f1279,plain,
    ( nil != sk1
    | ~ ssList(nil)
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(superposition,[],[f99,f1230]) ).

fof(f1340,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1339,f47]) ).

fof(f1339,plain,
    ( nil != sk1
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1280,f8]) ).

fof(f1280,plain,
    ( nil != sk1
    | ~ ssList(nil)
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(superposition,[],[f98,f1230]) ).

fof(f195,axiom,
    ! [X6] :
      ( sk1 != cons(X6,nil)
      | ~ memberP(sk2,X6)
      | sk5(X6) != X6
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f1322,plain,
    sk2 = tl(cons(skac3,sk2)),
    inference(resolution,[],[f792,f187]) ).

fof(f1321,plain,
    sk1 = tl(cons(skac3,sk1)),
    inference(resolution,[],[f792,f186]) ).

fof(f1326,plain,
    sk2 = tl(cons(skac3,sk2)),
    inference(forward_demodulation,[],[f1324,f190]) ).

fof(f1324,plain,
    sk4 = tl(cons(skac3,sk4)),
    inference(resolution,[],[f792,f189]) ).

fof(f1325,plain,
    sk1 = tl(cons(skac3,sk1)),
    inference(forward_demodulation,[],[f1323,f191]) ).

fof(f1323,plain,
    sk3 = tl(cons(skac3,sk3)),
    inference(resolution,[],[f792,f188]) ).

fof(f1320,plain,
    ! [X0] :
      ( tl(X0) = tl(cons(skac3,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f792,f75]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f792,f85]) ).

fof(f1318,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f792,f86]) ).

fof(f1317,plain,
    ! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
    inference(resolution,[],[f792,f53]) ).

fof(f1316,plain,
    ! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
    inference(resolution,[],[f792,f52]) ).

fof(f1315,plain,
    ! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
    inference(resolution,[],[f792,f51]) ).

fof(f1314,plain,
    ! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
    inference(resolution,[],[f792,f50]) ).

fof(f1313,plain,
    ! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
    inference(resolution,[],[f792,f49]) ).

fof(f1312,plain,
    ! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
    inference(resolution,[],[f792,f48]) ).

fof(f1311,plain,
    ! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
    inference(resolution,[],[f792,f44]) ).

fof(f1310,plain,
    ! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
    inference(resolution,[],[f792,f43]) ).

fof(f1309,plain,
    ! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
    inference(resolution,[],[f792,f42]) ).

fof(f1308,plain,
    ! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
    inference(resolution,[],[f792,f39]) ).

fof(f1307,plain,
    ! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
    inference(resolution,[],[f792,f38]) ).

fof(f1306,plain,
    ! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
    inference(resolution,[],[f792,f37]) ).

fof(f1305,plain,
    ! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
    inference(resolution,[],[f792,f34]) ).

fof(f1304,plain,
    ! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
    inference(resolution,[],[f792,f33]) ).

fof(f1303,plain,
    ! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
    inference(resolution,[],[f792,f32]) ).

fof(f1302,plain,
    ! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
    inference(resolution,[],[f792,f29]) ).

fof(f1301,plain,
    ! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
    inference(resolution,[],[f792,f28]) ).

fof(f1300,plain,
    ! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
    inference(resolution,[],[f792,f27]) ).

fof(f1299,plain,
    ! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
    inference(resolution,[],[f792,f24]) ).

fof(f1298,plain,
    ! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
    inference(resolution,[],[f792,f23]) ).

fof(f1297,plain,
    ! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
    inference(resolution,[],[f792,f22]) ).

fof(f1296,plain,
    ! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
    inference(resolution,[],[f792,f20]) ).

fof(f1295,plain,
    ! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
    inference(resolution,[],[f792,f19]) ).

fof(f1294,plain,
    ! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
    inference(resolution,[],[f792,f18]) ).

fof(f1293,plain,
    ! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
    inference(resolution,[],[f792,f15]) ).

fof(f1292,plain,
    ! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
    inference(resolution,[],[f792,f14]) ).

fof(f1291,plain,
    ! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
    inference(resolution,[],[f792,f13]) ).

fof(f1290,plain,
    nil = tl(cons(skac3,nil)),
    inference(resolution,[],[f792,f8]) ).

fof(f792,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac3,X0)) = X0 ),
    inference(resolution,[],[f96,f9]) ).

fof(f1287,plain,
    ( memberP(sk1,skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1286,f47]) ).

fof(f1286,plain,
    ( memberP(sk1,skaf44(sk1))
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1278,f8]) ).

fof(f1278,plain,
    ( memberP(sk1,skaf44(sk1))
    | ~ ssList(nil)
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(superposition,[],[f231,f1230]) ).

fof(f1230,plain,
    ( sk1 = cons(skaf44(sk1),nil)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1229,f186]) ).

fof(f1229,plain,
    ( ~ ssList(sk1)
    | sk1 = cons(skaf44(sk1),nil)
    | spl0_1 ),
    inference(resolution,[],[f1105,f101]) ).

fof(f1232,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(sk5(sk6),X0)) = X0 )
    | spl0_1 ),
    inference(resolution,[],[f791,f96]) ).

fof(f1231,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sk5(sk6) = hd(cons(sk5(sk6),X0)) )
    | spl0_1 ),
    inference(resolution,[],[f791,f97]) ).

fof(f791,plain,
    ( ssItem(sk5(sk6))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f790,f243]) ).

fof(f790,plain,
    ( ssItem(sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f789,f255]) ).

fof(f789,plain,
    ( ~ memberP(sk2,sk6)
    | ssItem(sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f788]) ).

fof(f788,plain,
    ( sk1 != sk1
    | ~ memberP(sk2,sk6)
    | ssItem(sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f192,f268]) ).

fof(f787,plain,
    ( memberP(sk1,sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f786,f243]) ).

fof(f786,plain,
    ( memberP(sk1,sk6)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f785,f8]) ).

fof(f785,plain,
    ( memberP(sk1,sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f231,f268]) ).

fof(f255,plain,
    ( memberP(sk2,sk6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f254,f190]) ).

fof(f254,plain,
    ( memberP(sk4,sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f253,f247]) ).

fof(f253,plain,
    ( nil = sk2
    | memberP(sk4,sk6) ),
    inference(forward_demodulation,[],[f200,f190]) ).

fof(f1105,plain,
    ( singletonP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1104,f186]) ).

fof(f1104,plain,
    ( ~ ssList(sk1)
    | singletonP(sk1)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1103,f268]) ).

fof(f1103,plain,
    ( singletonP(sk1)
    | ~ ssList(cons(sk6,nil))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1101,f243]) ).

fof(f1101,plain,
    ( singletonP(sk1)
    | ~ ssList(cons(sk6,nil))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f210,f268]) ).

fof(f282,plain,
    ( cyclefreeP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f275,f243]) ).

fof(f275,plain,
    ( cyclefreeP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f70,f268]) ).

fof(f247,plain,
    ( nil != sk2
    | spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_1
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f281,plain,
    ( totalorderP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f274,f243]) ).

fof(f274,plain,
    ( totalorderP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f69,f268]) ).

fof(f280,plain,
    ( strictorderP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f273,f243]) ).

fof(f273,plain,
    ( strictorderP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f68,f268]) ).

fof(f279,plain,
    ( totalorderedP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f272,f243]) ).

fof(f272,plain,
    ( totalorderedP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f67,f268]) ).

fof(f278,plain,
    ( strictorderedP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f271,f243]) ).

fof(f271,plain,
    ( strictorderedP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f66,f268]) ).

fof(f276,plain,
    ( equalelemsP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f269,f243]) ).

fof(f269,plain,
    ( equalelemsP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f64,f268]) ).

fof(f1215,plain,
    ( memberP(sk2,sk6)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f253,f190]) ).

fof(f1213,plain,
    ( sk1 = cons(sk6,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f266,f191]) ).

fof(f266,plain,
    ( nil = sk2
    | sk3 = cons(sk6,nil) ),
    inference(forward_demodulation,[],[f199,f190]) ).

fof(f679,plain,
    ! [X6] :
      ( nil = sk2
      | ~ memberP(sk2,X6)
      | ~ ssItem(X6)
      | ~ leq(sk6,X6)
      | sk6 = X6 ),
    inference(forward_demodulation,[],[f678,f190]) ).

fof(f678,plain,
    ! [X6] :
      ( ~ memberP(sk2,X6)
      | ~ ssItem(X6)
      | ~ leq(sk6,X6)
      | sk6 = X6
      | nil = sk4 ),
    inference(forward_demodulation,[],[f201,f190]) ).

fof(f194,axiom,
    ! [X6] :
      ( sk1 != cons(X6,nil)
      | ~ memberP(sk2,X6)
      | leq(X6,sk5(X6))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f1143,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf81(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f14]) ).

fof(f1142,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf82(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f13]) ).

fof(f1173,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk2))
    | spl0_1 ),
    inference(resolution,[],[f870,f187]) ).

fof(f1172,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk1))
    | spl0_1 ),
    inference(resolution,[],[f870,f186]) ).

fof(f1186,plain,
    ( ~ leq(sk6,sk5(sk6))
    | sk6 = sk5(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1185,f791]) ).

fof(f1185,plain,
    ( ~ ssItem(sk5(sk6))
    | ~ leq(sk6,sk5(sk6))
    | sk6 = sk5(sk6)
    | spl0_1 ),
    inference(resolution,[],[f1184,f680]) ).

fof(f1184,plain,
    ( memberP(sk2,sk5(sk6))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1183,f243]) ).

fof(f1183,plain,
    ( memberP(sk2,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1182,f255]) ).

fof(f1182,plain,
    ( ~ memberP(sk2,sk6)
    | memberP(sk2,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f1179]) ).

fof(f1179,plain,
    ( sk1 != sk1
    | ~ memberP(sk2,sk6)
    | memberP(sk2,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f193,f268]) ).

fof(f193,axiom,
    ! [X6] :
      ( sk1 != cons(X6,nil)
      | ~ memberP(sk2,X6)
      | memberP(sk2,sk5(X6))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f1141,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),nil))
    | spl0_1 ),
    inference(resolution,[],[f870,f8]) ).

fof(f1177,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk2))
    | spl0_1 ),
    inference(forward_demodulation,[],[f1175,f190]) ).

fof(f1175,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk4))
    | spl0_1 ),
    inference(resolution,[],[f870,f189]) ).

fof(f1176,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk1))
    | spl0_1 ),
    inference(forward_demodulation,[],[f1174,f191]) ).

fof(f1174,plain,
    ( sk5(sk6) = hd(cons(sk5(sk6),sk3))
    | spl0_1 ),
    inference(resolution,[],[f870,f188]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( sk5(sk6) = hd(cons(sk5(sk6),tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | spl0_1 ),
    inference(resolution,[],[f870,f75]) ).

fof(f1170,plain,
    ( ! [X0,X1] :
        ( sk5(sk6) = hd(cons(sk5(sk6),app(X0,X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl0_1 ),
    inference(resolution,[],[f870,f85]) ).

fof(f1169,plain,
    ( ! [X0,X1] :
        ( sk5(sk6) = hd(cons(sk5(sk6),cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | spl0_1 ),
    inference(resolution,[],[f870,f86]) ).

fof(f1168,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf42(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f53]) ).

fof(f1167,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf43(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f52]) ).

fof(f1166,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf45(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f51]) ).

fof(f1165,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf46(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f50]) ).

fof(f1164,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf47(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f49]) ).

fof(f1163,plain,
    ( ! [X0,X1] : sk5(sk6) = hd(cons(sk5(sk6),skaf48(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f870,f48]) ).

fof(f1162,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf51(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f44]) ).

fof(f1161,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf52(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f43]) ).

fof(f1160,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf53(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f42]) ).

fof(f1159,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf56(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f39]) ).

fof(f1158,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf57(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f38]) ).

fof(f1157,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf58(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f37]) ).

fof(f1156,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf61(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f34]) ).

fof(f1155,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf62(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f33]) ).

fof(f1154,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf63(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f32]) ).

fof(f1153,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf66(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f29]) ).

fof(f1152,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf67(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f28]) ).

fof(f1151,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf68(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f27]) ).

fof(f1150,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf71(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f24]) ).

fof(f1149,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf72(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f23]) ).

fof(f1148,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf73(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f22]) ).

fof(f1147,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf75(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f20]) ).

fof(f1146,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf76(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f19]) ).

fof(f1145,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf77(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f18]) ).

fof(f1144,plain,
    ( ! [X0] : sk5(sk6) = hd(cons(sk5(sk6),skaf80(X0)))
    | spl0_1 ),
    inference(resolution,[],[f870,f15]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sk5(sk6) = hd(cons(sk5(sk6),X0)) )
    | spl0_1 ),
    inference(resolution,[],[f97,f791]) ).

fof(f839,plain,
    ! [X0,X1] : skaf42(X0,X1) = tl(cons(sk6,skaf42(X0,X1))),
    inference(resolution,[],[f811,f53]) ).

fof(f838,plain,
    ! [X0,X1] : skaf43(X0,X1) = tl(cons(sk6,skaf43(X0,X1))),
    inference(resolution,[],[f811,f52]) ).

fof(f837,plain,
    ! [X0,X1] : skaf45(X0,X1) = tl(cons(sk6,skaf45(X0,X1))),
    inference(resolution,[],[f811,f51]) ).

fof(f1123,plain,
    ( ~ memberP(sk2,skaf44(sk1))
    | ssItem(sk5(skaf44(sk1)))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1122,f47]) ).

fof(f1122,plain,
    ( ~ memberP(sk2,skaf44(sk1))
    | ssItem(sk5(skaf44(sk1)))
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f1115]) ).

fof(f1115,plain,
    ( sk1 != sk1
    | ~ memberP(sk2,skaf44(sk1))
    | ssItem(sk5(skaf44(sk1)))
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(superposition,[],[f192,f1107]) ).

fof(f1125,plain,
    ( memberP(sk1,skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1124,f47]) ).

fof(f1124,plain,
    ( memberP(sk1,skaf44(sk1))
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1117,f8]) ).

fof(f1117,plain,
    ( memberP(sk1,skaf44(sk1))
    | ~ ssList(nil)
    | ~ ssItem(skaf44(sk1))
    | spl0_1 ),
    inference(superposition,[],[f231,f1107]) ).

fof(f1107,plain,
    ( sk1 = cons(skaf44(sk1),nil)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1106,f186]) ).

fof(f1106,plain,
    ( ~ ssList(sk1)
    | sk1 = cons(skaf44(sk1),nil)
    | spl0_1 ),
    inference(resolution,[],[f1105,f101]) ).

fof(f1102,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f1100]) ).

fof(f1100,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(resolution,[],[f210,f101]) ).

fof(f210,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/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f836,plain,
    ! [X0,X1] : skaf46(X0,X1) = tl(cons(sk6,skaf46(X0,X1))),
    inference(resolution,[],[f811,f50]) ).

fof(f835,plain,
    ! [X0,X1] : skaf47(X0,X1) = tl(cons(sk6,skaf47(X0,X1))),
    inference(resolution,[],[f811,f49]) ).

fof(f834,plain,
    ! [X0,X1] : skaf48(X0,X1) = tl(cons(sk6,skaf48(X0,X1))),
    inference(resolution,[],[f811,f48]) ).

fof(f1028,plain,
    ( ! [X0] : skaf51(X0) = tl(cons(sk5(sk6),skaf51(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f44]) ).

fof(f1027,plain,
    ( ! [X0] : skaf52(X0) = tl(cons(sk5(sk6),skaf52(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f43]) ).

fof(f1026,plain,
    ( ! [X0] : skaf53(X0) = tl(cons(sk5(sk6),skaf53(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f42]) ).

fof(f1025,plain,
    ( ! [X0] : skaf56(X0) = tl(cons(sk5(sk6),skaf56(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f39]) ).

fof(f1024,plain,
    ( ! [X0] : skaf57(X0) = tl(cons(sk5(sk6),skaf57(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f38]) ).

fof(f1023,plain,
    ( ! [X0] : skaf58(X0) = tl(cons(sk5(sk6),skaf58(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f37]) ).

fof(f1022,plain,
    ( ! [X0] : skaf61(X0) = tl(cons(sk5(sk6),skaf61(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f34]) ).

fof(f1021,plain,
    ( ! [X0] : skaf62(X0) = tl(cons(sk5(sk6),skaf62(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f33]) ).

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

fof(f1020,plain,
    ( ! [X0] : skaf63(X0) = tl(cons(sk5(sk6),skaf63(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f32]) ).

fof(f1019,plain,
    ( ! [X0] : skaf66(X0) = tl(cons(sk5(sk6),skaf66(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f29]) ).

fof(f1018,plain,
    ( ! [X0] : skaf67(X0) = tl(cons(sk5(sk6),skaf67(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f28]) ).

fof(f1017,plain,
    ( ! [X0] : skaf68(X0) = tl(cons(sk5(sk6),skaf68(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f27]) ).

fof(f1016,plain,
    ( ! [X0] : skaf71(X0) = tl(cons(sk5(sk6),skaf71(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f24]) ).

fof(f1015,plain,
    ( ! [X0] : skaf72(X0) = tl(cons(sk5(sk6),skaf72(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f23]) ).

fof(f1014,plain,
    ( ! [X0] : skaf73(X0) = tl(cons(sk5(sk6),skaf73(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f22]) ).

fof(f1013,plain,
    ( ! [X0] : skaf75(X0) = tl(cons(sk5(sk6),skaf75(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f20]) ).

fof(f1012,plain,
    ( ! [X0] : skaf76(X0) = tl(cons(sk5(sk6),skaf76(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f19]) ).

fof(f1011,plain,
    ( ! [X0] : skaf77(X0) = tl(cons(sk5(sk6),skaf77(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f18]) ).

fof(f1010,plain,
    ( ! [X0] : skaf80(X0) = tl(cons(sk5(sk6),skaf80(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f15]) ).

fof(f1055,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ lt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f1054]) ).

fof(f1054,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/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f1009,plain,
    ( ! [X0] : skaf81(X0) = tl(cons(sk5(sk6),skaf81(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f14]) ).

fof(f1008,plain,
    ( ! [X0] : skaf82(X0) = tl(cons(sk5(sk6),skaf82(X0)))
    | spl0_1 ),
    inference(resolution,[],[f810,f13]) ).

fof(f1039,plain,
    ( sk2 = tl(cons(sk5(sk6),sk2))
    | spl0_1 ),
    inference(resolution,[],[f810,f187]) ).

fof(f1038,plain,
    ( sk1 = tl(cons(sk5(sk6),sk1))
    | spl0_1 ),
    inference(resolution,[],[f810,f186]) ).

fof(f1007,plain,
    ( nil = tl(cons(sk5(sk6),nil))
    | spl0_1 ),
    inference(resolution,[],[f810,f8]) ).

fof(f1043,plain,
    ( sk2 = tl(cons(sk5(sk6),sk2))
    | spl0_1 ),
    inference(forward_demodulation,[],[f1041,f190]) ).

fof(f1041,plain,
    ( sk4 = tl(cons(sk5(sk6),sk4))
    | spl0_1 ),
    inference(resolution,[],[f810,f189]) ).

fof(f1042,plain,
    ( sk1 = tl(cons(sk5(sk6),sk1))
    | spl0_1 ),
    inference(forward_demodulation,[],[f1040,f191]) ).

fof(f1040,plain,
    ( sk3 = tl(cons(sk5(sk6),sk3))
    | spl0_1 ),
    inference(resolution,[],[f810,f188]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( tl(X0) = tl(cons(sk5(sk6),tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | spl0_1 ),
    inference(resolution,[],[f810,f75]) ).

fof(f1036,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = tl(cons(sk5(sk6),app(X0,X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl0_1 ),
    inference(resolution,[],[f810,f85]) ).

fof(f1035,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = tl(cons(sk5(sk6),cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | spl0_1 ),
    inference(resolution,[],[f810,f86]) ).

fof(f1034,plain,
    ( ! [X0,X1] : skaf42(X0,X1) = tl(cons(sk5(sk6),skaf42(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f53]) ).

fof(f1033,plain,
    ( ! [X0,X1] : skaf43(X0,X1) = tl(cons(sk5(sk6),skaf43(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f52]) ).

fof(f1032,plain,
    ( ! [X0,X1] : skaf45(X0,X1) = tl(cons(sk5(sk6),skaf45(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f51]) ).

fof(f1031,plain,
    ( ! [X0,X1] : skaf46(X0,X1) = tl(cons(sk5(sk6),skaf46(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f50]) ).

fof(f1030,plain,
    ( ! [X0,X1] : skaf47(X0,X1) = tl(cons(sk5(sk6),skaf47(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f49]) ).

fof(f1029,plain,
    ( ! [X0,X1] : skaf48(X0,X1) = tl(cons(sk5(sk6),skaf48(X0,X1)))
    | spl0_1 ),
    inference(resolution,[],[f810,f48]) ).

fof(f810,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(sk5(sk6),X0)) = X0 )
    | spl0_1 ),
    inference(resolution,[],[f96,f791]) ).

fof(f903,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf42(X0,X1))),
    inference(resolution,[],[f871,f53]) ).

fof(f902,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf43(X0,X1))),
    inference(resolution,[],[f871,f52]) ).

fof(f901,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf45(X0,X1))),
    inference(resolution,[],[f871,f51]) ).

fof(f1003,plain,
    ! [X0] :
      ( geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1002,f46]) ).

fof(f1002,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f997,f45]) ).

fof(f997,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f108,f88]) ).

fof(f1001,plain,
    ! [X0] :
      ( geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1000,f45]) ).

fof(f1000,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f996,f46]) ).

fof(f996,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/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f900,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf46(X0,X1))),
    inference(resolution,[],[f871,f50]) ).

fof(f899,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf47(X0,X1))),
    inference(resolution,[],[f871,f49]) ).

fof(f898,plain,
    ! [X0,X1] : sk6 = hd(cons(sk6,skaf48(X0,X1))),
    inference(resolution,[],[f871,f48]) ).

fof(f833,plain,
    ! [X0] : skaf51(X0) = tl(cons(sk6,skaf51(X0))),
    inference(resolution,[],[f811,f44]) ).

fof(f832,plain,
    ! [X0] : skaf52(X0) = tl(cons(sk6,skaf52(X0))),
    inference(resolution,[],[f811,f43]) ).

fof(f831,plain,
    ! [X0] : skaf53(X0) = tl(cons(sk6,skaf53(X0))),
    inference(resolution,[],[f811,f42]) ).

fof(f830,plain,
    ! [X0] : skaf56(X0) = tl(cons(sk6,skaf56(X0))),
    inference(resolution,[],[f811,f39]) ).

fof(f829,plain,
    ! [X0] : skaf57(X0) = tl(cons(sk6,skaf57(X0))),
    inference(resolution,[],[f811,f38]) ).

fof(f828,plain,
    ! [X0] : skaf58(X0) = tl(cons(sk6,skaf58(X0))),
    inference(resolution,[],[f811,f37]) ).

fof(f827,plain,
    ! [X0] : skaf61(X0) = tl(cons(sk6,skaf61(X0))),
    inference(resolution,[],[f811,f34]) ).

fof(f826,plain,
    ! [X0] : skaf62(X0) = tl(cons(sk6,skaf62(X0))),
    inference(resolution,[],[f811,f33]) ).

fof(f974,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f973,f41]) ).

fof(f973,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f968,f40]) ).

fof(f968,plain,
    ! [X0] :
      ( ~ ssItem(skaf55(X0))
      | ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f95]) ).

fof(f972,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f971,f40]) ).

fof(f971,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f967,f41]) ).

fof(f967,plain,
    ! [X0] :
      ( ~ ssItem(skaf54(X0))
      | ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f94]) ).

fof(f970,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f969,f31]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | ~ ssItem(skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f966,f30]) ).

fof(f966,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/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f825,plain,
    ! [X0] : skaf63(X0) = tl(cons(sk6,skaf63(X0))),
    inference(resolution,[],[f811,f32]) ).

fof(f824,plain,
    ! [X0] : skaf66(X0) = tl(cons(sk6,skaf66(X0))),
    inference(resolution,[],[f811,f29]) ).

fof(f823,plain,
    ! [X0] : skaf67(X0) = tl(cons(sk6,skaf67(X0))),
    inference(resolution,[],[f811,f28]) ).

fof(f822,plain,
    ! [X0] : skaf68(X0) = tl(cons(sk6,skaf68(X0))),
    inference(resolution,[],[f811,f27]) ).

fof(f821,plain,
    ! [X0] : skaf71(X0) = tl(cons(sk6,skaf71(X0))),
    inference(resolution,[],[f811,f24]) ).

fof(f820,plain,
    ! [X0] : skaf72(X0) = tl(cons(sk6,skaf72(X0))),
    inference(resolution,[],[f811,f23]) ).

fof(f819,plain,
    ! [X0] : skaf73(X0) = tl(cons(sk6,skaf73(X0))),
    inference(resolution,[],[f811,f22]) ).

fof(f818,plain,
    ! [X0] : skaf75(X0) = tl(cons(sk6,skaf75(X0))),
    inference(resolution,[],[f811,f20]) ).

fof(f817,plain,
    ! [X0] : skaf76(X0) = tl(cons(sk6,skaf76(X0))),
    inference(resolution,[],[f811,f19]) ).

fof(f816,plain,
    ! [X0] : skaf77(X0) = tl(cons(sk6,skaf77(X0))),
    inference(resolution,[],[f811,f18]) ).

fof(f815,plain,
    ! [X0] : skaf80(X0) = tl(cons(sk6,skaf80(X0))),
    inference(resolution,[],[f811,f15]) ).

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

fof(f814,plain,
    ! [X0] : skaf81(X0) = tl(cons(sk6,skaf81(X0))),
    inference(resolution,[],[f811,f14]) ).

fof(f813,plain,
    ! [X0] : skaf82(X0) = tl(cons(sk6,skaf82(X0))),
    inference(resolution,[],[f811,f13]) ).

fof(f897,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf51(X0))),
    inference(resolution,[],[f871,f44]) ).

fof(f896,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf52(X0))),
    inference(resolution,[],[f871,f43]) ).

fof(f895,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf53(X0))),
    inference(resolution,[],[f871,f42]) ).

fof(f894,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf56(X0))),
    inference(resolution,[],[f871,f39]) ).

fof(f893,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf57(X0))),
    inference(resolution,[],[f871,f38]) ).

fof(f892,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf58(X0))),
    inference(resolution,[],[f871,f37]) ).

fof(f891,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf61(X0))),
    inference(resolution,[],[f871,f34]) ).

fof(f890,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf62(X0))),
    inference(resolution,[],[f871,f33]) ).

fof(f889,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf63(X0))),
    inference(resolution,[],[f871,f32]) ).

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

fof(f888,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf66(X0))),
    inference(resolution,[],[f871,f29]) ).

fof(f887,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf67(X0))),
    inference(resolution,[],[f871,f28]) ).

fof(f886,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf68(X0))),
    inference(resolution,[],[f871,f27]) ).

fof(f885,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf71(X0))),
    inference(resolution,[],[f871,f24]) ).

fof(f884,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf72(X0))),
    inference(resolution,[],[f871,f23]) ).

fof(f883,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf73(X0))),
    inference(resolution,[],[f871,f22]) ).

fof(f882,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf75(X0))),
    inference(resolution,[],[f871,f20]) ).

fof(f881,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf76(X0))),
    inference(resolution,[],[f871,f19]) ).

fof(f880,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf77(X0))),
    inference(resolution,[],[f871,f18]) ).

fof(f879,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf80(X0))),
    inference(resolution,[],[f871,f15]) ).

fof(f878,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf81(X0))),
    inference(resolution,[],[f871,f14]) ).

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

fof(f877,plain,
    ! [X0] : sk6 = hd(cons(sk6,skaf82(X0))),
    inference(resolution,[],[f871,f13]) ).

fof(f908,plain,
    sk6 = hd(cons(sk6,sk2)),
    inference(resolution,[],[f871,f187]) ).

fof(f907,plain,
    sk6 = hd(cons(sk6,sk1)),
    inference(resolution,[],[f871,f186]) ).

fof(f911,plain,
    ( sk6 = hd(sk1)
    | spl0_1 ),
    inference(forward_demodulation,[],[f876,f268]) ).

fof(f913,plain,
    sk6 = hd(cons(sk6,sk2)),
    inference(forward_demodulation,[],[f910,f190]) ).

fof(f910,plain,
    sk6 = hd(cons(sk6,sk4)),
    inference(resolution,[],[f871,f189]) ).

fof(f912,plain,
    sk6 = hd(cons(sk6,sk1)),
    inference(forward_demodulation,[],[f909,f191]) ).

fof(f909,plain,
    sk6 = hd(cons(sk6,sk3)),
    inference(resolution,[],[f871,f188]) ).

fof(f906,plain,
    ! [X0] :
      ( sk6 = hd(cons(sk6,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f871,f75]) ).

fof(f905,plain,
    ! [X0,X1] :
      ( sk6 = hd(cons(sk6,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f871,f85]) ).

fof(f904,plain,
    ! [X0,X1] :
      ( sk6 = hd(cons(sk6,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f871,f86]) ).

fof(f871,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk6 = hd(cons(sk6,X0)) ),
    inference(resolution,[],[f97,f243]) ).

fof(f844,plain,
    sk2 = tl(cons(sk6,sk2)),
    inference(resolution,[],[f811,f187]) ).

fof(f843,plain,
    sk1 = tl(cons(sk6,sk1)),
    inference(resolution,[],[f811,f186]) ).

fof(f869,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | hd(X1) = hd(cons(hd(X1),X0))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f97,f76]) ).

fof(f868,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
    inference(resolution,[],[f97,f47]) ).

fof(f867,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
    inference(resolution,[],[f97,f46]) ).

fof(f866,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
    inference(resolution,[],[f97,f45]) ).

fof(f865,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
    inference(resolution,[],[f97,f41]) ).

fof(f864,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
    inference(resolution,[],[f97,f40]) ).

fof(f863,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
    inference(resolution,[],[f97,f36]) ).

fof(f862,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
    inference(resolution,[],[f97,f35]) ).

fof(f861,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
    inference(resolution,[],[f97,f31]) ).

fof(f860,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
    inference(resolution,[],[f97,f30]) ).

fof(f859,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
    inference(resolution,[],[f97,f26]) ).

fof(f858,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
    inference(resolution,[],[f97,f25]) ).

fof(f857,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
    inference(resolution,[],[f97,f21]) ).

fof(f856,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
    inference(resolution,[],[f97,f17]) ).

fof(f855,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
    inference(resolution,[],[f97,f16]) ).

fof(f854,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
    inference(resolution,[],[f97,f12]) ).

fof(f853,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac2 = hd(cons(skac2,X0)) ),
    inference(resolution,[],[f97,f10]) ).

fof(f852,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac3 = hd(cons(skac3,X0)) ),
    inference(resolution,[],[f97,f9]) ).

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

fof(f847,plain,
    ( nil = tl(sk1)
    | spl0_1 ),
    inference(forward_demodulation,[],[f812,f268]) ).

fof(f849,plain,
    sk2 = tl(cons(sk6,sk2)),
    inference(forward_demodulation,[],[f846,f190]) ).

fof(f846,plain,
    sk4 = tl(cons(sk6,sk4)),
    inference(resolution,[],[f811,f189]) ).

fof(f848,plain,
    sk1 = tl(cons(sk6,sk1)),
    inference(forward_demodulation,[],[f845,f191]) ).

fof(f845,plain,
    sk3 = tl(cons(sk6,sk3)),
    inference(resolution,[],[f811,f188]) ).

fof(f842,plain,
    ! [X0] :
      ( tl(X0) = tl(cons(sk6,tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f811,f75]) ).

fof(f841,plain,
    ! [X0,X1] :
      ( app(X0,X1) = tl(cons(sk6,app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f811,f85]) ).

fof(f840,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = tl(cons(sk6,cons(X0,X1)))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f811,f86]) ).

fof(f811,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(sk6,X0)) = X0 ),
    inference(resolution,[],[f96,f243]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(hd(X1),X0)) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f96,f76]) ).

fof(f808,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf44(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f47]) ).

fof(f807,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf49(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f46]) ).

fof(f806,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf50(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f45]) ).

fof(f805,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf54(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f41]) ).

fof(f804,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf55(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f40]) ).

fof(f803,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf59(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f36]) ).

fof(f802,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf60(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f35]) ).

fof(f801,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf64(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f31]) ).

fof(f800,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf65(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f30]) ).

fof(f799,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf69(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f26]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf70(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f25]) ).

fof(f797,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf74(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f21]) ).

fof(f796,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf78(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f17]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf79(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f16]) ).

fof(f794,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf83(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f12]) ).

fof(f793,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac2,X0)) = X0 ),
    inference(resolution,[],[f96,f10]) ).

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

fof(f192,axiom,
    ! [X6] :
      ( sk1 != cons(X6,nil)
      | ~ memberP(sk2,X6)
      | ssItem(sk5(X6))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f231,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,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/sandbox/benchmark/theBenchmark.p',clause138) ).

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

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

fof(f680,plain,
    ( ! [X6] :
        ( ~ memberP(sk2,X6)
        | ~ ssItem(X6)
        | ~ leq(sk6,X6)
        | sk6 = X6 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f679,f247]) ).

fof(f719,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,X0),nil) ),
    inference(resolution,[],[f86,f73]) ).

fof(f718,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/sandbox/benchmark/theBenchmark.p',clause86) ).

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

fof(f78,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

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

fof(f347,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
    inference(resolution,[],[f74,f53]) ).

fof(f346,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
    inference(resolution,[],[f74,f52]) ).

fof(f345,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
    inference(resolution,[],[f74,f51]) ).

fof(f344,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
    inference(resolution,[],[f74,f50]) ).

fof(f343,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
    inference(resolution,[],[f74,f49]) ).

fof(f342,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
    inference(resolution,[],[f74,f48]) ).

fof(f313,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
    inference(resolution,[],[f73,f53]) ).

fof(f312,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
    inference(resolution,[],[f73,f52]) ).

fof(f311,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
    inference(resolution,[],[f73,f51]) ).

fof(f310,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
    inference(resolution,[],[f73,f50]) ).

fof(f309,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
    inference(resolution,[],[f73,f49]) ).

fof(f308,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
    inference(resolution,[],[f73,f48]) ).

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

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

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

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

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

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

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

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

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

fof(f372,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(app(X0,X1),nil) ),
    inference(resolution,[],[f85,f73]) ).

fof(f371,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/sandbox/benchmark/theBenchmark.p',clause85) ).

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

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

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

fof(f341,plain,
    ! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
    inference(resolution,[],[f74,f44]) ).

fof(f340,plain,
    ! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
    inference(resolution,[],[f74,f43]) ).

fof(f339,plain,
    ! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
    inference(resolution,[],[f74,f42]) ).

fof(f338,plain,
    ! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
    inference(resolution,[],[f74,f39]) ).

fof(f337,plain,
    ! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
    inference(resolution,[],[f74,f38]) ).

fof(f336,plain,
    ! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
    inference(resolution,[],[f74,f37]) ).

fof(f335,plain,
    ! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
    inference(resolution,[],[f74,f34]) ).

fof(f334,plain,
    ! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
    inference(resolution,[],[f74,f33]) ).

fof(f333,plain,
    ! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
    inference(resolution,[],[f74,f32]) ).

fof(f332,plain,
    ! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
    inference(resolution,[],[f74,f29]) ).

fof(f331,plain,
    ! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
    inference(resolution,[],[f74,f28]) ).

fof(f330,plain,
    ! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
    inference(resolution,[],[f74,f27]) ).

fof(f329,plain,
    ! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
    inference(resolution,[],[f74,f24]) ).

fof(f328,plain,
    ! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
    inference(resolution,[],[f74,f23]) ).

fof(f327,plain,
    ! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
    inference(resolution,[],[f74,f22]) ).

fof(f326,plain,
    ! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
    inference(resolution,[],[f74,f20]) ).

fof(f325,plain,
    ! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
    inference(resolution,[],[f74,f19]) ).

fof(f324,plain,
    ! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
    inference(resolution,[],[f74,f18]) ).

fof(f323,plain,
    ! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
    inference(resolution,[],[f74,f15]) ).

fof(f322,plain,
    ! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
    inference(resolution,[],[f74,f14]) ).

fof(f321,plain,
    ! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
    inference(resolution,[],[f74,f13]) ).

fof(f307,plain,
    ! [X0] : skaf51(X0) = app(skaf51(X0),nil),
    inference(resolution,[],[f73,f44]) ).

fof(f306,plain,
    ! [X0] : skaf52(X0) = app(skaf52(X0),nil),
    inference(resolution,[],[f73,f43]) ).

fof(f305,plain,
    ! [X0] : skaf53(X0) = app(skaf53(X0),nil),
    inference(resolution,[],[f73,f42]) ).

fof(f304,plain,
    ! [X0] : skaf56(X0) = app(skaf56(X0),nil),
    inference(resolution,[],[f73,f39]) ).

fof(f303,plain,
    ! [X0] : skaf57(X0) = app(skaf57(X0),nil),
    inference(resolution,[],[f73,f38]) ).

fof(f302,plain,
    ! [X0] : skaf58(X0) = app(skaf58(X0),nil),
    inference(resolution,[],[f73,f37]) ).

fof(f301,plain,
    ! [X0] : skaf61(X0) = app(skaf61(X0),nil),
    inference(resolution,[],[f73,f34]) ).

fof(f300,plain,
    ! [X0] : skaf62(X0) = app(skaf62(X0),nil),
    inference(resolution,[],[f73,f33]) ).

fof(f299,plain,
    ! [X0] : skaf63(X0) = app(skaf63(X0),nil),
    inference(resolution,[],[f73,f32]) ).

fof(f298,plain,
    ! [X0] : skaf66(X0) = app(skaf66(X0),nil),
    inference(resolution,[],[f73,f29]) ).

fof(f297,plain,
    ! [X0] : skaf67(X0) = app(skaf67(X0),nil),
    inference(resolution,[],[f73,f28]) ).

fof(f296,plain,
    ! [X0] : skaf68(X0) = app(skaf68(X0),nil),
    inference(resolution,[],[f73,f27]) ).

fof(f295,plain,
    ! [X0] : skaf71(X0) = app(skaf71(X0),nil),
    inference(resolution,[],[f73,f24]) ).

fof(f294,plain,
    ! [X0] : skaf72(X0) = app(skaf72(X0),nil),
    inference(resolution,[],[f73,f23]) ).

fof(f293,plain,
    ! [X0] : skaf73(X0) = app(skaf73(X0),nil),
    inference(resolution,[],[f73,f22]) ).

fof(f292,plain,
    ! [X0] : skaf75(X0) = app(skaf75(X0),nil),
    inference(resolution,[],[f73,f20]) ).

fof(f355,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f75,f73]) ).

fof(f354,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/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f291,plain,
    ! [X0] : skaf76(X0) = app(skaf76(X0),nil),
    inference(resolution,[],[f73,f19]) ).

fof(f290,plain,
    ! [X0] : skaf77(X0) = app(skaf77(X0),nil),
    inference(resolution,[],[f73,f18]) ).

fof(f289,plain,
    ! [X0] : skaf80(X0) = app(skaf80(X0),nil),
    inference(resolution,[],[f73,f15]) ).

fof(f288,plain,
    ! [X0] : skaf81(X0) = app(skaf81(X0),nil),
    inference(resolution,[],[f73,f14]) ).

fof(f287,plain,
    ! [X0] : skaf82(X0) = app(skaf82(X0),nil),
    inference(resolution,[],[f73,f13]) ).

fof(f349,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[],[f74,f187]) ).

fof(f348,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f186]) ).

fof(f353,plain,
    sk2 = app(nil,sk2),
    inference(forward_demodulation,[],[f351,f190]) ).

fof(f351,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f189]) ).

fof(f352,plain,
    sk1 = app(nil,sk1),
    inference(forward_demodulation,[],[f350,f191]) ).

fof(f350,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

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

fof(f315,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f314,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f319,plain,
    sk2 = app(sk2,nil),
    inference(forward_demodulation,[],[f317,f190]) ).

fof(f317,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f189]) ).

fof(f318,plain,
    sk1 = app(sk1,nil),
    inference(forward_demodulation,[],[f316,f191]) ).

fof(f316,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f188]) ).

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

fof(f277,plain,
    ( duplicatefreeP(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f270,f243]) ).

fof(f270,plain,
    ( duplicatefreeP(sk1)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f65,f268]) ).

fof(f268,plain,
    ( sk1 = cons(sk6,nil)
    | spl0_1 ),
    inference(forward_demodulation,[],[f267,f191]) ).

fof(f267,plain,
    ( sk3 = cons(sk6,nil)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f266,f247]) ).

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

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

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

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

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

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

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

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

fof(f238,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f233,f206,f234,f207,f235,f82,f80,f84,f76,f78,f77,f75,f109,f104,f232,f110,f105,f107,f114,f106,f103,f108,f157,f210,f211,f236,f212,f237,f169,f149,f131,f168,f132,f119,f118,f123,f133,f231,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f215,f216,f230]) ).

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

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

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

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

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

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

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

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

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

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

fof(f196,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

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

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

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

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

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

fof(f243,plain,
    ssItem(sk6),
    inference(global_subsumption,[],[f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f206,f207,f82,f80,f84,f76,f78,f77,f75,f109,f104,f232,f110,f105,f107,f114,f106,f103,f108,f157,f210,f211,f236,f212,f237,f169,f149,f131,f168,f132,f119,f118,f123,f133,f231,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f215,f216,f230,f238,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f219,f158,f172,f220,f152,f153,f154,f221,f229,f177,f223,f224,f225,f226,f227,f228,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f233,f234,f235,f241,f242]) ).

fof(f242,plain,
    ( nil = sk1
    | ssItem(sk6) ),
    inference(forward_demodulation,[],[f198,f191]) ).

fof(f241,plain,
    ( nil = sk2
    | ssItem(sk6) ),
    inference(forward_demodulation,[],[f197,f190]) ).

fof(f235,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f233,f206,f234,f207]) ).

fof(f234,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f233,f206]) ).

fof(f233,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f228,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/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f227,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/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f226,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/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f225,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/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f224,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/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f223,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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f229,plain,
    ! [X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(duplicate_literal_removal,[],[f222]) ).

fof(f222,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/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f221,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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f220,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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f219,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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause176) ).

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/sandbox/benchmark/theBenchmark.p',clause171) ).

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/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f156,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause160) ).

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

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

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

fof(f230,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f217]) ).

fof(f217,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/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f216,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/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f215,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/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | X1 = X2
      | app(X0,X1) != app(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | X0 = X2
      | app(X0,X1) != app(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f137,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | frontsegP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause134) ).

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

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

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | memberP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1)
      | memberP(app(X2,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

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

fof(f122,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | lt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

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

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

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | memberP(cons(X2,X0),X1) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | hd(app(X1,X0)) = hd(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

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

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

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f237,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | totalorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f233,f206,f234,f207,f235,f82,f80,f84,f76,f78,f77,f75,f109,f104,f232,f110,f105,f107,f114,f106,f103,f108,f157,f210,f211,f236,f212]) ).

fof(f212,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/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f236,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f188,f187,f189,f191,f190,f198,f197,f196,f203,f202,f200,f199,f192,f195,f193,f194,f204,f201,f11,f1,f2,f7,f6,f5,f3,f4,f10,f9,f8,f54,f12,f47,f16,f17,f21,f25,f26,f31,f30,f35,f36,f40,f41,f45,f46,f44,f43,f23,f24,f22,f27,f29,f42,f13,f28,f39,f38,f37,f34,f14,f15,f18,f19,f33,f32,f20,f53,f48,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f68,f69,f70,f67,f66,f58,f57,f56,f61,f60,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f205,f233,f206,f234,f207,f235,f82,f80,f84,f76,f78,f77,f75,f109,f104,f232,f110,f105,f107,f114,f106,f103,f108,f157,f210,f211]) ).

fof(f211,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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f232,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,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/sandbox/benchmark/theBenchmark.p',clause111) ).

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

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

fof(f77,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f207,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | frontsegP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f206,plain,
    ( ~ ssList(nil)
    | rearsegP(nil,nil) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | rearsegP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f205,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause164) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause165) ).

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/sandbox/benchmark/theBenchmark.p',clause167) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause142) ).

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

fof(f201,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk4,X6)
      | ~ leq(sk6,X6)
      | sk6 = X6
      | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f204,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk4,X6)
      | ~ leq(sk6,X6)
      | sk6 = X6
      | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f199,axiom,
    ( nil = sk4
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f200,axiom,
    ( nil = sk4
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f202,axiom,
    ( nil = sk3
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f203,axiom,
    ( nil = sk3
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f197,axiom,
    ( ssItem(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f198,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f1338,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1336,f243]) ).

fof(f1336,plain,
    ( ~ ssItem(sk6)
    | spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1335,f1190]) ).

fof(f1190,plain,
    ( sk6 = sk5(sk6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1188,plain,
    ( spl0_7
  <=> sk6 = sk5(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1335,plain,
    ( sk6 != sk5(sk6)
    | ~ ssItem(sk6)
    | spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1334,f255]) ).

fof(f1334,plain,
    ( ~ memberP(sk2,sk6)
    | sk6 != sk5(sk6)
    | ~ ssItem(sk6)
    | spl0_2 ),
    inference(trivial_inequality_removal,[],[f1331]) ).

fof(f1331,plain,
    ( sk1 != sk1
    | ~ memberP(sk2,sk6)
    | sk6 != sk5(sk6)
    | ~ ssItem(sk6)
    | spl0_2 ),
    inference(superposition,[],[f195,f1212]) ).

fof(f1212,plain,
    ( sk1 = cons(sk6,nil)
    | spl0_2 ),
    inference(forward_demodulation,[],[f284,f191]) ).

fof(f284,plain,
    ( sk3 = cons(sk6,nil)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f283,f251]) ).

fof(f251,plain,
    ( nil != sk1
    | spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f1228,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1227,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1226,f243]) ).

fof(f1226,plain,
    ( ~ ssItem(sk6)
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f1224,f71]) ).

fof(f1224,plain,
    ( memberP(nil,sk6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f258,f246]) ).

fof(f246,plain,
    ( nil = sk2
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f258,plain,
    ( memberP(sk2,sk6)
    | spl0_2 ),
    inference(forward_demodulation,[],[f257,f190]) ).

fof(f257,plain,
    ( memberP(sk4,sk6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f256,f251]) ).

fof(f256,plain,
    ( nil = sk1
    | memberP(sk4,sk6) ),
    inference(forward_demodulation,[],[f203,f191]) ).

fof(f1210,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1208,f243]) ).

fof(f1208,plain,
    ( ~ ssItem(sk6)
    | spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1207,f1194]) ).

fof(f1194,plain,
    ( ~ leq(sk6,sk5(sk6))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1192,plain,
    ( spl0_8
  <=> leq(sk6,sk5(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1207,plain,
    ( leq(sk6,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1206,f255]) ).

fof(f1206,plain,
    ( ~ memberP(sk2,sk6)
    | leq(sk6,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f1203]) ).

fof(f1203,plain,
    ( sk1 != sk1
    | ~ memberP(sk2,sk6)
    | leq(sk6,sk5(sk6))
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(superposition,[],[f194,f268]) ).

fof(f1195,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1186,f245,f1192,f1188]) ).

fof(f1134,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1123,f245,f1131,f1127]) ).

fof(f1127,plain,
    ( spl0_5
  <=> ssItem(sk5(skaf44(sk1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1131,plain,
    ( spl0_6
  <=> memberP(sk2,skaf44(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f677,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f676]) ).

fof(f676,plain,
    ( $false
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f675,f665]) ).

fof(f665,plain,
    ( sk6 != sk5(sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f664,f255]) ).

fof(f664,plain,
    ( sk6 != sk5(sk6)
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f661]) ).

fof(f661,plain,
    ( sk1 != sk1
    | sk6 != sk5(sk6)
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f660,f268]) ).

fof(f660,plain,
    ( ! [X6] :
        ( sk1 != cons(X6,nil)
        | sk5(X6) != X6
        | ~ memberP(sk2,X6) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f195,f261]) ).

fof(f261,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_3
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f675,plain,
    ( sk6 = sk5(sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f674,f655]) ).

fof(f655,plain,
    ( leq(sk6,sk5(sk6))
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f654,f255]) ).

fof(f654,plain,
    ( leq(sk6,sk5(sk6))
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f651]) ).

fof(f651,plain,
    ( sk1 != sk1
    | leq(sk6,sk5(sk6))
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f648,f268]) ).

fof(f648,plain,
    ( ! [X6] :
        ( sk1 != cons(X6,nil)
        | leq(X6,sk5(X6))
        | ~ memberP(sk2,X6) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f194,f261]) ).

fof(f674,plain,
    ( ~ leq(sk6,sk5(sk6))
    | sk6 = sk5(sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f672,f602]) ).

fof(f602,plain,
    ( memberP(sk2,sk5(sk6))
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f601,f255]) ).

fof(f601,plain,
    ( memberP(sk2,sk5(sk6))
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f598]) ).

fof(f598,plain,
    ( sk1 != sk1
    | memberP(sk2,sk5(sk6))
    | ~ memberP(sk2,sk6)
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f597,f268]) ).

fof(f597,plain,
    ( ! [X6] :
        ( sk1 != cons(X6,nil)
        | memberP(sk2,sk5(X6))
        | ~ memberP(sk2,X6) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f193,f261]) ).

fof(f672,plain,
    ( ! [X6] :
        ( ~ memberP(sk2,X6)
        | ~ leq(sk6,X6)
        | sk6 = X6 )
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f671,f247]) ).

fof(f671,plain,
    ( ! [X6] :
        ( nil = sk2
        | ~ memberP(sk2,X6)
        | ~ leq(sk6,X6)
        | sk6 = X6 )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f670,f190]) ).

fof(f670,plain,
    ( ! [X6] :
        ( ~ memberP(sk2,X6)
        | ~ leq(sk6,X6)
        | sk6 = X6
        | nil = sk4 )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f669,f190]) ).

fof(f669,plain,
    ( ! [X6] :
        ( ~ memberP(sk4,X6)
        | ~ leq(sk6,X6)
        | sk6 = X6
        | nil = sk4 )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f201,f261]) ).

fof(f265,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f72,f263,f260]) ).

fof(f263,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f252,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f249,f245]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n019.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:35:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (1315)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (1318)WARNING: value z3 for option sas not known
% 0.22/0.39  % (1316)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39  % (1317)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39  % (1319)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39  % (1318)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)
% 0.22/0.39  % (1320)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)
% 0.22/0.39  % (1321)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)
% 0.22/0.39  % (1322)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)
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.44  % (1318)First to succeed.
% 0.22/0.44  TRYING [1]
% 0.22/0.45  % (1318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1315"
% 0.22/0.45  % (1318)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (1318)------------------------------
% 0.22/0.46  % (1318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46  % (1318)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (1318)Memory used [KB]: 1657
% 0.22/0.46  % (1318)Time elapsed: 0.062 s
% 0.22/0.46  % (1318)Instructions burned: 111 (million)
% 0.22/0.46  % (1315)Success in time 0.086 s
%------------------------------------------------------------------------------