TSTP Solution File: SWC076-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC076-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:43:28 EDT 2024
% Result : Unsatisfiable 2.11s 0.65s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 248
% Syntax : Number of formulae : 745 ( 145 unt; 0 def)
% Number of atoms : 2107 ( 526 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2414 (1052 ~;1312 |; 0 &)
% ( 50 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 51 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 710 ( 710 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7179,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f256,f630,f634,f654,f656,f663,f665,f727,f740,f833,f837,f845,f856,f860,f869,f873,f915,f919,f946,f1286,f1290,f1317,f1321,f1819,f1832,f1845,f1878,f1887,f1896,f1978,f1982,f2035,f2037,f2167,f2171,f2192,f2230,f2240,f2354,f7178]) ).
fof(f7178,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f7177]) ).
fof(f7177,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f7176,f246]) ).
fof(f246,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f7176,plain,
nil = sk1,
inference(subsumption_resolution,[],[f7175,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f7175,plain,
( ~ ssList(sk1)
| nil = sk1 ),
inference(duplicate_literal_removal,[],[f7174]) ).
fof(f7174,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ ssList(sk1) ),
inference(resolution,[],[f7169,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f7169,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(duplicate_literal_removal,[],[f7162]) ).
fof(f7162,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| nil = X0 ),
inference(resolution,[],[f7158,f499]) ).
fof(f499,plain,
! [X0] :
( ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f498,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f498,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0) ),
inference(resolution,[],[f100,f192]) ).
fof(f192,axiom,
! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f7158,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0) ),
inference(subsumption_resolution,[],[f7157,f194]) ).
fof(f194,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f7157,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f7156,f193]) ).
fof(f193,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f7156,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ segmentP(sk1,X0)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f6989,f186]) ).
fof(f6989,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ segmentP(sk1,X0)
| ~ ssList(sk6) ),
inference(superposition,[],[f172,f249]) ).
fof(f249,plain,
sk2 = app(app(sk5,sk1),sk6),
inference(forward_demodulation,[],[f248,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f248,plain,
sk4 = app(app(sk5,sk1),sk6),
inference(forward_demodulation,[],[f195,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f195,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f2354,plain,
( spl0_49
| ~ spl0_50
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f2321,f2160,f2351,f2347]) ).
fof(f2347,plain,
( spl0_49
<=> sk2 = app(sk5,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2351,plain,
( spl0_50
<=> frontsegP(app(sk5,sk1),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2160,plain,
( spl0_40
<=> ssList(app(sk5,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f2321,plain,
( ~ frontsegP(app(sk5,sk1),sk2)
| sk2 = app(sk5,sk1)
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f2320,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f2320,plain,
( ~ ssList(sk2)
| ~ frontsegP(app(sk5,sk1),sk2)
| sk2 = app(sk5,sk1)
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f2319,f2161]) ).
fof(f2161,plain,
( ssList(app(sk5,sk1))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2319,plain,
( ~ ssList(app(sk5,sk1))
| ~ ssList(sk2)
| ~ frontsegP(app(sk5,sk1),sk2)
| sk2 = app(sk5,sk1)
| ~ spl0_40 ),
inference(resolution,[],[f2318,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f2318,plain,
( frontsegP(sk2,app(sk5,sk1))
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f2317,f194]) ).
fof(f2317,plain,
( frontsegP(sk2,app(sk5,sk1))
| ~ ssList(sk6)
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f2305,f2161]) ).
fof(f2305,plain,
( frontsegP(sk2,app(sk5,sk1))
| ~ ssList(app(sk5,sk1))
| ~ ssList(sk6) ),
inference(superposition,[],[f2203,f249]) ).
fof(f2203,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f212,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f212,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(f2240,plain,
( spl0_47
| ~ spl0_48
| spl0_10
| spl0_44 ),
inference(avatar_split_clause,[],[f2231,f2219,f737,f2237,f2233]) ).
fof(f2233,plain,
( spl0_47
<=> totalorderedP(skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2237,plain,
( spl0_48
<=> totalorderedP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f737,plain,
( spl0_10
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2219,plain,
( spl0_44
<=> nil = skaf82(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2231,plain,
( ~ totalorderedP(sk6)
| totalorderedP(skaf82(sk6))
| spl0_10
| spl0_44 ),
inference(subsumption_resolution,[],[f2072,f2220]) ).
fof(f2220,plain,
( nil != skaf82(sk6)
| spl0_44 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2072,plain,
( ~ totalorderedP(sk6)
| totalorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| spl0_10 ),
inference(subsumption_resolution,[],[f2071,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f2071,plain,
( ~ totalorderedP(sk6)
| totalorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| ~ ssItem(skaf83(sk6))
| spl0_10 ),
inference(subsumption_resolution,[],[f2064,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f2064,plain,
( ~ totalorderedP(sk6)
| ~ ssList(skaf82(sk6))
| totalorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| ~ ssItem(skaf83(sk6))
| spl0_10 ),
inference(superposition,[],[f125,f1985]) ).
fof(f1985,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| spl0_10 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f77,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f123,f133,f139,f122,f141,f140,f134,f135,f136,f137,f151,f150,f211,f212,f226,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f200,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f636,f595,f238,f78,f76,f86,f712,f713,f714,f599,f98,f600,f99,f227,f96,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f97,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f738,f102,f103,f105,f106,f107,f1182,f1184,f1186,f108,f1216,f1218,f110,f1242,f114,f206,f1299,f109,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1401,f1391,f1392,f118,f119,f120,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f121,f1734,f1737,f1739,f1741,f124,f125,f126,f127,f128,f129,f130,f1961,f1965,f1968,f1399,f1400]) ).
fof(f1400,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
inference(resolution,[],[f109,f194]) ).
fof(f1399,plain,
( nil = sk5
| sk5 = cons(skaf83(sk5),skaf82(sk5)) ),
inference(resolution,[],[f109,f193]) ).
fof(f1968,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1967,f87]) ).
fof(f1967,plain,
! [X0] :
( ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1966,f46]) ).
fof(f1966,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1960,f45]) ).
fof(f1960,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| ~ leq(skaf50(X0),skaf49(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f88]) ).
fof(f1965,plain,
! [X0] :
( skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1964,f88]) ).
fof(f1964,plain,
! [X0] :
( ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1963,f45]) ).
fof(f1963,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1959,f46]) ).
fof(f1959,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0))
| skaf50(X0) = skaf49(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f130,f87]) ).
fof(f1961,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ geq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1958,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
inference(resolution,[],[f130,f107]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f126,axiom,
! [X0,X1] :
( ~ geq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f124,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1741,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1740,f35]) ).
fof(f1740,plain,
! [X0] :
( ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1732,f36]) ).
fof(f1732,plain,
! [X0] :
( ~ ssItem(skaf59(X0))
| ~ leq(skaf59(X0),skaf60(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f93]) ).
fof(f1739,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1738,f36]) ).
fof(f1738,plain,
! [X0] :
( ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1731,f35]) ).
fof(f1731,plain,
! [X0] :
( ~ ssItem(skaf60(X0))
| ~ leq(skaf60(X0),skaf59(X0))
| skaf60(X0) = skaf59(X0)
| ~ ssItem(skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f92]) ).
fof(f1737,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1736,f25]) ).
fof(f1736,plain,
! [X0] :
( ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1730,f26]) ).
fof(f1730,plain,
! [X0] :
( ~ ssItem(skaf69(X0))
| ~ leq(skaf69(X0),skaf70(X0))
| skaf70(X0) = skaf69(X0)
| ~ ssItem(skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f121,f90]) ).
fof(f1734,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1728]) ).
fof(f1728,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(resolution,[],[f121,f114]) ).
fof(f121,axiom,
! [X0,X1] :
( lt(X0,X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f1664,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f120,f76]) ).
fof(f1663,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
inference(resolution,[],[f120,f47]) ).
fof(f1662,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
inference(resolution,[],[f120,f46]) ).
fof(f1661,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
inference(resolution,[],[f120,f45]) ).
fof(f1660,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
inference(resolution,[],[f120,f41]) ).
fof(f1659,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
inference(resolution,[],[f120,f40]) ).
fof(f1658,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
inference(resolution,[],[f120,f36]) ).
fof(f1657,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
inference(resolution,[],[f120,f35]) ).
fof(f1656,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
inference(resolution,[],[f120,f31]) ).
fof(f1655,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
inference(resolution,[],[f120,f30]) ).
fof(f1654,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
inference(resolution,[],[f120,f26]) ).
fof(f1653,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
inference(resolution,[],[f120,f25]) ).
fof(f1652,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
inference(resolution,[],[f120,f21]) ).
fof(f1651,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
inference(resolution,[],[f120,f17]) ).
fof(f1650,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
inference(resolution,[],[f120,f16]) ).
fof(f1649,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
inference(resolution,[],[f120,f12]) ).
fof(f1648,plain,
! [X0] :
( ~ ssList(X0)
| app(cons(skac2,nil),X0) = cons(skac2,X0) ),
inference(resolution,[],[f120,f10]) ).
fof(f1647,plain,
! [X0] :
( ~ ssList(X0)
| app(cons(skac3,nil),X0) = cons(skac3,X0) ),
inference(resolution,[],[f120,f9]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f1392,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f109,f75]) ).
fof(f1391,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f109,f85]) ).
fof(f1401,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f1390,f98]) ).
fof(f1390,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f109,f86]) ).
fof(f1389,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
inference(resolution,[],[f109,f53]) ).
fof(f1388,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
inference(resolution,[],[f109,f52]) ).
fof(f1387,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
inference(resolution,[],[f109,f51]) ).
fof(f1386,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
inference(resolution,[],[f109,f50]) ).
fof(f1385,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
inference(resolution,[],[f109,f49]) ).
fof(f1384,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
inference(resolution,[],[f109,f48]) ).
fof(f1383,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
inference(resolution,[],[f109,f44]) ).
fof(f1382,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
inference(resolution,[],[f109,f43]) ).
fof(f1381,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
inference(resolution,[],[f109,f42]) ).
fof(f1380,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
inference(resolution,[],[f109,f39]) ).
fof(f1379,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
inference(resolution,[],[f109,f38]) ).
fof(f1378,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
inference(resolution,[],[f109,f37]) ).
fof(f1377,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
inference(resolution,[],[f109,f34]) ).
fof(f1376,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
inference(resolution,[],[f109,f33]) ).
fof(f1375,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
inference(resolution,[],[f109,f32]) ).
fof(f1374,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
inference(resolution,[],[f109,f29]) ).
fof(f1373,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
inference(resolution,[],[f109,f28]) ).
fof(f1372,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
inference(resolution,[],[f109,f27]) ).
fof(f1371,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
inference(resolution,[],[f109,f24]) ).
fof(f1370,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
inference(resolution,[],[f109,f23]) ).
fof(f1369,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
inference(resolution,[],[f109,f22]) ).
fof(f1368,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
inference(resolution,[],[f109,f20]) ).
fof(f1367,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
inference(resolution,[],[f109,f19]) ).
fof(f1366,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
inference(resolution,[],[f109,f18]) ).
fof(f1365,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
inference(resolution,[],[f109,f15]) ).
fof(f1364,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
inference(resolution,[],[f109,f14]) ).
fof(f1363,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
inference(resolution,[],[f109,f13]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f1299,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1298]) ).
fof(f1298,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f206,f101]) ).
fof(f206,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(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f1242,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f1241]) ).
fof(f1241,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(f1218,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1217,f46]) ).
fof(f1217,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1212,f45]) ).
fof(f1212,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f1216,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1215,f45]) ).
fof(f1215,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1211,f46]) ).
fof(f1211,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(f1186,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1185,f41]) ).
fof(f1185,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1180,f40]) ).
fof(f1180,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f1184,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1183,f40]) ).
fof(f1183,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1179,f41]) ).
fof(f1179,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f1182,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1181,f31]) ).
fof(f1181,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1178,f30]) ).
fof(f1178,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(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f738,plain,
( nil != sk6
| spl0_10 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f965,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f964,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f963,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f962,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f961,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f960,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f959,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f958,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f957,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f956,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f955,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f954,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f953,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f952,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f951,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f950,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f949,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f948,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(f900,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f899,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f898,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f897,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f896,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f895,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f894,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f893,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f892,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f891,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f890,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f889,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f888,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f887,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f886,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f885,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f884,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f883,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f227,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,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(f600,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6)) ),
inference(resolution,[],[f104,f194]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f599,plain,
( nil = sk5
| sk5 = cons(hd(sk5),tl(sk5)) ),
inference(resolution,[],[f104,f193]) ).
fof(f714,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f713,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f712,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = cons(X1,X0)
| cons(X1,X0) = cons(hd(cons(X1,X0)),tl(cons(X1,X0))) ),
inference(resolution,[],[f86,f104]) ).
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(f238,plain,
( nil != sk1
| nil = sk4 ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f595,plain,
( nil = sk1
| sk1 = cons(hd(sk1),tl(sk1)) ),
inference(resolution,[],[f104,f186]) ).
fof(f636,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| nil = sk1 ),
inference(forward_demodulation,[],[f604,f191]) ).
fof(f604,plain,
( nil = sk1
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(forward_demodulation,[],[f597,f191]) ).
fof(f597,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3)) ),
inference(resolution,[],[f104,f188]) ).
fof(f594,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f104,f75]) ).
fof(f593,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f104,f85]) ).
fof(f591,plain,
! [X0,X1] :
( nil = skaf42(X0,X1)
| skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
inference(resolution,[],[f104,f53]) ).
fof(f590,plain,
! [X0,X1] :
( nil = skaf43(X0,X1)
| skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
inference(resolution,[],[f104,f52]) ).
fof(f589,plain,
! [X0,X1] :
( nil = skaf45(X0,X1)
| skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
inference(resolution,[],[f104,f51]) ).
fof(f588,plain,
! [X0,X1] :
( nil = skaf46(X0,X1)
| skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
inference(resolution,[],[f104,f50]) ).
fof(f587,plain,
! [X0,X1] :
( nil = skaf47(X0,X1)
| skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
inference(resolution,[],[f104,f49]) ).
fof(f586,plain,
! [X0,X1] :
( nil = skaf48(X0,X1)
| skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
inference(resolution,[],[f104,f48]) ).
fof(f585,plain,
! [X0] :
( nil = skaf51(X0)
| skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
inference(resolution,[],[f104,f44]) ).
fof(f584,plain,
! [X0] :
( nil = skaf52(X0)
| skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
inference(resolution,[],[f104,f43]) ).
fof(f583,plain,
! [X0] :
( nil = skaf53(X0)
| skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
inference(resolution,[],[f104,f42]) ).
fof(f582,plain,
! [X0] :
( nil = skaf56(X0)
| skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
inference(resolution,[],[f104,f39]) ).
fof(f581,plain,
! [X0] :
( nil = skaf57(X0)
| skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
inference(resolution,[],[f104,f38]) ).
fof(f580,plain,
! [X0] :
( nil = skaf58(X0)
| skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
inference(resolution,[],[f104,f37]) ).
fof(f579,plain,
! [X0] :
( nil = skaf61(X0)
| skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
inference(resolution,[],[f104,f34]) ).
fof(f578,plain,
! [X0] :
( nil = skaf62(X0)
| skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
inference(resolution,[],[f104,f33]) ).
fof(f577,plain,
! [X0] :
( nil = skaf63(X0)
| skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
inference(resolution,[],[f104,f32]) ).
fof(f576,plain,
! [X0] :
( nil = skaf66(X0)
| skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
inference(resolution,[],[f104,f29]) ).
fof(f575,plain,
! [X0] :
( nil = skaf67(X0)
| skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
inference(resolution,[],[f104,f28]) ).
fof(f574,plain,
! [X0] :
( nil = skaf68(X0)
| skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
inference(resolution,[],[f104,f27]) ).
fof(f573,plain,
! [X0] :
( nil = skaf71(X0)
| skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
inference(resolution,[],[f104,f24]) ).
fof(f572,plain,
! [X0] :
( nil = skaf72(X0)
| skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
inference(resolution,[],[f104,f23]) ).
fof(f571,plain,
! [X0] :
( nil = skaf73(X0)
| skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
inference(resolution,[],[f104,f22]) ).
fof(f570,plain,
! [X0] :
( nil = skaf75(X0)
| skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
inference(resolution,[],[f104,f20]) ).
fof(f569,plain,
! [X0] :
( nil = skaf76(X0)
| skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
inference(resolution,[],[f104,f19]) ).
fof(f568,plain,
! [X0] :
( nil = skaf77(X0)
| skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
inference(resolution,[],[f104,f18]) ).
fof(f567,plain,
! [X0] :
( nil = skaf80(X0)
| skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
inference(resolution,[],[f104,f15]) ).
fof(f566,plain,
! [X0] :
( nil = skaf81(X0)
| skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
inference(resolution,[],[f104,f14]) ).
fof(f565,plain,
! [X0] :
( nil = skaf82(X0)
| skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
inference(resolution,[],[f104,f13]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f320,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f319,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f318,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f317,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f316,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f315,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f284,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f283,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f282,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f281,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f280,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f279,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(f347,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f346,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
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(f314,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f313,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f312,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f311,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f310,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f309,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f308,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f307,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f306,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f305,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f304,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f303,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f302,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f301,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f300,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f299,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f298,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f297,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f296,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f295,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f294,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f278,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f277,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f276,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f275,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f274,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f273,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f272,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f271,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f270,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f269,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f268,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f267,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f266,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f265,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f264,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f263,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f262,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f261,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f260,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f259,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f258,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f330,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f329,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(f326,plain,
sk6 = app(nil,sk6),
inference(resolution,[],[f74,f194]) ).
fof(f325,plain,
sk5 = app(nil,sk5),
inference(resolution,[],[f74,f193]) ).
fof(f322,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f321,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f328,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f324,f190]) ).
fof(f324,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f327,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f323,f191]) ).
fof(f323,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(f290,plain,
sk6 = app(sk6,nil),
inference(resolution,[],[f73,f194]) ).
fof(f289,plain,
sk5 = app(sk5,nil),
inference(resolution,[],[f73,f193]) ).
fof(f286,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f285,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f292,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f288,f190]) ).
fof(f288,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f291,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f287,f191]) ).
fof(f287,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(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(f234,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f82,f80,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f100,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226]) ).
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(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(f200,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
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(f231,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203]) ).
fof(f230,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202]) ).
fof(f229,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201]) ).
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(f236,plain,
equalelemsP(sk1),
inference(superposition,[],[f196,f191]) ).
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(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(f196,axiom,
equalelemsP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
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(f224,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(f223,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(f222,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(f221,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(f220,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(f219,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(f225,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,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(f217,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] :
( ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f216,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(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f215,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] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
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] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(X1)
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(X1)
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f226,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,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(f211,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] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
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(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f168,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ 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] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f233,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f82,f80,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208]) ).
fof(f208,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(f232,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f196,f194,f193,f187,f186,f189,f188,f190,f191,f195,f200,f199,f192,f197,f198,f11,f2,f5,f6,f1,f7,f4,f3,f9,f10,f8,f54,f47,f12,f17,f16,f21,f25,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f229,f202,f230,f203,f231,f82,f80,f84,f76,f78,f77,f75,f109,f104,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207]) ).
fof(f207,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(f228,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,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(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f203,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(f202,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(f201,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(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(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(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(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(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(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(f198,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk6 != app(cons(X6,nil),X7)
| sk3 != app(X8,cons(X6,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk5 != app(X7,cons(X6,nil))
| sk3 != app(cons(X6,nil),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f199,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f125,axiom,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f2230,plain,
( spl0_44
| spl0_45
| ~ spl0_46
| spl0_10 ),
inference(avatar_split_clause,[],[f2070,f737,f2227,f2223,f2219]) ).
fof(f2223,plain,
( spl0_45
<=> strictorderedP(skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2227,plain,
( spl0_46
<=> strictorderedP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2070,plain,
( ~ strictorderedP(sk6)
| strictorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| spl0_10 ),
inference(subsumption_resolution,[],[f2069,f12]) ).
fof(f2069,plain,
( ~ strictorderedP(sk6)
| strictorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| ~ ssItem(skaf83(sk6))
| spl0_10 ),
inference(subsumption_resolution,[],[f2063,f13]) ).
fof(f2063,plain,
( ~ strictorderedP(sk6)
| ~ ssList(skaf82(sk6))
| strictorderedP(skaf82(sk6))
| nil = skaf82(sk6)
| ~ ssItem(skaf83(sk6))
| spl0_10 ),
inference(superposition,[],[f124,f1985]) ).
fof(f2192,plain,
( spl0_42
| ~ spl0_43
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2174,f2164,f2189,f2185]) ).
fof(f2185,plain,
( spl0_42
<=> sk2 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2189,plain,
( spl0_43
<=> rearsegP(sk6,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2164,plain,
( spl0_41
<=> rearsegP(sk2,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2174,plain,
( ~ rearsegP(sk6,sk2)
| sk2 = sk6
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f2173,f187]) ).
fof(f2173,plain,
( ~ ssList(sk2)
| ~ rearsegP(sk6,sk2)
| sk2 = sk6
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f2172,f194]) ).
fof(f2172,plain,
( ~ ssList(sk6)
| ~ ssList(sk2)
| ~ rearsegP(sk6,sk2)
| sk2 = sk6
| ~ spl0_41 ),
inference(resolution,[],[f2166,f128]) ).
fof(f2166,plain,
( rearsegP(sk2,sk6)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2171,plain,
spl0_40,
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2170,plain,
( $false
| spl0_40 ),
inference(subsumption_resolution,[],[f2169,f186]) ).
fof(f2169,plain,
( ~ ssList(sk1)
| spl0_40 ),
inference(subsumption_resolution,[],[f2168,f193]) ).
fof(f2168,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| spl0_40 ),
inference(resolution,[],[f2162,f85]) ).
fof(f2162,plain,
( ~ ssList(app(sk5,sk1))
| spl0_40 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2167,plain,
( ~ spl0_40
| spl0_41 ),
inference(avatar_split_clause,[],[f2158,f2164,f2160]) ).
fof(f2158,plain,
( rearsegP(sk2,sk6)
| ~ ssList(app(sk5,sk1)) ),
inference(subsumption_resolution,[],[f2148,f194]) ).
fof(f2148,plain,
( rearsegP(sk2,sk6)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk1)) ),
inference(superposition,[],[f2059,f249]) ).
fof(f2059,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f2037,plain,
( ~ spl0_8
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f2036]) ).
fof(f2036,plain,
( $false
| ~ spl0_8
| spl0_37 ),
inference(subsumption_resolution,[],[f2031,f4]) ).
fof(f2031,plain,
( ~ totalorderedP(nil)
| ~ spl0_8
| spl0_37 ),
inference(superposition,[],[f1895,f726]) ).
fof(f726,plain,
( nil = sk5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl0_8
<=> nil = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1895,plain,
( ~ totalorderedP(sk5)
| spl0_37 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1893,plain,
( spl0_37
<=> totalorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2035,plain,
( ~ spl0_8
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
fof(f2034,plain,
( $false
| ~ spl0_8
| spl0_31 ),
inference(subsumption_resolution,[],[f2029,f3]) ).
fof(f2029,plain,
( ~ strictorderedP(nil)
| ~ spl0_8
| spl0_31 ),
inference(superposition,[],[f1844,f726]) ).
fof(f1844,plain,
( ~ strictorderedP(sk5)
| spl0_31 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1842,plain,
( spl0_31
<=> strictorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1982,plain,
( spl0_8
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f1981]) ).
fof(f1981,plain,
( $false
| spl0_8
| spl0_38 ),
inference(subsumption_resolution,[],[f1980,f193]) ).
fof(f1980,plain,
( ~ ssList(sk5)
| spl0_8
| spl0_38 ),
inference(subsumption_resolution,[],[f1979,f725]) ).
fof(f725,plain,
( nil != sk5
| spl0_8 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1979,plain,
( nil = sk5
| ~ ssList(sk5)
| spl0_38 ),
inference(resolution,[],[f1973,f75]) ).
fof(f1973,plain,
( ~ ssList(tl(sk5))
| spl0_38 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f1971,plain,
( spl0_38
<=> ssList(tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1978,plain,
( ~ spl0_38
| spl0_39
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1969,f862,f720,f1975,f1971]) ).
fof(f1975,plain,
( spl0_39
<=> memberP(sk5,hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f720,plain,
( spl0_7
<=> sk5 = cons(hd(sk5),tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f862,plain,
( spl0_15
<=> ssItem(hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1969,plain,
( memberP(sk5,hd(sk5))
| ~ ssList(tl(sk5))
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f840,f863]) ).
fof(f863,plain,
( ssItem(hd(sk5))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f840,plain,
( memberP(sk5,hd(sk5))
| ~ ssList(tl(sk5))
| ~ ssItem(hd(sk5))
| ~ spl0_7 ),
inference(superposition,[],[f227,f722]) ).
fof(f722,plain,
( sk5 = cons(hd(sk5),tl(sk5))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1896,plain,
( spl0_36
| ~ spl0_37
| spl0_8
| spl0_29 ),
inference(avatar_split_clause,[],[f1869,f1834,f724,f1893,f1889]) ).
fof(f1889,plain,
( spl0_36
<=> totalorderedP(skaf82(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1834,plain,
( spl0_29
<=> nil = skaf82(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1869,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| spl0_8
| spl0_29 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f77,f228,f157,f207,f232,f208,f233,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f122,f141,f140,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f200,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f636,f595,f238,f78,f76,f86,f712,f713,f714,f599,f98,f600,f99,f227,f96,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f97,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f102,f103,f105,f106,f107,f1182,f1184,f1186,f108,f1216,f1218,f110,f1242,f114,f206,f1299,f725,f109,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1401,f1391,f1392,f118,f1410,f1509,f1511,f119,f120,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1656,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f121,f1734,f1737,f1739,f1741,f124,f1806,f1835,f125,f1868]) ).
fof(f1868,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| spl0_8 ),
inference(subsumption_resolution,[],[f1867,f12]) ).
fof(f1867,plain,
( ~ totalorderedP(sk5)
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1854,f13]) ).
fof(f1854,plain,
( ~ totalorderedP(sk5)
| ~ ssList(skaf82(sk5))
| totalorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(superposition,[],[f125,f1410]) ).
fof(f1835,plain,
( nil != skaf82(sk5)
| spl0_29 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1806,plain,
( ~ strictorderedP(sk5)
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| spl0_8 ),
inference(subsumption_resolution,[],[f1805,f12]) ).
fof(f1805,plain,
( ~ strictorderedP(sk5)
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1794,f13]) ).
fof(f1794,plain,
( ~ strictorderedP(sk5)
| ~ ssList(skaf82(sk5))
| strictorderedP(skaf82(sk5))
| nil = skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(superposition,[],[f124,f1410]) ).
fof(f1511,plain,
( sk5 != skaf82(sk5)
| spl0_8 ),
inference(subsumption_resolution,[],[f1510,f12]) ).
fof(f1510,plain,
( sk5 != skaf82(sk5)
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1504,f13]) ).
fof(f1504,plain,
( sk5 != skaf82(sk5)
| ~ ssList(skaf82(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(superposition,[],[f99,f1410]) ).
fof(f1509,plain,
( memberP(sk5,skaf83(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1508,f12]) ).
fof(f1508,plain,
( memberP(sk5,skaf83(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1503,f13]) ).
fof(f1503,plain,
( memberP(sk5,skaf83(sk5))
| ~ ssList(skaf82(sk5))
| ~ ssItem(skaf83(sk5))
| spl0_8 ),
inference(superposition,[],[f227,f1410]) ).
fof(f1410,plain,
( sk5 = cons(skaf83(sk5),skaf82(sk5))
| spl0_8 ),
inference(subsumption_resolution,[],[f1399,f725]) ).
fof(f1887,plain,
( spl0_34
| ~ spl0_35
| spl0_1
| ~ spl0_13
| ~ spl0_19
| spl0_26 ),
inference(avatar_split_clause,[],[f1861,f1821,f1279,f849,f240,f1884,f1880]) ).
fof(f1880,plain,
( spl0_34
<=> totalorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1884,plain,
( spl0_35
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f240,plain,
( spl0_1
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f849,plain,
( spl0_13
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1279,plain,
( spl0_19
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1821,plain,
( spl0_26
<=> nil = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1861,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| spl0_1
| ~ spl0_13
| ~ spl0_19
| spl0_26 ),
inference(subsumption_resolution,[],[f1860,f850]) ).
fof(f850,plain,
( ssItem(hd(sk2))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f1860,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_19
| spl0_26 ),
inference(subsumption_resolution,[],[f1859,f1822]) ).
fof(f1822,plain,
( nil != tl(sk2)
| spl0_26 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1859,plain,
( ~ totalorderedP(sk2)
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1849,f1280]) ).
fof(f1280,plain,
( ssList(tl(sk2))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1849,plain,
( ~ totalorderedP(sk2)
| ~ ssList(tl(sk2))
| totalorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f125,f603]) ).
fof(f603,plain,
( sk2 = cons(hd(sk2),tl(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f596,f242]) ).
fof(f242,plain,
( nil != sk2
| spl0_1 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f596,plain,
( nil = sk2
| sk2 = cons(hd(sk2),tl(sk2)) ),
inference(resolution,[],[f104,f187]) ).
fof(f1878,plain,
( spl0_32
| ~ spl0_33
| spl0_2
| ~ spl0_5
| ~ spl0_11
| spl0_23 ),
inference(avatar_split_clause,[],[f1858,f1808,f826,f623,f244,f1875,f1871]) ).
fof(f1871,plain,
( spl0_32
<=> totalorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1875,plain,
( spl0_33
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f623,plain,
( spl0_5
<=> ssList(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f826,plain,
( spl0_11
<=> ssItem(hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1808,plain,
( spl0_23
<=> nil = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1858,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| spl0_2
| ~ spl0_5
| ~ spl0_11
| spl0_23 ),
inference(subsumption_resolution,[],[f1857,f827]) ).
fof(f827,plain,
( ssItem(hd(sk1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f1857,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_5
| spl0_23 ),
inference(subsumption_resolution,[],[f1856,f1809]) ).
fof(f1809,plain,
( nil != tl(sk1)
| spl0_23 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f1856,plain,
( ~ totalorderedP(sk1)
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1848,f624]) ).
fof(f624,plain,
( ssList(tl(sk1))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f1848,plain,
( ~ totalorderedP(sk1)
| ~ ssList(tl(sk1))
| totalorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f125,f666]) ).
fof(f666,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f109,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f200,f246,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f606,f599,f600,f602,f595,f238,f636]) ).
fof(f602,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(subsumption_resolution,[],[f595,f246]) ).
fof(f606,plain,
( sk1 = cons(hd(sk1),tl(sk1))
| spl0_2 ),
inference(forward_demodulation,[],[f605,f191]) ).
fof(f605,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_2 ),
inference(subsumption_resolution,[],[f604,f246]) ).
fof(f1845,plain,
( spl0_29
| spl0_30
| ~ spl0_31
| spl0_8 ),
inference(avatar_split_clause,[],[f1806,f724,f1842,f1838,f1834]) ).
fof(f1838,plain,
( spl0_30
<=> strictorderedP(skaf82(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1832,plain,
( spl0_26
| spl0_27
| ~ spl0_28
| spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1799,f1279,f849,f240,f1829,f1825,f1821]) ).
fof(f1825,plain,
( spl0_27
<=> strictorderedP(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1829,plain,
( spl0_28
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1799,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1798,f850]) ).
fof(f1798,plain,
( ~ strictorderedP(sk2)
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1789,f1280]) ).
fof(f1789,plain,
( ~ strictorderedP(sk2)
| ~ ssList(tl(sk2))
| strictorderedP(tl(sk2))
| nil = tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f124,f603]) ).
fof(f1819,plain,
( spl0_23
| spl0_24
| ~ spl0_25
| spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1797,f826,f623,f244,f1816,f1812,f1808]) ).
fof(f1812,plain,
( spl0_24
<=> strictorderedP(tl(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1816,plain,
( spl0_25
<=> strictorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1797,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1796,f827]) ).
fof(f1796,plain,
( ~ strictorderedP(sk1)
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1788,f624]) ).
fof(f1788,plain,
( ~ strictorderedP(sk1)
| ~ ssList(tl(sk1))
| strictorderedP(tl(sk1))
| nil = tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f124,f666]) ).
fof(f1321,plain,
( spl0_10
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| spl0_10
| spl0_21 ),
inference(subsumption_resolution,[],[f1319,f194]) ).
fof(f1319,plain,
( ~ ssList(sk6)
| spl0_10
| spl0_21 ),
inference(subsumption_resolution,[],[f1318,f738]) ).
fof(f1318,plain,
( nil = sk6
| ~ ssList(sk6)
| spl0_21 ),
inference(resolution,[],[f1312,f75]) ).
fof(f1312,plain,
( ~ ssList(tl(sk6))
| spl0_21 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1310,plain,
( spl0_21
<=> ssList(tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1317,plain,
( ~ spl0_21
| spl0_22
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1308,f908,f733,f1314,f1310]) ).
fof(f1314,plain,
( spl0_22
<=> memberP(sk6,hd(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f733,plain,
( spl0_9
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f908,plain,
( spl0_17
<=> ssItem(hd(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1308,plain,
( memberP(sk6,hd(sk6))
| ~ ssList(tl(sk6))
| ~ spl0_9
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f841,f909]) ).
fof(f909,plain,
( ssItem(hd(sk6))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f841,plain,
( memberP(sk6,hd(sk6))
| ~ ssList(tl(sk6))
| ~ ssItem(hd(sk6))
| ~ spl0_9 ),
inference(superposition,[],[f227,f735]) ).
fof(f735,plain,
( sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f1290,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1289,plain,
( $false
| spl0_1
| spl0_19 ),
inference(subsumption_resolution,[],[f1288,f187]) ).
fof(f1288,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_19 ),
inference(subsumption_resolution,[],[f1287,f242]) ).
fof(f1287,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_19 ),
inference(resolution,[],[f1281,f75]) ).
fof(f1281,plain,
( ~ ssList(tl(sk2))
| spl0_19 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1286,plain,
( ~ spl0_19
| spl0_20
| spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1277,f849,f240,f1283,f1279]) ).
fof(f1283,plain,
( spl0_20
<=> memberP(sk2,hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1277,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| spl0_1
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f839,f850]) ).
fof(f839,plain,
( memberP(sk2,hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f227,f603]) ).
fof(f946,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f944,f186]) ).
fof(f944,plain,
( ~ ssList(sk1)
| spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f938,f57]) ).
fof(f938,plain,
( ~ segmentP(sk1,sk1)
| spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f529,f931]) ).
fof(f931,plain,
( sk1 = sk2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f930,f285]) ).
fof(f930,plain,
( sk2 = app(sk1,nil)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f929,f321]) ).
fof(f929,plain,
( sk2 = app(app(nil,sk1),nil)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f922,f726]) ).
fof(f922,plain,
( sk2 = app(app(sk5,sk1),nil)
| ~ spl0_10 ),
inference(superposition,[],[f249,f739]) ).
fof(f739,plain,
( nil = sk6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f529,plain,
( ~ segmentP(sk1,sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f528,f242]) ).
fof(f528,plain,
( ~ segmentP(sk1,sk2)
| nil = sk2 ),
inference(subsumption_resolution,[],[f527,f187]) ).
fof(f527,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| nil = sk2 ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f526,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f499,f57]) ).
fof(f919,plain,
( spl0_10
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| spl0_10
| spl0_17 ),
inference(subsumption_resolution,[],[f917,f194]) ).
fof(f917,plain,
( ~ ssList(sk6)
| spl0_10
| spl0_17 ),
inference(subsumption_resolution,[],[f916,f738]) ).
fof(f916,plain,
( nil = sk6
| ~ ssList(sk6)
| spl0_17 ),
inference(resolution,[],[f910,f76]) ).
fof(f910,plain,
( ~ ssItem(hd(sk6))
| spl0_17 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f915,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f824,f733,f912,f908]) ).
fof(f912,plain,
( spl0_18
<=> sk6 = tl(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f824,plain,
( sk6 != tl(sk6)
| ~ ssItem(hd(sk6))
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f823,f194]) ).
fof(f823,plain,
( sk6 != tl(sk6)
| ~ ssList(sk6)
| ~ ssItem(hd(sk6))
| ~ spl0_9 ),
inference(inner_rewriting,[],[f817]) ).
fof(f817,plain,
( sk6 != tl(sk6)
| ~ ssList(tl(sk6))
| ~ ssItem(hd(sk6))
| ~ spl0_9 ),
inference(superposition,[],[f99,f735]) ).
fof(f873,plain,
( spl0_8
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f872,plain,
( $false
| spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f871,f193]) ).
fof(f871,plain,
( ~ ssList(sk5)
| spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f870,f725]) ).
fof(f870,plain,
( nil = sk5
| ~ ssList(sk5)
| spl0_15 ),
inference(resolution,[],[f864,f76]) ).
fof(f864,plain,
( ~ ssItem(hd(sk5))
| spl0_15 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f869,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f822,f720,f866,f862]) ).
fof(f866,plain,
( spl0_16
<=> sk5 = tl(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f822,plain,
( sk5 != tl(sk5)
| ~ ssItem(hd(sk5))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f821,f193]) ).
fof(f821,plain,
( sk5 != tl(sk5)
| ~ ssList(sk5)
| ~ ssItem(hd(sk5))
| ~ spl0_7 ),
inference(inner_rewriting,[],[f816]) ).
fof(f816,plain,
( sk5 != tl(sk5)
| ~ ssList(tl(sk5))
| ~ ssItem(hd(sk5))
| ~ spl0_7 ),
inference(superposition,[],[f99,f722]) ).
fof(f860,plain,
( spl0_1
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| spl0_1
| spl0_13 ),
inference(subsumption_resolution,[],[f858,f187]) ).
fof(f858,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_13 ),
inference(subsumption_resolution,[],[f857,f242]) ).
fof(f857,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_13 ),
inference(resolution,[],[f851,f76]) ).
fof(f851,plain,
( ~ ssItem(hd(sk2))
| spl0_13 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f856,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f820,f240,f853,f849]) ).
fof(f853,plain,
( spl0_14
<=> sk2 = tl(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f820,plain,
( sk2 != tl(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(subsumption_resolution,[],[f819,f187]) ).
fof(f819,plain,
( sk2 != tl(sk2)
| ~ ssList(sk2)
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(inner_rewriting,[],[f815]) ).
fof(f815,plain,
( sk2 != tl(sk2)
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| spl0_1 ),
inference(superposition,[],[f99,f603]) ).
fof(f845,plain,
( spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| spl0_2
| ~ spl0_5
| spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f843,f827]) ).
fof(f843,plain,
( ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f842,f624]) ).
fof(f842,plain,
( ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f838,f628]) ).
fof(f628,plain,
( ~ memberP(sk1,hd(sk1))
| spl0_6 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f627,plain,
( spl0_6
<=> memberP(sk1,hd(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f838,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f227,f666]) ).
fof(f837,plain,
( spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| spl0_2
| spl0_11 ),
inference(subsumption_resolution,[],[f835,f186]) ).
fof(f835,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_11 ),
inference(subsumption_resolution,[],[f834,f246]) ).
fof(f834,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_11 ),
inference(resolution,[],[f828,f76]) ).
fof(f828,plain,
( ~ ssItem(hd(sk1))
| spl0_11 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f833,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f818,f623,f244,f830,f826]) ).
fof(f830,plain,
( spl0_12
<=> sk1 = tl(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f818,plain,
( sk1 != tl(sk1)
| ~ ssItem(hd(sk1))
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f814,f624]) ).
fof(f814,plain,
( sk1 != tl(sk1)
| ~ ssList(tl(sk1))
| ~ ssItem(hd(sk1))
| spl0_2 ),
inference(superposition,[],[f99,f666]) ).
fof(f740,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f600,f737,f733]) ).
fof(f727,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f599,f724,f720]) ).
fof(f665,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f664,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f660,f242]) ).
fof(f660,plain,
( nil = sk2
| ~ spl0_2 ),
inference(superposition,[],[f190,f657]) ).
fof(f657,plain,
( nil = sk4
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f238,f245]) ).
fof(f245,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f663,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f659,f242]) ).
fof(f659,plain,
( nil = sk2
| ~ spl0_2 ),
inference(superposition,[],[f657,f190]) ).
fof(f656,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f651,f242]) ).
fof(f651,plain,
( nil = sk2
| spl0_5 ),
inference(superposition,[],[f190,f639]) ).
fof(f639,plain,
( nil = sk4
| spl0_5 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f109,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f200,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f599,f600,f625,f635,f636,f637,f595,f638,f238]) ).
fof(f638,plain,
( nil = sk1
| spl0_5 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f109,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f238,f200,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f599,f600,f625,f635,f636,f637,f595]) ).
fof(f637,plain,
( nil = sk1
| spl0_5 ),
inference(global_subsumption,[],[f195,f199,f197,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f109,f228,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f232,f208,f233,f169,f149,f131,f168,f132,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f193,f194,f196,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f236,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,f229,f230,f231,f48,f49,f50,f51,f52,f53,f238,f200,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f234,f249,f64,f65,f66,f67,f68,f69,f70,f72,f73,f291,f292,f285,f286,f289,f290,f74,f327,f328,f321,f322,f325,f326,f75,f329,f330,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f80,f82,f84,f85,f346,f347,f192,f87,f88,f89,f90,f91,f92,f93,f94,f95,f279,f280,f100,f101,f499,f281,f282,f283,f284,f315,f316,f317,f318,f319,f320,f104,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f593,f594,f599,f600,f625,f635,f636]) ).
fof(f635,plain,
( nil = sk1
| spl0_5 ),
inference(subsumption_resolution,[],[f631,f186]) ).
fof(f631,plain,
( nil = sk1
| ~ ssList(sk1)
| spl0_5 ),
inference(resolution,[],[f625,f75]) ).
fof(f625,plain,
( ~ ssList(tl(sk1))
| spl0_5 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f654,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f650,f242]) ).
fof(f650,plain,
( nil = sk2
| spl0_5 ),
inference(superposition,[],[f639,f190]) ).
fof(f634,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| spl0_2
| spl0_5 ),
inference(subsumption_resolution,[],[f632,f186]) ).
fof(f632,plain,
( ~ ssList(sk1)
| spl0_2
| spl0_5 ),
inference(subsumption_resolution,[],[f631,f246]) ).
fof(f630,plain,
( ~ spl0_5
| spl0_6
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f610,f251,f244,f627,f623]) ).
fof(f251,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f610,plain,
( memberP(sk1,hd(sk1))
| ~ ssList(tl(sk1))
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f406,f602]) ).
fof(f406,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f227,f252]) ).
fof(f252,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f256,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f254,f251]) ).
fof(f254,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f247,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f200,f244,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC076-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 03:56:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (21602)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (21606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (21605)WARNING: value z3 for option sas not known
% 0.13/0.38 % (21603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (21604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (21607)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (21605)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (21608)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (21609)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.20/0.41 TRYING [4]
% 0.20/0.43 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 TRYING [5]
% 1.68/0.59 TRYING [1]
% 1.68/0.60 TRYING [2]
% 1.83/0.61 TRYING [3]
% 1.83/0.64 % (21605)First to succeed.
% 1.83/0.64 % (21605)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21602"
% 2.11/0.65 % (21605)Refutation found. Thanks to Tanya!
% 2.11/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.11/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.65 % (21605)------------------------------
% 2.11/0.65 % (21605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.11/0.65 % (21605)Termination reason: Refutation
% 2.11/0.65
% 2.11/0.65 % (21605)Memory used [KB]: 4139
% 2.11/0.65 % (21605)Time elapsed: 0.269 s
% 2.11/0.65 % (21605)Instructions burned: 651 (million)
% 2.11/0.65 % (21602)Success in time 0.28 s
%------------------------------------------------------------------------------