TSTP Solution File: SWC366-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC366-1 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:13:35 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 487
% Syntax : Number of formulae : 1058 ( 238 unt; 0 def)
% Number of atoms : 3151 ( 406 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 3761 (1668 ~;1788 |; 0 &)
% ( 305 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 326 ( 324 usr; 306 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 974 ( 974 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3895,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f251,f256,f261,f266,f271,f276,f281,f286,f291,f296,f301,f306,f311,f316,f320,f324,f328,f332,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f432,f436,f440,f444,f448,f452,f456,f460,f465,f469,f473,f477,f481,f485,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f565,f572,f607,f611,f615,f696,f701,f705,f709,f713,f717,f721,f725,f729,f757,f761,f765,f769,f773,f777,f781,f785,f789,f793,f797,f801,f806,f810,f815,f819,f823,f827,f831,f835,f839,f843,f847,f851,f855,f860,f864,f868,f919,f931,f935,f939,f943,f981,f1020,f1024,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1056,f1060,f1090,f1120,f1124,f1128,f1139,f1143,f1147,f1151,f1155,f1230,f1234,f1238,f1242,f1246,f1250,f1254,f1269,f1273,f1277,f1322,f1326,f1330,f1334,f1393,f1400,f1408,f1412,f1416,f1420,f1424,f1429,f1444,f1448,f1553,f1557,f1561,f1565,f1569,f1573,f1577,f1616,f1620,f1638,f1642,f1643,f1656,f1660,f1664,f1843,f1848,f1858,f1864,f1869,f1873,f1913,f1917,f1921,f1925,f1931,f1964,f2010,f2015,f2060,f2103,f2109,f2125,f2135,f2151,f2252,f2257,f2261,f2265,f2269,f2273,f2277,f2281,f2285,f2289,f2294,f2299,f2303,f2307,f2311,f2315,f2319,f2323,f2327,f2331,f2335,f2340,f2345,f2349,f2353,f2360,f2372,f2415,f2419,f2457,f2461,f2550,f2554,f2559,f2565,f2608,f2612,f2658,f2662,f2666,f2670,f2675,f2679,f2688,f2693,f2699,f2749,f2834,f2873,f2912,f2951,f3021,f3026,f3064,f3069,f3091,f3096,f3101,f3123,f3128,f3150,f3155,f3177,f3182,f3201,f3205,f3210,f3232,f3237,f3259,f3264,f3288,f3293,f3315,f3320,f3342,f3347,f3369,f3375,f3379,f3401,f3406,f3428,f3433,f3455,f3460,f3461,f3584,f3586,f3590,f3652,f3658,f3698,f3735,f3740,f3745,f3750,f3755,f3852,f3894]) ).
fof(f3894,plain,
( ~ spl0_86
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_83
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f3563,f1054,f677,f258,f248,f243,f689]) ).
fof(f689,plain,
( spl0_86
<=> ssList(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f243,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f248,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f258,plain,
( spl0_4
<=> rearsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f677,plain,
( spl0_83
<=> sk4 = app(cons(hd(sk4),nil),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1054,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3563,plain,
( rearsegP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_83
| ~ spl0_139 ),
inference(superposition,[],[f1055,f679]) ).
fof(f679,plain,
( sk4 = app(cons(hd(sk4),nil),sk3)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f1055,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f3852,plain,
( spl0_129
| spl0_305
| ~ spl0_2
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1189,f1118,f248,f3850,f978]) ).
fof(f978,plain,
( spl0_129
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f3850,plain,
( spl0_305
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1118,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1189,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_2
| ~ spl0_141 ),
inference(resolution,[],[f1119,f250]) ).
fof(f250,plain,
( ssList(sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f1119,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f3755,plain,
( spl0_304
| ~ spl0_82
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1646,f1397,f613,f3752]) ).
fof(f3752,plain,
( spl0_304
<=> cons(hd(sk4),sk4) = app(nil,cons(hd(sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f613,plain,
( spl0_82
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1397,plain,
( spl0_164
<=> ssList(cons(hd(sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1646,plain,
( cons(hd(sk4),sk4) = app(nil,cons(hd(sk4),sk4))
| ~ spl0_82
| ~ spl0_164 ),
inference(resolution,[],[f1398,f614]) ).
fof(f614,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f1398,plain,
( ssList(cons(hd(sk4),sk4))
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f3750,plain,
( spl0_303
| ~ spl0_81
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1645,f1397,f609,f3747]) ).
fof(f3747,plain,
( spl0_303
<=> cons(hd(sk4),sk4) = app(cons(hd(sk4),sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f609,plain,
( spl0_81
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1645,plain,
( cons(hd(sk4),sk4) = app(cons(hd(sk4),sk4),nil)
| ~ spl0_81
| ~ spl0_164 ),
inference(resolution,[],[f1398,f610]) ).
fof(f610,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f3745,plain,
( spl0_302
| ~ spl0_81
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1095,f689,f609,f3742]) ).
fof(f3742,plain,
( spl0_302
<=> cons(hd(sk4),nil) = app(cons(hd(sk4),nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1095,plain,
( cons(hd(sk4),nil) = app(cons(hd(sk4),nil),nil)
| ~ spl0_81
| ~ spl0_86 ),
inference(resolution,[],[f690,f610]) ).
fof(f690,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f3740,plain,
( spl0_301
| ~ spl0_82
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1094,f689,f613,f3737]) ).
fof(f3737,plain,
( spl0_301
<=> cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1094,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_82
| ~ spl0_86 ),
inference(resolution,[],[f690,f614]) ).
fof(f3735,plain,
( ~ spl0_78
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f3734]) ).
fof(f3734,plain,
( $false
| ~ spl0_78
| spl0_288 ),
inference(resolution,[],[f3374,f568]) ).
fof(f568,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl0_78
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f3374,plain,
( ~ ssItem(sk4)
| spl0_288 ),
inference(avatar_component_clause,[],[f3372]) ).
fof(f3372,plain,
( spl0_288
<=> ssItem(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f3698,plain,
( spl0_300
| spl0_129
| ~ spl0_2
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1016,f933,f248,f978,f3695]) ).
fof(f3695,plain,
( spl0_300
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f933,plain,
( spl0_126
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1016,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_2
| ~ spl0_126 ),
inference(resolution,[],[f934,f250]) ).
fof(f934,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f3658,plain,
( spl0_299
| spl0_129
| ~ spl0_2
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f976,f929,f248,f978,f3655]) ).
fof(f3655,plain,
( spl0_299
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f929,plain,
( spl0_125
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f976,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_2
| ~ spl0_125 ),
inference(resolution,[],[f930,f250]) ).
fof(f930,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f3652,plain,
( spl0_298
| ~ spl0_87
| ~ spl0_86
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1091,f866,f689,f693,f3649]) ).
fof(f3649,plain,
( spl0_298
<=> singletonP(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f693,plain,
( spl0_87
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f866,plain,
( spl0_123
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1091,plain,
( ~ ssItem(hd(sk4))
| singletonP(cons(hd(sk4),nil))
| ~ spl0_86
| ~ spl0_123 ),
inference(resolution,[],[f690,f867]) ).
fof(f867,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f3590,plain,
spl0_297,
inference(avatar_split_clause,[],[f162,f3588]) ).
fof(f3588,plain,
( spl0_297
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f3586,plain,
( ~ spl0_88
| ~ spl0_83
| spl0_296 ),
inference(avatar_split_clause,[],[f3585,f3581,f677,f698]) ).
fof(f698,plain,
( spl0_88
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f3581,plain,
( spl0_296
<=> duplicatefreeP(app(cons(hd(sk4),nil),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f3585,plain,
( ~ duplicatefreeP(sk4)
| ~ spl0_83
| spl0_296 ),
inference(forward_demodulation,[],[f3582,f679]) ).
fof(f3582,plain,
( ~ duplicatefreeP(app(cons(hd(sk4),nil),sk3))
| spl0_296 ),
inference(avatar_component_clause,[],[f3581]) ).
fof(f3584,plain,
( spl0_296
| ~ spl0_79
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1950,f685,f570,f3581]) ).
fof(f570,plain,
( spl0_79
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f685,plain,
( spl0_85
<=> ssList(app(cons(hd(sk4),nil),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1950,plain,
( duplicatefreeP(app(cons(hd(sk4),nil),sk3))
| ~ spl0_79
| ~ spl0_85 ),
inference(resolution,[],[f686,f571]) ).
fof(f571,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f686,plain,
( ssList(app(cons(hd(sk4),nil),sk3))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f3461,plain,
( ~ spl0_2
| ~ spl0_69
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f3284,f3098,f531,f248]) ).
fof(f531,plain,
( spl0_69
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f3098,plain,
( spl0_268
<=> neq(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f3284,plain,
( ~ ssList(sk4)
| ~ spl0_69
| ~ spl0_268 ),
inference(resolution,[],[f3100,f532]) ).
fof(f532,plain,
( ! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f3100,plain,
( neq(sk4,sk4)
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f3098]) ).
fof(f3460,plain,
( spl0_295
| ~ spl0_129
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f3456,f3453,f978,f3458]) ).
fof(f3458,plain,
( spl0_295
<=> ! [X0] : skaf61(X0) = app(skaf61(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f3453,plain,
( spl0_294
<=> ! [X0] : skaf61(X0) = app(skaf61(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3456,plain,
( ! [X0] : skaf61(X0) = app(skaf61(X0),sk4)
| ~ spl0_129
| ~ spl0_294 ),
inference(forward_demodulation,[],[f3454,f980]) ).
fof(f980,plain,
( nil = sk4
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f3454,plain,
( ! [X0] : skaf61(X0) = app(skaf61(X0),nil)
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3455,plain,
( spl0_294
| ~ spl0_38
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f631,f609,f406,f3453]) ).
fof(f406,plain,
( spl0_38
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f631,plain,
( ! [X0] : skaf61(X0) = app(skaf61(X0),nil)
| ~ spl0_38
| ~ spl0_81 ),
inference(resolution,[],[f610,f407]) ).
fof(f407,plain,
( ! [X0] : ssList(skaf61(X0))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f3433,plain,
( spl0_293
| ~ spl0_129
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f3429,f3426,f978,f3431]) ).
fof(f3431,plain,
( spl0_293
<=> ! [X0] : skaf62(X0) = app(skaf62(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f3426,plain,
( spl0_292
<=> ! [X0] : skaf62(X0) = app(skaf62(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3429,plain,
( ! [X0] : skaf62(X0) = app(skaf62(X0),sk4)
| ~ spl0_129
| ~ spl0_292 ),
inference(forward_demodulation,[],[f3427,f980]) ).
fof(f3427,plain,
( ! [X0] : skaf62(X0) = app(skaf62(X0),nil)
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f3426]) ).
fof(f3428,plain,
( spl0_292
| ~ spl0_37
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f630,f609,f402,f3426]) ).
fof(f402,plain,
( spl0_37
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f630,plain,
( ! [X0] : skaf62(X0) = app(skaf62(X0),nil)
| ~ spl0_37
| ~ spl0_81 ),
inference(resolution,[],[f610,f403]) ).
fof(f403,plain,
( ! [X0] : ssList(skaf62(X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f3406,plain,
( spl0_291
| ~ spl0_129
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f3402,f3399,f978,f3404]) ).
fof(f3404,plain,
( spl0_291
<=> ! [X0] : skaf63(X0) = app(skaf63(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3399,plain,
( spl0_290
<=> ! [X0] : skaf63(X0) = app(skaf63(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f3402,plain,
( ! [X0] : skaf63(X0) = app(skaf63(X0),sk4)
| ~ spl0_129
| ~ spl0_290 ),
inference(forward_demodulation,[],[f3400,f980]) ).
fof(f3400,plain,
( ! [X0] : skaf63(X0) = app(skaf63(X0),nil)
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f3401,plain,
( spl0_290
| ~ spl0_36
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f629,f609,f398,f3399]) ).
fof(f398,plain,
( spl0_36
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f629,plain,
( ! [X0] : skaf63(X0) = app(skaf63(X0),nil)
| ~ spl0_36
| ~ spl0_81 ),
inference(resolution,[],[f610,f399]) ).
fof(f399,plain,
( ! [X0] : ssList(skaf63(X0))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f3379,plain,
( spl0_289
| ~ spl0_129
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f3370,f3367,f978,f3377]) ).
fof(f3377,plain,
( spl0_289
<=> ! [X0] : skaf66(X0) = app(skaf66(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f3367,plain,
( spl0_287
<=> ! [X0] : skaf66(X0) = app(skaf66(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f3370,plain,
( ! [X0] : skaf66(X0) = app(skaf66(X0),sk4)
| ~ spl0_129
| ~ spl0_287 ),
inference(forward_demodulation,[],[f3368,f980]) ).
fof(f3368,plain,
( ! [X0] : skaf66(X0) = app(skaf66(X0),nil)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f3375,plain,
( ~ spl0_288
| ~ spl0_70
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f3283,f3098,f535,f3372]) ).
fof(f535,plain,
( spl0_70
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3283,plain,
( ~ ssItem(sk4)
| ~ spl0_70
| ~ spl0_268 ),
inference(resolution,[],[f3100,f536]) ).
fof(f536,plain,
( ! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f3369,plain,
( spl0_287
| ~ spl0_33
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f628,f609,f386,f3367]) ).
fof(f386,plain,
( spl0_33
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f628,plain,
( ! [X0] : skaf66(X0) = app(skaf66(X0),nil)
| ~ spl0_33
| ~ spl0_81 ),
inference(resolution,[],[f610,f387]) ).
fof(f387,plain,
( ! [X0] : ssList(skaf66(X0))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f3347,plain,
( spl0_286
| ~ spl0_129
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f3343,f3340,f978,f3345]) ).
fof(f3345,plain,
( spl0_286
<=> ! [X0] : skaf67(X0) = app(skaf67(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f3340,plain,
( spl0_285
<=> ! [X0] : skaf67(X0) = app(skaf67(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f3343,plain,
( ! [X0] : skaf67(X0) = app(skaf67(X0),sk4)
| ~ spl0_129
| ~ spl0_285 ),
inference(forward_demodulation,[],[f3341,f980]) ).
fof(f3341,plain,
( ! [X0] : skaf67(X0) = app(skaf67(X0),nil)
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f3342,plain,
( spl0_285
| ~ spl0_32
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f627,f609,f382,f3340]) ).
fof(f382,plain,
( spl0_32
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f627,plain,
( ! [X0] : skaf67(X0) = app(skaf67(X0),nil)
| ~ spl0_32
| ~ spl0_81 ),
inference(resolution,[],[f610,f383]) ).
fof(f383,plain,
( ! [X0] : ssList(skaf67(X0))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f3320,plain,
( spl0_284
| ~ spl0_129
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f3316,f3313,f978,f3318]) ).
fof(f3318,plain,
( spl0_284
<=> ! [X0] : skaf68(X0) = app(skaf68(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f3313,plain,
( spl0_283
<=> ! [X0] : skaf68(X0) = app(skaf68(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f3316,plain,
( ! [X0] : skaf68(X0) = app(skaf68(X0),sk4)
| ~ spl0_129
| ~ spl0_283 ),
inference(forward_demodulation,[],[f3314,f980]) ).
fof(f3314,plain,
( ! [X0] : skaf68(X0) = app(skaf68(X0),nil)
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f3315,plain,
( spl0_283
| ~ spl0_31
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f626,f609,f378,f3313]) ).
fof(f378,plain,
( spl0_31
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f626,plain,
( ! [X0] : skaf68(X0) = app(skaf68(X0),nil)
| ~ spl0_31
| ~ spl0_81 ),
inference(resolution,[],[f610,f379]) ).
fof(f379,plain,
( ! [X0] : ssList(skaf68(X0))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f3293,plain,
( spl0_282
| ~ spl0_129
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f3289,f3286,f978,f3291]) ).
fof(f3291,plain,
( spl0_282
<=> ! [X0] : skaf71(X0) = app(skaf71(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f3286,plain,
( spl0_281
<=> ! [X0] : skaf71(X0) = app(skaf71(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f3289,plain,
( ! [X0] : skaf71(X0) = app(skaf71(X0),sk4)
| ~ spl0_129
| ~ spl0_281 ),
inference(forward_demodulation,[],[f3287,f980]) ).
fof(f3287,plain,
( ! [X0] : skaf71(X0) = app(skaf71(X0),nil)
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f3288,plain,
( spl0_281
| ~ spl0_28
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f625,f609,f366,f3286]) ).
fof(f366,plain,
( spl0_28
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f625,plain,
( ! [X0] : skaf71(X0) = app(skaf71(X0),nil)
| ~ spl0_28
| ~ spl0_81 ),
inference(resolution,[],[f610,f367]) ).
fof(f367,plain,
( ! [X0] : ssList(skaf71(X0))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f3264,plain,
( spl0_280
| ~ spl0_129
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f3260,f3257,f978,f3262]) ).
fof(f3262,plain,
( spl0_280
<=> ! [X0] : skaf72(X0) = app(skaf72(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f3257,plain,
( spl0_279
<=> ! [X0] : skaf72(X0) = app(skaf72(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f3260,plain,
( ! [X0] : skaf72(X0) = app(skaf72(X0),sk4)
| ~ spl0_129
| ~ spl0_279 ),
inference(forward_demodulation,[],[f3258,f980]) ).
fof(f3258,plain,
( ! [X0] : skaf72(X0) = app(skaf72(X0),nil)
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f3259,plain,
( spl0_279
| ~ spl0_27
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f624,f609,f362,f3257]) ).
fof(f362,plain,
( spl0_27
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f624,plain,
( ! [X0] : skaf72(X0) = app(skaf72(X0),nil)
| ~ spl0_27
| ~ spl0_81 ),
inference(resolution,[],[f610,f363]) ).
fof(f363,plain,
( ! [X0] : ssList(skaf72(X0))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f3237,plain,
( spl0_278
| ~ spl0_129
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f3233,f3230,f978,f3235]) ).
fof(f3235,plain,
( spl0_278
<=> ! [X0] : skaf73(X0) = app(skaf73(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f3230,plain,
( spl0_277
<=> ! [X0] : skaf73(X0) = app(skaf73(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f3233,plain,
( ! [X0] : skaf73(X0) = app(skaf73(X0),sk4)
| ~ spl0_129
| ~ spl0_277 ),
inference(forward_demodulation,[],[f3231,f980]) ).
fof(f3231,plain,
( ! [X0] : skaf73(X0) = app(skaf73(X0),nil)
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f3232,plain,
( spl0_277
| ~ spl0_26
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f623,f609,f358,f3230]) ).
fof(f358,plain,
( spl0_26
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f623,plain,
( ! [X0] : skaf73(X0) = app(skaf73(X0),nil)
| ~ spl0_26
| ~ spl0_81 ),
inference(resolution,[],[f610,f359]) ).
fof(f359,plain,
( ! [X0] : ssList(skaf73(X0))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f3210,plain,
( spl0_276
| ~ spl0_129
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f3206,f3203,f978,f3208]) ).
fof(f3208,plain,
( spl0_276
<=> ! [X0] : skaf75(X0) = app(skaf75(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f3203,plain,
( spl0_275
<=> ! [X0] : skaf75(X0) = app(skaf75(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f3206,plain,
( ! [X0] : skaf75(X0) = app(skaf75(X0),sk4)
| ~ spl0_129
| ~ spl0_275 ),
inference(forward_demodulation,[],[f3204,f980]) ).
fof(f3204,plain,
( ! [X0] : skaf75(X0) = app(skaf75(X0),nil)
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f3203]) ).
fof(f3205,plain,
( spl0_275
| ~ spl0_24
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f622,f609,f350,f3203]) ).
fof(f350,plain,
( spl0_24
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f622,plain,
( ! [X0] : skaf75(X0) = app(skaf75(X0),nil)
| ~ spl0_24
| ~ spl0_81 ),
inference(resolution,[],[f610,f351]) ).
fof(f351,plain,
( ! [X0] : ssList(skaf75(X0))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f3201,plain,
( ~ spl0_231
| ~ spl0_129
| spl0_198 ),
inference(avatar_split_clause,[],[f2016,f2007,f978,f2369]) ).
fof(f2369,plain,
( spl0_231
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2007,plain,
( spl0_198
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2016,plain,
( sk3 != sk4
| ~ spl0_129
| spl0_198 ),
inference(superposition,[],[f2008,f980]) ).
fof(f2008,plain,
( nil != sk3
| spl0_198 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f3182,plain,
( spl0_274
| ~ spl0_129
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f3178,f3175,f978,f3180]) ).
fof(f3180,plain,
( spl0_274
<=> ! [X0] : skaf76(X0) = app(skaf76(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f3175,plain,
( spl0_273
<=> ! [X0] : skaf76(X0) = app(skaf76(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f3178,plain,
( ! [X0] : skaf76(X0) = app(skaf76(X0),sk4)
| ~ spl0_129
| ~ spl0_273 ),
inference(forward_demodulation,[],[f3176,f980]) ).
fof(f3176,plain,
( ! [X0] : skaf76(X0) = app(skaf76(X0),nil)
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f3175]) ).
fof(f3177,plain,
( spl0_273
| ~ spl0_23
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f621,f609,f346,f3175]) ).
fof(f346,plain,
( spl0_23
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f621,plain,
( ! [X0] : skaf76(X0) = app(skaf76(X0),nil)
| ~ spl0_23
| ~ spl0_81 ),
inference(resolution,[],[f610,f347]) ).
fof(f347,plain,
( ! [X0] : ssList(skaf76(X0))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f3155,plain,
( spl0_272
| ~ spl0_129
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f3151,f3148,f978,f3153]) ).
fof(f3153,plain,
( spl0_272
<=> ! [X0] : skaf77(X0) = app(skaf77(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f3148,plain,
( spl0_271
<=> ! [X0] : skaf77(X0) = app(skaf77(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f3151,plain,
( ! [X0] : skaf77(X0) = app(skaf77(X0),sk4)
| ~ spl0_129
| ~ spl0_271 ),
inference(forward_demodulation,[],[f3149,f980]) ).
fof(f3149,plain,
( ! [X0] : skaf77(X0) = app(skaf77(X0),nil)
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f3150,plain,
( spl0_271
| ~ spl0_22
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f620,f609,f342,f3148]) ).
fof(f342,plain,
( spl0_22
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f620,plain,
( ! [X0] : skaf77(X0) = app(skaf77(X0),nil)
| ~ spl0_22
| ~ spl0_81 ),
inference(resolution,[],[f610,f343]) ).
fof(f343,plain,
( ! [X0] : ssList(skaf77(X0))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f3128,plain,
( spl0_270
| ~ spl0_129
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f3124,f3121,f978,f3126]) ).
fof(f3126,plain,
( spl0_270
<=> ! [X0] : skaf80(X0) = app(skaf80(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f3121,plain,
( spl0_269
<=> ! [X0] : skaf80(X0) = app(skaf80(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f3124,plain,
( ! [X0] : skaf80(X0) = app(skaf80(X0),sk4)
| ~ spl0_129
| ~ spl0_269 ),
inference(forward_demodulation,[],[f3122,f980]) ).
fof(f3122,plain,
( ! [X0] : skaf80(X0) = app(skaf80(X0),nil)
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f3123,plain,
( spl0_269
| ~ spl0_19
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f619,f609,f330,f3121]) ).
fof(f330,plain,
( spl0_19
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f619,plain,
( ! [X0] : skaf80(X0) = app(skaf80(X0),nil)
| ~ spl0_19
| ~ spl0_81 ),
inference(resolution,[],[f610,f331]) ).
fof(f331,plain,
( ! [X0] : ssList(skaf80(X0))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f3101,plain,
( spl0_268
| ~ spl0_3
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1874,f978,f253,f3098]) ).
fof(f253,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1874,plain,
( neq(sk4,sk4)
| ~ spl0_3
| ~ spl0_129 ),
inference(superposition,[],[f255,f980]) ).
fof(f255,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f3096,plain,
( spl0_267
| ~ spl0_129
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f3092,f3089,f978,f3094]) ).
fof(f3094,plain,
( spl0_267
<=> ! [X0] : skaf81(X0) = app(skaf81(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f3089,plain,
( spl0_266
<=> ! [X0] : skaf81(X0) = app(skaf81(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f3092,plain,
( ! [X0] : skaf81(X0) = app(skaf81(X0),sk4)
| ~ spl0_129
| ~ spl0_266 ),
inference(forward_demodulation,[],[f3090,f980]) ).
fof(f3090,plain,
( ! [X0] : skaf81(X0) = app(skaf81(X0),nil)
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3091,plain,
( spl0_266
| ~ spl0_18
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f618,f609,f326,f3089]) ).
fof(f326,plain,
( spl0_18
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f618,plain,
( ! [X0] : skaf81(X0) = app(skaf81(X0),nil)
| ~ spl0_18
| ~ spl0_81 ),
inference(resolution,[],[f610,f327]) ).
fof(f327,plain,
( ! [X0] : ssList(skaf81(X0))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f3069,plain,
( spl0_265
| ~ spl0_129
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f3065,f3062,f978,f3067]) ).
fof(f3067,plain,
( spl0_265
<=> ! [X0] : skaf82(X0) = app(skaf82(X0),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f3062,plain,
( spl0_264
<=> ! [X0] : skaf82(X0) = app(skaf82(X0),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f3065,plain,
( ! [X0] : skaf82(X0) = app(skaf82(X0),sk4)
| ~ spl0_129
| ~ spl0_264 ),
inference(forward_demodulation,[],[f3063,f980]) ).
fof(f3063,plain,
( ! [X0] : skaf82(X0) = app(skaf82(X0),nil)
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f3064,plain,
( spl0_264
| ~ spl0_17
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f617,f609,f322,f3062]) ).
fof(f322,plain,
( spl0_17
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f617,plain,
( ! [X0] : skaf82(X0) = app(skaf82(X0),nil)
| ~ spl0_17
| ~ spl0_81 ),
inference(resolution,[],[f610,f323]) ).
fof(f323,plain,
( ! [X0] : ssList(skaf82(X0))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f3026,plain,
( spl0_263
| ~ spl0_90
| ~ spl0_129
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f2116,f1414,f978,f707,f3024]) ).
fof(f3024,plain,
( spl0_263
<=> ! [X2,X0,X1] :
( sk4 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(X2),app(X1,X0)) = app(cons(hd(X2),X1),X0)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f707,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1414,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f2116,plain,
( ! [X2,X0,X1] :
( sk4 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(X2),app(X1,X0)) = app(cons(hd(X2),X1),X0)
| ~ ssList(X2) )
| ~ spl0_90
| ~ spl0_129
| ~ spl0_167 ),
inference(forward_demodulation,[],[f1534,f980]) ).
fof(f1534,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(X2),app(X1,X0)) = app(cons(hd(X2),X1),X0)
| nil = X2
| ~ ssList(X2) )
| ~ spl0_90
| ~ spl0_167 ),
inference(resolution,[],[f1415,f708]) ).
fof(f708,plain,
( ! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1415,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f3021,plain,
( spl0_262
| ~ spl0_12
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f616,f609,f298,f3018]) ).
fof(f3018,plain,
( spl0_262
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f298,plain,
( spl0_12
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f616,plain,
( nil = app(nil,nil)
| ~ spl0_12
| ~ spl0_81 ),
inference(resolution,[],[f610,f300]) ).
fof(f300,plain,
( ssList(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f2951,plain,
( spl0_260
| spl0_261
| ~ spl0_1
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1803,f1658,f243,f2948,f2944]) ).
fof(f2944,plain,
( spl0_260
<=> sk3 = app(app(skaf56(sk3),cons(skaf54(sk3),skaf57(sk3))),cons(skaf55(sk3),skaf58(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f2948,plain,
( spl0_261
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1658,plain,
( spl0_185
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1803,plain,
( totalorderP(sk3)
| sk3 = app(app(skaf56(sk3),cons(skaf54(sk3),skaf57(sk3))),cons(skaf55(sk3),skaf58(sk3)))
| ~ spl0_1
| ~ spl0_185 ),
inference(resolution,[],[f1659,f245]) ).
fof(f245,plain,
( ssList(sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f1659,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f2912,plain,
( spl0_258
| spl0_259
| ~ spl0_1
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1768,f1654,f243,f2909,f2905]) ).
fof(f2905,plain,
( spl0_258
<=> sk3 = app(app(skaf61(sk3),cons(skaf59(sk3),skaf62(sk3))),cons(skaf60(sk3),skaf63(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f2909,plain,
( spl0_259
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f1654,plain,
( spl0_184
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1768,plain,
( strictorderP(sk3)
| sk3 = app(app(skaf61(sk3),cons(skaf59(sk3),skaf62(sk3))),cons(skaf60(sk3),skaf63(sk3)))
| ~ spl0_1
| ~ spl0_184 ),
inference(resolution,[],[f1655,f245]) ).
fof(f1655,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f2873,plain,
( spl0_256
| spl0_257
| ~ spl0_1
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1733,f1640,f243,f2870,f2866]) ).
fof(f2866,plain,
( spl0_256
<=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f2870,plain,
( spl0_257
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f1640,plain,
( spl0_183
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1733,plain,
( totalorderedP(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
| ~ spl0_1
| ~ spl0_183 ),
inference(resolution,[],[f1641,f245]) ).
fof(f1641,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f2834,plain,
( spl0_254
| spl0_255
| ~ spl0_1
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1698,f1636,f243,f2831,f2827]) ).
fof(f2827,plain,
( spl0_254
<=> sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f2831,plain,
( spl0_255
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f1636,plain,
( spl0_182
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1698,plain,
( strictorderedP(sk3)
| sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3)))
| ~ spl0_1
| ~ spl0_182 ),
inference(resolution,[],[f1637,f245]) ).
fof(f1637,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f2749,plain,
( spl0_252
| spl0_253
| ~ spl0_1
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1481,f1406,f243,f2746,f2742]) ).
fof(f2742,plain,
( spl0_252
<=> sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f2746,plain,
( spl0_253
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1406,plain,
( spl0_165
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1481,plain,
( equalelemsP(sk3)
| sk3 = app(skaf80(sk3),cons(skaf78(sk3),cons(skaf79(sk3),skaf81(sk3))))
| ~ spl0_1
| ~ spl0_165 ),
inference(resolution,[],[f1407,f245]) ).
fof(f1407,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f2699,plain,
( spl0_251
| ~ spl0_231
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2695,f2691,f2369,f2697]) ).
fof(f2697,plain,
( spl0_251
<=> ! [X0,X1] :
( sk3 = X0
| cons(hd(X0),X1) = app(cons(hd(X0),sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f2691,plain,
( spl0_250
<=> ! [X0,X1] :
( cons(hd(X0),X1) = app(cons(hd(X0),sk4),X1)
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f2695,plain,
( ! [X0,X1] :
( sk3 = X0
| cons(hd(X0),X1) = app(cons(hd(X0),sk3),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_231
| ~ spl0_250 ),
inference(forward_demodulation,[],[f2694,f2371]) ).
fof(f2371,plain,
( sk3 = sk4
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f2694,plain,
( ! [X0,X1] :
( cons(hd(X0),X1) = app(cons(hd(X0),sk3),X1)
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_231
| ~ spl0_250 ),
inference(forward_demodulation,[],[f2692,f2371]) ).
fof(f2692,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| sk4 = X0
| ~ ssList(X0)
| cons(hd(X0),X1) = app(cons(hd(X0),sk4),X1) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f2691]) ).
fof(f2693,plain,
( spl0_250
| ~ spl0_129
| ~ spl0_130
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f2366,f2358,f1018,f978,f2691]) ).
fof(f1018,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2358,plain,
( spl0_230
<=> ! [X0] :
( sk4 = X0
| ssItem(hd(X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2366,plain,
( ! [X0,X1] :
( cons(hd(X0),X1) = app(cons(hd(X0),sk4),X1)
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_129
| ~ spl0_130
| ~ spl0_230 ),
inference(forward_demodulation,[],[f2365,f980]) ).
fof(f2365,plain,
( ! [X0,X1] :
( sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) )
| ~ spl0_130
| ~ spl0_230 ),
inference(resolution,[],[f2359,f1019]) ).
fof(f1019,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f2359,plain,
( ! [X0] :
( ssItem(hd(X0))
| sk4 = X0
| ~ ssList(X0) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2688,plain,
( spl0_248
| spl0_249
| ~ spl0_1
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1838,f1662,f243,f2685,f2681]) ).
fof(f2681,plain,
( spl0_248
<=> sk3 = app(app(skaf51(sk3),cons(skaf49(sk3),skaf52(sk3))),cons(skaf50(sk3),skaf53(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2685,plain,
( spl0_249
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1662,plain,
( spl0_186
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1838,plain,
( cyclefreeP(sk3)
| sk3 = app(app(skaf51(sk3),cons(skaf49(sk3),skaf52(sk3))),cons(skaf50(sk3),skaf53(sk3)))
| ~ spl0_1
| ~ spl0_186 ),
inference(resolution,[],[f1663,f245]) ).
fof(f1663,plain,
( ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f2679,plain,
( spl0_247
| ~ spl0_58
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f600,f570,f487,f2677]) ).
fof(f2677,plain,
( spl0_247
<=> ! [X0,X1] : duplicatefreeP(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f487,plain,
( spl0_58
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f600,plain,
( ! [X0,X1] : duplicatefreeP(skaf42(X0,X1))
| ~ spl0_58
| ~ spl0_79 ),
inference(resolution,[],[f571,f488]) ).
fof(f488,plain,
( ! [X0,X1] : ssList(skaf42(X0,X1))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f2675,plain,
( spl0_246
| ~ spl0_57
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f599,f570,f483,f2673]) ).
fof(f2673,plain,
( spl0_246
<=> ! [X0,X1] : duplicatefreeP(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f483,plain,
( spl0_57
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f599,plain,
( ! [X0,X1] : duplicatefreeP(skaf43(X0,X1))
| ~ spl0_57
| ~ spl0_79 ),
inference(resolution,[],[f571,f484]) ).
fof(f484,plain,
( ! [X0,X1] : ssList(skaf43(X0,X1))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f2670,plain,
( spl0_245
| ~ spl0_56
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f598,f570,f479,f2668]) ).
fof(f2668,plain,
( spl0_245
<=> ! [X0,X1] : duplicatefreeP(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f479,plain,
( spl0_56
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f598,plain,
( ! [X0,X1] : duplicatefreeP(skaf45(X0,X1))
| ~ spl0_56
| ~ spl0_79 ),
inference(resolution,[],[f571,f480]) ).
fof(f480,plain,
( ! [X0,X1] : ssList(skaf45(X0,X1))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f2666,plain,
( spl0_244
| ~ spl0_55
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f597,f570,f475,f2664]) ).
fof(f2664,plain,
( spl0_244
<=> ! [X0,X1] : duplicatefreeP(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f475,plain,
( spl0_55
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f597,plain,
( ! [X0,X1] : duplicatefreeP(skaf46(X0,X1))
| ~ spl0_55
| ~ spl0_79 ),
inference(resolution,[],[f571,f476]) ).
fof(f476,plain,
( ! [X0,X1] : ssList(skaf46(X0,X1))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f2662,plain,
( spl0_243
| ~ spl0_54
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f596,f570,f471,f2660]) ).
fof(f2660,plain,
( spl0_243
<=> ! [X0,X1] : duplicatefreeP(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f471,plain,
( spl0_54
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f596,plain,
( ! [X0,X1] : duplicatefreeP(skaf47(X0,X1))
| ~ spl0_54
| ~ spl0_79 ),
inference(resolution,[],[f571,f472]) ).
fof(f472,plain,
( ! [X0,X1] : ssList(skaf47(X0,X1))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f2658,plain,
( spl0_242
| ~ spl0_53
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f595,f570,f467,f2656]) ).
fof(f2656,plain,
( spl0_242
<=> ! [X0,X1] : duplicatefreeP(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f467,plain,
( spl0_53
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f595,plain,
( ! [X0,X1] : duplicatefreeP(skaf48(X0,X1))
| ~ spl0_53
| ~ spl0_79 ),
inference(resolution,[],[f571,f468]) ).
fof(f468,plain,
( ! [X0,X1] : ssList(skaf48(X0,X1))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f2612,plain,
( spl0_241
| ~ spl0_231
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2566,f2563,f2369,f2610]) ).
fof(f2610,plain,
( spl0_241
<=> ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2563,plain,
( spl0_239
<=> ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2566,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| ~ ssList(X1) )
| ~ spl0_231
| ~ spl0_239 ),
inference(forward_demodulation,[],[f2564,f2371]) ).
fof(f2564,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| sk4 = X1 )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2608,plain,
( spl0_240
| ~ spl0_231
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2560,f2557,f2369,f2606]) ).
fof(f2606,plain,
( spl0_240
<=> ! [X0] :
( sk3 = X0
| ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| totalorderedP(cons(hd(X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2557,plain,
( spl0_238
<=> ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk4 = X0
| totalorderedP(cons(hd(X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2560,plain,
( ! [X0] :
( sk3 = X0
| ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| totalorderedP(cons(hd(X0),X0)) )
| ~ spl0_231
| ~ spl0_238 ),
inference(forward_demodulation,[],[f2558,f2371]) ).
fof(f2558,plain,
( ! [X0] :
( totalorderedP(cons(hd(X0),X0))
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk4 = X0
| ~ totalorderedP(X0) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2557]) ).
fof(f2565,plain,
( spl0_239
| ~ spl0_90
| ~ spl0_111
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2114,f978,f817,f707,f2563]) ).
fof(f817,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f2114,plain,
( ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| ~ ssList(X1) )
| ~ spl0_90
| ~ spl0_111
| ~ spl0_129 ),
inference(forward_demodulation,[],[f904,f980]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) )
| ~ spl0_90
| ~ spl0_111 ),
inference(resolution,[],[f818,f708]) ).
fof(f818,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2559,plain,
( spl0_238
| ~ spl0_66
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1852,f1427,f519,f2557]) ).
fof(f519,plain,
( spl0_66
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1427,plain,
( spl0_170
<=> ! [X0,X1] :
( sk4 = X1
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1852,plain,
( ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk4 = X0
| totalorderedP(cons(hd(X0),X0)) )
| ~ spl0_66
| ~ spl0_170 ),
inference(duplicate_literal_removal,[],[f1851]) ).
fof(f1851,plain,
( ! [X0] :
( ~ totalorderedP(X0)
| ~ ssItem(hd(X0))
| ~ ssList(X0)
| sk4 = X0
| totalorderedP(cons(hd(X0),X0))
| ~ ssItem(hd(X0)) )
| ~ spl0_66
| ~ spl0_170 ),
inference(resolution,[],[f1428,f520]) ).
fof(f520,plain,
( ! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| sk4 = X1
| totalorderedP(cons(X0,X1)) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f2554,plain,
( spl0_237
| ~ spl0_2
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1516,f1410,f248,f2552]) ).
fof(f2552,plain,
( spl0_237
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1410,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1516,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_2
| ~ spl0_166 ),
inference(resolution,[],[f1411,f250]) ).
fof(f1411,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f2550,plain,
( spl0_236
| ~ spl0_1
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1515,f1410,f243,f2548]) ).
fof(f2548,plain,
( spl0_236
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1515,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_1
| ~ spl0_166 ),
inference(resolution,[],[f1411,f245]) ).
fof(f2461,plain,
( spl0_235
| spl0_231
| ~ spl0_1
| ~ spl0_129
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2355,f1320,f978,f243,f2369,f2459]) ).
fof(f2459,plain,
( spl0_235
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1320,plain,
( spl0_159
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f2355,plain,
( ! [X0] :
( sk3 = sk4
| ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_1
| ~ spl0_129
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1367,f980]) ).
fof(f1367,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_1
| ~ spl0_159 ),
inference(resolution,[],[f1321,f245]) ).
fof(f1321,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f2457,plain,
( spl0_234
| ~ spl0_90
| ~ spl0_109
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2112,f978,f808,f707,f2455]) ).
fof(f2455,plain,
( spl0_234
<=> ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f808,plain,
( spl0_109
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2112,plain,
( ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| ~ ssList(X1) )
| ~ spl0_90
| ~ spl0_109
| ~ spl0_129 ),
inference(forward_demodulation,[],[f886,f980]) ).
fof(f886,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) )
| ~ spl0_90
| ~ spl0_109 ),
inference(resolution,[],[f809,f708]) ).
fof(f809,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f2419,plain,
( spl0_233
| spl0_231
| ~ spl0_1
| ~ spl0_129
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2356,f1118,f978,f243,f2369,f2417]) ).
fof(f2417,plain,
( spl0_233
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2356,plain,
( ! [X0] :
( sk3 = sk4
| ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_129
| ~ spl0_141 ),
inference(forward_demodulation,[],[f1188,f980]) ).
fof(f1188,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_141 ),
inference(resolution,[],[f1119,f245]) ).
fof(f2415,plain,
( spl0_232
| ~ spl0_79
| ~ spl0_89
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2192,f978,f703,f570,f2413]) ).
fof(f2413,plain,
( spl0_232
<=> ! [X0] :
( sk4 = X0
| duplicatefreeP(tl(X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f703,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f2192,plain,
( ! [X0] :
( sk4 = X0
| duplicatefreeP(tl(X0))
| ~ ssList(X0) )
| ~ spl0_79
| ~ spl0_89
| ~ spl0_129 ),
inference(forward_demodulation,[],[f2189,f980]) ).
fof(f2189,plain,
( ! [X0] :
( duplicatefreeP(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_79
| ~ spl0_89 ),
inference(resolution,[],[f571,f704]) ).
fof(f704,plain,
( ! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f2372,plain,
( ~ spl0_2
| spl0_231
| spl0_87
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2126,f2123,f693,f2369,f248]) ).
fof(f2123,plain,
( spl0_202
<=> ! [X0] :
( sk3 = X0
| ssItem(hd(X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2126,plain,
( sk3 = sk4
| ~ ssList(sk4)
| spl0_87
| ~ spl0_202 ),
inference(resolution,[],[f2124,f695]) ).
fof(f695,plain,
( ~ ssItem(hd(sk4))
| spl0_87 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f2124,plain,
( ! [X0] :
( ssItem(hd(X0))
| sk3 = X0
| ~ ssList(X0) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2360,plain,
( spl0_230
| ~ spl0_90
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2118,f978,f707,f2358]) ).
fof(f2118,plain,
( ! [X0] :
( sk4 = X0
| ssItem(hd(X0))
| ~ ssList(X0) )
| ~ spl0_90
| ~ spl0_129 ),
inference(forward_demodulation,[],[f708,f980]) ).
fof(f2353,plain,
( spl0_229
| ~ spl0_90
| ~ spl0_109
| ~ spl0_129
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2113,f2007,f978,f808,f707,f2351]) ).
fof(f2351,plain,
( spl0_229
<=> ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f2113,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| ~ ssList(X1) )
| ~ spl0_90
| ~ spl0_109
| ~ spl0_129
| ~ spl0_198 ),
inference(forward_demodulation,[],[f2112,f2062]) ).
fof(f2062,plain,
( sk3 = sk4
| ~ spl0_129
| ~ spl0_198 ),
inference(superposition,[],[f2009,f980]) ).
fof(f2009,plain,
( nil = sk3
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2349,plain,
( spl0_228
| ~ spl0_48
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f594,f570,f446,f2347]) ).
fof(f2347,plain,
( spl0_228
<=> ! [X0] : duplicatefreeP(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f446,plain,
( spl0_48
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f594,plain,
( ! [X0] : duplicatefreeP(skaf51(X0))
| ~ spl0_48
| ~ spl0_79 ),
inference(resolution,[],[f571,f447]) ).
fof(f447,plain,
( ! [X0] : ssList(skaf51(X0))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f2345,plain,
( spl0_227
| ~ spl0_47
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f593,f570,f442,f2343]) ).
fof(f2343,plain,
( spl0_227
<=> ! [X0] : duplicatefreeP(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f442,plain,
( spl0_47
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f593,plain,
( ! [X0] : duplicatefreeP(skaf52(X0))
| ~ spl0_47
| ~ spl0_79 ),
inference(resolution,[],[f571,f443]) ).
fof(f443,plain,
( ! [X0] : ssList(skaf52(X0))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f2340,plain,
( ~ spl0_226
| spl0_15
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1883,f978,f313,f2337]) ).
fof(f2337,plain,
( spl0_226
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f313,plain,
( spl0_15
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1883,plain,
( ~ singletonP(sk4)
| spl0_15
| ~ spl0_129 ),
inference(superposition,[],[f315,f980]) ).
fof(f315,plain,
( ~ singletonP(nil)
| spl0_15 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f2335,plain,
( spl0_225
| ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f592,f570,f438,f2333]) ).
fof(f2333,plain,
( spl0_225
<=> ! [X0] : duplicatefreeP(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f438,plain,
( spl0_46
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f592,plain,
( ! [X0] : duplicatefreeP(skaf53(X0))
| ~ spl0_46
| ~ spl0_79 ),
inference(resolution,[],[f571,f439]) ).
fof(f439,plain,
( ! [X0] : ssList(skaf53(X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f2331,plain,
( spl0_224
| ~ spl0_43
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f591,f570,f426,f2329]) ).
fof(f2329,plain,
( spl0_224
<=> ! [X0] : duplicatefreeP(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f426,plain,
( spl0_43
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f591,plain,
( ! [X0] : duplicatefreeP(skaf56(X0))
| ~ spl0_43
| ~ spl0_79 ),
inference(resolution,[],[f571,f427]) ).
fof(f427,plain,
( ! [X0] : ssList(skaf56(X0))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f2327,plain,
( spl0_223
| ~ spl0_42
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f590,f570,f422,f2325]) ).
fof(f2325,plain,
( spl0_223
<=> ! [X0] : duplicatefreeP(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f422,plain,
( spl0_42
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f590,plain,
( ! [X0] : duplicatefreeP(skaf57(X0))
| ~ spl0_42
| ~ spl0_79 ),
inference(resolution,[],[f571,f423]) ).
fof(f423,plain,
( ! [X0] : ssList(skaf57(X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f2323,plain,
( spl0_222
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f589,f570,f418,f2321]) ).
fof(f2321,plain,
( spl0_222
<=> ! [X0] : duplicatefreeP(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f418,plain,
( spl0_41
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f589,plain,
( ! [X0] : duplicatefreeP(skaf58(X0))
| ~ spl0_41
| ~ spl0_79 ),
inference(resolution,[],[f571,f419]) ).
fof(f419,plain,
( ! [X0] : ssList(skaf58(X0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f2319,plain,
( spl0_221
| ~ spl0_38
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f588,f570,f406,f2317]) ).
fof(f2317,plain,
( spl0_221
<=> ! [X0] : duplicatefreeP(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f588,plain,
( ! [X0] : duplicatefreeP(skaf61(X0))
| ~ spl0_38
| ~ spl0_79 ),
inference(resolution,[],[f571,f407]) ).
fof(f2315,plain,
( spl0_220
| ~ spl0_37
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f587,f570,f402,f2313]) ).
fof(f2313,plain,
( spl0_220
<=> ! [X0] : duplicatefreeP(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f587,plain,
( ! [X0] : duplicatefreeP(skaf62(X0))
| ~ spl0_37
| ~ spl0_79 ),
inference(resolution,[],[f571,f403]) ).
fof(f2311,plain,
( spl0_219
| ~ spl0_36
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f586,f570,f398,f2309]) ).
fof(f2309,plain,
( spl0_219
<=> ! [X0] : duplicatefreeP(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f586,plain,
( ! [X0] : duplicatefreeP(skaf63(X0))
| ~ spl0_36
| ~ spl0_79 ),
inference(resolution,[],[f571,f399]) ).
fof(f2307,plain,
( spl0_218
| ~ spl0_33
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f585,f570,f386,f2305]) ).
fof(f2305,plain,
( spl0_218
<=> ! [X0] : duplicatefreeP(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f585,plain,
( ! [X0] : duplicatefreeP(skaf66(X0))
| ~ spl0_33
| ~ spl0_79 ),
inference(resolution,[],[f571,f387]) ).
fof(f2303,plain,
( spl0_217
| ~ spl0_32
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f584,f570,f382,f2301]) ).
fof(f2301,plain,
( spl0_217
<=> ! [X0] : duplicatefreeP(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f584,plain,
( ! [X0] : duplicatefreeP(skaf67(X0))
| ~ spl0_32
| ~ spl0_79 ),
inference(resolution,[],[f571,f383]) ).
fof(f2299,plain,
( spl0_216
| ~ spl0_31
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f583,f570,f378,f2297]) ).
fof(f2297,plain,
( spl0_216
<=> ! [X0] : duplicatefreeP(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f583,plain,
( ! [X0] : duplicatefreeP(skaf68(X0))
| ~ spl0_31
| ~ spl0_79 ),
inference(resolution,[],[f571,f379]) ).
fof(f2294,plain,
( spl0_215
| ~ spl0_11
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1881,f978,f293,f2291]) ).
fof(f2291,plain,
( spl0_215
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f293,plain,
( spl0_11
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1881,plain,
( cyclefreeP(sk4)
| ~ spl0_11
| ~ spl0_129 ),
inference(superposition,[],[f295,f980]) ).
fof(f295,plain,
( cyclefreeP(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f2289,plain,
( spl0_214
| ~ spl0_28
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f582,f570,f366,f2287]) ).
fof(f2287,plain,
( spl0_214
<=> ! [X0] : duplicatefreeP(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f582,plain,
( ! [X0] : duplicatefreeP(skaf71(X0))
| ~ spl0_28
| ~ spl0_79 ),
inference(resolution,[],[f571,f367]) ).
fof(f2285,plain,
( spl0_213
| ~ spl0_27
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f581,f570,f362,f2283]) ).
fof(f2283,plain,
( spl0_213
<=> ! [X0] : duplicatefreeP(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f581,plain,
( ! [X0] : duplicatefreeP(skaf72(X0))
| ~ spl0_27
| ~ spl0_79 ),
inference(resolution,[],[f571,f363]) ).
fof(f2281,plain,
( spl0_212
| ~ spl0_26
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f580,f570,f358,f2279]) ).
fof(f2279,plain,
( spl0_212
<=> ! [X0] : duplicatefreeP(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f580,plain,
( ! [X0] : duplicatefreeP(skaf73(X0))
| ~ spl0_26
| ~ spl0_79 ),
inference(resolution,[],[f571,f359]) ).
fof(f2277,plain,
( spl0_211
| ~ spl0_24
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f579,f570,f350,f2275]) ).
fof(f2275,plain,
( spl0_211
<=> ! [X0] : duplicatefreeP(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f579,plain,
( ! [X0] : duplicatefreeP(skaf75(X0))
| ~ spl0_24
| ~ spl0_79 ),
inference(resolution,[],[f571,f351]) ).
fof(f2273,plain,
( spl0_210
| ~ spl0_23
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f578,f570,f346,f2271]) ).
fof(f2271,plain,
( spl0_210
<=> ! [X0] : duplicatefreeP(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f578,plain,
( ! [X0] : duplicatefreeP(skaf76(X0))
| ~ spl0_23
| ~ spl0_79 ),
inference(resolution,[],[f571,f347]) ).
fof(f2269,plain,
( spl0_209
| ~ spl0_22
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f577,f570,f342,f2267]) ).
fof(f2267,plain,
( spl0_209
<=> ! [X0] : duplicatefreeP(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f577,plain,
( ! [X0] : duplicatefreeP(skaf77(X0))
| ~ spl0_22
| ~ spl0_79 ),
inference(resolution,[],[f571,f343]) ).
fof(f2265,plain,
( spl0_208
| ~ spl0_19
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f576,f570,f330,f2263]) ).
fof(f2263,plain,
( spl0_208
<=> ! [X0] : duplicatefreeP(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f576,plain,
( ! [X0] : duplicatefreeP(skaf80(X0))
| ~ spl0_19
| ~ spl0_79 ),
inference(resolution,[],[f571,f331]) ).
fof(f2261,plain,
( spl0_207
| ~ spl0_18
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f575,f570,f326,f2259]) ).
fof(f2259,plain,
( spl0_207
<=> ! [X0] : duplicatefreeP(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f575,plain,
( ! [X0] : duplicatefreeP(skaf81(X0))
| ~ spl0_18
| ~ spl0_79 ),
inference(resolution,[],[f571,f327]) ).
fof(f2257,plain,
( spl0_206
| ~ spl0_79
| ~ spl0_89
| ~ spl0_129
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2121,f2007,f978,f703,f570,f2255]) ).
fof(f2255,plain,
( spl0_206
<=> ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| duplicatefreeP(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2121,plain,
( ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| duplicatefreeP(tl(X0)) )
| ~ spl0_79
| ~ spl0_89
| ~ spl0_129
| ~ spl0_198 ),
inference(forward_demodulation,[],[f2120,f2062]) ).
fof(f2120,plain,
( ! [X0] :
( sk4 = X0
| ~ ssList(X0)
| duplicatefreeP(tl(X0)) )
| ~ spl0_79
| ~ spl0_89
| ~ spl0_129 ),
inference(forward_demodulation,[],[f732,f980]) ).
fof(f732,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| duplicatefreeP(tl(X0)) )
| ~ spl0_79
| ~ spl0_89 ),
inference(resolution,[],[f704,f571]) ).
fof(f2252,plain,
( spl0_205
| ~ spl0_10
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1880,f978,f288,f2249]) ).
fof(f2249,plain,
( spl0_205
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f288,plain,
( spl0_10
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1880,plain,
( totalorderP(sk4)
| ~ spl0_10
| ~ spl0_129 ),
inference(superposition,[],[f290,f980]) ).
fof(f290,plain,
( totalorderP(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f2151,plain,
( spl0_204
| ~ spl0_9
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1879,f978,f283,f2148]) ).
fof(f2148,plain,
( spl0_204
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f283,plain,
( spl0_9
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1879,plain,
( strictorderP(sk4)
| ~ spl0_9
| ~ spl0_129 ),
inference(superposition,[],[f285,f980]) ).
fof(f285,plain,
( strictorderP(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f2135,plain,
( spl0_203
| ~ spl0_8
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1878,f978,f278,f2132]) ).
fof(f2132,plain,
( spl0_203
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f278,plain,
( spl0_8
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1878,plain,
( totalorderedP(sk4)
| ~ spl0_8
| ~ spl0_129 ),
inference(superposition,[],[f280,f980]) ).
fof(f280,plain,
( totalorderedP(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f2125,plain,
( spl0_202
| ~ spl0_90
| ~ spl0_129
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2119,f2007,f978,f707,f2123]) ).
fof(f2119,plain,
( ! [X0] :
( sk3 = X0
| ssItem(hd(X0))
| ~ ssList(X0) )
| ~ spl0_90
| ~ spl0_129
| ~ spl0_198 ),
inference(forward_demodulation,[],[f2118,f2062]) ).
fof(f2109,plain,
( ~ spl0_78
| spl0_87 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2108,plain,
( $false
| ~ spl0_78
| spl0_87 ),
inference(resolution,[],[f568,f695]) ).
fof(f2103,plain,
( spl0_201
| ~ spl0_17
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f574,f570,f322,f2101]) ).
fof(f2101,plain,
( spl0_201
<=> ! [X0] : duplicatefreeP(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f574,plain,
( ! [X0] : duplicatefreeP(skaf82(X0))
| ~ spl0_17
| ~ spl0_79 ),
inference(resolution,[],[f571,f323]) ).
fof(f2060,plain,
( spl0_200
| spl0_198
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1015,f933,f243,f2007,f2057]) ).
fof(f2057,plain,
( spl0_200
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f1015,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_1
| ~ spl0_126 ),
inference(resolution,[],[f934,f245]) ).
fof(f2015,plain,
( spl0_199
| ~ spl0_7
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1877,f978,f273,f2012]) ).
fof(f2012,plain,
( spl0_199
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f273,plain,
( spl0_7
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1877,plain,
( strictorderedP(sk4)
| ~ spl0_7
| ~ spl0_129 ),
inference(superposition,[],[f275,f980]) ).
fof(f275,plain,
( strictorderedP(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f2010,plain,
( spl0_197
| spl0_198
| ~ spl0_1
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f975,f929,f243,f2007,f2003]) ).
fof(f2003,plain,
( spl0_197
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f975,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_1
| ~ spl0_125 ),
inference(resolution,[],[f930,f245]) ).
fof(f1964,plain,
( ~ spl0_12
| spl0_129
| ~ spl0_2
| spl0_84
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f907,f821,f681,f248,f978,f298]) ).
fof(f681,plain,
( spl0_84
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f821,plain,
( spl0_112
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f907,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ ssList(nil)
| spl0_84
| ~ spl0_112 ),
inference(resolution,[],[f822,f683]) ).
fof(f683,plain,
( ~ neq(nil,sk4)
| spl0_84 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f822,plain,
( ! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1931,plain,
( spl0_196
| ~ spl0_5
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1875,f978,f263,f1928]) ).
fof(f1928,plain,
( spl0_196
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f263,plain,
( spl0_5
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1875,plain,
( equalelemsP(sk4)
| ~ spl0_5
| ~ spl0_129 ),
inference(superposition,[],[f265,f980]) ).
fof(f265,plain,
( equalelemsP(nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f1925,plain,
( ~ spl0_1
| ~ spl0_86
| spl0_85
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f746,f723,f685,f689,f243]) ).
fof(f723,plain,
( spl0_94
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f746,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk3)
| spl0_85
| ~ spl0_94 ),
inference(resolution,[],[f724,f687]) ).
fof(f687,plain,
( ~ ssList(app(cons(hd(sk4),nil),sk3))
| spl0_85 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f724,plain,
( ! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f1921,plain,
spl0_195,
inference(avatar_split_clause,[],[f234,f1919]) ).
fof(f1919,plain,
( spl0_195
<=> ! [X4,X0,X3,X2,X1] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f1917,plain,
spl0_194,
inference(avatar_split_clause,[],[f233,f1915]) ).
fof(f1915,plain,
( spl0_194
<=> ! [X4,X0,X3,X2,X1] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f1913,plain,
spl0_193,
inference(avatar_split_clause,[],[f232,f1911]) ).
fof(f1911,plain,
( spl0_193
<=> ! [X2,X4,X0,X3,X1] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f1873,plain,
spl0_192,
inference(avatar_split_clause,[],[f231,f1871]) ).
fof(f1871,plain,
( spl0_192
<=> ! [X4,X0,X3,X2,X1] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f1869,plain,
spl0_191,
inference(avatar_split_clause,[],[f230,f1867]) ).
fof(f1867,plain,
( spl0_191
<=> ! [X4,X0,X3,X2,X1] :
( ~ 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f1864,plain,
spl0_190,
inference(avatar_split_clause,[],[f227,f1862]) ).
fof(f1862,plain,
( spl0_190
<=> ! [X0,X3,X2,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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f1858,plain,
spl0_189,
inference(avatar_split_clause,[],[f229,f1856]) ).
fof(f1856,plain,
( spl0_189
<=> ! [X0,X3,X2,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 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f1848,plain,
( spl0_188
| ~ spl0_79
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1644,f1397,f570,f1845]) ).
fof(f1845,plain,
( spl0_188
<=> duplicatefreeP(cons(hd(sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1644,plain,
( duplicatefreeP(cons(hd(sk4),sk4))
| ~ spl0_79
| ~ spl0_164 ),
inference(resolution,[],[f1398,f571]) ).
fof(f1843,plain,
spl0_187,
inference(avatar_split_clause,[],[f177,f1841]) ).
fof(f1841,plain,
( spl0_187
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f1664,plain,
spl0_186,
inference(avatar_split_clause,[],[f167,f1662]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f1660,plain,
spl0_185,
inference(avatar_split_clause,[],[f166,f1658]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f1656,plain,
spl0_184,
inference(avatar_split_clause,[],[f165,f1654]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f1643,plain,
( ~ spl0_87
| ~ spl0_2
| ~ spl0_95
| spl0_164 ),
inference(avatar_split_clause,[],[f1401,f1397,f727,f248,f693]) ).
fof(f727,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1401,plain,
( ~ ssList(sk4)
| ~ ssItem(hd(sk4))
| ~ spl0_95
| spl0_164 ),
inference(resolution,[],[f1399,f728]) ).
fof(f728,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f1399,plain,
( ~ ssList(cons(hd(sk4),sk4))
| spl0_164 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1642,plain,
spl0_183,
inference(avatar_split_clause,[],[f164,f1640]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f1638,plain,
spl0_182,
inference(avatar_split_clause,[],[f163,f1636]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f1620,plain,
spl0_181,
inference(avatar_split_clause,[],[f226,f1618]) ).
fof(f1618,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f1616,plain,
spl0_180,
inference(avatar_split_clause,[],[f225,f1614]) ).
fof(f1614,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f1577,plain,
spl0_179,
inference(avatar_split_clause,[],[f176,f1575]) ).
fof(f1575,plain,
( spl0_179
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f1573,plain,
spl0_178,
inference(avatar_split_clause,[],[f174,f1571]) ).
fof(f1571,plain,
( spl0_178
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f1569,plain,
spl0_177,
inference(avatar_split_clause,[],[f172,f1567]) ).
fof(f1567,plain,
( spl0_177
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f1565,plain,
spl0_176,
inference(avatar_split_clause,[],[f171,f1563]) ).
fof(f1563,plain,
( spl0_176
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f1561,plain,
spl0_175,
inference(avatar_split_clause,[],[f170,f1559]) ).
fof(f1559,plain,
( spl0_175
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f1557,plain,
spl0_174,
inference(avatar_split_clause,[],[f169,f1555]) ).
fof(f1555,plain,
( spl0_174
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f1553,plain,
spl0_173,
inference(avatar_split_clause,[],[f168,f1551]) ).
fof(f1551,plain,
( spl0_173
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f1448,plain,
spl0_172,
inference(avatar_split_clause,[],[f161,f1446]) ).
fof(f1446,plain,
( spl0_172
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f1444,plain,
spl0_171,
inference(avatar_split_clause,[],[f160,f1442]) ).
fof(f1442,plain,
( spl0_171
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f1429,plain,
( spl0_170
| ~ spl0_129
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f1425,f1422,f978,f1427]) ).
fof(f1422,plain,
( spl0_169
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1425,plain,
( ! [X0,X1] :
( sk4 = X1
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) )
| ~ spl0_129
| ~ spl0_169 ),
inference(forward_demodulation,[],[f1423,f980]) ).
fof(f1423,plain,
( ! [X0,X1] :
( ~ leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(X1)
| totalorderedP(cons(X0,X1)) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1424,plain,
spl0_169,
inference(avatar_split_clause,[],[f159,f1422]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f1420,plain,
spl0_168,
inference(avatar_split_clause,[],[f158,f1418]) ).
fof(f1418,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f1416,plain,
spl0_167,
inference(avatar_split_clause,[],[f157,f1414]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f1412,plain,
spl0_166,
inference(avatar_split_clause,[],[f149,f1410]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f1408,plain,
spl0_165,
inference(avatar_split_clause,[],[f142,f1406]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f1400,plain,
( ~ spl0_164
| spl0_86
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1394,f978,f689,f1397]) ).
fof(f1394,plain,
( ~ ssList(cons(hd(sk4),sk4))
| spl0_86
| ~ spl0_129 ),
inference(forward_demodulation,[],[f691,f980]) ).
fof(f691,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_86 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f1393,plain,
( spl0_163
| ~ spl0_79
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1096,f689,f570,f1390]) ).
fof(f1390,plain,
( spl0_163
<=> duplicatefreeP(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1096,plain,
( duplicatefreeP(cons(hd(sk4),nil))
| ~ spl0_79
| ~ spl0_86 ),
inference(resolution,[],[f690,f571]) ).
fof(f1334,plain,
spl0_162,
inference(avatar_split_clause,[],[f235,f1332]) ).
fof(f1332,plain,
( spl0_162
<=> ! [X0,X1,X3] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f235,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f1330,plain,
spl0_161,
inference(avatar_split_clause,[],[f151,f1328]) ).
fof(f1328,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f1326,plain,
spl0_160,
inference(avatar_split_clause,[],[f150,f1324]) ).
fof(f1324,plain,
( spl0_160
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f1322,plain,
spl0_159,
inference(avatar_split_clause,[],[f133,f1320]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f1277,plain,
spl0_158,
inference(avatar_split_clause,[],[f156,f1275]) ).
fof(f1275,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f1273,plain,
spl0_157,
inference(avatar_split_clause,[],[f155,f1271]) ).
fof(f1271,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f1269,plain,
spl0_156,
inference(avatar_split_clause,[],[f154,f1267]) ).
fof(f1267,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f1254,plain,
spl0_155,
inference(avatar_split_clause,[],[f153,f1252]) ).
fof(f1252,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f1250,plain,
spl0_154,
inference(avatar_split_clause,[],[f152,f1248]) ).
fof(f1248,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f1246,plain,
spl0_153,
inference(avatar_split_clause,[],[f148,f1244]) ).
fof(f1244,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f1242,plain,
spl0_152,
inference(avatar_split_clause,[],[f147,f1240]) ).
fof(f1240,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f1238,plain,
spl0_151,
inference(avatar_split_clause,[],[f146,f1236]) ).
fof(f1236,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f1234,plain,
spl0_150,
inference(avatar_split_clause,[],[f135,f1232]) ).
fof(f1232,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f1230,plain,
spl0_149,
inference(avatar_split_clause,[],[f134,f1228]) ).
fof(f1228,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f1155,plain,
spl0_148,
inference(avatar_split_clause,[],[f141,f1153]) ).
fof(f1153,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f1151,plain,
spl0_147,
inference(avatar_split_clause,[],[f140,f1149]) ).
fof(f1149,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f1147,plain,
spl0_146,
inference(avatar_split_clause,[],[f139,f1145]) ).
fof(f1145,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f1143,plain,
spl0_145,
inference(avatar_split_clause,[],[f137,f1141]) ).
fof(f1141,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f1139,plain,
spl0_144,
inference(avatar_split_clause,[],[f136,f1137]) ).
fof(f1137,plain,
( spl0_144
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f1128,plain,
spl0_143,
inference(avatar_split_clause,[],[f132,f1126]) ).
fof(f1126,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f1124,plain,
spl0_142,
inference(avatar_split_clause,[],[f131,f1122]) ).
fof(f1122,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f1120,plain,
spl0_141,
inference(avatar_split_clause,[],[f123,f1118]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f1090,plain,
( ~ spl0_87
| ~ spl0_12
| spl0_86
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f750,f727,f689,f298,f693]) ).
fof(f750,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_86
| ~ spl0_95 ),
inference(resolution,[],[f728,f691]) ).
fof(f1060,plain,
spl0_140,
inference(avatar_split_clause,[],[f222,f1058]) ).
fof(f1058,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f1056,plain,
spl0_139,
inference(avatar_split_clause,[],[f221,f1054]) ).
fof(f221,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f1052,plain,
spl0_138,
inference(avatar_split_clause,[],[f130,f1050]) ).
fof(f1050,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f1048,plain,
spl0_137,
inference(avatar_split_clause,[],[f129,f1046]) ).
fof(f1046,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f1044,plain,
spl0_136,
inference(avatar_split_clause,[],[f128,f1042]) ).
fof(f1042,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f1040,plain,
spl0_135,
inference(avatar_split_clause,[],[f127,f1038]) ).
fof(f1038,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f1036,plain,
spl0_134,
inference(avatar_split_clause,[],[f126,f1034]) ).
fof(f1034,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f1032,plain,
spl0_133,
inference(avatar_split_clause,[],[f125,f1030]) ).
fof(f1030,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f1028,plain,
spl0_132,
inference(avatar_split_clause,[],[f124,f1026]) ).
fof(f1026,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f1024,plain,
spl0_131,
inference(avatar_split_clause,[],[f122,f1022]) ).
fof(f1022,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f1020,plain,
spl0_130,
inference(avatar_split_clause,[],[f120,f1018]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f981,plain,
( ~ spl0_2
| spl0_129
| spl0_87
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f733,f707,f693,f978,f248]) ).
fof(f733,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_87
| ~ spl0_90 ),
inference(resolution,[],[f708,f695]) ).
fof(f943,plain,
spl0_128,
inference(avatar_split_clause,[],[f119,f941]) ).
fof(f941,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f939,plain,
spl0_127,
inference(avatar_split_clause,[],[f118,f937]) ).
fof(f937,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f935,plain,
spl0_126,
inference(avatar_split_clause,[],[f109,f933]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f931,plain,
spl0_125,
inference(avatar_split_clause,[],[f104,f929]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f919,plain,
( spl0_124
| ~ spl0_2
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f675,f613,f248,f916]) ).
fof(f916,plain,
( spl0_124
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f675,plain,
( sk4 = app(nil,sk4)
| ~ spl0_2
| ~ spl0_82 ),
inference(resolution,[],[f614,f250]) ).
fof(f868,plain,
spl0_123,
inference(avatar_split_clause,[],[f216,f866]) ).
fof(f216,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f864,plain,
spl0_122,
inference(avatar_split_clause,[],[f114,f862]) ).
fof(f862,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f860,plain,
( spl0_121
| ~ spl0_1
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f674,f613,f243,f857]) ).
fof(f857,plain,
( spl0_121
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f674,plain,
( sk3 = app(nil,sk3)
| ~ spl0_1
| ~ spl0_82 ),
inference(resolution,[],[f614,f245]) ).
fof(f855,plain,
spl0_120,
inference(avatar_split_clause,[],[f110,f853]) ).
fof(f853,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f851,plain,
spl0_119,
inference(avatar_split_clause,[],[f108,f849]) ).
fof(f849,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f847,plain,
spl0_118,
inference(avatar_split_clause,[],[f107,f845]) ).
fof(f845,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f843,plain,
spl0_117,
inference(avatar_split_clause,[],[f106,f841]) ).
fof(f841,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f839,plain,
spl0_116,
inference(avatar_split_clause,[],[f105,f837]) ).
fof(f837,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f835,plain,
spl0_115,
inference(avatar_split_clause,[],[f103,f833]) ).
fof(f833,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f831,plain,
spl0_114,
inference(avatar_split_clause,[],[f102,f829]) ).
fof(f829,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f827,plain,
spl0_113,
inference(avatar_split_clause,[],[f101,f825]) ).
fof(f825,plain,
( spl0_113
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f823,plain,
spl0_112,
inference(avatar_split_clause,[],[f100,f821]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f819,plain,
spl0_111,
inference(avatar_split_clause,[],[f97,f817]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f815,plain,
( spl0_110
| ~ spl0_2
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f645,f609,f248,f812]) ).
fof(f812,plain,
( spl0_110
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f645,plain,
( sk4 = app(sk4,nil)
| ~ spl0_2
| ~ spl0_81 ),
inference(resolution,[],[f610,f250]) ).
fof(f810,plain,
spl0_109,
inference(avatar_split_clause,[],[f96,f808]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f806,plain,
( spl0_108
| ~ spl0_1
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f644,f609,f243,f803]) ).
fof(f803,plain,
( spl0_108
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f644,plain,
( sk3 = app(sk3,nil)
| ~ spl0_1
| ~ spl0_81 ),
inference(resolution,[],[f610,f245]) ).
fof(f801,plain,
spl0_107,
inference(avatar_split_clause,[],[f237,f799]) ).
fof(f799,plain,
( spl0_107
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f237,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f797,plain,
spl0_106,
inference(avatar_split_clause,[],[f99,f795]) ).
fof(f795,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f793,plain,
spl0_105,
inference(avatar_split_clause,[],[f98,f791]) ).
fof(f791,plain,
( spl0_105
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f789,plain,
spl0_104,
inference(avatar_split_clause,[],[f95,f787]) ).
fof(f787,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f785,plain,
spl0_103,
inference(avatar_split_clause,[],[f94,f783]) ).
fof(f783,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f781,plain,
spl0_102,
inference(avatar_split_clause,[],[f93,f779]) ).
fof(f779,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f777,plain,
spl0_101,
inference(avatar_split_clause,[],[f92,f775]) ).
fof(f775,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f773,plain,
spl0_100,
inference(avatar_split_clause,[],[f91,f771]) ).
fof(f771,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f769,plain,
spl0_99,
inference(avatar_split_clause,[],[f90,f767]) ).
fof(f767,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f765,plain,
spl0_98,
inference(avatar_split_clause,[],[f89,f763]) ).
fof(f763,plain,
( spl0_98
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f761,plain,
spl0_97,
inference(avatar_split_clause,[],[f88,f759]) ).
fof(f759,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f757,plain,
spl0_96,
inference(avatar_split_clause,[],[f87,f755]) ).
fof(f755,plain,
( spl0_96
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f729,plain,
spl0_95,
inference(avatar_split_clause,[],[f86,f727]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f725,plain,
spl0_94,
inference(avatar_split_clause,[],[f85,f723]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f721,plain,
spl0_93,
inference(avatar_split_clause,[],[f84,f719]) ).
fof(f719,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f717,plain,
spl0_92,
inference(avatar_split_clause,[],[f82,f715]) ).
fof(f715,plain,
( spl0_92
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f713,plain,
spl0_91,
inference(avatar_split_clause,[],[f80,f711]) ).
fof(f711,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f709,plain,
spl0_90,
inference(avatar_split_clause,[],[f78,f707]) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f705,plain,
spl0_89,
inference(avatar_split_clause,[],[f77,f703]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f701,plain,
( spl0_88
| ~ spl0_2
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f602,f570,f248,f698]) ).
fof(f602,plain,
( duplicatefreeP(sk4)
| ~ spl0_2
| ~ spl0_79 ),
inference(resolution,[],[f571,f250]) ).
fof(f696,plain,
( spl0_83
| ~ spl0_84
| ~ spl0_3
| ~ spl0_85
| ~ spl0_86
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f207,f693,f689,f685,f253,f681,f677]) ).
fof(f207,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(app(cons(hd(sk4),nil),sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 = app(cons(hd(sk4),nil),sk3) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X7] :
( ~ ssItem(hd(sk4))
| ~ ssList(X7)
| ~ ssList(app(X7,sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 = app(X7,sk3)
| cons(hd(sk4),nil) != X7 ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X6,X7] :
( ~ ssItem(hd(sk4))
| ~ ssList(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 = X6
| app(X7,sk3) != X6
| cons(hd(sk4),nil) != X7 ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( ~ ssItem(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 = X6
| hd(sk4) != X8
| app(X7,sk3) != X6
| cons(X8,nil) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f615,plain,
spl0_82,
inference(avatar_split_clause,[],[f74,f613]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f611,plain,
spl0_81,
inference(avatar_split_clause,[],[f73,f609]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f607,plain,
( spl0_80
| ~ spl0_1
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f601,f570,f243,f604]) ).
fof(f604,plain,
( spl0_80
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f601,plain,
( duplicatefreeP(sk3)
| ~ spl0_1
| ~ spl0_79 ),
inference(resolution,[],[f571,f245]) ).
fof(f572,plain,
( spl0_78
| spl0_79 ),
inference(avatar_split_clause,[],[f72,f570,f567]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f565,plain,
spl0_77,
inference(avatar_split_clause,[],[f70,f563]) ).
fof(f563,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f561,plain,
spl0_76,
inference(avatar_split_clause,[],[f69,f559]) ).
fof(f559,plain,
( spl0_76
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f557,plain,
spl0_75,
inference(avatar_split_clause,[],[f68,f555]) ).
fof(f555,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f553,plain,
spl0_74,
inference(avatar_split_clause,[],[f67,f551]) ).
fof(f551,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f549,plain,
spl0_73,
inference(avatar_split_clause,[],[f66,f547]) ).
fof(f547,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f545,plain,
spl0_72,
inference(avatar_split_clause,[],[f65,f543]) ).
fof(f543,plain,
( spl0_72
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f541,plain,
spl0_71,
inference(avatar_split_clause,[],[f64,f539]) ).
fof(f539,plain,
( spl0_71
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f537,plain,
spl0_70,
inference(avatar_split_clause,[],[f240,f535]) ).
fof(f240,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f533,plain,
spl0_69,
inference(avatar_split_clause,[],[f238,f531]) ).
fof(f238,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f529,plain,
spl0_68,
inference(avatar_split_clause,[],[f71,f527]) ).
fof(f527,plain,
( spl0_68
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f525,plain,
spl0_67,
inference(avatar_split_clause,[],[f63,f523]) ).
fof(f523,plain,
( spl0_67
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f521,plain,
spl0_66,
inference(avatar_split_clause,[],[f62,f519]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f517,plain,
spl0_65,
inference(avatar_split_clause,[],[f61,f515]) ).
fof(f515,plain,
( spl0_65
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f513,plain,
spl0_64,
inference(avatar_split_clause,[],[f60,f511]) ).
fof(f511,plain,
( spl0_64
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f509,plain,
spl0_63,
inference(avatar_split_clause,[],[f59,f507]) ).
fof(f507,plain,
( spl0_63
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f505,plain,
spl0_62,
inference(avatar_split_clause,[],[f58,f503]) ).
fof(f503,plain,
( spl0_62
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f501,plain,
spl0_61,
inference(avatar_split_clause,[],[f57,f499]) ).
fof(f499,plain,
( spl0_61
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f497,plain,
spl0_60,
inference(avatar_split_clause,[],[f56,f495]) ).
fof(f495,plain,
( spl0_60
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f493,plain,
spl0_59,
inference(avatar_split_clause,[],[f55,f491]) ).
fof(f491,plain,
( spl0_59
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f489,plain,
spl0_58,
inference(avatar_split_clause,[],[f53,f487]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f485,plain,
spl0_57,
inference(avatar_split_clause,[],[f52,f483]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f481,plain,
spl0_56,
inference(avatar_split_clause,[],[f51,f479]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f477,plain,
spl0_55,
inference(avatar_split_clause,[],[f50,f475]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f473,plain,
spl0_54,
inference(avatar_split_clause,[],[f49,f471]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f469,plain,
spl0_53,
inference(avatar_split_clause,[],[f48,f467]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f465,plain,
~ spl0_52,
inference(avatar_split_clause,[],[f54,f462]) ).
fof(f462,plain,
( spl0_52
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f460,plain,
spl0_51,
inference(avatar_split_clause,[],[f47,f458]) ).
fof(f458,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f456,plain,
spl0_50,
inference(avatar_split_clause,[],[f46,f454]) ).
fof(f454,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f452,plain,
spl0_49,
inference(avatar_split_clause,[],[f45,f450]) ).
fof(f450,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f448,plain,
spl0_48,
inference(avatar_split_clause,[],[f44,f446]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f444,plain,
spl0_47,
inference(avatar_split_clause,[],[f43,f442]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f440,plain,
spl0_46,
inference(avatar_split_clause,[],[f42,f438]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f436,plain,
spl0_45,
inference(avatar_split_clause,[],[f41,f434]) ).
fof(f434,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f432,plain,
spl0_44,
inference(avatar_split_clause,[],[f40,f430]) ).
fof(f430,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f428,plain,
spl0_43,
inference(avatar_split_clause,[],[f39,f426]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f424,plain,
spl0_42,
inference(avatar_split_clause,[],[f38,f422]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f420,plain,
spl0_41,
inference(avatar_split_clause,[],[f37,f418]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f416,plain,
spl0_40,
inference(avatar_split_clause,[],[f36,f414]) ).
fof(f414,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f412,plain,
spl0_39,
inference(avatar_split_clause,[],[f35,f410]) ).
fof(f410,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f408,plain,
spl0_38,
inference(avatar_split_clause,[],[f34,f406]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f404,plain,
spl0_37,
inference(avatar_split_clause,[],[f33,f402]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f400,plain,
spl0_36,
inference(avatar_split_clause,[],[f32,f398]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f396,plain,
spl0_35,
inference(avatar_split_clause,[],[f31,f394]) ).
fof(f394,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f392,plain,
spl0_34,
inference(avatar_split_clause,[],[f30,f390]) ).
fof(f390,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f388,plain,
spl0_33,
inference(avatar_split_clause,[],[f29,f386]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f384,plain,
spl0_32,
inference(avatar_split_clause,[],[f28,f382]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f380,plain,
spl0_31,
inference(avatar_split_clause,[],[f27,f378]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f376,plain,
spl0_30,
inference(avatar_split_clause,[],[f26,f374]) ).
fof(f374,plain,
( spl0_30
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f372,plain,
spl0_29,
inference(avatar_split_clause,[],[f25,f370]) ).
fof(f370,plain,
( spl0_29
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f368,plain,
spl0_28,
inference(avatar_split_clause,[],[f24,f366]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f364,plain,
spl0_27,
inference(avatar_split_clause,[],[f23,f362]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f360,plain,
spl0_26,
inference(avatar_split_clause,[],[f22,f358]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f356,plain,
spl0_25,
inference(avatar_split_clause,[],[f21,f354]) ).
fof(f354,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f352,plain,
spl0_24,
inference(avatar_split_clause,[],[f20,f350]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f348,plain,
spl0_23,
inference(avatar_split_clause,[],[f19,f346]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f344,plain,
spl0_22,
inference(avatar_split_clause,[],[f18,f342]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f340,plain,
spl0_21,
inference(avatar_split_clause,[],[f17,f338]) ).
fof(f338,plain,
( spl0_21
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f336,plain,
spl0_20,
inference(avatar_split_clause,[],[f16,f334]) ).
fof(f334,plain,
( spl0_20
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f332,plain,
spl0_19,
inference(avatar_split_clause,[],[f15,f330]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f328,plain,
spl0_18,
inference(avatar_split_clause,[],[f14,f326]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f324,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f322]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f320,plain,
spl0_16,
inference(avatar_split_clause,[],[f12,f318]) ).
fof(f318,plain,
( spl0_16
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f316,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f11,f313]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f311,plain,
spl0_14,
inference(avatar_split_clause,[],[f10,f308]) ).
fof(f308,plain,
( spl0_14
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f306,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f303]) ).
fof(f303,plain,
( spl0_13
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f301,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f298]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f296,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f293]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f291,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f288]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f286,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f283]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f281,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f278]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f276,plain,
spl0_7,
inference(avatar_split_clause,[],[f3,f273]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f271,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f268]) ).
fof(f268,plain,
( spl0_6
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f266,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f263]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f261,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f200,f258,f253]) ).
fof(f200,plain,
( ~ rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f197,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f256,plain,
spl0_3,
inference(avatar_split_clause,[],[f241,f253]) ).
fof(f241,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f251,plain,
spl0_2,
inference(avatar_split_clause,[],[f199,f248]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f246,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f243]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC366-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 02:37:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (29602)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37 % (29606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (29605)WARNING: value z3 for option sas not known
% 0.19/0.38 % (29604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.38 % (29605)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)
% 0.19/0.38 % (29603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.39 % (29609)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)
% 0.19/0.39 % (29608)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)
% 0.19/0.40 % (29607)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)
% 0.19/0.40 TRYING [1]
% 0.19/0.40 TRYING [2]
% 0.19/0.41 TRYING [3]
% 0.19/0.44 TRYING [1]
% 0.19/0.44 TRYING [4]
% 0.19/0.44 TRYING [2]
% 0.19/0.49 % (29607)First to succeed.
% 0.19/0.50 % (29607)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29602"
% 0.19/0.50 % (29607)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (29607)------------------------------
% 0.19/0.51 % (29607)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.51 % (29607)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (29607)Memory used [KB]: 3307
% 0.19/0.51 % (29607)Time elapsed: 0.141 s
% 0.19/0.51 % (29607)Instructions burned: 255 (million)
% 0.19/0.51 % (29602)Success in time 0.162 s
%------------------------------------------------------------------------------