TSTP Solution File: SWC330-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC330-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:25:03 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 497
% Syntax : Number of formulae : 1057 ( 236 unt; 0 def)
% Number of atoms : 3191 ( 362 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3853 (1719 ~;1827 |; 0 &)
% ( 307 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 328 ( 326 usr; 308 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% Number of variables : 921 ( 921 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3957,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f258,f263,f268,f274,f279,f281,f291,f298,f303,f308,f315,f320,f322,f328,f334,f339,f345,f348,f351,f357,f364,f370,f376,f383,f390,f395,f400,f405,f410,f415,f420,f425,f430,f434,f438,f442,f446,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f538,f542,f546,f550,f554,f558,f562,f566,f570,f574,f578,f582,f587,f591,f595,f599,f603,f607,f611,f615,f619,f623,f627,f631,f635,f639,f643,f647,f651,f655,f659,f661,f665,f669,f673,f677,f681,f685,f689,f696,f739,f744,f748,f816,f820,f824,f828,f832,f837,f841,f845,f872,f877,f881,f885,f889,f893,f897,f901,f905,f909,f913,f917,f921,f928,f932,f936,f940,f944,f948,f952,f956,f960,f964,f968,f972,f976,f1023,f1040,f1044,f1048,f1052,f1128,f1132,f1136,f1141,f1145,f1149,f1153,f1157,f1161,f1165,f1169,f1173,f1233,f1238,f1242,f1246,f1250,f1254,f1258,f1262,f1266,f1332,f1336,f1340,f1344,f1348,f1353,f1357,f1361,f1365,f1369,f1373,f1411,f1415,f1419,f1423,f1463,f1480,f1484,f1488,f1492,f1496,f1500,f1504,f1609,f1613,f1617,f1622,f1626,f1630,f1634,f1638,f1680,f1690,f1694,f1711,f1715,f1719,f1723,f1727,f1732,f1911,f1917,f1924,f1929,f1936,f1940,f1950,f1954,f1958,f1969,f1977,f1982,f1987,f2136,f2142,f2147,f2151,f2227,f2232,f2273,f2280,f2324,f2368,f2408,f2413,f2453,f2493,f2533,f2577,f2582,f2587,f2627,f2666,f2706,f2746,f2751,f2755,f2759,f2763,f2767,f2771,f2775,f2779,f2783,f2787,f2791,f2796,f2800,f2804,f2808,f2812,f2816,f2820,f2824,f2828,f2832,f2836,f2841,f2846,f2851,f2855,f2861,f2909,f2952,f2995,f3000,f3055,f3060,f3064,f3140,f3185,f3213,f3217,f3221,f3225,f3229,f3233,f3238,f3459,f3472,f3485,f3499,f3513,f3527,f3531,f3535,f3539,f3543,f3547,f3557,f3592,f3631,f3670,f3716,f3725,f3764,f3765,f3803,f3807,f3848,f3896,f3943,f3955,f3956]) ).
fof(f3956,plain,
( spl0_4
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3945,f251,f271,f255]) ).
fof(f255,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f271,plain,
( spl0_7
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f251,plain,
( spl0_3
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3945,plain,
( sk3 = sk4
| ssItem(sk5)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f193,f253]) ).
fof(f253,plain,
( nil = sk4
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f193,axiom,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f3955,plain,
( spl0_300
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f3861,f392,f251,f3667]) ).
fof(f3667,plain,
( spl0_300
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f392,plain,
( spl0_24
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f3861,plain,
( strictorderP(sk4)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f394,f253]) ).
fof(f394,plain,
( strictorderP(nil)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f3943,plain,
( spl0_31
| spl0_6 ),
inference(avatar_split_clause,[],[f203,f265,f427]) ).
fof(f427,plain,
( spl0_31
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f265,plain,
( spl0_6
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f203,axiom,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f3896,plain,
( spl0_307
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f388,f305,f251,f3893]) ).
fof(f3893,plain,
( spl0_307
<=> sk3 = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f305,plain,
( spl0_13
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f388,plain,
( sk3 = cons(sk5,sk4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f307,f253]) ).
fof(f307,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f3848,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3813,f317,f265,f288]) ).
fof(f288,plain,
( spl0_10
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f317,plain,
( spl0_15
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3813,plain,
( equalelemsP(sk3)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f319,f267]) ).
fof(f267,plain,
( nil = sk3
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f319,plain,
( equalelemsP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f3807,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_13
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f729,f663,f305,f288,f255]) ).
fof(f663,plain,
( spl0_89
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f729,plain,
( equalelemsP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_89 ),
inference(superposition,[],[f664,f307]) ).
fof(f664,plain,
( ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f3803,plain,
( ~ spl0_8
| ~ spl0_5
| ~ spl0_2
| ~ spl0_1
| spl0_9
| ~ spl0_31
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1704,f1692,f427,f284,f241,f246,f260,f276]) ).
fof(f276,plain,
( spl0_8
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f260,plain,
( spl0_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f246,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f241,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f284,plain,
( spl0_9
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1692,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f1704,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_31
| ~ spl0_194 ),
inference(superposition,[],[f1693,f429]) ).
fof(f429,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f1693,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f3765,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_107
| spl0_231 ),
inference(avatar_split_clause,[],[f2578,f2570,f839,f260,f246]) ).
fof(f839,plain,
( spl0_107
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2570,plain,
( spl0_231
<=> ssList(app(sk6,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2578,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_107
| spl0_231 ),
inference(resolution,[],[f2572,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f2572,plain,
( ~ ssList(app(sk6,sk3))
| spl0_231 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f3764,plain,
( spl0_305
| spl0_306
| ~ spl0_8
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f1872,f1721,f276,f3761,f3757]) ).
fof(f3757,plain,
( spl0_305
<=> sk7 = app(app(skaf56(sk7),cons(skaf54(sk7),skaf57(sk7))),cons(skaf55(sk7),skaf58(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3761,plain,
( spl0_306
<=> totalorderP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f1721,plain,
( spl0_198
<=> ! [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_198])]) ).
fof(f1872,plain,
( totalorderP(sk7)
| sk7 = app(app(skaf56(sk7),cons(skaf54(sk7),skaf57(sk7))),cons(skaf55(sk7),skaf58(sk7)))
| ~ spl0_8
| ~ spl0_198 ),
inference(resolution,[],[f1722,f278]) ).
fof(f278,plain,
( ssList(sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f1722,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f3725,plain,
( spl0_303
| spl0_304
| ~ spl0_1
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f1870,f1721,f241,f3722,f3718]) ).
fof(f3718,plain,
( spl0_303
<=> sk4 = app(app(skaf56(sk4),cons(skaf54(sk4),skaf57(sk4))),cons(skaf55(sk4),skaf58(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f3722,plain,
( spl0_304
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f1870,plain,
( totalorderP(sk4)
| sk4 = app(app(skaf56(sk4),cons(skaf54(sk4),skaf57(sk4))),cons(skaf55(sk4),skaf58(sk4)))
| ~ spl0_1
| ~ spl0_198 ),
inference(resolution,[],[f1722,f243]) ).
fof(f243,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f3716,plain,
( spl0_301
| spl0_302
| ~ spl0_8
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1837,f1717,f276,f3713,f3709]) ).
fof(f3709,plain,
( spl0_301
<=> sk7 = app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f3713,plain,
( spl0_302
<=> strictorderP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1717,plain,
( spl0_197
<=> ! [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_197])]) ).
fof(f1837,plain,
( strictorderP(sk7)
| sk7 = app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7)))
| ~ spl0_8
| ~ spl0_197 ),
inference(resolution,[],[f1718,f278]) ).
fof(f1718,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f3670,plain,
( spl0_299
| spl0_300
| ~ spl0_1
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1835,f1717,f241,f3667,f3663]) ).
fof(f3663,plain,
( spl0_299
<=> sk4 = app(app(skaf61(sk4),cons(skaf59(sk4),skaf62(sk4))),cons(skaf60(sk4),skaf63(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1835,plain,
( strictorderP(sk4)
| sk4 = app(app(skaf61(sk4),cons(skaf59(sk4),skaf62(sk4))),cons(skaf60(sk4),skaf63(sk4)))
| ~ spl0_1
| ~ spl0_197 ),
inference(resolution,[],[f1718,f243]) ).
fof(f3631,plain,
( spl0_297
| spl0_298
| ~ spl0_8
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1802,f1713,f276,f3628,f3624]) ).
fof(f3624,plain,
( spl0_297
<=> sk7 = app(app(skaf66(sk7),cons(skaf64(sk7),skaf67(sk7))),cons(skaf65(sk7),skaf68(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3628,plain,
( spl0_298
<=> totalorderedP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1713,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f1802,plain,
( totalorderedP(sk7)
| sk7 = app(app(skaf66(sk7),cons(skaf64(sk7),skaf67(sk7))),cons(skaf65(sk7),skaf68(sk7)))
| ~ spl0_8
| ~ spl0_196 ),
inference(resolution,[],[f1714,f278]) ).
fof(f1714,plain,
( ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f3592,plain,
( spl0_296
| spl0_23
| ~ spl0_1
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1800,f1713,f241,f380,f3589]) ).
fof(f3589,plain,
( spl0_296
<=> sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f380,plain,
( spl0_23
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1800,plain,
( totalorderedP(sk4)
| sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
| ~ spl0_1
| ~ spl0_196 ),
inference(resolution,[],[f1714,f243]) ).
fof(f3557,plain,
( spl0_294
| spl0_295
| ~ spl0_8
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1767,f1709,f276,f3554,f3550]) ).
fof(f3550,plain,
( spl0_294
<=> sk7 = app(app(skaf71(sk7),cons(skaf69(sk7),skaf72(sk7))),cons(skaf70(sk7),skaf73(sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3554,plain,
( spl0_295
<=> strictorderedP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f1709,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f1767,plain,
( strictorderedP(sk7)
| sk7 = app(app(skaf71(sk7),cons(skaf69(sk7),skaf72(sk7))),cons(skaf70(sk7),skaf73(sk7)))
| ~ spl0_8
| ~ spl0_195 ),
inference(resolution,[],[f1710,f278]) ).
fof(f1710,plain,
( ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f3547,plain,
( spl0_293
| ~ spl0_76
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f724,f694,f609,f3545]) ).
fof(f3545,plain,
( spl0_293
<=> ! [X0,X1] : duplicatefreeP(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f609,plain,
( spl0_76
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f694,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f724,plain,
( ! [X0,X1] : duplicatefreeP(skaf42(X0,X1))
| ~ spl0_76
| ~ spl0_97 ),
inference(resolution,[],[f695,f610]) ).
fof(f610,plain,
( ! [X0,X1] : ssList(skaf42(X0,X1))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f695,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f3543,plain,
( spl0_292
| ~ spl0_75
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f723,f694,f605,f3541]) ).
fof(f3541,plain,
( spl0_292
<=> ! [X0,X1] : duplicatefreeP(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f605,plain,
( spl0_75
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f723,plain,
( ! [X0,X1] : duplicatefreeP(skaf43(X0,X1))
| ~ spl0_75
| ~ spl0_97 ),
inference(resolution,[],[f695,f606]) ).
fof(f606,plain,
( ! [X0,X1] : ssList(skaf43(X0,X1))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f3539,plain,
( spl0_291
| ~ spl0_74
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f722,f694,f601,f3537]) ).
fof(f3537,plain,
( spl0_291
<=> ! [X0,X1] : duplicatefreeP(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f601,plain,
( spl0_74
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f722,plain,
( ! [X0,X1] : duplicatefreeP(skaf45(X0,X1))
| ~ spl0_74
| ~ spl0_97 ),
inference(resolution,[],[f695,f602]) ).
fof(f602,plain,
( ! [X0,X1] : ssList(skaf45(X0,X1))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f3535,plain,
( spl0_290
| ~ spl0_73
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f721,f694,f597,f3533]) ).
fof(f3533,plain,
( spl0_290
<=> ! [X0,X1] : duplicatefreeP(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f597,plain,
( spl0_73
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f721,plain,
( ! [X0,X1] : duplicatefreeP(skaf46(X0,X1))
| ~ spl0_73
| ~ spl0_97 ),
inference(resolution,[],[f695,f598]) ).
fof(f598,plain,
( ! [X0,X1] : ssList(skaf46(X0,X1))
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f3531,plain,
( spl0_289
| ~ spl0_72
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f720,f694,f593,f3529]) ).
fof(f3529,plain,
( spl0_289
<=> ! [X0,X1] : duplicatefreeP(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f593,plain,
( spl0_72
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f720,plain,
( ! [X0,X1] : duplicatefreeP(skaf47(X0,X1))
| ~ spl0_72
| ~ spl0_97 ),
inference(resolution,[],[f695,f594]) ).
fof(f594,plain,
( ! [X0,X1] : ssList(skaf47(X0,X1))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f3527,plain,
( spl0_288
| ~ spl0_71
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f719,f694,f589,f3525]) ).
fof(f3525,plain,
( spl0_288
<=> ! [X0,X1] : duplicatefreeP(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f589,plain,
( spl0_71
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f719,plain,
( ! [X0,X1] : duplicatefreeP(skaf48(X0,X1))
| ~ spl0_71
| ~ spl0_97 ),
inference(resolution,[],[f695,f590]) ).
fof(f590,plain,
( ! [X0,X1] : ssList(skaf48(X0,X1))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f3513,plain,
( ~ spl0_27
| ~ spl0_4
| spl0_287
| ~ spl0_13
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1684,f1636,f305,f3511,f255,f407]) ).
fof(f407,plain,
( spl0_27
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f3511,plain,
( spl0_287
<=> ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sk3)
| ~ ssItem(X0)
| sk5 = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1636,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f1684,plain,
( ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sk3)
| ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssList(nil)
| sk5 = X0
| ~ ssItem(X0) )
| ~ spl0_13
| ~ spl0_191 ),
inference(superposition,[],[f1637,f307]) ).
fof(f1637,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f3499,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_286
| ~ spl0_13
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1683,f1636,f305,f3497,f407,f255]) ).
fof(f3497,plain,
( spl0_286
<=> ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| sk5 = X0
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1683,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sk5 = X0
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_191 ),
inference(superposition,[],[f1637,f307]) ).
fof(f3485,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_285
| ~ spl0_13
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1672,f1632,f305,f3483,f407,f255]) ).
fof(f3483,plain,
( spl0_285
<=> ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1632,plain,
( spl0_190
<=> ! [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_190])]) ).
fof(f1672,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_190 ),
inference(superposition,[],[f1633,f307]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ ssItem(X0) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f3472,plain,
( ~ spl0_27
| ~ spl0_4
| spl0_284
| ~ spl0_13
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1658,f1624,f305,f3470,f255,f407]) ).
fof(f3470,plain,
( spl0_284
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f1624,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f1658,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0) )
| ~ spl0_13
| ~ spl0_188 ),
inference(superposition,[],[f1625,f307]) ).
fof(f1625,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f3459,plain,
( ~ spl0_27
| ~ spl0_4
| spl0_283
| ~ spl0_13
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1654,f1615,f305,f3457,f255,f407]) ).
fof(f3457,plain,
( spl0_283
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| sk5 = X0
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1615,plain,
( spl0_186
<=> ! [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_186])]) ).
fof(f1654,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| sk5 = X0
| ~ ssItem(X0) )
| ~ spl0_13
| ~ spl0_186 ),
inference(superposition,[],[f1616,f307]) ).
fof(f1616,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f3238,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_282
| ~ spl0_13
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1697,f1688,f305,f3236,f407,f255]) ).
fof(f3236,plain,
( spl0_282
<=> ! [X0] :
( memberP(app(X0,sk3),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1688,plain,
( spl0_193
<=> ! [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_193])]) ).
fof(f1697,plain,
( ! [X0] :
( memberP(app(X0,sk3),sk5)
| ~ ssList(app(X0,sk3))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_193 ),
inference(superposition,[],[f1689,f307]) ).
fof(f1689,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f3233,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_281
| ~ spl0_13
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1603,f1502,f305,f3231,f407,f255]) ).
fof(f3231,plain,
( spl0_281
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(nil,X0)
| sk5 = X0
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1502,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f1603,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| sk5 = X0
| memberP(nil,X0)
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_183 ),
inference(superposition,[],[f1503,f307]) ).
fof(f1503,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f3229,plain,
( spl0_280
| ~ spl0_4
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1593,f1486,f255,f3227]) ).
fof(f3227,plain,
( spl0_280
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk5,app(X1,X0)) = app(cons(sk5,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1486,plain,
( spl0_179
<=> ! [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_179])]) ).
fof(f1593,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| cons(sk5,app(X1,X0)) = app(cons(sk5,X1),X0) )
| ~ spl0_4
| ~ spl0_179 ),
inference(resolution,[],[f1487,f257]) ).
fof(f257,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f1487,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f3225,plain,
( spl0_279
| ~ spl0_8
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1574,f1482,f276,f3223]) ).
fof(f3223,plain,
( spl0_279
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1482,plain,
( spl0_178
<=> ! [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_178])]) ).
fof(f1574,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk7,X1),X0) = app(sk7,app(X1,X0)) )
| ~ spl0_8
| ~ spl0_178 ),
inference(resolution,[],[f1483,f278]) ).
fof(f1483,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f3221,plain,
( spl0_278
| ~ spl0_5
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1573,f1482,f260,f3219]) ).
fof(f3219,plain,
( spl0_278
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk6,X1),X0) = app(sk6,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1573,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk6,X1),X0) = app(sk6,app(X1,X0)) )
| ~ spl0_5
| ~ spl0_178 ),
inference(resolution,[],[f1483,f262]) ).
fof(f262,plain,
( ssList(sk6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f3217,plain,
( spl0_277
| ~ spl0_1
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1572,f1482,f241,f3215]) ).
fof(f3215,plain,
( spl0_277
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1572,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ spl0_1
| ~ spl0_178 ),
inference(resolution,[],[f1483,f243]) ).
fof(f3213,plain,
( spl0_276
| ~ spl0_2
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1571,f1482,f246,f3211]) ).
fof(f3211,plain,
( spl0_276
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1571,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(sk3,X1),X0) = app(sk3,app(X1,X0)) )
| ~ spl0_2
| ~ spl0_178 ),
inference(resolution,[],[f1483,f248]) ).
fof(f248,plain,
( ssList(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f3185,plain,
( spl0_274
| spl0_275
| ~ spl0_8
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1539,f1478,f276,f3182,f3178]) ).
fof(f3178,plain,
( spl0_274
<=> sk7 = app(skaf80(sk7),cons(skaf78(sk7),cons(skaf79(sk7),skaf81(sk7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f3182,plain,
( spl0_275
<=> equalelemsP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1478,plain,
( spl0_177
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1539,plain,
( equalelemsP(sk7)
| sk7 = app(skaf80(sk7),cons(skaf78(sk7),cons(skaf79(sk7),skaf81(sk7))))
| ~ spl0_8
| ~ spl0_177 ),
inference(resolution,[],[f1479,f278]) ).
fof(f1479,plain,
( ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f3140,plain,
( spl0_223
| spl0_273
| ~ spl0_5
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1457,f1409,f260,f3138,f2321]) ).
fof(f2321,plain,
( spl0_223
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f3138,plain,
( spl0_273
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk6,X0)) = app(tl(sk6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1409,plain,
( spl0_172
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1457,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk6
| tl(app(sk6,X0)) = app(tl(sk6),X0) )
| ~ spl0_5
| ~ spl0_172 ),
inference(resolution,[],[f1410,f262]) ).
fof(f1410,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f3064,plain,
( spl0_272
| ~ spl0_219
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2856,f2853,f2229,f3062]) ).
fof(f3062,plain,
( spl0_272
<=> ! [X0] :
( app(nil,X0) = tl(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f2229,plain,
( spl0_219
<=> nil = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2853,plain,
( spl0_264
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f2856,plain,
( ! [X0] :
( app(nil,X0) = tl(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_219
| ~ spl0_264 ),
inference(forward_demodulation,[],[f2854,f2231]) ).
fof(f2231,plain,
( nil = tl(sk3)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2854,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f3060,plain,
( spl0_271
| ~ spl0_27
| ~ spl0_187
| ~ spl0_200
| ~ spl0_219
| ~ spl0_265
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f3056,f3053,f2859,f2229,f1729,f1619,f407,f3058]) ).
fof(f3058,plain,
( spl0_271
<=> ! [X0] :
( ~ frontsegP(X0,sk6)
| frontsegP(cons(sk5,X0),sk3)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1619,plain,
( spl0_187
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1729,plain,
( spl0_200
<=> sk6 = app(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2859,plain,
( spl0_265
<=> ! [X0] :
( app(sk6,X0) = tl(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f3053,plain,
( spl0_270
<=> ! [X0] :
( frontsegP(cons(sk5,X0),sk3)
| ~ frontsegP(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f3056,plain,
( ! [X0] :
( ~ frontsegP(X0,sk6)
| frontsegP(cons(sk5,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_27
| ~ spl0_187
| ~ spl0_200
| ~ spl0_219
| ~ spl0_265
| ~ spl0_270 ),
inference(forward_demodulation,[],[f3054,f2899]) ).
fof(f2899,plain,
( nil = sk6
| ~ spl0_27
| ~ spl0_187
| ~ spl0_200
| ~ spl0_219
| ~ spl0_265 ),
inference(forward_demodulation,[],[f2898,f1731]) ).
fof(f1731,plain,
( sk6 = app(sk6,nil)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f2898,plain,
( nil = app(sk6,nil)
| ~ spl0_27
| ~ spl0_187
| ~ spl0_219
| ~ spl0_265 ),
inference(forward_demodulation,[],[f2897,f2231]) ).
fof(f2897,plain,
( app(sk6,nil) = tl(sk3)
| ~ spl0_27
| ~ spl0_187
| ~ spl0_265 ),
inference(forward_demodulation,[],[f2862,f1621]) ).
fof(f1621,plain,
( sk3 = app(sk3,nil)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f2862,plain,
( app(sk6,nil) = tl(app(sk3,nil))
| ~ spl0_27
| ~ spl0_265 ),
inference(resolution,[],[f2860,f409]) ).
fof(f409,plain,
( ssList(nil)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f2860,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk6,X0) = tl(app(sk3,X0)) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f2859]) ).
fof(f3054,plain,
( ! [X0] :
( frontsegP(cons(sk5,X0),sk3)
| ~ frontsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f3055,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_270
| ~ spl0_13
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1476,f1421,f305,f3053,f407,f255]) ).
fof(f1421,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f1476,plain,
( ! [X0] :
( frontsegP(cons(sk5,X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_175 ),
inference(superposition,[],[f1422,f307]) ).
fof(f1422,plain,
( ! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssItem(X3) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f3000,plain,
( spl0_269
| ~ spl0_223
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f2996,f2993,f2321,f2998]) ).
fof(f2998,plain,
( spl0_269
<=> ! [X0] :
( ~ frontsegP(sk6,X0)
| frontsegP(sk3,cons(sk5,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f2993,plain,
( spl0_268
<=> ! [X0] :
( frontsegP(sk3,cons(sk5,X0))
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f2996,plain,
( ! [X0] :
( ~ frontsegP(sk6,X0)
| frontsegP(sk3,cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl0_223
| ~ spl0_268 ),
inference(forward_demodulation,[],[f2994,f2323]) ).
fof(f2323,plain,
( nil = sk6
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2994,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk5,X0))
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f2993]) ).
fof(f2995,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_268
| ~ spl0_13
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1475,f1421,f305,f2993,f407,f255]) ).
fof(f1475,plain,
( ! [X0] :
( frontsegP(sk3,cons(sk5,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0)
| ~ ssItem(sk5) )
| ~ spl0_13
| ~ spl0_175 ),
inference(superposition,[],[f1422,f307]) ).
fof(f2952,plain,
( spl0_225
| spl0_267
| ~ spl0_8
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1458,f1409,f276,f2950,f2365]) ).
fof(f2365,plain,
( spl0_225
<=> nil = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2950,plain,
( spl0_267
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk7,X0)) = app(tl(sk7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1458,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| tl(app(sk7,X0)) = app(tl(sk7),X0) )
| ~ spl0_8
| ~ spl0_172 ),
inference(resolution,[],[f1410,f278]) ).
fof(f2909,plain,
( spl0_3
| spl0_266
| ~ spl0_1
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1456,f1409,f241,f2907,f251]) ).
fof(f2907,plain,
( spl0_266
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk4,X0)) = app(tl(sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1456,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| tl(app(sk4,X0)) = app(tl(sk4),X0) )
| ~ spl0_1
| ~ spl0_172 ),
inference(resolution,[],[f1410,f243]) ).
fof(f2861,plain,
( spl0_265
| ~ spl0_219
| ~ spl0_223
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2857,f2853,f2321,f2229,f2859]) ).
fof(f2857,plain,
( ! [X0] :
( app(sk6,X0) = tl(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_219
| ~ spl0_223
| ~ spl0_264 ),
inference(forward_demodulation,[],[f2856,f2323]) ).
fof(f2855,plain,
( spl0_6
| spl0_264
| ~ spl0_2
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1455,f1409,f246,f2853,f265]) ).
fof(f1455,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_2
| ~ spl0_172 ),
inference(resolution,[],[f1410,f248]) ).
fof(f2851,plain,
( spl0_263
| ~ spl0_25
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2675,f2321,f397,f2848]) ).
fof(f2848,plain,
( spl0_263
<=> totalorderP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f397,plain,
( spl0_25
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2675,plain,
( totalorderP(sk6)
| ~ spl0_25
| ~ spl0_223 ),
inference(superposition,[],[f399,f2323]) ).
fof(f399,plain,
( totalorderP(nil)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f2846,plain,
( spl0_262
| ~ spl0_24
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2674,f2321,f392,f2843]) ).
fof(f2843,plain,
( spl0_262
<=> strictorderP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f2674,plain,
( strictorderP(sk6)
| ~ spl0_24
| ~ spl0_223 ),
inference(superposition,[],[f394,f2323]) ).
fof(f2841,plain,
( spl0_261
| ~ spl0_22
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2673,f2321,f373,f2838]) ).
fof(f2838,plain,
( spl0_261
<=> totalorderedP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f373,plain,
( spl0_22
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2673,plain,
( totalorderedP(sk6)
| ~ spl0_22
| ~ spl0_223 ),
inference(superposition,[],[f375,f2323]) ).
fof(f375,plain,
( totalorderedP(nil)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f2836,plain,
( spl0_260
| ~ spl0_66
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f718,f694,f568,f2834]) ).
fof(f2834,plain,
( spl0_260
<=> ! [X0] : duplicatefreeP(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f568,plain,
( spl0_66
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f718,plain,
( ! [X0] : duplicatefreeP(skaf51(X0))
| ~ spl0_66
| ~ spl0_97 ),
inference(resolution,[],[f695,f569]) ).
fof(f569,plain,
( ! [X0] : ssList(skaf51(X0))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f2832,plain,
( spl0_259
| ~ spl0_65
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f717,f694,f564,f2830]) ).
fof(f2830,plain,
( spl0_259
<=> ! [X0] : duplicatefreeP(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f564,plain,
( spl0_65
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f717,plain,
( ! [X0] : duplicatefreeP(skaf52(X0))
| ~ spl0_65
| ~ spl0_97 ),
inference(resolution,[],[f695,f565]) ).
fof(f565,plain,
( ! [X0] : ssList(skaf52(X0))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f2828,plain,
( spl0_258
| ~ spl0_64
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f716,f694,f560,f2826]) ).
fof(f2826,plain,
( spl0_258
<=> ! [X0] : duplicatefreeP(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f560,plain,
( spl0_64
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f716,plain,
( ! [X0] : duplicatefreeP(skaf53(X0))
| ~ spl0_64
| ~ spl0_97 ),
inference(resolution,[],[f695,f561]) ).
fof(f561,plain,
( ! [X0] : ssList(skaf53(X0))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f2824,plain,
( spl0_257
| ~ spl0_61
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f715,f694,f548,f2822]) ).
fof(f2822,plain,
( spl0_257
<=> ! [X0] : duplicatefreeP(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f548,plain,
( spl0_61
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f715,plain,
( ! [X0] : duplicatefreeP(skaf56(X0))
| ~ spl0_61
| ~ spl0_97 ),
inference(resolution,[],[f695,f549]) ).
fof(f549,plain,
( ! [X0] : ssList(skaf56(X0))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f2820,plain,
( spl0_256
| ~ spl0_60
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f714,f694,f544,f2818]) ).
fof(f2818,plain,
( spl0_256
<=> ! [X0] : duplicatefreeP(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f544,plain,
( spl0_60
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f714,plain,
( ! [X0] : duplicatefreeP(skaf57(X0))
| ~ spl0_60
| ~ spl0_97 ),
inference(resolution,[],[f695,f545]) ).
fof(f545,plain,
( ! [X0] : ssList(skaf57(X0))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f2816,plain,
( spl0_255
| ~ spl0_59
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f713,f694,f540,f2814]) ).
fof(f2814,plain,
( spl0_255
<=> ! [X0] : duplicatefreeP(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f540,plain,
( spl0_59
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f713,plain,
( ! [X0] : duplicatefreeP(skaf58(X0))
| ~ spl0_59
| ~ spl0_97 ),
inference(resolution,[],[f695,f541]) ).
fof(f541,plain,
( ! [X0] : ssList(skaf58(X0))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f2812,plain,
( spl0_254
| ~ spl0_56
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f712,f694,f528,f2810]) ).
fof(f2810,plain,
( spl0_254
<=> ! [X0] : duplicatefreeP(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f528,plain,
( spl0_56
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f712,plain,
( ! [X0] : duplicatefreeP(skaf61(X0))
| ~ spl0_56
| ~ spl0_97 ),
inference(resolution,[],[f695,f529]) ).
fof(f529,plain,
( ! [X0] : ssList(skaf61(X0))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f2808,plain,
( spl0_253
| ~ spl0_55
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f711,f694,f524,f2806]) ).
fof(f2806,plain,
( spl0_253
<=> ! [X0] : duplicatefreeP(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f524,plain,
( spl0_55
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f711,plain,
( ! [X0] : duplicatefreeP(skaf62(X0))
| ~ spl0_55
| ~ spl0_97 ),
inference(resolution,[],[f695,f525]) ).
fof(f525,plain,
( ! [X0] : ssList(skaf62(X0))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f2804,plain,
( spl0_252
| ~ spl0_54
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f710,f694,f520,f2802]) ).
fof(f2802,plain,
( spl0_252
<=> ! [X0] : duplicatefreeP(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f520,plain,
( spl0_54
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f710,plain,
( ! [X0] : duplicatefreeP(skaf63(X0))
| ~ spl0_54
| ~ spl0_97 ),
inference(resolution,[],[f695,f521]) ).
fof(f521,plain,
( ! [X0] : ssList(skaf63(X0))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f2800,plain,
( spl0_251
| ~ spl0_51
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f709,f694,f508,f2798]) ).
fof(f2798,plain,
( spl0_251
<=> ! [X0] : duplicatefreeP(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f508,plain,
( spl0_51
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f709,plain,
( ! [X0] : duplicatefreeP(skaf66(X0))
| ~ spl0_51
| ~ spl0_97 ),
inference(resolution,[],[f695,f509]) ).
fof(f509,plain,
( ! [X0] : ssList(skaf66(X0))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f2796,plain,
( spl0_250
| ~ spl0_18
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2672,f2321,f336,f2793]) ).
fof(f2793,plain,
( spl0_250
<=> strictorderedP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f336,plain,
( spl0_18
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2672,plain,
( strictorderedP(sk6)
| ~ spl0_18
| ~ spl0_223 ),
inference(superposition,[],[f338,f2323]) ).
fof(f338,plain,
( strictorderedP(nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f2791,plain,
( spl0_249
| ~ spl0_50
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f708,f694,f504,f2789]) ).
fof(f2789,plain,
( spl0_249
<=> ! [X0] : duplicatefreeP(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f504,plain,
( spl0_50
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f708,plain,
( ! [X0] : duplicatefreeP(skaf67(X0))
| ~ spl0_50
| ~ spl0_97 ),
inference(resolution,[],[f695,f505]) ).
fof(f505,plain,
( ! [X0] : ssList(skaf67(X0))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f2787,plain,
( spl0_248
| ~ spl0_49
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f707,f694,f500,f2785]) ).
fof(f2785,plain,
( spl0_248
<=> ! [X0] : duplicatefreeP(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f500,plain,
( spl0_49
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f707,plain,
( ! [X0] : duplicatefreeP(skaf68(X0))
| ~ spl0_49
| ~ spl0_97 ),
inference(resolution,[],[f695,f501]) ).
fof(f501,plain,
( ! [X0] : ssList(skaf68(X0))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f2783,plain,
( spl0_247
| ~ spl0_46
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f706,f694,f488,f2781]) ).
fof(f2781,plain,
( spl0_247
<=> ! [X0] : duplicatefreeP(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f488,plain,
( spl0_46
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f706,plain,
( ! [X0] : duplicatefreeP(skaf71(X0))
| ~ spl0_46
| ~ spl0_97 ),
inference(resolution,[],[f695,f489]) ).
fof(f489,plain,
( ! [X0] : ssList(skaf71(X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f2779,plain,
( spl0_246
| ~ spl0_45
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f705,f694,f484,f2777]) ).
fof(f2777,plain,
( spl0_246
<=> ! [X0] : duplicatefreeP(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f484,plain,
( spl0_45
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f705,plain,
( ! [X0] : duplicatefreeP(skaf72(X0))
| ~ spl0_45
| ~ spl0_97 ),
inference(resolution,[],[f695,f485]) ).
fof(f485,plain,
( ! [X0] : ssList(skaf72(X0))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f2775,plain,
( spl0_245
| ~ spl0_44
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f704,f694,f480,f2773]) ).
fof(f2773,plain,
( spl0_245
<=> ! [X0] : duplicatefreeP(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f480,plain,
( spl0_44
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f704,plain,
( ! [X0] : duplicatefreeP(skaf73(X0))
| ~ spl0_44
| ~ spl0_97 ),
inference(resolution,[],[f695,f481]) ).
fof(f481,plain,
( ! [X0] : ssList(skaf73(X0))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f2771,plain,
( spl0_244
| ~ spl0_42
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f703,f694,f472,f2769]) ).
fof(f2769,plain,
( spl0_244
<=> ! [X0] : duplicatefreeP(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f472,plain,
( spl0_42
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f703,plain,
( ! [X0] : duplicatefreeP(skaf75(X0))
| ~ spl0_42
| ~ spl0_97 ),
inference(resolution,[],[f695,f473]) ).
fof(f473,plain,
( ! [X0] : ssList(skaf75(X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f2767,plain,
( spl0_243
| ~ spl0_41
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f702,f694,f468,f2765]) ).
fof(f2765,plain,
( spl0_243
<=> ! [X0] : duplicatefreeP(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f468,plain,
( spl0_41
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f702,plain,
( ! [X0] : duplicatefreeP(skaf76(X0))
| ~ spl0_41
| ~ spl0_97 ),
inference(resolution,[],[f695,f469]) ).
fof(f469,plain,
( ! [X0] : ssList(skaf76(X0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f2763,plain,
( spl0_242
| ~ spl0_40
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f701,f694,f464,f2761]) ).
fof(f2761,plain,
( spl0_242
<=> ! [X0] : duplicatefreeP(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f464,plain,
( spl0_40
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f701,plain,
( ! [X0] : duplicatefreeP(skaf77(X0))
| ~ spl0_40
| ~ spl0_97 ),
inference(resolution,[],[f695,f465]) ).
fof(f465,plain,
( ! [X0] : ssList(skaf77(X0))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f2759,plain,
( spl0_241
| ~ spl0_37
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f700,f694,f452,f2757]) ).
fof(f2757,plain,
( spl0_241
<=> ! [X0] : duplicatefreeP(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f452,plain,
( spl0_37
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f700,plain,
( ! [X0] : duplicatefreeP(skaf80(X0))
| ~ spl0_37
| ~ spl0_97 ),
inference(resolution,[],[f695,f453]) ).
fof(f453,plain,
( ! [X0] : ssList(skaf80(X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f2755,plain,
( spl0_240
| ~ spl0_36
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f699,f694,f448,f2753]) ).
fof(f2753,plain,
( spl0_240
<=> ! [X0] : duplicatefreeP(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f448,plain,
( spl0_36
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f699,plain,
( ! [X0] : duplicatefreeP(skaf81(X0))
| ~ spl0_36
| ~ spl0_97 ),
inference(resolution,[],[f695,f449]) ).
fof(f449,plain,
( ! [X0] : ssList(skaf81(X0))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f2751,plain,
( spl0_239
| ~ spl0_15
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2670,f2321,f317,f2748]) ).
fof(f2748,plain,
( spl0_239
<=> equalelemsP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2670,plain,
( equalelemsP(sk6)
| ~ spl0_15
| ~ spl0_223 ),
inference(superposition,[],[f319,f2323]) ).
fof(f2746,plain,
( spl0_238
| ~ spl0_35
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f698,f694,f444,f2744]) ).
fof(f2744,plain,
( spl0_238
<=> ! [X0] : duplicatefreeP(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f444,plain,
( spl0_35
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f698,plain,
( ! [X0] : duplicatefreeP(skaf82(X0))
| ~ spl0_35
| ~ spl0_97 ),
inference(resolution,[],[f695,f445]) ).
fof(f445,plain,
( ! [X0] : ssList(skaf82(X0))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f2706,plain,
( spl0_225
| spl0_237
| ~ spl0_8
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1301,f1231,f276,f2704,f2365]) ).
fof(f2704,plain,
( spl0_237
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk7) = hd(app(sk7,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1231,plain,
( spl0_152
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1301,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk7
| hd(sk7) = hd(app(sk7,X0)) )
| ~ spl0_8
| ~ spl0_152 ),
inference(resolution,[],[f1232,f278]) ).
fof(f1232,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f2666,plain,
( spl0_223
| spl0_236
| ~ spl0_5
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1300,f1231,f260,f2664,f2321]) ).
fof(f2664,plain,
( spl0_236
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk6) = hd(app(sk6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f1300,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk6
| hd(sk6) = hd(app(sk6,X0)) )
| ~ spl0_5
| ~ spl0_152 ),
inference(resolution,[],[f1232,f262]) ).
fof(f2627,plain,
( spl0_3
| spl0_235
| ~ spl0_1
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1299,f1231,f241,f2625,f251]) ).
fof(f2625,plain,
( spl0_235
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk4) = hd(app(sk4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1299,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk4
| hd(sk4) = hd(app(sk4,X0)) )
| ~ spl0_1
| ~ spl0_152 ),
inference(resolution,[],[f1232,f243]) ).
fof(f2587,plain,
( spl0_234
| ~ spl0_226
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2583,f2580,f2405,f2585]) ).
fof(f2585,plain,
( spl0_234
<=> ! [X0] :
( sk5 = hd(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2405,plain,
( spl0_226
<=> sk5 = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f2580,plain,
( spl0_233
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2583,plain,
( ! [X0] :
( sk5 = hd(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_226
| ~ spl0_233 ),
inference(forward_demodulation,[],[f2581,f2407]) ).
fof(f2407,plain,
( sk5 = hd(sk3)
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f2581,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2582,plain,
( spl0_6
| spl0_233
| ~ spl0_2
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1298,f1231,f246,f2580,f265]) ).
fof(f1298,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_2
| ~ spl0_152 ),
inference(resolution,[],[f1232,f248]) ).
fof(f2577,plain,
( ~ spl0_231
| ~ spl0_8
| ~ spl0_1
| spl0_232
| ~ spl0_31
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1225,f1167,f427,f2574,f241,f276,f2570]) ).
fof(f2574,plain,
( spl0_232
<=> rearsegP(sk4,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1167,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1225,plain,
( rearsegP(sk4,sk7)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ ssList(app(sk6,sk3))
| ~ spl0_31
| ~ spl0_150 ),
inference(superposition,[],[f1168,f429]) ).
fof(f1168,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f2533,plain,
( spl0_230
| spl0_225
| ~ spl0_8
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1122,f1042,f276,f2365,f2530]) ).
fof(f2530,plain,
( spl0_230
<=> sk7 = cons(skaf83(sk7),skaf82(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1042,plain,
( spl0_137
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1122,plain,
( nil = sk7
| sk7 = cons(skaf83(sk7),skaf82(sk7))
| ~ spl0_8
| ~ spl0_137 ),
inference(resolution,[],[f1043,f278]) ).
fof(f1043,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2493,plain,
( spl0_229
| spl0_223
| ~ spl0_5
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1121,f1042,f260,f2321,f2490]) ).
fof(f2490,plain,
( spl0_229
<=> sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1121,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6))
| ~ spl0_5
| ~ spl0_137 ),
inference(resolution,[],[f1043,f262]) ).
fof(f2453,plain,
( spl0_228
| spl0_3
| ~ spl0_1
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1120,f1042,f241,f251,f2450]) ).
fof(f2450,plain,
( spl0_228
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1120,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_1
| ~ spl0_137 ),
inference(resolution,[],[f1043,f243]) ).
fof(f2413,plain,
( spl0_227
| spl0_6
| ~ spl0_2
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1119,f1042,f246,f265,f2410]) ).
fof(f2410,plain,
( spl0_227
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1119,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_2
| ~ spl0_137 ),
inference(resolution,[],[f1043,f248]) ).
fof(f2408,plain,
( spl0_226
| ~ spl0_13
| ~ spl0_27
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2223,f2149,f407,f305,f2405]) ).
fof(f2149,plain,
( spl0_217
<=> ! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2223,plain,
( sk5 = hd(sk3)
| ~ spl0_13
| ~ spl0_27
| ~ spl0_217 ),
inference(forward_demodulation,[],[f2188,f307]) ).
fof(f2188,plain,
( sk5 = hd(cons(sk5,nil))
| ~ spl0_27
| ~ spl0_217 ),
inference(resolution,[],[f2150,f409]) ).
fof(f2150,plain,
( ! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f2368,plain,
( spl0_224
| spl0_225
| ~ spl0_8
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1087,f1038,f276,f2365,f2361]) ).
fof(f2361,plain,
( spl0_224
<=> sk7 = cons(hd(sk7),tl(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f1038,plain,
( spl0_136
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1087,plain,
( nil = sk7
| sk7 = cons(hd(sk7),tl(sk7))
| ~ spl0_8
| ~ spl0_136 ),
inference(resolution,[],[f1039,f278]) ).
fof(f1039,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f2324,plain,
( spl0_222
| spl0_223
| ~ spl0_5
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1086,f1038,f260,f2321,f2317]) ).
fof(f2317,plain,
( spl0_222
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1086,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_5
| ~ spl0_136 ),
inference(resolution,[],[f1039,f262]) ).
fof(f2280,plain,
( spl0_221
| spl0_3
| ~ spl0_1
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1085,f1038,f241,f251,f2277]) ).
fof(f2277,plain,
( spl0_221
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1085,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_1
| ~ spl0_136 ),
inference(resolution,[],[f1039,f243]) ).
fof(f2273,plain,
( spl0_220
| spl0_6
| ~ spl0_2
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1084,f1038,f246,f265,f2270]) ).
fof(f2270,plain,
( spl0_220
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1084,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_2
| ~ spl0_136 ),
inference(resolution,[],[f1039,f248]) ).
fof(f2232,plain,
( spl0_219
| ~ spl0_13
| ~ spl0_27
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2187,f2145,f407,f305,f2229]) ).
fof(f2145,plain,
( spl0_216
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2187,plain,
( nil = tl(sk3)
| ~ spl0_13
| ~ spl0_27
| ~ spl0_216 ),
inference(forward_demodulation,[],[f2152,f307]) ).
fof(f2152,plain,
( nil = tl(cons(sk5,nil))
| ~ spl0_27
| ~ spl0_216 ),
inference(resolution,[],[f2146,f409]) ).
fof(f2146,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2145]) ).
fof(f2227,plain,
( spl0_218
| ~ spl0_4
| ~ spl0_13
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1193,f1126,f305,f255,f2225]) ).
fof(f2225,plain,
( spl0_218
<=> ! [X0] :
( cons(sk5,X0) = app(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1126,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1193,plain,
( ! [X0] :
( cons(sk5,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_140 ),
inference(forward_demodulation,[],[f1192,f307]) ).
fof(f1192,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_4
| ~ spl0_140 ),
inference(resolution,[],[f1127,f257]) ).
fof(f1127,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f2151,plain,
( spl0_217
| ~ spl0_4
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1014,f930,f255,f2149]) ).
fof(f930,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1014,plain,
( ! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) )
| ~ spl0_4
| ~ spl0_123 ),
inference(resolution,[],[f931,f257]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f2147,plain,
( spl0_216
| ~ spl0_4
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f995,f926,f255,f2145]) ).
fof(f926,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f995,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 )
| ~ spl0_4
| ~ spl0_122 ),
inference(resolution,[],[f927,f257]) ).
fof(f927,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f2142,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_215
| ~ spl0_13
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f924,f919,f305,f2139,f407,f255]) ).
fof(f2139,plain,
( spl0_215
<=> memberP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f919,plain,
( spl0_121
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f924,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_121 ),
inference(superposition,[],[f920,f307]) ).
fof(f920,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f2136,plain,
( spl0_214
| ~ spl0_4
| ~ spl0_2
| ~ spl0_13
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1035,f974,f305,f246,f255,f2133]) ).
fof(f2133,plain,
( spl0_214
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f974,plain,
( spl0_134
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1035,plain,
( ~ ssList(sk3)
| ~ ssItem(sk5)
| singletonP(sk3)
| ~ spl0_13
| ~ spl0_134 ),
inference(superposition,[],[f975,f307]) ).
fof(f975,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f1987,plain,
( spl0_213
| ~ spl0_8
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f812,f746,f276,f1984]) ).
fof(f1984,plain,
( spl0_213
<=> sk7 = app(nil,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f746,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f812,plain,
( sk7 = app(nil,sk7)
| ~ spl0_8
| ~ spl0_100 ),
inference(resolution,[],[f747,f278]) ).
fof(f747,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1982,plain,
( spl0_212
| ~ spl0_5
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f811,f746,f260,f1979]) ).
fof(f1979,plain,
( spl0_212
<=> sk6 = app(nil,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f811,plain,
( sk6 = app(nil,sk6)
| ~ spl0_5
| ~ spl0_100 ),
inference(resolution,[],[f747,f262]) ).
fof(f1977,plain,
( spl0_211
| ~ spl0_1
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f810,f746,f241,f1974]) ).
fof(f1974,plain,
( spl0_211
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f810,plain,
( sk4 = app(nil,sk4)
| ~ spl0_1
| ~ spl0_100 ),
inference(resolution,[],[f747,f243]) ).
fof(f1969,plain,
( spl0_210
| ~ spl0_2
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f809,f746,f246,f1966]) ).
fof(f1966,plain,
( spl0_210
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f809,plain,
( sk3 = app(nil,sk3)
| ~ spl0_2
| ~ spl0_100 ),
inference(resolution,[],[f747,f248]) ).
fof(f1958,plain,
spl0_209,
inference(avatar_split_clause,[],[f233,f1956]) ).
fof(f1956,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f1954,plain,
spl0_208,
inference(avatar_split_clause,[],[f232,f1952]) ).
fof(f1952,plain,
( spl0_208
<=> ! [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_208])]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f1950,plain,
spl0_207,
inference(avatar_split_clause,[],[f231,f1948]) ).
fof(f1948,plain,
( spl0_207
<=> ! [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_207])]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f1940,plain,
spl0_206,
inference(avatar_split_clause,[],[f230,f1938]) ).
fof(f1938,plain,
( spl0_206
<=> ! [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_206])]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f1936,plain,
spl0_205,
inference(avatar_split_clause,[],[f229,f1934]) ).
fof(f1934,plain,
( spl0_205
<=> ! [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_205])]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f1929,plain,
( spl0_204
| ~ spl0_8
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f780,f742,f276,f1926]) ).
fof(f1926,plain,
( spl0_204
<=> sk7 = app(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f742,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f780,plain,
( sk7 = app(sk7,nil)
| ~ spl0_8
| ~ spl0_99 ),
inference(resolution,[],[f743,f278]) ).
fof(f743,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f1924,plain,
spl0_203,
inference(avatar_split_clause,[],[f226,f1922]) ).
fof(f1922,plain,
( spl0_203
<=> ! [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_203])]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f1917,plain,
spl0_202,
inference(avatar_split_clause,[],[f228,f1915]) ).
fof(f1915,plain,
( spl0_202
<=> ! [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_202])]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f1911,plain,
spl0_201,
inference(avatar_split_clause,[],[f177,f1909]) ).
fof(f1909,plain,
( spl0_201
<=> ! [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_201])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f1732,plain,
( spl0_200
| ~ spl0_5
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f779,f742,f260,f1729]) ).
fof(f779,plain,
( sk6 = app(sk6,nil)
| ~ spl0_5
| ~ spl0_99 ),
inference(resolution,[],[f743,f262]) ).
fof(f1727,plain,
spl0_199,
inference(avatar_split_clause,[],[f167,f1725]) ).
fof(f1725,plain,
( spl0_199
<=> ! [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_199])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f1723,plain,
spl0_198,
inference(avatar_split_clause,[],[f166,f1721]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f1719,plain,
spl0_197,
inference(avatar_split_clause,[],[f165,f1717]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f1715,plain,
spl0_196,
inference(avatar_split_clause,[],[f164,f1713]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1711,plain,
spl0_195,
inference(avatar_split_clause,[],[f163,f1709]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f1694,plain,
spl0_194,
inference(avatar_split_clause,[],[f225,f1692]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f1690,plain,
spl0_193,
inference(avatar_split_clause,[],[f224,f1688]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1680,plain,
( spl0_192
| ~ spl0_1
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f778,f742,f241,f1677]) ).
fof(f1677,plain,
( spl0_192
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f778,plain,
( sk4 = app(sk4,nil)
| ~ spl0_1
| ~ spl0_99 ),
inference(resolution,[],[f743,f243]) ).
fof(f1638,plain,
spl0_191,
inference(avatar_split_clause,[],[f176,f1636]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f1634,plain,
spl0_190,
inference(avatar_split_clause,[],[f174,f1632]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1630,plain,
spl0_189,
inference(avatar_split_clause,[],[f172,f1628]) ).
fof(f1628,plain,
( spl0_189
<=> ! [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_189])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f1626,plain,
spl0_188,
inference(avatar_split_clause,[],[f171,f1624]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f1622,plain,
( spl0_187
| ~ spl0_2
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f777,f742,f246,f1619]) ).
fof(f777,plain,
( sk3 = app(sk3,nil)
| ~ spl0_2
| ~ spl0_99 ),
inference(resolution,[],[f743,f248]) ).
fof(f1617,plain,
spl0_186,
inference(avatar_split_clause,[],[f170,f1615]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1613,plain,
spl0_185,
inference(avatar_split_clause,[],[f169,f1611]) ).
fof(f1611,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1609,plain,
spl0_184,
inference(avatar_split_clause,[],[f168,f1607]) ).
fof(f1607,plain,
( spl0_184
<=> ! [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_184])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1504,plain,
spl0_183,
inference(avatar_split_clause,[],[f161,f1502]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f1500,plain,
spl0_182,
inference(avatar_split_clause,[],[f160,f1498]) ).
fof(f1498,plain,
( spl0_182
<=> ! [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_182])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1496,plain,
spl0_181,
inference(avatar_split_clause,[],[f159,f1494]) ).
fof(f1494,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f1492,plain,
spl0_180,
inference(avatar_split_clause,[],[f158,f1490]) ).
fof(f1490,plain,
( spl0_180
<=> ! [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_180])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1488,plain,
spl0_179,
inference(avatar_split_clause,[],[f157,f1486]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1484,plain,
spl0_178,
inference(avatar_split_clause,[],[f149,f1482]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f1480,plain,
spl0_177,
inference(avatar_split_clause,[],[f142,f1478]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f1463,plain,
( ~ spl0_4
| spl0_176
| ~ spl0_13
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f740,f687,f305,f1460,f255]) ).
fof(f1460,plain,
( spl0_176
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f687,plain,
( spl0_95
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f740,plain,
( cyclefreeP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_95 ),
inference(superposition,[],[f688,f307]) ).
fof(f688,plain,
( ! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f1423,plain,
spl0_175,
inference(avatar_split_clause,[],[f234,f1421]) ).
fof(f234,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f227,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f1419,plain,
spl0_174,
inference(avatar_split_clause,[],[f151,f1417]) ).
fof(f1417,plain,
( spl0_174
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f1415,plain,
spl0_173,
inference(avatar_split_clause,[],[f150,f1413]) ).
fof(f1413,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f1411,plain,
spl0_172,
inference(avatar_split_clause,[],[f133,f1409]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f1373,plain,
spl0_171,
inference(avatar_split_clause,[],[f156,f1371]) ).
fof(f1371,plain,
( spl0_171
<=> ! [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_171])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f1369,plain,
spl0_170,
inference(avatar_split_clause,[],[f155,f1367]) ).
fof(f1367,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1365,plain,
spl0_169,
inference(avatar_split_clause,[],[f154,f1363]) ).
fof(f1363,plain,
( spl0_169
<=> ! [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_169])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f1361,plain,
spl0_168,
inference(avatar_split_clause,[],[f153,f1359]) ).
fof(f1359,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f1357,plain,
spl0_167,
inference(avatar_split_clause,[],[f152,f1355]) ).
fof(f1355,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1353,plain,
( ~ spl0_4
| spl0_166
| ~ spl0_13
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f734,f683,f305,f1350,f255]) ).
fof(f1350,plain,
( spl0_166
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f683,plain,
( spl0_94
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f734,plain,
( totalorderP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_94 ),
inference(superposition,[],[f684,f307]) ).
fof(f684,plain,
( ! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f1348,plain,
spl0_165,
inference(avatar_split_clause,[],[f148,f1346]) ).
fof(f1346,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f1344,plain,
spl0_164,
inference(avatar_split_clause,[],[f147,f1342]) ).
fof(f1342,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f1340,plain,
spl0_163,
inference(avatar_split_clause,[],[f146,f1338]) ).
fof(f1338,plain,
( spl0_163
<=> ! [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_163])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f1336,plain,
spl0_162,
inference(avatar_split_clause,[],[f135,f1334]) ).
fof(f1334,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f1332,plain,
spl0_161,
inference(avatar_split_clause,[],[f134,f1330]) ).
fof(f1330,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f1266,plain,
spl0_160,
inference(avatar_split_clause,[],[f141,f1264]) ).
fof(f1264,plain,
( spl0_160
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1262,plain,
spl0_159,
inference(avatar_split_clause,[],[f140,f1260]) ).
fof(f1260,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1258,plain,
spl0_158,
inference(avatar_split_clause,[],[f139,f1256]) ).
fof(f1256,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1254,plain,
spl0_157,
inference(avatar_split_clause,[],[f137,f1252]) ).
fof(f1252,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f1250,plain,
spl0_156,
inference(avatar_split_clause,[],[f136,f1248]) ).
fof(f1248,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f1246,plain,
spl0_155,
inference(avatar_split_clause,[],[f132,f1244]) ).
fof(f1244,plain,
( spl0_155
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f1242,plain,
spl0_154,
inference(avatar_split_clause,[],[f131,f1240]) ).
fof(f1240,plain,
( spl0_154
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1238,plain,
( ~ spl0_4
| spl0_153
| ~ spl0_13
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f733,f679,f305,f1235,f255]) ).
fof(f1235,plain,
( spl0_153
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f679,plain,
( spl0_93
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f733,plain,
( strictorderP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_93 ),
inference(superposition,[],[f680,f307]) ).
fof(f680,plain,
( ! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f1233,plain,
spl0_152,
inference(avatar_split_clause,[],[f123,f1231]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1173,plain,
spl0_151,
inference(avatar_split_clause,[],[f221,f1171]) ).
fof(f1171,plain,
( spl0_151
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f221,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f1169,plain,
spl0_150,
inference(avatar_split_clause,[],[f220,f1167]) ).
fof(f220,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f1165,plain,
spl0_149,
inference(avatar_split_clause,[],[f130,f1163]) ).
fof(f1163,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f1161,plain,
spl0_148,
inference(avatar_split_clause,[],[f129,f1159]) ).
fof(f1159,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f1157,plain,
spl0_147,
inference(avatar_split_clause,[],[f128,f1155]) ).
fof(f1155,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f1153,plain,
spl0_146,
inference(avatar_split_clause,[],[f127,f1151]) ).
fof(f1151,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f1149,plain,
spl0_145,
inference(avatar_split_clause,[],[f126,f1147]) ).
fof(f1147,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f1145,plain,
spl0_144,
inference(avatar_split_clause,[],[f125,f1143]) ).
fof(f1143,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f1141,plain,
( ~ spl0_4
| spl0_143
| ~ spl0_13
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f732,f675,f305,f1138,f255]) ).
fof(f1138,plain,
( spl0_143
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f675,plain,
( spl0_92
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f732,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_92 ),
inference(superposition,[],[f676,f307]) ).
fof(f676,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f1136,plain,
spl0_142,
inference(avatar_split_clause,[],[f124,f1134]) ).
fof(f1134,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1132,plain,
spl0_141,
inference(avatar_split_clause,[],[f122,f1130]) ).
fof(f1130,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f1128,plain,
spl0_140,
inference(avatar_split_clause,[],[f120,f1126]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f1052,plain,
spl0_139,
inference(avatar_split_clause,[],[f119,f1050]) ).
fof(f1050,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f1048,plain,
spl0_138,
inference(avatar_split_clause,[],[f118,f1046]) ).
fof(f1046,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f1044,plain,
spl0_137,
inference(avatar_split_clause,[],[f109,f1042]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f1040,plain,
spl0_136,
inference(avatar_split_clause,[],[f104,f1038]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f1023,plain,
( ~ spl0_4
| spl0_135
| ~ spl0_13
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f731,f671,f305,f1020,f255]) ).
fof(f1020,plain,
( spl0_135
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f671,plain,
( spl0_91
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f731,plain,
( strictorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_13
| ~ spl0_91 ),
inference(superposition,[],[f672,f307]) ).
fof(f672,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f976,plain,
spl0_134,
inference(avatar_split_clause,[],[f215,f974]) ).
fof(f215,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/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f972,plain,
spl0_133,
inference(avatar_split_clause,[],[f114,f970]) ).
fof(f970,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f968,plain,
spl0_132,
inference(avatar_split_clause,[],[f110,f966]) ).
fof(f966,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f964,plain,
spl0_131,
inference(avatar_split_clause,[],[f108,f962]) ).
fof(f962,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f960,plain,
spl0_130,
inference(avatar_split_clause,[],[f107,f958]) ).
fof(f958,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f956,plain,
spl0_129,
inference(avatar_split_clause,[],[f106,f954]) ).
fof(f954,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f952,plain,
spl0_128,
inference(avatar_split_clause,[],[f105,f950]) ).
fof(f950,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f948,plain,
spl0_127,
inference(avatar_split_clause,[],[f103,f946]) ).
fof(f946,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f944,plain,
spl0_126,
inference(avatar_split_clause,[],[f102,f942]) ).
fof(f942,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f940,plain,
spl0_125,
inference(avatar_split_clause,[],[f101,f938]) ).
fof(f938,plain,
( spl0_125
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f936,plain,
spl0_124,
inference(avatar_split_clause,[],[f100,f934]) ).
fof(f934,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f932,plain,
spl0_123,
inference(avatar_split_clause,[],[f97,f930]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f928,plain,
spl0_122,
inference(avatar_split_clause,[],[f96,f926]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f921,plain,
spl0_121,
inference(avatar_split_clause,[],[f236,f919]) ).
fof(f236,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f917,plain,
spl0_120,
inference(avatar_split_clause,[],[f99,f915]) ).
fof(f915,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f913,plain,
spl0_119,
inference(avatar_split_clause,[],[f98,f911]) ).
fof(f911,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f909,plain,
spl0_118,
inference(avatar_split_clause,[],[f95,f907]) ).
fof(f907,plain,
( spl0_118
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f905,plain,
spl0_117,
inference(avatar_split_clause,[],[f94,f903]) ).
fof(f903,plain,
( spl0_117
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f901,plain,
spl0_116,
inference(avatar_split_clause,[],[f93,f899]) ).
fof(f899,plain,
( spl0_116
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f897,plain,
spl0_115,
inference(avatar_split_clause,[],[f92,f895]) ).
fof(f895,plain,
( spl0_115
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f893,plain,
spl0_114,
inference(avatar_split_clause,[],[f91,f891]) ).
fof(f891,plain,
( spl0_114
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f889,plain,
spl0_113,
inference(avatar_split_clause,[],[f90,f887]) ).
fof(f887,plain,
( spl0_113
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f885,plain,
spl0_112,
inference(avatar_split_clause,[],[f89,f883]) ).
fof(f883,plain,
( spl0_112
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f881,plain,
spl0_111,
inference(avatar_split_clause,[],[f88,f879]) ).
fof(f879,plain,
( spl0_111
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f877,plain,
( spl0_110
| ~ spl0_8
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f728,f694,f276,f874]) ).
fof(f874,plain,
( spl0_110
<=> duplicatefreeP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f728,plain,
( duplicatefreeP(sk7)
| ~ spl0_8
| ~ spl0_97 ),
inference(resolution,[],[f695,f278]) ).
fof(f872,plain,
spl0_109,
inference(avatar_split_clause,[],[f87,f870]) ).
fof(f870,plain,
( spl0_109
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f845,plain,
spl0_108,
inference(avatar_split_clause,[],[f86,f843]) ).
fof(f843,plain,
( spl0_108
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f841,plain,
spl0_107,
inference(avatar_split_clause,[],[f85,f839]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f837,plain,
( spl0_106
| ~ spl0_5
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f727,f694,f260,f834]) ).
fof(f834,plain,
( spl0_106
<=> duplicatefreeP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f727,plain,
( duplicatefreeP(sk6)
| ~ spl0_5
| ~ spl0_97 ),
inference(resolution,[],[f695,f262]) ).
fof(f832,plain,
spl0_105,
inference(avatar_split_clause,[],[f84,f830]) ).
fof(f830,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f828,plain,
spl0_104,
inference(avatar_split_clause,[],[f82,f826]) ).
fof(f826,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f824,plain,
spl0_103,
inference(avatar_split_clause,[],[f80,f822]) ).
fof(f822,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f820,plain,
spl0_102,
inference(avatar_split_clause,[],[f76,f818]) ).
fof(f818,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f816,plain,
spl0_101,
inference(avatar_split_clause,[],[f75,f814]) ).
fof(f814,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f748,plain,
spl0_100,
inference(avatar_split_clause,[],[f74,f746]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f744,plain,
spl0_99,
inference(avatar_split_clause,[],[f73,f742]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f739,plain,
( spl0_98
| ~ spl0_2
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f725,f694,f246,f736]) ).
fof(f736,plain,
( spl0_98
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f725,plain,
( duplicatefreeP(sk3)
| ~ spl0_2
| ~ spl0_97 ),
inference(resolution,[],[f695,f248]) ).
fof(f696,plain,
( spl0_96
| spl0_97 ),
inference(avatar_split_clause,[],[f72,f694,f691]) ).
fof(f691,plain,
( spl0_96
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f689,plain,
spl0_95,
inference(avatar_split_clause,[],[f70,f687]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f685,plain,
spl0_94,
inference(avatar_split_clause,[],[f69,f683]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f681,plain,
spl0_93,
inference(avatar_split_clause,[],[f68,f679]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f677,plain,
spl0_92,
inference(avatar_split_clause,[],[f67,f675]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f673,plain,
spl0_91,
inference(avatar_split_clause,[],[f66,f671]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f669,plain,
spl0_90,
inference(avatar_split_clause,[],[f65,f667]) ).
fof(f667,plain,
( spl0_90
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f665,plain,
spl0_89,
inference(avatar_split_clause,[],[f64,f663]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f661,plain,
( ~ spl0_1
| spl0_12
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f660,f621,f300,f241]) ).
fof(f300,plain,
( spl0_12
<=> segmentP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f621,plain,
( spl0_79
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f660,plain,
( ~ ssList(sk4)
| spl0_12
| ~ spl0_79 ),
inference(resolution,[],[f622,f302]) ).
fof(f302,plain,
( ~ segmentP(sk4,sk4)
| spl0_12 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f622,plain,
( ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f659,plain,
spl0_88,
inference(avatar_split_clause,[],[f239,f657]) ).
fof(f657,plain,
( spl0_88
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f239,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,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/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f655,plain,
spl0_87,
inference(avatar_split_clause,[],[f237,f653]) ).
fof(f653,plain,
( spl0_87
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f237,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,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/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f651,plain,
spl0_86,
inference(avatar_split_clause,[],[f71,f649]) ).
fof(f649,plain,
( spl0_86
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f647,plain,
spl0_85,
inference(avatar_split_clause,[],[f63,f645]) ).
fof(f645,plain,
( spl0_85
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f643,plain,
spl0_84,
inference(avatar_split_clause,[],[f62,f641]) ).
fof(f641,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f639,plain,
spl0_83,
inference(avatar_split_clause,[],[f61,f637]) ).
fof(f637,plain,
( spl0_83
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f635,plain,
spl0_82,
inference(avatar_split_clause,[],[f60,f633]) ).
fof(f633,plain,
( spl0_82
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f631,plain,
spl0_81,
inference(avatar_split_clause,[],[f59,f629]) ).
fof(f629,plain,
( spl0_81
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f627,plain,
spl0_80,
inference(avatar_split_clause,[],[f58,f625]) ).
fof(f625,plain,
( spl0_80
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f623,plain,
spl0_79,
inference(avatar_split_clause,[],[f57,f621]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f619,plain,
spl0_78,
inference(avatar_split_clause,[],[f56,f617]) ).
fof(f617,plain,
( spl0_78
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f615,plain,
spl0_77,
inference(avatar_split_clause,[],[f55,f613]) ).
fof(f613,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f611,plain,
spl0_76,
inference(avatar_split_clause,[],[f53,f609]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f607,plain,
spl0_75,
inference(avatar_split_clause,[],[f52,f605]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f603,plain,
spl0_74,
inference(avatar_split_clause,[],[f51,f601]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f599,plain,
spl0_73,
inference(avatar_split_clause,[],[f50,f597]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f595,plain,
spl0_72,
inference(avatar_split_clause,[],[f49,f593]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f591,plain,
spl0_71,
inference(avatar_split_clause,[],[f48,f589]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f587,plain,
~ spl0_70,
inference(avatar_split_clause,[],[f54,f584]) ).
fof(f584,plain,
( spl0_70
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f582,plain,
spl0_69,
inference(avatar_split_clause,[],[f47,f580]) ).
fof(f580,plain,
( spl0_69
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f578,plain,
spl0_68,
inference(avatar_split_clause,[],[f46,f576]) ).
fof(f576,plain,
( spl0_68
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f574,plain,
spl0_67,
inference(avatar_split_clause,[],[f45,f572]) ).
fof(f572,plain,
( spl0_67
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f570,plain,
spl0_66,
inference(avatar_split_clause,[],[f44,f568]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f566,plain,
spl0_65,
inference(avatar_split_clause,[],[f43,f564]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f562,plain,
spl0_64,
inference(avatar_split_clause,[],[f42,f560]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f558,plain,
spl0_63,
inference(avatar_split_clause,[],[f41,f556]) ).
fof(f556,plain,
( spl0_63
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f554,plain,
spl0_62,
inference(avatar_split_clause,[],[f40,f552]) ).
fof(f552,plain,
( spl0_62
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f550,plain,
spl0_61,
inference(avatar_split_clause,[],[f39,f548]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f546,plain,
spl0_60,
inference(avatar_split_clause,[],[f38,f544]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f542,plain,
spl0_59,
inference(avatar_split_clause,[],[f37,f540]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f538,plain,
spl0_58,
inference(avatar_split_clause,[],[f36,f536]) ).
fof(f536,plain,
( spl0_58
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f534,plain,
spl0_57,
inference(avatar_split_clause,[],[f35,f532]) ).
fof(f532,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f530,plain,
spl0_56,
inference(avatar_split_clause,[],[f34,f528]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f526,plain,
spl0_55,
inference(avatar_split_clause,[],[f33,f524]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f522,plain,
spl0_54,
inference(avatar_split_clause,[],[f32,f520]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f518,plain,
spl0_53,
inference(avatar_split_clause,[],[f31,f516]) ).
fof(f516,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f514,plain,
spl0_52,
inference(avatar_split_clause,[],[f30,f512]) ).
fof(f512,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f510,plain,
spl0_51,
inference(avatar_split_clause,[],[f29,f508]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f506,plain,
spl0_50,
inference(avatar_split_clause,[],[f28,f504]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f502,plain,
spl0_49,
inference(avatar_split_clause,[],[f27,f500]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f498,plain,
spl0_48,
inference(avatar_split_clause,[],[f26,f496]) ).
fof(f496,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f494,plain,
spl0_47,
inference(avatar_split_clause,[],[f25,f492]) ).
fof(f492,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f490,plain,
spl0_46,
inference(avatar_split_clause,[],[f24,f488]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f486,plain,
spl0_45,
inference(avatar_split_clause,[],[f23,f484]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f482,plain,
spl0_44,
inference(avatar_split_clause,[],[f22,f480]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f478,plain,
spl0_43,
inference(avatar_split_clause,[],[f21,f476]) ).
fof(f476,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f474,plain,
spl0_42,
inference(avatar_split_clause,[],[f20,f472]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f470,plain,
spl0_41,
inference(avatar_split_clause,[],[f19,f468]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f466,plain,
spl0_40,
inference(avatar_split_clause,[],[f18,f464]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f462,plain,
spl0_39,
inference(avatar_split_clause,[],[f17,f460]) ).
fof(f460,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f458,plain,
spl0_38,
inference(avatar_split_clause,[],[f16,f456]) ).
fof(f456,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f454,plain,
spl0_37,
inference(avatar_split_clause,[],[f15,f452]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f450,plain,
spl0_36,
inference(avatar_split_clause,[],[f14,f448]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f446,plain,
spl0_35,
inference(avatar_split_clause,[],[f13,f444]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f442,plain,
spl0_34,
inference(avatar_split_clause,[],[f12,f440]) ).
fof(f440,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f438,plain,
( spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f199,f436,f251]) ).
fof(f436,plain,
( spl0_33
<=> ! [X6] :
( ~ ssItem(X6)
| ~ lt(X6,sk5)
| ~ memberP(sk7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f199,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk7,X6)
| ~ lt(X6,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f434,plain,
( spl0_3
| spl0_32 ),
inference(avatar_split_clause,[],[f198,f432,f251]) ).
fof(f432,plain,
( spl0_32
<=> ! [X6] :
( ~ ssItem(X6)
| ~ lt(sk5,X6)
| ~ memberP(sk6,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f198,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk6,X6)
| ~ lt(sk5,X6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f430,plain,
( spl0_31
| spl0_3 ),
inference(avatar_split_clause,[],[f197,f251,f427]) ).
fof(f197,axiom,
( nil = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f425,plain,
~ spl0_30,
inference(avatar_split_clause,[],[f11,f422]) ).
fof(f422,plain,
( spl0_30
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f420,plain,
spl0_29,
inference(avatar_split_clause,[],[f10,f417]) ).
fof(f417,plain,
( spl0_29
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f415,plain,
spl0_28,
inference(avatar_split_clause,[],[f9,f412]) ).
fof(f412,plain,
( spl0_28
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f410,plain,
spl0_27,
inference(avatar_split_clause,[],[f8,f407]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f405,plain,
spl0_26,
inference(avatar_split_clause,[],[f7,f402]) ).
fof(f402,plain,
( spl0_26
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f400,plain,
spl0_25,
inference(avatar_split_clause,[],[f6,f397]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f395,plain,
spl0_24,
inference(avatar_split_clause,[],[f5,f392]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f390,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f384,f373,f251,f380]) ).
fof(f384,plain,
( totalorderedP(sk4)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f375,f253]) ).
fof(f383,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f378,f373,f271,f265,f380]) ).
fof(f378,plain,
( totalorderedP(sk4)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f377,f272]) ).
fof(f272,plain,
( sk3 = sk4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f377,plain,
( totalorderedP(sk3)
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f375,f267]) ).
fof(f376,plain,
spl0_22,
inference(avatar_split_clause,[],[f4,f373]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f370,plain,
( ~ spl0_21
| ~ spl0_6
| ~ spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f352,f305,f271,f265,f367]) ).
fof(f367,plain,
( spl0_21
<=> sk4 = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f352,plain,
( sk4 != cons(sk5,sk3)
| ~ spl0_6
| ~ spl0_7
| spl0_13 ),
inference(forward_demodulation,[],[f346,f267]) ).
fof(f346,plain,
( sk4 != cons(sk5,nil)
| ~ spl0_7
| spl0_13 ),
inference(forward_demodulation,[],[f306,f272]) ).
fof(f306,plain,
( sk3 != cons(sk5,nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f364,plain,
( ~ spl0_20
| ~ spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f349,f305,f265,f361]) ).
fof(f361,plain,
( spl0_20
<=> sk3 = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f349,plain,
( sk3 != cons(sk5,sk3)
| ~ spl0_6
| spl0_13 ),
inference(forward_demodulation,[],[f306,f267]) ).
fof(f357,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f347,f271,f265,f251]) ).
fof(f347,plain,
( nil = sk4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f267,f272]) ).
fof(f351,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f195,f276,f251]) ).
fof(f195,axiom,
( ssList(sk7)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f348,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f347,f271,f265,f251]) ).
fof(f345,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f340,f336,f251,f342]) ).
fof(f342,plain,
( spl0_19
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f340,plain,
( strictorderedP(sk4)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f338,f253]) ).
fof(f339,plain,
spl0_18,
inference(avatar_split_clause,[],[f3,f336]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f334,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f329,f325,f251,f331]) ).
fof(f331,plain,
( spl0_17
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f325,plain,
( spl0_16
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f329,plain,
( duplicatefreeP(sk4)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f327,f253]) ).
fof(f327,plain,
( duplicatefreeP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,plain,
spl0_16,
inference(avatar_split_clause,[],[f2,f325]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f322,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f321,f317,f251,f295]) ).
fof(f295,plain,
( spl0_11
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f321,plain,
( equalelemsP(sk4)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f319,f253]) ).
fof(f320,plain,
spl0_15,
inference(avatar_split_clause,[],[f1,f317]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f315,plain,
( ~ spl0_14
| ~ spl0_3
| ~ spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f310,f305,f271,f251,f312]) ).
fof(f312,plain,
( spl0_14
<=> sk4 = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f310,plain,
( sk4 != cons(sk5,sk4)
| ~ spl0_3
| ~ spl0_7
| spl0_13 ),
inference(forward_demodulation,[],[f309,f272]) ).
fof(f309,plain,
( sk3 != cons(sk5,sk4)
| ~ spl0_3
| spl0_13 ),
inference(forward_demodulation,[],[f306,f253]) ).
fof(f308,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f202,f265,f305]) ).
fof(f202,axiom,
( nil = sk3
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f303,plain,
( ~ spl0_12
| ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f293,f284,f271,f300]) ).
fof(f293,plain,
( ~ segmentP(sk4,sk4)
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f286,f272]) ).
fof(f286,plain,
( ~ segmentP(sk4,sk3)
| spl0_9 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f298,plain,
( ~ spl0_11
| ~ spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f292,f288,f271,f295]) ).
fof(f292,plain,
( ~ equalelemsP(sk4)
| ~ spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f290,f272]) ).
fof(f290,plain,
( ~ equalelemsP(sk3)
| spl0_10 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f209,f288,f284]) ).
fof(f209,plain,
( ~ equalelemsP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f206,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,axiom,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f281,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f280,f265,f251,f271]) ).
fof(f280,plain,
( sk3 = sk4
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f267,f253]) ).
fof(f279,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f201,f276,f265]) ).
fof(f201,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f274,plain,
( ~ spl0_7
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f269,f265,f251,f271]) ).
fof(f269,plain,
( sk3 != sk4
| ~ spl0_3
| spl0_6 ),
inference(forward_demodulation,[],[f266,f253]) ).
fof(f266,plain,
( nil != sk3
| spl0_6 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f200,f260,f265]) ).
fof(f200,axiom,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f263,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f194,f260,f251]) ).
fof(f194,axiom,
( ssList(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f258,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f192,f255,f251]) ).
fof(f192,axiom,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f249,plain,
spl0_2,
inference(avatar_split_clause,[],[f208,f246]) ).
fof(f208,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f244,plain,
spl0_1,
inference(avatar_split_clause,[],[f207,f241]) ).
fof(f207,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC330-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:25:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (7562)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (7565)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7563)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7564)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7565)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (7566)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7567)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (7568)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (7569)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [4]
% 0.21/0.46 TRYING [1]
% 0.21/0.46 TRYING [2]
% 0.21/0.47 TRYING [3]
% 0.21/0.49 % (7567)First to succeed.
% 0.21/0.49 % (7567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7562"
% 0.21/0.50 % (7567)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (7567)------------------------------
% 0.21/0.50 % (7567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50 % (7567)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (7567)Memory used [KB]: 3518
% 0.21/0.50 % (7567)Time elapsed: 0.119 s
% 0.21/0.50 % (7567)Instructions burned: 240 (million)
% 0.21/0.50 % (7562)Success in time 0.144 s
%------------------------------------------------------------------------------