TSTP Solution File: SYN457-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN457-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.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 : Wed Aug 31 19:38:08 EDT 2022

% Result   : Unsatisfiable 2.50s 0.70s
% Output   : Refutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  272
% Syntax   : Number of formulae    :  592 (   1 unt;   0 def)
%            Number of atoms       : 1711 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1949 ( 830   ~; 963   |;   0   &)
%                                         ( 156 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  193 ( 192 usr; 189 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :   85 (  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4540,plain,
    $false,
    inference(avatar_sat_refutation,[],[f413,f432,f450,f473,f482,f491,f534,f558,f589,f612,f631,f642,f647,f656,f665,f674,f682,f692,f701,f745,f750,f751,f770,f784,f806,f861,f875,f880,f901,f906,f932,f951,f956,f961,f966,f967,f1000,f1043,f1088,f1097,f1108,f1126,f1127,f1138,f1149,f1175,f1186,f1195,f1215,f1220,f1231,f1246,f1280,f1285,f1290,f1295,f1339,f1360,f1378,f1397,f1411,f1432,f1438,f1443,f1453,f1463,f1473,f1474,f1479,f1484,f1485,f1512,f1518,f1523,f1528,f1552,f1559,f1560,f1565,f1575,f1585,f1596,f1618,f1633,f1655,f1656,f1661,f1671,f1677,f1682,f1683,f1701,f1718,f1733,f1741,f1751,f1769,f1778,f1783,f1791,f1811,f1816,f1821,f1870,f1886,f1891,f1919,f1930,f1935,f1953,f1968,f1973,f1975,f2001,f2016,f2021,f2073,f2085,f2114,f2115,f2153,f2159,f2197,f2238,f2258,f2276,f2302,f2375,f2401,f2410,f2440,f2490,f2500,f2531,f2546,f2573,f2576,f2587,f2591,f2609,f2767,f2795,f2797,f2813,f2821,f2852,f2853,f2924,f2950,f2951,f3005,f3006,f3015,f3112,f3118,f3205,f3206,f3209,f3254,f3264,f3277,f3330,f3332,f3395,f3396,f3415,f3483,f3614,f3625,f3680,f3745,f3918,f4031,f4132,f4140,f4286,f4352,f4409,f4459,f4493,f4539]) ).

fof(f4539,plain,
    ( spl0_195
    | spl0_229
    | ~ spl0_12
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f4536,f2580,f411,f1460,f1287]) ).

fof(f1287,plain,
    ( spl0_195
  <=> c2_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f1460,plain,
    ( spl0_229
  <=> c0_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f411,plain,
    ( spl0_12
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2580,plain,
    ( spl0_368
  <=> c3_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).

fof(f4536,plain,
    ( c0_1(a1677)
    | c2_1(a1677)
    | ~ spl0_12
    | ~ spl0_368 ),
    inference(resolution,[],[f412,f2582]) ).

fof(f2582,plain,
    ( c3_1(a1677)
    | ~ spl0_368 ),
    inference(avatar_component_clause,[],[f2580]) ).

fof(f412,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f4493,plain,
    ( ~ spl0_223
    | spl0_361
    | ~ spl0_154
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f4485,f1562,f1083,f2417,f1429]) ).

fof(f1429,plain,
    ( spl0_223
  <=> c0_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f2417,plain,
    ( spl0_361
  <=> c3_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f1083,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1562,plain,
    ( spl0_248
  <=> c1_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f4485,plain,
    ( c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_154
    | ~ spl0_248 ),
    inference(resolution,[],[f1084,f1564]) ).

fof(f1564,plain,
    ( c1_1(a1637)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f1562]) ).

fof(f1084,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f4459,plain,
    ( ~ spl0_363
    | spl0_240
    | ~ spl0_11
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f4420,f1476,f408,f1520,f2436]) ).

fof(f2436,plain,
    ( spl0_363
  <=> c0_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).

fof(f1520,plain,
    ( spl0_240
  <=> c2_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f408,plain,
    ( spl0_11
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1476,plain,
    ( spl0_232
  <=> c3_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f4420,plain,
    ( c2_1(a1715)
    | ~ c0_1(a1715)
    | ~ spl0_11
    | ~ spl0_232 ),
    inference(resolution,[],[f409,f1478]) ).

fof(f1478,plain,
    ( c3_1(a1715)
    | ~ spl0_232 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f409,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f4409,plain,
    ( spl0_167
    | spl0_247
    | ~ spl0_12
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f4400,f2155,f411,f1556,f1146]) ).

fof(f1146,plain,
    ( spl0_167
  <=> c0_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1556,plain,
    ( spl0_247
  <=> c2_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f2155,plain,
    ( spl0_347
  <=> c3_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f4400,plain,
    ( c2_1(a1678)
    | c0_1(a1678)
    | ~ spl0_12
    | ~ spl0_347 ),
    inference(resolution,[],[f412,f2157]) ).

fof(f2157,plain,
    ( c3_1(a1678)
    | ~ spl0_347 ),
    inference(avatar_component_clause,[],[f2155]) ).

fof(f4352,plain,
    ( spl0_196
    | ~ spl0_128
    | ~ spl0_43
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f4333,f2810,f553,f953,f1292]) ).

fof(f1292,plain,
    ( spl0_196
  <=> c3_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f953,plain,
    ( spl0_128
  <=> c2_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f553,plain,
    ( spl0_43
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2810,plain,
    ( spl0_378
  <=> c1_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).

fof(f4333,plain,
    ( ~ c2_1(a1695)
    | c3_1(a1695)
    | ~ spl0_43
    | ~ spl0_378 ),
    inference(resolution,[],[f554,f2812]) ).

fof(f2812,plain,
    ( c1_1(a1695)
    | ~ spl0_378 ),
    inference(avatar_component_clause,[],[f2810]) ).

fof(f554,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f4286,plain,
    ( spl0_183
    | spl0_91
    | ~ spl0_155
    | ~ spl0_393 ),
    inference(avatar_split_clause,[],[f4275,f3480,f1086,f777,f1228]) ).

fof(f1228,plain,
    ( spl0_183
  <=> c3_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f777,plain,
    ( spl0_91
  <=> c1_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1086,plain,
    ( spl0_155
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3480,plain,
    ( spl0_393
  <=> c0_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).

fof(f4275,plain,
    ( c1_1(a1682)
    | c3_1(a1682)
    | ~ spl0_155
    | ~ spl0_393 ),
    inference(resolution,[],[f1087,f3482]) ).

fof(f3482,plain,
    ( c0_1(a1682)
    | ~ spl0_393 ),
    inference(avatar_component_clause,[],[f3480]) ).

fof(f1087,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f4140,plain,
    ( spl0_37
    | spl0_60
    | ~ spl0_161
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f4121,f2934,f1114,f628,f527]) ).

fof(f527,plain,
    ( spl0_37
  <=> c1_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f628,plain,
    ( spl0_60
  <=> c3_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1114,plain,
    ( spl0_161
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2934,plain,
    ( spl0_383
  <=> c2_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).

fof(f4121,plain,
    ( c3_1(a1645)
    | c1_1(a1645)
    | ~ spl0_161
    | ~ spl0_383 ),
    inference(resolution,[],[f1115,f2936]) ).

fof(f2936,plain,
    ( c2_1(a1645)
    | ~ spl0_383 ),
    inference(avatar_component_clause,[],[f2934]) ).

fof(f1115,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f4132,plain,
    ( spl0_9
    | ~ spl0_102
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f4122,f1114,f831,f401]) ).

fof(f401,plain,
    ( spl0_9
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f831,plain,
    ( spl0_102
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f4122,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_102
    | ~ spl0_161 ),
    inference(duplicate_literal_removal,[],[f4072]) ).

fof(f4072,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_102
    | ~ spl0_161 ),
    inference(resolution,[],[f1115,f832]) ).

fof(f832,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f4031,plain,
    ( ~ spl0_232
    | spl0_240
    | ~ spl0_88
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3991,f1079,f763,f1520,f1476]) ).

fof(f763,plain,
    ( spl0_88
  <=> c1_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1079,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3991,plain,
    ( c2_1(a1715)
    | ~ c3_1(a1715)
    | ~ spl0_88
    | ~ spl0_153 ),
    inference(resolution,[],[f1080,f765]) ).

fof(f765,plain,
    ( c1_1(a1715)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1080,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f3918,plain,
    ( ~ spl0_186
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f3909,f2397,f988,f429,f1243]) ).

fof(f1243,plain,
    ( spl0_186
  <=> c3_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f429,plain,
    ( spl0_16
  <=> c0_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f988,plain,
    ( spl0_135
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2397,plain,
    ( spl0_359
  <=> c1_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f3909,plain,
    ( ~ c0_1(a1655)
    | ~ c3_1(a1655)
    | ~ spl0_135
    | ~ spl0_359 ),
    inference(resolution,[],[f989,f2399]) ).

fof(f2399,plain,
    ( c1_1(a1655)
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f2397]) ).

fof(f989,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f3745,plain,
    ( spl0_231
    | ~ spl0_181
    | ~ spl0_10
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f3710,f1658,f405,f1217,f1470]) ).

fof(f1470,plain,
    ( spl0_231
  <=> c1_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f1217,plain,
    ( spl0_181
  <=> c3_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f405,plain,
    ( spl0_10
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1658,plain,
    ( spl0_266
  <=> c2_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f3710,plain,
    ( ~ c3_1(a1673)
    | c1_1(a1673)
    | ~ spl0_10
    | ~ spl0_266 ),
    inference(resolution,[],[f406,f1660]) ).

fof(f1660,plain,
    ( c2_1(a1673)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f1658]) ).

fof(f406,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f3680,plain,
    ( spl0_67
    | spl0_280
    | ~ spl0_12
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3662,f1674,f411,f1738,f662]) ).

fof(f662,plain,
    ( spl0_67
  <=> c0_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1738,plain,
    ( spl0_280
  <=> c2_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f1674,plain,
    ( spl0_269
  <=> c3_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f3662,plain,
    ( c2_1(a1704)
    | c0_1(a1704)
    | ~ spl0_12
    | ~ spl0_269 ),
    inference(resolution,[],[f412,f1676]) ).

fof(f1676,plain,
    ( c3_1(a1704)
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f1674]) ).

fof(f3625,plain,
    ( ~ spl0_16
    | spl0_359
    | ~ spl0_42
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f3390,f1243,f550,f2397,f429]) ).

fof(f550,plain,
    ( spl0_42
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3390,plain,
    ( c1_1(a1655)
    | ~ c0_1(a1655)
    | ~ spl0_42
    | ~ spl0_186 ),
    inference(resolution,[],[f551,f1245]) ).

fof(f1245,plain,
    ( c3_1(a1655)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f551,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f3614,plain,
    ( ~ spl0_20
    | ~ spl0_129
    | ~ spl0_135
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f3593,f2407,f988,f958,f447]) ).

fof(f447,plain,
    ( spl0_20
  <=> c3_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f958,plain,
    ( spl0_129
  <=> c0_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2407,plain,
    ( spl0_360
  <=> c1_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f3593,plain,
    ( ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_135
    | ~ spl0_360 ),
    inference(resolution,[],[f989,f2409]) ).

fof(f2409,plain,
    ( c1_1(a1654)
    | ~ spl0_360 ),
    inference(avatar_component_clause,[],[f2407]) ).

fof(f3483,plain,
    ( spl0_183
    | spl0_393
    | ~ spl0_102
    | spl0_145 ),
    inference(avatar_split_clause,[],[f3461,f1040,f831,f3480,f1228]) ).

fof(f1040,plain,
    ( spl0_145
  <=> c2_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3461,plain,
    ( c0_1(a1682)
    | c3_1(a1682)
    | ~ spl0_102
    | spl0_145 ),
    inference(resolution,[],[f832,f1042]) ).

fof(f1042,plain,
    ( ~ c2_1(a1682)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f3415,plain,
    ( spl0_261
    | ~ spl0_323
    | ~ spl0_8
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f3414,f1188,f398,f1970,f1630]) ).

fof(f1630,plain,
    ( spl0_261
  <=> c0_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f1970,plain,
    ( spl0_323
  <=> c3_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f398,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1188,plain,
    ( spl0_175
  <=> c1_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3414,plain,
    ( ~ c3_1(a1672)
    | c0_1(a1672)
    | ~ spl0_8
    | ~ spl0_175 ),
    inference(resolution,[],[f1190,f399]) ).

fof(f399,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1190,plain,
    ( c1_1(a1672)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f3396,plain,
    ( spl0_241
    | ~ spl0_225
    | ~ spl0_42
    | ~ spl0_354 ),
    inference(avatar_split_clause,[],[f3385,f2318,f550,f1440,f1525]) ).

fof(f1525,plain,
    ( spl0_241
  <=> c1_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1440,plain,
    ( spl0_225
  <=> c0_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f2318,plain,
    ( spl0_354
  <=> c3_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f3385,plain,
    ( ~ c0_1(a1714)
    | c1_1(a1714)
    | ~ spl0_42
    | ~ spl0_354 ),
    inference(resolution,[],[f551,f2319]) ).

fof(f2319,plain,
    ( c3_1(a1714)
    | ~ spl0_354 ),
    inference(avatar_component_clause,[],[f2318]) ).

fof(f3395,plain,
    ( ~ spl0_313
    | spl0_315
    | ~ spl0_42
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f3376,f1715,f550,f1927,f1916]) ).

fof(f1916,plain,
    ( spl0_313
  <=> c0_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f1927,plain,
    ( spl0_315
  <=> c1_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f1715,plain,
    ( spl0_276
  <=> c3_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f3376,plain,
    ( c1_1(a1665)
    | ~ c0_1(a1665)
    | ~ spl0_42
    | ~ spl0_276 ),
    inference(resolution,[],[f551,f1717]) ).

fof(f1717,plain,
    ( c3_1(a1665)
    | ~ spl0_276 ),
    inference(avatar_component_clause,[],[f1715]) ).

fof(f3332,plain,
    ( spl0_307
    | ~ spl0_69
    | ~ spl0_131
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f3284,f1780,f969,f671,f1883]) ).

fof(f1883,plain,
    ( spl0_307
  <=> c3_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f671,plain,
    ( spl0_69
  <=> c0_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f969,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1780,plain,
    ( spl0_288
  <=> c2_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f3284,plain,
    ( ~ c0_1(a1716)
    | c3_1(a1716)
    | ~ spl0_131
    | ~ spl0_288 ),
    inference(resolution,[],[f970,f1782]) ).

fof(f1782,plain,
    ( c2_1(a1716)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f1780]) ).

fof(f970,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f3330,plain,
    ( ~ spl0_127
    | spl0_287
    | ~ spl0_131
    | ~ spl0_350 ),
    inference(avatar_split_clause,[],[f3288,f2180,f969,f1775,f948]) ).

fof(f948,plain,
    ( spl0_127
  <=> c0_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1775,plain,
    ( spl0_287
  <=> c3_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f2180,plain,
    ( spl0_350
  <=> c2_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f3288,plain,
    ( c3_1(a1675)
    | ~ c0_1(a1675)
    | ~ spl0_131
    | ~ spl0_350 ),
    inference(resolution,[],[f970,f2181]) ).

fof(f2181,plain,
    ( c2_1(a1675)
    | ~ spl0_350 ),
    inference(avatar_component_clause,[],[f2180]) ).

fof(f3277,plain,
    ( spl0_29
    | ~ spl0_254
    | ~ spl0_10
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f3026,f1766,f405,f1593,f488]) ).

fof(f488,plain,
    ( spl0_29
  <=> c1_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1593,plain,
    ( spl0_254
  <=> c3_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1766,plain,
    ( spl0_285
  <=> c2_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f3026,plain,
    ( ~ c3_1(a1666)
    | c1_1(a1666)
    | ~ spl0_10
    | ~ spl0_285 ),
    inference(resolution,[],[f1768,f406]) ).

fof(f1768,plain,
    ( c2_1(a1666)
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f1766]) ).

fof(f3264,plain,
    ( ~ spl0_246
    | spl0_352
    | ~ spl0_11
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f3245,f689,f408,f2209,f1549]) ).

fof(f1549,plain,
    ( spl0_246
  <=> c0_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f2209,plain,
    ( spl0_352
  <=> c2_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f689,plain,
    ( spl0_73
  <=> c3_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3245,plain,
    ( c2_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_11
    | ~ spl0_73 ),
    inference(resolution,[],[f409,f691]) ).

fof(f691,plain,
    ( c3_1(a1667)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f3254,plain,
    ( spl0_308
    | ~ spl0_339
    | ~ spl0_11
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f3234,f1394,f408,f2070,f1888]) ).

fof(f1888,plain,
    ( spl0_308
  <=> c2_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f2070,plain,
    ( spl0_339
  <=> c0_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f1394,plain,
    ( spl0_216
  <=> c3_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f3234,plain,
    ( ~ c0_1(a1674)
    | c2_1(a1674)
    | ~ spl0_11
    | ~ spl0_216 ),
    inference(resolution,[],[f409,f1396]) ).

fof(f1396,plain,
    ( c3_1(a1674)
    | ~ spl0_216 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f3209,plain,
    ( ~ spl0_227
    | spl0_63
    | ~ spl0_71
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2645,f742,f680,f644,f1450]) ).

fof(f1450,plain,
    ( spl0_227
  <=> c3_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f644,plain,
    ( spl0_63
  <=> c0_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f680,plain,
    ( spl0_71
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f742,plain,
    ( spl0_84
  <=> c2_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2645,plain,
    ( c0_1(a1676)
    | ~ c3_1(a1676)
    | ~ spl0_71
    | ~ spl0_84 ),
    inference(resolution,[],[f681,f744]) ).

fof(f744,plain,
    ( c2_1(a1676)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f681,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f3206,plain,
    ( spl0_145
    | spl0_183
    | spl0_91
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3198,f1170,f777,f1228,f1040]) ).

fof(f1170,plain,
    ( spl0_171
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3198,plain,
    ( c3_1(a1682)
    | c2_1(a1682)
    | spl0_91
    | ~ spl0_171 ),
    inference(resolution,[],[f1171,f779]) ).

fof(f779,plain,
    ( ~ c1_1(a1682)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1171,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f3205,plain,
    ( spl0_347
    | spl0_247
    | ~ spl0_171
    | spl0_322 ),
    inference(avatar_split_clause,[],[f3200,f1965,f1170,f1556,f2155]) ).

fof(f1965,plain,
    ( spl0_322
  <=> c1_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f3200,plain,
    ( c2_1(a1678)
    | c3_1(a1678)
    | ~ spl0_171
    | spl0_322 ),
    inference(resolution,[],[f1171,f1967]) ).

fof(f1967,plain,
    ( ~ c1_1(a1678)
    | spl0_322 ),
    inference(avatar_component_clause,[],[f1965]) ).

fof(f3118,plain,
    ( ~ spl0_73
    | spl0_252
    | ~ spl0_10
    | ~ spl0_352 ),
    inference(avatar_split_clause,[],[f3044,f2209,f405,f1582,f689]) ).

fof(f1582,plain,
    ( spl0_252
  <=> c1_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f3044,plain,
    ( c1_1(a1667)
    | ~ c3_1(a1667)
    | ~ spl0_10
    | ~ spl0_352 ),
    inference(resolution,[],[f2210,f406]) ).

fof(f2210,plain,
    ( c2_1(a1667)
    | ~ spl0_352 ),
    inference(avatar_component_clause,[],[f2209]) ).

fof(f3112,plain,
    ( spl0_194
    | ~ spl0_219
    | ~ spl0_26
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3109,f1079,f475,f1408,f1282]) ).

fof(f1282,plain,
    ( spl0_194
  <=> c2_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f1408,plain,
    ( spl0_219
  <=> c3_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f475,plain,
    ( spl0_26
  <=> c1_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f3109,plain,
    ( ~ c3_1(a1725)
    | c2_1(a1725)
    | ~ spl0_26
    | ~ spl0_153 ),
    inference(resolution,[],[f477,f1080]) ).

fof(f477,plain,
    ( c1_1(a1725)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f3015,plain,
    ( spl0_167
    | spl0_247
    | ~ spl0_172
    | spl0_322 ),
    inference(avatar_split_clause,[],[f3014,f1965,f1173,f1556,f1146]) ).

fof(f1173,plain,
    ( spl0_172
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f3014,plain,
    ( c2_1(a1678)
    | c0_1(a1678)
    | ~ spl0_172
    | spl0_322 ),
    inference(resolution,[],[f1967,f1174]) ).

fof(f1174,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f3006,plain,
    ( spl0_62
    | spl0_383
    | spl0_37
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2995,f1173,f527,f2934,f639]) ).

fof(f639,plain,
    ( spl0_62
  <=> c0_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2995,plain,
    ( c2_1(a1645)
    | c0_1(a1645)
    | spl0_37
    | ~ spl0_172 ),
    inference(resolution,[],[f1174,f529]) ).

fof(f529,plain,
    ( ~ c1_1(a1645)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f3005,plain,
    ( spl0_229
    | spl0_195
    | ~ spl0_172
    | spl0_279 ),
    inference(avatar_split_clause,[],[f2991,f1730,f1173,f1287,f1460]) ).

fof(f1730,plain,
    ( spl0_279
  <=> c1_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f2991,plain,
    ( c2_1(a1677)
    | c0_1(a1677)
    | ~ spl0_172
    | spl0_279 ),
    inference(resolution,[],[f1174,f1732]) ).

fof(f1732,plain,
    ( ~ c1_1(a1677)
    | spl0_279 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f2951,plain,
    ( spl0_123
    | spl0_163
    | spl0_112
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2903,f1170,f877,f1123,f929]) ).

fof(f929,plain,
    ( spl0_123
  <=> c3_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1123,plain,
    ( spl0_163
  <=> c2_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f877,plain,
    ( spl0_112
  <=> c1_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2903,plain,
    ( c2_1(a1681)
    | c3_1(a1681)
    | spl0_112
    | ~ spl0_171 ),
    inference(resolution,[],[f1171,f879]) ).

fof(f879,plain,
    ( ~ c1_1(a1681)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f2950,plain,
    ( spl0_270
    | spl0_331
    | ~ spl0_171
    | spl0_282 ),
    inference(avatar_split_clause,[],[f2906,f1748,f1170,f2013,f1679]) ).

fof(f1679,plain,
    ( spl0_270
  <=> c3_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f2013,plain,
    ( spl0_331
  <=> c2_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f1748,plain,
    ( spl0_282
  <=> c1_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f2906,plain,
    ( c2_1(a1664)
    | c3_1(a1664)
    | ~ spl0_171
    | spl0_282 ),
    inference(resolution,[],[f1171,f1750]) ).

fof(f1750,plain,
    ( ~ c1_1(a1664)
    | spl0_282 ),
    inference(avatar_component_clause,[],[f1748]) ).

fof(f2924,plain,
    ( spl0_368
    | spl0_195
    | ~ spl0_171
    | spl0_279 ),
    inference(avatar_split_clause,[],[f2905,f1730,f1170,f1287,f2580]) ).

fof(f2905,plain,
    ( c2_1(a1677)
    | c3_1(a1677)
    | ~ spl0_171
    | spl0_279 ),
    inference(resolution,[],[f1171,f1732]) ).

fof(f2853,plain,
    ( spl0_241
    | spl0_354
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2842,f1114,f605,f2318,f1525]) ).

fof(f605,plain,
    ( spl0_55
  <=> c2_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2842,plain,
    ( c3_1(a1714)
    | c1_1(a1714)
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(resolution,[],[f1115,f607]) ).

fof(f607,plain,
    ( c2_1(a1714)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2852,plain,
    ( spl0_180
    | spl0_157
    | ~ spl0_161
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f2850,f1277,f1114,f1094,f1212]) ).

fof(f1212,plain,
    ( spl0_180
  <=> c1_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1094,plain,
    ( spl0_157
  <=> c3_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1277,plain,
    ( spl0_193
  <=> c2_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f2850,plain,
    ( c3_1(a1671)
    | c1_1(a1671)
    | ~ spl0_161
    | ~ spl0_193 ),
    inference(resolution,[],[f1115,f1279]) ).

fof(f1279,plain,
    ( c2_1(a1671)
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f2821,plain,
    ( spl0_112
    | spl0_123
    | ~ spl0_155
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f2793,f2134,f1086,f929,f877]) ).

fof(f2134,plain,
    ( spl0_343
  <=> c0_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f2793,plain,
    ( c3_1(a1681)
    | c1_1(a1681)
    | ~ spl0_155
    | ~ spl0_343 ),
    inference(resolution,[],[f1087,f2136]) ).

fof(f2136,plain,
    ( c0_1(a1681)
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f2134]) ).

fof(f2813,plain,
    ( spl0_196
    | spl0_378
    | ~ spl0_74
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2786,f1086,f694,f2810,f1292]) ).

fof(f694,plain,
    ( spl0_74
  <=> c0_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2786,plain,
    ( c1_1(a1695)
    | c3_1(a1695)
    | ~ spl0_74
    | ~ spl0_155 ),
    inference(resolution,[],[f1087,f696]) ).

fof(f696,plain,
    ( c0_1(a1695)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f2797,plain,
    ( spl0_354
    | spl0_241
    | ~ spl0_155
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f2783,f1440,f1086,f1525,f2318]) ).

fof(f2783,plain,
    ( c1_1(a1714)
    | c3_1(a1714)
    | ~ spl0_155
    | ~ spl0_225 ),
    inference(resolution,[],[f1087,f1442]) ).

fof(f1442,plain,
    ( c0_1(a1714)
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1440]) ).

fof(f2795,plain,
    ( spl0_282
    | spl0_270
    | ~ spl0_155
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f2794,f2150,f1086,f1679,f1748]) ).

fof(f2150,plain,
    ( spl0_346
  <=> c0_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f2794,plain,
    ( c3_1(a1664)
    | c1_1(a1664)
    | ~ spl0_155
    | ~ spl0_346 ),
    inference(resolution,[],[f1087,f2152]) ).

fof(f2152,plain,
    ( c0_1(a1664)
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f2150]) ).

fof(f2767,plain,
    ( ~ spl0_295
    | spl0_250
    | ~ spl0_118
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2762,f1083,f903,f1572,f1818]) ).

fof(f1818,plain,
    ( spl0_295
  <=> c0_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f1572,plain,
    ( spl0_250
  <=> c3_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f903,plain,
    ( spl0_118
  <=> c1_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2762,plain,
    ( c3_1(a1638)
    | ~ c0_1(a1638)
    | ~ spl0_118
    | ~ spl0_154 ),
    inference(resolution,[],[f1084,f905]) ).

fof(f905,plain,
    ( c1_1(a1638)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f2609,plain,
    ( ~ spl0_130
    | ~ spl0_110
    | ~ spl0_51
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f2601,f1932,f587,f868,f963]) ).

fof(f963,plain,
    ( spl0_130
  <=> c2_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f868,plain,
    ( spl0_110
  <=> c3_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f587,plain,
    ( spl0_51
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1932,plain,
    ( spl0_316
  <=> c1_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f2601,plain,
    ( ~ c3_1(a1702)
    | ~ c2_1(a1702)
    | ~ spl0_51
    | ~ spl0_316 ),
    inference(resolution,[],[f1934,f588]) ).

fof(f588,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1934,plain,
    ( c1_1(a1702)
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f1932]) ).

fof(f2591,plain,
    ( spl0_322
    | spl0_167
    | ~ spl0_44
    | ~ spl0_347 ),
    inference(avatar_split_clause,[],[f2590,f2155,f556,f1146,f1965]) ).

fof(f556,plain,
    ( spl0_44
  <=> ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2590,plain,
    ( c0_1(a1678)
    | c1_1(a1678)
    | ~ spl0_44
    | ~ spl0_347 ),
    inference(resolution,[],[f2157,f557]) ).

fof(f557,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f2587,plain,
    ( spl0_279
    | spl0_229
    | ~ spl0_44
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f2586,f2580,f556,f1460,f1730]) ).

fof(f2586,plain,
    ( c0_1(a1677)
    | c1_1(a1677)
    | ~ spl0_44
    | ~ spl0_368 ),
    inference(resolution,[],[f2582,f557]) ).

fof(f2576,plain,
    ( spl0_233
    | spl0_328
    | ~ spl0_44
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2575,f803,f556,f1998,f1481]) ).

fof(f1481,plain,
    ( spl0_233
  <=> c0_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f1998,plain,
    ( spl0_328
  <=> c1_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f803,plain,
    ( spl0_96
  <=> c3_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2575,plain,
    ( c1_1(a1721)
    | c0_1(a1721)
    | ~ spl0_44
    | ~ spl0_96 ),
    inference(resolution,[],[f805,f557]) ).

fof(f805,plain,
    ( c3_1(a1721)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f2573,plain,
    ( spl0_196
    | ~ spl0_74
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2565,f969,f953,f694,f1292]) ).

fof(f2565,plain,
    ( ~ c0_1(a1695)
    | c3_1(a1695)
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(resolution,[],[f970,f955]) ).

fof(f955,plain,
    ( c2_1(a1695)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f2546,plain,
    ( ~ spl0_223
    | spl0_268
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f2541,f2417,f408,f1668,f1429]) ).

fof(f1668,plain,
    ( spl0_268
  <=> c2_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f2541,plain,
    ( c2_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(resolution,[],[f2418,f409]) ).

fof(f2418,plain,
    ( c3_1(a1637)
    | ~ spl0_361 ),
    inference(avatar_component_clause,[],[f2417]) ).

fof(f2531,plain,
    ( spl0_332
    | spl0_238
    | ~ spl0_102
    | spl0_265 ),
    inference(avatar_split_clause,[],[f2523,f1652,f831,f1509,f2018]) ).

fof(f2018,plain,
    ( spl0_332
  <=> c3_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f1509,plain,
    ( spl0_238
  <=> c0_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f1652,plain,
    ( spl0_265
  <=> c2_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f2523,plain,
    ( c0_1(a1663)
    | c3_1(a1663)
    | ~ spl0_102
    | spl0_265 ),
    inference(resolution,[],[f832,f1654]) ).

fof(f1654,plain,
    ( ~ c2_1(a1663)
    | spl0_265 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f2500,plain,
    ( ~ spl0_294
    | ~ spl0_20
    | ~ spl0_51
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f2493,f2407,f587,f447,f1813]) ).

fof(f1813,plain,
    ( spl0_294
  <=> c2_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f2493,plain,
    ( ~ c3_1(a1654)
    | ~ c2_1(a1654)
    | ~ spl0_51
    | ~ spl0_360 ),
    inference(resolution,[],[f2409,f588]) ).

fof(f2490,plain,
    ( ~ spl0_20
    | spl0_360
    | ~ spl0_10
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f2451,f1813,f405,f2407,f447]) ).

fof(f2451,plain,
    ( c1_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_10
    | ~ spl0_294 ),
    inference(resolution,[],[f1815,f406]) ).

fof(f1815,plain,
    ( c2_1(a1654)
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f2440,plain,
    ( ~ spl0_232
    | spl0_363
    | ~ spl0_8
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2432,f763,f398,f2436,f1476]) ).

fof(f2432,plain,
    ( c0_1(a1715)
    | ~ c3_1(a1715)
    | ~ spl0_8
    | ~ spl0_88 ),
    inference(resolution,[],[f765,f399]) ).

fof(f2410,plain,
    ( ~ spl0_129
    | spl0_360
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2404,f550,f447,f2407,f958]) ).

fof(f2404,plain,
    ( c1_1(a1654)
    | ~ c0_1(a1654)
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(resolution,[],[f449,f551]) ).

fof(f449,plain,
    ( c3_1(a1654)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f2401,plain,
    ( spl0_293
    | ~ spl0_16
    | ~ spl0_11
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f2393,f1243,f408,f429,f1808]) ).

fof(f1808,plain,
    ( spl0_293
  <=> c2_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f2393,plain,
    ( ~ c0_1(a1655)
    | c2_1(a1655)
    | ~ spl0_11
    | ~ spl0_186 ),
    inference(resolution,[],[f1245,f409]) ).

fof(f2375,plain,
    ( ~ spl0_85
    | spl0_24
    | ~ spl0_131
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f2362,f1336,f969,f466,f747]) ).

fof(f747,plain,
    ( spl0_85
  <=> c0_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f466,plain,
    ( spl0_24
  <=> c3_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1336,plain,
    ( spl0_205
  <=> c2_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f2362,plain,
    ( c3_1(a1656)
    | ~ c0_1(a1656)
    | ~ spl0_131
    | ~ spl0_205 ),
    inference(resolution,[],[f970,f1338]) ).

fof(f1338,plain,
    ( c2_1(a1656)
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f1336]) ).

fof(f2302,plain,
    ( ~ spl0_227
    | spl0_63
    | ~ spl0_8
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f2296,f2057,f398,f644,f1450]) ).

fof(f2057,plain,
    ( spl0_338
  <=> c1_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f2296,plain,
    ( c0_1(a1676)
    | ~ c3_1(a1676)
    | ~ spl0_8
    | ~ spl0_338 ),
    inference(resolution,[],[f399,f2059]) ).

fof(f2059,plain,
    ( c1_1(a1676)
    | ~ spl0_338 ),
    inference(avatar_component_clause,[],[f2057]) ).

fof(f2276,plain,
    ( ~ spl0_127
    | spl0_350
    | ~ spl0_108
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2266,f896,f858,f2180,f948]) ).

fof(f858,plain,
    ( spl0_108
  <=> c1_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f896,plain,
    ( spl0_116
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2266,plain,
    ( c2_1(a1675)
    | ~ c0_1(a1675)
    | ~ spl0_108
    | ~ spl0_116 ),
    inference(resolution,[],[f897,f860]) ).

fof(f860,plain,
    ( c1_1(a1675)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f897,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f2258,plain,
    ( spl0_287
    | spl0_350
    | ~ spl0_117
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2245,f948,f899,f2180,f1775]) ).

fof(f899,plain,
    ( spl0_117
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2245,plain,
    ( c2_1(a1675)
    | c3_1(a1675)
    | ~ spl0_117
    | ~ spl0_127 ),
    inference(resolution,[],[f900,f950]) ).

fof(f950,plain,
    ( c0_1(a1675)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f900,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f2238,plain,
    ( spl0_123
    | spl0_343
    | ~ spl0_102
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2232,f1123,f831,f2134,f929]) ).

fof(f2232,plain,
    ( c0_1(a1681)
    | c3_1(a1681)
    | ~ spl0_102
    | spl0_163 ),
    inference(resolution,[],[f832,f1125]) ).

fof(f1125,plain,
    ( ~ c2_1(a1681)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f2197,plain,
    ( spl0_252
    | ~ spl0_246
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2196,f689,f550,f1549,f1582]) ).

fof(f2196,plain,
    ( ~ c0_1(a1667)
    | c1_1(a1667)
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f551,f691]) ).

fof(f2159,plain,
    ( spl0_60
    | spl0_62
    | ~ spl0_9
    | spl0_37 ),
    inference(avatar_split_clause,[],[f2130,f527,f401,f639,f628]) ).

fof(f2130,plain,
    ( c0_1(a1645)
    | c3_1(a1645)
    | ~ spl0_9
    | spl0_37 ),
    inference(resolution,[],[f402,f529]) ).

fof(f402,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f2153,plain,
    ( spl0_270
    | spl0_346
    | ~ spl0_9
    | spl0_282 ),
    inference(avatar_split_clause,[],[f2129,f1748,f401,f2150,f1679]) ).

fof(f2129,plain,
    ( c0_1(a1664)
    | c3_1(a1664)
    | ~ spl0_9
    | spl0_282 ),
    inference(resolution,[],[f402,f1750]) ).

fof(f2115,plain,
    ( spl0_338
    | spl0_63
    | ~ spl0_44
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2104,f1450,f556,f644,f2057]) ).

fof(f2104,plain,
    ( c0_1(a1676)
    | c1_1(a1676)
    | ~ spl0_44
    | ~ spl0_227 ),
    inference(resolution,[],[f557,f1452]) ).

fof(f1452,plain,
    ( c3_1(a1676)
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f2114,plain,
    ( spl0_304
    | spl0_339
    | ~ spl0_44
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f2105,f1394,f556,f2070,f1867]) ).

fof(f1867,plain,
    ( spl0_304
  <=> c1_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f2105,plain,
    ( c0_1(a1674)
    | c1_1(a1674)
    | ~ spl0_44
    | ~ spl0_216 ),
    inference(resolution,[],[f557,f1396]) ).

fof(f2085,plain,
    ( ~ spl0_339
    | spl0_304
    | ~ spl0_42
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f2082,f1394,f550,f1867,f2070]) ).

fof(f2082,plain,
    ( c1_1(a1674)
    | ~ c0_1(a1674)
    | ~ spl0_42
    | ~ spl0_216 ),
    inference(resolution,[],[f551,f1396]) ).

fof(f2073,plain,
    ( spl0_339
    | spl0_308
    | ~ spl0_12
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f2066,f1394,f411,f1888,f2070]) ).

fof(f2066,plain,
    ( c2_1(a1674)
    | c0_1(a1674)
    | ~ spl0_12
    | ~ spl0_216 ),
    inference(resolution,[],[f412,f1396]) ).

fof(f2021,plain,
    ( ~ spl0_332
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f290,f823,f2018]) ).

fof(f823,plain,
    ( spl0_100
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f290,axiom,
    ( ~ hskp10
    | ~ c3_1(a1663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause290) ).

fof(f2016,plain,
    ( ~ spl0_331
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f287,f649,f2013]) ).

fof(f649,plain,
    ( spl0_64
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f287,axiom,
    ( ~ hskp11
    | ~ c2_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause287) ).

fof(f2001,plain,
    ( ~ spl0_70
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f229,f1998,f676]) ).

fof(f676,plain,
    ( spl0_70
  <=> hskp39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f229,axiom,
    ( ~ c1_1(a1721)
    | ~ hskp39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause229) ).

fof(f1975,plain,
    ( spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f74,f531,f370]) ).

fof(f370,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f531,plain,
    ( spl0_38
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f74,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f1973,plain,
    ( spl0_323
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f170,f1192,f1970]) ).

fof(f1192,plain,
    ( spl0_176
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f170,axiom,
    ( ~ hskp15
    | c3_1(a1672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f1968,plain,
    ( ~ spl0_322
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f276,f1099,f1965]) ).

fof(f1099,plain,
    ( spl0_158
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f276,axiom,
    ( ~ hskp17
    | ~ c1_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause276) ).

fof(f1953,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_8
    | spl0_68 ),
    inference(avatar_split_clause,[],[f351,f667,f398,f405,f370]) ).

fof(f667,plain,
    ( spl0_68
  <=> hskp73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f351,axiom,
    ! [X0,X1] :
      ( hskp73
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause351) ).

fof(f1935,plain,
    ( ~ spl0_111
    | spl0_316 ),
    inference(avatar_split_clause,[],[f100,f1932,f872]) ).

fof(f872,plain,
    ( spl0_111
  <=> hskp67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f100,axiom,
    ( c1_1(a1702)
    | ~ hskp67 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f1930,plain,
    ( ~ spl0_65
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f209,f1927,f653]) ).

fof(f653,plain,
    ( spl0_65
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f209,axiom,
    ( ~ c1_1(a1665)
    | ~ hskp57 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause209) ).

fof(f1919,plain,
    ( spl0_313
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f116,f653,f1916]) ).

fof(f116,axiom,
    ( ~ hskp57
    | c0_1(a1665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f1891,plain,
    ( ~ spl0_115
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f204,f1888,f892]) ).

fof(f892,plain,
    ( spl0_115
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f204,axiom,
    ( ~ c2_1(a1674)
    | ~ hskp61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f1886,plain,
    ( ~ spl0_68
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f188,f1883,f667]) ).

fof(f188,axiom,
    ( ~ c3_1(a1716)
    | ~ hskp73 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f1870,plain,
    ( ~ spl0_304
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f203,f892,f1867]) ).

fof(f203,axiom,
    ( ~ hskp61
    | ~ c1_1(a1674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f1821,plain,
    ( ~ spl0_97
    | spl0_295 ),
    inference(avatar_split_clause,[],[f145,f1818,f809]) ).

fof(f809,plain,
    ( spl0_97
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f145,axiom,
    ( c0_1(a1638)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f1816,plain,
    ( ~ spl0_19
    | spl0_294 ),
    inference(avatar_split_clause,[],[f126,f1813,f443]) ).

fof(f443,plain,
    ( spl0_19
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f126,axiom,
    ( c2_1(a1654)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f1811,plain,
    ( ~ spl0_1
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f297,f1808,f366]) ).

fof(f366,plain,
    ( spl0_1
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f297,axiom,
    ( ~ c2_1(a1655)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause297) ).

fof(f1791,plain,
    ( spl0_189
    | ~ spl0_2
    | spl0_42
    | spl0_158 ),
    inference(avatar_split_clause,[],[f328,f1099,f550,f370,f1257]) ).

fof(f1257,plain,
    ( spl0_189
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f328,axiom,
    ! [X0] :
      ( hskp17
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause328) ).

fof(f1783,plain,
    ( spl0_288
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f89,f667,f1780]) ).

fof(f89,axiom,
    ( ~ hskp73
    | c2_1(a1716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f1778,plain,
    ( ~ spl0_107
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f202,f1775,f854]) ).

fof(f854,plain,
    ( spl0_107
  <=> hskp62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f202,axiom,
    ( ~ c3_1(a1675)
    | ~ hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f1769,plain,
    ( spl0_285
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f175,f484,f1766]) ).

fof(f484,plain,
    ( spl0_28
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f175,axiom,
    ( ~ hskp12
    | c2_1(a1666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f1751,plain,
    ( ~ spl0_282
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f288,f649,f1748]) ).

fof(f288,axiom,
    ( ~ hskp11
    | ~ c1_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause288) ).

fof(f1741,plain,
    ( ~ spl0_280
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f243,f658,f1738]) ).

fof(f658,plain,
    ( spl0_66
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f243,axiom,
    ( ~ hskp33
    | ~ c2_1(a1704) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause243) ).

fof(f1733,plain,
    ( ~ spl0_279
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f280,f1257,f1730]) ).

fof(f280,axiom,
    ( ~ hskp16
    | ~ c1_1(a1677) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).

fof(f1718,plain,
    ( ~ spl0_65
    | spl0_276 ),
    inference(avatar_split_clause,[],[f117,f1715,f653]) ).

fof(f117,axiom,
    ( c3_1(a1665)
    | ~ hskp57 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f1701,plain,
    ( spl0_107
    | ~ spl0_2
    | spl0_115
    | spl0_8 ),
    inference(avatar_split_clause,[],[f327,f398,f892,f370,f854]) ).

fof(f327,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp61
      | ~ ndr1_0
      | c0_1(X0)
      | hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause327) ).

fof(f1683,plain,
    ( ~ spl0_125
    | spl0_2 ),
    inference(avatar_split_clause,[],[f73,f370,f938]) ).

fof(f938,plain,
    ( spl0_125
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f73,axiom,
    ( ndr1_0
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f1682,plain,
    ( ~ spl0_270
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f286,f649,f1679]) ).

fof(f286,axiom,
    ( ~ hskp11
    | ~ c3_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause286) ).

fof(f1677,plain,
    ( spl0_269
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f155,f658,f1674]) ).

fof(f155,axiom,
    ( ~ hskp33
    | c3_1(a1704) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f1671,plain,
    ( ~ spl0_268
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f312,f1156,f1668]) ).

fof(f1156,plain,
    ( spl0_169
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f312,axiom,
    ( ~ hskp0
    | ~ c2_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause312) ).

fof(f1661,plain,
    ( ~ spl0_49
    | spl0_266 ),
    inference(avatar_split_clause,[],[f112,f1658,f578]) ).

fof(f578,plain,
    ( spl0_49
  <=> hskp60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f112,axiom,
    ( c2_1(a1673)
    | ~ hskp60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f1656,plain,
    ( spl0_36
    | spl0_92
    | spl0_154
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f329,f370,f1083,f781,f521]) ).

fof(f521,plain,
    ( spl0_36
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f781,plain,
    ( spl0_92
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f329,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp20
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause329) ).

fof(f1655,plain,
    ( ~ spl0_265
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f289,f823,f1652]) ).

fof(f289,axiom,
    ( ~ hskp10
    | ~ c2_1(a1663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause289) ).

fof(f1633,plain,
    ( ~ spl0_176
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f281,f1630,f1192]) ).

fof(f281,axiom,
    ( ~ c0_1(a1672)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause281) ).

fof(f1618,plain,
    ( spl0_115
    | spl0_11
    | spl0_66
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f330,f370,f658,f408,f892]) ).

fof(f330,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp33
      | ~ c0_1(X0)
      | hskp61
      | c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause330) ).

fof(f1596,plain,
    ( spl0_254
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f176,f484,f1593]) ).

fof(f176,axiom,
    ( ~ hskp12
    | c3_1(a1666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f1585,plain,
    ( ~ spl0_252
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f284,f591,f1582]) ).

fof(f591,plain,
    ( spl0_52
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f284,axiom,
    ( ~ hskp13
    | ~ c1_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause284) ).

fof(f1575,plain,
    ( ~ spl0_250
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f226,f809,f1572]) ).

fof(f226,axiom,
    ( ~ hskp42
    | ~ c3_1(a1638) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause226) ).

fof(f1565,plain,
    ( spl0_248
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f184,f1156,f1562]) ).

fof(f184,axiom,
    ( ~ hskp0
    | c1_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f1560,plain,
    ( spl0_49
    | spl0_44
    | spl0_161
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f337,f370,f1114,f556,f578]) ).

fof(f337,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | hskp60
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause337) ).

fof(f1559,plain,
    ( ~ spl0_247
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f277,f1099,f1556]) ).

fof(f277,axiom,
    ( ~ hskp17
    | ~ c2_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause277) ).

fof(f1552,plain,
    ( spl0_246
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f173,f591,f1549]) ).

fof(f173,axiom,
    ( ~ hskp13
    | c0_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1528,plain,
    ( ~ spl0_241
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f233,f609,f1525]) ).

fof(f609,plain,
    ( spl0_56
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f233,axiom,
    ( ~ hskp37
    | ~ c1_1(a1714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause233) ).

fof(f1523,plain,
    ( ~ spl0_240
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f189,f767,f1520]) ).

fof(f767,plain,
    ( spl0_89
  <=> hskp72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f189,axiom,
    ( ~ hskp72
    | ~ c2_1(a1715) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f1518,plain,
    ( ~ spl0_78
    | spl0_2 ),
    inference(avatar_split_clause,[],[f29,f370,f714]) ).

fof(f714,plain,
    ( spl0_78
  <=> hskp47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f29,axiom,
    ( ndr1_0
    | ~ hskp47 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f1512,plain,
    ( ~ spl0_100
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f291,f1509,f823]) ).

fof(f291,axiom,
    ( ~ c0_1(a1663)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause291) ).

fof(f1485,plain,
    ( spl0_100
    | spl0_156
    | spl0_176 ),
    inference(avatar_split_clause,[],[f80,f1192,f1090,f823]) ).

fof(f1090,plain,
    ( spl0_156
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f80,axiom,
    ( hskp15
    | hskp14
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f1484,plain,
    ( ~ spl0_233
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f230,f676,f1481]) ).

fof(f230,axiom,
    ( ~ hskp39
    | ~ c0_1(a1721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause230) ).

fof(f1479,plain,
    ( ~ spl0_89
    | spl0_232 ),
    inference(avatar_split_clause,[],[f92,f1476,f767]) ).

fof(f92,axiom,
    ( c3_1(a1715)
    | ~ hskp72 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f1474,plain,
    ( spl0_97
    | ~ spl0_2
    | spl0_169
    | spl0_131 ),
    inference(avatar_split_clause,[],[f322,f969,f1156,f370,f809]) ).

fof(f322,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp0
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp42 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause322) ).

fof(f1473,plain,
    ( ~ spl0_49
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f205,f1470,f578]) ).

fof(f205,axiom,
    ( ~ c1_1(a1673)
    | ~ hskp60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).

fof(f1463,plain,
    ( ~ spl0_229
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f278,f1257,f1460]) ).

fof(f278,axiom,
    ( ~ hskp16
    | ~ c0_1(a1677) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause278) ).

fof(f1453,plain,
    ( spl0_227
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f107,f583,f1450]) ).

fof(f583,plain,
    ( spl0_50
  <=> hskp63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f107,axiom,
    ( ~ hskp63
    | c3_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f1443,plain,
    ( ~ spl0_56
    | spl0_225 ),
    inference(avatar_split_clause,[],[f153,f1440,f609]) ).

fof(f153,axiom,
    ( c0_1(a1714)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f1438,plain,
    ( spl0_78
    | spl0_38
    | spl0_125 ),
    inference(avatar_split_clause,[],[f78,f938,f531,f714]) ).

fof(f78,axiom,
    ( hskp3
    | hskp2
    | hskp47 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f1432,plain,
    ( ~ spl0_169
    | spl0_223 ),
    inference(avatar_split_clause,[],[f185,f1429,f1156]) ).

fof(f185,axiom,
    ( c0_1(a1637)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f1411,plain,
    ( spl0_219
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f149,f479,f1408]) ).

fof(f479,plain,
    ( spl0_27
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f149,axiom,
    ( ~ hskp40
    | c3_1(a1725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f1397,plain,
    ( spl0_216
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f110,f892,f1394]) ).

fof(f110,axiom,
    ( ~ hskp61
    | c3_1(a1674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f1378,plain,
    ( ~ spl0_2
    | spl0_111
    | spl0_42
    | spl0_10 ),
    inference(avatar_split_clause,[],[f349,f405,f550,f872,f370]) ).

fof(f349,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | hskp67
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause349) ).

fof(f1360,plain,
    ( ~ spl0_2
    | spl0_27
    | spl0_161
    | spl0_135 ),
    inference(avatar_split_clause,[],[f354,f988,f1114,f479,f370]) ).

fof(f354,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X1)
      | hskp40
      | ~ c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause354) ).

fof(f1339,plain,
    ( spl0_205
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f123,f470,f1336]) ).

fof(f470,plain,
    ( spl0_25
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f123,axiom,
    ( ~ hskp53
    | c2_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f1295,plain,
    ( ~ spl0_196
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f248,f698,f1292]) ).

fof(f698,plain,
    ( spl0_75
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f248,axiom,
    ( ~ hskp29
    | ~ c3_1(a1695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause248) ).

fof(f1290,plain,
    ( ~ spl0_189
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f279,f1287,f1257]) ).

fof(f279,axiom,
    ( ~ c2_1(a1677)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause279) ).

fof(f1285,plain,
    ( ~ spl0_27
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f228,f1282,f479]) ).

fof(f228,axiom,
    ( ~ c2_1(a1725)
    | ~ hskp40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).

fof(f1280,plain,
    ( spl0_193
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f172,f1090,f1277]) ).

fof(f172,axiom,
    ( ~ hskp14
    | c2_1(a1671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f1246,plain,
    ( ~ spl0_1
    | spl0_186 ),
    inference(avatar_split_clause,[],[f178,f1243,f366]) ).

fof(f178,axiom,
    ( c3_1(a1655)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f1231,plain,
    ( ~ spl0_183
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f268,f781,f1228]) ).

fof(f268,axiom,
    ( ~ hskp20
    | ~ c3_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause268) ).

fof(f1220,plain,
    ( ~ spl0_49
    | spl0_181 ),
    inference(avatar_split_clause,[],[f111,f1217,f578]) ).

fof(f111,axiom,
    ( c3_1(a1673)
    | ~ hskp60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f1215,plain,
    ( ~ spl0_180
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f282,f1090,f1212]) ).

fof(f282,axiom,
    ( ~ hskp14
    | ~ c1_1(a1671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause282) ).

fof(f1195,plain,
    ( spl0_175
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f171,f1192,f1188]) ).

fof(f171,axiom,
    ( ~ hskp15
    | c1_1(a1672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f1186,plain,
    ( ~ spl0_2
    | spl0_155
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f360,f411,f408,f1086,f370]) ).

fof(f360,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | c3_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause360) ).

fof(f1175,plain,
    ( spl0_131
    | spl0_171
    | spl0_172
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f359,f370,f1173,f1170,f969]) ).

fof(f359,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c2_1(X1)
      | c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause359) ).

fof(f1149,plain,
    ( ~ spl0_167
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f275,f1099,f1146]) ).

fof(f275,axiom,
    ( ~ hskp17
    | ~ c0_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause275) ).

fof(f1138,plain,
    ( spl0_52
    | spl0_153
    | ~ spl0_2
    | spl0_135 ),
    inference(avatar_split_clause,[],[f357,f988,f370,f1079,f591]) ).

fof(f357,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause357) ).

fof(f1127,plain,
    ( spl0_52
    | spl0_51
    | ~ spl0_2
    | spl0_28 ),
    inference(avatar_split_clause,[],[f332,f484,f370,f587,f591]) ).

fof(f332,axiom,
    ! [X0] :
      ( hskp12
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp13
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause332) ).

fof(f1126,plain,
    ( ~ spl0_163
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f271,f521,f1123]) ).

fof(f271,axiom,
    ( ~ hskp19
    | ~ c2_1(a1681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause271) ).

fof(f1108,plain,
    ( ~ spl0_2
    | spl0_19
    | spl0_131
    | spl0_1 ),
    inference(avatar_split_clause,[],[f324,f366,f969,f443,f370]) ).

fof(f324,axiom,
    ! [X0] :
      ( hskp7
      | ~ c0_1(X0)
      | hskp52
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause324) ).

fof(f1097,plain,
    ( ~ spl0_156
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f283,f1094,f1090]) ).

fof(f283,axiom,
    ( ~ c3_1(a1671)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause283) ).

fof(f1088,plain,
    ( spl0_38
    | ~ spl0_2
    | spl0_154
    | spl0_155 ),
    inference(avatar_split_clause,[],[f344,f1086,f1083,f370,f531]) ).

fof(f344,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause344) ).

fof(f1043,plain,
    ( ~ spl0_92
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f266,f1040,f781]) ).

fof(f266,axiom,
    ( ~ c2_1(a1682)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause266) ).

fof(f1000,plain,
    ( spl0_89
    | ~ spl0_2
    | spl0_102
    | spl0_56 ),
    inference(avatar_split_clause,[],[f314,f609,f831,f370,f767]) ).

fof(f314,axiom,
    ! [X0] :
      ( hskp37
      | c2_1(X0)
      | ~ ndr1_0
      | hskp72
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause314) ).

fof(f967,plain,
    ( spl0_75
    | spl0_25
    | spl0_19 ),
    inference(avatar_split_clause,[],[f83,f443,f470,f698]) ).

fof(f83,axiom,
    ( hskp52
    | hskp53
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f966,plain,
    ( spl0_130
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f101,f872,f963]) ).

fof(f101,axiom,
    ( ~ hskp67
    | c2_1(a1702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f961,plain,
    ( spl0_129
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f125,f443,f958]) ).

fof(f125,axiom,
    ( ~ hskp52
    | c0_1(a1654) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f956,plain,
    ( ~ spl0_75
    | spl0_128 ),
    inference(avatar_split_clause,[],[f161,f953,f698]) ).

fof(f161,axiom,
    ( c2_1(a1695)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f951,plain,
    ( ~ spl0_107
    | spl0_127 ),
    inference(avatar_split_clause,[],[f109,f948,f854]) ).

fof(f109,axiom,
    ( c0_1(a1675)
    | ~ hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f932,plain,
    ( ~ spl0_36
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f270,f929,f521]) ).

fof(f270,axiom,
    ( ~ c3_1(a1681)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause270) ).

fof(f906,plain,
    ( ~ spl0_97
    | spl0_118 ),
    inference(avatar_split_clause,[],[f144,f903,f809]) ).

fof(f144,axiom,
    ( c1_1(a1638)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f901,plain,
    ( spl0_115
    | spl0_116
    | spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f347,f370,f899,f896,f892]) ).

fof(f347,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | hskp61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause347) ).

fof(f880,plain,
    ( ~ spl0_112
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f269,f521,f877]) ).

fof(f269,axiom,
    ( ~ hskp19
    | ~ c1_1(a1681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause269) ).

fof(f875,plain,
    ( spl0_110
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f102,f872,f868]) ).

fof(f102,axiom,
    ( ~ hskp67
    | c3_1(a1702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f861,plain,
    ( ~ spl0_107
    | spl0_108 ),
    inference(avatar_split_clause,[],[f108,f858,f854]) ).

fof(f108,axiom,
    ( c1_1(a1675)
    | ~ hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f806,plain,
    ( spl0_96
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f150,f676,f803]) ).

fof(f150,axiom,
    ( ~ hskp39
    | c3_1(a1721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f784,plain,
    ( ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f267,f781,f777]) ).

fof(f267,axiom,
    ( ~ hskp20
    | ~ c1_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause267) ).

fof(f770,plain,
    ( spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f91,f767,f763]) ).

fof(f91,axiom,
    ( ~ hskp72
    | c1_1(a1715) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f751,plain,
    ( ~ spl0_2
    | spl0_44
    | spl0_75
    | spl0_42 ),
    inference(avatar_split_clause,[],[f346,f550,f698,f556,f370]) ).

fof(f346,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp29
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause346) ).

fof(f750,plain,
    ( spl0_85
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f124,f470,f747]) ).

fof(f124,axiom,
    ( ~ hskp53
    | c0_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f745,plain,
    ( spl0_84
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f106,f583,f742]) ).

fof(f106,axiom,
    ( ~ hskp63
    | c2_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f701,plain,
    ( spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f162,f698,f694]) ).

fof(f162,axiom,
    ( ~ hskp29
    | c0_1(a1695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f692,plain,
    ( spl0_73
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f174,f591,f689]) ).

fof(f174,axiom,
    ( ~ hskp13
    | c3_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f682,plain,
    ( spl0_11
    | spl0_70
    | ~ spl0_2
    | spl0_71 ),
    inference(avatar_split_clause,[],[f353,f680,f370,f676,f408]) ).

fof(f353,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp39
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause353) ).

fof(f674,plain,
    ( ~ spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f90,f671,f667]) ).

fof(f90,axiom,
    ( c0_1(a1716)
    | ~ hskp73 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f665,plain,
    ( ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f242,f662,f658]) ).

fof(f242,axiom,
    ( ~ c0_1(a1704)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause242) ).

fof(f656,plain,
    ( spl0_64
    | spl0_11
    | ~ spl0_2
    | spl0_65 ),
    inference(avatar_split_clause,[],[f326,f653,f370,f408,f649]) ).

fof(f326,axiom,
    ! [X0] :
      ( hskp57
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause326) ).

fof(f647,plain,
    ( ~ spl0_63
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f201,f583,f644]) ).

fof(f201,axiom,
    ( ~ hskp63
    | ~ c0_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f642,plain,
    ( ~ spl0_62
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f308,f531,f639]) ).

fof(f308,axiom,
    ( ~ hskp2
    | ~ c0_1(a1645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause308) ).

fof(f631,plain,
    ( ~ spl0_60
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f309,f531,f628]) ).

fof(f309,axiom,
    ( ~ hskp2
    | ~ c3_1(a1645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause309) ).

fof(f612,plain,
    ( spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f152,f609,f605]) ).

fof(f152,axiom,
    ( ~ hskp37
    | c2_1(a1714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f589,plain,
    ( spl0_50
    | ~ spl0_2
    | spl0_51
    | spl0_42 ),
    inference(avatar_split_clause,[],[f355,f550,f587,f370,f583]) ).

fof(f355,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp63
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause355) ).

fof(f558,plain,
    ( spl0_42
    | ~ spl0_2
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f363,f556,f553,f370,f550]) ).

fof(f363,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause363) ).

fof(f534,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f307,f531,f527]) ).

fof(f307,axiom,
    ( ~ hskp2
    | ~ c1_1(a1645) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause307) ).

fof(f491,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f285,f488,f484]) ).

fof(f285,axiom,
    ( ~ c1_1(a1666)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause285) ).

fof(f482,plain,
    ( spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f148,f479,f475]) ).

fof(f148,axiom,
    ( ~ hskp40
    | c1_1(a1725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f473,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f214,f470,f466]) ).

fof(f214,axiom,
    ( ~ hskp53
    | ~ c3_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause214) ).

fof(f450,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f127,f447,f443]) ).

fof(f127,axiom,
    ( c3_1(a1654)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f432,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f366,f429]) ).

fof(f179,axiom,
    ( ~ hskp7
    | c0_1(a1655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f413,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f362,f411,f408,f370,f405]) ).

fof(f362,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause362) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN457-1 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 22:19:16 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  % (10141)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.47  % (10150)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.48  % (10142)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48  % (10138)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.49  % (10133)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49  % (10134)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  Detected maximum model sizes of [76]
% 0.16/0.49  TRYING [1]
% 0.16/0.50  TRYING [2]
% 0.16/0.50  % (10149)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.50  TRYING [3]
% 0.16/0.50  % (10130)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (10137)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50  % (10139)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.50  % (10127)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.50  % (10128)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.51  % (10134)Instruction limit reached!
% 0.16/0.51  % (10134)------------------------------
% 0.16/0.51  % (10134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (10134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (10134)Termination reason: Unknown
% 0.16/0.51  % (10134)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (10134)Memory used [KB]: 6524
% 0.16/0.51  % (10134)Time elapsed: 0.013 s
% 0.16/0.51  % (10134)Instructions burned: 8 (million)
% 0.16/0.51  % (10134)------------------------------
% 0.16/0.51  % (10134)------------------------------
% 0.16/0.52  % (10140)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52  % (10129)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.52  % (10131)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53  TRYING [4]
% 0.16/0.53  % (10132)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.53  Detected maximum model sizes of [76]
% 0.16/0.53  TRYING [1]
% 0.16/0.54  TRYING [2]
% 0.16/0.54  % (10153)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.54  % (10154)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.54  % (10143)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.54  % (10144)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.54  % (10156)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.54  % (10147)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.55  % (10135)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.55  % (10146)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55  % (10135)Instruction limit reached!
% 0.16/0.55  % (10135)------------------------------
% 0.16/0.55  % (10135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (10135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (10135)Termination reason: Unknown
% 0.16/0.55  % (10135)Termination phase: shuffling
% 0.16/0.55  
% 0.16/0.55  % (10135)Memory used [KB]: 1151
% 0.16/0.55  % (10135)Time elapsed: 0.004 s
% 0.16/0.55  % (10135)Instructions burned: 2 (million)
% 0.16/0.55  % (10135)------------------------------
% 0.16/0.55  % (10135)------------------------------
% 0.16/0.55  % (10133)Instruction limit reached!
% 0.16/0.55  % (10133)------------------------------
% 0.16/0.55  % (10133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (10152)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.55  % (10151)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.55  % (10148)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.55  % (10145)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55  % (10133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (10133)Termination reason: Unknown
% 0.16/0.55  % (10133)Termination phase: Finite model building SAT solving
% 0.16/0.55  
% 0.16/0.55  % (10133)Memory used [KB]: 6524
% 0.16/0.55  % (10133)Time elapsed: 0.163 s
% 0.16/0.55  % (10133)Instructions burned: 51 (million)
% 0.16/0.55  % (10133)------------------------------
% 0.16/0.55  % (10133)------------------------------
% 0.16/0.55  % (10136)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.55  TRYING [3]
% 0.16/0.56  % (10155)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.57  Detected maximum model sizes of [76]
% 0.16/0.57  TRYING [1]
% 0.16/0.57  TRYING [2]
% 0.16/0.58  TRYING [4]
% 0.16/0.59  % (10141)Instruction limit reached!
% 0.16/0.59  % (10141)------------------------------
% 0.16/0.59  % (10141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59  % (10141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59  % (10141)Termination reason: Unknown
% 0.16/0.59  % (10141)Termination phase: Saturation
% 0.16/0.59  
% 0.16/0.59  % (10141)Memory used [KB]: 6780
% 0.16/0.59  % (10141)Time elapsed: 0.066 s
% 0.16/0.59  % (10141)Instructions burned: 68 (million)
% 0.16/0.59  % (10141)------------------------------
% 0.16/0.59  % (10141)------------------------------
% 0.16/0.59  TRYING [3]
% 2.02/0.60  TRYING [4]
% 2.02/0.61  % (10142)Instruction limit reached!
% 2.02/0.61  % (10142)------------------------------
% 2.02/0.61  % (10142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.61  % (10130)Instruction limit reached!
% 2.02/0.61  % (10130)------------------------------
% 2.02/0.61  % (10130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.61  % (10130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.61  % (10130)Termination reason: Unknown
% 2.02/0.61  % (10130)Termination phase: Saturation
% 2.02/0.61  
% 2.02/0.61  % (10130)Memory used [KB]: 7419
% 2.02/0.61  % (10130)Time elapsed: 0.247 s
% 2.02/0.61  % (10130)Instructions burned: 52 (million)
% 2.02/0.61  % (10130)------------------------------
% 2.02/0.61  % (10130)------------------------------
% 2.30/0.62  % (10137)Instruction limit reached!
% 2.30/0.62  % (10137)------------------------------
% 2.30/0.62  % (10137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.62  % (10128)Refutation not found, incomplete strategy% (10128)------------------------------
% 2.30/0.62  % (10128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.62  % (10142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.62  % (10142)Termination reason: Unknown
% 2.30/0.62  % (10142)Termination phase: Saturation
% 2.30/0.62  
% 2.30/0.62  % (10142)Memory used [KB]: 1535
% 2.30/0.62  % (10142)Time elapsed: 0.182 s
% 2.30/0.62  % (10142)Instructions burned: 75 (million)
% 2.30/0.62  % (10142)------------------------------
% 2.30/0.62  % (10142)------------------------------
% 2.30/0.62  % (10129)Instruction limit reached!
% 2.30/0.62  % (10129)------------------------------
% 2.30/0.62  % (10129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.62  % (10129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.62  % (10129)Termination reason: Unknown
% 2.30/0.62  % (10129)Termination phase: Saturation
% 2.30/0.62  
% 2.30/0.62  % (10129)Memory used [KB]: 1535
% 2.30/0.62  % (10129)Time elapsed: 0.232 s
% 2.30/0.62  % (10129)Instructions burned: 37 (million)
% 2.30/0.62  % (10129)------------------------------
% 2.30/0.62  % (10129)------------------------------
% 2.30/0.62  % (10128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.62  % (10128)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.62  
% 2.30/0.62  % (10128)Memory used [KB]: 7036
% 2.30/0.62  % (10128)Time elapsed: 0.226 s
% 2.30/0.62  % (10128)Instructions burned: 44 (million)
% 2.30/0.62  % (10128)------------------------------
% 2.30/0.62  % (10128)------------------------------
% 2.30/0.63  % (10137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.63  % (10137)Termination reason: Unknown
% 2.30/0.63  % (10137)Termination phase: Saturation
% 2.30/0.63  
% 2.30/0.63  % (10137)Memory used [KB]: 7419
% 2.30/0.63  % (10137)Time elapsed: 0.241 s
% 2.30/0.63  % (10137)Instructions burned: 51 (million)
% 2.30/0.63  % (10137)------------------------------
% 2.30/0.63  % (10137)------------------------------
% 2.30/0.63  % (10131)Instruction limit reached!
% 2.30/0.63  % (10131)------------------------------
% 2.30/0.63  % (10131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.65  % (10144)Instruction limit reached!
% 2.50/0.65  % (10144)------------------------------
% 2.50/0.65  % (10144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.65  % (10131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.65  % (10131)Termination reason: Unknown
% 2.50/0.65  % (10131)Termination phase: Saturation
% 2.50/0.65  
% 2.50/0.65  % (10131)Memory used [KB]: 7291
% 2.50/0.65  % (10131)Time elapsed: 0.261 s
% 2.50/0.65  % (10131)Instructions burned: 52 (million)
% 2.50/0.65  % (10131)------------------------------
% 2.50/0.65  % (10131)------------------------------
% 2.50/0.65  % (10144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.65  % (10144)Termination reason: Unknown
% 2.50/0.65  % (10144)Termination phase: Finite model building SAT solving
% 2.50/0.65  
% 2.50/0.65  % (10144)Memory used [KB]: 6652
% 2.50/0.65  % (10144)Time elapsed: 0.218 s
% 2.50/0.65  % (10144)Instructions burned: 60 (million)
% 2.50/0.65  % (10144)------------------------------
% 2.50/0.65  % (10144)------------------------------
% 2.50/0.65  % (10132)Instruction limit reached!
% 2.50/0.65  % (10132)------------------------------
% 2.50/0.65  % (10132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.66  % (10136)Instruction limit reached!
% 2.50/0.66  % (10136)------------------------------
% 2.50/0.66  % (10136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.66  % (10136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.66  % (10136)Termination reason: Unknown
% 2.50/0.66  % (10136)Termination phase: Saturation
% 2.50/0.66  
% 2.50/0.66  % (10136)Memory used [KB]: 1663
% 2.50/0.66  % (10136)Time elapsed: 0.280 s
% 2.50/0.66  % (10136)Instructions burned: 51 (million)
% 2.50/0.66  % (10136)------------------------------
% 2.50/0.66  % (10136)------------------------------
% 2.50/0.67  TRYING [5]
% 2.50/0.67  % (10132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.67  % (10132)Termination reason: Unknown
% 2.50/0.67  % (10132)Termination phase: Saturation
% 2.50/0.67  
% 2.50/0.67  % (10132)Memory used [KB]: 7547
% 2.50/0.67  % (10132)Time elapsed: 0.278 s
% 2.50/0.67  % (10132)Instructions burned: 48 (million)
% 2.50/0.67  % (10132)------------------------------
% 2.50/0.67  % (10132)------------------------------
% 2.50/0.67  % (10138)First to succeed.
% 2.50/0.70  % (10153)Instruction limit reached!
% 2.50/0.70  % (10153)------------------------------
% 2.50/0.70  % (10153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.70  % (10153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.70  % (10153)Termination reason: Unknown
% 2.50/0.70  % (10153)Termination phase: Saturation
% 2.50/0.70  
% 2.50/0.70  % (10153)Memory used [KB]: 6652
% 2.50/0.70  % (10153)Time elapsed: 0.049 s
% 2.50/0.70  % (10153)Instructions burned: 68 (million)
% 2.50/0.70  % (10153)------------------------------
% 2.50/0.70  % (10153)------------------------------
% 2.50/0.70  % (10138)Refutation found. Thanks to Tanya!
% 2.50/0.70  % SZS status Unsatisfiable for theBenchmark
% 2.50/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.50/0.70  % (10138)------------------------------
% 2.50/0.70  % (10138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.50/0.70  % (10138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.70  % (10138)Termination reason: Refutation
% 2.50/0.70  
% 2.50/0.70  % (10138)Memory used [KB]: 8187
% 2.50/0.70  % (10138)Time elapsed: 0.291 s
% 2.50/0.70  % (10138)Instructions burned: 80 (million)
% 2.50/0.70  % (10138)------------------------------
% 2.50/0.70  % (10138)------------------------------
% 2.50/0.70  % (10126)Success in time 0.377 s
%------------------------------------------------------------------------------