TSTP Solution File: SYN510-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN510-1 : 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 : n018.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 19:38:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 270
% Syntax : Number of formulae : 612 ( 1 unt; 0 def)
% Number of atoms : 1889 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2199 ( 922 ~;1130 |; 0 &)
% ( 147 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 180 ( 179 usr; 176 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2336,plain,
$false,
inference(avatar_sat_refutation,[],[f217,f226,f235,f244,f270,f279,f284,f307,f312,f317,f331,f338,f350,f363,f372,f381,f386,f395,f400,f408,f426,f431,f436,f441,f446,f455,f459,f468,f482,f497,f503,f508,f512,f522,f527,f535,f536,f541,f553,f555,f562,f570,f571,f576,f580,f589,f590,f595,f604,f608,f614,f632,f637,f651,f652,f662,f667,f672,f683,f688,f693,f701,f704,f709,f716,f718,f723,f727,f732,f733,f734,f739,f745,f746,f747,f752,f758,f763,f764,f770,f775,f781,f786,f796,f803,f804,f809,f815,f820,f836,f845,f850,f855,f860,f871,f877,f882,f888,f900,f901,f903,f914,f919,f928,f933,f944,f954,f957,f958,f967,f972,f975,f980,f981,f982,f995,f996,f1001,f1003,f1004,f1005,f1011,f1028,f1039,f1054,f1071,f1088,f1097,f1114,f1120,f1122,f1135,f1136,f1142,f1156,f1173,f1201,f1218,f1224,f1243,f1246,f1254,f1277,f1316,f1341,f1342,f1349,f1370,f1378,f1417,f1418,f1437,f1483,f1484,f1485,f1536,f1537,f1541,f1565,f1566,f1570,f1607,f1629,f1630,f1646,f1648,f1649,f1669,f1691,f1739,f1938,f1966,f1969,f1970,f1972,f1987,f2014,f2015,f2020,f2031,f2032,f2033,f2034,f2046,f2047,f2119,f2121,f2166,f2178,f2181,f2207,f2209,f2222,f2273,f2308,f2335]) ).
fof(f2335,plain,
( ~ spl0_132
| spl0_191
| ~ spl0_34
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2325,f448,f348,f2042,f852]) ).
fof(f852,plain,
( spl0_132
<=> c3_1(a562) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2042,plain,
( spl0_191
<=> c0_1(a562) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f348,plain,
( spl0_34
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f448,plain,
( spl0_56
<=> c2_1(a562) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f2325,plain,
( c0_1(a562)
| ~ c3_1(a562)
| ~ spl0_34
| ~ spl0_56 ),
inference(resolution,[],[f349,f450]) ).
fof(f450,plain,
( c2_1(a562)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f349,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f2308,plain,
( ~ spl0_1
| ~ spl0_107
| ~ spl0_84
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2307,f1346,f587,f713,f210]) ).
fof(f210,plain,
( spl0_1
<=> c0_1(a544) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f713,plain,
( spl0_107
<=> c1_1(a544) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f587,plain,
( spl0_84
<=> ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1346,plain,
( spl0_182
<=> c2_1(a544) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2307,plain,
( ~ c1_1(a544)
| ~ c0_1(a544)
| ~ spl0_84
| ~ spl0_182 ),
inference(resolution,[],[f1348,f588]) ).
fof(f588,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1348,plain,
( c2_1(a544)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f2273,plain,
( spl0_125
| spl0_157
| ~ spl0_80
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2271,f842,f568,f998,f817]) ).
fof(f817,plain,
( spl0_125
<=> c1_1(a537) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f998,plain,
( spl0_157
<=> c3_1(a537) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f568,plain,
( spl0_80
<=> ! [X0] :
( c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f842,plain,
( spl0_130
<=> c2_1(a537) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2271,plain,
( c3_1(a537)
| c1_1(a537)
| ~ spl0_80
| ~ spl0_130 ),
inference(resolution,[],[f569,f844]) ).
fof(f844,plain,
( c2_1(a537)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f569,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f2222,plain,
( ~ spl0_191
| ~ spl0_138
| ~ spl0_11
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2212,f852,f253,f885,f2042]) ).
fof(f885,plain,
( spl0_138
<=> c1_1(a562) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f253,plain,
( spl0_11
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2212,plain,
( ~ c1_1(a562)
| ~ c0_1(a562)
| ~ spl0_11
| ~ spl0_132 ),
inference(resolution,[],[f254,f854]) ).
fof(f854,plain,
( c3_1(a562)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f254,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f2209,plain,
( spl0_185
| spl0_8
| ~ spl0_35
| spl0_153 ),
inference(avatar_split_clause,[],[f2190,f977,f352,f241,f1414]) ).
fof(f1414,plain,
( spl0_185
<=> c3_1(a590) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f241,plain,
( spl0_8
<=> c0_1(a590) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f352,plain,
( spl0_35
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f977,plain,
( spl0_153
<=> c2_1(a590) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2190,plain,
( c0_1(a590)
| c3_1(a590)
| ~ spl0_35
| spl0_153 ),
inference(resolution,[],[f353,f979]) ).
fof(f979,plain,
( ~ c2_1(a590)
| spl0_153 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f353,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c3_1(X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f2207,plain,
( spl0_112
| spl0_169
| ~ spl0_35
| spl0_115 ),
inference(avatar_split_clause,[],[f2205,f760,f352,f1105,f742]) ).
fof(f742,plain,
( spl0_112
<=> c3_1(a538) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1105,plain,
( spl0_169
<=> c0_1(a538) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f760,plain,
( spl0_115
<=> c2_1(a538) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2205,plain,
( c0_1(a538)
| c3_1(a538)
| ~ spl0_35
| spl0_115 ),
inference(resolution,[],[f353,f762]) ).
fof(f762,plain,
( ~ c2_1(a538)
| spl0_115 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f2181,plain,
( spl0_42
| ~ spl0_105
| ~ spl0_30
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2173,f360,f333,f698,f383]) ).
fof(f383,plain,
( spl0_42
<=> c2_1(a565) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f698,plain,
( spl0_105
<=> c0_1(a565) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f333,plain,
( spl0_30
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f360,plain,
( spl0_37
<=> c3_1(a565) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2173,plain,
( ~ c0_1(a565)
| c2_1(a565)
| ~ spl0_30
| ~ spl0_37 ),
inference(resolution,[],[f334,f362]) ).
fof(f362,plain,
( c3_1(a565)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f334,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f2178,plain,
( ~ spl0_72
| spl0_178
| ~ spl0_30
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2168,f897,f333,f1240,f524]) ).
fof(f524,plain,
( spl0_72
<=> c0_1(a563) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1240,plain,
( spl0_178
<=> c2_1(a563) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f897,plain,
( spl0_140
<=> c3_1(a563) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f2168,plain,
( c2_1(a563)
| ~ c0_1(a563)
| ~ spl0_30
| ~ spl0_140 ),
inference(resolution,[],[f334,f899]) ).
fof(f899,plain,
( c3_1(a563)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f2166,plain,
( spl0_81
| ~ spl0_172
| ~ spl0_41
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2085,f725,f378,f1139,f573]) ).
fof(f573,plain,
( spl0_81
<=> c0_1(a584) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1139,plain,
( spl0_172
<=> c1_1(a584) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f378,plain,
( spl0_41
<=> c3_1(a584) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f725,plain,
( spl0_109
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2085,plain,
( ~ c1_1(a584)
| c0_1(a584)
| ~ spl0_41
| ~ spl0_109 ),
inference(resolution,[],[f726,f380]) ).
fof(f380,plain,
( c3_1(a584)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f726,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f2121,plain,
( spl0_158
| ~ spl0_168
| ~ spl0_63
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2090,f725,f479,f1094,f1008]) ).
fof(f1008,plain,
( spl0_158
<=> c0_1(a566) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1094,plain,
( spl0_168
<=> c1_1(a566) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f479,plain,
( spl0_63
<=> c3_1(a566) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2090,plain,
( ~ c1_1(a566)
| c0_1(a566)
| ~ spl0_63
| ~ spl0_109 ),
inference(resolution,[],[f726,f481]) ).
fof(f481,plain,
( c3_1(a566)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f2119,plain,
( spl0_133
| spl0_54
| ~ spl0_26
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2105,f773,f314,f438,f857]) ).
fof(f857,plain,
( spl0_133
<=> c0_1(a594) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f438,plain,
( spl0_54
<=> c1_1(a594) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f314,plain,
( spl0_26
<=> c2_1(a594) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f773,plain,
( spl0_117
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2105,plain,
( c1_1(a594)
| c0_1(a594)
| ~ spl0_26
| ~ spl0_117 ),
inference(resolution,[],[f774,f316]) ).
fof(f316,plain,
( c2_1(a594)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f774,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f2047,plain,
( ~ spl0_138
| ~ spl0_132
| ~ spl0_56
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2037,f457,f448,f852,f885]) ).
fof(f457,plain,
( spl0_58
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2037,plain,
( ~ c3_1(a562)
| ~ c1_1(a562)
| ~ spl0_56
| ~ spl0_58 ),
inference(resolution,[],[f450,f458]) ).
fof(f458,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2046,plain,
( ~ spl0_191
| ~ spl0_132
| ~ spl0_12
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2039,f448,f256,f852,f2042]) ).
fof(f256,plain,
( spl0_12
<=> ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2039,plain,
( ~ c3_1(a562)
| ~ c0_1(a562)
| ~ spl0_12
| ~ spl0_56 ),
inference(resolution,[],[f450,f257]) ).
fof(f257,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f2034,plain,
( spl0_190
| ~ spl0_43
| ~ spl0_47
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2024,f964,f406,f388,f2028]) ).
fof(f2028,plain,
( spl0_190
<=> c1_1(a536) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f388,plain,
( spl0_43
<=> c0_1(a536) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f406,plain,
( spl0_47
<=> ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f964,plain,
( spl0_151
<=> c2_1(a536) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f2024,plain,
( ~ c0_1(a536)
| c1_1(a536)
| ~ spl0_47
| ~ spl0_151 ),
inference(resolution,[],[f966,f407]) ).
fof(f407,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f966,plain,
( c2_1(a536)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f2033,plain,
( ~ spl0_190
| ~ spl0_43
| ~ spl0_84
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2021,f964,f587,f388,f2028]) ).
fof(f2021,plain,
( ~ c0_1(a536)
| ~ c1_1(a536)
| ~ spl0_84
| ~ spl0_151 ),
inference(resolution,[],[f966,f588]) ).
fof(f2032,plain,
( ~ spl0_43
| spl0_156
| ~ spl0_15
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2026,f964,f268,f992,f388]) ).
fof(f992,plain,
( spl0_156
<=> c3_1(a536) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f268,plain,
( spl0_15
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2026,plain,
( c3_1(a536)
| ~ c0_1(a536)
| ~ spl0_15
| ~ spl0_151 ),
inference(resolution,[],[f966,f269]) ).
fof(f269,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f2031,plain,
( spl0_190
| spl0_156
| ~ spl0_80
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2022,f964,f568,f992,f2028]) ).
fof(f2022,plain,
( c3_1(a536)
| c1_1(a536)
| ~ spl0_80
| ~ spl0_151 ),
inference(resolution,[],[f966,f569]) ).
fof(f2020,plain,
( spl0_85
| ~ spl0_53
| ~ spl0_108
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2008,f725,f720,f433,f592]) ).
fof(f592,plain,
( spl0_85
<=> c0_1(a551) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f433,plain,
( spl0_53
<=> c1_1(a551) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f720,plain,
( spl0_108
<=> c3_1(a551) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2008,plain,
( ~ c1_1(a551)
| c0_1(a551)
| ~ spl0_108
| ~ spl0_109 ),
inference(resolution,[],[f726,f722]) ).
fof(f722,plain,
( c3_1(a551)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2015,plain,
( ~ spl0_113
| spl0_8
| ~ spl0_109
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1998,f1414,f725,f241,f749]) ).
fof(f749,plain,
( spl0_113
<=> c1_1(a590) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1998,plain,
( c0_1(a590)
| ~ c1_1(a590)
| ~ spl0_109
| ~ spl0_185 ),
inference(resolution,[],[f726,f1416]) ).
fof(f1416,plain,
( c3_1(a590)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f2014,plain,
( spl0_162
| ~ spl0_121
| ~ spl0_96
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2007,f725,f648,f793,f1036]) ).
fof(f1036,plain,
( spl0_162
<=> c0_1(a553) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f793,plain,
( spl0_121
<=> c1_1(a553) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f648,plain,
( spl0_96
<=> c3_1(a553) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f2007,plain,
( ~ c1_1(a553)
| c0_1(a553)
| ~ spl0_96
| ~ spl0_109 ),
inference(resolution,[],[f726,f650]) ).
fof(f650,plain,
( c3_1(a553)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1987,plain,
( spl0_112
| spl0_89
| ~ spl0_101
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f1986,f1105,f676,f611,f742]) ).
fof(f611,plain,
( spl0_89
<=> c1_1(a538) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f676,plain,
( spl0_101
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1986,plain,
( c1_1(a538)
| c3_1(a538)
| ~ spl0_101
| ~ spl0_169 ),
inference(resolution,[],[f677,f1107]) ).
fof(f1107,plain,
( c0_1(a538)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f677,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1972,plain,
( spl0_148
| spl0_182
| ~ spl0_69
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1742,f713,f510,f1346,f941]) ).
fof(f941,plain,
( spl0_148
<=> c3_1(a544) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f510,plain,
( spl0_69
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1742,plain,
( c2_1(a544)
| c3_1(a544)
| ~ spl0_69
| ~ spl0_107 ),
inference(resolution,[],[f715,f511]) ).
fof(f511,plain,
( ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f715,plain,
( c1_1(a544)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1970,plain,
( spl0_146
| spl0_59
| ~ spl0_77
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1959,f606,f550,f461,f930]) ).
fof(f930,plain,
( spl0_146
<=> c0_1(a546) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f461,plain,
( spl0_59
<=> c1_1(a546) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f550,plain,
( spl0_77
<=> c3_1(a546) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f606,plain,
( spl0_88
<=> ! [X0] :
( c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1959,plain,
( c1_1(a546)
| c0_1(a546)
| ~ spl0_77
| ~ spl0_88 ),
inference(resolution,[],[f607,f552]) ).
fof(f552,plain,
( c3_1(a546)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f607,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1969,plain,
( spl0_158
| spl0_168
| ~ spl0_63
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1954,f606,f479,f1094,f1008]) ).
fof(f1954,plain,
( c1_1(a566)
| c0_1(a566)
| ~ spl0_63
| ~ spl0_88 ),
inference(resolution,[],[f607,f481]) ).
fof(f1966,plain,
( spl0_133
| spl0_54
| ~ spl0_88
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1947,f1084,f606,f438,f857]) ).
fof(f1084,plain,
( spl0_167
<=> c3_1(a594) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1947,plain,
( c1_1(a594)
| c0_1(a594)
| ~ spl0_88
| ~ spl0_167 ),
inference(resolution,[],[f607,f1085]) ).
fof(f1085,plain,
( c3_1(a594)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1938,plain,
( ~ spl0_113
| spl0_153
| ~ spl0_87
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1915,f1414,f602,f977,f749]) ).
fof(f602,plain,
( spl0_87
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1915,plain,
( c2_1(a590)
| ~ c1_1(a590)
| ~ spl0_87
| ~ spl0_185 ),
inference(resolution,[],[f603,f1416]) ).
fof(f603,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1739,plain,
( ~ spl0_137
| spl0_50
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1737,f428,f293,f419,f879]) ).
fof(f879,plain,
( spl0_137
<=> c0_1(a567) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f419,plain,
( spl0_50
<=> c2_1(a567) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f293,plain,
( spl0_21
<=> ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f428,plain,
( spl0_52
<=> c1_1(a567) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1737,plain,
( c2_1(a567)
| ~ c0_1(a567)
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f430,f294]) ).
fof(f294,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f430,plain,
( c1_1(a567)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f1691,plain,
( ~ spl0_136
| ~ spl0_140
| ~ spl0_58
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1676,f1240,f457,f897,f874]) ).
fof(f874,plain,
( spl0_136
<=> c1_1(a563) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1676,plain,
( ~ c3_1(a563)
| ~ c1_1(a563)
| ~ spl0_58
| ~ spl0_178 ),
inference(resolution,[],[f458,f1242]) ).
fof(f1242,plain,
( c2_1(a563)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1669,plain,
( ~ spl0_98
| spl0_150
| ~ spl0_47
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1660,f1044,f406,f951,f659]) ).
fof(f659,plain,
( spl0_98
<=> c0_1(a564) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f951,plain,
( spl0_150
<=> c1_1(a564) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1044,plain,
( spl0_163
<=> c2_1(a564) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1660,plain,
( c1_1(a564)
| ~ c0_1(a564)
| ~ spl0_47
| ~ spl0_163 ),
inference(resolution,[],[f407,f1046]) ).
fof(f1046,plain,
( c2_1(a564)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1649,plain,
( spl0_153
| spl0_8
| ~ spl0_24
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1638,f749,f305,f241,f977]) ).
fof(f305,plain,
( spl0_24
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1638,plain,
( c0_1(a590)
| c2_1(a590)
| ~ spl0_24
| ~ spl0_113 ),
inference(resolution,[],[f306,f751]) ).
fof(f751,plain,
( c1_1(a590)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f306,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f1648,plain,
( spl0_81
| spl0_142
| ~ spl0_24
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1639,f1139,f305,f911,f573]) ).
fof(f911,plain,
( spl0_142
<=> c2_1(a584) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1639,plain,
( c2_1(a584)
| c0_1(a584)
| ~ spl0_24
| ~ spl0_172 ),
inference(resolution,[],[f306,f1141]) ).
fof(f1141,plain,
( c1_1(a584)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1646,plain,
( spl0_177
| spl0_106
| ~ spl0_24
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1642,f680,f305,f706,f1221]) ).
fof(f1221,plain,
( spl0_177
<=> c0_1(a570) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f706,plain,
( spl0_106
<=> c2_1(a570) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f680,plain,
( spl0_102
<=> c1_1(a570) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1642,plain,
( c2_1(a570)
| c0_1(a570)
| ~ spl0_24
| ~ spl0_102 ),
inference(resolution,[],[f306,f682]) ).
fof(f682,plain,
( c1_1(a570)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f1630,plain,
( spl0_119
| ~ spl0_162
| ~ spl0_21
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1580,f793,f293,f1036,f783]) ).
fof(f783,plain,
( spl0_119
<=> c2_1(a553) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1580,plain,
( ~ c0_1(a553)
| c2_1(a553)
| ~ spl0_21
| ~ spl0_121 ),
inference(resolution,[],[f294,f795]) ).
fof(f795,plain,
( c1_1(a553)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1629,plain,
( spl0_119
| ~ spl0_162
| ~ spl0_30
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1067,f648,f333,f1036,f783]) ).
fof(f1067,plain,
( ~ c0_1(a553)
| c2_1(a553)
| ~ spl0_30
| ~ spl0_96 ),
inference(resolution,[],[f334,f650]) ).
fof(f1607,plain,
( ~ spl0_98
| spl0_150
| ~ spl0_31
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1596,f736,f336,f951,f659]) ).
fof(f336,plain,
( spl0_31
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f736,plain,
( spl0_111
<=> c3_1(a564) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1596,plain,
( c1_1(a564)
| ~ c0_1(a564)
| ~ spl0_31
| ~ spl0_111 ),
inference(resolution,[],[f337,f738]) ).
fof(f738,plain,
( c3_1(a564)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f337,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1570,plain,
( spl0_173
| spl0_145
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1559,f309,f246,f925,f1153]) ).
fof(f1153,plain,
( spl0_173
<=> c3_1(a548) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f925,plain,
( spl0_145
<=> c0_1(a548) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f246,plain,
( spl0_9
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f309,plain,
( spl0_25
<=> c1_1(a548) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1559,plain,
( c0_1(a548)
| c3_1(a548)
| ~ spl0_9
| ~ spl0_25 ),
inference(resolution,[],[f247,f311]) ).
fof(f311,plain,
( c1_1(a548)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f247,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| c3_1(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f1566,plain,
( spl0_135
| spl0_99
| ~ spl0_9
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1560,f1197,f246,f664,f868]) ).
fof(f868,plain,
( spl0_135
<=> c3_1(a547) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f664,plain,
( spl0_99
<=> c0_1(a547) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1197,plain,
( spl0_175
<=> c1_1(a547) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1560,plain,
( c0_1(a547)
| c3_1(a547)
| ~ spl0_9
| ~ spl0_175 ),
inference(resolution,[],[f247,f1199]) ).
fof(f1199,plain,
( c1_1(a547)
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1565,plain,
( spl0_6
| spl0_181
| ~ spl0_9
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1550,f685,f246,f1313,f232]) ).
fof(f232,plain,
( spl0_6
<=> c3_1(a604) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1313,plain,
( spl0_181
<=> c0_1(a604) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f685,plain,
( spl0_103
<=> c1_1(a604) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1550,plain,
( c0_1(a604)
| c3_1(a604)
| ~ spl0_9
| ~ spl0_103 ),
inference(resolution,[],[f247,f687]) ).
fof(f687,plain,
( c1_1(a604)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f1541,plain,
( spl0_16
| spl0_92
| ~ spl0_29
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1540,f755,f329,f629,f272]) ).
fof(f272,plain,
( spl0_16
<=> c2_1(a539) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f629,plain,
( spl0_92
<=> c3_1(a539) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f329,plain,
( spl0_29
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f755,plain,
( spl0_114
<=> c0_1(a539) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1540,plain,
( c3_1(a539)
| c2_1(a539)
| ~ spl0_29
| ~ spl0_114 ),
inference(resolution,[],[f757,f330]) ).
fof(f330,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f757,plain,
( c0_1(a539)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f1537,plain,
( spl0_92
| spl0_16
| ~ spl0_69
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1406,f1117,f510,f272,f629]) ).
fof(f1117,plain,
( spl0_171
<=> c1_1(a539) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1406,plain,
( c2_1(a539)
| c3_1(a539)
| ~ spl0_69
| ~ spl0_171 ),
inference(resolution,[],[f511,f1119]) ).
fof(f1119,plain,
( c1_1(a539)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1536,plain,
( ~ spl0_137
| ~ spl0_52
| ~ spl0_11
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1533,f1434,f253,f428,f879]) ).
fof(f1434,plain,
( spl0_187
<=> c3_1(a567) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1533,plain,
( ~ c1_1(a567)
| ~ c0_1(a567)
| ~ spl0_11
| ~ spl0_187 ),
inference(resolution,[],[f1436,f254]) ).
fof(f1436,plain,
( c3_1(a567)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1485,plain,
( ~ spl0_98
| ~ spl0_111
| ~ spl0_12
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1475,f1044,f256,f736,f659]) ).
fof(f1475,plain,
( ~ c3_1(a564)
| ~ c0_1(a564)
| ~ spl0_12
| ~ spl0_163 ),
inference(resolution,[],[f257,f1046]) ).
fof(f1484,plain,
( ~ spl0_131
| ~ spl0_118
| ~ spl0_12
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1470,f634,f256,f778,f847]) ).
fof(f847,plain,
( spl0_131
<=> c3_1(a552) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f778,plain,
( spl0_118
<=> c0_1(a552) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f634,plain,
( spl0_93
<=> c2_1(a552) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1470,plain,
( ~ c0_1(a552)
| ~ c3_1(a552)
| ~ spl0_12
| ~ spl0_93 ),
inference(resolution,[],[f257,f636]) ).
fof(f636,plain,
( c2_1(a552)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f1483,plain,
( ~ spl0_184
| ~ spl0_66
| ~ spl0_12
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1472,f916,f256,f494,f1375]) ).
fof(f1375,plain,
( spl0_184
<=> c3_1(a615) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f494,plain,
( spl0_66
<=> c0_1(a615) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f916,plain,
( spl0_143
<=> c2_1(a615) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1472,plain,
( ~ c0_1(a615)
| ~ c3_1(a615)
| ~ spl0_12
| ~ spl0_143 ),
inference(resolution,[],[f257,f918]) ).
fof(f918,plain,
( c2_1(a615)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1437,plain,
( spl0_50
| spl0_187
| ~ spl0_52
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1432,f510,f428,f1434,f419]) ).
fof(f1432,plain,
( c3_1(a567)
| c2_1(a567)
| ~ spl0_52
| ~ spl0_69 ),
inference(resolution,[],[f430,f511]) ).
fof(f1418,plain,
( spl0_106
| spl0_68
| ~ spl0_69
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1399,f680,f510,f505,f706]) ).
fof(f505,plain,
( spl0_68
<=> c3_1(a570) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1399,plain,
( c3_1(a570)
| c2_1(a570)
| ~ spl0_69
| ~ spl0_102 ),
inference(resolution,[],[f511,f682]) ).
fof(f1417,plain,
( spl0_153
| spl0_185
| ~ spl0_69
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1394,f749,f510,f1414,f977]) ).
fof(f1394,plain,
( c3_1(a590)
| c2_1(a590)
| ~ spl0_69
| ~ spl0_113 ),
inference(resolution,[],[f511,f751]) ).
fof(f1378,plain,
( spl0_184
| ~ spl0_66
| ~ spl0_15
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1372,f916,f268,f494,f1375]) ).
fof(f1372,plain,
( ~ c0_1(a615)
| c3_1(a615)
| ~ spl0_15
| ~ spl0_143 ),
inference(resolution,[],[f918,f269]) ).
fof(f1370,plain,
( spl0_148
| ~ spl0_1
| ~ spl0_15
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1368,f1346,f268,f210,f941]) ).
fof(f1368,plain,
( ~ c0_1(a544)
| c3_1(a544)
| ~ spl0_15
| ~ spl0_182 ),
inference(resolution,[],[f1348,f269]) ).
fof(f1349,plain,
( spl0_182
| spl0_148
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1344,f329,f210,f941,f1346]) ).
fof(f1344,plain,
( c3_1(a544)
| c2_1(a544)
| ~ spl0_1
| ~ spl0_29 ),
inference(resolution,[],[f212,f330]) ).
fof(f212,plain,
( c0_1(a544)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f1342,plain,
( spl0_54
| spl0_133
| ~ spl0_61
| spl0_167 ),
inference(avatar_split_clause,[],[f1333,f1084,f470,f857,f438]) ).
fof(f470,plain,
( spl0_61
<=> ! [X0] :
( c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1333,plain,
( c0_1(a594)
| c1_1(a594)
| ~ spl0_61
| spl0_167 ),
inference(resolution,[],[f471,f1086]) ).
fof(f1086,plain,
( ~ c3_1(a594)
| spl0_167 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f471,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f1341,plain,
( spl0_175
| spl0_99
| ~ spl0_61
| spl0_135 ),
inference(avatar_split_clause,[],[f1337,f868,f470,f664,f1197]) ).
fof(f1337,plain,
( c0_1(a547)
| c1_1(a547)
| ~ spl0_61
| spl0_135 ),
inference(resolution,[],[f471,f870]) ).
fof(f870,plain,
( ~ c3_1(a547)
| spl0_135 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1316,plain,
( spl0_6
| ~ spl0_181
| ~ spl0_15
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1298,f729,f268,f1313,f232]) ).
fof(f729,plain,
( spl0_110
<=> c2_1(a604) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1298,plain,
( ~ c0_1(a604)
| c3_1(a604)
| ~ spl0_15
| ~ spl0_110 ),
inference(resolution,[],[f269,f731]) ).
fof(f731,plain,
( c2_1(a604)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f1277,plain,
( spl0_174
| ~ spl0_104
| ~ spl0_34
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1269,f369,f348,f690,f1170]) ).
fof(f1170,plain,
( spl0_174
<=> c0_1(a582) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f690,plain,
( spl0_104
<=> c3_1(a582) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f369,plain,
( spl0_39
<=> c2_1(a582) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1269,plain,
( ~ c3_1(a582)
| c0_1(a582)
| ~ spl0_34
| ~ spl0_39 ),
inference(resolution,[],[f349,f371]) ).
fof(f371,plain,
( c2_1(a582)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f1254,plain,
( spl0_112
| spl0_115
| ~ spl0_29
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f1252,f1105,f329,f760,f742]) ).
fof(f1252,plain,
( c2_1(a538)
| c3_1(a538)
| ~ spl0_29
| ~ spl0_169 ),
inference(resolution,[],[f330,f1107]) ).
fof(f1246,plain,
( ~ spl0_72
| ~ spl0_136
| ~ spl0_11
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1245,f897,f253,f874,f524]) ).
fof(f1245,plain,
( ~ c1_1(a563)
| ~ c0_1(a563)
| ~ spl0_11
| ~ spl0_140 ),
inference(resolution,[],[f899,f254]) ).
fof(f1243,plain,
( spl0_178
| ~ spl0_72
| ~ spl0_21
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1238,f874,f293,f524,f1240]) ).
fof(f1238,plain,
( ~ c0_1(a563)
| c2_1(a563)
| ~ spl0_21
| ~ spl0_136 ),
inference(resolution,[],[f876,f294]) ).
fof(f876,plain,
( c1_1(a563)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1224,plain,
( ~ spl0_177
| spl0_106
| ~ spl0_21
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1219,f680,f293,f706,f1221]) ).
fof(f1219,plain,
( c2_1(a570)
| ~ c0_1(a570)
| ~ spl0_21
| ~ spl0_102 ),
inference(resolution,[],[f682,f294]) ).
fof(f1218,plain,
( spl0_89
| spl0_112
| ~ spl0_82
| spl0_115 ),
inference(avatar_split_clause,[],[f1211,f760,f578,f742,f611]) ).
fof(f578,plain,
( spl0_82
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1211,plain,
( c3_1(a538)
| c1_1(a538)
| ~ spl0_82
| spl0_115 ),
inference(resolution,[],[f579,f762]) ).
fof(f579,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1201,plain,
( spl0_61
| ~ spl0_74
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1194,f568,f533,f470]) ).
fof(f533,plain,
( spl0_74
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1194,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_74
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f1187]) ).
fof(f1187,plain,
( ! [X0] :
( c1_1(X0)
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl0_74
| ~ spl0_80 ),
inference(resolution,[],[f569,f534]) ).
fof(f534,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f1173,plain,
( ~ spl0_174
| ~ spl0_104
| ~ spl0_12
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1168,f369,f256,f690,f1170]) ).
fof(f1168,plain,
( ~ c3_1(a582)
| ~ c0_1(a582)
| ~ spl0_12
| ~ spl0_39 ),
inference(resolution,[],[f371,f257]) ).
fof(f1156,plain,
( ~ spl0_25
| ~ spl0_173
| ~ spl0_58
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1148,f767,f457,f1153,f309]) ).
fof(f767,plain,
( spl0_116
<=> c2_1(a548) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1148,plain,
( ~ c3_1(a548)
| ~ c1_1(a548)
| ~ spl0_58
| ~ spl0_116 ),
inference(resolution,[],[f769,f458]) ).
fof(f769,plain,
( c2_1(a548)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f1142,plain,
( spl0_81
| spl0_172
| ~ spl0_74
| spl0_142 ),
inference(avatar_split_clause,[],[f1127,f911,f533,f1139,f573]) ).
fof(f1127,plain,
( c1_1(a584)
| c0_1(a584)
| ~ spl0_74
| spl0_142 ),
inference(resolution,[],[f534,f913]) ).
fof(f913,plain,
( ~ c2_1(a584)
| spl0_142 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f1136,plain,
( spl0_18
| spl0_123
| ~ spl0_74
| spl0_100 ),
inference(avatar_split_clause,[],[f1132,f669,f533,f806,f281]) ).
fof(f281,plain,
( spl0_18
<=> c1_1(a549) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f806,plain,
( spl0_123
<=> c0_1(a549) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f669,plain,
( spl0_100
<=> c2_1(a549) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1132,plain,
( c0_1(a549)
| c1_1(a549)
| ~ spl0_74
| spl0_100 ),
inference(resolution,[],[f534,f671]) ).
fof(f671,plain,
( ~ c2_1(a549)
| spl0_100 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f1135,plain,
( spl0_89
| spl0_169
| ~ spl0_74
| spl0_115 ),
inference(avatar_split_clause,[],[f1133,f760,f533,f1105,f611]) ).
fof(f1133,plain,
( c0_1(a538)
| c1_1(a538)
| ~ spl0_74
| spl0_115 ),
inference(resolution,[],[f534,f762]) ).
fof(f1122,plain,
( spl0_16
| ~ spl0_114
| ~ spl0_21
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1121,f1117,f293,f755,f272]) ).
fof(f1121,plain,
( ~ c0_1(a539)
| c2_1(a539)
| ~ spl0_21
| ~ spl0_171 ),
inference(resolution,[],[f1119,f294]) ).
fof(f1120,plain,
( spl0_171
| spl0_16
| ~ spl0_20
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1115,f755,f290,f272,f1117]) ).
fof(f290,plain,
( spl0_20
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1115,plain,
( c2_1(a539)
| c1_1(a539)
| ~ spl0_20
| ~ spl0_114 ),
inference(resolution,[],[f757,f291]) ).
fof(f291,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f1114,plain,
( spl0_4
| spl0_152
| ~ spl0_61
| spl0_161 ),
inference(avatar_split_clause,[],[f1102,f1025,f470,f969,f223]) ).
fof(f223,plain,
( spl0_4
<=> c0_1(a573) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f969,plain,
( spl0_152
<=> c1_1(a573) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1025,plain,
( spl0_161
<=> c3_1(a573) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1102,plain,
( c1_1(a573)
| c0_1(a573)
| ~ spl0_61
| spl0_161 ),
inference(resolution,[],[f471,f1027]) ).
fof(f1027,plain,
( ~ c3_1(a573)
| spl0_161 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1097,plain,
( ~ spl0_168
| ~ spl0_63
| ~ spl0_58
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1092,f812,f457,f479,f1094]) ).
fof(f812,plain,
( spl0_124
<=> c2_1(a566) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1092,plain,
( ~ c3_1(a566)
| ~ c1_1(a566)
| ~ spl0_58
| ~ spl0_124 ),
inference(resolution,[],[f458,f814]) ).
fof(f814,plain,
( c2_1(a566)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1088,plain,
( ~ spl0_63
| spl0_158
| ~ spl0_34
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1082,f812,f348,f1008,f479]) ).
fof(f1082,plain,
( c0_1(a566)
| ~ c3_1(a566)
| ~ spl0_34
| ~ spl0_124 ),
inference(resolution,[],[f349,f814]) ).
fof(f1071,plain,
( ~ spl0_98
| spl0_163
| ~ spl0_30
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1066,f736,f333,f1044,f659]) ).
fof(f1066,plain,
( c2_1(a564)
| ~ c0_1(a564)
| ~ spl0_30
| ~ spl0_111 ),
inference(resolution,[],[f334,f738]) ).
fof(f1054,plain,
( spl0_119
| spl0_162
| ~ spl0_24
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1053,f793,f305,f1036,f783]) ).
fof(f1053,plain,
( c0_1(a553)
| c2_1(a553)
| ~ spl0_24
| ~ spl0_121 ),
inference(resolution,[],[f306,f795]) ).
fof(f1039,plain,
( ~ spl0_162
| ~ spl0_121
| ~ spl0_11
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1031,f648,f253,f793,f1036]) ).
fof(f1031,plain,
( ~ c1_1(a553)
| ~ c0_1(a553)
| ~ spl0_11
| ~ spl0_96 ),
inference(resolution,[],[f254,f650]) ).
fof(f1028,plain,
( ~ spl0_3
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f114,f1025,f219]) ).
fof(f219,plain,
( spl0_3
<=> hskp18 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f114,axiom,
( ~ c3_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f1011,plain,
( ~ spl0_158
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f120,f340,f1008]) ).
fof(f340,plain,
( spl0_32
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f120,axiom,
( ~ hskp14
| ~ c0_1(a566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f1005,plain,
( spl0_5
| spl0_40
| spl0_36 ),
inference(avatar_split_clause,[],[f44,f355,f374,f228]) ).
fof(f228,plain,
( spl0_5
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f374,plain,
( spl0_40
<=> hskp22 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f355,plain,
( spl0_36
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f44,axiom,
( hskp7
| hskp22
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f1004,plain,
( spl0_51
| spl0_44
| spl0_30
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f162,f249,f333,f392,f423]) ).
fof(f423,plain,
( spl0_51
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f392,plain,
( spl0_44
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f249,plain,
( spl0_10
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f162,axiom,
! [X0] :
( ~ ndr1_0
| c2_1(X0)
| hskp0
| ~ c3_1(X0)
| hskp15
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f1003,plain,
( spl0_2
| spl0_22
| spl0_32 ),
inference(avatar_split_clause,[],[f38,f340,f297,f214]) ).
fof(f214,plain,
( spl0_2
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f297,plain,
( spl0_22
<=> hskp10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f38,axiom,
( hskp14
| hskp10
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f1001,plain,
( ~ spl0_157
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f142,f529,f998]) ).
fof(f529,plain,
( spl0_73
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f142,axiom,
( ~ hskp1
| ~ c3_1(a537) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f996,plain,
( ~ spl0_36
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f249,f355]) ).
fof(f25,axiom,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f995,plain,
( ~ spl0_44
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f143,f992,f392]) ).
fof(f143,axiom,
( ~ c3_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f982,plain,
( spl0_38
| spl0_15
| ~ spl0_10
| spl0_32 ),
inference(avatar_split_clause,[],[f167,f340,f249,f268,f365]) ).
fof(f365,plain,
( spl0_38
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f167,axiom,
! [X0] :
( hskp14
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0)
| hskp21
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f981,plain,
( ~ spl0_10
| spl0_17
| spl0_47
| spl0_87 ),
inference(avatar_split_clause,[],[f195,f602,f406,f276,f249]) ).
fof(f276,plain,
( spl0_17
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f195,axiom,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X1)
| c2_1(X0)
| hskp3
| ~ ndr1_0
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f980,plain,
( ~ spl0_7
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f101,f977,f237]) ).
fof(f237,plain,
( spl0_7
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f101,axiom,
( ~ c2_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f975,plain,
( ~ spl0_10
| spl0_12
| spl0_69
| spl0_32 ),
inference(avatar_split_clause,[],[f197,f340,f510,f256,f249]) ).
fof(f197,axiom,
! [X0,X1] :
( hskp14
| ~ c1_1(X1)
| ~ c2_1(X0)
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f972,plain,
( ~ spl0_152
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f113,f219,f969]) ).
fof(f113,axiom,
( ~ hskp18
| ~ c1_1(a573) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f967,plain,
( spl0_151
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f95,f392,f964]) ).
fof(f95,axiom,
( ~ hskp0
| c2_1(a536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f958,plain,
( spl0_33
| spl0_60
| spl0_32 ),
inference(avatar_split_clause,[],[f41,f340,f465,f344]) ).
fof(f344,plain,
( spl0_33
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f465,plain,
( spl0_60
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f41,axiom,
( hskp14
| hskp6
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f957,plain,
( spl0_38
| spl0_15
| spl0_75
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f164,f249,f538,f268,f365]) ).
fof(f538,plain,
( spl0_75
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f164,axiom,
! [X0] :
( ~ ndr1_0
| hskp12
| ~ c2_1(X0)
| hskp21
| ~ c0_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f954,plain,
( ~ spl0_150
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f122,f538,f951]) ).
fof(f122,axiom,
( ~ hskp12
| ~ c1_1(a564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f944,plain,
( ~ spl0_2
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f133,f941,f214]) ).
fof(f133,axiom,
( ~ c3_1(a544)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f933,plain,
( ~ spl0_146
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f131,f465,f930]) ).
fof(f131,axiom,
( ~ hskp6
| ~ c0_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f928,plain,
( ~ spl0_23
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f128,f925,f301]) ).
fof(f301,plain,
( spl0_23
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f128,axiom,
( ~ c0_1(a548)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f919,plain,
( ~ spl0_45
| spl0_143 ),
inference(avatar_split_clause,[],[f61,f916,f397]) ).
fof(f397,plain,
( spl0_45
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f61,axiom,
( c2_1(a615)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f914,plain,
( ~ spl0_40
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f106,f911,f374]) ).
fof(f106,axiom,
( ~ c2_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f903,plain,
( ~ spl0_10
| spl0_11
| spl0_12
| spl0_32 ),
inference(avatar_split_clause,[],[f200,f340,f256,f253,f249]) ).
fof(f200,axiom,
! [X0,X1] :
( hskp14
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f901,plain,
( spl0_34
| spl0_80
| ~ spl0_10
| spl0_30 ),
inference(avatar_split_clause,[],[f205,f333,f249,f568,f348]) ).
fof(f205,axiom,
! [X2,X0,X1] :
( c2_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
fof(f900,plain,
( ~ spl0_46
| spl0_140 ),
inference(avatar_split_clause,[],[f50,f897,f402]) ).
fof(f402,plain,
( spl0_46
<=> hskp31 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f50,axiom,
( c3_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f888,plain,
( spl0_138
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f51,f452,f885]) ).
fof(f452,plain,
( spl0_57
<=> hskp30 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f51,axiom,
( ~ hskp30
| c1_1(a562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f882,plain,
( ~ spl0_51
| spl0_137 ),
inference(avatar_split_clause,[],[f73,f879,f423]) ).
fof(f73,axiom,
( c0_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f877,plain,
( spl0_136
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f49,f402,f874]) ).
fof(f49,axiom,
( ~ hskp31
| c1_1(a563) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f871,plain,
( ~ spl0_135
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f130,f355,f868]) ).
fof(f130,axiom,
( ~ hskp7
| ~ c3_1(a547) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f860,plain,
( ~ spl0_133
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f98,f260,f857]) ).
fof(f260,plain,
( spl0_13
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f98,axiom,
( ~ hskp25
| ~ c0_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f855,plain,
( ~ spl0_57
| spl0_132 ),
inference(avatar_split_clause,[],[f53,f852,f452]) ).
fof(f53,axiom,
( c3_1(a562)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f850,plain,
( ~ spl0_79
| spl0_131 ),
inference(avatar_split_clause,[],[f56,f847,f564]) ).
fof(f564,plain,
( spl0_79
<=> hskp29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f56,axiom,
( c3_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f845,plain,
( spl0_130
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f93,f529,f842]) ).
fof(f93,axiom,
( ~ hskp1
| c2_1(a537) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f836,plain,
( ~ spl0_10
| spl0_95
| spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f151,f246,f264,f644,f249]) ).
fof(f644,plain,
( spl0_95
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f264,plain,
( spl0_14
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f151,axiom,
! [X0] :
( c3_1(X0)
| hskp9
| hskp11
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f820,plain,
( ~ spl0_73
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f141,f817,f529]) ).
fof(f141,axiom,
( ~ c1_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f815,plain,
( ~ spl0_32
| spl0_124 ),
inference(avatar_split_clause,[],[f75,f812,f340]) ).
fof(f75,axiom,
( c2_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f809,plain,
( ~ spl0_14
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f125,f806,f264]) ).
fof(f125,axiom,
( ~ c0_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f804,plain,
( spl0_27
| spl0_22
| spl0_46 ),
inference(avatar_split_clause,[],[f35,f402,f297,f319]) ).
fof(f319,plain,
( spl0_27
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f35,axiom,
( hskp31
| hskp10
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f803,plain,
( spl0_69
| ~ spl0_10
| spl0_17
| spl0_60 ),
inference(avatar_split_clause,[],[f157,f465,f276,f249,f510]) ).
fof(f157,axiom,
! [X0] :
( hskp6
| hskp3
| ~ ndr1_0
| c3_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f796,plain,
( ~ spl0_95
| spl0_121 ),
inference(avatar_split_clause,[],[f81,f793,f644]) ).
fof(f81,axiom,
( c1_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f786,plain,
( ~ spl0_119
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f123,f644,f783]) ).
fof(f123,axiom,
( ~ hskp11
| ~ c2_1(a553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f781,plain,
( spl0_118
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f54,f564,f778]) ).
fof(f54,axiom,
( ~ hskp29
| c0_1(a552) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f775,plain,
( ~ spl0_10
| spl0_88
| spl0_117
| spl0_34 ),
inference(avatar_split_clause,[],[f203,f348,f773,f606,f249]) ).
fof(f203,axiom,
! [X2,X0,X1] :
( ~ c2_1(X0)
| c0_1(X2)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f770,plain,
( spl0_116
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f86,f301,f767]) ).
fof(f86,axiom,
( ~ hskp8
| c2_1(a548) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f764,plain,
( spl0_57
| spl0_44
| ~ spl0_10
| spl0_109 ),
inference(avatar_split_clause,[],[f160,f725,f249,f392,f452]) ).
fof(f160,axiom,
! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp0
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f763,plain,
( ~ spl0_115
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f139,f443,f760]) ).
fof(f443,plain,
( spl0_55
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f139,axiom,
( ~ hskp2
| ~ c2_1(a538) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f758,plain,
( spl0_114
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f92,f276,f755]) ).
fof(f92,axiom,
( ~ hskp3
| c0_1(a539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f752,plain,
( ~ spl0_7
| spl0_113 ),
inference(avatar_split_clause,[],[f65,f749,f237]) ).
fof(f65,axiom,
( c1_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f747,plain,
( spl0_75
| spl0_95
| ~ spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f152,f290,f249,f644,f538]) ).
fof(f152,axiom,
! [X0] :
( c2_1(X0)
| ~ ndr1_0
| hskp11
| ~ c0_1(X0)
| c1_1(X0)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f746,plain,
( spl0_21
| ~ spl0_10
| spl0_61
| spl0_101 ),
inference(avatar_split_clause,[],[f201,f676,f470,f249,f293]) ).
fof(f201,axiom,
! [X2,X0,X1] :
( c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X0)
| c1_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
fof(f745,plain,
( ~ spl0_112
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f140,f443,f742]) ).
fof(f140,axiom,
( ~ hskp2
| ~ c3_1(a538) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f739,plain,
( ~ spl0_75
| spl0_111 ),
inference(avatar_split_clause,[],[f80,f736,f538]) ).
fof(f80,axiom,
( c3_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f734,plain,
( spl0_75
| spl0_32
| spl0_46 ),
inference(avatar_split_clause,[],[f34,f402,f340,f538]) ).
fof(f34,axiom,
( hskp31
| hskp14
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f733,plain,
( spl0_40
| spl0_13
| spl0_33 ),
inference(avatar_split_clause,[],[f42,f344,f260,f374]) ).
fof(f42,axiom,
( hskp13
| hskp25
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f732,plain,
( ~ spl0_5
| spl0_110 ),
inference(avatar_split_clause,[],[f63,f729,f228]) ).
fof(f63,axiom,
( c2_1(a604)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f727,plain,
( spl0_109
| ~ spl0_10
| spl0_21
| spl0_60 ),
inference(avatar_split_clause,[],[f190,f465,f293,f249,f725]) ).
fof(f190,axiom,
! [X0,X1] :
( hskp6
| ~ c0_1(X0)
| ~ ndr1_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f723,plain,
( spl0_108
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f84,f297,f720]) ).
fof(f84,axiom,
( ~ hskp10
| c3_1(a551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f718,plain,
( ~ spl0_10
| spl0_55
| spl0_74
| spl0_84 ),
inference(avatar_split_clause,[],[f181,f587,f533,f443,f249]) ).
fof(f181,axiom,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| hskp2
| c2_1(X1)
| ~ ndr1_0
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f716,plain,
( ~ spl0_2
| spl0_107 ),
inference(avatar_split_clause,[],[f90,f713,f214]) ).
fof(f90,axiom,
( c1_1(a544)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f709,plain,
( ~ spl0_27
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f117,f706,f319]) ).
fof(f117,axiom,
( ~ c2_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f704,plain,
( ~ spl0_75
| spl0_10 ),
inference(avatar_split_clause,[],[f20,f249,f538]) ).
fof(f20,axiom,
( ndr1_0
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f701,plain,
( ~ spl0_33
| spl0_105 ),
inference(avatar_split_clause,[],[f77,f698,f344]) ).
fof(f77,axiom,
( c0_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f693,plain,
( ~ spl0_38
| spl0_104 ),
inference(avatar_split_clause,[],[f68,f690,f365]) ).
fof(f68,axiom,
( c3_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f688,plain,
( spl0_103
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f62,f228,f685]) ).
fof(f62,axiom,
( ~ hskp26
| c1_1(a604) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f683,plain,
( spl0_102
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f72,f319,f680]) ).
fof(f72,axiom,
( ~ hskp16
| c1_1(a570) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f672,plain,
( ~ spl0_100
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f127,f264,f669]) ).
fof(f127,axiom,
( ~ hskp9
| ~ c2_1(a549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f667,plain,
( ~ spl0_36
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f129,f664,f355]) ).
fof(f129,axiom,
( ~ c0_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f662,plain,
( spl0_98
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f79,f538,f659]) ).
fof(f79,axiom,
( ~ hskp12
| c0_1(a564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f652,plain,
( spl0_2
| ~ spl0_10
| spl0_55
| spl0_88 ),
inference(avatar_split_clause,[],[f148,f606,f443,f249,f214]) ).
fof(f148,axiom,
! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| hskp2
| ~ ndr1_0
| hskp5
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f651,plain,
( ~ spl0_95
| spl0_96 ),
inference(avatar_split_clause,[],[f82,f648,f644]) ).
fof(f82,axiom,
( c3_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f637,plain,
( ~ spl0_79
| spl0_93 ),
inference(avatar_split_clause,[],[f55,f634,f564]) ).
fof(f55,axiom,
( c2_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f632,plain,
( ~ spl0_17
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f137,f629,f276]) ).
fof(f137,axiom,
( ~ c3_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f614,plain,
( ~ spl0_89
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f138,f443,f611]) ).
fof(f138,axiom,
( ~ hskp2
| ~ c1_1(a538) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f608,plain,
( spl0_44
| ~ spl0_10
| spl0_74
| spl0_88 ),
inference(avatar_split_clause,[],[f175,f606,f533,f249,f392]) ).
fof(f175,axiom,
! [X0,X1] :
( c1_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| c0_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f604,plain,
( spl0_60
| spl0_17
| ~ spl0_10
| spl0_87 ),
inference(avatar_split_clause,[],[f163,f602,f249,f276,f465]) ).
fof(f163,axiom,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| hskp3
| c2_1(X0)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f595,plain,
( ~ spl0_85
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f124,f297,f592]) ).
fof(f124,axiom,
( ~ hskp10
| ~ c0_1(a551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f590,plain,
( ~ spl0_10
| spl0_35
| spl0_21
| spl0_11 ),
inference(avatar_split_clause,[],[f204,f253,f293,f352,f249]) ).
fof(f204,axiom,
! [X2,X0,X1] :
( ~ c1_1(X0)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ c3_1(X0)
| ~ c0_1(X0)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
fof(f589,plain,
( ~ spl0_10
| spl0_34
| spl0_84
| spl0_75 ),
inference(avatar_split_clause,[],[f198,f538,f587,f348,f249]) ).
fof(f198,axiom,
! [X0,X1] :
( hskp12
| ~ c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f580,plain,
( spl0_27
| ~ spl0_10
| spl0_82
| spl0_17 ),
inference(avatar_split_clause,[],[f147,f276,f578,f249,f319]) ).
fof(f147,axiom,
! [X0] :
( hskp3
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f576,plain,
( ~ spl0_40
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f105,f573,f374]) ).
fof(f105,axiom,
( ~ c0_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f571,plain,
( spl0_29
| spl0_40
| ~ spl0_10
| spl0_38 ),
inference(avatar_split_clause,[],[f156,f365,f249,f374,f329]) ).
fof(f156,axiom,
! [X0] :
( hskp21
| ~ ndr1_0
| hskp22
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f570,plain,
( spl0_38
| spl0_79
| ~ spl0_10
| spl0_80 ),
inference(avatar_split_clause,[],[f155,f568,f249,f564,f365]) ).
fof(f155,axiom,
! [X0] :
( c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| hskp29
| hskp21
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f562,plain,
( ~ spl0_10
| spl0_32
| spl0_22
| spl0_12 ),
inference(avatar_split_clause,[],[f173,f256,f297,f340,f249]) ).
fof(f173,axiom,
! [X0] :
( ~ c3_1(X0)
| hskp10
| ~ c2_1(X0)
| ~ c0_1(X0)
| hskp14
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f555,plain,
( spl0_3
| spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f43,f276,f237,f219]) ).
fof(f43,axiom,
( hskp3
| hskp24
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f553,plain,
( spl0_77
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f88,f465,f550]) ).
fof(f88,axiom,
( ~ hskp6
| c3_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f541,plain,
( spl0_71
| spl0_75
| spl0_36 ),
inference(avatar_split_clause,[],[f39,f355,f538,f519]) ).
fof(f519,plain,
( spl0_71
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f39,axiom,
( hskp7
| hskp12
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f536,plain,
( spl0_13
| spl0_2
| spl0_45 ),
inference(avatar_split_clause,[],[f37,f397,f214,f260]) ).
fof(f37,axiom,
( hskp27
| hskp5
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f535,plain,
( spl0_73
| spl0_74
| spl0_31
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f177,f249,f336,f533,f529]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ndr1_0
| c1_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| hskp1
| c0_1(X1)
| ~ c0_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f527,plain,
( spl0_72
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f48,f402,f524]) ).
fof(f48,axiom,
( ~ hskp31
| c0_1(a563) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f522,plain,
( ~ spl0_71
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f249,f519]) ).
fof(f28,axiom,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f512,plain,
( ~ spl0_10
| spl0_7
| spl0_69
| spl0_11 ),
inference(avatar_split_clause,[],[f196,f253,f510,f237,f249]) ).
fof(f196,axiom,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| c3_1(X1)
| hskp24
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f508,plain,
( ~ spl0_27
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f118,f505,f319]) ).
fof(f118,axiom,
( ~ c3_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f503,plain,
( spl0_7
| spl0_33
| spl0_60 ),
inference(avatar_split_clause,[],[f40,f465,f344,f237]) ).
fof(f40,axiom,
( hskp6
| hskp13
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f497,plain,
( spl0_66
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f60,f397,f494]) ).
fof(f60,axiom,
( ~ hskp27
| c0_1(a615) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f482,plain,
( spl0_63
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f76,f340,f479]) ).
fof(f76,axiom,
( ~ hskp14
| c3_1(a566) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f468,plain,
( ~ spl0_59
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f132,f465,f461]) ).
fof(f132,axiom,
( ~ hskp6
| ~ c1_1(a546) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f459,plain,
( spl0_34
| ~ spl0_10
| spl0_24
| spl0_58 ),
inference(avatar_split_clause,[],[f206,f457,f305,f249,f348]) ).
fof(f206,axiom,
! [X2,X0,X1] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
fof(f455,plain,
( spl0_56
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f52,f452,f448]) ).
fof(f52,axiom,
( ~ hskp30
| c2_1(a562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f446,plain,
( spl0_14
| spl0_55
| spl0_7 ),
inference(avatar_split_clause,[],[f46,f237,f443,f264]) ).
fof(f46,axiom,
( hskp24
| hskp2
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f441,plain,
( ~ spl0_54
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f99,f260,f438]) ).
fof(f99,axiom,
( ~ hskp25
| ~ c1_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f436,plain,
( ~ spl0_22
| spl0_53 ),
inference(avatar_split_clause,[],[f83,f433,f297]) ).
fof(f83,axiom,
( c1_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f431,plain,
( spl0_52
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f74,f423,f428]) ).
fof(f74,axiom,
( ~ hskp15
| c1_1(a567) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f426,plain,
( ~ spl0_50
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f119,f423,f419]) ).
fof(f119,axiom,
( ~ hskp15
| ~ c2_1(a567) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f408,plain,
( spl0_46
| spl0_34
| ~ spl0_10
| spl0_47 ),
inference(avatar_split_clause,[],[f191,f406,f249,f348,f402]) ).
fof(f191,axiom,
! [X0,X1] :
( c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp31
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f400,plain,
( spl0_45
| ~ spl0_10
| spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f171,f253,f228,f249,f397]) ).
fof(f171,axiom,
! [X0] :
( ~ c0_1(X0)
| hskp26
| ~ ndr1_0
| ~ c3_1(X0)
| hskp27
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f395,plain,
( spl0_43
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f94,f392,f388]) ).
fof(f94,axiom,
( ~ hskp0
| c0_1(a536) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f386,plain,
( ~ spl0_33
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f121,f383,f344]) ).
fof(f121,axiom,
( ~ c2_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f381,plain,
( ~ spl0_40
| spl0_41 ),
inference(avatar_split_clause,[],[f66,f378,f374]) ).
fof(f66,axiom,
( c3_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f372,plain,
( ~ spl0_38
| spl0_39 ),
inference(avatar_split_clause,[],[f67,f369,f365]) ).
fof(f67,axiom,
( c2_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f363,plain,
( spl0_37
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f78,f344,f360]) ).
fof(f78,axiom,
( ~ hskp13
| c3_1(a565) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f350,plain,
( ~ spl0_10
| spl0_32
| spl0_33
| spl0_34 ),
inference(avatar_split_clause,[],[f161,f348,f344,f340,f249]) ).
fof(f161,axiom,
! [X0] :
( ~ c3_1(X0)
| hskp13
| c0_1(X0)
| hskp14
| ~ c2_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f338,plain,
( ~ spl0_10
| spl0_15
| spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f207,f336,f333,f268,f249]) ).
fof(f207,axiom,
! [X2,X0,X1] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).
fof(f331,plain,
( spl0_12
| spl0_29
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f186,f249,f329,f256]) ).
fof(f186,axiom,
! [X0,X1] :
( ~ ndr1_0
| c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f317,plain,
( spl0_26
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f64,f260,f314]) ).
fof(f64,axiom,
( ~ hskp25
| c2_1(a594) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f312,plain,
( ~ spl0_23
| spl0_25 ),
inference(avatar_split_clause,[],[f85,f309,f301]) ).
fof(f85,axiom,
( c1_1(a548)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f307,plain,
( spl0_22
| spl0_23
| ~ spl0_10
| spl0_24 ),
inference(avatar_split_clause,[],[f149,f305,f249,f301,f297]) ).
fof(f149,axiom,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| hskp8
| c0_1(X0)
| c2_1(X0)
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f284,plain,
( ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f126,f281,f264]) ).
fof(f126,axiom,
( ~ c1_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f279,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f136,f276,f272]) ).
fof(f136,axiom,
( ~ hskp3
| ~ c2_1(a539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f270,plain,
( spl0_13
| ~ spl0_10
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f168,f268,f264,f249,f260]) ).
fof(f168,axiom,
! [X0] :
( ~ c0_1(X0)
| hskp9
| ~ ndr1_0
| ~ c2_1(X0)
| c3_1(X0)
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f244,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f100,f241,f237]) ).
fof(f100,axiom,
( ~ c0_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f235,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f97,f232,f228]) ).
fof(f97,axiom,
( ~ c3_1(a604)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f226,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f112,f223,f219]) ).
fof(f112,axiom,
( ~ c0_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f217,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f89,f214,f210]) ).
fof(f89,axiom,
( ~ hskp5
| c0_1(a544) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN510-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 22:06:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (2776)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)
% 0.21/0.51 % (2752)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)
% 0.21/0.52 % (2772)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)
% 0.21/0.52 % (2763)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)
% 0.21/0.52 % (2755)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)
% 0.21/0.53 % (2752)First to succeed.
% 0.21/0.53 Detected maximum model sizes of [32]
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.54 % (2778)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (2759)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (2757)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (2757)Instruction limit reached!
% 0.21/0.54 % (2757)------------------------------
% 0.21/0.54 % (2757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (2757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (2757)Termination reason: Unknown
% 0.21/0.54 % (2757)Termination phase: Unused predicate definition removal
% 0.21/0.54
% 0.21/0.54 % (2757)Memory used [KB]: 1151
% 0.21/0.54 % (2757)Time elapsed: 0.002 s
% 0.21/0.54 % (2757)Instructions burned: 2 (million)
% 0.21/0.54 % (2757)------------------------------
% 0.21/0.54 % (2757)------------------------------
% 0.21/0.54 % (2754)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)
% 0.21/0.54 % (2753)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (2752)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (2752)------------------------------
% 0.21/0.55 % (2752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2752)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (2752)Memory used [KB]: 6780
% 0.21/0.55 % (2752)Time elapsed: 0.099 s
% 0.21/0.55 % (2752)Instructions burned: 38 (million)
% 0.21/0.55 % (2752)------------------------------
% 0.21/0.55 % (2752)------------------------------
% 0.21/0.55 % (2744)Success in time 0.192 s
%------------------------------------------------------------------------------