TSTP Solution File: SYN442-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN442-1 : 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 : n007.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 19:38:00 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  235
% Syntax   : Number of formulae    :  526 (   1 unt;   0 def)
%            Number of atoms       : 1611 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1887 ( 802   ~; 955   |;   0   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  159 ( 158 usr; 155 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :   96 (  96   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2116,plain,
    $false,
    inference(avatar_sat_refutation,[],[f193,f202,f207,f218,f227,f247,f252,f263,f272,f292,f302,f311,f324,f329,f347,f351,f365,f386,f391,f401,f405,f417,f437,f451,f464,f465,f470,f493,f502,f507,f532,f536,f537,f547,f554,f558,f563,f573,f580,f596,f605,f610,f628,f640,f645,f657,f662,f667,f669,f676,f681,f689,f694,f699,f727,f733,f735,f740,f746,f749,f754,f759,f760,f765,f770,f775,f778,f783,f788,f793,f794,f799,f804,f805,f810,f812,f817,f819,f824,f830,f835,f840,f842,f849,f855,f860,f871,f873,f878,f879,f884,f889,f895,f898,f909,f914,f921,f931,f936,f941,f946,f947,f952,f953,f958,f964,f1001,f1009,f1020,f1023,f1037,f1087,f1090,f1111,f1145,f1146,f1153,f1158,f1194,f1202,f1216,f1243,f1265,f1266,f1288,f1293,f1336,f1338,f1369,f1432,f1439,f1441,f1453,f1454,f1456,f1457,f1458,f1459,f1461,f1472,f1474,f1475,f1506,f1536,f1578,f1637,f1640,f1646,f1673,f1675,f1748,f1749,f1755,f1757,f1802,f1803,f1809,f1851,f1923,f1964,f1966,f1984,f1985,f2024,f2036,f2064,f2109]) ).

fof(f2109,plain,
    ( spl0_101
    | spl0_134
    | ~ spl0_27
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2108,f1499,f294,f832,f642]) ).

fof(f642,plain,
    ( spl0_101
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f832,plain,
    ( spl0_134
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f294,plain,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1499,plain,
    ( spl0_179
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f2108,plain,
    ( c3_1(a128)
    | c2_1(a128)
    | ~ spl0_27
    | ~ spl0_179 ),
    inference(resolution,[],[f295,f1501]) ).

fof(f1501,plain,
    ( c1_1(a128)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f295,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f2064,plain,
    ( spl0_87
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2062,f556,f375,f575]) ).

fof(f575,plain,
    ( spl0_87
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f375,plain,
    ( spl0_46
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f556,plain,
    ( spl0_83
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2062,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(duplicate_literal_removal,[],[f2042]) ).

fof(f2042,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(resolution,[],[f376,f557]) ).

fof(f557,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f376,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2036,plain,
    ( spl0_30
    | spl0_116
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2031,f928,f371,f724,f304]) ).

fof(f304,plain,
    ( spl0_30
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f724,plain,
    ( spl0_116
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f371,plain,
    ( spl0_45
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f928,plain,
    ( spl0_150
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2031,plain,
    ( c3_1(a136)
    | c0_1(a136)
    | ~ spl0_45
    | ~ spl0_150 ),
    inference(resolution,[],[f372,f930]) ).

fof(f930,plain,
    ( c2_1(a136)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f372,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2024,plain,
    ( ~ spl0_146
    | ~ spl0_119
    | ~ spl0_24
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2022,f1745,f283,f743,f906]) ).

fof(f906,plain,
    ( spl0_146
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f743,plain,
    ( spl0_119
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f283,plain,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1745,plain,
    ( spl0_182
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2022,plain,
    ( ~ c1_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_24
    | ~ spl0_182 ),
    inference(resolution,[],[f284,f1747]) ).

fof(f1747,plain,
    ( c2_1(a125)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1745]) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f1985,plain,
    ( spl0_2
    | spl0_172
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1978,f570,f245,f1199,f190]) ).

fof(f190,plain,
    ( spl0_2
  <=> c1_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1199,plain,
    ( spl0_172
  <=> c0_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f245,plain,
    ( spl0_15
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f570,plain,
    ( spl0_86
  <=> c2_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1978,plain,
    ( c0_1(a135)
    | c1_1(a135)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(resolution,[],[f246,f572]) ).

fof(f572,plain,
    ( c2_1(a135)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f1984,plain,
    ( spl0_142
    | spl0_94
    | ~ spl0_15
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1973,f814,f245,f602,f881]) ).

fof(f881,plain,
    ( spl0_142
  <=> c1_1(a196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f602,plain,
    ( spl0_94
  <=> c0_1(a196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f814,plain,
    ( spl0_131
  <=> c2_1(a196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1973,plain,
    ( c0_1(a196)
    | c1_1(a196)
    | ~ spl0_15
    | ~ spl0_131 ),
    inference(resolution,[],[f246,f816]) ).

fof(f816,plain,
    ( c2_1(a196)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f1966,plain,
    ( spl0_141
    | spl0_98
    | ~ spl0_28
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1965,f1961,f297,f625,f875]) ).

fof(f875,plain,
    ( spl0_141
  <=> c3_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f625,plain,
    ( spl0_98
  <=> c1_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f297,plain,
    ( spl0_28
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1961,plain,
    ( spl0_184
  <=> c2_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1965,plain,
    ( c1_1(a145)
    | c3_1(a145)
    | ~ spl0_28
    | ~ spl0_184 ),
    inference(resolution,[],[f1963,f298]) ).

fof(f298,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f1963,plain,
    ( c2_1(a145)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1961]) ).

fof(f1964,plain,
    ( spl0_184
    | spl0_64
    | ~ spl0_83
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1959,f875,f556,f461,f1961]) ).

fof(f461,plain,
    ( spl0_64
  <=> c0_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1959,plain,
    ( c0_1(a145)
    | c2_1(a145)
    | ~ spl0_83
    | spl0_141 ),
    inference(resolution,[],[f557,f877]) ).

fof(f877,plain,
    ( ~ c3_1(a145)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1923,plain,
    ( ~ spl0_173
    | spl0_132
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1912,f933,f403,f821,f1213]) ).

fof(f1213,plain,
    ( spl0_173
  <=> c1_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f821,plain,
    ( spl0_132
  <=> c0_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f403,plain,
    ( spl0_52
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f933,plain,
    ( spl0_151
  <=> c2_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1912,plain,
    ( c0_1(a144)
    | ~ c1_1(a144)
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(resolution,[],[f404,f935]) ).

fof(f935,plain,
    ( c2_1(a144)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f404,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f1851,plain,
    ( ~ spl0_124
    | ~ spl0_84
    | ~ spl0_8
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1842,f1575,f216,f560,f772]) ).

fof(f772,plain,
    ( spl0_124
  <=> c1_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f560,plain,
    ( spl0_84
  <=> c0_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f216,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1575,plain,
    ( spl0_180
  <=> c3_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1842,plain,
    ( ~ c0_1(a151)
    | ~ c1_1(a151)
    | ~ spl0_8
    | ~ spl0_180 ),
    inference(resolution,[],[f217,f1577]) ).

fof(f1577,plain,
    ( c3_1(a151)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1575]) ).

fof(f217,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f1809,plain,
    ( spl0_92
    | spl0_140
    | ~ spl0_28
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1808,f938,f297,f868,f593]) ).

fof(f593,plain,
    ( spl0_92
  <=> c3_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f868,plain,
    ( spl0_140
  <=> c1_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f938,plain,
    ( spl0_152
  <=> c2_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1808,plain,
    ( c1_1(a192)
    | c3_1(a192)
    | ~ spl0_28
    | ~ spl0_152 ),
    inference(resolution,[],[f940,f298]) ).

fof(f940,plain,
    ( c2_1(a192)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f1803,plain,
    ( spl0_130
    | ~ spl0_146
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1799,f743,f290,f906,f807]) ).

fof(f807,plain,
    ( spl0_130
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f290,plain,
    ( spl0_26
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1799,plain,
    ( ~ c0_1(a125)
    | c3_1(a125)
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(resolution,[],[f291,f745]) ).

fof(f745,plain,
    ( c1_1(a125)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f291,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f1802,plain,
    ( spl0_116
    | ~ spl0_30
    | ~ spl0_26
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1796,f1468,f290,f304,f724]) ).

fof(f1468,plain,
    ( spl0_178
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1796,plain,
    ( ~ c0_1(a136)
    | c3_1(a136)
    | ~ spl0_26
    | ~ spl0_178 ),
    inference(resolution,[],[f291,f1470]) ).

fof(f1470,plain,
    ( c1_1(a136)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1468]) ).

fof(f1757,plain,
    ( spl0_178
    | spl0_116
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1719,f928,f297,f724,f1468]) ).

fof(f1719,plain,
    ( c3_1(a136)
    | c1_1(a136)
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(resolution,[],[f930,f298]) ).

fof(f1755,plain,
    ( spl0_138
    | ~ spl0_127
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1736,f998,f322,f790,f857]) ).

fof(f857,plain,
    ( spl0_138
  <=> c2_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f790,plain,
    ( spl0_127
  <=> c0_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f322,plain,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f998,plain,
    ( spl0_159
  <=> c1_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1736,plain,
    ( ~ c0_1(a159)
    | c2_1(a159)
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(resolution,[],[f323,f1000]) ).

fof(f1000,plain,
    ( c1_1(a159)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f323,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1749,plain,
    ( ~ spl0_105
    | spl0_169
    | ~ spl0_34
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1729,f544,f322,f1155,f664]) ).

fof(f664,plain,
    ( spl0_105
  <=> c0_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1155,plain,
    ( spl0_169
  <=> c2_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f544,plain,
    ( spl0_81
  <=> c1_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1729,plain,
    ( c2_1(a150)
    | ~ c0_1(a150)
    | ~ spl0_34
    | ~ spl0_81 ),
    inference(resolution,[],[f323,f546]) ).

fof(f546,plain,
    ( c1_1(a150)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f1748,plain,
    ( ~ spl0_146
    | spl0_182
    | ~ spl0_34
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1741,f743,f322,f1745,f906]) ).

fof(f1741,plain,
    ( c2_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_34
    | ~ spl0_119 ),
    inference(resolution,[],[f323,f745]) ).

fof(f1675,plain,
    ( spl0_144
    | spl0_101
    | ~ spl0_83
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1669,f832,f556,f642,f892]) ).

fof(f892,plain,
    ( spl0_144
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1669,plain,
    ( c2_1(a128)
    | c0_1(a128)
    | ~ spl0_83
    | spl0_134 ),
    inference(resolution,[],[f557,f834]) ).

fof(f834,plain,
    ( ~ c3_1(a128)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f1673,plain,
    ( spl0_167
    | spl0_3
    | ~ spl0_83
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1666,f696,f556,f195,f1108]) ).

fof(f1108,plain,
    ( spl0_167
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f195,plain,
    ( spl0_3
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f696,plain,
    ( spl0_110
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1666,plain,
    ( c0_1(a134)
    | c2_1(a134)
    | ~ spl0_83
    | spl0_110 ),
    inference(resolution,[],[f557,f698]) ).

fof(f698,plain,
    ( ~ c3_1(a134)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1646,plain,
    ( spl0_154
    | spl0_143
    | ~ spl0_61
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1645,f529,f449,f886,f949]) ).

fof(f949,plain,
    ( spl0_154
  <=> c2_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f886,plain,
    ( spl0_143
  <=> c0_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f449,plain,
    ( spl0_61
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f529,plain,
    ( spl0_78
  <=> c3_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1645,plain,
    ( c0_1(a170)
    | c2_1(a170)
    | ~ spl0_61
    | ~ spl0_78 ),
    inference(resolution,[],[f531,f450]) ).

fof(f450,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f531,plain,
    ( c3_1(a170)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f1640,plain,
    ( spl0_179
    | spl0_144
    | ~ spl0_87
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1633,f642,f575,f892,f1499]) ).

fof(f1633,plain,
    ( c0_1(a128)
    | c1_1(a128)
    | ~ spl0_87
    | spl0_101 ),
    inference(resolution,[],[f576,f644]) ).

fof(f644,plain,
    ( ~ c2_1(a128)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f576,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1637,plain,
    ( spl0_109
    | spl0_104
    | ~ spl0_87
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1632,f762,f575,f659,f691]) ).

fof(f691,plain,
    ( spl0_109
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f659,plain,
    ( spl0_104
  <=> c0_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f762,plain,
    ( spl0_122
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1632,plain,
    ( c0_1(a133)
    | c1_1(a133)
    | ~ spl0_87
    | spl0_122 ),
    inference(resolution,[],[f576,f764]) ).

fof(f764,plain,
    ( ~ c2_1(a133)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f1578,plain,
    ( spl0_180
    | ~ spl0_84
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1565,f772,f290,f560,f1575]) ).

fof(f1565,plain,
    ( ~ c0_1(a151)
    | c3_1(a151)
    | ~ spl0_26
    | ~ spl0_124 ),
    inference(resolution,[],[f291,f774]) ).

fof(f774,plain,
    ( c1_1(a151)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1536,plain,
    ( spl0_164
    | spl0_16
    | ~ spl0_61
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1530,f801,f449,f249,f1044]) ).

fof(f1044,plain,
    ( spl0_164
  <=> c2_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f249,plain,
    ( spl0_16
  <=> c0_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f801,plain,
    ( spl0_129
  <=> c3_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1530,plain,
    ( c0_1(a140)
    | c2_1(a140)
    | ~ spl0_61
    | ~ spl0_129 ),
    inference(resolution,[],[f450,f803]) ).

fof(f803,plain,
    ( c3_1(a140)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1506,plain,
    ( spl0_107
    | spl0_106
    | ~ spl0_7
    | spl0_20 ),
    inference(avatar_split_clause,[],[f1495,f265,f213,f673,f678]) ).

fof(f678,plain,
    ( spl0_107
  <=> c2_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f673,plain,
    ( spl0_106
  <=> c1_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f213,plain,
    ( spl0_7
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f265,plain,
    ( spl0_20
  <=> c3_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1495,plain,
    ( c1_1(a183)
    | c2_1(a183)
    | ~ spl0_7
    | spl0_20 ),
    inference(resolution,[],[f214,f267]) ).

fof(f267,plain,
    ( ~ c3_1(a183)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f214,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f1475,plain,
    ( ~ spl0_175
    | spl0_73
    | ~ spl0_88
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1417,f756,f578,f504,f1290]) ).

fof(f1290,plain,
    ( spl0_175
  <=> c0_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f504,plain,
    ( spl0_73
  <=> c1_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f578,plain,
    ( spl0_88
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f756,plain,
    ( spl0_121
  <=> c3_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1417,plain,
    ( c1_1(a149)
    | ~ c0_1(a149)
    | ~ spl0_88
    | ~ spl0_121 ),
    inference(resolution,[],[f579,f758]) ).

fof(f758,plain,
    ( c3_1(a149)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f579,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1474,plain,
    ( ~ spl0_169
    | ~ spl0_105
    | ~ spl0_18
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1207,f388,f258,f664,f1155]) ).

fof(f258,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f388,plain,
    ( spl0_49
  <=> c3_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1207,plain,
    ( ~ c0_1(a150)
    | ~ c2_1(a150)
    | ~ spl0_18
    | ~ spl0_49 ),
    inference(resolution,[],[f390,f259]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f390,plain,
    ( c3_1(a150)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1472,plain,
    ( ~ spl0_30
    | ~ spl0_178
    | ~ spl0_24
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1465,f928,f283,f1468,f304]) ).

fof(f1465,plain,
    ( ~ c1_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_24
    | ~ spl0_150 ),
    inference(resolution,[],[f930,f284]) ).

fof(f1461,plain,
    ( spl0_35
    | ~ spl0_84
    | ~ spl0_34
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1460,f772,f322,f560,f326]) ).

fof(f326,plain,
    ( spl0_35
  <=> c2_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1460,plain,
    ( ~ c0_1(a151)
    | c2_1(a151)
    | ~ spl0_34
    | ~ spl0_124 ),
    inference(resolution,[],[f774,f323]) ).

fof(f1459,plain,
    ( ~ spl0_156
    | spl0_9
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1409,f362,f322,f220,f961]) ).

fof(f961,plain,
    ( spl0_156
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f220,plain,
    ( spl0_9
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f362,plain,
    ( spl0_43
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1409,plain,
    ( c2_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(resolution,[],[f323,f364]) ).

fof(f364,plain,
    ( c1_1(a131)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f1458,plain,
    ( spl0_175
    | spl0_51
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1298,f756,f449,f398,f1290]) ).

fof(f398,plain,
    ( spl0_51
  <=> c2_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1298,plain,
    ( c2_1(a149)
    | c0_1(a149)
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(resolution,[],[f450,f758]) ).

fof(f1457,plain,
    ( ~ spl0_156
    | spl0_9
    | ~ spl0_40
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1367,f737,f349,f220,f961]) ).

fof(f349,plain,
    ( spl0_40
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f737,plain,
    ( spl0_118
  <=> c3_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1367,plain,
    ( c2_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_40
    | ~ spl0_118 ),
    inference(resolution,[],[f350,f739]) ).

fof(f739,plain,
    ( c3_1(a131)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1456,plain,
    ( spl0_156
    | spl0_9
    | ~ spl0_61
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1303,f737,f449,f220,f961]) ).

fof(f1303,plain,
    ( c2_1(a131)
    | c0_1(a131)
    | ~ spl0_61
    | ~ spl0_118 ),
    inference(resolution,[],[f450,f739]) ).

fof(f1454,plain,
    ( spl0_47
    | spl0_159
    | ~ spl0_90
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1445,f790,f585,f998,f379]) ).

fof(f379,plain,
    ( spl0_47
  <=> c3_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f585,plain,
    ( spl0_90
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1445,plain,
    ( c1_1(a159)
    | c3_1(a159)
    | ~ spl0_90
    | ~ spl0_127 ),
    inference(resolution,[],[f586,f792]) ).

fof(f792,plain,
    ( c0_1(a159)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f586,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1453,plain,
    ( spl0_128
    | spl0_58
    | ~ spl0_90
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1446,f751,f585,f434,f796]) ).

fof(f796,plain,
    ( spl0_128
  <=> c1_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f434,plain,
    ( spl0_58
  <=> c3_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f751,plain,
    ( spl0_120
  <=> c0_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1446,plain,
    ( c3_1(a139)
    | c1_1(a139)
    | ~ spl0_90
    | ~ spl0_120 ),
    inference(resolution,[],[f586,f753]) ).

fof(f753,plain,
    ( c0_1(a139)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1441,plain,
    ( ~ spl0_169
    | ~ spl0_81
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1422,f582,f388,f544,f1155]) ).

fof(f582,plain,
    ( spl0_89
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1422,plain,
    ( ~ c1_1(a150)
    | ~ c2_1(a150)
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(resolution,[],[f583,f390]) ).

fof(f583,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1439,plain,
    ( ~ spl0_164
    | ~ spl0_54
    | ~ spl0_89
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1428,f801,f582,f414,f1044]) ).

fof(f414,plain,
    ( spl0_54
  <=> c1_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1428,plain,
    ( ~ c1_1(a140)
    | ~ c2_1(a140)
    | ~ spl0_89
    | ~ spl0_129 ),
    inference(resolution,[],[f583,f803]) ).

fof(f1432,plain,
    ( ~ spl0_133
    | ~ spl0_108
    | ~ spl0_39
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1423,f582,f344,f686,f827]) ).

fof(f827,plain,
    ( spl0_133
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f686,plain,
    ( spl0_108
  <=> c1_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f344,plain,
    ( spl0_39
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1423,plain,
    ( ~ c1_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_39
    | ~ spl0_89 ),
    inference(resolution,[],[f583,f346]) ).

fof(f346,plain,
    ( c3_1(a137)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1369,plain,
    ( ~ spl0_175
    | spl0_51
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1363,f756,f349,f398,f1290]) ).

fof(f1363,plain,
    ( c2_1(a149)
    | ~ c0_1(a149)
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(resolution,[],[f350,f758]) ).

fof(f1338,plain,
    ( spl0_58
    | spl0_160
    | ~ spl0_79
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1332,f751,f534,f1003,f434]) ).

fof(f1003,plain,
    ( spl0_160
  <=> c2_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f534,plain,
    ( spl0_79
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1332,plain,
    ( c2_1(a139)
    | c3_1(a139)
    | ~ spl0_79
    | ~ spl0_120 ),
    inference(resolution,[],[f535,f753]) ).

fof(f535,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f1336,plain,
    ( spl0_47
    | spl0_138
    | ~ spl0_79
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1329,f790,f534,f857,f379]) ).

fof(f1329,plain,
    ( c2_1(a159)
    | c3_1(a159)
    | ~ spl0_79
    | ~ spl0_127 ),
    inference(resolution,[],[f535,f792]) ).

fof(f1293,plain,
    ( spl0_73
    | spl0_175
    | ~ spl0_46
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1280,f756,f375,f1290,f504]) ).

fof(f1280,plain,
    ( c0_1(a149)
    | c1_1(a149)
    | ~ spl0_46
    | ~ spl0_121 ),
    inference(resolution,[],[f376,f758]) ).

fof(f1288,plain,
    ( spl0_172
    | spl0_2
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1285,f551,f375,f190,f1199]) ).

fof(f551,plain,
    ( spl0_82
  <=> c3_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1285,plain,
    ( c1_1(a135)
    | c0_1(a135)
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(resolution,[],[f376,f553]) ).

fof(f553,plain,
    ( c3_1(a135)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1266,plain,
    ( spl0_123
    | spl0_132
    | ~ spl0_45
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1254,f933,f371,f821,f767]) ).

fof(f767,plain,
    ( spl0_123
  <=> c3_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1254,plain,
    ( c0_1(a144)
    | c3_1(a144)
    | ~ spl0_45
    | ~ spl0_151 ),
    inference(resolution,[],[f372,f935]) ).

fof(f1265,plain,
    ( spl0_110
    | spl0_3
    | ~ spl0_45
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1257,f1108,f371,f195,f696]) ).

fof(f1257,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_45
    | ~ spl0_167 ),
    inference(resolution,[],[f372,f1110]) ).

fof(f1110,plain,
    ( c2_1(a134)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1243,plain,
    ( ~ spl0_117
    | ~ spl0_165
    | ~ spl0_24
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1242,f780,f283,f1084,f730]) ).

fof(f730,plain,
    ( spl0_117
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1084,plain,
    ( spl0_165
  <=> c0_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f780,plain,
    ( spl0_125
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1242,plain,
    ( ~ c0_1(a130)
    | ~ c1_1(a130)
    | ~ spl0_24
    | ~ spl0_125 ),
    inference(resolution,[],[f284,f782]) ).

fof(f782,plain,
    ( c2_1(a130)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1216,plain,
    ( spl0_123
    | spl0_173
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1211,f933,f297,f1213,f767]) ).

fof(f1211,plain,
    ( c1_1(a144)
    | c3_1(a144)
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(resolution,[],[f935,f298]) ).

fof(f1202,plain,
    ( ~ spl0_172
    | ~ spl0_86
    | ~ spl0_18
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1192,f551,f258,f570,f1199]) ).

fof(f1192,plain,
    ( ~ c2_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_18
    | ~ spl0_82 ),
    inference(resolution,[],[f259,f553]) ).

fof(f1194,plain,
    ( ~ spl0_100
    | ~ spl0_71
    | ~ spl0_18
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1185,f911,f258,f495,f637]) ).

fof(f637,plain,
    ( spl0_100
  <=> c0_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f495,plain,
    ( spl0_71
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f911,plain,
    ( spl0_147
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1185,plain,
    ( ~ c2_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_18
    | ~ spl0_147 ),
    inference(resolution,[],[f259,f913]) ).

fof(f913,plain,
    ( c3_1(a143)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1158,plain,
    ( spl0_169
    | ~ spl0_81
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1151,f388,f300,f544,f1155]) ).

fof(f300,plain,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1151,plain,
    ( ~ c1_1(a150)
    | c2_1(a150)
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(resolution,[],[f390,f301]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1153,plain,
    ( ~ spl0_105
    | ~ spl0_81
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1152,f388,f216,f544,f664]) ).

fof(f1152,plain,
    ( ~ c1_1(a150)
    | ~ c0_1(a150)
    | ~ spl0_8
    | ~ spl0_49 ),
    inference(resolution,[],[f390,f217]) ).

fof(f1146,plain,
    ( spl0_16
    | ~ spl0_54
    | ~ spl0_52
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1137,f1044,f403,f414,f249]) ).

fof(f1137,plain,
    ( ~ c1_1(a140)
    | c0_1(a140)
    | ~ spl0_52
    | ~ spl0_164 ),
    inference(resolution,[],[f404,f1046]) ).

fof(f1046,plain,
    ( c2_1(a140)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f1145,plain,
    ( spl0_165
    | ~ spl0_117
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1143,f780,f403,f730,f1084]) ).

fof(f1143,plain,
    ( ~ c1_1(a130)
    | c0_1(a130)
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(resolution,[],[f404,f782]) ).

fof(f1111,plain,
    ( spl0_167
    | spl0_110
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1104,f294,f204,f696,f1108]) ).

fof(f204,plain,
    ( spl0_5
  <=> c1_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1104,plain,
    ( c3_1(a134)
    | c2_1(a134)
    | ~ spl0_5
    | ~ spl0_27 ),
    inference(resolution,[],[f295,f206]) ).

fof(f206,plain,
    ( c1_1(a134)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f1090,plain,
    ( spl0_135
    | spl0_165
    | ~ spl0_45
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1088,f780,f371,f1084,f837]) ).

fof(f837,plain,
    ( spl0_135
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1088,plain,
    ( c0_1(a130)
    | c3_1(a130)
    | ~ spl0_45
    | ~ spl0_125 ),
    inference(resolution,[],[f782,f372]) ).

fof(f1087,plain,
    ( spl0_135
    | ~ spl0_165
    | ~ spl0_26
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1082,f730,f290,f1084,f837]) ).

fof(f1082,plain,
    ( ~ c0_1(a130)
    | c3_1(a130)
    | ~ spl0_26
    | ~ spl0_117 ),
    inference(resolution,[],[f732,f291]) ).

fof(f732,plain,
    ( c1_1(a130)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f1037,plain,
    ( ~ spl0_43
    | spl0_9
    | ~ spl0_29
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1036,f737,f300,f220,f362]) ).

fof(f1036,plain,
    ( c2_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_29
    | ~ spl0_118 ),
    inference(resolution,[],[f301,f739]) ).

fof(f1023,plain,
    ( spl0_126
    | spl0_155
    | ~ spl0_27
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1021,f943,f294,f955,f785]) ).

fof(f785,plain,
    ( spl0_126
  <=> c3_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f955,plain,
    ( spl0_155
  <=> c2_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f943,plain,
    ( spl0_153
  <=> c1_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1021,plain,
    ( c2_1(a158)
    | c3_1(a158)
    | ~ spl0_27
    | ~ spl0_153 ),
    inference(resolution,[],[f945,f295]) ).

fof(f945,plain,
    ( c1_1(a158)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f1020,plain,
    ( spl0_58
    | spl0_128
    | ~ spl0_28
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1018,f1003,f297,f796,f434]) ).

fof(f1018,plain,
    ( c1_1(a139)
    | c3_1(a139)
    | ~ spl0_28
    | ~ spl0_160 ),
    inference(resolution,[],[f1005,f298]) ).

fof(f1005,plain,
    ( c2_1(a139)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1009,plain,
    ( ~ spl0_127
    | spl0_47
    | ~ spl0_26
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1008,f998,f290,f379,f790]) ).

fof(f1008,plain,
    ( c3_1(a159)
    | ~ c0_1(a159)
    | ~ spl0_26
    | ~ spl0_159 ),
    inference(resolution,[],[f1000,f291]) ).

fof(f1001,plain,
    ( spl0_138
    | spl0_159
    | ~ spl0_19
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f996,f790,f261,f998,f857]) ).

fof(f261,plain,
    ( spl0_19
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f996,plain,
    ( c1_1(a159)
    | c2_1(a159)
    | ~ spl0_19
    | ~ spl0_127 ),
    inference(resolution,[],[f262,f792]) ).

fof(f262,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f964,plain,
    ( ~ spl0_43
    | ~ spl0_156
    | ~ spl0_8
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f959,f737,f216,f961,f362]) ).

fof(f959,plain,
    ( ~ c0_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_8
    | ~ spl0_118 ),
    inference(resolution,[],[f217,f739]) ).

fof(f958,plain,
    ( ~ spl0_155
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f100,f612,f955]) ).

fof(f612,plain,
    ( spl0_96
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c2_1(a158) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f953,plain,
    ( spl0_10
    | ~ spl0_6
    | spl0_90
    | spl0_70 ),
    inference(avatar_split_clause,[],[f143,f490,f585,f209,f224]) ).

fof(f224,plain,
    ( spl0_10
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f209,plain,
    ( spl0_6
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f490,plain,
    ( spl0_70
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f952,plain,
    ( ~ spl0_77
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f94,f949,f525]) ).

fof(f525,plain,
    ( spl0_77
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f94,axiom,
    ( ~ c2_1(a170)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f947,plain,
    ( spl0_57
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1,f186,f430]) ).

fof(f430,plain,
    ( spl0_57
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f186,plain,
    ( spl0_1
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1,axiom,
    ( hskp8
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f946,plain,
    ( ~ spl0_96
    | spl0_153 ),
    inference(avatar_split_clause,[],[f60,f943,f612]) ).

fof(f60,axiom,
    ( c1_1(a158)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f941,plain,
    ( ~ spl0_91
    | spl0_152 ),
    inference(avatar_split_clause,[],[f50,f938,f589]) ).

fof(f589,plain,
    ( spl0_91
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f50,axiom,
    ( c2_1(a192)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f936,plain,
    ( ~ spl0_25
    | spl0_151 ),
    inference(avatar_split_clause,[],[f64,f933,f286]) ).

fof(f286,plain,
    ( spl0_25
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f64,axiom,
    ( c2_1(a144)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f931,plain,
    ( ~ spl0_31
    | spl0_150 ),
    inference(avatar_split_clause,[],[f71,f928,f308]) ).

fof(f308,plain,
    ( spl0_31
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f71,axiom,
    ( c2_1(a136)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f921,plain,
    ( spl0_38
    | spl0_93
    | spl0_18
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f157,f209,f258,f598,f340]) ).

fof(f340,plain,
    ( spl0_38
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f598,plain,
    ( spl0_93
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp26
      | hskp27
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f914,plain,
    ( ~ spl0_72
    | spl0_147 ),
    inference(avatar_split_clause,[],[f45,f911,f499]) ).

fof(f499,plain,
    ( spl0_72
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f45,axiom,
    ( c3_1(a143)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f909,plain,
    ( spl0_146
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f80,f237,f906]) ).

fof(f237,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f80,axiom,
    ( ~ hskp1
    | c0_1(a125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f898,plain,
    ( spl0_11
    | spl0_26
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f148,f209,f290,f229]) ).

fof(f229,plain,
    ( spl0_11
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | hskp12
      | c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f895,plain,
    ( ~ spl0_144
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f241,f892]) ).

fof(f241,plain,
    ( spl0_14
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c0_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f889,plain,
    ( ~ spl0_77
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f93,f886,f525]) ).

fof(f93,axiom,
    ( ~ c0_1(a170)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f884,plain,
    ( ~ spl0_93
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f85,f881,f598]) ).

fof(f85,axiom,
    ( ~ c1_1(a196)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f879,plain,
    ( ~ spl0_6
    | spl0_25
    | spl0_72
    | spl0_61 ),
    inference(avatar_split_clause,[],[f137,f449,f499,f286,f209]) ).

fof(f137,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp28
      | hskp13
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f878,plain,
    ( ~ spl0_60
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f107,f875,f445]) ).

fof(f445,plain,
    ( spl0_60
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f107,axiom,
    ( ~ c3_1(a145)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f873,plain,
    ( spl0_65
    | spl0_31
    | spl0_77 ),
    inference(avatar_split_clause,[],[f34,f525,f308,f467]) ).

fof(f467,plain,
    ( spl0_65
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f34,axiom,
    ( hskp21
    | hskp9
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f871,plain,
    ( ~ spl0_140
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f86,f589,f868]) ).

fof(f86,axiom,
    ( ~ hskp25
    | ~ c1_1(a192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f860,plain,
    ( ~ spl0_48
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f98,f857,f383]) ).

fof(f383,plain,
    ( spl0_48
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f98,axiom,
    ( ~ c2_1(a159)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f855,plain,
    ( ~ spl0_6
    | spl0_34
    | spl0_89
    | spl0_28 ),
    inference(avatar_split_clause,[],[f184,f297,f582,f322,f209]) ).

fof(f184,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f849,plain,
    ( ~ spl0_6
    | spl0_28
    | spl0_40
    | spl0_1 ),
    inference(avatar_split_clause,[],[f169,f186,f349,f297,f209]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( hskp8
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f842,plain,
    ( spl0_10
    | spl0_33
    | spl0_11 ),
    inference(avatar_split_clause,[],[f36,f229,f318,f224]) ).

fof(f318,plain,
    ( spl0_33
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f36,axiom,
    ( hskp12
    | hskp15
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f840,plain,
    ( ~ spl0_135
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f122,f490,f837]) ).

fof(f122,axiom,
    ( ~ hskp4
    | ~ c3_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f835,plain,
    ( ~ spl0_14
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f125,f832,f241]) ).

fof(f125,axiom,
    ( ~ c3_1(a128)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f830,plain,
    ( spl0_133
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f47,f340,f827]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c2_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f824,plain,
    ( ~ spl0_25
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f108,f821,f286]) ).

fof(f108,axiom,
    ( ~ c0_1(a144)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f819,plain,
    ( ~ spl0_31
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f209,f308]) ).

fof(f23,axiom,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f817,plain,
    ( spl0_131
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f49,f598,f814]) ).

fof(f49,axiom,
    ( ~ hskp26
    | c2_1(a196) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f812,plain,
    ( spl0_17
    | ~ spl0_6
    | spl0_28
    | spl0_96 ),
    inference(avatar_split_clause,[],[f144,f612,f297,f209,f254]) ).

fof(f254,plain,
    ( spl0_17
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | hskp16
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f810,plain,
    ( ~ spl0_130
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f128,f237,f807]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c3_1(a125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f805,plain,
    ( ~ spl0_6
    | spl0_89
    | spl0_13
    | spl0_18 ),
    inference(avatar_split_clause,[],[f179,f258,f237,f582,f209]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp1
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f804,plain,
    ( spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f66,f229,f801]) ).

fof(f66,axiom,
    ( ~ hskp12
    | c3_1(a140) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f799,plain,
    ( ~ spl0_57
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f111,f796,f430]) ).

fof(f111,axiom,
    ( ~ c1_1(a139)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f794,plain,
    ( spl0_31
    | spl0_83
    | spl0_61
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f160,f209,f449,f556,f308]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c3_1(X1)
      | hskp9
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f793,plain,
    ( ~ spl0_48
    | spl0_127 ),
    inference(avatar_split_clause,[],[f59,f790,f383]) ).

fof(f59,axiom,
    ( c0_1(a159)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f788,plain,
    ( ~ spl0_96
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f101,f785,f612]) ).

fof(f101,axiom,
    ( ~ c3_1(a158)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f783,plain,
    ( spl0_125
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f78,f490,f780]) ).

fof(f78,axiom,
    ( ~ hskp4
    | c2_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f778,plain,
    ( spl0_96
    | spl0_40
    | ~ spl0_6
    | spl0_79 ),
    inference(avatar_split_clause,[],[f170,f534,f209,f349,f612]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f775,plain,
    ( ~ spl0_17
    | spl0_124 ),
    inference(avatar_split_clause,[],[f62,f772,f254]) ).

fof(f62,axiom,
    ( c1_1(a151)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f770,plain,
    ( ~ spl0_25
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f109,f767,f286]) ).

fof(f109,axiom,
    ( ~ c3_1(a144)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f765,plain,
    ( ~ spl0_65
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f120,f762,f467]) ).

fof(f120,axiom,
    ( ~ c2_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f760,plain,
    ( ~ spl0_6
    | spl0_77
    | spl0_17
    | spl0_88 ),
    inference(avatar_split_clause,[],[f149,f578,f254,f525,f209]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp16
      | ~ c3_1(X0)
      | hskp21
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f759,plain,
    ( spl0_121
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f63,f318,f756]) ).

fof(f63,axiom,
    ( ~ hskp15
    | c3_1(a149) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f754,plain,
    ( spl0_120
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f67,f430,f751]) ).

fof(f67,axiom,
    ( ~ hskp11
    | c0_1(a139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f749,plain,
    ( ~ spl0_6
    | spl0_27
    | spl0_48
    | spl0_77 ),
    inference(avatar_split_clause,[],[f146,f525,f383,f294,f209]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp21
      | hskp18
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f746,plain,
    ( spl0_119
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f81,f237,f743]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c1_1(a125) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f740,plain,
    ( ~ spl0_10
    | spl0_118 ),
    inference(avatar_split_clause,[],[f76,f737,f224]) ).

fof(f76,axiom,
    ( c3_1(a131)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f735,plain,
    ( spl0_91
    | ~ spl0_6
    | spl0_8
    | spl0_21 ),
    inference(avatar_split_clause,[],[f156,f269,f216,f209,f589]) ).

fof(f269,plain,
    ( spl0_21
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f156,axiom,
    ! [X0] :
      ( hskp24
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp25
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f733,plain,
    ( spl0_117
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f77,f490,f730]) ).

fof(f77,axiom,
    ( ~ hskp4
    | c1_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f727,plain,
    ( ~ spl0_31
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f114,f724,f308]) ).

fof(f114,axiom,
    ( ~ c3_1(a136)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f699,plain,
    ( ~ spl0_110
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f117,f199,f696]) ).

fof(f199,plain,
    ( spl0_4
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c3_1(a134) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f694,plain,
    ( ~ spl0_65
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f119,f691,f467]) ).

fof(f119,axiom,
    ( ~ c1_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f689,plain,
    ( ~ spl0_38
    | spl0_108 ),
    inference(avatar_split_clause,[],[f46,f686,f340]) ).

fof(f46,axiom,
    ( c1_1(a137)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f681,plain,
    ( ~ spl0_21
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f89,f678,f269]) ).

fof(f89,axiom,
    ( ~ c2_1(a183)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f676,plain,
    ( ~ spl0_21
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f88,f673,f269]) ).

fof(f88,axiom,
    ( ~ c1_1(a183)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f669,plain,
    ( spl0_17
    | ~ spl0_6
    | spl0_27
    | spl0_45 ),
    inference(avatar_split_clause,[],[f163,f371,f294,f209,f254]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp16
      | c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f667,plain,
    ( spl0_105
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f40,f367,f664]) ).

fof(f367,plain,
    ( spl0_44
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f40,axiom,
    ( ~ hskp29
    | c0_1(a150) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f662,plain,
    ( ~ spl0_65
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f118,f659,f467]) ).

fof(f118,axiom,
    ( ~ c0_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f657,plain,
    ( ~ spl0_77
    | spl0_6 ),
    inference(avatar_split_clause,[],[f11,f209,f525]) ).

fof(f11,axiom,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f645,plain,
    ( ~ spl0_14
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f124,f642,f241]) ).

fof(f124,axiom,
    ( ~ c2_1(a128)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f640,plain,
    ( ~ spl0_72
    | spl0_100 ),
    inference(avatar_split_clause,[],[f43,f637,f499]) ).

fof(f43,axiom,
    ( c0_1(a143)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f628,plain,
    ( ~ spl0_60
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f106,f625,f445]) ).

fof(f106,axiom,
    ( ~ c1_1(a145)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f610,plain,
    ( spl0_45
    | ~ spl0_6
    | spl0_89
    | spl0_7 ),
    inference(avatar_split_clause,[],[f180,f213,f582,f209,f371]) ).

fof(f180,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c2_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f605,plain,
    ( ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f84,f602,f598]) ).

fof(f84,axiom,
    ( ~ c0_1(a196)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f596,plain,
    ( ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f87,f593,f589]) ).

fof(f87,axiom,
    ( ~ c3_1(a192)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f580,plain,
    ( spl0_87
    | spl0_88
    | spl0_83
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f209,f556,f578,f575]) ).

fof(f178,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f573,plain,
    ( ~ spl0_1
    | spl0_86 ),
    inference(avatar_split_clause,[],[f72,f570,f186]) ).

fof(f72,axiom,
    ( c2_1(a135)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f563,plain,
    ( spl0_84
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f61,f254,f560]) ).

fof(f61,axiom,
    ( ~ hskp16
    | c0_1(a151) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f558,plain,
    ( spl0_61
    | spl0_38
    | spl0_83
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f161,f209,f556,f340,f449]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c3_1(X1)
      | hskp27
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f554,plain,
    ( spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f73,f186,f551]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c3_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f547,plain,
    ( spl0_81
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f41,f367,f544]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c1_1(a150) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f537,plain,
    ( spl0_44
    | ~ spl0_6
    | spl0_45
    | spl0_52 ),
    inference(avatar_split_clause,[],[f166,f403,f371,f209,f367]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | hskp29
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f536,plain,
    ( spl0_13
    | spl0_79
    | spl0_14
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f145,f209,f241,f534,f237]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | ~ c0_1(X0)
      | hskp1
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f532,plain,
    ( ~ spl0_77
    | spl0_78 ),
    inference(avatar_split_clause,[],[f55,f529,f525]) ).

fof(f55,axiom,
    ( c3_1(a170)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f507,plain,
    ( ~ spl0_33
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f103,f504,f318]) ).

fof(f103,axiom,
    ( ~ c1_1(a149)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f502,plain,
    ( spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f44,f499,f495]) ).

fof(f44,axiom,
    ( ~ hskp28
    | c2_1(a143) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f493,plain,
    ( ~ spl0_6
    | spl0_10
    | spl0_70
    | spl0_46 ),
    inference(avatar_split_clause,[],[f132,f375,f490,f224,f209]) ).

fof(f132,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp4
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f470,plain,
    ( spl0_6
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f26,f467,f209]) ).

fof(f26,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f465,plain,
    ( spl0_14
    | ~ spl0_6
    | spl0_61
    | spl0_28 ),
    inference(avatar_split_clause,[],[f162,f297,f449,f209,f241]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | hskp3
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f464,plain,
    ( ~ spl0_64
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f105,f445,f461]) ).

fof(f105,axiom,
    ( ~ hskp14
    | ~ c0_1(a145) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f451,plain,
    ( spl0_60
    | spl0_14
    | spl0_61
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f138,f209,f449,f241,f445]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp3
      | c0_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f437,plain,
    ( ~ spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f112,f434,f430]) ).

fof(f112,axiom,
    ( ~ c3_1(a139)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f417,plain,
    ( ~ spl0_11
    | spl0_54 ),
    inference(avatar_split_clause,[],[f65,f414,f229]) ).

fof(f65,axiom,
    ( c1_1(a140)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f405,plain,
    ( ~ spl0_6
    | spl0_48
    | spl0_52
    | spl0_18 ),
    inference(avatar_split_clause,[],[f175,f258,f403,f383,f209]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X1)
      | hskp18
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f401,plain,
    ( ~ spl0_51
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f104,f318,f398]) ).

fof(f104,axiom,
    ( ~ hskp15
    | ~ c2_1(a149) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f391,plain,
    ( spl0_49
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f42,f367,f388]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c3_1(a150) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f386,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f99,f383,f379]) ).

fof(f99,axiom,
    ( ~ hskp18
    | ~ c3_1(a159) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f365,plain,
    ( ~ spl0_10
    | spl0_43 ),
    inference(avatar_split_clause,[],[f75,f362,f224]) ).

fof(f75,axiom,
    ( c1_1(a131)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f351,plain,
    ( spl0_10
    | ~ spl0_6
    | spl0_21
    | spl0_40 ),
    inference(avatar_split_clause,[],[f152,f349,f269,f209,f224]) ).

fof(f152,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp24
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp5
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f347,plain,
    ( ~ spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f48,f344,f340]) ).

fof(f48,axiom,
    ( c3_1(a137)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f329,plain,
    ( ~ spl0_35
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f102,f254,f326]) ).

fof(f102,axiom,
    ( ~ hskp16
    | ~ c2_1(a151) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f324,plain,
    ( ~ spl0_6
    | spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f147,f322,f318,f209]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp15
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f311,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f70,f308,f304]) ).

fof(f70,axiom,
    ( ~ hskp9
    | c0_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f302,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_6
    | spl0_29 ),
    inference(avatar_split_clause,[],[f181,f300,f209,f297,f294]) ).

fof(f181,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f292,plain,
    ( spl0_24
    | ~ spl0_6
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f177,f290,f286,f209,f283]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp13
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f272,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f90,f269,f265]) ).

fof(f90,axiom,
    ( ~ hskp24
    | ~ c3_1(a183) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f263,plain,
    ( ~ spl0_6
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f172,f261,f258,f254,f209]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp16
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f252,plain,
    ( ~ spl0_16
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f110,f229,f249]) ).

fof(f110,axiom,
    ( ~ hskp12
    | ~ c0_1(a140) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f247,plain,
    ( ~ spl0_6
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f131,f245,f241,f237,f209]) ).

fof(f131,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp3
      | c0_1(X0)
      | hskp1
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f227,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f121,f224,f220]) ).

fof(f121,axiom,
    ( ~ hskp5
    | ~ c2_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f218,plain,
    ( ~ spl0_6
    | spl0_4
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f167,f216,f213,f199,f209]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | hskp7
      | ~ ndr1_0
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f207,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f74,f204,f199]) ).

fof(f74,axiom,
    ( c1_1(a134)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f202,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f199,f195]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c0_1(a134) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f193,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f115,f190,f186]) ).

fof(f115,axiom,
    ( ~ c1_1(a135)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN442-1 : 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 : n007.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
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:40:46 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (5626)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (5616)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)
% 0.20/0.49  % (5635)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)
% 0.20/0.50  % (5627)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)
% 0.20/0.50  % (5619)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)
% 0.20/0.51  Detected maximum model sizes of [31]
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (5617)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (5634)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (5614)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)
% 0.20/0.52  % (5633)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)
% 0.20/0.52  % (5615)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)
% 0.20/0.53  % (5618)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)
% 0.20/0.53  TRYING [4]
% 0.20/0.53  % (5613)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)
% 0.20/0.53  % (5640)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)
% 0.20/0.53  % (5639)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)
% 0.20/0.53  % (5628)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)
% 0.20/0.53  % (5636)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)
% 0.20/0.53  % (5637)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (5642)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)
% 0.20/0.53  % (5623)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (5620)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (5622)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)
% 0.20/0.54  % (5631)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (5641)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (5630)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (5629)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)
% 0.20/0.54  % (5625)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (5632)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)
% 0.20/0.54  % (5624)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)
% 0.20/0.54  Detected maximum model sizes of [31]
% 0.20/0.54  % (5638)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (5621)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (5620)Instruction limit reached!
% 0.20/0.55  % (5620)------------------------------
% 0.20/0.55  % (5620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5616)First to succeed.
% 0.20/0.55  Detected maximum model sizes of [31]
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (5620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (5620)Termination reason: Unknown
% 0.20/0.56  % (5620)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (5620)Memory used [KB]: 6012
% 0.20/0.56  % (5620)Time elapsed: 0.145 s
% 0.20/0.56  % (5620)Instructions burned: 7 (million)
% 0.20/0.56  % (5620)------------------------------
% 0.20/0.56  % (5620)------------------------------
% 0.20/0.56  % (5619)Instruction limit reached!
% 0.20/0.56  % (5619)------------------------------
% 0.20/0.56  % (5619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (5619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (5619)Termination reason: Unknown
% 0.20/0.56  % (5619)Termination phase: Finite model building SAT solving
% 0.20/0.56  
% 0.20/0.56  % (5619)Memory used [KB]: 6012
% 0.20/0.56  % (5619)Time elapsed: 0.098 s
% 0.20/0.56  % (5619)Instructions burned: 51 (million)
% 0.20/0.56  % (5619)------------------------------
% 0.20/0.56  % (5619)------------------------------
% 0.20/0.56  % (5621)Instruction limit reached!
% 0.20/0.56  % (5621)------------------------------
% 0.20/0.56  % (5621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (5621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (5621)Termination reason: Unknown
% 0.20/0.56  % (5621)Termination phase: Blocked clause elimination
% 0.20/0.56  
% 0.20/0.56  % (5621)Memory used [KB]: 1151
% 0.20/0.56  % (5621)Time elapsed: 0.003 s
% 0.20/0.56  % (5621)Instructions burned: 2 (million)
% 0.20/0.56  % (5621)------------------------------
% 0.20/0.56  % (5621)------------------------------
% 0.20/0.56  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [4]
% 0.20/0.57  TRYING [4]
% 0.20/0.58  % (5616)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (5616)------------------------------
% 0.20/0.58  % (5616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (5616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (5616)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (5616)Memory used [KB]: 6652
% 0.20/0.58  % (5616)Time elapsed: 0.147 s
% 0.20/0.58  % (5616)Instructions burned: 35 (million)
% 0.20/0.58  % (5616)------------------------------
% 0.20/0.58  % (5616)------------------------------
% 0.20/0.58  % (5612)Success in time 0.224 s
%------------------------------------------------------------------------------