TSTP Solution File: SYN501-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN501-1 : 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 : n021.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 19:38:33 EDT 2022

% Result   : Unsatisfiable 2.38s 0.69s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  250
% Syntax   : Number of formulae    :  528 (   1 unt;   0 def)
%            Number of atoms       : 1653 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1901 ( 776   ~; 995   |;   0   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  115 ( 115   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1782,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f229,f240,f249,f261,f274,f281,f302,f309,f314,f325,f330,f341,f350,f365,f374,f383,f395,f400,f404,f409,f418,f419,f424,f437,f442,f447,f454,f458,f459,f477,f491,f492,f501,f506,f511,f516,f521,f522,f526,f531,f536,f550,f562,f567,f572,f583,f593,f598,f603,f626,f632,f637,f642,f647,f656,f659,f664,f665,f676,f677,f682,f697,f703,f709,f711,f716,f722,f733,f735,f741,f747,f748,f754,f759,f761,f766,f771,f776,f781,f782,f791,f792,f797,f798,f803,f809,f814,f824,f825,f832,f839,f852,f857,f858,f859,f864,f867,f880,f885,f886,f891,f898,f900,f901,f903,f909,f914,f924,f925,f936,f942,f943,f948,f949,f954,f955,f961,f973,f978,f982,f995,f1000,f1010,f1015,f1027,f1087,f1088,f1096,f1104,f1115,f1121,f1152,f1157,f1158,f1159,f1188,f1189,f1194,f1206,f1212,f1234,f1235,f1251,f1279,f1281,f1309,f1329,f1330,f1345,f1346,f1348,f1350,f1361,f1368,f1393,f1406,f1417,f1429,f1431,f1445,f1497,f1559,f1617,f1621,f1625,f1645,f1661,f1673,f1762,f1778]) ).

fof(f1778,plain,
    ( ~ spl0_128
    | spl0_89
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1772,f390,f327,f595,f811]) ).

fof(f811,plain,
    ( spl0_128
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f595,plain,
    ( spl0_89
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f327,plain,
    ( spl0_32
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f390,plain,
    ( spl0_46
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1772,plain,
    ( c3_1(a105)
    | ~ c2_1(a105)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(resolution,[],[f391,f329]) ).

fof(f329,plain,
    ( c1_1(a105)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f1762,plain,
    ( spl0_34
    | spl0_72
    | ~ spl0_47
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1756,f788,f393,f508,f338]) ).

fof(f338,plain,
    ( spl0_34
  <=> c3_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f508,plain,
    ( spl0_72
  <=> c2_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f393,plain,
    ( spl0_47
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f788,plain,
    ( spl0_124
  <=> c1_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1756,plain,
    ( c2_1(a110)
    | c3_1(a110)
    | ~ spl0_47
    | ~ spl0_124 ),
    inference(resolution,[],[f394,f790]) ).

fof(f790,plain,
    ( c1_1(a110)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f394,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1673,plain,
    ( spl0_167
    | spl0_145
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1670,f933,f307,f921,f1118]) ).

fof(f1118,plain,
    ( spl0_167
  <=> c1_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f921,plain,
    ( spl0_145
  <=> c3_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f307,plain,
    ( spl0_27
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f933,plain,
    ( spl0_147
  <=> c2_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1670,plain,
    ( c3_1(a104)
    | c1_1(a104)
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(resolution,[],[f308,f935]) ).

fof(f935,plain,
    ( c2_1(a104)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1661,plain,
    ( spl0_130
    | spl0_125
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1652,f513,f276,f794,f821]) ).

fof(f821,plain,
    ( spl0_130
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f794,plain,
    ( spl0_125
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f276,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f513,plain,
    ( spl0_73
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1652,plain,
    ( c2_1(a136)
    | c1_1(a136)
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(resolution,[],[f277,f515]) ).

fof(f515,plain,
    ( c3_1(a136)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f277,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f1645,plain,
    ( ~ spl0_108
    | ~ spl0_160
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1636,f470,f279,f1038,f694]) ).

fof(f694,plain,
    ( spl0_108
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1038,plain,
    ( spl0_160
  <=> c2_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f279,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f470,plain,
    ( spl0_64
  <=> c1_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1636,plain,
    ( ~ c2_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(resolution,[],[f280,f472]) ).

fof(f472,plain,
    ( c1_1(a101)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f280,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f1625,plain,
    ( spl0_155
    | spl0_139
    | ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1624,f518,f259,f882,f992]) ).

fof(f992,plain,
    ( spl0_155
  <=> c2_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f882,plain,
    ( spl0_139
  <=> c0_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f259,plain,
    ( spl0_15
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f518,plain,
    ( spl0_74
  <=> c3_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1624,plain,
    ( c0_1(a173)
    | c2_1(a173)
    | ~ spl0_15
    | spl0_74 ),
    inference(resolution,[],[f520,f260]) ).

fof(f260,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f520,plain,
    ( ~ c3_1(a173)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1621,plain,
    ( spl0_176
    | ~ spl0_138
    | ~ spl0_46
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1524,f763,f390,f877,f1326]) ).

fof(f1326,plain,
    ( spl0_176
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f877,plain,
    ( spl0_138
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f763,plain,
    ( spl0_119
  <=> c1_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1524,plain,
    ( ~ c2_1(a137)
    | c3_1(a137)
    | ~ spl0_46
    | ~ spl0_119 ),
    inference(resolution,[],[f391,f765]) ).

fof(f765,plain,
    ( c1_1(a137)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1617,plain,
    ( spl0_143
    | spl0_97
    | ~ spl0_75
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1608,f888,f524,f634,f911]) ).

fof(f911,plain,
    ( spl0_143
  <=> c2_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f634,plain,
    ( spl0_97
  <=> c1_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f524,plain,
    ( spl0_75
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f888,plain,
    ( spl0_140
  <=> c0_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1608,plain,
    ( c1_1(a122)
    | c2_1(a122)
    | ~ spl0_75
    | ~ spl0_140 ),
    inference(resolution,[],[f525,f890]) ).

fof(f890,plain,
    ( c0_1(a122)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f525,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f1559,plain,
    ( spl0_135
    | spl0_102
    | ~ spl0_60
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1556,f623,f452,f661,f854]) ).

fof(f854,plain,
    ( spl0_135
  <=> c1_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f661,plain,
    ( spl0_102
  <=> c3_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f452,plain,
    ( spl0_60
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f623,plain,
    ( spl0_95
  <=> c0_1(a98) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1556,plain,
    ( c3_1(a98)
    | c1_1(a98)
    | ~ spl0_60
    | ~ spl0_95 ),
    inference(resolution,[],[f453,f625]) ).

fof(f625,plain,
    ( c0_1(a98)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f453,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1497,plain,
    ( spl0_111
    | spl0_53
    | ~ spl0_15
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1495,f700,f259,f421,f713]) ).

fof(f713,plain,
    ( spl0_111
  <=> c0_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f421,plain,
    ( spl0_53
  <=> c2_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f700,plain,
    ( spl0_109
  <=> c3_1(a121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1495,plain,
    ( c2_1(a121)
    | c0_1(a121)
    | ~ spl0_15
    | spl0_109 ),
    inference(resolution,[],[f260,f702]) ).

fof(f702,plain,
    ( ~ c3_1(a121)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1445,plain,
    ( spl0_127
    | spl0_69
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1444,f861,f449,f494,f806]) ).

fof(f806,plain,
    ( spl0_127
  <=> c2_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f494,plain,
    ( spl0_69
  <=> c3_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f449,plain,
    ( spl0_59
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f861,plain,
    ( spl0_136
  <=> c0_1(a97) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1444,plain,
    ( c3_1(a97)
    | c2_1(a97)
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(resolution,[],[f863,f450]) ).

fof(f450,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f863,plain,
    ( c0_1(a97)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f1431,plain,
    ( ~ spl0_101
    | spl0_156
    | ~ spl0_49
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1166,f706,f402,f997,f653]) ).

fof(f653,plain,
    ( spl0_101
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f997,plain,
    ( spl0_156
  <=> c0_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f402,plain,
    ( spl0_49
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f706,plain,
    ( spl0_110
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1166,plain,
    ( c0_1(a130)
    | ~ c3_1(a130)
    | ~ spl0_49
    | ~ spl0_110 ),
    inference(resolution,[],[f403,f708]) ).

fof(f708,plain,
    ( c1_1(a130)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f403,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f1429,plain,
    ( spl0_28
    | ~ spl0_48
    | ~ spl0_39
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1426,f829,f360,f397,f311]) ).

fof(f311,plain,
    ( spl0_28
  <=> c3_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f397,plain,
    ( spl0_48
  <=> c0_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f360,plain,
    ( spl0_39
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f829,plain,
    ( spl0_131
  <=> c2_1(a103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1426,plain,
    ( ~ c0_1(a103)
    | c3_1(a103)
    | ~ spl0_39
    | ~ spl0_131 ),
    inference(resolution,[],[f361,f831]) ).

fof(f831,plain,
    ( c2_1(a103)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f361,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1417,plain,
    ( spl0_99
    | spl0_120
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1413,f836,f352,f768,f644]) ).

fof(f644,plain,
    ( spl0_99
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f768,plain,
    ( spl0_120
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f352,plain,
    ( spl0_37
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f836,plain,
    ( spl0_132
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1413,plain,
    ( c0_1(a107)
    | c2_1(a107)
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(resolution,[],[f353,f838]) ).

fof(f838,plain,
    ( c3_1(a107)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f353,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1406,plain,
    ( ~ spl0_157
    | spl0_126
    | ~ spl0_31
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1400,f528,f323,f800,f1007]) ).

fof(f1007,plain,
    ( spl0_157
  <=> c2_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f800,plain,
    ( spl0_126
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f323,plain,
    ( spl0_31
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f528,plain,
    ( spl0_76
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1400,plain,
    ( c0_1(a112)
    | ~ c2_1(a112)
    | ~ spl0_31
    | ~ spl0_76 ),
    inference(resolution,[],[f324,f530]) ).

fof(f530,plain,
    ( c3_1(a112)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f324,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1393,plain,
    ( spl0_77
    | spl0_96
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1379,f773,f307,f629,f533]) ).

fof(f533,plain,
    ( spl0_77
  <=> c1_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f629,plain,
    ( spl0_96
  <=> c3_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f773,plain,
    ( spl0_121
  <=> c2_1(a124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1379,plain,
    ( c3_1(a124)
    | c1_1(a124)
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(resolution,[],[f308,f775]) ).

fof(f775,plain,
    ( c2_1(a124)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f1368,plain,
    ( spl0_165
    | spl0_143
    | ~ spl0_59
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1257,f888,f449,f911,f1084]) ).

fof(f1084,plain,
    ( spl0_165
  <=> c3_1(a122) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1257,plain,
    ( c2_1(a122)
    | c3_1(a122)
    | ~ spl0_59
    | ~ spl0_140 ),
    inference(resolution,[],[f450,f890]) ).

fof(f1361,plain,
    ( spl0_97
    | spl0_143
    | ~ spl0_19
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1355,f1084,f276,f911,f634]) ).

fof(f1355,plain,
    ( c2_1(a122)
    | c1_1(a122)
    | ~ spl0_19
    | ~ spl0_165 ),
    inference(resolution,[],[f277,f1086]) ).

fof(f1086,plain,
    ( c3_1(a122)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1350,plain,
    ( ~ spl0_147
    | spl0_148
    | ~ spl0_9
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1344,f1118,f235,f939,f933]) ).

fof(f939,plain,
    ( spl0_148
  <=> c0_1(a104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f235,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1344,plain,
    ( c0_1(a104)
    | ~ c2_1(a104)
    | ~ spl0_9
    | ~ spl0_167 ),
    inference(resolution,[],[f236,f1120]) ).

fof(f1120,plain,
    ( c1_1(a104)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f1348,plain,
    ( spl0_139
    | ~ spl0_155
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1334,f347,f235,f992,f882]) ).

fof(f347,plain,
    ( spl0_36
  <=> c1_1(a173) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1334,plain,
    ( ~ c2_1(a173)
    | c0_1(a173)
    | ~ spl0_9
    | ~ spl0_36 ),
    inference(resolution,[],[f236,f349]) ).

fof(f349,plain,
    ( c1_1(a173)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1346,plain,
    ( spl0_174
    | ~ spl0_128
    | ~ spl0_9
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1343,f327,f235,f811,f1306]) ).

fof(f1306,plain,
    ( spl0_174
  <=> c0_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1343,plain,
    ( ~ c2_1(a105)
    | c0_1(a105)
    | ~ spl0_9
    | ~ spl0_32 ),
    inference(resolution,[],[f236,f329]) ).

fof(f1345,plain,
    ( ~ spl0_80
    | spl0_58
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1342,f751,f235,f444,f547]) ).

fof(f547,plain,
    ( spl0_80
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f444,plain,
    ( spl0_58
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f751,plain,
    ( spl0_117
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1342,plain,
    ( c0_1(a108)
    | ~ c2_1(a108)
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(resolution,[],[f236,f753]) ).

fof(f753,plain,
    ( c1_1(a108)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f1330,plain,
    ( spl0_176
    | ~ spl0_134
    | ~ spl0_56
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1322,f763,f435,f849,f1326]) ).

fof(f849,plain,
    ( spl0_134
  <=> c0_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f435,plain,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1322,plain,
    ( ~ c0_1(a137)
    | c3_1(a137)
    | ~ spl0_56
    | ~ spl0_119 ),
    inference(resolution,[],[f765,f436]) ).

fof(f436,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1329,plain,
    ( ~ spl0_176
    | ~ spl0_138
    | ~ spl0_20
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1324,f763,f279,f877,f1326]) ).

fof(f1324,plain,
    ( ~ c2_1(a137)
    | ~ c3_1(a137)
    | ~ spl0_20
    | ~ spl0_119 ),
    inference(resolution,[],[f765,f280]) ).

fof(f1309,plain,
    ( spl0_89
    | ~ spl0_174
    | ~ spl0_32
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1302,f435,f327,f1306,f595]) ).

fof(f1302,plain,
    ( ~ c0_1(a105)
    | c3_1(a105)
    | ~ spl0_32
    | ~ spl0_56 ),
    inference(resolution,[],[f329,f436]) ).

fof(f1281,plain,
    ( spl0_83
    | ~ spl0_156
    | ~ spl0_61
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1271,f706,f456,f997,f564]) ).

fof(f564,plain,
    ( spl0_83
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f456,plain,
    ( spl0_61
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1271,plain,
    ( ~ c0_1(a130)
    | c2_1(a130)
    | ~ spl0_61
    | ~ spl0_110 ),
    inference(resolution,[],[f457,f708]) ).

fof(f457,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1279,plain,
    ( ~ spl0_12
    | spl0_104
    | ~ spl0_61
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1273,f975,f456,f673,f246]) ).

fof(f246,plain,
    ( spl0_12
  <=> c0_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f673,plain,
    ( spl0_104
  <=> c2_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f975,plain,
    ( spl0_153
  <=> c1_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1273,plain,
    ( c2_1(a113)
    | ~ c0_1(a113)
    | ~ spl0_61
    | ~ spl0_153 ),
    inference(resolution,[],[f457,f977]) ).

fof(f977,plain,
    ( c1_1(a113)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1251,plain,
    ( ~ spl0_140
    | spl0_97
    | ~ spl0_38
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1248,f1084,f355,f634,f888]) ).

fof(f355,plain,
    ( spl0_38
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1248,plain,
    ( c1_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_38
    | ~ spl0_165 ),
    inference(resolution,[],[f1086,f356]) ).

fof(f356,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1235,plain,
    ( spl0_83
    | ~ spl0_156
    | ~ spl0_57
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1230,f653,f440,f997,f564]) ).

fof(f440,plain,
    ( spl0_57
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1230,plain,
    ( ~ c0_1(a130)
    | c2_1(a130)
    | ~ spl0_57
    | ~ spl0_101 ),
    inference(resolution,[],[f441,f655]) ).

fof(f655,plain,
    ( c3_1(a130)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f441,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1234,plain,
    ( ~ spl0_25
    | spl0_68
    | ~ spl0_57
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1229,f639,f440,f488,f299]) ).

fof(f299,plain,
    ( spl0_25
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f488,plain,
    ( spl0_68
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f639,plain,
    ( spl0_98
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1229,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_57
    | ~ spl0_98 ),
    inference(resolution,[],[f441,f641]) ).

fof(f641,plain,
    ( c3_1(a138)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f1212,plain,
    ( spl0_72
    | spl0_168
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1203,f788,f238,f1132,f508]) ).

fof(f1132,plain,
    ( spl0_168
  <=> c0_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f238,plain,
    ( spl0_10
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1203,plain,
    ( c0_1(a110)
    | c2_1(a110)
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(resolution,[],[f239,f790]) ).

fof(f239,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1206,plain,
    ( spl0_15
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1205,f320,f238,f259]) ).

fof(f320,plain,
    ( spl0_30
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1205,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1195]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c2_1(X0) )
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(resolution,[],[f239,f321]) ).

fof(f321,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1194,plain,
    ( spl0_42
    | ~ spl0_150
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1191,f569,f435,f958,f371]) ).

fof(f371,plain,
    ( spl0_42
  <=> c3_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f958,plain,
    ( spl0_150
  <=> c0_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f569,plain,
    ( spl0_84
  <=> c1_1(a116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1191,plain,
    ( ~ c0_1(a116)
    | c3_1(a116)
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(resolution,[],[f571,f436]) ).

fof(f571,plain,
    ( c1_1(a116)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f1189,plain,
    ( ~ spl0_168
    | spl0_34
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1185,f788,f435,f338,f1132]) ).

fof(f1185,plain,
    ( c3_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(resolution,[],[f436,f790]) ).

fof(f1188,plain,
    ( spl0_169
    | ~ spl0_12
    | ~ spl0_56
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1184,f975,f435,f246,f1154]) ).

fof(f1154,plain,
    ( spl0_169
  <=> c3_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1184,plain,
    ( ~ c0_1(a113)
    | c3_1(a113)
    | ~ spl0_56
    | ~ spl0_153 ),
    inference(resolution,[],[f436,f977]) ).

fof(f1159,plain,
    ( spl0_83
    | ~ spl0_101
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1147,f706,f363,f653,f564]) ).

fof(f363,plain,
    ( spl0_40
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1147,plain,
    ( ~ c3_1(a130)
    | c2_1(a130)
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f364,f708]) ).

fof(f364,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f1158,plain,
    ( ~ spl0_98
    | spl0_68
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1146,f1012,f363,f488,f639]) ).

fof(f1012,plain,
    ( spl0_158
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1146,plain,
    ( c2_1(a138)
    | ~ c3_1(a138)
    | ~ spl0_40
    | ~ spl0_158 ),
    inference(resolution,[],[f364,f1014]) ).

fof(f1014,plain,
    ( c1_1(a138)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1157,plain,
    ( spl0_104
    | ~ spl0_169
    | ~ spl0_40
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1148,f975,f363,f1154,f673]) ).

fof(f1148,plain,
    ( ~ c3_1(a113)
    | c2_1(a113)
    | ~ spl0_40
    | ~ spl0_153 ),
    inference(resolution,[],[f364,f977]) ).

fof(f1152,plain,
    ( spl0_160
    | ~ spl0_108
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1143,f470,f363,f694,f1038]) ).

fof(f1143,plain,
    ( ~ c3_1(a101)
    | c2_1(a101)
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(resolution,[],[f364,f472]) ).

fof(f1121,plain,
    ( spl0_148
    | spl0_167
    | ~ spl0_26
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1116,f933,f304,f1118,f939]) ).

fof(f304,plain,
    ( spl0_26
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1116,plain,
    ( c1_1(a104)
    | c0_1(a104)
    | ~ spl0_26
    | ~ spl0_147 ),
    inference(resolution,[],[f935,f305]) ).

fof(f305,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f1115,plain,
    ( spl0_157
    | spl0_126
    | ~ spl0_37
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1111,f528,f352,f800,f1007]) ).

fof(f1111,plain,
    ( c0_1(a112)
    | c2_1(a112)
    | ~ spl0_37
    | ~ spl0_76 ),
    inference(resolution,[],[f353,f530]) ).

fof(f1104,plain,
    ( ~ spl0_118
    | spl0_116
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1102,f719,f323,f744,f756]) ).

fof(f756,plain,
    ( spl0_118
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f744,plain,
    ( spl0_116
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f719,plain,
    ( spl0_112
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1102,plain,
    ( c0_1(a106)
    | ~ c2_1(a106)
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(resolution,[],[f324,f721]) ).

fof(f721,plain,
    ( c3_1(a106)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1096,plain,
    ( spl0_126
    | spl0_149
    | ~ spl0_26
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1095,f1007,f304,f951,f800]) ).

fof(f951,plain,
    ( spl0_149
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1095,plain,
    ( c1_1(a112)
    | c0_1(a112)
    | ~ spl0_26
    | ~ spl0_157 ),
    inference(resolution,[],[f1009,f305]) ).

fof(f1009,plain,
    ( c2_1(a112)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1088,plain,
    ( spl0_51
    | spl0_105
    | ~ spl0_30
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1076,f778,f320,f679,f411]) ).

fof(f411,plain,
    ( spl0_51
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f679,plain,
    ( spl0_105
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f778,plain,
    ( spl0_122
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1076,plain,
    ( c3_1(a132)
    | c2_1(a132)
    | ~ spl0_30
    | spl0_122 ),
    inference(resolution,[],[f321,f780]) ).

fof(f780,plain,
    ( ~ c1_1(a132)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f1087,plain,
    ( spl0_165
    | spl0_143
    | ~ spl0_30
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1072,f634,f320,f911,f1084]) ).

fof(f1072,plain,
    ( c2_1(a122)
    | c3_1(a122)
    | ~ spl0_30
    | spl0_97 ),
    inference(resolution,[],[f321,f636]) ).

fof(f636,plain,
    ( ~ c1_1(a122)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1027,plain,
    ( spl0_152
    | spl0_43
    | ~ spl0_26
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1026,f600,f304,f376,f970]) ).

fof(f970,plain,
    ( spl0_152
  <=> c1_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f376,plain,
    ( spl0_43
  <=> c0_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f600,plain,
    ( spl0_90
  <=> c2_1(a99) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1026,plain,
    ( c0_1(a99)
    | c1_1(a99)
    | ~ spl0_26
    | ~ spl0_90 ),
    inference(resolution,[],[f305,f602]) ).

fof(f602,plain,
    ( c2_1(a99)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1015,plain,
    ( spl0_158
    | spl0_68
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1001,f639,f276,f488,f1012]) ).

fof(f1001,plain,
    ( c2_1(a138)
    | c1_1(a138)
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(resolution,[],[f277,f641]) ).

fof(f1010,plain,
    ( spl0_157
    | spl0_149
    | ~ spl0_19
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1003,f528,f276,f951,f1007]) ).

fof(f1003,plain,
    ( c1_1(a112)
    | c2_1(a112)
    | ~ spl0_19
    | ~ spl0_76 ),
    inference(resolution,[],[f277,f530]) ).

fof(f1000,plain,
    ( spl0_83
    | spl0_156
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f989,f706,f238,f997,f564]) ).

fof(f989,plain,
    ( c0_1(a130)
    | c2_1(a130)
    | ~ spl0_10
    | ~ spl0_110 ),
    inference(resolution,[],[f239,f708]) ).

fof(f995,plain,
    ( spl0_155
    | spl0_139
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f988,f347,f238,f882,f992]) ).

fof(f988,plain,
    ( c0_1(a173)
    | c2_1(a173)
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(resolution,[],[f239,f349]) ).

fof(f982,plain,
    ( spl0_50
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f981,f730,f223,f210,f406]) ).

fof(f406,plain,
    ( spl0_50
  <=> c1_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f210,plain,
    ( spl0_3
  <=> c0_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f223,plain,
    ( spl0_6
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f730,plain,
    ( spl0_114
  <=> c2_1(a129) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f981,plain,
    ( ~ c0_1(a129)
    | c1_1(a129)
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(resolution,[],[f224,f732]) ).

fof(f732,plain,
    ( c2_1(a129)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f978,plain,
    ( spl0_153
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f69,f242,f975]) ).

fof(f242,plain,
    ( spl0_11
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f973,plain,
    ( ~ spl0_44
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f128,f970,f380]) ).

fof(f380,plain,
    ( spl0_44
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f128,axiom,
    ( ~ c1_1(a99)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f961,plain,
    ( ~ spl0_41
    | spl0_150 ),
    inference(avatar_split_clause,[],[f66,f958,f367]) ).

fof(f367,plain,
    ( spl0_41
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f66,axiom,
    ( c0_1(a116)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f955,plain,
    ( spl0_29
    | ~ spl0_1
    | spl0_21
    | spl0_31 ),
    inference(avatar_split_clause,[],[f151,f323,f283,f201,f316]) ).

fof(f316,plain,
    ( spl0_29
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f201,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f283,plain,
    ( spl0_21
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c0_1(X0)
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f954,plain,
    ( ~ spl0_149
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f115,f255,f951]) ).

fof(f255,plain,
    ( spl0_14
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f115,axiom,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f949,plain,
    ( spl0_1
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f12,f503,f201]) ).

fof(f503,plain,
    ( spl0_71
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f12,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f948,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(avatar_split_clause,[],[f14,f201,f316]) ).

fof(f14,axiom,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f943,plain,
    ( spl0_13
    | spl0_41
    | ~ spl0_1
    | spl0_37 ),
    inference(avatar_split_clause,[],[f139,f352,f201,f367,f251]) ).

fof(f251,plain,
    ( spl0_13
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp13
      | hskp5
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f942,plain,
    ( ~ spl0_148
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f251,f939]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f936,plain,
    ( spl0_147
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f79,f251,f933]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c2_1(a104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f925,plain,
    ( ~ spl0_1
    | spl0_16
    | spl0_31
    | spl0_9 ),
    inference(avatar_split_clause,[],[f177,f235,f323,f263,f201]) ).

fof(f263,plain,
    ( spl0_16
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | hskp15
      | ~ c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f924,plain,
    ( ~ spl0_13
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f124,f921,f251]) ).

fof(f124,axiom,
    ( ~ c3_1(a104)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f914,plain,
    ( ~ spl0_18
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f105,f911,f271]) ).

fof(f271,plain,
    ( spl0_18
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f105,axiom,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f909,plain,
    ( spl0_4
    | spl0_71
    | spl0_29 ),
    inference(avatar_split_clause,[],[f36,f316,f503,f214]) ).

fof(f214,plain,
    ( spl0_4
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f36,axiom,
    ( hskp17
    | hskp19
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f903,plain,
    ( spl0_52
    | spl0_61
    | ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f154,f219,f201,f456,f415]) ).

fof(f415,plain,
    ( spl0_52
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f219,plain,
    ( spl0_5
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f154,axiom,
    ! [X0] :
      ( hskp7
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f901,plain,
    ( spl0_4
    | spl0_14
    | ~ spl0_1
    | spl0_59 ),
    inference(avatar_split_clause,[],[f147,f449,f201,f255,f214]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | hskp11
      | c2_1(X0)
      | c3_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f900,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_56
    | spl0_71 ),
    inference(avatar_split_clause,[],[f156,f503,f435,f474,f201]) ).

fof(f474,plain,
    ( spl0_65
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f156,axiom,
    ! [X0] :
      ( hskp19
      | ~ c0_1(X0)
      | hskp27
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f898,plain,
    ( spl0_6
    | spl0_22
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f201,f435,f287,f223]) ).

fof(f287,plain,
    ( spl0_22
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X0)
      | hskp1
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f891,plain,
    ( ~ spl0_18
    | spl0_140 ),
    inference(avatar_split_clause,[],[f65,f888,f271]) ).

fof(f65,axiom,
    ( c0_1(a122)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f886,plain,
    ( spl0_17
    | ~ spl0_1
    | spl0_56 ),
    inference(avatar_split_clause,[],[f150,f435,f201,f267]) ).

fof(f267,plain,
    ( spl0_17
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f885,plain,
    ( ~ spl0_35
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f88,f882,f343]) ).

fof(f343,plain,
    ( spl0_35
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f88,axiom,
    ( ~ c0_1(a173)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f880,plain,
    ( spl0_138
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f48,f385,f877]) ).

fof(f385,plain,
    ( spl0_45
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c2_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f867,plain,
    ( spl0_52
    | spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f35,f214,f226,f415]) ).

fof(f226,plain,
    ( spl0_7
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f35,axiom,
    ( hskp18
    | hskp4
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f864,plain,
    ( spl0_136
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f86,f498,f861]) ).

fof(f498,plain,
    ( spl0_70
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c0_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f859,plain,
    ( spl0_8
    | ~ spl0_1
    | spl0_40
    | spl0_15 ),
    inference(avatar_split_clause,[],[f165,f259,f363,f201,f231]) ).

fof(f231,plain,
    ( spl0_8
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp10
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f858,plain,
    ( spl0_4
    | ~ spl0_1
    | spl0_30
    | spl0_71 ),
    inference(avatar_split_clause,[],[f135,f503,f320,f201,f214]) ).

fof(f135,axiom,
    ! [X0] :
      ( hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp18
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f857,plain,
    ( ~ spl0_135
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f129,f287,f854]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f852,plain,
    ( spl0_134
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f46,f385,f849]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c0_1(a137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f839,plain,
    ( ~ spl0_55
    | spl0_132 ),
    inference(avatar_split_clause,[],[f74,f836,f431]) ).

fof(f431,plain,
    ( spl0_55
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f74,axiom,
    ( c3_1(a107)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f832,plain,
    ( spl0_131
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f81,f226,f829]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c2_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f825,plain,
    ( ~ spl0_1
    | spl0_27
    | spl0_20
    | spl0_6 ),
    inference(avatar_split_clause,[],[f197,f223,f279,f307,f201]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f824,plain,
    ( ~ spl0_130
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f95,f333,f821]) ).

fof(f333,plain,
    ( spl0_33
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f95,axiom,
    ( ~ hskp21
    | ~ c1_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f814,plain,
    ( ~ spl0_17
    | spl0_128 ),
    inference(avatar_split_clause,[],[f78,f811,f267]) ).

fof(f78,axiom,
    ( c2_1(a105)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f809,plain,
    ( ~ spl0_127
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f131,f498,f806]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f803,plain,
    ( ~ spl0_14
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f114,f800,f255]) ).

fof(f114,axiom,
    ( ~ c0_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f798,plain,
    ( spl0_11
    | ~ spl0_1
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f170,f238,f235,f201,f242]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f797,plain,
    ( ~ spl0_33
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f96,f794,f333]) ).

fof(f96,axiom,
    ( ~ c2_1(a136)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f792,plain,
    ( spl0_41
    | spl0_11 ),
    inference(avatar_split_clause,[],[f1,f242,f367]) ).

fof(f1,axiom,
    ( hskp12
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f791,plain,
    ( ~ spl0_8
    | spl0_124 ),
    inference(avatar_split_clause,[],[f71,f788,f231]) ).

fof(f71,axiom,
    ( c1_1(a110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f782,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f13,f201,f214]) ).

fof(f13,axiom,
    ( ndr1_0
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f781,plain,
    ( ~ spl0_122
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f97,f415,f778]) ).

fof(f97,axiom,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f776,plain,
    ( spl0_121
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f64,f316,f773]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c2_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f771,plain,
    ( ~ spl0_120
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f119,f431,f768]) ).

fof(f119,axiom,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f766,plain,
    ( ~ spl0_45
    | spl0_119 ),
    inference(avatar_split_clause,[],[f47,f763,f385]) ).

fof(f47,axiom,
    ( c1_1(a137)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f761,plain,
    ( spl0_6
    | spl0_75
    | ~ spl0_1
    | spl0_39 ),
    inference(avatar_split_clause,[],[f196,f360,f201,f524,f223]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f759,plain,
    ( ~ spl0_5
    | spl0_118 ),
    inference(avatar_split_clause,[],[f75,f756,f219]) ).

fof(f75,axiom,
    ( c2_1(a106)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f754,plain,
    ( ~ spl0_21
    | spl0_117 ),
    inference(avatar_split_clause,[],[f72,f751,f283]) ).

fof(f72,axiom,
    ( c1_1(a108)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f748,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_35
    | spl0_39 ),
    inference(avatar_split_clause,[],[f158,f360,f343,f271,f201]) ).

fof(f158,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp25
      | hskp16
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f747,plain,
    ( ~ spl0_5
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f121,f744,f219]) ).

fof(f121,axiom,
    ( ~ c0_1(a106)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f741,plain,
    ( spl0_33
    | spl0_75
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f201,f380,f524,f333]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f735,plain,
    ( ~ spl0_1
    | spl0_16
    | spl0_39
    | spl0_30 ),
    inference(avatar_split_clause,[],[f167,f320,f360,f263,f201]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp15
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f733,plain,
    ( ~ spl0_4
    | spl0_114 ),
    inference(avatar_split_clause,[],[f63,f730,f214]) ).

fof(f63,axiom,
    ( c2_1(a129)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f722,plain,
    ( spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f76,f219,f719]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c3_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f716,plain,
    ( ~ spl0_16
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f106,f713,f263]) ).

fof(f106,axiom,
    ( ~ c0_1(a121)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f711,plain,
    ( ~ spl0_1
    | spl0_56
    | spl0_70 ),
    inference(avatar_split_clause,[],[f149,f498,f435,f201]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f709,plain,
    ( ~ spl0_71
    | spl0_110 ),
    inference(avatar_split_clause,[],[f60,f706,f503]) ).

fof(f60,axiom,
    ( c1_1(a130)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f703,plain,
    ( ~ spl0_109
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f108,f263,f700]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f697,plain,
    ( ~ spl0_65
    | spl0_108 ),
    inference(avatar_split_clause,[],[f51,f694,f474]) ).

fof(f51,axiom,
    ( c3_1(a101)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f682,plain,
    ( ~ spl0_52
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f99,f679,f415]) ).

fof(f99,axiom,
    ( ~ c3_1(a132)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f677,plain,
    ( ~ spl0_1
    | spl0_75
    | spl0_27
    | spl0_7 ),
    inference(avatar_split_clause,[],[f168,f226,f307,f524,f201]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( hskp4
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f676,plain,
    ( ~ spl0_11
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f113,f673,f242]) ).

fof(f113,axiom,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f665,plain,
    ( spl0_4
    | spl0_55
    | spl0_41 ),
    inference(avatar_split_clause,[],[f34,f367,f431,f214]) ).

fof(f34,axiom,
    ( hskp13
    | hskp8
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f664,plain,
    ( ~ spl0_102
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f130,f287,f661]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f659,plain,
    ( ~ spl0_1
    | spl0_61
    | spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f191,f323,f259,f456,f201]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f656,plain,
    ( ~ spl0_71
    | spl0_101 ),
    inference(avatar_split_clause,[],[f61,f653,f503]) ).

fof(f61,axiom,
    ( c3_1(a130)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f647,plain,
    ( ~ spl0_99
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f120,f431,f644]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f642,plain,
    ( ~ spl0_24
    | spl0_98 ),
    inference(avatar_split_clause,[],[f58,f639,f295]) ).

fof(f295,plain,
    ( spl0_24
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f58,axiom,
    ( c3_1(a138)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f637,plain,
    ( ~ spl0_97
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f104,f271,f634]) ).

fof(f104,axiom,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f632,plain,
    ( ~ spl0_96
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f103,f316,f629]) ).

fof(f103,axiom,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f626,plain,
    ( spl0_95
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f85,f287,f623]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c0_1(a98) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f603,plain,
    ( spl0_90
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f84,f380,f600]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c2_1(a99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f598,plain,
    ( ~ spl0_17
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f122,f595,f267]) ).

fof(f122,axiom,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f593,plain,
    ( spl0_70
    | spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f38,f295,f255,f498]) ).

fof(f38,axiom,
    ( hskp22
    | hskp11
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f583,plain,
    ( ~ spl0_1
    | spl0_59
    | spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f148,f380,f271,f449,f201]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp2
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f572,plain,
    ( spl0_84
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f67,f367,f569]) ).

fof(f67,axiom,
    ( ~ hskp13
    | c1_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f567,plain,
    ( ~ spl0_83
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f100,f503,f564]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f562,plain,
    ( spl0_26
    | spl0_17
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f201,f219,f267,f304]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f550,plain,
    ( ~ spl0_21
    | spl0_80 ),
    inference(avatar_split_clause,[],[f73,f547,f283]) ).

fof(f73,axiom,
    ( c2_1(a108)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f536,plain,
    ( ~ spl0_77
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f102,f316,f533]) ).

fof(f102,axiom,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f531,plain,
    ( ~ spl0_14
    | spl0_76 ),
    inference(avatar_split_clause,[],[f70,f528,f255]) ).

fof(f70,axiom,
    ( c3_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f526,plain,
    ( ~ spl0_1
    | spl0_52
    | spl0_75
    | spl0_38 ),
    inference(avatar_split_clause,[],[f175,f355,f524,f415,f201]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X1)
      | hskp20
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f522,plain,
    ( spl0_22
    | ~ spl0_1
    | spl0_27
    | spl0_71 ),
    inference(avatar_split_clause,[],[f145,f503,f307,f201,f287]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp19
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp1
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f521,plain,
    ( ~ spl0_74
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f89,f343,f518]) ).

fof(f89,axiom,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f516,plain,
    ( spl0_73
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f59,f333,f513]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c3_1(a136) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f511,plain,
    ( ~ spl0_72
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f116,f231,f508]) ).

fof(f116,axiom,
    ( ~ hskp10
    | ~ c2_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f506,plain,
    ( spl0_40
    | spl0_38
    | spl0_71
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f201,f503,f355,f363]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f501,plain,
    ( ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f132,f498,f494]) ).

fof(f132,axiom,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f492,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_27
    | spl0_33 ),
    inference(avatar_split_clause,[],[f144,f333,f307,f295,f201]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp21
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | hskp22
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f491,plain,
    ( ~ spl0_24
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f94,f488,f295]) ).

fof(f94,axiom,
    ( ~ c2_1(a138)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f477,plain,
    ( spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f50,f474,f470]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c1_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f459,plain,
    ( spl0_45
    | spl0_24
    | spl0_7 ),
    inference(avatar_split_clause,[],[f32,f226,f295,f385]) ).

fof(f32,axiom,
    ( hskp4
    | hskp22
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f458,plain,
    ( spl0_45
    | ~ spl0_1
    | spl0_61
    | spl0_19 ),
    inference(avatar_split_clause,[],[f176,f276,f456,f201,f385]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c2_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f454,plain,
    ( spl0_59
    | spl0_60
    | spl0_40
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f201,f363,f452,f449]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f447,plain,
    ( ~ spl0_58
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f118,f283,f444]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f442,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_5
    | spl0_57 ),
    inference(avatar_split_clause,[],[f155,f440,f219,f226,f201]) ).

fof(f155,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp7
      | ~ c3_1(X0)
      | hskp4
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f437,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_4
    | spl0_56 ),
    inference(avatar_split_clause,[],[f157,f435,f214,f431,f201]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | hskp18
      | hskp8
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f424,plain,
    ( ~ spl0_16
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f107,f421,f263]) ).

fof(f107,axiom,
    ( ~ c2_1(a121)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f419,plain,
    ( spl0_9
    | ~ spl0_1
    | spl0_18
    | spl0_39 ),
    inference(avatar_split_clause,[],[f178,f360,f271,f201,f235]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | hskp16
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f418,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f98,f415,f411]) ).

fof(f98,axiom,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f409,plain,
    ( ~ spl0_50
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f101,f214,f406]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f404,plain,
    ( spl0_19
    | spl0_37
    | ~ spl0_1
    | spl0_49 ),
    inference(avatar_split_clause,[],[f192,f402,f201,f352,f276]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X0)
      | ~ c3_1(X2)
      | c2_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f400,plain,
    ( spl0_48
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f80,f226,f397]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f395,plain,
    ( spl0_46
    | ~ spl0_1
    | spl0_30
    | spl0_47 ),
    inference(avatar_split_clause,[],[f189,f393,f320,f201,f390]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f383,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f127,f380,f376]) ).

fof(f127,axiom,
    ( ~ hskp2
    | ~ c0_1(a99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f374,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f112,f371,f367]) ).

fof(f112,axiom,
    ( ~ c3_1(a116)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f365,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_1
    | spl0_40 ),
    inference(avatar_split_clause,[],[f183,f363,f201,f360,f255]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | hskp11
      | c2_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f350,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f54,f347,f343]) ).

fof(f54,axiom,
    ( c1_1(a173)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f341,plain,
    ( ~ spl0_8
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f117,f338,f231]) ).

fof(f117,axiom,
    ( ~ c3_1(a110)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f330,plain,
    ( spl0_32
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f77,f267,f327]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c1_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f325,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f166,f323,f320,f316,f201]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | hskp17
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f314,plain,
    ( ~ spl0_28
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f125,f226,f311]) ).

fof(f125,axiom,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f309,plain,
    ( spl0_22
    | ~ spl0_1
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f163,f307,f304,f201,f287]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | hskp1
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f302,plain,
    ( ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f57,f299,f295]) ).

fof(f57,axiom,
    ( c0_1(a138)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f281,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_10
    | spl0_20 ),
    inference(avatar_split_clause,[],[f195,f279,f238,f276,f201]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f274,plain,
    ( spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f40,f271,f267,f263]) ).

fof(f40,axiom,
    ( hskp16
    | hskp6
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f261,plain,
    ( spl0_13
    | ~ spl0_1
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f134,f259,f255,f201,f251]) ).

fof(f134,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | hskp11
      | ~ ndr1_0
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f249,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f68,f246,f242]) ).

fof(f68,axiom,
    ( c0_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f240,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f238,f235,f231,f201]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | hskp10
      | c0_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f229,plain,
    ( spl0_5
    | ~ spl0_1
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f152,f226,f223,f201,f219]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp4
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f217,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f62,f214,f210]) ).

fof(f62,axiom,
    ( ~ hskp18
    | c0_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN501-1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:55:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.55  % (28511)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (28530)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)
% 0.19/0.56  % (28513)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)
% 0.19/0.57  % (28522)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)
% 0.19/0.58  % (28514)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58  % (28536)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)
% 0.19/0.58  % (28528)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.59  % (28529)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)
% 1.85/0.59  % (28520)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.59  Detected maximum model sizes of [30]
% 1.85/0.59  TRYING [1]
% 1.85/0.59  TRYING [2]
% 1.85/0.59  % (28516)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)
% 1.85/0.59  TRYING [3]
% 1.85/0.59  % (28514)Instruction limit reached!
% 1.85/0.59  % (28514)------------------------------
% 1.85/0.59  % (28514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (28514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (28514)Termination reason: Unknown
% 1.85/0.59  % (28514)Termination phase: Saturation
% 1.85/0.59  
% 1.85/0.59  % (28514)Memory used [KB]: 6012
% 1.85/0.59  % (28514)Time elapsed: 0.103 s
% 1.85/0.59  % (28514)Instructions burned: 8 (million)
% 1.85/0.59  % (28514)------------------------------
% 1.85/0.59  % (28514)------------------------------
% 1.85/0.60  % (28521)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)
% 1.85/0.61  % (28508)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)
% 2.05/0.61  % (28517)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.05/0.61  % (28519)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.05/0.62  % (28507)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)
% 2.05/0.62  TRYING [4]
% 2.05/0.63  % (28509)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)
% 2.05/0.63  % (28512)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)
% 2.05/0.63  % (28510)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)
% 2.05/0.64  % (28524)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.05/0.64  % (28534)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)
% 2.05/0.65  % (28526)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)
% 2.05/0.65  % (28535)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.05/0.65  % (28533)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)
% 2.05/0.65  % (28531)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.05/0.65  % (28523)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)
% 2.05/0.65  % (28525)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.05/0.65  % (28527)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)
% 2.38/0.65  % (28518)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)
% 2.38/0.66  % (28532)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.38/0.66  % (28536)First to succeed.
% 2.38/0.66  % (28511)Instruction limit reached!
% 2.38/0.66  % (28511)------------------------------
% 2.38/0.66  % (28511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.67  % (28515)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.38/0.67  % (28513)Instruction limit reached!
% 2.38/0.67  % (28513)------------------------------
% 2.38/0.67  % (28513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.67  % (28513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.67  % (28513)Termination reason: Unknown
% 2.38/0.67  % (28513)Termination phase: Finite model building SAT solving
% 2.38/0.67  
% 2.38/0.67  % (28513)Memory used [KB]: 6140
% 2.38/0.67  % (28513)Time elapsed: 0.195 s
% 2.38/0.67  % (28513)Instructions burned: 52 (million)
% 2.38/0.67  % (28513)------------------------------
% 2.38/0.67  % (28513)------------------------------
% 2.38/0.67  % (28511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.67  % (28511)Termination reason: Unknown
% 2.38/0.67  % (28511)Termination phase: Saturation
% 2.38/0.67  
% 2.38/0.67  % (28511)Memory used [KB]: 6780
% 2.38/0.67  % (28511)Time elapsed: 0.240 s
% 2.38/0.67  % (28511)Instructions burned: 51 (million)
% 2.38/0.67  % (28511)------------------------------
% 2.38/0.67  % (28511)------------------------------
% 2.38/0.68  Detected maximum model sizes of [30]
% 2.38/0.68  TRYING [1]
% 2.38/0.68  TRYING [2]
% 2.38/0.68  TRYING [3]
% 2.38/0.69  % (28515)Instruction limit reached!
% 2.38/0.69  % (28515)------------------------------
% 2.38/0.69  % (28515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69  % (28515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69  % (28515)Termination reason: Unknown
% 2.38/0.69  % (28515)Termination phase: Blocked clause elimination
% 2.38/0.69  
% 2.38/0.69  % (28515)Memory used [KB]: 1151
% 2.38/0.69  % (28515)Time elapsed: 0.003 s
% 2.38/0.69  % (28515)Instructions burned: 3 (million)
% 2.38/0.69  % (28515)------------------------------
% 2.38/0.69  % (28515)------------------------------
% 2.38/0.69  Detected maximum model sizes of [30]
% 2.38/0.69  TRYING [1]
% 2.38/0.69  TRYING [2]
% 2.38/0.69  % (28530)Also succeeded, but the first one will report.
% 2.38/0.69  % (28536)Refutation found. Thanks to Tanya!
% 2.38/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.38/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.70  % (28536)------------------------------
% 2.38/0.70  % (28536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (28536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (28536)Termination reason: Refutation
% 2.38/0.70  
% 2.38/0.70  % (28536)Memory used [KB]: 6524
% 2.38/0.70  % (28536)Time elapsed: 0.238 s
% 2.38/0.70  % (28536)Instructions burned: 26 (million)
% 2.38/0.70  % (28536)------------------------------
% 2.38/0.70  % (28536)------------------------------
% 2.38/0.70  % (28506)Success in time 0.348 s
%------------------------------------------------------------------------------