TSTP Solution File: SYN442-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN442-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:19 EDT 2024

% Result   : Unsatisfiable 0.14s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  242
% Syntax   : Number of formulae    :  652 (   1 unt;   0 def)
%            Number of atoms       : 2101 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2527 (1078   ~;1317   |;   0   &)
%                                         ( 132 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  163 ( 162 usr; 159 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  118 ( 118   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3560,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f238,f248,f253,f273,f313,f348,f368,f373,f393,f398,f403,f413,f418,f428,f433,f443,f448,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f793,f798,f803,f808,f809,f811,f812,f817,f821,f825,f837,f841,f842,f855,f859,f876,f877,f881,f888,f896,f900,f901,f911,f926,f927,f931,f932,f933,f934,f935,f936,f937,f942,f943,f944,f951,f952,f953,f957,f958,f999,f1003,f1024,f1035,f1078,f1088,f1091,f1116,f1124,f1156,f1191,f1223,f1240,f1324,f1527,f1546,f1547,f1681,f1697,f1729,f1809,f1812,f1839,f1942,f1967,f2030,f2094,f2205,f2273,f2278,f2311,f2358,f2370,f2436,f2508,f2776,f2848,f2854,f2881,f2994,f3016,f3018,f3022,f3043,f3192,f3195,f3202,f3203,f3288,f3313,f3340,f3343,f3403,f3411,f3447,f3450,f3559]) ).

fof(f3559,plain,
    ( spl0_14
    | spl0_18
    | ~ spl0_151
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f3558]) ).

fof(f3558,plain,
    ( $false
    | spl0_14
    | spl0_18
    | ~ spl0_151
    | spl0_159 ),
    inference(subsumption_resolution,[],[f3557,f1276]) ).

fof(f1276,plain,
    ( ~ c2_1(a145)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1274,plain,
    ( spl0_159
  <=> c2_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3557,plain,
    ( c2_1(a145)
    | spl0_14
    | spl0_18
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3553,f272]) ).

fof(f272,plain,
    ( ~ c0_1(a145)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_18
  <=> c0_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f3553,plain,
    ( c0_1(a145)
    | c2_1(a145)
    | spl0_14
    | ~ spl0_151 ),
    inference(resolution,[],[f930,f252]) ).

fof(f252,plain,
    ( ~ c3_1(a145)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_14
  <=> c3_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f930,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_151
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3450,plain,
    ( ~ spl0_118
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3449]) ).

fof(f3449,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3448,f782]) ).

fof(f782,plain,
    ( c3_1(a131)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_120
  <=> c3_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3448,plain,
    ( ~ c3_1(a131)
    | ~ spl0_118
    | ~ spl0_128
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3441,f2356]) ).

fof(f2356,plain,
    ( c0_1(a131)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2354]) ).

fof(f2354,plain,
    ( spl0_169
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f3441,plain,
    ( ~ c0_1(a131)
    | ~ c3_1(a131)
    | ~ spl0_118
    | ~ spl0_128 ),
    inference(resolution,[],[f824,f772]) ).

fof(f772,plain,
    ( c1_1(a131)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_118
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f824,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3447,plain,
    ( ~ spl0_42
    | ~ spl0_43
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3446]) ).

fof(f3446,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_43
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3445,f397]) ).

fof(f397,plain,
    ( c3_1(a150)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_43
  <=> c3_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f3445,plain,
    ( ~ c3_1(a150)
    | ~ spl0_42
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f3429,f447]) ).

fof(f447,plain,
    ( c0_1(a150)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_53
  <=> c0_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3429,plain,
    ( ~ c0_1(a150)
    | ~ c3_1(a150)
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f824,f392]) ).

fof(f392,plain,
    ( c1_1(a150)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_42
  <=> c1_1(a150) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3411,plain,
    ( spl0_158
    | ~ spl0_79
    | spl0_65
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3410,f879,f505,f575,f1242]) ).

fof(f1242,plain,
    ( spl0_158
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f575,plain,
    ( spl0_79
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f505,plain,
    ( spl0_65
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f879,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3410,plain,
    ( ~ c2_1(a136)
    | c1_1(a136)
    | spl0_65
    | ~ spl0_141 ),
    inference(resolution,[],[f507,f880]) ).

fof(f880,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f507,plain,
    ( ~ c3_1(a136)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f3403,plain,
    ( spl0_113
    | spl0_114
    | spl0_117
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3402]) ).

fof(f3402,plain,
    ( $false
    | spl0_113
    | spl0_114
    | spl0_117
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3401,f752]) ).

fof(f752,plain,
    ( ~ c2_1(a128)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_114
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3401,plain,
    ( c2_1(a128)
    | spl0_113
    | spl0_117
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3395,f767]) ).

fof(f767,plain,
    ( ~ c0_1(a128)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_117
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3395,plain,
    ( c0_1(a128)
    | c2_1(a128)
    | spl0_113
    | ~ spl0_151 ),
    inference(resolution,[],[f930,f747]) ).

fof(f747,plain,
    ( ~ c3_1(a128)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_113
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3343,plain,
    ( spl0_173
    | spl0_114
    | spl0_117
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3342,f955,f765,f750,f2490]) ).

fof(f2490,plain,
    ( spl0_173
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f955,plain,
    ( spl0_155
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3342,plain,
    ( c1_1(a128)
    | spl0_114
    | spl0_117
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3341,f767]) ).

fof(f3341,plain,
    ( c0_1(a128)
    | c1_1(a128)
    | spl0_114
    | ~ spl0_155 ),
    inference(resolution,[],[f752,f956]) ).

fof(f956,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f3340,plain,
    ( ~ spl0_159
    | spl0_11
    | spl0_14
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3339,f879,f250,f235,f1274]) ).

fof(f235,plain,
    ( spl0_11
  <=> c1_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3339,plain,
    ( ~ c2_1(a145)
    | spl0_11
    | spl0_14
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f3330,f237]) ).

fof(f237,plain,
    ( ~ c1_1(a145)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f3330,plain,
    ( ~ c2_1(a145)
    | c1_1(a145)
    | spl0_14
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f252]) ).

fof(f3313,plain,
    ( ~ spl0_163
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f3312,f839,f720,f685,f1749]) ).

fof(f1749,plain,
    ( spl0_163
  <=> c2_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f685,plain,
    ( spl0_101
  <=> c1_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f720,plain,
    ( spl0_108
  <=> c0_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f839,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3312,plain,
    ( ~ c2_1(a125)
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f3306,f722]) ).

fof(f722,plain,
    ( c0_1(a125)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f3306,plain,
    ( ~ c0_1(a125)
    | ~ c2_1(a125)
    | ~ spl0_101
    | ~ spl0_132 ),
    inference(resolution,[],[f840,f687]) ).

fof(f687,plain,
    ( c1_1(a125)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f840,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f3288,plain,
    ( ~ spl0_103
    | ~ spl0_107
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3287]) ).

fof(f3287,plain,
    ( $false
    | ~ spl0_103
    | ~ spl0_107
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3284,f717]) ).

fof(f717,plain,
    ( c2_1(a135)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_107
  <=> c2_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3284,plain,
    ( ~ c2_1(a135)
    | ~ spl0_103
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(resolution,[],[f3264,f697]) ).

fof(f697,plain,
    ( c3_1(a135)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f695,plain,
    ( spl0_103
  <=> c3_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3264,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f947,f828]) ).

fof(f828,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f947,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_153
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3203,plain,
    ( ~ spl0_160
    | spl0_68
    | spl0_66
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3131,f898,f510,f520,f1484]) ).

fof(f1484,plain,
    ( spl0_160
  <=> c0_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f520,plain,
    ( spl0_68
  <=> c2_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f510,plain,
    ( spl0_66
  <=> c3_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f898,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3131,plain,
    ( c2_1(a183)
    | ~ c0_1(a183)
    | spl0_66
    | ~ spl0_145 ),
    inference(resolution,[],[f899,f512]) ).

fof(f512,plain,
    ( ~ c3_1(a183)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f899,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f3202,plain,
    ( spl0_61
    | spl0_70
    | spl0_71
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3196,f955,f535,f530,f485]) ).

fof(f485,plain,
    ( spl0_61
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f530,plain,
    ( spl0_70
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f535,plain,
    ( spl0_71
  <=> c0_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3196,plain,
    ( c1_1(a133)
    | spl0_70
    | spl0_71
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3184,f537]) ).

fof(f537,plain,
    ( ~ c0_1(a133)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f3184,plain,
    ( c0_1(a133)
    | c1_1(a133)
    | spl0_70
    | ~ spl0_155 ),
    inference(resolution,[],[f956,f532]) ).

fof(f532,plain,
    ( ~ c2_1(a133)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f3195,plain,
    ( spl0_11
    | spl0_18
    | ~ spl0_155
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f3194]) ).

fof(f3194,plain,
    ( $false
    | spl0_11
    | spl0_18
    | ~ spl0_155
    | spl0_159 ),
    inference(subsumption_resolution,[],[f3193,f237]) ).

fof(f3193,plain,
    ( c1_1(a145)
    | spl0_18
    | ~ spl0_155
    | spl0_159 ),
    inference(subsumption_resolution,[],[f3183,f272]) ).

fof(f3183,plain,
    ( c0_1(a145)
    | c1_1(a145)
    | ~ spl0_155
    | spl0_159 ),
    inference(resolution,[],[f956,f1276]) ).

fof(f3192,plain,
    ( spl0_62
    | spl0_68
    | ~ spl0_155
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3191]) ).

fof(f3191,plain,
    ( $false
    | spl0_62
    | spl0_68
    | ~ spl0_155
    | spl0_160 ),
    inference(subsumption_resolution,[],[f3190,f492]) ).

fof(f492,plain,
    ( ~ c1_1(a183)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_62
  <=> c1_1(a183) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3190,plain,
    ( c1_1(a183)
    | spl0_68
    | ~ spl0_155
    | spl0_160 ),
    inference(subsumption_resolution,[],[f3182,f1486]) ).

fof(f1486,plain,
    ( ~ c0_1(a183)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f3182,plain,
    ( c0_1(a183)
    | c1_1(a183)
    | spl0_68
    | ~ spl0_155 ),
    inference(resolution,[],[f956,f522]) ).

fof(f522,plain,
    ( ~ c2_1(a183)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f3043,plain,
    ( spl0_115
    | ~ spl0_121
    | ~ spl0_130
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3042]) ).

fof(f3042,plain,
    ( $false
    | spl0_115
    | ~ spl0_121
    | ~ spl0_130
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3041,f1032]) ).

fof(f1032,plain,
    ( c3_1(a151)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1030,plain,
    ( spl0_156
  <=> c3_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3041,plain,
    ( ~ c3_1(a151)
    | spl0_115
    | ~ spl0_121
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3034,f757]) ).

fof(f757,plain,
    ( ~ c2_1(a151)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_115
  <=> c2_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f3034,plain,
    ( c2_1(a151)
    | ~ c3_1(a151)
    | ~ spl0_121
    | ~ spl0_130 ),
    inference(resolution,[],[f832,f787]) ).

fof(f787,plain,
    ( c0_1(a151)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_121
  <=> c0_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f832,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f831,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3022,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3021]) ).

fof(f3021,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f3020,f692]) ).

fof(f692,plain,
    ( c3_1(a140)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_102
  <=> c3_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3020,plain,
    ( ~ c3_1(a140)
    | ~ spl0_100
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f3019,f682]) ).

fof(f682,plain,
    ( c1_1(a140)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_100
  <=> c1_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f3019,plain,
    ( ~ c1_1(a140)
    | ~ c3_1(a140)
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(resolution,[],[f2285,f885]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f884,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2285,plain,
    ( c2_1(a140)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2283]) ).

fof(f2283,plain,
    ( spl0_168
  <=> c2_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3018,plain,
    ( spl0_169
    | spl0_116
    | ~ spl0_120
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3017,f835,f780,f760,f2354]) ).

fof(f760,plain,
    ( spl0_116
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f835,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3017,plain,
    ( c0_1(a131)
    | spl0_116
    | ~ spl0_120
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3012,f762]) ).

fof(f762,plain,
    ( ~ c2_1(a131)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f3012,plain,
    ( c0_1(a131)
    | c2_1(a131)
    | ~ spl0_120
    | ~ spl0_131 ),
    inference(resolution,[],[f836,f782]) ).

fof(f836,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f3016,plain,
    ( spl0_168
    | spl0_97
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3015,f835,f690,f665,f2283]) ).

fof(f665,plain,
    ( spl0_97
  <=> c0_1(a140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3015,plain,
    ( c2_1(a140)
    | spl0_97
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3009,f667]) ).

fof(f667,plain,
    ( ~ c0_1(a140)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f3009,plain,
    ( c0_1(a140)
    | c2_1(a140)
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(resolution,[],[f836,f692]) ).

fof(f2994,plain,
    ( spl0_66
    | spl0_68
    | ~ spl0_145
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2993]) ).

fof(f2993,plain,
    ( $false
    | spl0_66
    | spl0_68
    | ~ spl0_145
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2986,f522]) ).

fof(f2986,plain,
    ( c2_1(a183)
    | spl0_66
    | ~ spl0_145
    | ~ spl0_151 ),
    inference(resolution,[],[f2972,f512]) ).

fof(f2972,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_145
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f930,f899]) ).

fof(f2881,plain,
    ( spl0_156
    | spl0_115
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2754,f861,f775,f755,f1030]) ).

fof(f775,plain,
    ( spl0_119
  <=> c1_1(a151) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f861,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2754,plain,
    ( c2_1(a151)
    | c3_1(a151)
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(resolution,[],[f862,f777]) ).

fof(f777,plain,
    ( c1_1(a151)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f862,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f2854,plain,
    ( spl0_73
    | ~ spl0_76
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2853]) ).

fof(f2853,plain,
    ( $false
    | spl0_73
    | ~ spl0_76
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2852,f562]) ).

fof(f562,plain,
    ( c1_1(a134)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_76
  <=> c1_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2852,plain,
    ( ~ c1_1(a134)
    | spl0_73
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2832,f547]) ).

fof(f547,plain,
    ( ~ c0_1(a134)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_73
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2832,plain,
    ( c0_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(resolution,[],[f910,f1123]) ).

fof(f1123,plain,
    ( c2_1(a134)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1121,plain,
    ( spl0_157
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f910,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2848,plain,
    ( spl0_98
    | ~ spl0_106
    | ~ spl0_147
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2847]) ).

fof(f2847,plain,
    ( $false
    | spl0_98
    | ~ spl0_106
    | ~ spl0_147
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2846,f2369]) ).

fof(f2369,plain,
    ( c1_1(a144)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2367]) ).

fof(f2367,plain,
    ( spl0_170
  <=> c1_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2846,plain,
    ( ~ c1_1(a144)
    | spl0_98
    | ~ spl0_106
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2829,f672]) ).

fof(f672,plain,
    ( ~ c0_1(a144)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_98
  <=> c0_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2829,plain,
    ( c0_1(a144)
    | ~ c1_1(a144)
    | ~ spl0_106
    | ~ spl0_147 ),
    inference(resolution,[],[f910,f712]) ).

fof(f712,plain,
    ( c2_1(a144)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_106
  <=> c2_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2776,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_137
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2775]) ).

fof(f2775,plain,
    ( $false
    | spl0_113
    | spl0_114
    | ~ spl0_137
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2774,f747]) ).

fof(f2774,plain,
    ( c3_1(a128)
    | spl0_114
    | ~ spl0_137
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2766,f752]) ).

fof(f2766,plain,
    ( c2_1(a128)
    | c3_1(a128)
    | ~ spl0_137
    | ~ spl0_173 ),
    inference(resolution,[],[f862,f2492]) ).

fof(f2492,plain,
    ( c1_1(a128)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2490]) ).

fof(f2508,plain,
    ( ~ spl0_53
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2505,f874,f823,f395,f445]) ).

fof(f874,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2505,plain,
    ( ~ c0_1(a150)
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(resolution,[],[f397,f2359]) ).

fof(f2359,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f824,f875]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2436,plain,
    ( spl0_163
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2435,f819,f720,f685,f1749]) ).

fof(f819,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2435,plain,
    ( c2_1(a125)
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2433,f722]) ).

fof(f2433,plain,
    ( c2_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_101
    | ~ spl0_127 ),
    inference(resolution,[],[f820,f687]) ).

fof(f820,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f2370,plain,
    ( spl0_170
    | ~ spl0_106
    | spl0_93
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2365,f879,f645,f710,f2367]) ).

fof(f645,plain,
    ( spl0_93
  <=> c3_1(a144) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2365,plain,
    ( ~ c2_1(a144)
    | c1_1(a144)
    | spl0_93
    | ~ spl0_141 ),
    inference(resolution,[],[f647,f880]) ).

fof(f647,plain,
    ( ~ c3_1(a144)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2358,plain,
    ( ~ spl0_125
    | spl0_123
    | ~ spl0_124
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2345,f874,f800,f795,f805]) ).

fof(f805,plain,
    ( spl0_125
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f795,plain,
    ( spl0_123
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f800,plain,
    ( spl0_124
  <=> c3_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2345,plain,
    ( c1_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_124
    | ~ spl0_140 ),
    inference(resolution,[],[f802,f875]) ).

fof(f802,plain,
    ( c3_1(a138)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f2311,plain,
    ( ~ spl0_167
    | spl0_89
    | ~ spl0_104
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2246,f874,f700,f625,f2275]) ).

fof(f2275,plain,
    ( spl0_167
  <=> c0_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f625,plain,
    ( spl0_89
  <=> c1_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f700,plain,
    ( spl0_104
  <=> c3_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2246,plain,
    ( c1_1(a149)
    | ~ c0_1(a149)
    | ~ spl0_104
    | ~ spl0_140 ),
    inference(resolution,[],[f875,f702]) ).

fof(f702,plain,
    ( c3_1(a149)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2278,plain,
    ( spl0_96
    | spl0_167
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2181,f835,f700,f2275,f660]) ).

fof(f660,plain,
    ( spl0_96
  <=> c2_1(a149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2181,plain,
    ( c0_1(a149)
    | c2_1(a149)
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(resolution,[],[f702,f836]) ).

fof(f2273,plain,
    ( ~ spl0_74
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2272]) ).

fof(f2272,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_78
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2271,f572]) ).

fof(f572,plain,
    ( c3_1(a137)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_78
  <=> c3_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2271,plain,
    ( ~ c3_1(a137)
    | ~ spl0_74
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2267,f552]) ).

fof(f552,plain,
    ( c1_1(a137)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_74
  <=> c1_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2267,plain,
    ( ~ c1_1(a137)
    | ~ c3_1(a137)
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(resolution,[],[f885,f582]) ).

fof(f582,plain,
    ( c2_1(a137)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl0_80
  <=> c2_1(a137) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2205,plain,
    ( ~ spl0_108
    | spl0_91
    | ~ spl0_101
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2202,f815,f685,f635,f720]) ).

fof(f635,plain,
    ( spl0_91
  <=> c3_1(a125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f815,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2202,plain,
    ( ~ c0_1(a125)
    | spl0_91
    | ~ spl0_101
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2194,f637]) ).

fof(f637,plain,
    ( ~ c3_1(a125)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f2194,plain,
    ( c3_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_101
    | ~ spl0_126 ),
    inference(resolution,[],[f816,f687]) ).

fof(f816,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f2094,plain,
    ( spl0_62
    | spl0_66
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2093]) ).

fof(f2093,plain,
    ( $false
    | spl0_62
    | spl0_66
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2088,f492]) ).

fof(f2088,plain,
    ( c1_1(a183)
    | spl0_66
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(resolution,[],[f2033,f512]) ).

fof(f2033,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f845,f895]) ).

fof(f895,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f845,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_133
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2030,plain,
    ( spl0_89
    | spl0_96
    | ~ spl0_104
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | spl0_89
    | spl0_96
    | ~ spl0_104
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2028,f627]) ).

fof(f627,plain,
    ( ~ c1_1(a149)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2028,plain,
    ( c1_1(a149)
    | spl0_96
    | ~ spl0_104
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2016,f662]) ).

fof(f662,plain,
    ( ~ c2_1(a149)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f2016,plain,
    ( c2_1(a149)
    | c1_1(a149)
    | ~ spl0_104
    | ~ spl0_154 ),
    inference(resolution,[],[f950,f702]) ).

fof(f950,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_154
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1967,plain,
    ( spl0_89
    | spl0_96
    | ~ spl0_104
    | ~ spl0_131
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | spl0_89
    | spl0_96
    | ~ spl0_104
    | ~ spl0_131
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1965,f627]) ).

fof(f1965,plain,
    ( c1_1(a149)
    | spl0_96
    | ~ spl0_104
    | ~ spl0_131
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1958,f662]) ).

fof(f1958,plain,
    ( c2_1(a149)
    | c1_1(a149)
    | spl0_96
    | ~ spl0_104
    | ~ spl0_131
    | ~ spl0_152 ),
    inference(resolution,[],[f940,f1606]) ).

fof(f1606,plain,
    ( c0_1(a149)
    | spl0_96
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1595,f662]) ).

fof(f1595,plain,
    ( c0_1(a149)
    | c2_1(a149)
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(resolution,[],[f836,f702]) ).

fof(f940,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1942,plain,
    ( spl0_62
    | spl0_66
    | ~ spl0_141
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1941]) ).

fof(f1941,plain,
    ( $false
    | spl0_62
    | spl0_66
    | ~ spl0_141
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1934,f492]) ).

fof(f1934,plain,
    ( c1_1(a183)
    | spl0_66
    | ~ spl0_141
    | ~ spl0_150 ),
    inference(resolution,[],[f1922,f512]) ).

fof(f1922,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_141
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f925,f880]) ).

fof(f925,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1839,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_109
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1838,plain,
    ( $false
    | spl0_94
    | spl0_95
    | ~ spl0_109
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1837,f727]) ).

fof(f727,plain,
    ( c0_1(a159)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_109
  <=> c0_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1837,plain,
    ( ~ c0_1(a159)
    | spl0_94
    | spl0_95
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1824,f657]) ).

fof(f657,plain,
    ( ~ c2_1(a159)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f655,plain,
    ( spl0_95
  <=> c2_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1824,plain,
    ( c2_1(a159)
    | ~ c0_1(a159)
    | spl0_94
    | ~ spl0_145 ),
    inference(resolution,[],[f899,f652]) ).

fof(f652,plain,
    ( ~ c3_1(a159)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_94
  <=> c3_1(a159) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1812,plain,
    ( ~ spl0_52
    | spl0_37
    | spl0_38
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1811,f894,f370,f365,f440]) ).

fof(f440,plain,
    ( spl0_52
  <=> c0_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f365,plain,
    ( spl0_37
  <=> c1_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f370,plain,
    ( spl0_38
  <=> c3_1(a139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1811,plain,
    ( ~ c0_1(a139)
    | spl0_37
    | spl0_38
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1795,f367]) ).

fof(f367,plain,
    ( ~ c1_1(a139)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1795,plain,
    ( ~ c0_1(a139)
    | c1_1(a139)
    | spl0_38
    | ~ spl0_144 ),
    inference(resolution,[],[f895,f372]) ).

fof(f372,plain,
    ( ~ c3_1(a139)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f1809,plain,
    ( spl0_158
    | spl0_65
    | ~ spl0_81
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1808,f894,f585,f505,f1242]) ).

fof(f585,plain,
    ( spl0_81
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1808,plain,
    ( c1_1(a136)
    | spl0_65
    | ~ spl0_81
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1796,f587]) ).

fof(f587,plain,
    ( c0_1(a136)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1796,plain,
    ( ~ c0_1(a136)
    | c1_1(a136)
    | spl0_65
    | ~ spl0_144 ),
    inference(resolution,[],[f895,f507]) ).

fof(f1729,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1728]) ).

fof(f1728,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1718,f692]) ).

fof(f1718,plain,
    ( ~ c3_1(a140)
    | ~ spl0_100
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(resolution,[],[f1712,f682]) ).

fof(f1712,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_136
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f885,f858]) ).

fof(f858,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f857,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1697,plain,
    ( spl0_96
    | ~ spl0_104
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1696,plain,
    ( $false
    | spl0_96
    | ~ spl0_104
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1687,f662]) ).

fof(f1687,plain,
    ( c2_1(a149)
    | ~ spl0_104
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(resolution,[],[f1682,f702]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f832,f836]) ).

fof(f1681,plain,
    ( spl0_90
    | ~ spl0_103
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | spl0_90
    | ~ spl0_103
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1668,f632]) ).

fof(f632,plain,
    ( ~ c1_1(a135)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_90
  <=> c1_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1668,plain,
    ( c1_1(a135)
    | ~ spl0_103
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(resolution,[],[f1656,f697]) ).

fof(f1656,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f875,f870]) ).

fof(f870,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1547,plain,
    ( ~ spl0_156
    | spl0_115
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1534,f857,f775,f755,f1030]) ).

fof(f1534,plain,
    ( c2_1(a151)
    | ~ c3_1(a151)
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(resolution,[],[f858,f777]) ).

fof(f1546,plain,
    ( ~ spl0_120
    | spl0_116
    | ~ spl0_118
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1543,f857,f770,f760,f780]) ).

fof(f1543,plain,
    ( ~ c3_1(a131)
    | spl0_116
    | ~ spl0_118
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1537,f762]) ).

fof(f1537,plain,
    ( c2_1(a131)
    | ~ c3_1(a131)
    | ~ spl0_118
    | ~ spl0_136 ),
    inference(resolution,[],[f858,f772]) ).

fof(f1527,plain,
    ( ~ spl0_79
    | ~ spl0_81
    | ~ spl0_132
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_81
    | ~ spl0_132
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1525,f577]) ).

fof(f577,plain,
    ( c2_1(a136)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1525,plain,
    ( ~ c2_1(a136)
    | ~ spl0_81
    | ~ spl0_132
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1523,f587]) ).

fof(f1523,plain,
    ( ~ c0_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_132
    | ~ spl0_158 ),
    inference(resolution,[],[f1244,f840]) ).

fof(f1244,plain,
    ( c1_1(a136)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f1324,plain,
    ( spl0_70
    | spl0_71
    | ~ spl0_131
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1323]) ).

fof(f1323,plain,
    ( $false
    | spl0_70
    | spl0_71
    | ~ spl0_131
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1313,f537]) ).

fof(f1313,plain,
    ( c0_1(a133)
    | spl0_70
    | ~ spl0_131
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(resolution,[],[f1279,f532]) ).

fof(f1279,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f836,f1246]) ).

fof(f1246,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_134
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f930,f849]) ).

fof(f849,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1240,plain,
    ( spl0_65
    | ~ spl0_79
    | ~ spl0_81
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1239,plain,
    ( $false
    | spl0_65
    | ~ spl0_79
    | ~ spl0_81
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1238,f587]) ).

fof(f1238,plain,
    ( ~ c0_1(a136)
    | spl0_65
    | ~ spl0_79
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1236,f507]) ).

fof(f1236,plain,
    ( c3_1(a136)
    | ~ c0_1(a136)
    | spl0_65
    | ~ spl0_79
    | ~ spl0_126
    | ~ spl0_141 ),
    inference(resolution,[],[f1190,f816]) ).

fof(f1190,plain,
    ( c1_1(a136)
    | spl0_65
    | ~ spl0_79
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1183,f577]) ).

fof(f1183,plain,
    ( ~ c2_1(a136)
    | c1_1(a136)
    | spl0_65
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f507]) ).

fof(f1223,plain,
    ( spl0_66
    | spl0_68
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | spl0_66
    | spl0_68
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1214,f522]) ).

fof(f1214,plain,
    ( c2_1(a183)
    | spl0_66
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(resolution,[],[f1208,f512]) ).

fof(f1208,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_137
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f925,f862]) ).

fof(f1191,plain,
    ( spl0_10
    | spl0_13
    | ~ spl0_26
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1186,f879,f310,f245,f230]) ).

fof(f230,plain,
    ( spl0_10
  <=> c1_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f245,plain,
    ( spl0_13
  <=> c3_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f310,plain,
    ( spl0_26
  <=> c2_1(a192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1186,plain,
    ( c1_1(a192)
    | spl0_13
    | ~ spl0_26
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1178,f312]) ).

fof(f312,plain,
    ( c2_1(a192)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1178,plain,
    ( ~ c2_1(a192)
    | c1_1(a192)
    | spl0_13
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f247]) ).

fof(f247,plain,
    ( ~ c3_1(a192)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f1156,plain,
    ( ~ spl0_44
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1148,f402]) ).

fof(f402,plain,
    ( c3_1(a162)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_44
  <=> c3_1(a162) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1148,plain,
    ( ~ c3_1(a162)
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(resolution,[],[f1144,f432]) ).

fof(f432,plain,
    ( c0_1(a162)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_50
  <=> c0_1(a162) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f875,f824]) ).

fof(f1124,plain,
    ( spl0_63
    | spl0_157
    | ~ spl0_76
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1111,f861,f560,f1121,f495]) ).

fof(f495,plain,
    ( spl0_63
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1111,plain,
    ( c2_1(a134)
    | c3_1(a134)
    | ~ spl0_76
    | ~ spl0_137 ),
    inference(resolution,[],[f862,f562]) ).

fof(f1116,plain,
    ( spl0_64
    | spl0_69
    | ~ spl0_75
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1115]) ).

fof(f1115,plain,
    ( $false
    | spl0_64
    | spl0_69
    | ~ spl0_75
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1114,f502]) ).

fof(f502,plain,
    ( ~ c3_1(a158)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_64
  <=> c3_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1114,plain,
    ( c3_1(a158)
    | spl0_69
    | ~ spl0_75
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1108,f527]) ).

fof(f527,plain,
    ( ~ c2_1(a158)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl0_69
  <=> c2_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1108,plain,
    ( c2_1(a158)
    | c3_1(a158)
    | ~ spl0_75
    | ~ spl0_137 ),
    inference(resolution,[],[f862,f557]) ).

fof(f557,plain,
    ( c1_1(a158)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_75
  <=> c1_1(a158) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1091,plain,
    ( spl0_92
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_126
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | spl0_92
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_126
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1089,f998]) ).

fof(f998,plain,
    ( c0_1(a130)
    | spl0_92
    | ~ spl0_105
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f990,f707]) ).

fof(f707,plain,
    ( c2_1(a130)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_105
  <=> c2_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f990,plain,
    ( c0_1(a130)
    | ~ c2_1(a130)
    | spl0_92
    | ~ spl0_134 ),
    inference(resolution,[],[f849,f642]) ).

fof(f642,plain,
    ( ~ c3_1(a130)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_92
  <=> c3_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1089,plain,
    ( ~ c0_1(a130)
    | spl0_92
    | ~ spl0_99
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1085,f642]) ).

fof(f1085,plain,
    ( c3_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_99
    | ~ spl0_126 ),
    inference(resolution,[],[f816,f677]) ).

fof(f677,plain,
    ( c1_1(a130)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_99
  <=> c1_1(a130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1088,plain,
    ( spl0_156
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1087,f815,f785,f775,f1030]) ).

fof(f1087,plain,
    ( c3_1(a151)
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1082,f787]) ).

fof(f1082,plain,
    ( c3_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_119
    | ~ spl0_126 ),
    inference(resolution,[],[f816,f777]) ).

fof(f1078,plain,
    ( spl0_92
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1077]) ).

fof(f1077,plain,
    ( $false
    | spl0_92
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1076,f707]) ).

fof(f1076,plain,
    ( ~ c2_1(a130)
    | spl0_92
    | ~ spl0_99
    | ~ spl0_105
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1074,f998]) ).

fof(f1074,plain,
    ( ~ c0_1(a130)
    | ~ c2_1(a130)
    | ~ spl0_99
    | ~ spl0_132 ),
    inference(resolution,[],[f840,f677]) ).

fof(f1035,plain,
    ( ~ spl0_121
    | spl0_115
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1034,f819,f775,f755,f785]) ).

fof(f1034,plain,
    ( ~ c0_1(a151)
    | spl0_115
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1028,f757]) ).

fof(f1028,plain,
    ( c2_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_119
    | ~ spl0_127 ),
    inference(resolution,[],[f777,f820]) ).

fof(f1024,plain,
    ( spl0_67
    | spl0_72
    | ~ spl0_77
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | spl0_67
    | spl0_72
    | ~ spl0_77
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1022,f517]) ).

fof(f517,plain,
    ( ~ c2_1(a170)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_67
  <=> c2_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1022,plain,
    ( c2_1(a170)
    | spl0_72
    | ~ spl0_77
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1015,f542]) ).

fof(f542,plain,
    ( ~ c0_1(a170)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_72
  <=> c0_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1015,plain,
    ( c0_1(a170)
    | c2_1(a170)
    | ~ spl0_77
    | ~ spl0_131 ),
    inference(resolution,[],[f836,f567]) ).

fof(f567,plain,
    ( c3_1(a170)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_77
  <=> c3_1(a170) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1003,plain,
    ( ~ spl0_46
    | ~ spl0_47
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1002]) ).

fof(f1002,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1001,f417]) ).

fof(f417,plain,
    ( c2_1(a143)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_47
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1001,plain,
    ( ~ c2_1(a143)
    | ~ spl0_46
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1000,f412]) ).

fof(f412,plain,
    ( c3_1(a143)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_46
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1000,plain,
    ( ~ c3_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f427,f828]) ).

fof(f427,plain,
    ( c0_1(a143)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_49
  <=> c0_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f999,plain,
    ( ~ spl0_106
    | spl0_93
    | spl0_98
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f994,f848,f670,f645,f710]) ).

fof(f994,plain,
    ( ~ c2_1(a144)
    | spl0_93
    | spl0_98
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f986,f672]) ).

fof(f986,plain,
    ( c0_1(a144)
    | ~ c2_1(a144)
    | spl0_93
    | ~ spl0_134 ),
    inference(resolution,[],[f849,f647]) ).

fof(f958,plain,
    ( spl0_133
    | spl0_155
    | spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f186,f939,f955,f844]) ).

fof(f186,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f174,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f957,plain,
    ( spl0_151
    | spl0_155
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f186,f874,f955,f929]) ).

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

fof(f953,plain,
    ( spl0_150
    | spl0_134
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f186,f884,f848,f924]) ).

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

fof(f952,plain,
    ( spl0_144
    | spl0_130
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f186,f884,f831,f894]) ).

fof(f183,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f951,plain,
    ( spl0_153
    | spl0_154
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f186,f857,f949,f946]) ).

fof(f182,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f944,plain,
    ( spl0_141
    | spl0_136
    | spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f186,f861,f857,f879]) ).

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

fof(f943,plain,
    ( spl0_141
    | spl0_127
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f186,f884,f819,f879]) ).

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

fof(f942,plain,
    ( spl0_141
    | spl0_131
    | spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f186,f735,f835,f879]) ).

fof(f735,plain,
    ( spl0_111
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

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

fof(f937,plain,
    ( spl0_134
    | spl0_137
    | spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f186,f730,f861,f848]) ).

fof(f730,plain,
    ( spl0_110
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

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

fof(f936,plain,
    ( spl0_141
    | spl0_130
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f186,f615,f831,f879]) ).

fof(f615,plain,
    ( spl0_87
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

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

fof(f935,plain,
    ( spl0_129
    | spl0_147
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f186,f620,f909,f827]) ).

fof(f620,plain,
    ( spl0_88
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

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

fof(f934,plain,
    ( spl0_129
    | spl0_142
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f186,f590,f884,f827]) ).

fof(f590,plain,
    ( spl0_82
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

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

fof(f933,plain,
    ( spl0_132
    | spl0_126
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f186,f595,f815,f839]) ).

fof(f595,plain,
    ( spl0_83
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

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

fof(f932,plain,
    ( spl0_151
    | spl0_131
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f186,f470,f835,f929]) ).

fof(f470,plain,
    ( spl0_58
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

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

fof(f931,plain,
    ( spl0_151
    | spl0_131
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f186,f475,f835,f929]) ).

fof(f475,plain,
    ( spl0_59
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

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

fof(f927,plain,
    ( spl0_145
    | spl0_130
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f186,f480,f831,f898]) ).

fof(f480,plain,
    ( spl0_60
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

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

fof(f926,plain,
    ( spl0_150
    | spl0_128
    | spl0_57
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f186,f465,f823,f924]) ).

fof(f465,plain,
    ( spl0_57
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

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

fof(f911,plain,
    ( spl0_134
    | spl0_147
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f186,f335,f909,f848]) ).

fof(f335,plain,
    ( spl0_31
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

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

fof(f901,plain,
    ( spl0_128
    | spl0_122
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f186,f600,f790,f823]) ).

fof(f790,plain,
    ( spl0_122
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f600,plain,
    ( spl0_84
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f900,plain,
    ( spl0_145
    | spl0_111
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f186,f590,f735,f898]) ).

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

fof(f896,plain,
    ( spl0_144
    | spl0_112
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f186,f605,f740,f894]) ).

fof(f740,plain,
    ( spl0_112
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f605,plain,
    ( spl0_85
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

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

fof(f888,plain,
    ( spl0_139
    | spl0_112
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f186,f605,f740,f869]) ).

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

fof(f881,plain,
    ( spl0_141
    | spl0_110
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f186,f480,f730,f879]) ).

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

fof(f877,plain,
    ( spl0_130
    | spl0_112
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f186,f450,f740,f831]) ).

fof(f450,plain,
    ( spl0_54
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

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

fof(f876,plain,
    ( spl0_140
    | spl0_110
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f186,f455,f730,f874]) ).

fof(f455,plain,
    ( spl0_55
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

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

fof(f859,plain,
    ( spl0_136
    | spl0_85
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f186,f450,f605,f857]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp4
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f855,plain,
    ( spl0_134
    | spl0_57
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f186,f480,f465,f848]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp7
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f842,plain,
    ( spl0_131
    | spl0_83
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f186,f355,f595,f835]) ).

fof(f355,plain,
    ( spl0_35
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

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

fof(f841,plain,
    ( spl0_132
    | spl0_83
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f186,f350,f595,f839]) ).

fof(f350,plain,
    ( spl0_34
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f837,plain,
    ( spl0_131
    | spl0_111
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f186,f210,f735,f835]) ).

fof(f210,plain,
    ( spl0_6
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f825,plain,
    ( spl0_128
    | spl0_54
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f186,f220,f450,f823]) ).

fof(f220,plain,
    ( spl0_8
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

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

fof(f821,plain,
    ( spl0_127
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f186,f600,f819]) ).

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

fof(f817,plain,
    ( spl0_126
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f186,f610,f815]) ).

fof(f610,plain,
    ( spl0_86
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

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

fof(f812,plain,
    ( spl0_58
    | spl0_55
    | spl0_56 ),
    inference(avatar_split_clause,[],[f34,f460,f455,f470]) ).

fof(f460,plain,
    ( spl0_56
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

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

fof(f811,plain,
    ( spl0_122
    | spl0_112
    | spl0_33 ),
    inference(avatar_split_clause,[],[f35,f345,f740,f790]) ).

fof(f345,plain,
    ( spl0_33
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f35,axiom,
    ( hskp0
    | hskp5
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f809,plain,
    ( spl0_87
    | spl0_30 ),
    inference(avatar_split_clause,[],[f1,f330,f615]) ).

fof(f330,plain,
    ( spl0_30
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

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

fof(f808,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f68,f790,f805]) ).

fof(f68,axiom,
    ( ~ hskp10
    | c0_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f803,plain,
    ( spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f69,f790,f800]) ).

fof(f69,axiom,
    ( ~ hskp10
    | c3_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f798,plain,
    ( ~ spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f113,f790,f795]) ).

fof(f113,axiom,
    ( ~ hskp10
    | ~ c1_1(a138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f793,plain,
    ( spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f22,f790,f186]) ).

fof(f22,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f788,plain,
    ( spl0_121
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f61,f730,f785]) ).

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

fof(f783,plain,
    ( spl0_120
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f76,f740,f780]) ).

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

fof(f778,plain,
    ( spl0_119
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f62,f730,f775]) ).

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

fof(f773,plain,
    ( spl0_118
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f75,f740,f770]) ).

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

fof(f768,plain,
    ( ~ spl0_117
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f123,f735,f765]) ).

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

fof(f763,plain,
    ( ~ spl0_116
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f121,f740,f760]) ).

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

fof(f758,plain,
    ( ~ spl0_115
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f102,f730,f755]) ).

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

fof(f753,plain,
    ( ~ spl0_114
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f124,f735,f750]) ).

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

fof(f748,plain,
    ( ~ spl0_113
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f125,f735,f745]) ).

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

fof(f743,plain,
    ( spl0_1
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f27,f740,f186]) ).

fof(f27,axiom,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f728,plain,
    ( spl0_109
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f59,f620,f725]) ).

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

fof(f723,plain,
    ( spl0_108
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f80,f590,f720]) ).

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

fof(f718,plain,
    ( spl0_107
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f72,f615,f715]) ).

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

fof(f713,plain,
    ( spl0_106
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f64,f595,f710]) ).

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

fof(f708,plain,
    ( spl0_105
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f78,f605,f705]) ).

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

fof(f703,plain,
    ( spl0_104
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f63,f600,f700]) ).

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

fof(f698,plain,
    ( spl0_103
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f73,f615,f695]) ).

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

fof(f693,plain,
    ( spl0_102
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f66,f610,f690]) ).

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

fof(f688,plain,
    ( spl0_101
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f81,f590,f685]) ).

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

fof(f683,plain,
    ( spl0_100
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f65,f610,f680]) ).

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

fof(f678,plain,
    ( spl0_99
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f77,f605,f675]) ).

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

fof(f673,plain,
    ( ~ spl0_98
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f108,f595,f670]) ).

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

fof(f668,plain,
    ( ~ spl0_97
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f110,f610,f665]) ).

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

fof(f663,plain,
    ( ~ spl0_96
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f104,f600,f660]) ).

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

fof(f658,plain,
    ( ~ spl0_95
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f620,f655]) ).

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

fof(f653,plain,
    ( ~ spl0_94
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f99,f620,f650]) ).

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

fof(f648,plain,
    ( ~ spl0_93
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f109,f595,f645]) ).

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

fof(f643,plain,
    ( ~ spl0_92
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f122,f605,f640]) ).

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

fof(f638,plain,
    ( ~ spl0_91
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f128,f590,f635]) ).

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

fof(f633,plain,
    ( ~ spl0_90
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f115,f615,f630]) ).

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

fof(f628,plain,
    ( ~ spl0_89
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f103,f600,f625]) ).

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

fof(f588,plain,
    ( spl0_81
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f70,f470,f585]) ).

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

fof(f583,plain,
    ( spl0_80
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f47,f475,f580]) ).

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

fof(f578,plain,
    ( spl0_79
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f71,f470,f575]) ).

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

fof(f573,plain,
    ( spl0_78
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f48,f475,f570]) ).

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

fof(f568,plain,
    ( spl0_77
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f55,f455,f565]) ).

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

fof(f563,plain,
    ( spl0_76
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f74,f465,f560]) ).

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

fof(f558,plain,
    ( spl0_75
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f60,f480,f555]) ).

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

fof(f553,plain,
    ( spl0_74
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f46,f475,f550]) ).

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

fof(f548,plain,
    ( ~ spl0_73
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f116,f465,f545]) ).

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

fof(f543,plain,
    ( ~ spl0_72
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f93,f455,f540]) ).

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

fof(f538,plain,
    ( ~ spl0_71
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f118,f460,f535]) ).

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

fof(f533,plain,
    ( ~ spl0_70
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f120,f460,f530]) ).

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

fof(f528,plain,
    ( ~ spl0_69
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f100,f480,f525]) ).

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

fof(f523,plain,
    ( ~ spl0_68
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f89,f450,f520]) ).

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

fof(f518,plain,
    ( ~ spl0_67
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f94,f455,f515]) ).

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

fof(f513,plain,
    ( ~ spl0_66
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f90,f450,f510]) ).

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

fof(f508,plain,
    ( ~ spl0_65
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f114,f470,f505]) ).

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

fof(f503,plain,
    ( ~ spl0_64
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f101,f480,f500]) ).

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

fof(f498,plain,
    ( ~ spl0_63
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f117,f465,f495]) ).

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

fof(f493,plain,
    ( ~ spl0_62
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f88,f450,f490]) ).

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

fof(f488,plain,
    ( ~ spl0_61
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f119,f460,f485]) ).

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

fof(f448,plain,
    ( spl0_53
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f40,f335,f445]) ).

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

fof(f443,plain,
    ( spl0_52
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f67,f330,f440]) ).

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

fof(f433,plain,
    ( spl0_50
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f57,f350,f430]) ).

fof(f57,axiom,
    ( ~ hskp19
    | c0_1(a162) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f428,plain,
    ( spl0_49
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f43,f355,f425]) ).

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

fof(f418,plain,
    ( spl0_47
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f44,f355,f415]) ).

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

fof(f413,plain,
    ( spl0_46
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f45,f355,f410]) ).

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

fof(f403,plain,
    ( spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f58,f350,f400]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c3_1(a162) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f398,plain,
    ( spl0_43
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f42,f335,f395]) ).

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

fof(f393,plain,
    ( spl0_42
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f41,f335,f390]) ).

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

fof(f373,plain,
    ( ~ spl0_38
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f112,f330,f370]) ).

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

fof(f368,plain,
    ( ~ spl0_37
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f111,f330,f365]) ).

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

fof(f348,plain,
    ( spl0_1
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f32,f345,f186]) ).

fof(f32,axiom,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f313,plain,
    ( spl0_26
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f50,f220,f310]) ).

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

fof(f273,plain,
    ( ~ spl0_18
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f105,f210,f270]) ).

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

fof(f253,plain,
    ( ~ spl0_14
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f210,f250]) ).

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

fof(f248,plain,
    ( ~ spl0_13
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f87,f220,f245]) ).

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

fof(f238,plain,
    ( ~ spl0_11
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f210,f235]) ).

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

fof(f233,plain,
    ( ~ spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f86,f220,f230]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN442-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:14:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (4509)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (4510)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (4511)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (4513)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (4512)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (4514)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (4515)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (4516)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [31]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [31]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [31]
% 0.14/0.38  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [31]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.41  TRYING [5]
% 0.14/0.41  TRYING [5]
% 0.14/0.41  TRYING [5]
% 0.14/0.42  TRYING [5]
% 0.14/0.42  % (4515)First to succeed.
% 0.14/0.43  % (4515)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4509"
% 0.14/0.43  % (4515)Refutation found. Thanks to Tanya!
% 0.14/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (4515)------------------------------
% 0.21/0.44  % (4515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44  % (4515)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (4515)Memory used [KB]: 1874
% 0.21/0.44  % (4515)Time elapsed: 0.052 s
% 0.21/0.44  % (4515)Instructions burned: 83 (million)
% 0.21/0.44  % (4509)Success in time 0.073 s
%------------------------------------------------------------------------------