TSTP Solution File: HWV025-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV025-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Tue Apr 30 12:23:12 EDT 2024

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  240
% Syntax   : Number of formulae    :  392 ( 146 unt;   0 def)
%            Number of atoms       :  942 ( 125 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  868 ( 318   ~; 425   |;   0   &)
%                                         ( 125 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  130 ( 128 usr; 126 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;   8 con; 0-3 aty)
%            Number of variables   :  390 ( 390   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1069,plain,
    $false,
    inference(avatar_sat_refutation,[],[f147,f152,f157,f162,f167,f172,f176,f181,f185,f190,f194,f198,f202,f206,f210,f214,f221,f225,f230,f234,f238,f242,f246,f250,f254,f258,f262,f266,f271,f276,f280,f284,f288,f292,f296,f300,f304,f308,f312,f316,f320,f324,f328,f337,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f409,f424,f456,f460,f464,f468,f472,f476,f480,f484,f488,f492,f496,f517,f538,f542,f546,f550,f554,f558,f616,f620,f646,f650,f654,f666,f670,f674,f678,f682,f686,f690,f694,f698,f702,f787,f803,f807,f811,f815,f847,f851,f855,f859,f878,f882,f886,f890,f930,f934,f938,f942,f946,f947,f951,f955,f1038,f1043,f1047,f1051,f1055,f1059,f1063,f1068]) ).

fof(f1068,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_1
    | ~ spl0_99
    | spl0_4
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f897,f880,f159,f784,f144,f149,f154]) ).

fof(f154,plain,
    ( spl0_3
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f149,plain,
    ( spl0_2
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f144,plain,
    ( spl0_1
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f784,plain,
    ( spl0_99
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f159,plain,
    ( spl0_4
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f880,plain,
    ( spl0_109
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f897,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206))
    | spl0_4
    | ~ spl0_109 ),
    inference(resolution,[],[f881,f161]) ).

fof(f161,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f881,plain,
    ( ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1)))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10)) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1063,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f47,f1061]) ).

fof(f1061,plain,
    ( spl0_125
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f47,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).

fof(f1059,plain,
    spl0_124,
    inference(avatar_split_clause,[],[f46,f1057]) ).

fof(f1057,plain,
    ( spl0_124
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f46,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).

fof(f1055,plain,
    spl0_123,
    inference(avatar_split_clause,[],[f34,f1053]) ).

fof(f1053,plain,
    ( spl0_123
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f34,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f1051,plain,
    spl0_122,
    inference(avatar_split_clause,[],[f30,f1049]) ).

fof(f1049,plain,
    ( spl0_122
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f30,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).

fof(f1047,plain,
    spl0_121,
    inference(avatar_split_clause,[],[f29,f1045]) ).

fof(f1045,plain,
    ( spl0_121
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(X10),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f29,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fstd_DOTstandard_DOTmod_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTwr__level_(X10),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f1043,plain,
    spl0_120,
    inference(avatar_split_clause,[],[f23,f1041]) ).

fof(f1041,plain,
    ( spl0_120
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
        | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f23,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f1038,plain,
    spl0_119,
    inference(avatar_split_clause,[],[f22,f1036]) ).

fof(f1036,plain,
    ( spl0_119
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
        | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f22,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

fof(f955,plain,
    spl0_118,
    inference(avatar_split_clause,[],[f48,f953]) ).

fof(f953,plain,
    ( spl0_118
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f48,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).

fof(f951,plain,
    spl0_117,
    inference(avatar_split_clause,[],[f45,f949]) ).

fof(f949,plain,
    ( spl0_117
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f45,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f947,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_99
    | spl0_1
    | spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f915,f888,f159,f144,f784,f149,f154]) ).

fof(f888,plain,
    ( spl0_111
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f915,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206))
    | spl0_4
    | ~ spl0_111 ),
    inference(resolution,[],[f889,f161]) ).

fof(f889,plain,
    ( ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1)))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10)) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f946,plain,
    spl0_116,
    inference(avatar_split_clause,[],[f36,f944]) ).

fof(f944,plain,
    ( spl0_116
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f36,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f942,plain,
    spl0_115,
    inference(avatar_split_clause,[],[f33,f940]) ).

fof(f940,plain,
    ( spl0_115
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f33,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f938,plain,
    spl0_114,
    inference(avatar_split_clause,[],[f24,f936]) ).

fof(f936,plain,
    ( spl0_114
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f24,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f934,plain,
    spl0_113,
    inference(avatar_split_clause,[],[f21,f932]) ).

fof(f932,plain,
    ( spl0_113
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f21,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f930,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f15,f928]) ).

fof(f928,plain,
    ( spl0_112
  <=> ! [X6,X9] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | ~ p_LES_EQU_(n0,X9)
        | ~ p_LES_EQU_(X9,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
        | ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X6,n1)),X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f15,axiom,
    ! [X6,X9] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | ~ p_LES_EQU_(n0,X9)
      | ~ p_LES_EQU_(X9,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
      | ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X6,n1)),X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f890,plain,
    spl0_111,
    inference(avatar_split_clause,[],[f53,f888]) ).

fof(f53,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).

fof(f886,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f52,f884]) ).

fof(f884,plain,
    ( spl0_110
  <=> ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f52,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).

fof(f882,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f27,f880]) ).

fof(f27,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f878,plain,
    spl0_108,
    inference(avatar_split_clause,[],[f26,f876]) ).

fof(f876,plain,
    ( spl0_108
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f26,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).

fof(f859,plain,
    spl0_107,
    inference(avatar_split_clause,[],[f86,f857]) ).

fof(f857,plain,
    ( spl0_107
  <=> ! [X70,X71,X72] :
        ( ~ p_LES_EQU_(length(X70),X71)
        | f__index_(f__concat_(X70,X72),X71) = f__index_(X72,f_SUB_(X71,length(X70))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f86,axiom,
    ! [X72,X70,X71] :
      ( ~ p_LES_EQU_(length(X70),X71)
      | f__index_(f__concat_(X70,X72),X71) = f__index_(X72,f_SUB_(X71,length(X70))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

fof(f855,plain,
    spl0_106,
    inference(avatar_split_clause,[],[f51,f853]) ).

fof(f853,plain,
    ( spl0_106
  <=> ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f51,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

fof(f851,plain,
    spl0_105,
    inference(avatar_split_clause,[],[f50,f849]) ).

fof(f849,plain,
    ( spl0_105
  <=> ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f50,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

fof(f847,plain,
    spl0_104,
    inference(avatar_split_clause,[],[f16,f845]) ).

fof(f845,plain,
    ( spl0_104
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f16,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTrd__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f815,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f84,f813]) ).

fof(f813,plain,
    ( spl0_103
  <=> ! [X66,X64,X65] :
        ( p_LES_EQU_(X64,n0)
        | f__index_(f__cons_(X65,X66),X64) = f__index_(X66,f_SUB_(X64,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f84,axiom,
    ! [X65,X66,X64] :
      ( p_LES_EQU_(X64,n0)
      | f__index_(f__cons_(X65,X66),X64) = f__index_(X66,f_SUB_(X64,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).

fof(f811,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f56,f809]) ).

fof(f809,plain,
    ( spl0_102
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f56,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f807,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f55,f805]) ).

fof(f805,plain,
    ( spl0_101
  <=> ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f55,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).

fof(f803,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f40,f801]) ).

fof(f801,plain,
    ( spl0_100
  <=> ! [X10] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f40,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

fof(f787,plain,
    ( spl0_98
    | spl0_99
    | spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f703,f664,f149,f784,f780]) ).

fof(f780,plain,
    ( spl0_98
  <=> fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(t_206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f664,plain,
    ( spl0_88
  <=> ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f703,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(t_206)
    | spl0_2
    | ~ spl0_88 ),
    inference(resolution,[],[f665,f151]) ).

fof(f151,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f665,plain,
    ( ! [X10] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
        | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
        | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f702,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f93,f700]) ).

fof(f700,plain,
    ( spl0_97
  <=> ! [X93,X92,X94] : f__index_(f__xnor_(X92,X93),X94) = f__xnor_(f__index_(X92,X94),f__index_(X93,X94)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f93,axiom,
    ! [X94,X92,X93] : f__index_(f__xnor_(X92,X93),X94) = f__xnor_(f__index_(X92,X94),f__index_(X93,X94)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).

fof(f698,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f92,f696]) ).

fof(f696,plain,
    ( spl0_96
  <=> ! [X89,X91,X90] : f__index_(f__nor_(X89,X90),X91) = f__nor_(f__index_(X89,X91),f__index_(X90,X91)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f92,axiom,
    ! [X90,X91,X89] : f__index_(f__nor_(X89,X90),X91) = f__nor_(f__index_(X89,X91),f__index_(X90,X91)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).

fof(f694,plain,
    ( spl0_95
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f506,f458,f196,f692]) ).

fof(f692,plain,
    ( spl0_95
  <=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) != n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f196,plain,
    ( spl0_12
  <=> ! [X27] : n0 != f_ADD_(X27,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f458,plain,
    ( spl0_66
  <=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f506,plain,
    ( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) != n0
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(superposition,[],[f197,f459]) ).

fof(f459,plain,
    ( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f197,plain,
    ( ! [X27] : n0 != f_ADD_(X27,n1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f690,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f91,f688]) ).

fof(f688,plain,
    ( spl0_94
  <=> ! [X87,X86,X88] : f__index_(f__nand_(X86,X87),X88) = f__nand_(f__index_(X86,X88),f__index_(X87,X88)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f91,axiom,
    ! [X88,X86,X87] : f__index_(f__nand_(X86,X87),X88) = f__nand_(f__index_(X86,X88),f__index_(X87,X88)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).

fof(f686,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f90,f684]) ).

fof(f684,plain,
    ( spl0_93
  <=> ! [X84,X85,X83] : f__index_(f__xor_(X83,X84),X85) = f__xor_(f__index_(X83,X85),f__index_(X84,X85)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f90,axiom,
    ! [X83,X84,X85] : f__index_(f__xor_(X83,X84),X85) = f__xor_(f__index_(X83,X85),f__index_(X84,X85)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).

fof(f682,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f89,f680]) ).

fof(f680,plain,
    ( spl0_92
  <=> ! [X82,X80,X81] : f__index_(f__or_(X80,X81),X82) = f__or_(f__index_(X80,X82),f__index_(X81,X82)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f89,axiom,
    ! [X82,X80,X81] : f__index_(f__or_(X80,X81),X82) = f__or_(f__index_(X80,X82),f__index_(X81,X82)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).

fof(f678,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f88,f676]) ).

fof(f676,plain,
    ( spl0_91
  <=> ! [X77,X78,X79] : f__index_(f__and_(X77,X78),X79) = f__and_(f__index_(X77,X79),f__index_(X78,X79)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f88,axiom,
    ! [X78,X79,X77] : f__index_(f__and_(X77,X78),X79) = f__and_(f__index_(X77,X79),f__index_(X78,X79)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).

fof(f674,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f85,f672]) ).

fof(f672,plain,
    ( spl0_90
  <=> ! [X69,X67,X68] :
        ( p_LES_EQU_(length(X67),X68)
        | f__index_(f__concat_(X67,X69),X68) = f__index_(X67,X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f85,axiom,
    ! [X68,X69,X67] :
      ( p_LES_EQU_(length(X67),X68)
      | f__index_(f__concat_(X67,X69),X68) = f__index_(X67,X68) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).

fof(f670,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f71,f668]) ).

fof(f668,plain,
    ( spl0_89
  <=> ! [X45,X44] :
        ( p_LES_EQU_(X45,X44)
        | ~ p_LES_EQU_(X45,f_ADD_(X44,n1))
        | f_ADD_(X44,n1) = X45 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f71,axiom,
    ! [X44,X45] :
      ( p_LES_EQU_(X45,X44)
      | ~ p_LES_EQU_(X45,f_ADD_(X44,n1))
      | f_ADD_(X44,n1) = X45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f666,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f41,f664]) ).

fof(f41,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTwr__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

fof(f654,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f142,f652]) ).

fof(f652,plain,
    ( spl0_87
  <=> ! [X32,X30] :
        ( def_89(X30,f_ADD_(X32,X30))
        | f_SUB_(f_ADD_(X32,X30),X30) = X32 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f142,plain,
    ! [X32,X30] :
      ( def_89(X30,f_ADD_(X32,X30))
      | f_SUB_(f_ADD_(X32,X30),X30) = X32 ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,axiom,
    ! [X31,X32,X30] :
      ( def_89(X30,X31)
      | f_ADD_(X32,X30) != X31
      | f_SUB_(X31,X30) = X32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).

fof(f650,plain,
    ( spl0_86
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f505,f458,f200,f648]) ).

fof(f648,plain,
    ( spl0_86
  <=> ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f200,plain,
    ( spl0_13
  <=> ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f505,plain,
    ( ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)),n0)
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(superposition,[],[f201,f459]) ).

fof(f201,plain,
    ( ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f646,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f87,f644]) ).

fof(f644,plain,
    ( spl0_85
  <=> ! [X74,X75,X76,X73] : f__index_(f__slice_(X73,X74,X75),X76) = f__index_(X73,f_ADD_(X76,X74)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f87,axiom,
    ! [X73,X76,X74,X75] : f__index_(f__slice_(X73,X74,X75),X76) = f__index_(X73,f_ADD_(X76,X74)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).

fof(f620,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f81,f618]) ).

fof(f618,plain,
    ( spl0_84
  <=> ! [X57,X56,X58] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f81,axiom,
    ! [X58,X56,X57] : f__length_(f__slice_(X56,X57,X58)) = f_SUB_(X58,f_ADD_(X57,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f616,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f68,f614]) ).

fof(f614,plain,
    ( spl0_83
  <=> ! [X38,X37] :
        ( ~ p_LES_EQU_(X37,X38)
        | X37 = X38
        | p_LES_EQU_(f_ADD_(X37,n1),X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f68,axiom,
    ! [X38,X37] :
      ( ~ p_LES_EQU_(X37,X38)
      | X37 = X38
      | p_LES_EQU_(f_ADD_(X37,n1),X38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).

fof(f558,plain,
    ( spl0_82
    | ~ spl0_12
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f501,f454,f196,f556]) ).

fof(f556,plain,
    ( spl0_82
  <=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) != n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f454,plain,
    ( spl0_65
  <=> ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f501,plain,
    ( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) != n0
    | ~ spl0_12
    | ~ spl0_65 ),
    inference(superposition,[],[f197,f455]) ).

fof(f455,plain,
    ( ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f554,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f141,f552]) ).

fof(f552,plain,
    ( spl0_81
  <=> ! [X30,X31] :
        ( def_89(X30,X31)
        | f_ADD_(f_SUB_(X31,X30),X30) = X31 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f141,plain,
    ! [X31,X30] :
      ( def_89(X30,X31)
      | f_ADD_(f_SUB_(X31,X30),X30) = X31 ),
    inference(equality_resolution,[],[f61]) ).

fof(f61,axiom,
    ! [X31,X32,X30] :
      ( def_89(X30,X31)
      | f_SUB_(X31,X30) != X32
      | f_ADD_(X32,X30) = X31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f550,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f80,f548]) ).

fof(f548,plain,
    ( spl0_80
  <=> ! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f80,axiom,
    ! [X54,X55] : f__length_(f__concat_(X54,X55)) = f_ADD_(f__length_(X54),f__length_(X55)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).

fof(f546,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f75,f544]) ).

fof(f544,plain,
    ( spl0_79
  <=> ! [X50,X49] :
        ( X49 = X50
        | f_ADD_(X49,n1) != f_ADD_(X50,n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f75,axiom,
    ! [X50,X49] :
      ( X49 = X50
      | f_ADD_(X49,n1) != f_ADD_(X50,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

fof(f542,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f66,f540]) ).

fof(f540,plain,
    ( spl0_78
  <=> ! [X34,X33] :
        ( ~ p_LES_EQU_(X33,X34)
        | p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f66,axiom,
    ! [X34,X33] :
      ( ~ p_LES_EQU_(X33,X34)
      | p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).

fof(f538,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f65,f536]) ).

fof(f536,plain,
    ( spl0_77
  <=> ! [X34,X33] :
        ( p_LES_EQU_(X33,X34)
        | ~ p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f65,axiom,
    ! [X34,X33] :
      ( p_LES_EQU_(X33,X34)
      | ~ p_LES_EQU_(f_ADD_(X33,n1),f_ADD_(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).

fof(f517,plain,
    ( spl0_76
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f500,f454,f200,f515]) ).

fof(f515,plain,
    ( spl0_76
  <=> ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f500,plain,
    ( ! [X0] : ~ p_LES_EQU_(f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)),n0)
    | ~ spl0_13
    | ~ spl0_65 ),
    inference(superposition,[],[f201,f455]) ).

fof(f496,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f94,f494]) ).

fof(f494,plain,
    ( spl0_75
  <=> ! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f94,axiom,
    ! [X96,X95] : f__index_(f__not_(X95),X96) = f__not_(f__index_(X95,X96)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_95) ).

fof(f492,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f78,f490]) ).

fof(f490,plain,
    ( spl0_74
  <=> ! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f78,axiom,
    ! [X52,X53] : f__length_(f__cons_(X52,X53)) = f_ADD_(f__length_(X53),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(f488,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f73,f486]) ).

fof(f486,plain,
    ( spl0_73
  <=> ! [X47] :
        ( n0 = X47
        | f_ADD_(y_105(X47),n1) = X47 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f73,axiom,
    ! [X47] :
      ( n0 = X47
      | f_ADD_(y_105(X47),n1) = X47 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(f484,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f70,f482]) ).

fof(f482,plain,
    ( spl0_72
  <=> ! [X41,X43,X42] :
        ( ~ p_LES_EQU_(X41,X42)
        | p_LES_EQU_(X41,X43)
        | p_LES_EQU_(X43,X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f70,axiom,
    ! [X41,X42,X43] :
      ( ~ p_LES_EQU_(X41,X42)
      | p_LES_EQU_(X41,X43)
      | p_LES_EQU_(X43,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f480,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f69,f478]) ).

fof(f478,plain,
    ( spl0_71
  <=> ! [X40,X39] :
        ( ~ p_LES_EQU_(X40,X39)
        | ~ p_LES_EQU_(X39,X40)
        | X39 = X40 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f69,axiom,
    ! [X40,X39] :
      ( ~ p_LES_EQU_(X40,X39)
      | ~ p_LES_EQU_(X39,X40)
      | X39 = X40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

fof(f476,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f11,f474]) ).

fof(f474,plain,
    ( spl0_70
  <=> ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X6,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X6,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f472,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f10,f470]) ).

fof(f470,plain,
    ( spl0_69
  <=> ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f468,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f9,f466]) ).

fof(f466,plain,
    ( spl0_68
  <=> ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X6,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f9,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | n0 = fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(X6,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f464,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f3,f462]) ).

fof(f462,plain,
    ( spl0_67
  <=> ! [X0] : f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) = f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3,axiom,
    ! [X0] : f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1) = f__length_(fwork_DOTfifo_DOTrtl_DOTdata__in_(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f460,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f2,f458]) ).

fof(f2,axiom,
    ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTdata__out_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f456,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f1,f454]) ).

fof(f1,axiom,
    ! [X0] : f__length_(fwork_DOTfifo_DOTrtl_DOTmem_(X0)) = f_ADD_(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f424,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_14
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f410,f335,f204,f421,f417]) ).

fof(f417,plain,
    ( spl0_63
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f421,plain,
    ( spl0_64
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f204,plain,
    ( spl0_14
  <=> ! [X51] : f_ADD_(n0,X51) = X51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f335,plain,
    ( spl0_44
  <=> ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f410,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(n1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(n0))
    | ~ spl0_14
    | ~ spl0_44 ),
    inference(superposition,[],[f336,f205]) ).

fof(f205,plain,
    ( ! [X51] : f_ADD_(n0,X51) = X51
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f336,plain,
    ( ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1)))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f409,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f123,f407]) ).

fof(f407,plain,
    ( spl0_62
  <=> ! [X112,X111] :
        ( p__pred_(X111)
        | p__pred_(X112)
        | p__pred_(f__xnor_(X112,X111)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f123,axiom,
    ! [X111,X112] :
      ( p__pred_(X111)
      | p__pred_(X112)
      | p__pred_(f__xnor_(X112,X111)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).

fof(f405,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f122,f403]) ).

fof(f403,plain,
    ( spl0_61
  <=> ! [X112,X111] :
        ( ~ p__pred_(X111)
        | ~ p__pred_(X112)
        | p__pred_(f__xnor_(X112,X111)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f122,axiom,
    ! [X111,X112] :
      ( ~ p__pred_(X111)
      | ~ p__pred_(X112)
      | p__pred_(f__xnor_(X112,X111)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).

fof(f401,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f121,f399]) ).

fof(f399,plain,
    ( spl0_60
  <=> ! [X112,X111] :
        ( ~ p__pred_(X111)
        | p__pred_(X112)
        | ~ p__pred_(f__xnor_(X112,X111)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f121,axiom,
    ! [X111,X112] :
      ( ~ p__pred_(X111)
      | p__pred_(X112)
      | ~ p__pred_(f__xnor_(X112,X111)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).

fof(f397,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f120,f395]) ).

fof(f395,plain,
    ( spl0_59
  <=> ! [X112,X111] :
        ( ~ p__pred_(X112)
        | p__pred_(X111)
        | ~ p__pred_(f__xnor_(X112,X111)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f120,axiom,
    ! [X111,X112] :
      ( ~ p__pred_(X112)
      | p__pred_(X111)
      | ~ p__pred_(f__xnor_(X112,X111)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).

fof(f393,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f119,f391]) ).

fof(f391,plain,
    ( spl0_58
  <=> ! [X109,X110] :
        ( p__pred_(X110)
        | p__pred_(X109)
        | p__pred_(f__nor_(X110,X109)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f119,axiom,
    ! [X109,X110] :
      ( p__pred_(X110)
      | p__pred_(X109)
      | p__pred_(f__nor_(X110,X109)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f389,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f114,f387]) ).

fof(f387,plain,
    ( spl0_57
  <=> ! [X107,X108] :
        ( ~ p__pred_(X107)
        | ~ p__pred_(X108)
        | ~ p__pred_(f__nand_(X107,X108)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f114,axiom,
    ! [X108,X107] :
      ( ~ p__pred_(X107)
      | ~ p__pred_(X108)
      | ~ p__pred_(f__nand_(X107,X108)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_115) ).

fof(f385,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f113,f383]) ).

fof(f383,plain,
    ( spl0_56
  <=> ! [X105,X106] :
        ( ~ p__pred_(X105)
        | p__pred_(X106)
        | p__pred_(f__xor_(X106,X105)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f113,axiom,
    ! [X106,X105] :
      ( ~ p__pred_(X105)
      | p__pred_(X106)
      | p__pred_(f__xor_(X106,X105)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_114) ).

fof(f381,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f112,f379]) ).

fof(f379,plain,
    ( spl0_55
  <=> ! [X105,X106] :
        ( ~ p__pred_(X106)
        | p__pred_(X105)
        | p__pred_(f__xor_(X106,X105)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f112,axiom,
    ! [X106,X105] :
      ( ~ p__pred_(X106)
      | p__pred_(X105)
      | p__pred_(f__xor_(X106,X105)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).

fof(f377,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f111,f375]) ).

fof(f375,plain,
    ( spl0_54
  <=> ! [X105,X106] :
        ( p__pred_(X105)
        | p__pred_(X106)
        | ~ p__pred_(f__xor_(X106,X105)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f111,axiom,
    ! [X106,X105] :
      ( p__pred_(X105)
      | p__pred_(X106)
      | ~ p__pred_(f__xor_(X106,X105)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).

fof(f373,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f110,f371]) ).

fof(f371,plain,
    ( spl0_53
  <=> ! [X105,X106] :
        ( ~ p__pred_(X105)
        | ~ p__pred_(X106)
        | ~ p__pred_(f__xor_(X106,X105)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f110,axiom,
    ! [X106,X105] :
      ( ~ p__pred_(X105)
      | ~ p__pred_(X106)
      | ~ p__pred_(f__xor_(X106,X105)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).

fof(f369,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f107,f367]) ).

fof(f367,plain,
    ( spl0_52
  <=> ! [X104,X103] :
        ( p__pred_(X103)
        | p__pred_(X104)
        | ~ p__pred_(f__or_(X103,X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f107,axiom,
    ! [X104,X103] :
      ( p__pred_(X103)
      | p__pred_(X104)
      | ~ p__pred_(f__or_(X103,X104)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).

fof(f365,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f106,f363]) ).

fof(f363,plain,
    ( spl0_51
  <=> ! [X102,X101] :
        ( ~ p__pred_(X102)
        | ~ p__pred_(X101)
        | p__pred_(f__and_(X102,X101)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f106,axiom,
    ! [X101,X102] :
      ( ~ p__pred_(X102)
      | ~ p__pred_(X101)
      | p__pred_(f__and_(X102,X101)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).

fof(f361,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f101,f359]) ).

fof(f359,plain,
    ( spl0_50
  <=> ! [X98,X97] :
        ( p__pred_(X97)
        | p__pred_(X98)
        | p__pred_(f__equiv_(X98,X97)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f101,axiom,
    ! [X98,X97] :
      ( p__pred_(X97)
      | p__pred_(X98)
      | p__pred_(f__equiv_(X98,X97)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f357,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f100,f355]) ).

fof(f355,plain,
    ( spl0_49
  <=> ! [X98,X97] :
        ( ~ p__pred_(X97)
        | ~ p__pred_(X98)
        | p__pred_(f__equiv_(X98,X97)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f100,axiom,
    ! [X98,X97] :
      ( ~ p__pred_(X97)
      | ~ p__pred_(X98)
      | p__pred_(f__equiv_(X98,X97)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).

fof(f353,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f99,f351]) ).

fof(f351,plain,
    ( spl0_48
  <=> ! [X98,X97] :
        ( ~ p__pred_(X97)
        | p__pred_(X98)
        | ~ p__pred_(f__equiv_(X98,X97)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f99,axiom,
    ! [X98,X97] :
      ( ~ p__pred_(X97)
      | p__pred_(X98)
      | ~ p__pred_(f__equiv_(X98,X97)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).

fof(f349,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f98,f347]) ).

fof(f347,plain,
    ( spl0_47
  <=> ! [X98,X97] :
        ( ~ p__pred_(X98)
        | p__pred_(X97)
        | ~ p__pred_(f__equiv_(X98,X97)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f98,axiom,
    ! [X98,X97] :
      ( ~ p__pred_(X98)
      | p__pred_(X97)
      | ~ p__pred_(f__equiv_(X98,X97)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_99) ).

fof(f345,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f60,f343]) ).

fof(f343,plain,
    ( spl0_46
  <=> ! [X29] :
        ( p_LES_EQU_(X29,n0)
        | ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f60,axiom,
    ! [X29] :
      ( p_LES_EQU_(X29,n0)
      | ~ p_LES_EQU_(X29,f_SUB_(X29,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f341,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f13,f339]) ).

fof(f339,plain,
    ( spl0_45
  <=> ! [X6] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
        | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f13,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f337,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f12,f335]) ).

fof(f12,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X6,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f328,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f140,f326]) ).

fof(f326,plain,
    ( spl0_43
  <=> ! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f140,plain,
    ! [X62,X63] : f__index_(f__cons_(X62,X63),n0) = X62,
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X62,X63,X61] :
      ( n0 != X61
      | f__index_(f__cons_(X62,X63),X61) = X62 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

fof(f324,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f133,f322]) ).

fof(f322,plain,
    ( spl0_42
  <=> ! [X121,X120] :
        ( ~ p_LES_EQU_(X120,X121)
        | p__pred_(f__geq_(X121,X120)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f133,axiom,
    ! [X120,X121] :
      ( ~ p_LES_EQU_(X120,X121)
      | p__pred_(f__geq_(X121,X120)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_134) ).

fof(f320,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f132,f318]) ).

fof(f318,plain,
    ( spl0_41
  <=> ! [X121,X120] :
        ( p_LES_EQU_(X120,X121)
        | ~ p__pred_(f__geq_(X121,X120)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f132,axiom,
    ! [X120,X121] :
      ( p_LES_EQU_(X120,X121)
      | ~ p__pred_(f__geq_(X121,X120)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).

fof(f316,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f131,f314]) ).

fof(f314,plain,
    ( spl0_40
  <=> ! [X118,X119] :
        ( p_LES_EQU_(X118,X119)
        | p__pred_(f__gt_(X118,X119)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f131,axiom,
    ! [X118,X119] :
      ( p_LES_EQU_(X118,X119)
      | p__pred_(f__gt_(X118,X119)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

fof(f312,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f130,f310]) ).

fof(f310,plain,
    ( spl0_39
  <=> ! [X118,X119] :
        ( ~ p_LES_EQU_(X118,X119)
        | ~ p__pred_(f__gt_(X118,X119)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f130,axiom,
    ! [X118,X119] :
      ( ~ p_LES_EQU_(X118,X119)
      | ~ p__pred_(f__gt_(X118,X119)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).

fof(f308,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f129,f306]) ).

fof(f306,plain,
    ( spl0_38
  <=> ! [X116,X117] :
        ( ~ p_LES_EQU_(X116,X117)
        | p__pred_(f__leq_(X116,X117)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f129,axiom,
    ! [X116,X117] :
      ( ~ p_LES_EQU_(X116,X117)
      | p__pred_(f__leq_(X116,X117)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).

fof(f304,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f128,f302]) ).

fof(f302,plain,
    ( spl0_37
  <=> ! [X116,X117] :
        ( p_LES_EQU_(X116,X117)
        | ~ p__pred_(f__leq_(X116,X117)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f128,axiom,
    ! [X116,X117] :
      ( p_LES_EQU_(X116,X117)
      | ~ p__pred_(f__leq_(X116,X117)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).

fof(f300,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f127,f298]) ).

fof(f298,plain,
    ( spl0_36
  <=> ! [X114,X115] :
        ( p_LES_EQU_(X114,X115)
        | p__pred_(f__lt_(X115,X114)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f127,axiom,
    ! [X114,X115] :
      ( p_LES_EQU_(X114,X115)
      | p__pred_(f__lt_(X115,X114)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).

fof(f296,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f126,f294]) ).

fof(f294,plain,
    ( spl0_35
  <=> ! [X114,X115] :
        ( ~ p_LES_EQU_(X114,X115)
        | ~ p__pred_(f__lt_(X115,X114)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f126,axiom,
    ! [X114,X115] :
      ( ~ p_LES_EQU_(X114,X115)
      | ~ p__pred_(f__lt_(X115,X114)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).

fof(f292,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f102,f290]) ).

fof(f290,plain,
    ( spl0_34
  <=> ! [X100,X99] :
        ( X99 = X100
        | ~ p__pred_(f__equal_(X99,X100)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f102,axiom,
    ! [X99,X100] :
      ( X99 = X100
      | ~ p__pred_(f__equal_(X99,X100)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).

fof(f288,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f8,f286]) ).

fof(f286,plain,
    ( spl0_33
  <=> ! [X5] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
        | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
      | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f284,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f7,f282]) ).

fof(f282,plain,
    ( spl0_32
  <=> ! [X4] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
        | fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f7,axiom,
    ! [X4] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f280,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f6,f278]) ).

fof(f278,plain,
    ( spl0_31
  <=> ! [X3] :
        ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
        | fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
      | fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f276,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f5,f274]) ).

fof(f274,plain,
    ( spl0_30
  <=> ! [X2] :
        ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
        | fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f5,axiom,
    ! [X2] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X2))
      | fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f271,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f216,f204,f196,f268]) ).

fof(f268,plain,
    ( spl0_29
  <=> n1 = n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f216,plain,
    ( n1 != n0
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f197,f205]) ).

fof(f266,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f118,f264]) ).

fof(f264,plain,
    ( spl0_28
  <=> ! [X109,X110] :
        ( ~ p__pred_(X110)
        | ~ p__pred_(f__nor_(X110,X109)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f118,axiom,
    ! [X109,X110] :
      ( ~ p__pred_(X110)
      | ~ p__pred_(f__nor_(X110,X109)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).

fof(f262,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f117,f260]) ).

fof(f260,plain,
    ( spl0_27
  <=> ! [X109,X110] :
        ( ~ p__pred_(X109)
        | ~ p__pred_(f__nor_(X110,X109)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f117,axiom,
    ! [X109,X110] :
      ( ~ p__pred_(X109)
      | ~ p__pred_(f__nor_(X110,X109)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).

fof(f258,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f116,f256]) ).

fof(f256,plain,
    ( spl0_26
  <=> ! [X107,X108] :
        ( p__pred_(X107)
        | p__pred_(f__nand_(X107,X108)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f116,axiom,
    ! [X108,X107] :
      ( p__pred_(X107)
      | p__pred_(f__nand_(X107,X108)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).

fof(f254,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f115,f252]) ).

fof(f252,plain,
    ( spl0_25
  <=> ! [X108,X107] :
        ( p__pred_(X108)
        | p__pred_(f__nand_(X107,X108)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f115,axiom,
    ! [X108,X107] :
      ( p__pred_(X108)
      | p__pred_(f__nand_(X107,X108)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).

fof(f250,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f109,f248]) ).

fof(f248,plain,
    ( spl0_24
  <=> ! [X104,X103] :
        ( ~ p__pred_(X103)
        | p__pred_(f__or_(X103,X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f109,axiom,
    ! [X104,X103] :
      ( ~ p__pred_(X103)
      | p__pred_(f__or_(X103,X104)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).

fof(f246,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f108,f244]) ).

fof(f244,plain,
    ( spl0_23
  <=> ! [X103,X104] :
        ( ~ p__pred_(X104)
        | p__pred_(f__or_(X103,X104)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f108,axiom,
    ! [X104,X103] :
      ( ~ p__pred_(X104)
      | p__pred_(f__or_(X103,X104)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).

fof(f242,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f105,f240]) ).

fof(f240,plain,
    ( spl0_22
  <=> ! [X102,X101] :
        ( p__pred_(X102)
        | ~ p__pred_(f__and_(X102,X101)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f105,axiom,
    ! [X101,X102] :
      ( p__pred_(X102)
      | ~ p__pred_(f__and_(X102,X101)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).

fof(f238,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f104,f236]) ).

fof(f236,plain,
    ( spl0_21
  <=> ! [X102,X101] :
        ( p__pred_(X101)
        | ~ p__pred_(f__and_(X102,X101)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f104,axiom,
    ! [X101,X102] :
      ( p__pred_(X101)
      | ~ p__pred_(f__and_(X102,X101)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).

fof(f234,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f82,f232]) ).

fof(f232,plain,
    ( spl0_20
  <=> ! [X60,X59] : f__index_(f__others_(X59),X60) = X59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f82,axiom,
    ! [X59,X60] : f__index_(f__others_(X59),X60) = X59,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).

fof(f230,plain,
    ( ~ spl0_19
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f215,f204,f200,f227]) ).

fof(f227,plain,
    ( spl0_19
  <=> p_LES_EQU_(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f215,plain,
    ( ~ p_LES_EQU_(n1,n0)
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f201,f205]) ).

fof(f225,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f72,f223]) ).

fof(f223,plain,
    ( spl0_18
  <=> ! [X46] :
        ( ~ p_LES_EQU_(X46,n0)
        | n0 = X46 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f72,axiom,
    ! [X46] :
      ( ~ p_LES_EQU_(X46,n0)
      | n0 = X46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

fof(f221,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f64,f219]) ).

fof(f219,plain,
    ( spl0_17
  <=> ! [X30,X31] :
        ( ~ def_89(X30,X31)
        | p_LES_EQU_(X31,X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f64,axiom,
    ! [X31,X30] :
      ( ~ def_89(X30,X31)
      | p_LES_EQU_(X31,X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

fof(f214,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f125,f212]) ).

fof(f212,plain,
    ( spl0_16
  <=> ! [X113] :
        ( p__pred_(X113)
        | p__pred_(f__not_(X113)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f125,axiom,
    ! [X113] :
      ( p__pred_(X113)
      | p__pred_(f__not_(X113)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).

fof(f210,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f124,f208]) ).

fof(f208,plain,
    ( spl0_15
  <=> ! [X113] :
        ( ~ p__pred_(X113)
        | ~ p__pred_(f__not_(X113)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f124,axiom,
    ! [X113] :
      ( ~ p__pred_(X113)
      | ~ p__pred_(f__not_(X113)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).

fof(f206,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f76,f204]) ).

fof(f76,axiom,
    ! [X51] : f_ADD_(n0,X51) = X51,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

fof(f202,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f59,f200]) ).

fof(f59,axiom,
    ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

fof(f198,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f58,f196]) ).

fof(f58,axiom,
    ! [X27] : n0 != f_ADD_(X27,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).

fof(f194,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f139,f192]) ).

fof(f192,plain,
    ( spl0_11
  <=> ! [X100] : p__pred_(f__equal_(X100,X100)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f139,plain,
    ! [X100] : p__pred_(f__equal_(X100,X100)),
    inference(equality_resolution,[],[f103]) ).

fof(f103,axiom,
    ! [X99,X100] :
      ( X99 != X100
      | p__pred_(f__equal_(X99,X100)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).

fof(f190,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f79,f187]) ).

fof(f187,plain,
    ( spl0_10
  <=> n0 = f__length_(f__empty_) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f79,axiom,
    n0 = f__length_(f__empty_),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f185,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f138,f183]) ).

fof(f183,plain,
    ( spl0_9
  <=> ! [X31] : ~ def_89(X31,X31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f138,plain,
    ! [X31] : ~ def_89(X31,X31),
    inference(equality_resolution,[],[f63]) ).

fof(f63,axiom,
    ! [X31,X30] :
      ( X30 != X31
      | ~ def_89(X30,X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

fof(f181,plain,
    ~ spl0_8,
    inference(avatar_split_clause,[],[f97,f178]) ).

fof(f178,plain,
    ( spl0_8
  <=> f__true_ = f__false_ ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f97,axiom,
    f__true_ != f__false_,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).

fof(f176,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f74,f174]) ).

fof(f174,plain,
    ( spl0_7
  <=> ! [X48] : p_LES_EQU_(X48,X48) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f74,axiom,
    ! [X48] : p_LES_EQU_(X48,X48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(f172,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f96,f169]) ).

fof(f169,plain,
    ( spl0_6
  <=> p__pred_(f__false_) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f96,axiom,
    ~ p__pred_(f__false_),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).

fof(f167,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f95,f164]) ).

fof(f164,plain,
    ( spl0_5
  <=> p__pred_(f__true_) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f95,axiom,
    p__pred_(f__true_),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).

fof(f162,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f136,f159]) ).

fof(f136,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

fof(f157,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f137,f154]) ).

fof(f137,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

fof(f152,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f135,f149]) ).

fof(f135,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f147,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f134,f144]) ).

fof(f134,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : HWV025-2 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 05:23:11 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (30715)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (30718)WARNING: value z3 for option sas not known
% 0.15/0.37  % (30716)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (30718)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (30717)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (30719)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (30720)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37  % (30721)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (30722)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  % (30720)First to succeed.
% 0.15/0.41  % (30720)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (30720)------------------------------
% 0.15/0.41  % (30720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41  % (30720)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (30720)Memory used [KB]: 1532
% 0.15/0.41  % (30720)Time elapsed: 0.036 s
% 0.15/0.41  % (30720)Instructions burned: 57 (million)
% 0.15/0.41  % (30720)------------------------------
% 0.15/0.41  % (30720)------------------------------
% 0.15/0.41  % (30715)Success in time 0.046 s
%------------------------------------------------------------------------------