TSTP Solution File: HWV027-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV027-1 : 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 : n014.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 06:34:23 EDT 2024

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  145
% Syntax   : Number of formulae    :  239 (  81 unt;   0 def)
%            Number of atoms       :  704 (  81 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  691 ( 226   ~; 390   |;   0   &)
%                                         (  75 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   89 (  87 usr;  76 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  202 ( 202   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f590,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f108,f113,f118,f122,f126,f130,f134,f138,f144,f148,f152,f156,f160,f165,f169,f173,f177,f184,f189,f194,f198,f202,f206,f210,f215,f219,f223,f242,f246,f250,f254,f258,f262,f266,f295,f310,f314,f330,f334,f338,f344,f348,f373,f377,f381,f385,f407,f411,f415,f419,f423,f428,f432,f436,f440,f444,f448,f452,f456,f504,f509,f513,f530,f534,f538,f542,f546,f550,f572,f576,f580,f584,f588,f589]) ).

fof(f589,plain,
    ( spl0_4
    | spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f398,f383,f110,f105,f100,f115]) ).

fof(f115,plain,
    ( spl0_4
  <=> int_level(t_139) = int_level(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f100,plain,
    ( spl0_1
  <=> p_Wr(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f105,plain,
    ( spl0_2
  <=> p_Rd(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f110,plain,
    ( spl0_3
  <=> p_Reset(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f383,plain,
    ( spl0_48
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f398,plain,
    ( p_Rd(t_139)
    | p_Wr(t_139)
    | int_level(t_139) = int_level(plus(t_139,n1))
    | spl0_3
    | ~ spl0_48 ),
    inference(resolution,[],[f384,f112]) ).

fof(f112,plain,
    ( ~ p_Reset(t_139)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f384,plain,
    ( ! [X34] :
        ( p_Reset(X34)
        | p_Rd(X34)
        | p_Wr(X34)
        | int_level(X34) = int_level(plus(X34,n1)) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f588,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f80,f586]) ).

fof(f586,plain,
    ( spl0_75
  <=> ! [X34,X47] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X47,X34)
        | gt(int_level(X34),n0)
        | p_Data_out(X47,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f80,axiom,
    ! [X47,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X47,X34)
      | gt(int_level(X34),n0)
      | p_Data_out(X47,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).

fof(f584,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f79,f582]) ).

fof(f582,plain,
    ( spl0_74
  <=> ! [X34,X47] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Data_out(X47,X34)
        | gt(int_level(X34),n0)
        | ~ p_Data_out(X47,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f79,axiom,
    ! [X47,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Data_out(X47,X34)
      | gt(int_level(X34),n0)
      | ~ p_Data_out(X47,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).

fof(f580,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f68,f578]) ).

fof(f578,plain,
    ( spl0_73
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | n0 = wr_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),wr_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f68,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | n0 = wr_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),wr_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).

fof(f576,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f62,f574]) ).

fof(f574,plain,
    ( spl0_72
  <=> ! [X34,X42] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X42,X34)
        | gt(int_level(X34),n0)
        | p_Data_out(X42,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f62,axiom,
    ! [X34,X42] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X42,X34)
      | gt(int_level(X34),n0)
      | p_Data_out(X42,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).

fof(f572,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f61,f570]) ).

fof(f570,plain,
    ( spl0_71
  <=> ! [X34,X42] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X42,X34)
        | gt(int_level(X34),n0)
        | ~ p_Data_out(X42,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f61,axiom,
    ! [X34,X42] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X42,X34)
      | gt(int_level(X34),n0)
      | ~ p_Data_out(X42,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f550,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f78,f548]) ).

fof(f548,plain,
    ( spl0_70
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f78,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).

fof(f546,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f77,f544]) ).

fof(f544,plain,
    ( spl0_69
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f77,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).

fof(f542,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f60,f540]) ).

fof(f540,plain,
    ( spl0_68
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f60,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f538,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f53,f536]) ).

fof(f536,plain,
    ( spl0_67
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f53,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).

fof(f534,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f44,f532]) ).

fof(f532,plain,
    ( spl0_66
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f44,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f530,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f43,f528]) ).

fof(f528,plain,
    ( spl0_65
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | wr_level(X34) = wr_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f43,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | wr_level(X34) = wr_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f513,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f64,f511]) ).

fof(f511,plain,
    ( spl0_64
  <=> ! [X34,X43] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_in(X43,X34)
        | p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f64,axiom,
    ! [X34,X43] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_in(X43,X34)
      | p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f509,plain,
    ( spl0_63
    | spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f392,f379,f110,f105,f100,f506]) ).

fof(f506,plain,
    ( spl0_63
  <=> rd_level(plus(t_139,n1)) = rd_level(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f379,plain,
    ( spl0_47
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f392,plain,
    ( p_Rd(t_139)
    | p_Wr(t_139)
    | rd_level(plus(t_139,n1)) = rd_level(t_139)
    | spl0_3
    | ~ spl0_47 ),
    inference(resolution,[],[f380,f112]) ).

fof(f380,plain,
    ( ! [X34] :
        ( p_Reset(X34)
        | p_Rd(X34)
        | p_Wr(X34)
        | rd_level(plus(X34,n1)) = rd_level(X34) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f504,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f63,f502]) ).

fof(f502,plain,
    ( spl0_62
  <=> ! [X34,X43] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Data_in(X43,X34)
        | ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f63,axiom,
    ! [X34,X43] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Data_in(X43,X34)
      | ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).

fof(f456,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f88,f454]) ).

fof(f454,plain,
    ( spl0_61
  <=> ! [X34,X50,X49] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Mem(X49,X50,X34)
        | p_Mem(X49,X50,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f88,axiom,
    ! [X50,X49,X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Mem(X49,X50,X34)
      | p_Mem(X49,X50,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).

fof(f452,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f87,f450]) ).

fof(f450,plain,
    ( spl0_60
  <=> ! [X34,X50,X49] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | p_Mem(X49,X50,X34)
        | ~ p_Mem(X49,X50,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f87,axiom,
    ! [X50,X49,X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | p_Mem(X49,X50,X34)
      | ~ p_Mem(X49,X50,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).

fof(f448,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f84,f446]) ).

fof(f446,plain,
    ( spl0_59
  <=> ! [X34,X48] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X48,X34)
        | p_Data_out(X48,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f84,axiom,
    ! [X48,X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X48,X34)
      | p_Data_out(X48,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).

fof(f444,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f83,f442]) ).

fof(f442,plain,
    ( spl0_58
  <=> ! [X34,X48] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X48,X34)
        | ~ p_Data_out(X48,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f83,axiom,
    ! [X48,X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X48,X34)
      | ~ p_Data_out(X48,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).

fof(f440,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f76,f438]) ).

fof(f438,plain,
    ( spl0_57
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1))
        | gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f76,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1))
      | gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(f436,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f70,f434]) ).

fof(f434,plain,
    ( spl0_56
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1))
        | ~ gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f70,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1))
      | ~ gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).

fof(f432,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f58,f430]) ).

fof(f430,plain,
    ( spl0_55
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1))
        | gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f58,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1))
      | gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f428,plain,
    ( spl0_54
    | spl0_1
    | spl0_3
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f323,f312,f110,f100,f425]) ).

fof(f425,plain,
    ( spl0_54
  <=> wr_level(t_139) = wr_level(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f312,plain,
    ( spl0_39
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f323,plain,
    ( p_Wr(t_139)
    | wr_level(t_139) = wr_level(plus(t_139,n1))
    | spl0_3
    | ~ spl0_39 ),
    inference(resolution,[],[f313,f112]) ).

fof(f313,plain,
    ( ! [X34] :
        ( p_Reset(X34)
        | p_Wr(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f423,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f52,f421]) ).

fof(f421,plain,
    ( spl0_53
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1))
        | ~ gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f52,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1))
      | ~ gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).

fof(f419,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f48,f417]) ).

fof(f417,plain,
    ( spl0_52
  <=> ! [X34,X40] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X40,X34)
        | p_Data_out(X40,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f48,axiom,
    ! [X40,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X40,X34)
      | p_Data_out(X40,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).

fof(f415,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f47,f413]) ).

fof(f413,plain,
    ( spl0_51
  <=> ! [X34,X40] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X40,X34)
        | ~ p_Data_out(X40,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f47,axiom,
    ! [X40,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X40,X34)
      | ~ p_Data_out(X40,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

fof(f411,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f42,f409]) ).

fof(f409,plain,
    ( spl0_50
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Wr_error(plus(X34,n1))
        | gt(fifo_length,int_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f42,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Wr_error(plus(X34,n1))
      | gt(fifo_length,int_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

fof(f407,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f34,f405]) ).

fof(f405,plain,
    ( spl0_49
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1))
        | ~ gt(fifo_length,int_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f34,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1))
      | ~ gt(fifo_length,int_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f385,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f82,f383]) ).

fof(f82,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).

fof(f381,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f81,f379]) ).

fof(f81,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).

fof(f377,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f33,f375]) ).

fof(f375,plain,
    ( spl0_46
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f33,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f373,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f14,f371]) ).

fof(f371,plain,
    ( spl0_45
  <=> ! [X18,X17] :
        ( ~ gt(X17,X18)
        | plus(X18,n1) = X17
        | gt(X17,plus(X18,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f14,axiom,
    ! [X18,X17] :
      ( ~ gt(X17,X18)
      | plus(X18,n1) = X17
      | gt(X17,plus(X18,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f348,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f98,f346]) ).

fof(f346,plain,
    ( spl0_44
  <=> ! [X4,X5] :
        ( def_10(X4,plus(X5,X4))
        | minus(plus(X5,X4),X4) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f98,plain,
    ! [X4,X5] :
      ( def_10(X4,plus(X5,X4))
      | minus(plus(X5,X4),X4) = X5 ),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( def_10(X4,X3)
      | plus(X5,X4) != X3
      | minus(X3,X4) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f344,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f86,f342]) ).

fof(f342,plain,
    ( spl0_43
  <=> ! [X34] :
        ( ~ p_Rd_error(X34)
        | p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f86,axiom,
    ! [X34] :
      ( ~ p_Rd_error(X34)
      | p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).

fof(f338,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f85,f336]) ).

fof(f336,plain,
    ( spl0_42
  <=> ! [X34] :
        ( p_Rd_error(X34)
        | p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f85,axiom,
    ! [X34] :
      ( p_Rd_error(X34)
      | p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).

fof(f334,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f50,f332]) ).

fof(f332,plain,
    ( spl0_41
  <=> ! [X34] :
        ( ~ p_Rd_error(X34)
        | ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f50,axiom,
    ! [X34] :
      ( ~ p_Rd_error(X34)
      | ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).

fof(f330,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f49,f328]) ).

fof(f328,plain,
    ( spl0_40
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd_error(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f49,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd_error(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).

fof(f314,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f69,f312]) ).

fof(f69,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | wr_level(X34) = wr_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).

fof(f310,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f11,f308]) ).

fof(f308,plain,
    ( spl0_38
  <=> ! [X11,X10] :
        ( X10 = X11
        | gt(X10,X11)
        | ~ gt(plus(X10,n1),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f11,axiom,
    ! [X10,X11] :
      ( X10 = X11
      | gt(X10,X11)
      | ~ gt(plus(X10,n1),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f295,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f179,f171,f136,f292,f288]) ).

fof(f288,plain,
    ( spl0_36
  <=> p_Reset(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f292,plain,
    ( spl0_37
  <=> p_Wr_error(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f136,plain,
    ( spl0_9
  <=> ! [X24] : plus(n0,X24) = X24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f171,plain,
    ( spl0_17
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Wr_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f179,plain,
    ( ~ p_Wr_error(n1)
    | ~ p_Reset(n0)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(superposition,[],[f172,f137]) ).

fof(f137,plain,
    ( ! [X24] : plus(n0,X24) = X24
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f172,plain,
    ( ! [X30] :
        ( ~ p_Wr_error(plus(X30,n1))
        | ~ p_Reset(X30) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f266,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f97,f264]) ).

fof(f264,plain,
    ( spl0_35
  <=> ! [X4,X3] :
        ( def_10(X4,X3)
        | plus(minus(X3,X4),X4) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f97,plain,
    ! [X3,X4] :
      ( def_10(X4,X3)
      | plus(minus(X3,X4),X4) = X3 ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X5] :
      ( def_10(X4,X3)
      | minus(X3,X4) != X5
      | plus(X5,X4) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f262,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f90,f260]) ).

fof(f260,plain,
    ( spl0_34
  <=> ! [X34] :
        ( ~ p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f90,axiom,
    ! [X34] :
      ( ~ p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).

fof(f258,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f89,f256]) ).

fof(f256,plain,
    ( spl0_33
  <=> ! [X34] :
        ( p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f89,axiom,
    ! [X34] :
      ( p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).

fof(f254,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f51,f252]) ).

fof(f252,plain,
    ( spl0_32
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f51,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).

fof(f250,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f18,f248]) ).

fof(f248,plain,
    ( spl0_31
  <=> ! [X22,X23] :
        ( X22 = X23
        | plus(X22,n1) != plus(X23,n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f18,axiom,
    ! [X22,X23] :
      ( X22 = X23
      | plus(X22,n1) != plus(X23,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f246,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f9,f244]) ).

fof(f244,plain,
    ( spl0_30
  <=> ! [X6,X7] :
        ( gt(X6,X7)
        | ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( gt(X6,X7)
      | ~ gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f242,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f8,f240]) ).

fof(f240,plain,
    ( spl0_29
  <=> ! [X6,X7] :
        ( ~ gt(X6,X7)
        | gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( ~ gt(X6,X7)
      | gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f223,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f16,f221]) ).

fof(f221,plain,
    ( spl0_28
  <=> ! [X20] :
        ( n0 = X20
        | plus(y_27(X20),n1) = X20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f16,axiom,
    ! [X20] :
      ( n0 = X20
      | plus(y_27(X20),n1) = X20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(f219,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f13,f217]) ).

fof(f217,plain,
    ( spl0_27
  <=> ! [X16,X14,X15] :
        ( ~ gt(X15,X16)
        | ~ gt(X14,X15)
        | gt(X14,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f13,axiom,
    ! [X16,X14,X15] :
      ( ~ gt(X15,X16)
      | ~ gt(X14,X15)
      | gt(X14,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f215,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f12,f213]) ).

fof(f213,plain,
    ( spl0_26
  <=> ! [X13,X12] :
        ( X12 = X13
        | gt(X12,X13)
        | gt(X13,X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f12,axiom,
    ! [X12,X13] :
      ( X12 = X13
      | gt(X12,X13)
      | gt(X13,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f210,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f31,f208]) ).

fof(f208,plain,
    ( spl0_25
  <=> ! [X32,X30,X31] :
        ( ~ p_Reset(X30)
        | ~ p_Mem(X31,X32,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f31,axiom,
    ! [X31,X32,X30] :
      ( ~ p_Reset(X30)
      | ~ p_Mem(X31,X32,plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f206,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f28,f204]) ).

fof(f204,plain,
    ( spl0_24
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = rd_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f28,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = rd_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f202,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f27,f200]) ).

fof(f200,plain,
    ( spl0_23
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = wr_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f27,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = wr_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f198,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f26,f196]) ).

fof(f196,plain,
    ( spl0_22
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = int_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f26,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = int_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f194,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f3,f192]) ).

fof(f192,plain,
    ( spl0_21
  <=> ! [X2] :
        ( ~ gt(X2,n0)
        | gt(X2,minus(X2,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3,axiom,
    ! [X2] :
      ( ~ gt(X2,n0)
      | gt(X2,minus(X2,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f189,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f32,f187]) ).

fof(f187,plain,
    ( spl0_20
  <=> ! [X30,X33] :
        ( ~ p_Reset(X30)
        | ~ p_Data_out(X33,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f32,axiom,
    ! [X30,X33] :
      ( ~ p_Reset(X30)
      | ~ p_Data_out(X33,plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f184,plain,
    ( ~ spl0_19
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f140,f136,f128,f181]) ).

fof(f181,plain,
    ( spl0_19
  <=> n1 = n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f128,plain,
    ( spl0_7
  <=> ! [X0] : plus(X0,n1) != n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f140,plain,
    ( n1 != n0
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f129,f137]) ).

fof(f129,plain,
    ( ! [X0] : plus(X0,n1) != n0
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f177,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f30,f175]) ).

fof(f175,plain,
    ( spl0_18
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Rd_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f30,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Rd_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f173,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f29,f171]) ).

fof(f29,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Wr_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

fof(f169,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f25,f167]) ).

fof(f167,plain,
    ( spl0_16
  <=> ! [X29] :
        ( ~ p_Empty(X29)
        | n0 = int_level(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f165,plain,
    ( spl0_15
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f139,f136,f132,f162]) ).

fof(f162,plain,
    ( spl0_15
  <=> gt(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f132,plain,
    ( spl0_8
  <=> ! [X1] : gt(plus(X1,n1),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f139,plain,
    ( gt(n1,n0)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f133,f137]) ).

fof(f133,plain,
    ( ! [X1] : gt(plus(X1,n1),n0)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f160,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f24,f158]) ).

fof(f158,plain,
    ( spl0_14
  <=> ! [X28] :
        ( p_Empty(X28)
        | n0 != int_level(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f24,axiom,
    ! [X28] :
      ( p_Empty(X28)
      | n0 != int_level(X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f156,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f23,f154]) ).

fof(f154,plain,
    ( spl0_13
  <=> ! [X27] :
        ( ~ p_Full(X27)
        | fifo_length = int_level(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f23,axiom,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(f152,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f22,f150]) ).

fof(f150,plain,
    ( spl0_12
  <=> ! [X26] :
        ( p_Full(X26)
        | int_level(X26) != fifo_length ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f22,axiom,
    ! [X26] :
      ( p_Full(X26)
      | int_level(X26) != fifo_length ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(f148,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f15,f146]) ).

fof(f146,plain,
    ( spl0_11
  <=> ! [X19] :
        ( n0 = X19
        | gt(X19,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f15,axiom,
    ! [X19] :
      ( n0 = X19
      | gt(X19,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f144,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f6,f142]) ).

fof(f142,plain,
    ( spl0_10
  <=> ! [X4,X3] :
        ( ~ def_10(X4,X3)
        | ~ gt(X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ def_10(X4,X3)
      | ~ gt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f138,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f19,f136]) ).

fof(f19,axiom,
    ! [X24] : plus(n0,X24) = X24,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f134,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f2,f132]) ).

fof(f2,axiom,
    ! [X1] : gt(plus(X1,n1),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f130,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f1,f128]) ).

fof(f1,axiom,
    ! [X0] : plus(X0,n1) != n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f126,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f96,f124]) ).

fof(f124,plain,
    ( spl0_6
  <=> ! [X4] : ~ def_10(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f96,plain,
    ! [X4] : ~ def_10(X4,X4),
    inference(equality_resolution,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( X3 != X4
      | ~ def_10(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f122,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f17,f120]) ).

fof(f120,plain,
    ( spl0_5
  <=> ! [X21] : ~ gt(X21,X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f17,axiom,
    ! [X21] : ~ gt(X21,X21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f118,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f95,f115]) ).

fof(f95,plain,
    int_level(t_139) != int_level(plus(t_139,n1)),
    inference(definition_unfolding,[],[f94,f21,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f94,axiom,
    level(t_139) != level(plus(t_139,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f113,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f93,f110]) ).

fof(f93,axiom,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f108,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f92,f105]) ).

fof(f92,axiom,
    ~ p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f103,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f91,f100]) ).

fof(f91,axiom,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWV027-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 21:39:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.18/0.36  % (13775)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38  % (13778)WARNING: value z3 for option sas not known
% 0.18/0.38  % (13780)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)
% 0.18/0.38  % (13777)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.38  % (13781)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)
% 0.18/0.38  % (13778)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)
% 0.18/0.38  % (13782)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)
% 0.18/0.38  % (13779)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.38  % (13776)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.39  TRYING [1]
% 0.18/0.39  TRYING [2]
% 0.18/0.39  % (13780)First to succeed.
% 0.18/0.39  % (13780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13775"
% 0.18/0.39  TRYING [3]
% 0.18/0.40  % (13780)Refutation found. Thanks to Tanya!
% 0.18/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.40  % (13780)------------------------------
% 0.18/0.40  % (13780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.40  % (13780)Termination reason: Refutation
% 0.18/0.40  
% 0.18/0.40  % (13780)Memory used [KB]: 1111
% 0.18/0.40  % (13780)Time elapsed: 0.017 s
% 0.18/0.40  % (13780)Instructions burned: 28 (million)
% 0.18/0.40  % (13775)Success in time 0.034 s
%------------------------------------------------------------------------------