TSTP Solution File: HWV020-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV020-1 : 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 : n024.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 06:33:57 EDT 2024

% Result   : Unsatisfiable 0.11s 0.39s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  183
% Syntax   : Number of formulae    :  308 (  96 unt;   0 def)
%            Number of atoms       :  991 ( 103 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 1032 ( 349   ~; 587   |;   0   &)
%                                         (  96 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  110 ( 108 usr;  97 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  266 ( 266   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f870,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f108,f113,f118,f127,f131,f135,f139,f143,f147,f153,f157,f162,f166,f170,f174,f178,f182,f186,f192,f199,f204,f208,f212,f216,f221,f225,f230,f234,f238,f259,f263,f267,f271,f275,f279,f283,f298,f327,f331,f347,f351,f355,f359,f363,f390,f394,f398,f402,f420,f424,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f521,f525,f542,f546,f550,f554,f558,f562,f590,f594,f599,f609,f613,f617,f657,f662,f666,f670,f703,f707,f711,f715,f719,f722,f726,f730,f734,f738,f742,f851,f860,f864,f868,f869]) ).

fof(f869,plain,
    ( spl0_6
    | ~ spl0_17
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f805,f659,f172,f124]) ).

fof(f124,plain,
    ( spl0_6
  <=> p_Empty(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f172,plain,
    ( spl0_17
  <=> ! [X28] :
        ( p_Empty(X28)
        | n0 != int_level(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f659,plain,
    ( spl0_80
  <=> n0 = int_level(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f805,plain,
    ( p_Empty(plus(t_139,n1))
    | ~ spl0_17
    | ~ spl0_80 ),
    inference(trivial_inequality_removal,[],[f792]) ).

fof(f792,plain,
    ( n0 != n0
    | p_Empty(plus(t_139,n1))
    | ~ spl0_17
    | ~ spl0_80 ),
    inference(superposition,[],[f173,f661]) ).

fof(f661,plain,
    ( n0 = int_level(plus(t_139,n1))
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f173,plain,
    ( ! [X28] :
        ( n0 != int_level(X28)
        | p_Empty(X28) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f868,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f75,f866]) ).

fof(f866,plain,
    ( spl0_96
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | n0 = rd_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),rd_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f75,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | n0 = rd_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),rd_level(X34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(f864,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f57,f862]) ).

fof(f862,plain,
    ( spl0_95
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | n0 = rd_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),rd_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f57,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | n0 = rd_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),rd_level(X34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f860,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f41,f858]) ).

fof(f858,plain,
    ( spl0_94
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | n0 = wr_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),wr_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f41,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | n0 = wr_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),wr_level(X34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

fof(f851,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f67,f849]) ).

fof(f849,plain,
    ( spl0_93
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(minus(fifo_length,n1),wr_level(X34))
        | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f67,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(minus(fifo_length,n1),wr_level(X34))
      | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).

fof(f742,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f73,f740]) ).

fof(f740,plain,
    ( spl0_92
  <=> ! [X34,X46] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Mem(rd_level(X34),X46,X34)
        | p_Data_out(X46,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f73,axiom,
    ! [X46,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Mem(rd_level(X34),X46,X34)
      | p_Data_out(X46,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

fof(f738,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f72,f736]) ).

fof(f736,plain,
    ( spl0_91
  <=> ! [X34,X46] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Data_out(X46,plus(X34,n1))
        | p_Mem(rd_level(X34),X46,X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f72,axiom,
    ! [X46,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Data_out(X46,plus(X34,n1))
      | p_Mem(rd_level(X34),X46,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f734,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f66,f732]) ).

fof(f732,plain,
    ( spl0_90
  <=> ! [X45,X34,X44] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Mem(X44,X45,X34)
        | wr_level(X34) = X44
        | p_Mem(X44,X45,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f66,axiom,
    ! [X44,X45,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Mem(X44,X45,X34)
      | wr_level(X34) = X44
      | p_Mem(X44,X45,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).

fof(f730,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f65,f728]) ).

fof(f728,plain,
    ( spl0_89
  <=> ! [X45,X34,X44] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | wr_level(X34) = X44
        | p_Mem(X44,X45,X34)
        | ~ p_Mem(X44,X45,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f65,axiom,
    ! [X44,X45,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | wr_level(X34) = X44
      | p_Mem(X44,X45,X34)
      | ~ p_Mem(X44,X45,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

fof(f726,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f55,f724]) ).

fof(f724,plain,
    ( spl0_88
  <=> ! [X41,X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Mem(rd_level(X34),X41,X34)
        | p_Data_out(X41,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f55,axiom,
    ! [X41,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Mem(rd_level(X34),X41,X34)
      | p_Data_out(X41,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).

fof(f722,plain,
    ( ~ spl0_7
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_75 ),
    inference(resolution,[],[f598,f130]) ).

fof(f130,plain,
    ( ! [X21] : ~ gt(X21,X21)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl0_7
  <=> ! [X21] : ~ gt(X21,X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f598,plain,
    ( gt(n0,n0)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl0_75
  <=> gt(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f719,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f54,f717]) ).

fof(f717,plain,
    ( spl0_87
  <=> ! [X41,X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Data_out(X41,plus(X34,n1))
        | p_Mem(rd_level(X34),X41,X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f54,axiom,
    ! [X41,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Data_out(X41,plus(X34,n1))
      | p_Mem(rd_level(X34),X41,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).

fof(f715,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f46,f713]) ).

fof(f713,plain,
    ( spl0_86
  <=> ! [X38,X34,X39] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Mem(X38,X39,X34)
        | gt(fifo_length,int_level(X34))
        | p_Mem(X38,X39,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f46,axiom,
    ! [X38,X39,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Mem(X38,X39,X34)
      | gt(fifo_length,int_level(X34))
      | p_Mem(X38,X39,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f711,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f45,f709]) ).

fof(f709,plain,
    ( spl0_85
  <=> ! [X38,X34,X39] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | p_Mem(X38,X39,X34)
        | ~ p_Mem(X38,X39,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f45,axiom,
    ! [X38,X39,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | p_Mem(X38,X39,X34)
      | ~ p_Mem(X38,X39,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).

fof(f707,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f37,f705]) ).

fof(f705,plain,
    ( spl0_84
  <=> ! [X34,X35] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_in(X35,X34)
        | ~ gt(fifo_length,int_level(X34))
        | p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f37,axiom,
    ! [X34,X35] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_in(X35,X34)
      | ~ gt(fifo_length,int_level(X34))
      | p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f703,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f36,f701]) ).

fof(f701,plain,
    ( spl0_83
  <=> ! [X34,X35] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_in(X35,X34)
        | ~ gt(fifo_length,int_level(X34))
        | ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f36,axiom,
    ! [X34,X35] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_in(X35,X34)
      | ~ gt(fifo_length,int_level(X34))
      | ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f670,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f71,f668]) ).

fof(f668,plain,
    ( spl0_82
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | int_level(plus(X34,n1)) = minus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f71,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | int_level(plus(X34,n1)) = minus(int_level(X34),n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f666,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f59,f664]) ).

fof(f664,plain,
    ( spl0_81
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f59,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).

fof(f662,plain,
    ( spl0_80
    | ~ spl0_1
    | spl0_4
    | spl0_3
    | spl0_75
    | ~ spl0_27
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f585,f560,f218,f596,f110,f115,f100,f659]) ).

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

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

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

fof(f218,plain,
    ( spl0_27
  <=> n0 = int_level(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f560,plain,
    ( spl0_72
  <=> ! [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_72])]) ).

fof(f585,plain,
    ( gt(n0,n0)
    | p_Wr(t_139)
    | p_Reset(t_139)
    | ~ p_Rd(t_139)
    | n0 = int_level(plus(t_139,n1))
    | ~ spl0_27
    | ~ spl0_72 ),
    inference(superposition,[],[f561,f220]) ).

fof(f220,plain,
    ( n0 = int_level(t_139)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f561,plain,
    ( ! [X34] :
        ( gt(int_level(X34),n0)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Rd(X34)
        | int_level(X34) = int_level(plus(X34,n1)) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f657,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f35,f655]) ).

fof(f655,plain,
    ( spl0_79
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f35,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f617,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f80,f615]) ).

fof(f615,plain,
    ( spl0_78
  <=> ! [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_78])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f613,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f79,f611]) ).

fof(f611,plain,
    ( spl0_77
  <=> ! [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_77])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(f609,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f68,f607]) ).

fof(f607,plain,
    ( spl0_76
  <=> ! [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_76])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_68) ).

fof(f599,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_4
    | spl0_3
    | spl0_75
    | ~ spl0_27
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f498,f451,f218,f596,f110,f115,f120,f100]) ).

fof(f120,plain,
    ( spl0_5
  <=> p_Rd_error(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f451,plain,
    ( spl0_60
  <=> ! [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_60])]) ).

fof(f498,plain,
    ( gt(n0,n0)
    | p_Wr(t_139)
    | p_Reset(t_139)
    | p_Rd_error(plus(t_139,n1))
    | ~ p_Rd(t_139)
    | ~ spl0_27
    | ~ spl0_60 ),
    inference(superposition,[],[f452,f220]) ).

fof(f452,plain,
    ( ! [X34] :
        ( gt(int_level(X34),n0)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1))
        | ~ p_Rd(X34) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f594,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f62,f592]) ).

fof(f592,plain,
    ( spl0_74
  <=> ! [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_74])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f590,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f61,f588]) ).

fof(f588,plain,
    ( spl0_73
  <=> ! [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_73])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f562,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f78,f560]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_78) ).

fof(f558,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f77,f556]) ).

fof(f556,plain,
    ( spl0_71
  <=> ! [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_71])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

fof(f554,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f60,f552]) ).

fof(f552,plain,
    ( spl0_70
  <=> ! [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_70])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

fof(f550,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f53,f548]) ).

fof(f548,plain,
    ( spl0_69
  <=> ! [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_69])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_53) ).

fof(f546,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f44,f544]) ).

fof(f544,plain,
    ( spl0_68
  <=> ! [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_68])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

fof(f542,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f43,f540]) ).

fof(f540,plain,
    ( spl0_67
  <=> ! [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_67])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

fof(f525,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f64,f523]) ).

fof(f523,plain,
    ( spl0_66
  <=> ! [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_66])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

fof(f521,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f63,f519]) ).

fof(f519,plain,
    ( spl0_65
  <=> ! [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_65])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_63) ).

fof(f469,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f88,f467]) ).

fof(f467,plain,
    ( spl0_64
  <=> ! [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_64])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_88) ).

fof(f465,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f87,f463]) ).

fof(f463,plain,
    ( spl0_63
  <=> ! [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_63])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

fof(f461,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f84,f459]) ).

fof(f459,plain,
    ( spl0_62
  <=> ! [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_62])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

fof(f457,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f83,f455]) ).

fof(f455,plain,
    ( spl0_61
  <=> ! [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_61])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_83) ).

fof(f453,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f76,f451]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

fof(f449,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f70,f447]) ).

fof(f447,plain,
    ( spl0_59
  <=> ! [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_59])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

fof(f445,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f58,f443]) ).

fof(f443,plain,
    ( spl0_58
  <=> ! [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_58])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_58) ).

fof(f441,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f52,f439]) ).

fof(f439,plain,
    ( spl0_57
  <=> ! [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_57])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

fof(f437,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f48,f435]) ).

fof(f435,plain,
    ( spl0_56
  <=> ! [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_56])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_48) ).

fof(f433,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f47,f431]) ).

fof(f431,plain,
    ( spl0_55
  <=> ! [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_55])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_47) ).

fof(f429,plain,
    ( spl0_54
    | spl0_3
    | spl0_4
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f340,f329,f115,f110,f426]) ).

fof(f426,plain,
    ( spl0_54
  <=> wr_level(t_139) = wr_level(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f329,plain,
    ( spl0_42
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f340,plain,
    ( p_Wr(t_139)
    | wr_level(t_139) = wr_level(plus(t_139,n1))
    | spl0_4
    | ~ spl0_42 ),
    inference(resolution,[],[f330,f117]) ).

fof(f117,plain,
    ( ~ p_Reset(t_139)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f330,plain,
    ( ! [X34] :
        ( p_Reset(X34)
        | p_Wr(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f424,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f42,f422]) ).

fof(f422,plain,
    ( spl0_53
  <=> ! [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_53])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

fof(f420,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f34,f418]) ).

fof(f418,plain,
    ( spl0_52
  <=> ! [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_52])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f402,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f82,f400]) ).

fof(f400,plain,
    ( spl0_51
  <=> ! [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_51])]) ).

fof(f82,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f398,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f81,f396]) ).

fof(f396,plain,
    ( spl0_50
  <=> ! [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_50])]) ).

fof(f81,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).

fof(f394,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f33,f392]) ).

fof(f392,plain,
    ( spl0_49
  <=> ! [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_49])]) ).

fof(f33,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).

fof(f390,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f14,f388]) ).

fof(f388,plain,
    ( spl0_48
  <=> ! [X18,X17] :
        ( ~ gt(X17,X18)
        | plus(X18,n1) = X17
        | gt(X17,plus(X18,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f14,axiom,
    ! [X18,X17] :
      ( ~ gt(X17,X18)
      | plus(X18,n1) = X17
      | gt(X17,plus(X18,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f363,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f98,f361]) ).

fof(f361,plain,
    ( spl0_47
  <=> ! [X4,X5] :
        ( def_10(X4,plus(X5,X4))
        | minus(plus(X5,X4),X4) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f359,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f86,f357]) ).

fof(f357,plain,
    ( spl0_46
  <=> ! [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_46])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_86) ).

fof(f355,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f85,f353]) ).

fof(f353,plain,
    ( spl0_45
  <=> ! [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_45])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_85) ).

fof(f351,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f50,f349]) ).

fof(f349,plain,
    ( spl0_44
  <=> ! [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_44])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_50) ).

fof(f347,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f49,f345]) ).

fof(f345,plain,
    ( spl0_43
  <=> ! [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_43])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_49) ).

fof(f331,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f69,f329]) ).

fof(f69,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | wr_level(X34) = wr_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).

fof(f327,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f11,f325]) ).

fof(f325,plain,
    ( spl0_41
  <=> ! [X11,X10] :
        ( X10 = X11
        | gt(X10,X11)
        | ~ gt(plus(X10,n1),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f11,axiom,
    ! [X10,X11] :
      ( X10 = X11
      | gt(X10,X11)
      | ~ gt(plus(X10,n1),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f298,plain,
    ( spl0_39
    | ~ spl0_40
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f243,f218,f164,f295,f291]) ).

fof(f291,plain,
    ( spl0_39
  <=> p_Full(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f295,plain,
    ( spl0_40
  <=> n0 = fifo_length ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f164,plain,
    ( spl0_15
  <=> ! [X26] :
        ( p_Full(X26)
        | int_level(X26) != fifo_length ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f243,plain,
    ( n0 != fifo_length
    | p_Full(t_139)
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(superposition,[],[f165,f220]) ).

fof(f165,plain,
    ( ! [X26] :
        ( int_level(X26) != fifo_length
        | p_Full(X26) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f283,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f97,f281]) ).

fof(f281,plain,
    ( spl0_38
  <=> ! [X4,X3] :
        ( def_10(X4,X3)
        | plus(minus(X3,X4),X4) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f279,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f90,f277]) ).

fof(f277,plain,
    ( spl0_37
  <=> ! [X34] :
        ( ~ p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f90,axiom,
    ! [X34] :
      ( ~ p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).

fof(f275,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f89,f273]) ).

fof(f273,plain,
    ( spl0_36
  <=> ! [X34] :
        ( p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f89,axiom,
    ! [X34] :
      ( p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).

fof(f271,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f51,f269]) ).

fof(f269,plain,
    ( spl0_35
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f51,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

fof(f267,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f18,f265]) ).

fof(f265,plain,
    ( spl0_34
  <=> ! [X22,X23] :
        ( X22 = X23
        | plus(X22,n1) != plus(X23,n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f18,axiom,
    ! [X22,X23] :
      ( X22 = X23
      | plus(X22,n1) != plus(X23,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f263,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f9,f261]) ).

fof(f261,plain,
    ( spl0_33
  <=> ! [X6,X7] :
        ( gt(X6,X7)
        | ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( gt(X6,X7)
      | ~ gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f259,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f8,f257]) ).

fof(f257,plain,
    ( spl0_32
  <=> ! [X6,X7] :
        ( ~ gt(X6,X7)
        | gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( ~ gt(X6,X7)
      | gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f238,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f16,f236]) ).

fof(f236,plain,
    ( spl0_31
  <=> ! [X20] :
        ( n0 = X20
        | plus(y_27(X20),n1) = X20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f16,axiom,
    ! [X20] :
      ( n0 = X20
      | plus(y_27(X20),n1) = X20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f234,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f13,f232]) ).

fof(f232,plain,
    ( spl0_30
  <=> ! [X16,X14,X15] :
        ( ~ gt(X15,X16)
        | ~ gt(X14,X15)
        | gt(X14,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f13,axiom,
    ! [X16,X14,X15] :
      ( ~ gt(X15,X16)
      | ~ gt(X14,X15)
      | gt(X14,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f230,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f12,f228]) ).

fof(f228,plain,
    ( spl0_29
  <=> ! [X13,X12] :
        ( X12 = X13
        | gt(X12,X13)
        | gt(X13,X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f12,axiom,
    ! [X12,X13] :
      ( X12 = X13
      | gt(X12,X13)
      | gt(X13,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f225,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f31,f223]) ).

fof(f223,plain,
    ( spl0_28
  <=> ! [X32,X30,X31] :
        ( ~ p_Reset(X30)
        | ~ p_Mem(X31,X32,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f31,axiom,
    ! [X31,X32,X30] :
      ( ~ p_Reset(X30)
      | ~ p_Mem(X31,X32,plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).

fof(f221,plain,
    ( spl0_27
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f193,f176,f105,f218]) ).

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

fof(f176,plain,
    ( spl0_18
  <=> ! [X29] :
        ( ~ p_Empty(X29)
        | n0 = int_level(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f193,plain,
    ( n0 = int_level(t_139)
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(resolution,[],[f177,f107]) ).

fof(f107,plain,
    ( p_Empty(t_139)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f177,plain,
    ( ! [X29] :
        ( ~ p_Empty(X29)
        | n0 = int_level(X29) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f216,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f28,f214]) ).

fof(f214,plain,
    ( spl0_26
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = rd_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f28,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = rd_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f212,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f27,f210]) ).

fof(f210,plain,
    ( spl0_25
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = wr_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f27,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = wr_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).

fof(f208,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f26,f206]) ).

fof(f206,plain,
    ( spl0_24
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = int_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f26,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = int_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

fof(f204,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f3,f202]) ).

fof(f202,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ gt(X2,n0)
        | gt(X2,minus(X2,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f3,axiom,
    ! [X2] :
      ( ~ gt(X2,n0)
      | gt(X2,minus(X2,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f199,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f32,f197]) ).

fof(f197,plain,
    ( spl0_22
  <=> ! [X30,X33] :
        ( ~ p_Reset(X30)
        | ~ p_Data_out(X33,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f32,axiom,
    ! [X30,X33] :
      ( ~ p_Reset(X30)
      | ~ p_Data_out(X33,plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).

fof(f192,plain,
    ( ~ spl0_21
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f149,f145,f137,f189]) ).

fof(f189,plain,
    ( spl0_21
  <=> n1 = n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f137,plain,
    ( spl0_9
  <=> ! [X0] : plus(X0,n1) != n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f145,plain,
    ( spl0_11
  <=> ! [X24] : plus(n0,X24) = X24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f149,plain,
    ( n1 != n0
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f138,f146]) ).

fof(f146,plain,
    ( ! [X24] : plus(n0,X24) = X24
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f138,plain,
    ( ! [X0] : plus(X0,n1) != n0
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f186,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f30,f184]) ).

fof(f184,plain,
    ( spl0_20
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Rd_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f30,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Rd_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f182,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f29,f180]) ).

fof(f180,plain,
    ( spl0_19
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Wr_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f29,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Wr_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f178,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f25,f176]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f174,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f24,f172]) ).

fof(f24,axiom,
    ! [X28] :
      ( p_Empty(X28)
      | n0 != int_level(X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f170,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f23,f168]) ).

fof(f168,plain,
    ( spl0_16
  <=> ! [X27] :
        ( ~ p_Full(X27)
        | fifo_length = int_level(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f23,axiom,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

fof(f166,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f22,f164]) ).

fof(f22,axiom,
    ! [X26] :
      ( p_Full(X26)
      | int_level(X26) != fifo_length ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f162,plain,
    ( spl0_14
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f148,f145,f141,f159]) ).

fof(f159,plain,
    ( spl0_14
  <=> gt(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f141,plain,
    ( spl0_10
  <=> ! [X1] : gt(plus(X1,n1),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f148,plain,
    ( gt(n1,n0)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f142,f146]) ).

fof(f142,plain,
    ( ! [X1] : gt(plus(X1,n1),n0)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f157,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f15,f155]) ).

fof(f155,plain,
    ( spl0_13
  <=> ! [X19] :
        ( n0 = X19
        | gt(X19,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f15,axiom,
    ! [X19] :
      ( n0 = X19
      | gt(X19,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f153,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f6,f151]) ).

fof(f151,plain,
    ( spl0_12
  <=> ! [X4,X3] :
        ( ~ def_10(X4,X3)
        | ~ gt(X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ def_10(X4,X3)
      | ~ gt(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f147,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f19,f145]) ).

fof(f19,axiom,
    ! [X24] : plus(n0,X24) = X24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f143,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f2,f141]) ).

fof(f2,axiom,
    ! [X1] : gt(plus(X1,n1),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f139,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f1,f137]) ).

fof(f1,axiom,
    ! [X0] : plus(X0,n1) != n0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f135,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f96,f133]) ).

fof(f133,plain,
    ( spl0_8
  <=> ! [X4] : ~ def_10(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

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/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f131,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f17,f129]) ).

fof(f17,axiom,
    ! [X21] : ~ gt(X21,X21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f127,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f95,f124,f120]) ).

fof(f95,axiom,
    ( ~ p_Empty(plus(t_139,n1))
    | ~ p_Rd_error(plus(t_139,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

fof(f118,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f94,f115]) ).

fof(f94,axiom,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

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

fof(f93,axiom,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

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

fof(f92,axiom,
    p_Empty(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

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

fof(f91,axiom,
    p_Rd(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : HWV020-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34  % Computer : n024.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Fri May  3 21:34:38 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.34  % (4647)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36  % (4650)WARNING: value z3 for option sas not known
% 0.11/0.36  % (4652)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)
% 0.11/0.36  % (4651)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36  % (4654)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)
% 0.11/0.36  % (4648)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36  % (4649)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36  % (4653)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)
% 0.11/0.36  % (4650)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)
% 0.11/0.37  TRYING [1]
% 0.11/0.37  TRYING [2]
% 0.11/0.38  TRYING [3]
% 0.11/0.38  % (4652)First to succeed.
% 0.11/0.38  % (4652)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4647"
% 0.11/0.39  % (4652)Refutation found. Thanks to Tanya!
% 0.11/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.39  % (4652)------------------------------
% 0.11/0.39  % (4652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.39  % (4652)Termination reason: Refutation
% 0.11/0.39  
% 0.11/0.39  % (4652)Memory used [KB]: 1235
% 0.11/0.39  % (4652)Time elapsed: 0.024 s
% 0.11/0.39  % (4652)Instructions burned: 40 (million)
% 0.11/0.39  % (4647)Success in time 0.042 s
%------------------------------------------------------------------------------