TSTP Solution File: COM003-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM003-1 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:53:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  333 (   3 unt;   0 def)
%            Number of atoms       : 1174 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives : 1545 ( 704   ~; 753   |;   0   &)
%                                         (  88 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   95 (  94 usr;  89 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  222 ( 222   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f848,plain,
    $false,
    inference(avatar_sat_refutation,[],[f126,f134,f162,f174,f187,f192,f197,f202,f211,f219,f220,f224,f238,f244,f257,f262,f266,f274,f282,f286,f292,f300,f301,f305,f310,f311,f329,f334,f340,f348,f349,f355,f356,f361,f365,f370,f371,f372,f376,f381,f382,f383,f398,f400,f401,f402,f407,f412,f413,f415,f417,f418,f420,f422,f423,f424,f450,f497,f510,f512,f522,f545,f553,f578,f580,f582,f646,f694,f717,f728,f735,f738,f763,f780,f783,f787,f802,f804,f805,f829,f834,f843,f847]) ).

fof(f847,plain,
    ( ~ spl34_80
    | ~ spl34_13
    | spl34_89 ),
    inference(avatar_split_clause,[],[f845,f754,f168,f641]) ).

fof(f641,plain,
    ( spl34_80
  <=> program(f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_80])]) ).

fof(f168,plain,
    ( spl34_13
  <=> ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).

fof(f754,plain,
    ( spl34_89
  <=> halts2(f6(c2),f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_89])]) ).

fof(f845,plain,
    ( ~ program(f6(c2))
    | ~ spl34_13
    | spl34_89 ),
    inference(resolution,[],[f755,f169]) ).

fof(f169,plain,
    ( ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl34_13 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f755,plain,
    ( ~ halts2(f6(c2),f6(c2))
    | spl34_89 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f843,plain,
    ( ~ spl34_80
    | ~ spl34_24
    | ~ spl34_32
    | spl34_91 ),
    inference(avatar_split_clause,[],[f841,f831,f255,f217,f641]) ).

fof(f217,plain,
    ( spl34_24
  <=> ! [X1] :
        ( ~ program(X1)
        | halts2(X1,X1)
        | halts2(c2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_24])]) ).

fof(f255,plain,
    ( spl34_32
  <=> ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_32])]) ).

fof(f831,plain,
    ( spl34_91
  <=> halts2(c2,f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_91])]) ).

fof(f841,plain,
    ( ~ program(f6(c2))
    | ~ spl34_24
    | ~ spl34_32
    | spl34_91 ),
    inference(resolution,[],[f833,f752]) ).

fof(f752,plain,
    ( ! [X0] :
        ( halts2(c2,X0)
        | ~ program(X0) )
    | ~ spl34_24
    | ~ spl34_32 ),
    inference(duplicate_literal_removal,[],[f745]) ).

fof(f745,plain,
    ( ! [X0] :
        ( halts2(c2,X0)
        | ~ program(X0)
        | ~ program(X0)
        | halts2(c2,X0) )
    | ~ spl34_24
    | ~ spl34_32 ),
    inference(resolution,[],[f218,f256]) ).

fof(f256,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1)
        | halts2(c2,X1) )
    | ~ spl34_32 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f218,plain,
    ( ! [X1] :
        ( halts2(c2,X1)
        | halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl34_24 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f833,plain,
    ( ~ halts2(c2,f6(c2))
    | spl34_91 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( ~ spl34_91
    | ~ spl34_46
    | ~ spl34_45
    | ~ spl34_43
    | ~ spl34_89 ),
    inference(avatar_split_clause,[],[f792,f754,f303,f313,f318,f831]) ).

fof(f318,plain,
    ( spl34_46
  <=> outputs(c2,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).

fof(f313,plain,
    ( spl34_45
  <=> program(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_45])]) ).

fof(f303,plain,
    ( spl34_43
  <=> ! [X4] :
        ( ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good)
        | ~ halts2(f6(X4),f6(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_43])]) ).

fof(f792,plain,
    ( ~ program(c2)
    | ~ outputs(c2,good)
    | ~ halts2(c2,f6(c2))
    | ~ spl34_43
    | ~ spl34_89 ),
    inference(resolution,[],[f756,f304]) ).

fof(f304,plain,
    ( ! [X4] :
        ( ~ halts2(f6(X4),f6(X4))
        | ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good) )
    | ~ spl34_43 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f756,plain,
    ( halts2(f6(c2),f6(c2))
    | ~ spl34_89 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f829,plain,
    ( ~ spl34_79
    | ~ spl34_57
    | spl34_78 ),
    inference(avatar_split_clause,[],[f828,f566,f374,f570]) ).

fof(f570,plain,
    ( spl34_79
  <=> program(f5(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_79])]) ).

fof(f374,plain,
    ( spl34_57
  <=> ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_57])]) ).

fof(f566,plain,
    ( spl34_78
  <=> halts2(f5(c1),f5(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_78])]) ).

fof(f828,plain,
    ( ~ program(f5(c1))
    | ~ spl34_57
    | spl34_78 ),
    inference(resolution,[],[f567,f375]) ).

fof(f375,plain,
    ( ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl34_57 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f567,plain,
    ( ~ halts2(f5(c1),f5(c1))
    | spl34_78 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f805,plain,
    ( ~ spl34_41
    | ~ spl34_65
    | spl34_78
    | ~ spl34_79
    | ~ spl34_2
    | ~ spl34_76 ),
    inference(avatar_split_clause,[],[f797,f551,f124,f570,f566,f447,f294]) ).

fof(f294,plain,
    ( spl34_41
  <=> program(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_41])]) ).

fof(f447,plain,
    ( spl34_65
  <=> outputs(c1,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_65])]) ).

fof(f124,plain,
    ( spl34_2
  <=> ! [X3] :
        ( halts2(f5(X3),f5(X3))
        | ~ outputs(X3,bad)
        | ~ program(X3)
        | ~ halts3(X3,f5(X3),f5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).

fof(f551,plain,
    ( spl34_76
  <=> ! [X2,X3] :
        ( halts2(X2,X3)
        | halts3(c1,X2,X3)
        | ~ program(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_76])]) ).

fof(f797,plain,
    ( ~ program(f5(c1))
    | halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | ~ program(c1)
    | ~ spl34_2
    | ~ spl34_76 ),
    inference(duplicate_literal_removal,[],[f795]) ).

fof(f795,plain,
    ( ~ program(c1)
    | halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | halts2(f5(c1),f5(c1))
    | ~ program(f5(c1))
    | ~ spl34_2
    | ~ spl34_76 ),
    inference(resolution,[],[f552,f125]) ).

fof(f125,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | halts2(f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,bad) )
    | ~ spl34_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f552,plain,
    ( ! [X2,X3] :
        ( halts3(c1,X2,X3)
        | ~ program(X2)
        | halts2(X2,X3) )
    | ~ spl34_76 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f804,plain,
    ( ~ spl34_64
    | spl34_77
    | ~ spl34_41
    | ~ spl34_4
    | ~ spl34_22 ),
    inference(avatar_split_clause,[],[f603,f209,f132,f294,f562,f443]) ).

fof(f443,plain,
    ( spl34_64
  <=> program(f4(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_64])]) ).

fof(f562,plain,
    ( spl34_77
  <=> outputs(c1,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_77])]) ).

fof(f132,plain,
    ( spl34_4
  <=> ! [X3] :
        ( ~ program(X3)
        | ~ decides(X3,f4(X3),f3(X3))
        | outputs(X3,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).

fof(f209,plain,
    ( spl34_22
  <=> ! [X2,X1] :
        ( ~ program(X1)
        | decides(c1,X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_22])]) ).

fof(f603,plain,
    ( ~ program(c1)
    | outputs(c1,good)
    | ~ program(f4(c1))
    | ~ spl34_4
    | ~ spl34_22 ),
    inference(resolution,[],[f133,f210]) ).

fof(f210,plain,
    ( ! [X2,X1] :
        ( decides(c1,X1,X2)
        | ~ program(X1) )
    | ~ spl34_22 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f133,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,good) )
    | ~ spl34_4 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f802,plain,
    ( ~ spl34_78
    | ~ spl34_79
    | ~ spl34_77
    | ~ spl34_41
    | ~ spl34_28
    | ~ spl34_90 ),
    inference(avatar_split_clause,[],[f801,f785,f236,f294,f562,f570,f566]) ).

fof(f236,plain,
    ( spl34_28
  <=> ! [X3] :
        ( ~ halts2(f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,good)
        | ~ halts3(X3,f5(X3),f5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_28])]) ).

fof(f785,plain,
    ( spl34_90
  <=> ! [X2,X3] :
        ( ~ halts2(X2,X3)
        | halts3(c1,X2,X3)
        | ~ program(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_90])]) ).

fof(f801,plain,
    ( ~ program(c1)
    | ~ outputs(c1,good)
    | ~ program(f5(c1))
    | ~ halts2(f5(c1),f5(c1))
    | ~ spl34_28
    | ~ spl34_90 ),
    inference(duplicate_literal_removal,[],[f798]) ).

fof(f798,plain,
    ( ~ program(f5(c1))
    | ~ program(c1)
    | ~ halts2(f5(c1),f5(c1))
    | ~ halts2(f5(c1),f5(c1))
    | ~ outputs(c1,good)
    | ~ spl34_28
    | ~ spl34_90 ),
    inference(resolution,[],[f786,f237]) ).

fof(f237,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ halts2(f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,good) )
    | ~ spl34_28 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f786,plain,
    ( ! [X2,X3] :
        ( halts3(c1,X2,X3)
        | ~ program(X2)
        | ~ halts2(X2,X3) )
    | ~ spl34_90 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f787,plain,
    ( ~ spl34_41
    | ~ spl34_64
    | spl34_90
    | ~ spl34_22 ),
    inference(avatar_split_clause,[],[f482,f209,f785,f443,f294]) ).

fof(f482,plain,
    ( ! [X2,X3] :
        ( ~ halts2(X2,X3)
        | ~ program(f4(c1))
        | ~ program(c1)
        | ~ program(X2)
        | halts3(c1,X2,X3) )
    | ~ spl34_22 ),
    inference(resolution,[],[f9,f210]) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | halts3(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_5) ).

fof(f783,plain,
    ( ~ spl34_45
    | ~ spl34_47
    | ~ spl34_73 ),
    inference(avatar_split_clause,[],[f772,f519,f322,f313]) ).

fof(f322,plain,
    ( spl34_47
  <=> ! [X1] :
        ( ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_47])]) ).

fof(f519,plain,
    ( spl34_73
  <=> halts2(c2,c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_73])]) ).

fof(f772,plain,
    ( ~ program(c2)
    | ~ spl34_47
    | ~ spl34_73 ),
    inference(resolution,[],[f323,f521]) ).

fof(f521,plain,
    ( halts2(c2,c2)
    | ~ spl34_73 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f323,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl34_47 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f780,plain,
    ( ~ spl34_45
    | ~ spl34_24
    | ~ spl34_32
    | ~ spl34_47 ),
    inference(avatar_split_clause,[],[f779,f322,f255,f217,f313]) ).

fof(f779,plain,
    ( ~ program(c2)
    | ~ spl34_24
    | ~ spl34_32
    | ~ spl34_47 ),
    inference(duplicate_literal_removal,[],[f766]) ).

fof(f766,plain,
    ( ~ program(c2)
    | ~ program(c2)
    | ~ spl34_24
    | ~ spl34_32
    | ~ spl34_47 ),
    inference(resolution,[],[f323,f752]) ).

fof(f763,plain,
    ( ~ spl34_46
    | ~ spl34_45
    | ~ spl34_80
    | ~ spl34_14
    | ~ spl34_24
    | ~ spl34_32
    | ~ spl34_39 ),
    inference(avatar_split_clause,[],[f760,f284,f255,f217,f171,f641,f313,f318]) ).

fof(f171,plain,
    ( spl34_14
  <=> outputs(c2,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).

fof(f284,plain,
    ( spl34_39
  <=> ! [X4] :
        ( ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,bad)
        | ~ outputs(X4,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_39])]) ).

fof(f760,plain,
    ( ~ outputs(c2,bad)
    | ~ program(f6(c2))
    | ~ program(c2)
    | ~ outputs(c2,good)
    | ~ spl34_24
    | ~ spl34_32
    | ~ spl34_39 ),
    inference(resolution,[],[f752,f285]) ).

fof(f285,plain,
    ( ! [X4] :
        ( ~ halts2(X4,f6(X4))
        | ~ program(X4)
        | ~ outputs(X4,bad)
        | ~ outputs(X4,good) )
    | ~ spl34_39 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f738,plain,
    ( ~ spl34_65
    | spl34_64
    | ~ spl34_79
    | ~ spl34_41
    | ~ spl34_2
    | spl34_78 ),
    inference(avatar_split_clause,[],[f737,f566,f124,f294,f570,f443,f447]) ).

fof(f737,plain,
    ( ~ program(c1)
    | ~ program(f5(c1))
    | program(f4(c1))
    | ~ outputs(c1,bad)
    | ~ spl34_2
    | spl34_78 ),
    inference(resolution,[],[f567,f470]) ).

fof(f470,plain,
    ( ! [X0] :
        ( halts2(f5(X0),f5(X0))
        | ~ program(X0)
        | program(f4(X0))
        | ~ program(f5(X0))
        | ~ outputs(X0,bad) )
    | ~ spl34_2 ),
    inference(duplicate_literal_removal,[],[f468]) ).

fof(f468,plain,
    ( ! [X0] :
        ( ~ outputs(X0,bad)
        | ~ program(f5(X0))
        | halts2(f5(X0),f5(X0))
        | halts2(f5(X0),f5(X0))
        | ~ program(X0)
        | ~ program(X0)
        | program(f4(X0)) )
    | ~ spl34_2 ),
    inference(resolution,[],[f125,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | ~ program(X3)
      | halts2(X1,X2)
      | program(f4(X3))
      | ~ program(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_3) ).

fof(f735,plain,
    ( ~ spl34_41
    | spl34_64
    | ~ spl34_61
    | spl34_77 ),
    inference(avatar_split_clause,[],[f734,f562,f396,f443,f294]) ).

fof(f396,plain,
    ( spl34_61
  <=> ! [X3] :
        ( outputs(X3,good)
        | program(f4(X3))
        | ~ program(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_61])]) ).

fof(f734,plain,
    ( program(f4(c1))
    | ~ program(c1)
    | ~ spl34_61
    | spl34_77 ),
    inference(resolution,[],[f564,f397]) ).

fof(f397,plain,
    ( ! [X3] :
        ( outputs(X3,good)
        | program(f4(X3))
        | ~ program(X3) )
    | ~ spl34_61 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f564,plain,
    ( ~ outputs(c1,good)
    | spl34_77 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f728,plain,
    ( ~ spl34_79
    | ~ spl34_77
    | ~ spl34_41
    | spl34_64
    | ~ spl34_28
    | ~ spl34_78 ),
    inference(avatar_split_clause,[],[f726,f566,f236,f443,f294,f562,f570]) ).

fof(f726,plain,
    ( program(f4(c1))
    | ~ program(c1)
    | ~ outputs(c1,good)
    | ~ program(f5(c1))
    | ~ spl34_28
    | ~ spl34_78 ),
    inference(resolution,[],[f568,f474]) ).

fof(f474,plain,
    ( ! [X1] :
        ( ~ halts2(f5(X1),f5(X1))
        | ~ outputs(X1,good)
        | ~ program(X1)
        | program(f4(X1))
        | ~ program(f5(X1)) )
    | ~ spl34_28 ),
    inference(duplicate_literal_removal,[],[f473]) ).

fof(f473,plain,
    ( ! [X1] :
        ( program(f4(X1))
        | ~ outputs(X1,good)
        | ~ halts2(f5(X1),f5(X1))
        | ~ halts2(f5(X1),f5(X1))
        | ~ program(f5(X1))
        | ~ program(X1)
        | ~ program(X1) )
    | ~ spl34_28 ),
    inference(resolution,[],[f237,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | ~ halts2(X1,X2)
      | program(f4(X3))
      | ~ program(X1)
      | ~ program(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_1) ).

fof(f568,plain,
    ( halts2(f5(c1),f5(c1))
    | ~ spl34_78 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f717,plain,
    ( ~ spl34_10
    | ~ spl34_82
    | ~ spl34_25
    | ~ spl34_82 ),
    inference(avatar_split_clause,[],[f715,f691,f222,f691,f156]) ).

fof(f156,plain,
    ( spl34_10
  <=> program(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).

fof(f222,plain,
    ( spl34_25
  <=> ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_25])]) ).

fof(f691,plain,
    ( spl34_82
  <=> halts2(c3,c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_82])]) ).

fof(f715,plain,
    ( ~ halts2(c3,c3)
    | ~ program(c3)
    | ~ spl34_25
    | ~ spl34_82 ),
    inference(resolution,[],[f693,f223]) ).

fof(f223,plain,
    ( ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) )
    | ~ spl34_25 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f693,plain,
    ( halts2(c3,c3)
    | ~ spl34_82 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( ~ spl34_10
    | spl34_82
    | ~ spl34_34 ),
    inference(avatar_split_clause,[],[f436,f264,f691,f156]) ).

fof(f264,plain,
    ( spl34_34
  <=> ! [X1] :
        ( halts2(c3,X1)
        | ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_34])]) ).

fof(f436,plain,
    ( halts2(c3,c3)
    | ~ program(c3)
    | ~ spl34_34 ),
    inference(factoring,[],[f265]) ).

fof(f265,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl34_34 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f646,plain,
    ( ~ spl34_45
    | ~ spl34_11
    | spl34_80 ),
    inference(avatar_split_clause,[],[f645,f641,f160,f313]) ).

fof(f160,plain,
    ( spl34_11
  <=> ! [X4] :
        ( program(f6(X4))
        | ~ program(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_11])]) ).

fof(f645,plain,
    ( ~ program(c2)
    | ~ spl34_11
    | spl34_80 ),
    inference(resolution,[],[f643,f161]) ).

fof(f161,plain,
    ( ! [X4] :
        ( program(f6(X4))
        | ~ program(X4) )
    | ~ spl34_11 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f643,plain,
    ( ~ program(f6(c2))
    | spl34_80 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f582,plain,
    ( spl34_64
    | ~ spl34_41
    | ~ spl34_36
    | spl34_65 ),
    inference(avatar_split_clause,[],[f581,f447,f272,f294,f443]) ).

fof(f272,plain,
    ( spl34_36
  <=> ! [X3] :
        ( program(f4(X3))
        | outputs(X3,bad)
        | ~ program(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_36])]) ).

fof(f581,plain,
    ( ~ program(c1)
    | program(f4(c1))
    | ~ spl34_36
    | spl34_65 ),
    inference(resolution,[],[f448,f273]) ).

fof(f273,plain,
    ( ! [X3] :
        ( outputs(X3,bad)
        | program(f4(X3))
        | ~ program(X3) )
    | ~ spl34_36 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f448,plain,
    ( ~ outputs(c1,bad)
    | spl34_65 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f580,plain,
    ( ~ spl34_79
    | ~ spl34_55
    | ~ spl34_78 ),
    inference(avatar_split_clause,[],[f579,f566,f363,f570]) ).

fof(f363,plain,
    ( spl34_55
  <=> ! [X2,X1] :
        ( ~ program(X1)
        | ~ halts2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_55])]) ).

fof(f579,plain,
    ( ~ program(f5(c1))
    | ~ spl34_55
    | ~ spl34_78 ),
    inference(resolution,[],[f568,f364]) ).

fof(f364,plain,
    ( ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl34_55 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f578,plain,
    ( ~ spl34_41
    | ~ spl34_17
    | spl34_79 ),
    inference(avatar_split_clause,[],[f577,f570,f185,f294]) ).

fof(f185,plain,
    ( spl34_17
  <=> ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_17])]) ).

fof(f577,plain,
    ( ~ program(c1)
    | ~ spl34_17
    | spl34_79 ),
    inference(resolution,[],[f572,f186]) ).

fof(f186,plain,
    ( ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) )
    | ~ spl34_17 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f572,plain,
    ( ~ program(f5(c1))
    | spl34_79 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f553,plain,
    ( ~ spl34_41
    | ~ spl34_64
    | spl34_76
    | ~ spl34_22 ),
    inference(avatar_split_clause,[],[f508,f209,f551,f443,f294]) ).

fof(f508,plain,
    ( ! [X2,X3] :
        ( halts2(X2,X3)
        | ~ program(X2)
        | ~ program(f4(c1))
        | ~ program(c1)
        | halts3(c1,X2,X3) )
    | ~ spl34_22 ),
    inference(resolution,[],[f11,f210]) ).

fof(f11,axiom,
    ! [X2,X3,X1] :
      ( ~ decides(X3,f4(X3),f3(X3))
      | halts3(X3,X1,X2)
      | ~ program(X1)
      | halts2(X1,X2)
      | ~ program(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_7) ).

fof(f545,plain,
    ( ~ spl34_41
    | ~ spl34_55
    | ~ spl34_57 ),
    inference(avatar_contradiction_clause,[],[f539]) ).

fof(f539,plain,
    ( $false
    | ~ spl34_41
    | ~ spl34_55
    | ~ spl34_57 ),
    inference(resolution,[],[f536,f296]) ).

fof(f296,plain,
    ( program(c1)
    | ~ spl34_41 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f536,plain,
    ( ! [X0] : ~ program(X0)
    | ~ spl34_55
    | ~ spl34_57 ),
    inference(duplicate_literal_removal,[],[f535]) ).

fof(f535,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ program(X0) )
    | ~ spl34_55
    | ~ spl34_57 ),
    inference(resolution,[],[f375,f364]) ).

fof(f522,plain,
    ( spl34_73
    | ~ spl34_45
    | ~ spl34_24 ),
    inference(avatar_split_clause,[],[f516,f217,f313,f519]) ).

fof(f516,plain,
    ( ~ program(c2)
    | halts2(c2,c2)
    | ~ spl34_24 ),
    inference(factoring,[],[f218]) ).

fof(f512,plain,
    ( ~ spl34_69
    | ~ spl34_37
    | spl34_70 ),
    inference(avatar_split_clause,[],[f511,f494,f276,f490]) ).

fof(f490,plain,
    ( spl34_69
  <=> algorithm(c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_69])]) ).

fof(f276,plain,
    ( spl34_37
  <=> ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_37])]) ).

fof(f494,plain,
    ( spl34_70
  <=> program(f2(c4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).

fof(f511,plain,
    ( ~ algorithm(c4)
    | ~ spl34_37
    | spl34_70 ),
    inference(resolution,[],[f496,f277]) ).

fof(f277,plain,
    ( ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) )
    | ~ spl34_37 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f496,plain,
    ( ~ program(f2(c4))
    | spl34_70 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f510,plain,
    spl34_69,
    inference(avatar_contradiction_clause,[],[f509]) ).

fof(f509,plain,
    ( $false
    | spl34_69 ),
    inference(resolution,[],[f492,f49]) ).

fof(f49,axiom,
    algorithm(c4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_deciding_algorithm) ).

fof(f492,plain,
    ( ~ algorithm(c4)
    | spl34_69 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f497,plain,
    ( ~ spl34_69
    | ~ spl34_70
    | ~ spl34_42 ),
    inference(avatar_split_clause,[],[f487,f298,f494,f490]) ).

fof(f298,plain,
    ( spl34_42
  <=> ! [X0] :
        ( ~ algorithm(X0)
        | ~ decides(X0,f2(X0),f1(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_42])]) ).

fof(f487,plain,
    ( ~ program(f2(c4))
    | ~ algorithm(c4)
    | ~ spl34_42 ),
    inference(resolution,[],[f299,f50]) ).

fof(f50,axiom,
    ! [X6,X5] :
      ( decides(c4,X5,X6)
      | ~ program(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_algorithm_doesnt_exist) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) )
    | ~ spl34_42 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f450,plain,
    ( ~ spl34_64
    | spl34_65
    | ~ spl34_41
    | ~ spl34_22
    | ~ spl34_51 ),
    inference(avatar_split_clause,[],[f441,f342,f209,f294,f447,f443]) ).

fof(f342,plain,
    ( spl34_51
  <=> ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,bad) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_51])]) ).

fof(f441,plain,
    ( ~ program(c1)
    | outputs(c1,bad)
    | ~ program(f4(c1))
    | ~ spl34_22
    | ~ spl34_51 ),
    inference(resolution,[],[f343,f210]) ).

fof(f343,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | outputs(X3,bad)
        | ~ program(X3) )
    | ~ spl34_51 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f424,plain,
    ( spl34_46
    | ~ spl34_62
    | spl34_47 ),
    inference(avatar_split_clause,[],[f92,f322,f404,f318]) ).

fof(f404,plain,
    ( spl34_62
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_62])]) ).

fof(f92,plain,
    ! [X1] :
      ( ~ halts2(X1,X1)
      | ~ sP20
      | ~ program(X1)
      | outputs(c2,good) ),
    inference(general_splitting,[],[f25,f91_D]) ).

fof(f91,plain,
    ! [X3] :
      ( ~ halts3(X3,f5(X3),f5(X3))
      | sP20
      | ~ halts2(f5(X3),f5(X3))
      | ~ outputs(X3,good)
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f91_D]) ).

fof(f91_D,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ halts2(f5(X3),f5(X3))
        | ~ outputs(X3,good)
        | ~ program(X3) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f25,axiom,
    ! [X3,X1] :
      ( ~ halts2(f5(X3),f5(X3))
      | ~ program(X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,good)
      | ~ program(X3)
      | ~ halts2(X1,X1)
      | outputs(c2,good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_13) ).

fof(f423,plain,
    ( spl34_39
    | ~ spl34_58 ),
    inference(avatar_split_clause,[],[f106,f378,f284]) ).

fof(f378,plain,
    ( spl34_58
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_58])]) ).

fof(f106,plain,
    ! [X4] :
      ( ~ sP27
      | ~ outputs(X4,good)
      | ~ outputs(X4,bad)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    inference(general_splitting,[],[f46,f105_D]) ).

fof(f105,plain,
    ! [X1] :
      ( ~ halts2(X1,X1)
      | ~ halts2(c3,X1)
      | ~ program(X1)
      | sP27 ),
    inference(cnf_transformation,[],[f105_D]) ).

fof(f105_D,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ halts2(c3,X1)
        | ~ program(X1) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f46,axiom,
    ! [X1,X4] :
      ( ~ program(X1)
      | ~ program(X4)
      | ~ outputs(X4,good)
      | ~ halts2(X1,X1)
      | ~ outputs(X4,bad)
      | ~ halts2(X4,f6(X4))
      | ~ halts2(c3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_14) ).

fof(f422,plain,
    ( spl34_31
    | spl34_2 ),
    inference(avatar_split_clause,[],[f117,f124,f251]) ).

fof(f251,plain,
    ( spl34_31
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_31])]) ).

fof(f117,plain,
    ! [X3] :
      ( ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3)
      | sP33
      | ~ outputs(X3,bad)
      | halts2(f5(X3),f5(X3)) ),
    inference(cnf_transformation,[],[f117_D]) ).

fof(f117_D,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,bad)
        | halts2(f5(X3),f5(X3)) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f420,plain,
    ( spl34_14
    | spl34_13
    | ~ spl34_1 ),
    inference(avatar_split_clause,[],[f64,f120,f168,f171]) ).

fof(f120,plain,
    ( spl34_1
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).

fof(f64,plain,
    ! [X1] :
      ( ~ sP6
      | ~ program(X1)
      | outputs(c2,bad)
      | halts2(X1,X1) ),
    inference(general_splitting,[],[f22,f63_D]) ).

fof(f63,plain,
    ! [X3] :
      ( halts2(f5(X3),f5(X3))
      | sP6
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3)
      | ~ outputs(X3,bad) ),
    inference(cnf_transformation,[],[f63_D]) ).

fof(f63_D,plain,
    ( ! [X3] :
        ( halts2(f5(X3),f5(X3))
        | ~ halts3(X3,f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,bad) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f22,axiom,
    ! [X3,X1] :
      ( outputs(c2,bad)
      | ~ program(X3)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(X1,X1)
      | halts2(f5(X3),f5(X3))
      | ~ program(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_10) ).

fof(f418,plain,
    ( ~ spl34_54
    | spl34_47
    | spl34_46 ),
    inference(avatar_split_clause,[],[f84,f318,f322,f358]) ).

fof(f358,plain,
    ( spl34_54
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_54])]) ).

fof(f84,plain,
    ! [X1] :
      ( outputs(c2,good)
      | ~ program(X1)
      | ~ halts2(X1,X1)
      | ~ sP16 ),
    inference(general_splitting,[],[f20,f83_D]) ).

fof(f83,plain,
    ! [X3] :
      ( sP16
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f83_D]) ).

fof(f83_D,plain,
    ( ! [X3] :
        ( ~ outputs(X3,bad)
        | ~ halts3(X3,f5(X3),f5(X3))
        | halts2(f5(X3),f5(X3))
        | ~ program(X3) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f20,axiom,
    ! [X3,X1] :
      ( ~ outputs(X3,bad)
      | ~ halts2(X1,X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | outputs(c2,good)
      | ~ program(X1)
      | ~ program(X3)
      | halts2(f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_8) ).

fof(f417,plain,
    ( spl34_17
    | spl34_40 ),
    inference(avatar_split_clause,[],[f55,f289,f185]) ).

fof(f289,plain,
    ( spl34_40
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_40])]) ).

fof(f55,plain,
    ! [X3] :
      ( sP2
      | ~ program(X3)
      | program(f5(X3)) ),
    inference(cnf_transformation,[],[f55_D]) ).

fof(f55_D,plain,
    ( ! [X3] :
        ( ~ program(X3)
        | program(f5(X3)) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f415,plain,
    ( spl34_22
    | ~ spl34_38 ),
    inference(avatar_split_clause,[],[f112,f279,f209]) ).

fof(f279,plain,
    ( spl34_38
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_38])]) ).

fof(f112,plain,
    ! [X2,X1] :
      ( ~ sP30
      | ~ program(X1)
      | decides(c1,X1,X2) ),
    inference(general_splitting,[],[f2,f111_D]) ).

fof(f111,plain,
    ! [X0] :
      ( sP30
      | program(f2(X0))
      | ~ algorithm(X0) ),
    inference(cnf_transformation,[],[f111_D]) ).

fof(f111_D,plain,
    ( ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( program(f2(X0))
      | decides(c1,X1,X2)
      | ~ program(X1)
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_2) ).

fof(f413,plain,
    ( ~ spl34_63
    | spl34_32 ),
    inference(avatar_split_clause,[],[f70,f255,f409]) ).

fof(f409,plain,
    ( spl34_63
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_63])]) ).

fof(f70,plain,
    ! [X1] :
      ( ~ halts2(X1,X1)
      | halts2(c2,X1)
      | ~ program(X1)
      | ~ sP9 ),
    inference(general_splitting,[],[f24,f69_D]) ).

fof(f69,plain,
    ! [X3] :
      ( ~ outputs(X3,good)
      | ~ program(X3)
      | sP9
      | ~ halts2(f5(X3),f5(X3))
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    inference(cnf_transformation,[],[f69_D]) ).

fof(f69_D,plain,
    ( ! [X3] :
        ( ~ outputs(X3,good)
        | ~ program(X3)
        | ~ halts2(f5(X3),f5(X3))
        | ~ halts3(X3,f5(X3),f5(X3)) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f24,axiom,
    ! [X3,X1] :
      ( ~ halts2(X1,X1)
      | halts2(c2,X1)
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,good)
      | ~ program(X1)
      | ~ halts2(f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_12) ).

fof(f412,plain,
    ( spl34_63
    | spl34_28 ),
    inference(avatar_split_clause,[],[f69,f236,f409]) ).

fof(f407,plain,
    ( spl34_62
    | spl34_28 ),
    inference(avatar_split_clause,[],[f91,f236,f404]) ).

fof(f402,plain,
    ( ~ spl34_52
    | spl34_57 ),
    inference(avatar_split_clause,[],[f76,f374,f345]) ).

fof(f345,plain,
    ( spl34_52
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_52])]) ).

fof(f76,plain,
    ! [X2,X1] :
      ( halts2(X1,X2)
      | ~ sP12
      | ~ program(X1) ),
    inference(general_splitting,[],[f12,f75_D]) ).

fof(f75,plain,
    ! [X3] :
      ( sP12
      | ~ decides(X3,f4(X3),f3(X3))
      | outputs(X3,bad)
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f75_D]) ).

fof(f75_D,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | outputs(X3,bad)
        | ~ program(X3) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f12,axiom,
    ! [X2,X3,X1] :
      ( ~ program(X3)
      | outputs(X3,bad)
      | ~ program(X1)
      | ~ decides(X3,f4(X3),f3(X3))
      | halts2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_8) ).

fof(f401,plain,
    ( spl34_17
    | spl34_50 ),
    inference(avatar_split_clause,[],[f115,f337,f185]) ).

fof(f337,plain,
    ( spl34_50
  <=> sP32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_50])]) ).

fof(f115,plain,
    ! [X3] :
      ( sP32
      | ~ program(X3)
      | program(f5(X3)) ),
    inference(cnf_transformation,[],[f115_D]) ).

fof(f115_D,plain,
    ( ! [X3] :
        ( ~ program(X3)
        | program(f5(X3)) )
  <=> ~ sP32 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f400,plain,
    ( spl34_34
    | spl34_44 ),
    inference(avatar_split_clause,[],[f95,f307,f264]) ).

fof(f307,plain,
    ( spl34_44
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_44])]) ).

fof(f95,plain,
    ! [X1] :
      ( sP22
      | halts2(c3,X1)
      | halts2(X1,X1)
      | ~ program(X1) ),
    inference(cnf_transformation,[],[f95_D]) ).

fof(f95_D,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | halts2(X1,X1)
        | ~ program(X1) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f398,plain,
    ( spl34_56
    | spl34_61 ),
    inference(avatar_split_clause,[],[f73,f396,f367]) ).

fof(f367,plain,
    ( spl34_56
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_56])]) ).

fof(f73,plain,
    ! [X3] :
      ( outputs(X3,good)
      | ~ program(X3)
      | program(f4(X3))
      | sP11 ),
    inference(cnf_transformation,[],[f73_D]) ).

fof(f73_D,plain,
    ( ! [X3] :
        ( outputs(X3,good)
        | ~ program(X3)
        | program(f4(X3)) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f383,plain,
    ( ~ spl34_16
    | spl34_47
    | spl34_46 ),
    inference(avatar_split_clause,[],[f80,f318,f322,f181]) ).

fof(f181,plain,
    ( spl34_16
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).

fof(f80,plain,
    ! [X1] :
      ( outputs(c2,good)
      | ~ halts2(X1,X1)
      | ~ sP14
      | ~ program(X1) ),
    inference(general_splitting,[],[f15,f79_D]) ).

fof(f79,plain,
    ! [X3] :
      ( program(f5(X3))
      | ~ program(X3)
      | sP14 ),
    inference(cnf_transformation,[],[f79_D]) ).

fof(f79_D,plain,
    ( ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f15,axiom,
    ! [X3,X1] :
      ( program(f5(X3))
      | outputs(c2,good)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ program(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_3) ).

fof(f382,plain,
    ( ~ spl34_49
    | spl34_39 ),
    inference(avatar_split_clause,[],[f94,f284,f331]) ).

fof(f331,plain,
    ( spl34_49
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).

fof(f94,plain,
    ! [X4] :
      ( ~ halts2(X4,f6(X4))
      | ~ sP21
      | ~ outputs(X4,good)
      | ~ outputs(X4,bad)
      | ~ program(X4) ),
    inference(general_splitting,[],[f47,f93_D]) ).

fof(f93,plain,
    ! [X1] :
      ( halts2(X1,X1)
      | ~ program(X1)
      | sP21
      | halts2(c3,X1) ),
    inference(cnf_transformation,[],[f93_D]) ).

fof(f93_D,plain,
    ( ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1)
        | halts2(c3,X1) )
  <=> ~ sP21 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f47,axiom,
    ! [X1,X4] :
      ( ~ program(X4)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X4,bad)
      | halts2(c3,X1)
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_15) ).

fof(f381,plain,
    ( spl34_58
    | spl34_25 ),
    inference(avatar_split_clause,[],[f105,f222,f378]) ).

fof(f376,plain,
    ( ~ spl34_35
    | spl34_57 ),
    inference(avatar_split_clause,[],[f114,f374,f268]) ).

fof(f268,plain,
    ( spl34_35
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_35])]) ).

fof(f114,plain,
    ! [X2,X1] :
      ( halts2(X1,X2)
      | ~ program(X1)
      | ~ sP31 ),
    inference(general_splitting,[],[f8,f113_D]) ).

fof(f113,plain,
    ! [X3] :
      ( program(f4(X3))
      | ~ program(X3)
      | outputs(X3,bad)
      | sP31 ),
    inference(cnf_transformation,[],[f113_D]) ).

fof(f113_D,plain,
    ( ! [X3] :
        ( program(f4(X3))
        | ~ program(X3)
        | outputs(X3,bad) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f8,axiom,
    ! [X2,X3,X1] :
      ( ~ program(X1)
      | program(f4(X3))
      | halts2(X1,X2)
      | outputs(X3,bad)
      | ~ program(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_4) ).

fof(f372,plain,
    ( spl34_41
    | spl34_37 ),
    inference(avatar_split_clause,[],[f1,f276,f294]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ algorithm(X0)
      | program(f2(X0))
      | program(c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_1) ).

fof(f371,plain,
    ( spl34_23
    | spl34_2 ),
    inference(avatar_split_clause,[],[f77,f124,f213]) ).

fof(f213,plain,
    ( spl34_23
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_23])]) ).

fof(f77,plain,
    ! [X3] :
      ( ~ outputs(X3,bad)
      | sP13
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f77_D]) ).

fof(f77_D,plain,
    ( ! [X3] :
        ( ~ outputs(X3,bad)
        | ~ halts3(X3,f5(X3),f5(X3))
        | halts2(f5(X3),f5(X3))
        | ~ program(X3) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f370,plain,
    ( ~ spl34_56
    | spl34_55 ),
    inference(avatar_split_clause,[],[f74,f363,f367]) ).

fof(f74,plain,
    ! [X2,X1] :
      ( ~ program(X1)
      | ~ halts2(X1,X2)
      | ~ sP11 ),
    inference(general_splitting,[],[f6,f73_D]) ).

fof(f6,axiom,
    ! [X2,X3,X1] :
      ( program(f4(X3))
      | outputs(X3,good)
      | ~ program(X1)
      | ~ program(X3)
      | ~ halts2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_2) ).

fof(f365,plain,
    ( ~ spl34_3
    | spl34_55 ),
    inference(avatar_split_clause,[],[f82,f363,f128]) ).

fof(f128,plain,
    ( spl34_3
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).

fof(f82,plain,
    ! [X2,X1] :
      ( ~ program(X1)
      | ~ halts2(X1,X2)
      | ~ sP15 ),
    inference(general_splitting,[],[f10,f81_D]) ).

fof(f81,plain,
    ! [X3] :
      ( ~ program(X3)
      | sP15
      | outputs(X3,good)
      | ~ decides(X3,f4(X3),f3(X3)) ),
    inference(cnf_transformation,[],[f81_D]) ).

fof(f81_D,plain,
    ( ! [X3] :
        ( ~ program(X3)
        | outputs(X3,good)
        | ~ decides(X3,f4(X3),f3(X3)) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f10,axiom,
    ! [X2,X3,X1] :
      ( ~ halts2(X1,X2)
      | outputs(X3,good)
      | ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3)
      | ~ program(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_6) ).

fof(f361,plain,
    ( spl34_2
    | spl34_54 ),
    inference(avatar_split_clause,[],[f83,f358,f124]) ).

fof(f356,plain,
    ( spl34_17
    | spl34_45 ),
    inference(avatar_split_clause,[],[f13,f313,f185]) ).

fof(f13,axiom,
    ! [X3] :
      ( program(c2)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_1) ).

fof(f355,plain,
    ( spl34_45
    | spl34_2 ),
    inference(avatar_split_clause,[],[f18,f124,f313]) ).

fof(f18,axiom,
    ! [X3] :
      ( ~ outputs(X3,bad)
      | program(c2)
      | halts2(f5(X3),f5(X3))
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_6) ).

fof(f349,plain,
    ( spl34_45
    | spl34_28 ),
    inference(avatar_split_clause,[],[f23,f236,f313]) ).

fof(f23,axiom,
    ! [X3] :
      ( ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,good)
      | program(c2)
      | ~ halts2(f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_11) ).

fof(f348,plain,
    ( spl34_51
    | spl34_52 ),
    inference(avatar_split_clause,[],[f75,f345,f342]) ).

fof(f340,plain,
    ( spl34_24
    | ~ spl34_50 ),
    inference(avatar_split_clause,[],[f116,f337,f217]) ).

fof(f116,plain,
    ! [X1] :
      ( ~ sP32
      | halts2(X1,X1)
      | ~ program(X1)
      | halts2(c2,X1) ),
    inference(general_splitting,[],[f16,f115_D]) ).

fof(f16,axiom,
    ! [X3,X1] :
      ( ~ program(X3)
      | halts2(c2,X1)
      | program(f5(X3))
      | ~ program(X1)
      | halts2(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_4) ).

fof(f334,plain,
    ( spl34_49
    | spl34_34 ),
    inference(avatar_split_clause,[],[f93,f264,f331]) ).

fof(f329,plain,
    ( spl34_10
    | spl34_43 ),
    inference(avatar_split_clause,[],[f41,f303,f156]) ).

fof(f41,axiom,
    ! [X4] :
      ( ~ halts2(X4,f6(X4))
      | ~ halts2(f6(X4),f6(X4))
      | program(c3)
      | ~ program(X4)
      | ~ outputs(X4,good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_9) ).

fof(f311,plain,
    ( spl34_28
    | spl34_29 ),
    inference(avatar_split_clause,[],[f89,f241,f236]) ).

fof(f241,plain,
    ( spl34_29
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).

fof(f89,plain,
    ! [X3] :
      ( sP19
      | ~ outputs(X3,good)
      | ~ halts2(f5(X3),f5(X3))
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    inference(cnf_transformation,[],[f89_D]) ).

fof(f89_D,plain,
    ( ! [X3] :
        ( ~ outputs(X3,good)
        | ~ halts2(f5(X3),f5(X3))
        | ~ program(X3)
        | ~ halts3(X3,f5(X3),f5(X3)) )
  <=> ~ sP19 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f310,plain,
    ( spl34_43
    | ~ spl34_44 ),
    inference(avatar_split_clause,[],[f96,f307,f303]) ).

fof(f96,plain,
    ! [X4] :
      ( ~ sP22
      | ~ halts2(X4,f6(X4))
      | ~ program(X4)
      | ~ outputs(X4,good)
      | ~ halts2(f6(X4),f6(X4)) ),
    inference(general_splitting,[],[f43,f95_D]) ).

fof(f43,axiom,
    ! [X1,X4] :
      ( ~ halts2(f6(X4),f6(X4))
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X1)
      | halts2(X1,X1)
      | halts2(c3,X1)
      | ~ program(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_11) ).

fof(f305,plain,
    ( ~ spl34_33
    | spl34_43 ),
    inference(avatar_split_clause,[],[f54,f303,f259]) ).

fof(f259,plain,
    ( spl34_33
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_33])]) ).

fof(f54,plain,
    ! [X4] :
      ( ~ program(X4)
      | ~ halts2(f6(X4),f6(X4))
      | ~ sP1
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4)) ),
    inference(general_splitting,[],[f42,f53_D]) ).

fof(f53,plain,
    ! [X1] :
      ( ~ program(X1)
      | ~ halts2(X1,X1)
      | ~ halts2(c3,X1)
      | sP1 ),
    inference(cnf_transformation,[],[f53_D]) ).

fof(f53_D,plain,
    ( ! [X1] :
        ( ~ program(X1)
        | ~ halts2(X1,X1)
        | ~ halts2(c3,X1) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f42,axiom,
    ! [X1,X4] :
      ( ~ program(X4)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ halts2(f6(X4),f6(X4))
      | ~ halts2(c3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_10) ).

fof(f301,plain,
    ( spl34_21
    | spl34_42 ),
    inference(avatar_split_clause,[],[f107,f298,f205]) ).

fof(f205,plain,
    ( spl34_21
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_21])]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ decides(X0,f2(X0),f1(X0))
      | sP28
      | ~ algorithm(X0) ),
    inference(cnf_transformation,[],[f107_D]) ).

fof(f107_D,plain,
    ( ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f300,plain,
    ( spl34_41
    | spl34_42 ),
    inference(avatar_split_clause,[],[f3,f298,f294]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ algorithm(X0)
      | program(c1)
      | ~ decides(X0,f2(X0),f1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_3) ).

fof(f292,plain,
    ( ~ spl34_40
    | spl34_32 ),
    inference(avatar_split_clause,[],[f56,f255,f289]) ).

fof(f56,plain,
    ! [X1] :
      ( ~ program(X1)
      | ~ sP2
      | halts2(c2,X1)
      | ~ halts2(X1,X1) ),
    inference(general_splitting,[],[f14,f55_D]) ).

fof(f14,axiom,
    ! [X3,X1] :
      ( program(f5(X3))
      | halts2(c2,X1)
      | ~ program(X1)
      | ~ program(X3)
      | ~ halts2(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_2) ).

fof(f286,plain,
    ( spl34_10
    | spl34_39 ),
    inference(avatar_split_clause,[],[f45,f284,f156]) ).

fof(f45,axiom,
    ! [X4] :
      ( ~ program(X4)
      | ~ outputs(X4,good)
      | ~ outputs(X4,bad)
      | program(c3)
      | ~ halts2(X4,f6(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_13) ).

fof(f282,plain,
    ( spl34_37
    | spl34_38 ),
    inference(avatar_split_clause,[],[f111,f279,f276]) ).

fof(f274,plain,
    ( spl34_35
    | spl34_36 ),
    inference(avatar_split_clause,[],[f113,f272,f268]) ).

fof(f266,plain,
    ( spl34_18
    | spl34_34 ),
    inference(avatar_split_clause,[],[f103,f264,f189]) ).

fof(f189,plain,
    ( spl34_18
  <=> sP26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).

fof(f103,plain,
    ! [X1] :
      ( halts2(c3,X1)
      | halts2(X1,X1)
      | sP26
      | ~ program(X1) ),
    inference(cnf_transformation,[],[f103_D]) ).

fof(f103_D,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | halts2(X1,X1)
        | ~ program(X1) )
  <=> ~ sP26 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f262,plain,
    ( spl34_33
    | spl34_25 ),
    inference(avatar_split_clause,[],[f53,f222,f259]) ).

fof(f257,plain,
    ( ~ spl34_31
    | spl34_32 ),
    inference(avatar_split_clause,[],[f118,f255,f251]) ).

fof(f118,plain,
    ! [X1] :
      ( halts2(c2,X1)
      | ~ sP33
      | ~ halts2(X1,X1)
      | ~ program(X1) ),
    inference(general_splitting,[],[f19,f117_D]) ).

fof(f19,axiom,
    ! [X3,X1] :
      ( ~ halts2(X1,X1)
      | ~ outputs(X3,bad)
      | halts2(f5(X3),f5(X3))
      | ~ program(X1)
      | halts2(c2,X1)
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_7) ).

fof(f244,plain,
    ( spl34_24
    | ~ spl34_29 ),
    inference(avatar_split_clause,[],[f90,f241,f217]) ).

fof(f90,plain,
    ! [X1] :
      ( ~ sP19
      | halts2(X1,X1)
      | ~ program(X1)
      | halts2(c2,X1) ),
    inference(general_splitting,[],[f26,f89_D]) ).

fof(f26,axiom,
    ! [X3,X1] :
      ( ~ program(X3)
      | halts2(c2,X1)
      | halts2(X1,X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X1)
      | ~ halts2(f5(X3),f5(X3))
      | ~ outputs(X3,good) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_14) ).

fof(f238,plain,
    ( spl34_19
    | spl34_28 ),
    inference(avatar_split_clause,[],[f71,f236,f194]) ).

fof(f194,plain,
    ( spl34_19
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_19])]) ).

fof(f71,plain,
    ! [X3] :
      ( ~ halts2(f5(X3),f5(X3))
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,good)
      | sP10
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f71_D]) ).

fof(f71_D,plain,
    ( ! [X3] :
        ( ~ halts2(f5(X3),f5(X3))
        | ~ halts3(X3,f5(X3),f5(X3))
        | ~ outputs(X3,good)
        | ~ program(X3) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f224,plain,
    ( spl34_20
    | spl34_25 ),
    inference(avatar_split_clause,[],[f87,f222,f199]) ).

fof(f199,plain,
    ( spl34_20
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_20])]) ).

fof(f87,plain,
    ! [X1] :
      ( ~ halts2(c3,X1)
      | ~ halts2(X1,X1)
      | sP18
      | ~ program(X1) ),
    inference(cnf_transformation,[],[f87_D]) ).

fof(f87_D,plain,
    ( ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ halts2(X1,X1)
        | ~ program(X1) )
  <=> ~ sP18 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).

fof(f220,plain,
    ( spl34_17
    | spl34_12 ),
    inference(avatar_split_clause,[],[f109,f164,f185]) ).

fof(f164,plain,
    ( spl34_12
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).

fof(f109,plain,
    ! [X3] :
      ( sP29
      | program(f5(X3))
      | ~ program(X3) ),
    inference(cnf_transformation,[],[f109_D]) ).

fof(f109_D,plain,
    ( ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f219,plain,
    ( ~ spl34_23
    | spl34_24 ),
    inference(avatar_split_clause,[],[f78,f217,f213]) ).

fof(f78,plain,
    ! [X1] :
      ( ~ program(X1)
      | halts2(c2,X1)
      | halts2(X1,X1)
      | ~ sP13 ),
    inference(general_splitting,[],[f21,f77_D]) ).

fof(f21,axiom,
    ! [X3,X1] :
      ( ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ program(X3)
      | halts2(f5(X3),f5(X3))
      | halts2(X1,X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(c2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_9) ).

fof(f211,plain,
    ( ~ spl34_21
    | spl34_22 ),
    inference(avatar_split_clause,[],[f108,f209,f205]) ).

fof(f108,plain,
    ! [X2,X1] :
      ( ~ program(X1)
      | ~ sP28
      | decides(c1,X1,X2) ),
    inference(general_splitting,[],[f4,f107_D]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ decides(X0,f2(X0),f1(X0))
      | ~ program(X1)
      | decides(c1,X1,X2)
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_4) ).

fof(f202,plain,
    ( ~ spl34_20
    | spl34_11 ),
    inference(avatar_split_clause,[],[f88,f160,f199]) ).

fof(f88,plain,
    ! [X4] :
      ( ~ program(X4)
      | ~ sP18
      | program(f6(X4)) ),
    inference(general_splitting,[],[f34,f87_D]) ).

fof(f34,axiom,
    ! [X1,X4] :
      ( ~ program(X4)
      | program(f6(X4))
      | ~ halts2(c3,X1)
      | ~ program(X1)
      | ~ halts2(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_2) ).

fof(f197,plain,
    ( spl34_14
    | ~ spl34_19
    | spl34_13 ),
    inference(avatar_split_clause,[],[f72,f168,f194,f171]) ).

fof(f72,plain,
    ! [X1] :
      ( ~ program(X1)
      | ~ sP10
      | halts2(X1,X1)
      | outputs(c2,bad) ),
    inference(general_splitting,[],[f27,f71_D]) ).

fof(f27,axiom,
    ! [X3,X1] :
      ( halts2(X1,X1)
      | outputs(c2,bad)
      | ~ program(X3)
      | ~ program(X1)
      | ~ outputs(X3,good)
      | ~ halts2(f5(X3),f5(X3))
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_15) ).

fof(f192,plain,
    ( spl34_11
    | ~ spl34_18 ),
    inference(avatar_split_clause,[],[f104,f189,f160]) ).

fof(f104,plain,
    ! [X4] :
      ( ~ sP26
      | ~ program(X4)
      | program(f6(X4)) ),
    inference(general_splitting,[],[f35,f103_D]) ).

fof(f35,axiom,
    ! [X1,X4] :
      ( halts2(c3,X1)
      | ~ program(X4)
      | halts2(X1,X1)
      | ~ program(X1)
      | program(f6(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_3) ).

fof(f187,plain,
    ( spl34_16
    | spl34_17 ),
    inference(avatar_split_clause,[],[f79,f185,f181]) ).

fof(f174,plain,
    ( ~ spl34_12
    | spl34_13
    | spl34_14 ),
    inference(avatar_split_clause,[],[f110,f171,f168,f164]) ).

fof(f110,plain,
    ! [X1] :
      ( outputs(c2,bad)
      | halts2(X1,X1)
      | ~ sP29
      | ~ program(X1) ),
    inference(general_splitting,[],[f17,f109_D]) ).

fof(f17,axiom,
    ! [X3,X1] :
      ( outputs(c2,bad)
      | ~ program(X3)
      | halts2(X1,X1)
      | ~ program(X1)
      | program(f5(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_5) ).

fof(f162,plain,
    ( spl34_10
    | spl34_11 ),
    inference(avatar_split_clause,[],[f33,f160,f156]) ).

fof(f33,axiom,
    ! [X4] :
      ( program(f6(X4))
      | program(c3)
      | ~ program(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_1) ).

fof(f134,plain,
    ( spl34_3
    | spl34_4 ),
    inference(avatar_split_clause,[],[f81,f132,f128]) ).

fof(f126,plain,
    ( spl34_1
    | spl34_2 ),
    inference(avatar_split_clause,[],[f63,f124,f120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COM003-1 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 16:57:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.46  % (17221)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.46  % (17221)Refutation not found, incomplete strategy% (17221)------------------------------
% 0.20/0.46  % (17221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46  % (17237)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.46  % (17221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46  % (17221)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46  
% 0.20/0.46  % (17221)Memory used [KB]: 5500
% 0.20/0.46  % (17221)Time elapsed: 0.060 s
% 0.20/0.46  % (17221)Instructions burned: 4 (million)
% 0.20/0.46  % (17221)------------------------------
% 0.20/0.46  % (17221)------------------------------
% 0.20/0.47  TRYING [1]
% 0.20/0.48  TRYING [2]
% 0.20/0.48  TRYING [3]
% 0.20/0.50  % (17242)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50  % (17230)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  TRYING [4]
% 0.20/0.50  % (17229)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (17237)Instruction limit reached!
% 0.20/0.50  % (17237)------------------------------
% 0.20/0.50  % (17237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (17237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (17237)Termination reason: Unknown
% 0.20/0.50  % (17237)Termination phase: Finite model building constraint generation
% 0.20/0.50  
% 0.20/0.50  % (17237)Memory used [KB]: 6524
% 0.20/0.50  % (17237)Time elapsed: 0.106 s
% 0.20/0.50  % (17237)Instructions burned: 59 (million)
% 0.20/0.50  % (17237)------------------------------
% 0.20/0.50  % (17237)------------------------------
% 0.20/0.51  % (17234)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (17232)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (17244)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (17227)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (17246)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (17247)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (17224)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (17223)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (17248)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (17235)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (17222)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (17239)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (17220)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (17230)First to succeed.
% 0.20/0.53  % (17233)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (17231)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (17250)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.20/0.53  % (17232)Also succeeded, but the first one will report.
% 0.20/0.53  % (17230)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (17230)------------------------------
% 0.20/0.53  % (17230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17230)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (17230)Memory used [KB]: 5884
% 0.20/0.53  % (17230)Time elapsed: 0.127 s
% 0.20/0.53  % (17230)Instructions burned: 13 (million)
% 0.20/0.53  % (17230)------------------------------
% 0.20/0.53  % (17230)------------------------------
% 0.20/0.53  % (17219)Success in time 0.191 s
%------------------------------------------------------------------------------