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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n022.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 15:53:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  210 (   2 unt;   0 def)
%            Number of atoms       :  897 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1324 ( 637   ~; 658   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   36 (  35 usr;  30 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  158 ( 158   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f452,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f72,f80,f84,f88,f92,f99,f108,f115,f123,f135,f139,f143,f149,f153,f169,f173,f180,f189,f195,f209,f215,f225,f234,f244,f251,f254,f273,f277,f280,f290,f300,f306,f309,f313,f323,f360,f368,f394,f402,f412,f443,f451]) ).

fof(f451,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13
    | spl0_27
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f450]) ).

fof(f450,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13
    | spl0_27
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f449,f63]) ).

fof(f63,plain,
    ( program(c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_2
  <=> program(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f449,plain,
    ( ~ program(c1)
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13
    | spl0_27
    | ~ spl0_31 ),
    inference(resolution,[],[f441,f185]) ).

fof(f185,plain,
    ( ~ program(f4(c1))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_27
  <=> program(f4(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f441,plain,
    ( ! [X0] :
        ( program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f439]) ).

fof(f439,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(resolution,[],[f417,f98]) ).

fof(f98,plain,
    ( ! [X3] :
        ( outputs(X3,good)
        | ~ program(X3)
        | program(f4(X3)) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_11
  <=> ! [X3] :
        ( program(f4(X3))
        | ~ program(X3)
        | outputs(X3,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f417,plain,
    ( ! [X0] :
        ( ~ outputs(X0,good)
        | ~ program(X0) )
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f416,f79]) ).

fof(f79,plain,
    ( ! [X4] :
        ( program(f6(X4))
        | ~ program(X4) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_6
  <=> ! [X4] :
        ( ~ program(X4)
        | program(f6(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f416,plain,
    ( ! [X0] :
        ( ~ program(f6(X0))
        | ~ outputs(X0,good)
        | ~ program(X0) )
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f414,f114]) ).

fof(f114,plain,
    ( ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl0_13
  <=> ! [X2,X1] :
        ( ~ program(X1)
        | halts2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f414,plain,
    ( ! [X0] :
        ( ~ outputs(X0,good)
        | ~ halts2(X0,f6(X0))
        | ~ program(f6(X0))
        | ~ program(X0) )
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(resolution,[],[f114,f208]) ).

fof(f208,plain,
    ( ! [X4] :
        ( ~ halts2(f6(X4),f6(X4))
        | ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl0_31
  <=> ! [X4] :
        ( ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good)
        | ~ halts2(f6(X4),f6(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f443,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f442]) ).

fof(f442,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f440,f63]) ).

fof(f440,plain,
    ( ~ program(c1)
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(resolution,[],[f417,f267]) ).

fof(f267,plain,
    ( outputs(c1,good)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_34
  <=> outputs(c1,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f412,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f408,f68]) ).

fof(f68,plain,
    ( program(c2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_3
  <=> program(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f408,plain,
    ( ~ program(c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f406]) ).

fof(f406,plain,
    ( ~ program(c2)
    | ~ program(c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(resolution,[],[f122,f87]) ).

fof(f87,plain,
    ( ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl0_8
  <=> ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f122,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl0_15
  <=> ! [X1] :
        ( ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f402,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f400,f76]) ).

fof(f76,plain,
    ( program(c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_5
  <=> program(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f400,plain,
    ( ~ program(c3)
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f399,f398]) ).

fof(f398,plain,
    ( halts2(c3,c3)
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f396,f76]) ).

fof(f396,plain,
    ( ~ program(c3)
    | halts2(c3,c3)
    | ~ spl0_20 ),
    inference(factoring,[],[f142]) ).

fof(f142,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | ~ program(X1)
        | halts2(X1,X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl0_20
  <=> ! [X1] :
        ( halts2(c3,X1)
        | halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f399,plain,
    ( ~ halts2(c3,c3)
    | ~ program(c3)
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(resolution,[],[f398,f138]) ).

fof(f138,plain,
    ( ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1)
        | ~ halts2(c3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f394,plain,
    ( ~ spl0_27
    | spl0_34
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f392,f167,f90,f61,f266,f183]) ).

fof(f90,plain,
    ( spl0_9
  <=> ! [X2,X1] :
        ( decides(c1,X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f167,plain,
    ( spl0_25
  <=> ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f392,plain,
    ( outputs(c1,good)
    | ~ program(f4(c1))
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f261,f63]) ).

fof(f261,plain,
    ( ~ program(f4(c1))
    | outputs(c1,good)
    | ~ program(c1)
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(resolution,[],[f168,f91]) ).

fof(f91,plain,
    ( ! [X2,X1] :
        ( decides(c1,X1,X2)
        | ~ program(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f168,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | outputs(X3,good)
        | ~ program(X3) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f368,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | spl0_27
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | spl0_27
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f366,f63]) ).

fof(f366,plain,
    ( ~ program(c1)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | spl0_27
    | ~ spl0_29 ),
    inference(resolution,[],[f355,f185]) ).

fof(f355,plain,
    ( ! [X1] :
        ( program(f4(X1))
        | ~ program(X1) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f354,f111]) ).

fof(f111,plain,
    ( ! [X3] :
        ( outputs(X3,bad)
        | program(f4(X3))
        | ~ program(X3) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_12
  <=> ! [X3] :
        ( ~ program(X3)
        | outputs(X3,bad)
        | program(f4(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f354,plain,
    ( ! [X1] :
        ( ~ outputs(X1,bad)
        | ~ program(X1)
        | program(f4(X1)) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f353,f98]) ).

fof(f353,plain,
    ( ! [X1] :
        ( ~ outputs(X1,good)
        | ~ outputs(X1,bad)
        | program(f4(X1))
        | ~ program(X1) )
    | ~ spl0_4
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f348,f71]) ).

fof(f71,plain,
    ( ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_4
  <=> ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f348,plain,
    ( ! [X1] :
        ( ~ program(f5(X1))
        | program(f4(X1))
        | ~ outputs(X1,bad)
        | ~ program(X1)
        | ~ outputs(X1,good) )
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f346,plain,
    ( ! [X1] :
        ( program(f4(X1))
        | ~ program(f5(X1))
        | ~ program(X1)
        | ~ outputs(X1,bad)
        | ~ outputs(X1,good)
        | ~ program(X1) )
    | ~ spl0_29 ),
    inference(resolution,[],[f194,f55]) ).

fof(f55,plain,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | program(f4(X3))
      | ~ program(X3)
      | ~ program(X1) ),
    inference(subsumption_resolution,[],[f5,f7]) ).

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

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

fof(f194,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ outputs(X3,good)
        | ~ program(X3)
        | ~ outputs(X3,bad) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl0_29
  <=> ! [X3] :
        ( ~ program(X3)
        | ~ outputs(X3,good)
        | ~ halts3(X3,f5(X3),f5(X3))
        | ~ outputs(X3,bad) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f360,plain,
    ( spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f43,f207,f141]) ).

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

fof(f323,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f322,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f321,f68]) ).

fof(f321,plain,
    ( ~ program(c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(resolution,[],[f320,f79]) ).

fof(f320,plain,
    ( ~ program(f6(c2))
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f319,f68]) ).

fof(f319,plain,
    ( ~ program(c2)
    | ~ program(f6(c2))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f318,f119]) ).

fof(f119,plain,
    ( outputs(c2,good)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl0_14
  <=> outputs(c2,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f318,plain,
    ( ~ outputs(c2,good)
    | ~ program(c2)
    | ~ program(f6(c2))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(resolution,[],[f317,f87]) ).

fof(f317,plain,
    ( ! [X1] :
        ( ~ halts2(X1,f6(X1))
        | ~ outputs(X1,good)
        | ~ program(X1) )
    | ~ spl0_6
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f315,f79]) ).

fof(f315,plain,
    ( ! [X1] :
        ( ~ program(f6(X1))
        | ~ halts2(X1,f6(X1))
        | ~ program(X1)
        | ~ outputs(X1,good) )
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(resolution,[],[f208,f130]) ).

fof(f130,plain,
    ( ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl0_17
  <=> ! [X1] :
        ( ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f313,plain,
    ( spl0_19
    | spl0_31 ),
    inference(avatar_split_clause,[],[f42,f207,f137]) ).

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

fof(f309,plain,
    ( spl0_17
    | spl0_18
    | spl0_29 ),
    inference(avatar_split_clause,[],[f32,f193,f132,f129]) ).

fof(f132,plain,
    ( spl0_18
  <=> outputs(c2,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f32,axiom,
    ! [X3,X1] :
      ( ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3)
      | ~ outputs(X3,bad)
      | outputs(c2,bad)
      | ~ program(X1)
      | ~ outputs(X3,good)
      | halts2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_3_20) ).

fof(f306,plain,
    ( spl0_15
    | spl0_14
    | spl0_29 ),
    inference(avatar_split_clause,[],[f30,f193,f117,f121]) ).

fof(f30,axiom,
    ! [X3,X1] :
      ( ~ outputs(X3,bad)
      | outputs(c2,good)
      | ~ outputs(X3,good)
      | ~ halts2(X1,X1)
      | ~ program(X3)
      | ~ program(X1)
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_3_18) ).

fof(f300,plain,
    ( spl0_32
    | spl0_8 ),
    inference(avatar_split_clause,[],[f51,f86,f213]) ).

fof(f213,plain,
    ( spl0_32
  <=> ! [X3] :
        ( ~ program(X3)
        | ~ outputs(X3,bad)
        | ~ halts3(X3,f5(X3),f5(X3))
        | halts2(f5(X3),f5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f51,plain,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | halts2(f5(X3),f5(X3))
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,bad)
      | ~ program(X1) ),
    inference(subsumption_resolution,[],[f19,f21]) ).

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

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

fof(f290,plain,
    ( ~ spl0_3
    | ~ spl0_18
    | ~ spl0_14
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f287,f151,f86,f78,f117,f132,f66]) ).

fof(f151,plain,
    ( spl0_22
  <=> ! [X4] :
        ( ~ outputs(X4,good)
        | ~ halts2(X4,f6(X4))
        | ~ program(X4)
        | ~ outputs(X4,bad) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f287,plain,
    ( ~ outputs(c2,good)
    | ~ outputs(c2,bad)
    | ~ program(c2)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f276,f79]) ).

fof(f276,plain,
    ( ~ program(f6(c2))
    | ~ outputs(c2,good)
    | ~ program(c2)
    | ~ outputs(c2,bad)
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(resolution,[],[f152,f87]) ).

fof(f152,plain,
    ( ! [X4] :
        ( ~ halts2(X4,f6(X4))
        | ~ outputs(X4,bad)
        | ~ outputs(X4,good)
        | ~ program(X4) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f280,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_35 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_35 ),
    inference(subsumption_resolution,[],[f278,f63]) ).

fof(f278,plain,
    ( ~ program(c1)
    | ~ spl0_4
    | spl0_35 ),
    inference(resolution,[],[f272,f71]) ).

fof(f272,plain,
    ( ~ program(f5(c1))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_35
  <=> program(f5(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f277,plain,
    ( spl0_22
    | spl0_20 ),
    inference(avatar_split_clause,[],[f47,f141,f151]) ).

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

fof(f273,plain,
    ( ~ spl0_34
    | ~ spl0_35
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f256,f193,f187,f183,f171,f90,f61,f270,f266]) ).

fof(f171,plain,
    ( spl0_26
  <=> ! [X3] :
        ( ~ program(X3)
        | outputs(X3,bad)
        | ~ decides(X3,f4(X3),f3(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f187,plain,
    ( spl0_28
  <=> ! [X2,X3] :
        ( halts3(c1,X2,X3)
        | ~ program(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f256,plain,
    ( ~ program(f5(c1))
    | ~ outputs(c1,good)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f255,f239]) ).

fof(f239,plain,
    ( outputs(c1,bad)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f238,f63]) ).

fof(f238,plain,
    ( outputs(c1,bad)
    | ~ program(c1)
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f236,f184]) ).

fof(f184,plain,
    ( program(f4(c1))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f236,plain,
    ( ~ program(f4(c1))
    | ~ program(c1)
    | outputs(c1,bad)
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(resolution,[],[f91,f172]) ).

fof(f172,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,bad) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f255,plain,
    ( ~ program(f5(c1))
    | ~ outputs(c1,bad)
    | ~ outputs(c1,good)
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f247,f63]) ).

fof(f247,plain,
    ( ~ program(c1)
    | ~ outputs(c1,good)
    | ~ program(f5(c1))
    | ~ outputs(c1,bad)
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(resolution,[],[f188,f194]) ).

fof(f188,plain,
    ( ! [X2,X3] :
        ( halts3(c1,X2,X3)
        | ~ program(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f254,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f253]) ).

fof(f253,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f252,f63]) ).

fof(f252,plain,
    ( ~ program(c1)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(resolution,[],[f250,f71]) ).

fof(f250,plain,
    ( ~ program(f5(c1))
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f249,f95]) ).

fof(f95,plain,
    ( ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_10
  <=> ! [X2,X1] :
        ( ~ program(X1)
        | ~ halts2(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f249,plain,
    ( ~ program(f5(c1))
    | halts2(f5(c1),f5(c1))
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f248,f239]) ).

fof(f248,plain,
    ( halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | ~ program(f5(c1))
    | ~ spl0_2
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f246,f63]) ).

fof(f246,plain,
    ( ~ program(c1)
    | ~ outputs(c1,bad)
    | halts2(f5(c1),f5(c1))
    | ~ program(f5(c1))
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(resolution,[],[f188,f214]) ).

fof(f214,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ program(X3)
        | halts2(f5(X3),f5(X3))
        | ~ outputs(X3,bad) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f251,plain,
    ( spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f46,f151,f137]) ).

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

fof(f244,plain,
    ( spl0_8
    | spl0_29 ),
    inference(avatar_split_clause,[],[f53,f193,f86]) ).

fof(f53,plain,
    ! [X3,X1] :
      ( ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | halts2(c2,X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3)
      | ~ program(X1) ),
    inference(subsumption_resolution,[],[f31,f29]) ).

fof(f29,axiom,
    ! [X3,X1] :
      ( ~ program(X1)
      | ~ program(X3)
      | halts2(c2,X1)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_3_17) ).

fof(f31,axiom,
    ! [X3,X1] :
      ( halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,good)
      | halts2(c2,X1)
      | ~ outputs(X3,bad)
      | ~ program(X3)
      | ~ halts3(X3,f5(X3),f5(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_3_19) ).

fof(f234,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f232,f49]) ).

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

fof(f232,plain,
    ( ~ algorithm(c4)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(resolution,[],[f227,f59]) ).

fof(f59,plain,
    ( ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_1
  <=> ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f227,plain,
    ( ~ program(f2(c4))
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f226,f49]) ).

fof(f226,plain,
    ( ~ program(f2(c4))
    | ~ algorithm(c4)
    | ~ spl0_7 ),
    inference(resolution,[],[f83,f50]) ).

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

fof(f83,plain,
    ( ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl0_7
  <=> ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f225,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_27
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_27
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f223,f63]) ).

fof(f223,plain,
    ( ~ program(c1)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f222,f185]) ).

fof(f222,plain,
    ( ! [X1] :
        ( program(f4(X1))
        | ~ program(X1) )
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f221,f71]) ).

fof(f221,plain,
    ( ! [X1] :
        ( ~ program(X1)
        | program(f4(X1))
        | ~ program(f5(X1)) )
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f220,f111]) ).

fof(f220,plain,
    ( ! [X1] :
        ( program(f4(X1))
        | ~ outputs(X1,bad)
        | ~ program(f5(X1))
        | ~ program(X1) )
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f219,f95]) ).

fof(f219,plain,
    ( ! [X1] :
        ( halts2(f5(X1),f5(X1))
        | ~ outputs(X1,bad)
        | ~ program(f5(X1))
        | ~ program(X1)
        | program(f4(X1)) )
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,plain,
    ( ! [X1] :
        ( ~ outputs(X1,bad)
        | program(f4(X1))
        | ~ program(X1)
        | ~ program(X1)
        | halts2(f5(X1),f5(X1))
        | ~ program(f5(X1)) )
    | ~ spl0_32 ),
    inference(resolution,[],[f214,f55]) ).

fof(f215,plain,
    ( spl0_32
    | spl0_3 ),
    inference(avatar_split_clause,[],[f18,f66,f213]) ).

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

fof(f209,plain,
    ( spl0_5
    | spl0_31 ),
    inference(avatar_split_clause,[],[f41,f207,f74]) ).

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

fof(f195,plain,
    ( spl0_3
    | spl0_29 ),
    inference(avatar_split_clause,[],[f28,f193,f66]) ).

fof(f28,axiom,
    ! [X3] :
      ( ~ program(X3)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | program(c2)
      | ~ outputs(X3,good) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_3_16) ).

fof(f189,plain,
    ( ~ spl0_27
    | spl0_28
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f156,f90,f61,f187,f183]) ).

fof(f156,plain,
    ( ! [X2,X3] :
        ( halts3(c1,X2,X3)
        | ~ program(f4(c1))
        | ~ program(X2) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f155,f63]) ).

fof(f155,plain,
    ( ! [X2,X3] :
        ( ~ program(f4(c1))
        | ~ program(c1)
        | halts3(c1,X2,X3)
        | ~ program(X2) )
    | ~ spl0_9 ),
    inference(resolution,[],[f54,f91]) ).

fof(f54,plain,
    ! [X2,X3,X1] :
      ( ~ decides(X3,f4(X3),f3(X3))
      | halts3(X3,X1,X2)
      | ~ program(X3)
      | ~ program(X1) ),
    inference(subsumption_resolution,[],[f11,f9]) ).

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

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

fof(f180,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f174,f63]) ).

fof(f174,plain,
    ( ! [X1] : ~ program(X1)
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f114,f95]) ).

fof(f173,plain,
    ( spl0_26
    | spl0_13 ),
    inference(avatar_split_clause,[],[f12,f113,f171]) ).

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

fof(f169,plain,
    ( spl0_10
    | spl0_25 ),
    inference(avatar_split_clause,[],[f10,f167,f94]) ).

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

fof(f153,plain,
    ( spl0_5
    | spl0_22 ),
    inference(avatar_split_clause,[],[f45,f151,f74]) ).

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

fof(f149,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f4,f90,f82]) ).

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

fof(f143,plain,
    ( spl0_20
    | spl0_6 ),
    inference(avatar_split_clause,[],[f35,f78,f141]) ).

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

fof(f139,plain,
    ( spl0_6
    | spl0_19 ),
    inference(avatar_split_clause,[],[f34,f137,f78]) ).

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

fof(f135,plain,
    ( spl0_4
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f17,f132,f129,f70]) ).

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

fof(f123,plain,
    ( spl0_4
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f15,f121,f117,f70]) ).

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

fof(f115,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f8,f113,f110]) ).

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

fof(f108,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f101,f68]) ).

fof(f101,plain,
    ( ! [X0] : ~ program(X0)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f100,f68]) ).

fof(f100,plain,
    ( ! [X0] :
        ( ~ program(c2)
        | ~ program(X0) )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f95,f87]) ).

fof(f99,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f6,f97,f94]) ).

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

fof(f92,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f2,f58,f90]) ).

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

fof(f88,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f52,f70,f86]) ).

fof(f52,plain,
    ! [X3,X1] :
      ( program(f5(X3))
      | halts2(c2,X1)
      | ~ program(X1)
      | ~ program(X3) ),
    inference(subsumption_resolution,[],[f14,f16]) ).

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

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

fof(f84,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f3,f82,f61]) ).

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

fof(f80,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f78,f74]) ).

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

fof(f72,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f13,f70,f66]) ).

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

fof(f64,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f61,f58]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COM003-1 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 17:02:11 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (1760)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (1760)First to succeed.
% 0.20/0.55  % (1750)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.55  % (1784)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.56  % (1759)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (1760)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (1760)------------------------------
% 0.20/0.56  % (1760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (1760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1760)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (1760)Memory used [KB]: 6140
% 0.20/0.56  % (1760)Time elapsed: 0.128 s
% 0.20/0.56  % (1760)Instructions burned: 10 (million)
% 0.20/0.56  % (1760)------------------------------
% 0.20/0.56  % (1760)------------------------------
% 0.20/0.56  % (1746)Success in time 0.214 s
%------------------------------------------------------------------------------