TSTP Solution File: COM003+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:46:06 EDT 2024

% Result   : Theorem 0.57s 0.81s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  244 (   3 unt;   0 def)
%            Number of atoms       : 1150 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives : 1521 ( 615   ~; 612   |; 203   &)
%                                         (  43 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   52 (  51 usr;  46 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  269 ( 210   !;  59   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f555,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f103,f108,f109,f116,f120,f127,f131,f143,f151,f167,f175,f179,f187,f191,f196,f204,f216,f232,f241,f245,f250,f296,f307,f336,f350,f398,f403,f406,f423,f430,f433,f437,f445,f447,f453,f457,f458,f464,f468,f479,f487,f491,f492,f505,f507,f508,f542,f551,f554]) ).

fof(f554,plain,
    ( spl12_43
    | ~ spl12_57
    | ~ spl12_44
    | ~ spl12_4
    | ~ spl12_13
    | spl12_58 ),
    inference(avatar_split_clause,[],[f553,f420,f141,f105,f275,f416,f271]) ).

fof(f271,plain,
    ( spl12_43
  <=> program(sK5(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).

fof(f416,plain,
    ( spl12_57
  <=> program(sK7(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_57])]) ).

fof(f275,plain,
    ( spl12_44
  <=> outputs(sK2,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).

fof(f105,plain,
    ( spl12_4
  <=> program(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f141,plain,
    ( spl12_13
  <=> ! [X0] :
        ( ~ outputs(X0,bad)
        | ~ program(X0)
        | halts2(sK7(X0),sK7(X0))
        | ~ halts3(X0,sK7(X0),sK7(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

fof(f420,plain,
    ( spl12_58
  <=> halts2(sK7(sK2),sK7(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).

fof(f553,plain,
    ( ~ program(sK2)
    | ~ outputs(sK2,bad)
    | ~ program(sK7(sK2))
    | program(sK5(sK2))
    | ~ spl12_13
    | spl12_58 ),
    inference(resolution,[],[f421,f320]) ).

fof(f320,plain,
    ( ! [X0] :
        ( halts2(sK7(X0),sK7(X0))
        | ~ program(X0)
        | ~ outputs(X0,bad)
        | ~ program(sK7(X0))
        | program(sK5(X0)) )
    | ~ spl12_13 ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f317,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | halts2(sK7(X0),sK7(X0))
        | ~ outputs(X0,bad)
        | halts2(sK7(X0),sK7(X0))
        | ~ program(sK7(X0))
        | program(sK5(X0))
        | ~ program(X0) )
    | ~ spl12_13 ),
    inference(resolution,[],[f142,f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( halts3(X0,X1,X2)
      | halts2(X1,X2)
      | ~ program(X1)
      | program(sK5(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( outputs(X0,bad)
              & halts3(X0,X1,X2) )
            | halts2(X1,X2)
            | ~ program(X1) )
          & ( ( outputs(X0,good)
              & halts3(X0,X1,X2) )
            | ~ halts2(X1,X2)
            | ~ program(X1) ) )
      | ( ~ decides(X0,sK5(X0),sK6(X0))
        & program(sK5(X0)) )
      | ~ program(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f30,f32,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] : ~ decides(X0,X3,X4)
          & program(X3) )
     => ( ? [X4] : ~ decides(X0,sK5(X0),X4)
        & program(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0] :
      ( ? [X4] : ~ decides(X0,sK5(X0),X4)
     => ~ decides(X0,sK5(X0),sK6(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( outputs(X0,bad)
              & halts3(X0,X1,X2) )
            | halts2(X1,X2)
            | ~ program(X1) )
          & ( ( outputs(X0,good)
              & halts3(X0,X1,X2) )
            | ~ halts2(X1,X2)
            | ~ program(X1) ) )
      | ? [X3] :
          ( ? [X4] : ~ decides(X0,X3,X4)
          & program(X3) )
      | ~ program(X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ! [X3,X4] :
          ( ( ( outputs(X0,bad)
              & halts3(X0,X3,X4) )
            | halts2(X3,X4)
            | ~ program(X3) )
          & ( ( outputs(X0,good)
              & halts3(X0,X3,X4) )
            | ~ halts2(X3,X4)
            | ~ program(X3) ) )
      | ? [X1] :
          ( ? [X2] : ~ decides(X0,X1,X2)
          & program(X1) )
      | ~ program(X0) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ! [X3,X4] :
          ( ( ( outputs(X0,bad)
              & halts3(X0,X3,X4) )
            | halts2(X3,X4)
            | ~ program(X3) )
          & ( ( outputs(X0,good)
              & halts3(X0,X3,X4) )
            | ~ halts2(X3,X4)
            | ~ program(X3) ) )
      | ? [X1] :
          ( ? [X2] : ~ decides(X0,X1,X2)
          & program(X1) )
      | ~ program(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( program(X1)
           => ! [X2] : decides(X0,X1,X2) )
        & program(X0) )
     => ! [X3,X4] :
          ( ( ( ~ halts2(X3,X4)
              & program(X3) )
           => ( outputs(X0,bad)
              & halts3(X0,X3,X4) ) )
          & ( ( halts2(X3,X4)
              & program(X3) )
           => ( outputs(X0,good)
              & halts3(X0,X3,X4) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3] :
      ( ( ! [X1] :
            ( program(X1)
           => ! [X2] : decides(X3,X1,X2) )
        & program(X3) )
     => ! [X1,X2] :
          ( ( ( ~ halts2(X1,X2)
              & program(X1) )
           => ( outputs(X3,bad)
              & halts3(X3,X1,X2) ) )
          & ( ( halts2(X1,X2)
              & program(X1) )
           => ( outputs(X3,good)
              & halts3(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659',p2) ).

fof(f142,plain,
    ( ! [X0] :
        ( ~ halts3(X0,sK7(X0),sK7(X0))
        | ~ program(X0)
        | halts2(sK7(X0),sK7(X0))
        | ~ outputs(X0,bad) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f421,plain,
    ( ~ halts2(sK7(sK2),sK7(sK2))
    | spl12_58 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f551,plain,
    ( ~ spl12_4
    | ~ spl12_57
    | ~ spl12_59
    | ~ spl12_58
    | ~ spl12_15
    | spl12_43 ),
    inference(avatar_split_clause,[],[f550,f271,f149,f420,f425,f416,f105]) ).

fof(f425,plain,
    ( spl12_59
  <=> outputs(sK2,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_59])]) ).

fof(f149,plain,
    ( spl12_15
  <=> ! [X0] :
        ( ~ halts2(sK7(X0),sK7(X0))
        | ~ program(X0)
        | ~ halts3(X0,sK7(X0),sK7(X0))
        | ~ outputs(X0,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f550,plain,
    ( ~ halts2(sK7(sK2),sK7(sK2))
    | ~ outputs(sK2,good)
    | ~ program(sK7(sK2))
    | ~ program(sK2)
    | ~ spl12_15
    | spl12_43 ),
    inference(resolution,[],[f323,f273]) ).

fof(f273,plain,
    ( ~ program(sK5(sK2))
    | spl12_43 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f323,plain,
    ( ! [X0] :
        ( program(sK5(X0))
        | ~ halts2(sK7(X0),sK7(X0))
        | ~ outputs(X0,good)
        | ~ program(sK7(X0))
        | ~ program(X0) )
    | ~ spl12_15 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ halts2(sK7(X0),sK7(X0))
        | ~ outputs(X0,good)
        | ~ halts2(sK7(X0),sK7(X0))
        | ~ program(sK7(X0))
        | program(sK5(X0))
        | ~ program(X0) )
    | ~ spl12_15 ),
    inference(resolution,[],[f150,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( halts3(X0,X1,X2)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | program(sK5(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f150,plain,
    ( ! [X0] :
        ( ~ halts3(X0,sK7(X0),sK7(X0))
        | ~ program(X0)
        | ~ halts2(sK7(X0),sK7(X0))
        | ~ outputs(X0,good) )
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f542,plain,
    ( spl12_59
    | ~ spl12_4
    | ~ spl12_10
    | spl12_43 ),
    inference(avatar_split_clause,[],[f509,f271,f129,f105,f425]) ).

fof(f129,plain,
    ( spl12_10
  <=> ! [X0] :
        ( outputs(X0,good)
        | ~ program(X0)
        | program(sK5(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).

fof(f509,plain,
    ( ~ program(sK2)
    | outputs(sK2,good)
    | ~ spl12_10
    | spl12_43 ),
    inference(resolution,[],[f273,f130]) ).

fof(f130,plain,
    ( ! [X0] :
        ( program(sK5(X0))
        | ~ program(X0)
        | outputs(X0,good) )
    | ~ spl12_10 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f508,plain,
    ( spl12_43
    | ~ spl12_4
    | ~ spl12_7
    | spl12_44 ),
    inference(avatar_split_clause,[],[f480,f275,f118,f105,f271]) ).

fof(f118,plain,
    ( spl12_7
  <=> ! [X0] :
        ( outputs(X0,bad)
        | ~ program(X0)
        | program(sK5(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f480,plain,
    ( ~ program(sK2)
    | program(sK5(sK2))
    | ~ spl12_7
    | spl12_44 ),
    inference(resolution,[],[f276,f119]) ).

fof(f119,plain,
    ( ! [X0] :
        ( outputs(X0,bad)
        | ~ program(X0)
        | program(sK5(X0)) )
    | ~ spl12_7 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f276,plain,
    ( ~ outputs(sK2,bad)
    | spl12_44 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f507,plain,
    ( ~ spl12_43
    | ~ spl12_2
    | spl12_65 ),
    inference(avatar_split_clause,[],[f506,f502,f97,f271]) ).

fof(f97,plain,
    ( spl12_2
  <=> ! [X2,X1] :
        ( decides(sK2,X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f502,plain,
    ( spl12_65
  <=> decides(sK2,sK5(sK2),sK6(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_65])]) ).

fof(f506,plain,
    ( ~ program(sK5(sK2))
    | ~ spl12_2
    | spl12_65 ),
    inference(resolution,[],[f504,f98]) ).

fof(f98,plain,
    ( ! [X2,X1] :
        ( decides(sK2,X1,X2)
        | ~ program(X1) )
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f504,plain,
    ( ~ decides(sK2,sK5(sK2),sK6(sK2))
    | spl12_65 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,plain,
    ( ~ spl12_65
    | ~ spl12_4
    | ~ spl12_9
    | spl12_59 ),
    inference(avatar_split_clause,[],[f495,f425,f125,f105,f502]) ).

fof(f125,plain,
    ( spl12_9
  <=> ! [X0] :
        ( outputs(X0,good)
        | ~ program(X0)
        | ~ decides(X0,sK5(X0),sK6(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

fof(f495,plain,
    ( ~ program(sK2)
    | ~ decides(sK2,sK5(sK2),sK6(sK2))
    | ~ spl12_9
    | spl12_59 ),
    inference(resolution,[],[f126,f427]) ).

fof(f427,plain,
    ( ~ outputs(sK2,good)
    | spl12_59 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f126,plain,
    ( ! [X0] :
        ( outputs(X0,good)
        | ~ program(X0)
        | ~ decides(X0,sK5(X0),sK6(X0)) )
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f492,plain,
    ( ~ spl12_57
    | ~ spl12_5
    | spl12_58 ),
    inference(avatar_split_clause,[],[f490,f420,f111,f416]) ).

fof(f111,plain,
    ( spl12_5
  <=> ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f490,plain,
    ( ~ program(sK7(sK2))
    | ~ spl12_5
    | spl12_58 ),
    inference(resolution,[],[f421,f112]) ).

fof(f112,plain,
    ( ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f491,plain,
    ( ~ spl12_57
    | ~ spl12_20
    | spl12_58 ),
    inference(avatar_split_clause,[],[f489,f420,f169,f416]) ).

fof(f169,plain,
    ( spl12_20
  <=> ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).

fof(f489,plain,
    ( ~ program(sK7(sK2))
    | ~ spl12_20
    | spl12_58 ),
    inference(resolution,[],[f421,f170]) ).

fof(f170,plain,
    ( ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl12_20 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f487,plain,
    ( ~ spl12_59
    | ~ spl12_4
    | ~ spl12_57
    | ~ spl12_58
    | ~ spl12_15
    | ~ spl12_60 ),
    inference(avatar_split_clause,[],[f486,f435,f149,f420,f416,f105,f425]) ).

fof(f435,plain,
    ( spl12_60
  <=> ! [X0,X1] :
        ( ~ halts2(X0,X1)
        | halts3(sK2,X0,X1)
        | ~ program(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_60])]) ).

fof(f486,plain,
    ( ~ halts2(sK7(sK2),sK7(sK2))
    | ~ program(sK7(sK2))
    | ~ program(sK2)
    | ~ outputs(sK2,good)
    | ~ spl12_15
    | ~ spl12_60 ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f483,plain,
    ( ~ halts2(sK7(sK2),sK7(sK2))
    | ~ program(sK7(sK2))
    | ~ program(sK2)
    | ~ halts2(sK7(sK2),sK7(sK2))
    | ~ outputs(sK2,good)
    | ~ spl12_15
    | ~ spl12_60 ),
    inference(resolution,[],[f436,f150]) ).

fof(f436,plain,
    ( ! [X0,X1] :
        ( halts3(sK2,X0,X1)
        | ~ halts2(X0,X1)
        | ~ program(X0) )
    | ~ spl12_60 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f479,plain,
    ( ~ spl12_55
    | ~ spl12_20
    | spl12_54 ),
    inference(avatar_split_clause,[],[f478,f391,f169,f395]) ).

fof(f395,plain,
    ( spl12_55
  <=> program(sK9(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).

fof(f391,plain,
    ( spl12_54
  <=> halts2(sK9(sK8),sK9(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_54])]) ).

fof(f478,plain,
    ( ~ program(sK9(sK8))
    | ~ spl12_20
    | spl12_54 ),
    inference(resolution,[],[f392,f170]) ).

fof(f392,plain,
    ( ~ halts2(sK9(sK8),sK9(sK8))
    | spl12_54 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f468,plain,
    ( ~ spl12_62
    | ~ spl12_39
    | ~ spl12_38
    | ~ spl12_62 ),
    inference(avatar_split_clause,[],[f467,f461,f243,f247,f461]) ).

fof(f247,plain,
    ( spl12_39
  <=> program(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).

fof(f243,plain,
    ( spl12_38
  <=> ! [X1] :
        ( ~ halts2(sK10,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_38])]) ).

fof(f461,plain,
    ( spl12_62
  <=> halts2(sK10,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_62])]) ).

fof(f467,plain,
    ( ~ program(sK10)
    | ~ halts2(sK10,sK10)
    | ~ spl12_38
    | ~ spl12_62 ),
    inference(resolution,[],[f463,f244]) ).

fof(f244,plain,
    ( ! [X1] :
        ( ~ halts2(sK10,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) )
    | ~ spl12_38 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f463,plain,
    ( halts2(sK10,sK10)
    | ~ spl12_62 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f464,plain,
    ( ~ spl12_39
    | spl12_62
    | ~ spl12_37 ),
    inference(avatar_split_clause,[],[f459,f239,f461,f247]) ).

fof(f239,plain,
    ( spl12_37
  <=> ! [X1] :
        ( halts2(sK10,X1)
        | ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).

fof(f459,plain,
    ( halts2(sK10,sK10)
    | ~ program(sK10)
    | ~ spl12_37 ),
    inference(factoring,[],[f240]) ).

fof(f240,plain,
    ( ! [X1] :
        ( halts2(sK10,X1)
        | ~ program(X1)
        | halts2(X1,X1) )
    | ~ spl12_37 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f458,plain,
    ( ~ spl12_21
    | ~ spl12_24
    | ~ spl12_26
    | ~ spl12_54
    | ~ spl12_55
    | ~ spl12_25
    | ~ spl12_28 ),
    inference(avatar_split_clause,[],[f456,f202,f189,f395,f391,f193,f184,f172]) ).

fof(f172,plain,
    ( spl12_21
  <=> outputs(sK8,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).

fof(f184,plain,
    ( spl12_24
  <=> outputs(sK8,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).

fof(f193,plain,
    ( spl12_26
  <=> program(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).

fof(f189,plain,
    ( spl12_25
  <=> ! [X1] :
        ( halts2(sK8,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).

fof(f202,plain,
    ( spl12_28
  <=> ! [X0] :
        ( ~ outputs(X0,bad)
        | ~ program(X0)
        | ~ outputs(X0,good)
        | ~ halts2(X0,sK9(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).

fof(f456,plain,
    ( ~ program(sK9(sK8))
    | ~ halts2(sK9(sK8),sK9(sK8))
    | ~ program(sK8)
    | ~ outputs(sK8,good)
    | ~ outputs(sK8,bad)
    | ~ spl12_25
    | ~ spl12_28 ),
    inference(resolution,[],[f190,f203]) ).

fof(f203,plain,
    ( ! [X0] :
        ( ~ halts2(X0,sK9(X0))
        | ~ program(X0)
        | ~ outputs(X0,good)
        | ~ outputs(X0,bad) )
    | ~ spl12_28 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f190,plain,
    ( ! [X1] :
        ( halts2(sK8,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) )
    | ~ spl12_25 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f457,plain,
    ( ~ spl12_54
    | ~ spl12_55
    | ~ spl12_25
    | spl12_61 ),
    inference(avatar_split_clause,[],[f455,f450,f189,f395,f391]) ).

fof(f450,plain,
    ( spl12_61
  <=> halts2(sK8,sK9(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_61])]) ).

fof(f455,plain,
    ( ~ program(sK9(sK8))
    | ~ halts2(sK9(sK8),sK9(sK8))
    | ~ spl12_25
    | spl12_61 ),
    inference(resolution,[],[f190,f452]) ).

fof(f452,plain,
    ( ~ halts2(sK8,sK9(sK8))
    | spl12_61 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f453,plain,
    ( ~ spl12_24
    | ~ spl12_61
    | ~ spl12_26
    | ~ spl12_31
    | ~ spl12_54 ),
    inference(avatar_split_clause,[],[f448,f391,f214,f193,f450,f184]) ).

fof(f214,plain,
    ( spl12_31
  <=> ! [X0] :
        ( ~ halts2(sK9(X0),sK9(X0))
        | ~ program(X0)
        | ~ halts2(X0,sK9(X0))
        | ~ outputs(X0,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).

fof(f448,plain,
    ( ~ program(sK8)
    | ~ halts2(sK8,sK9(sK8))
    | ~ outputs(sK8,good)
    | ~ spl12_31
    | ~ spl12_54 ),
    inference(resolution,[],[f393,f215]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ halts2(sK9(X0),sK9(X0))
        | ~ program(X0)
        | ~ halts2(X0,sK9(X0))
        | ~ outputs(X0,good) )
    | ~ spl12_31 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f393,plain,
    ( halts2(sK9(sK8),sK9(sK8))
    | ~ spl12_54 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f447,plain,
    ( ~ spl12_26
    | ~ spl12_35
    | spl12_55 ),
    inference(avatar_split_clause,[],[f446,f395,f230,f193]) ).

fof(f230,plain,
    ( spl12_35
  <=> ! [X0] :
        ( program(sK9(X0))
        | ~ program(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).

fof(f446,plain,
    ( ~ program(sK8)
    | ~ spl12_35
    | spl12_55 ),
    inference(resolution,[],[f397,f231]) ).

fof(f231,plain,
    ( ! [X0] :
        ( program(sK9(X0))
        | ~ program(X0) )
    | ~ spl12_35 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f397,plain,
    ( ~ program(sK9(sK8))
    | spl12_55 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f445,plain,
    ( ~ spl12_26
    | ~ spl12_23
    | ~ spl12_56 ),
    inference(avatar_split_clause,[],[f441,f400,f181,f193]) ).

fof(f181,plain,
    ( spl12_23
  <=> ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).

fof(f400,plain,
    ( spl12_56
  <=> halts2(sK8,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_56])]) ).

fof(f441,plain,
    ( ~ program(sK8)
    | ~ spl12_23
    | ~ spl12_56 ),
    inference(resolution,[],[f182,f402]) ).

fof(f402,plain,
    ( halts2(sK8,sK8)
    | ~ spl12_56 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f182,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl12_23 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f437,plain,
    ( ~ spl12_43
    | ~ spl12_4
    | spl12_60
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f340,f97,f435,f105,f271]) ).

fof(f340,plain,
    ( ! [X0,X1] :
        ( ~ halts2(X0,X1)
        | ~ program(X0)
        | halts3(sK2,X0,X1)
        | ~ program(sK2)
        | ~ program(sK5(sK2)) )
    | ~ spl12_2 ),
    inference(resolution,[],[f53,f98]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ decides(X0,sK5(X0),sK6(X0))
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | halts3(X0,X1,X2)
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f433,plain,
    ( ~ spl12_57
    | ~ spl12_8
    | ~ spl12_58 ),
    inference(avatar_split_clause,[],[f432,f420,f122,f416]) ).

fof(f122,plain,
    ( spl12_8
  <=> ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

fof(f432,plain,
    ( ~ program(sK7(sK2))
    | ~ spl12_8
    | ~ spl12_58 ),
    inference(resolution,[],[f422,f123]) ).

fof(f123,plain,
    ( ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f422,plain,
    ( halts2(sK7(sK2),sK7(sK2))
    | ~ spl12_58 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f430,plain,
    ( ~ spl12_4
    | ~ spl12_19
    | spl12_57 ),
    inference(avatar_split_clause,[],[f429,f416,f165,f105]) ).

fof(f165,plain,
    ( spl12_19
  <=> ! [X0] :
        ( program(sK7(X0))
        | ~ program(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).

fof(f429,plain,
    ( ~ program(sK2)
    | ~ spl12_19
    | spl12_57 ),
    inference(resolution,[],[f418,f166]) ).

fof(f166,plain,
    ( ! [X0] :
        ( program(sK7(X0))
        | ~ program(X0) )
    | ~ spl12_19 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f418,plain,
    ( ~ program(sK7(sK2))
    | spl12_57 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f423,plain,
    ( ~ spl12_44
    | ~ spl12_4
    | ~ spl12_57
    | spl12_58
    | ~ spl12_13
    | ~ spl12_50 ),
    inference(avatar_split_clause,[],[f414,f348,f141,f420,f416,f105,f275]) ).

fof(f348,plain,
    ( spl12_50
  <=> ! [X0,X1] :
        ( halts2(X0,X1)
        | halts3(sK2,X0,X1)
        | ~ program(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_50])]) ).

fof(f414,plain,
    ( halts2(sK7(sK2),sK7(sK2))
    | ~ program(sK7(sK2))
    | ~ program(sK2)
    | ~ outputs(sK2,bad)
    | ~ spl12_13
    | ~ spl12_50 ),
    inference(duplicate_literal_removal,[],[f412]) ).

fof(f412,plain,
    ( halts2(sK7(sK2),sK7(sK2))
    | ~ program(sK7(sK2))
    | ~ program(sK2)
    | halts2(sK7(sK2),sK7(sK2))
    | ~ outputs(sK2,bad)
    | ~ spl12_13
    | ~ spl12_50 ),
    inference(resolution,[],[f349,f142]) ).

fof(f349,plain,
    ( ! [X0,X1] :
        ( halts3(sK2,X0,X1)
        | halts2(X0,X1)
        | ~ program(X0) )
    | ~ spl12_50 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f406,plain,
    ( ~ spl12_46
    | ~ spl12_3
    | spl12_45 ),
    inference(avatar_split_clause,[],[f404,f289,f101,f293]) ).

fof(f293,plain,
    ( spl12_46
  <=> algorithm(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).

fof(f101,plain,
    ( spl12_3
  <=> ! [X3] :
        ( program(sK3(X3))
        | ~ algorithm(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f289,plain,
    ( spl12_45
  <=> program(sK3(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_45])]) ).

fof(f404,plain,
    ( ~ algorithm(sK11)
    | ~ spl12_3
    | spl12_45 ),
    inference(resolution,[],[f102,f291]) ).

fof(f291,plain,
    ( ~ program(sK3(sK11))
    | spl12_45 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f102,plain,
    ( ! [X3] :
        ( program(sK3(X3))
        | ~ algorithm(X3) )
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f403,plain,
    ( ~ spl12_26
    | spl12_56
    | ~ spl12_22 ),
    inference(avatar_split_clause,[],[f388,f177,f400,f193]) ).

fof(f177,plain,
    ( spl12_22
  <=> ! [X1] :
        ( halts2(sK8,X1)
        | ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).

fof(f388,plain,
    ( halts2(sK8,sK8)
    | ~ program(sK8)
    | ~ spl12_22 ),
    inference(factoring,[],[f178]) ).

fof(f178,plain,
    ( ! [X1] :
        ( halts2(sK8,X1)
        | ~ program(X1)
        | halts2(X1,X1) )
    | ~ spl12_22 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f398,plain,
    ( ~ spl12_21
    | ~ spl12_24
    | ~ spl12_26
    | spl12_54
    | ~ spl12_55
    | ~ spl12_22
    | ~ spl12_28 ),
    inference(avatar_split_clause,[],[f387,f202,f177,f395,f391,f193,f184,f172]) ).

fof(f387,plain,
    ( ~ program(sK9(sK8))
    | halts2(sK9(sK8),sK9(sK8))
    | ~ program(sK8)
    | ~ outputs(sK8,good)
    | ~ outputs(sK8,bad)
    | ~ spl12_22
    | ~ spl12_28 ),
    inference(resolution,[],[f178,f203]) ).

fof(f350,plain,
    ( ~ spl12_43
    | ~ spl12_4
    | spl12_50
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f342,f97,f348,f105,f271]) ).

fof(f342,plain,
    ( ! [X0,X1] :
        ( halts2(X0,X1)
        | ~ program(X0)
        | halts3(sK2,X0,X1)
        | ~ program(sK2)
        | ~ program(sK5(sK2)) )
    | ~ spl12_2 ),
    inference(resolution,[],[f57,f98]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ decides(X0,sK5(X0),sK6(X0))
      | halts2(X1,X2)
      | ~ program(X1)
      | halts3(X0,X1,X2)
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f336,plain,
    ( ~ spl12_43
    | spl12_44
    | ~ spl12_4
    | ~ spl12_2
    | ~ spl12_6 ),
    inference(avatar_split_clause,[],[f309,f114,f97,f105,f275,f271]) ).

fof(f114,plain,
    ( spl12_6
  <=> ! [X0] :
        ( outputs(X0,bad)
        | ~ program(X0)
        | ~ decides(X0,sK5(X0),sK6(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f309,plain,
    ( ~ program(sK2)
    | outputs(sK2,bad)
    | ~ program(sK5(sK2))
    | ~ spl12_2
    | ~ spl12_6 ),
    inference(resolution,[],[f115,f98]) ).

fof(f115,plain,
    ( ! [X0] :
        ( ~ decides(X0,sK5(X0),sK6(X0))
        | ~ program(X0)
        | outputs(X0,bad) )
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f307,plain,
    spl12_46,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl12_46 ),
    inference(resolution,[],[f295,f87]) ).

fof(f87,plain,
    algorithm(sK11),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ! [X1] :
        ( ! [X2] : decides(sK11,X1,X2)
        | ~ program(X1) )
    & algorithm(sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f20,f46]) ).

fof(f46,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ! [X2] : decides(X0,X1,X2)
            | ~ program(X1) )
        & algorithm(X0) )
   => ( ! [X1] :
          ( ! [X2] : decides(sK11,X1,X2)
          | ~ program(X1) )
      & algorithm(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0] :
      ( ! [X1] :
          ( ! [X2] : decides(X0,X1,X2)
          | ~ program(X1) )
      & algorithm(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ? [X0] :
      ( ! [X1] :
          ( program(X1)
         => ! [X2] : decides(X0,X1,X2) )
      & algorithm(X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ~ ~ ? [X0] :
          ( ! [X1] :
              ( program(X1)
             => ! [X2] : decides(X0,X1,X2) )
          & algorithm(X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ~ ? [X6] :
          ( ! [X7] :
              ( program(X7)
             => ! [X8] : decides(X6,X7,X8) )
          & algorithm(X6) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ~ ? [X6] :
        ( ! [X7] :
            ( program(X7)
           => ! [X8] : decides(X6,X7,X8) )
        & algorithm(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659',prove_this) ).

fof(f295,plain,
    ( ~ algorithm(sK11)
    | spl12_46 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f296,plain,
    ( ~ spl12_45
    | ~ spl12_46
    | ~ spl12_1 ),
    inference(avatar_split_clause,[],[f286,f94,f293,f289]) ).

fof(f94,plain,
    ( spl12_1
  <=> ! [X3] :
        ( ~ decides(X3,sK3(X3),sK4(X3))
        | ~ algorithm(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f286,plain,
    ( ~ algorithm(sK11)
    | ~ program(sK3(sK11))
    | ~ spl12_1 ),
    inference(resolution,[],[f95,f88]) ).

fof(f88,plain,
    ! [X2,X1] :
      ( decides(sK11,X1,X2)
      | ~ program(X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f95,plain,
    ( ! [X3] :
        ( ~ decides(X3,sK3(X3),sK4(X3))
        | ~ algorithm(X3) )
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f250,plain,
    ( spl12_27
    | spl12_39 ),
    inference(avatar_split_clause,[],[f83,f247,f198]) ).

fof(f198,plain,
    ( spl12_27
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).

fof(f83,plain,
    ( program(sK10)
    | sP1 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( ! [X1] :
          ( ( ( outputs(sK10,bad)
              & halts2(sK10,X1) )
            | halts2(X1,X1)
            | ~ program(X1) )
          & ( ~ halts2(sK10,X1)
            | ~ halts2(X1,X1)
            | ~ program(X1) ) )
      & program(sK10) )
    | sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f43,f44]) ).

fof(f44,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( outputs(X0,bad)
                & halts2(X0,X1) )
              | halts2(X1,X1)
              | ~ program(X1) )
            & ( ~ halts2(X0,X1)
              | ~ halts2(X1,X1)
              | ~ program(X1) ) )
        & program(X0) )
   => ( ! [X1] :
          ( ( ( outputs(sK10,bad)
              & halts2(sK10,X1) )
            | halts2(X1,X1)
            | ~ program(X1) )
          & ( ~ halts2(sK10,X1)
            | ~ halts2(X1,X1)
            | ~ program(X1) ) )
      & program(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( outputs(X0,bad)
                & halts2(X0,X1) )
              | halts2(X1,X1)
              | ~ program(X1) )
            & ( ~ halts2(X0,X1)
              | ~ halts2(X1,X1)
              | ~ program(X1) ) )
        & program(X0) )
    | sP1 ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ~ halts2(X2,X3)
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | sP1 ),
    inference(definition_folding,[],[f19,f23]) ).

fof(f23,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts2(X0,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts2(X0,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f19,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ~ halts2(X2,X3)
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts2(X0,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts2(X0,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) ) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ~ halts2(X2,X3)
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts2(X0,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts2(X0,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X0,bad)
                & halts2(X0,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ( outputs(X0,good)
                & halts2(X0,X1) ) ) )
        & program(X0) )
   => ? [X2] :
        ( ! [X3] :
            ( ( ( ~ halts2(X3,X3)
                & program(X3) )
             => ( outputs(X2,bad)
                & halts2(X2,X3) ) )
            & ( ( halts2(X3,X3)
                & program(X3) )
             => ~ halts2(X2,X3) ) )
        & program(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ( ? [X4] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X4,bad)
                & halts2(X4,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ( outputs(X4,good)
                & halts2(X4,X1) ) ) )
        & program(X4) )
   => ? [X5] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X5,bad)
                & halts2(X5,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ~ halts2(X5,X1) ) )
        & program(X5) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659',p4) ).

fof(f245,plain,
    ( spl12_27
    | spl12_38 ),
    inference(avatar_split_clause,[],[f84,f243,f198]) ).

fof(f84,plain,
    ! [X1] :
      ( ~ halts2(sK10,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | sP1 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f241,plain,
    ( spl12_27
    | spl12_37 ),
    inference(avatar_split_clause,[],[f85,f239,f198]) ).

fof(f85,plain,
    ! [X1] :
      ( halts2(sK10,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | sP1 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f232,plain,
    ( ~ spl12_27
    | spl12_35 ),
    inference(avatar_split_clause,[],[f89,f230,f198]) ).

fof(f89,plain,
    ! [X0] :
      ( program(sK9(X0))
      | ~ program(X0)
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( program(sK9(X0))
      | program(sK9(X0))
      | ~ program(X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ! [X0] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,sK9(X0)) )
          & ~ halts2(sK9(X0),sK9(X0))
          & program(sK9(X0)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,sK9(X0)) )
          & halts2(sK9(X0),sK9(X0))
          & program(sK9(X0)) )
        | ~ program(X0) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f40,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ( ~ outputs(X0,bad)
              | ~ halts2(X0,X1) )
            & ~ halts2(X1,X1)
            & program(X1) )
          | ( ( ~ outputs(X0,good)
              | ~ halts2(X0,X1) )
            & halts2(X1,X1)
            & program(X1) ) )
     => ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,sK9(X0)) )
          & ~ halts2(sK9(X0),sK9(X0))
          & program(sK9(X0)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,sK9(X0)) )
          & halts2(sK9(X0),sK9(X0))
          & program(sK9(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts2(X0,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts2(X0,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f216,plain,
    ( ~ spl12_27
    | spl12_31 ),
    inference(avatar_split_clause,[],[f79,f214,f198]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ halts2(sK9(X0),sK9(X0))
      | ~ outputs(X0,good)
      | ~ halts2(X0,sK9(X0))
      | ~ program(X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f204,plain,
    ( ~ spl12_27
    | spl12_28 ),
    inference(avatar_split_clause,[],[f90,f202,f198]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ outputs(X0,bad)
      | ~ halts2(X0,sK9(X0))
      | ~ outputs(X0,good)
      | ~ program(X0)
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ outputs(X0,bad)
      | ~ halts2(X0,sK9(X0))
      | ~ outputs(X0,good)
      | ~ halts2(X0,sK9(X0))
      | ~ program(X0)
      | ~ sP1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f196,plain,
    ( spl12_11
    | spl12_26 ),
    inference(avatar_split_clause,[],[f69,f193,f133]) ).

fof(f133,plain,
    ( spl12_11
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

fof(f69,plain,
    ( program(sK8)
    | sP0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( ! [X1] :
          ( ( ( outputs(sK8,bad)
              & halts2(sK8,X1) )
            | halts2(X1,X1)
            | ~ program(X1) )
          & ( ( outputs(sK8,good)
              & halts2(sK8,X1) )
            | ~ halts2(X1,X1)
            | ~ program(X1) ) )
      & program(sK8) )
    | sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f37,f38]) ).

fof(f38,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( outputs(X0,bad)
                & halts2(X0,X1) )
              | halts2(X1,X1)
              | ~ program(X1) )
            & ( ( outputs(X0,good)
                & halts2(X0,X1) )
              | ~ halts2(X1,X1)
              | ~ program(X1) ) )
        & program(X0) )
   => ( ! [X1] :
          ( ( ( outputs(sK8,bad)
              & halts2(sK8,X1) )
            | halts2(X1,X1)
            | ~ program(X1) )
          & ( ( outputs(sK8,good)
              & halts2(sK8,X1) )
            | ~ halts2(X1,X1)
            | ~ program(X1) ) )
      & program(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( outputs(X0,bad)
                & halts2(X0,X1) )
              | halts2(X1,X1)
              | ~ program(X1) )
            & ( ( outputs(X0,good)
                & halts2(X0,X1) )
              | ~ halts2(X1,X1)
              | ~ program(X1) ) )
        & program(X0) )
    | sP0 ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ( outputs(X2,good)
                & halts2(X2,X3) )
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | sP0 ),
    inference(definition_folding,[],[f17,f21]) ).

fof(f21,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts3(X0,X1,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts3(X0,X1,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f17,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ( outputs(X2,good)
                & halts2(X2,X3) )
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts3(X0,X1,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts3(X0,X1,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ( ? [X2] :
        ( ! [X3] :
            ( ( ( outputs(X2,bad)
                & halts2(X2,X3) )
              | halts2(X3,X3)
              | ~ program(X3) )
            & ( ( outputs(X2,good)
                & halts2(X2,X3) )
              | ~ halts2(X3,X3)
              | ~ program(X3) ) )
        & program(X2) )
    | ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts3(X0,X1,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts3(X0,X1,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X0,bad)
                & halts3(X0,X1,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ( outputs(X0,good)
                & halts3(X0,X1,X1) ) ) )
        & program(X0) )
   => ? [X2] :
        ( ! [X3] :
            ( ( ( ~ halts2(X3,X3)
                & program(X3) )
             => ( outputs(X2,bad)
                & halts2(X2,X3) ) )
            & ( ( halts2(X3,X3)
                & program(X3) )
             => ( outputs(X2,good)
                & halts2(X2,X3) ) ) )
        & program(X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ( ? [X3] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X3,bad)
                & halts3(X3,X1,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ( outputs(X3,good)
                & halts3(X3,X1,X1) ) ) )
        & program(X3) )
   => ? [X4] :
        ( ! [X1] :
            ( ( ( ~ halts2(X1,X1)
                & program(X1) )
             => ( outputs(X4,bad)
                & halts2(X4,X1) ) )
            & ( ( halts2(X1,X1)
                & program(X1) )
             => ( outputs(X4,good)
                & halts2(X4,X1) ) ) )
        & program(X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659',p3) ).

fof(f191,plain,
    ( spl12_11
    | spl12_25 ),
    inference(avatar_split_clause,[],[f70,f189,f133]) ).

fof(f70,plain,
    ! [X1] :
      ( halts2(sK8,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | sP0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f187,plain,
    ( spl12_11
    | spl12_23
    | spl12_24 ),
    inference(avatar_split_clause,[],[f71,f184,f181,f133]) ).

fof(f71,plain,
    ! [X1] :
      ( outputs(sK8,good)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | sP0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f179,plain,
    ( spl12_11
    | spl12_22 ),
    inference(avatar_split_clause,[],[f72,f177,f133]) ).

fof(f72,plain,
    ! [X1] :
      ( halts2(sK8,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | sP0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f175,plain,
    ( spl12_11
    | spl12_20
    | spl12_21 ),
    inference(avatar_split_clause,[],[f73,f172,f169,f133]) ).

fof(f73,plain,
    ! [X1] :
      ( outputs(sK8,bad)
      | halts2(X1,X1)
      | ~ program(X1)
      | sP0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f167,plain,
    ( ~ spl12_11
    | spl12_19 ),
    inference(avatar_split_clause,[],[f91,f165,f133]) ).

fof(f91,plain,
    ! [X0] :
      ( program(sK7(X0))
      | ~ program(X0)
      | ~ sP0 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( program(sK7(X0))
      | program(sK7(X0))
      | ~ program(X0)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ! [X0] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,sK7(X0),sK7(X0)) )
          & ~ halts2(sK7(X0),sK7(X0))
          & program(sK7(X0)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,sK7(X0),sK7(X0)) )
          & halts2(sK7(X0),sK7(X0))
          & program(sK7(X0)) )
        | ~ program(X0) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f34,f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ( ~ outputs(X0,bad)
              | ~ halts3(X0,X1,X1) )
            & ~ halts2(X1,X1)
            & program(X1) )
          | ( ( ~ outputs(X0,good)
              | ~ halts3(X0,X1,X1) )
            & halts2(X1,X1)
            & program(X1) ) )
     => ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,sK7(X0),sK7(X0)) )
          & ~ halts2(sK7(X0),sK7(X0))
          & program(sK7(X0)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,sK7(X0),sK7(X0)) )
          & halts2(sK7(X0),sK7(X0))
          & program(sK7(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ( ! [X0] :
        ( ? [X1] :
            ( ( ( ~ outputs(X0,bad)
                | ~ halts3(X0,X1,X1) )
              & ~ halts2(X1,X1)
              & program(X1) )
            | ( ( ~ outputs(X0,good)
                | ~ halts3(X0,X1,X1) )
              & halts2(X1,X1)
              & program(X1) ) )
        | ~ program(X0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f151,plain,
    ( ~ spl12_11
    | spl12_15 ),
    inference(avatar_split_clause,[],[f65,f149,f133]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ halts2(sK7(X0),sK7(X0))
      | ~ outputs(X0,good)
      | ~ halts3(X0,sK7(X0),sK7(X0))
      | ~ program(X0)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f143,plain,
    ( ~ spl12_11
    | spl12_13 ),
    inference(avatar_split_clause,[],[f67,f141,f133]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ outputs(X0,bad)
      | ~ halts3(X0,sK7(X0),sK7(X0))
      | halts2(sK7(X0),sK7(X0))
      | ~ program(X0)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f131,plain,
    ( spl12_8
    | spl12_10 ),
    inference(avatar_split_clause,[],[f54,f129,f122]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( outputs(X0,good)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | program(sK5(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f127,plain,
    ( spl12_8
    | spl12_9 ),
    inference(avatar_split_clause,[],[f55,f125,f122]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( outputs(X0,good)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X0,sK5(X0),sK6(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f120,plain,
    ( spl12_5
    | spl12_7 ),
    inference(avatar_split_clause,[],[f58,f118,f111]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( outputs(X0,bad)
      | halts2(X1,X2)
      | ~ program(X1)
      | program(sK5(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f116,plain,
    ( spl12_5
    | spl12_6 ),
    inference(avatar_split_clause,[],[f59,f114,f111]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( outputs(X0,bad)
      | halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X0,sK5(X0),sK6(X0))
      | ~ program(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f109,plain,
    ( spl12_3
    | spl12_4 ),
    inference(avatar_split_clause,[],[f48,f105,f101]) ).

fof(f48,plain,
    ! [X3] :
      ( program(sK2)
      | program(sK3(X3))
      | ~ algorithm(X3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( ! [X1] :
          ( ! [X2] : decides(sK2,X1,X2)
          | ~ program(X1) )
      & program(sK2) )
    | ! [X3] :
        ( ( ~ decides(X3,sK3(X3),sK4(X3))
          & program(sK3(X3)) )
        | ~ algorithm(X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f25,f28,f27,f26]) ).

fof(f26,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ! [X2] : decides(X0,X1,X2)
            | ~ program(X1) )
        & program(X0) )
   => ( ! [X1] :
          ( ! [X2] : decides(sK2,X1,X2)
          | ~ program(X1) )
      & program(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X3] :
      ( ? [X4] :
          ( ? [X5] : ~ decides(X3,X4,X5)
          & program(X4) )
     => ( ? [X5] : ~ decides(X3,sK3(X3),X5)
        & program(sK3(X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ! [X3] :
      ( ? [X5] : ~ decides(X3,sK3(X3),X5)
     => ~ decides(X3,sK3(X3),sK4(X3)) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ! [X2] : decides(X0,X1,X2)
            | ~ program(X1) )
        & program(X0) )
    | ! [X3] :
        ( ? [X4] :
            ( ? [X5] : ~ decides(X3,X4,X5)
            & program(X4) )
        | ~ algorithm(X3) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ! [X5] : decides(X3,X4,X5)
            | ~ program(X4) )
        & program(X3) )
    | ! [X0] :
        ( ? [X1] :
            ( ? [X2] : ~ decides(X0,X1,X2)
            & program(X1) )
        | ~ algorithm(X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( program(X1)
           => ! [X2] : decides(X0,X1,X2) )
        & algorithm(X0) )
   => ? [X3] :
        ( ! [X4] :
            ( program(X4)
           => ! [X5] : decides(X3,X4,X5) )
        & program(X3) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ( ? [X0] :
        ( ! [X1] :
            ( program(X1)
           => ! [X2] : decides(X0,X1,X2) )
        & algorithm(X0) )
   => ? [X3] :
        ( ! [X1] :
            ( program(X1)
           => ! [X2] : decides(X3,X1,X2) )
        & program(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659',p1) ).

fof(f108,plain,
    ( spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f49,f105,f94]) ).

fof(f49,plain,
    ! [X3] :
      ( program(sK2)
      | ~ decides(X3,sK3(X3),sK4(X3))
      | ~ algorithm(X3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f103,plain,
    ( spl12_3
    | spl12_2 ),
    inference(avatar_split_clause,[],[f50,f97,f101]) ).

fof(f50,plain,
    ! [X2,X3,X1] :
      ( decides(sK2,X1,X2)
      | ~ program(X1)
      | program(sK3(X3))
      | ~ algorithm(X3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f99,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f51,f97,f94]) ).

fof(f51,plain,
    ! [X2,X3,X1] :
      ( decides(sK2,X1,X2)
      | ~ program(X1)
      | ~ decides(X3,sK3(X3),sK4(X3))
      | ~ algorithm(X3) ),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 21:26:23 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.suv1T6gMke/Vampire---4.8_19659
% 0.57/0.80  % (19770)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.80  % (19771)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.80  % (19772)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.80  % (19769)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.57/0.80  % (19773)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.80  % (19774)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.57/0.80  % (19775)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.57/0.80  % (19768)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.80  % (19775)Refutation not found, incomplete strategy% (19775)------------------------------
% 0.57/0.80  % (19775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (19773)Refutation not found, incomplete strategy% (19773)------------------------------
% 0.57/0.80  % (19773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (19773)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (19773)Memory used [KB]: 956
% 0.57/0.80  % (19773)Time elapsed: 0.003 s
% 0.57/0.80  % (19773)Instructions burned: 2 (million)
% 0.57/0.80  % (19771)Refutation not found, incomplete strategy% (19771)------------------------------
% 0.57/0.80  % (19771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (19775)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (19775)Memory used [KB]: 955
% 0.57/0.80  % (19775)Time elapsed: 0.003 s
% 0.57/0.80  % (19775)Instructions burned: 2 (million)
% 0.57/0.80  % (19771)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (19771)Memory used [KB]: 962
% 0.57/0.80  % (19771)Time elapsed: 0.003 s
% 0.57/0.80  % (19771)Instructions burned: 2 (million)
% 0.57/0.80  % (19773)------------------------------
% 0.57/0.80  % (19773)------------------------------
% 0.57/0.80  % (19775)------------------------------
% 0.57/0.80  % (19775)------------------------------
% 0.57/0.80  % (19771)------------------------------
% 0.57/0.80  % (19771)------------------------------
% 0.57/0.80  % (19772)Refutation not found, incomplete strategy% (19772)------------------------------
% 0.57/0.80  % (19772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (19772)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (19772)Memory used [KB]: 1067
% 0.57/0.80  % (19772)Time elapsed: 0.004 s
% 0.57/0.80  % (19772)Instructions burned: 4 (million)
% 0.57/0.80  % (19772)------------------------------
% 0.57/0.80  % (19772)------------------------------
% 0.57/0.80  % (19774)Refutation not found, incomplete strategy% (19774)------------------------------
% 0.57/0.80  % (19774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (19774)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (19774)Memory used [KB]: 1122
% 0.57/0.80  % (19774)Time elapsed: 0.005 s
% 0.57/0.80  % (19774)Instructions burned: 6 (million)
% 0.57/0.80  % (19774)------------------------------
% 0.57/0.80  % (19774)------------------------------
% 0.57/0.80  % (19776)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.57/0.81  % (19778)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.57/0.81  % (19777)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.57/0.81  % (19779)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.57/0.81  % (19769)First to succeed.
% 0.57/0.81  % (19780)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.57/0.81  % (19778)Refutation not found, incomplete strategy% (19778)------------------------------
% 0.57/0.81  % (19778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81  % (19778)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.81  
% 0.57/0.81  % (19778)Memory used [KB]: 1088
% 0.57/0.81  % (19778)Time elapsed: 0.003 s
% 0.57/0.81  % (19778)Instructions burned: 4 (million)
% 0.57/0.81  % (19778)------------------------------
% 0.57/0.81  % (19778)------------------------------
% 0.57/0.81  % (19770)Also succeeded, but the first one will report.
% 0.57/0.81  % (19768)Also succeeded, but the first one will report.
% 0.57/0.81  % (19780)Refutation not found, incomplete strategy% (19780)------------------------------
% 0.57/0.81  % (19780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81  % (19780)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.81  
% 0.57/0.81  % (19780)Memory used [KB]: 1120
% 0.57/0.81  % (19780)Time elapsed: 0.003 s
% 0.57/0.81  % (19780)Instructions burned: 4 (million)
% 0.57/0.81  % (19780)------------------------------
% 0.57/0.81  % (19780)------------------------------
% 0.57/0.81  % (19769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19767"
% 0.57/0.81  % (19781)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.57/0.81  % (19769)Refutation found. Thanks to Tanya!
% 0.57/0.81  % SZS status Theorem for Vampire---4
% 0.57/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.81  % (19769)------------------------------
% 0.57/0.81  % (19769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81  % (19769)Termination reason: Refutation
% 0.57/0.81  
% 0.57/0.81  % (19769)Memory used [KB]: 1249
% 0.57/0.81  % (19769)Time elapsed: 0.013 s
% 0.57/0.81  % (19769)Instructions burned: 18 (million)
% 0.57/0.81  % (19767)Success in time 0.475 s
% 0.57/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------