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 v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  171 (   8 unt;  20 typ;   0 def)
%            Number of atoms       :  584 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  759 ( 326   ~; 291   |;  85   &)
%                                         (  22 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   16 (  10   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  28 usr;  25 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  226 ( 184   !;  42   ?; 226   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    program: $tType ).

tff(type_def_6,type,
    algorithm: $tType ).

tff(type_def_7,type,
    input: $tType ).

tff(type_def_8,type,
    output: $tType ).

tff(func_def_0,type,
    bad: output ).

tff(func_def_1,type,
    good: output ).

tff(func_def_2,type,
    algorithm_of: program > algorithm ).

tff(func_def_3,type,
    as_input: program > input ).

tff(func_def_4,type,
    sK2: algorithm ).

tff(func_def_5,type,
    sK3: program ).

tff(func_def_6,type,
    sK4: algorithm > program ).

tff(func_def_7,type,
    sK5: algorithm > input ).

tff(func_def_8,type,
    sK6: program > program ).

tff(func_def_9,type,
    sK7: program ).

tff(func_def_10,type,
    sK8: program > program ).

tff(func_def_11,type,
    sK9: program ).

tff(pred_def_1,type,
    decides: ( algorithm * program * input ) > $o ).

tff(pred_def_2,type,
    halts2: ( program * input ) > $o ).

tff(pred_def_3,type,
    halts3: ( program * program * input ) > $o ).

tff(pred_def_4,type,
    outputs: ( program * output ) > $o ).

tff(f254,plain,
    $false,
    inference(avatar_sat_refutation,[],[f68,f75,f83,f95,f99,f111,f115,f123,f127,f136,f140,f148,f152,f154,f159,f177,f185,f190,f192,f202,f210,f234,f237,f253]) ).

tff(f253,plain,
    ( ~ spl10_10
    | ~ spl10_11
    | ~ spl10_20
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

tff(f252,plain,
    ( $false
    | ~ spl10_10
    | ~ spl10_11
    | ~ spl10_20
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(subsumption_resolution,[],[f251,f214]) ).

tff(f214,plain,
    ( ! [X1: program] : halts2(sK9,as_input(X1))
    | ~ spl10_20
    | ~ spl10_23 ),
    inference(subsumption_resolution,[],[f139,f151]) ).

tff(f151,plain,
    ( ! [X1: program] :
        ( halts2(sK9,as_input(X1))
        | ~ halts2(X1,as_input(X1)) )
    | ~ spl10_23 ),
    inference(avatar_component_clause,[],[f150]) ).

tff(f150,plain,
    ( spl10_23
  <=> ! [X1: program] :
        ( halts2(sK9,as_input(X1))
        | ~ halts2(X1,as_input(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).

tff(f139,plain,
    ( ! [X1: program] :
        ( halts2(sK9,as_input(X1))
        | halts2(X1,as_input(X1)) )
    | ~ spl10_20 ),
    inference(avatar_component_clause,[],[f138]) ).

tff(f138,plain,
    ( spl10_20
  <=> ! [X1: program] :
        ( halts2(sK9,as_input(X1))
        | halts2(X1,as_input(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).

tff(f251,plain,
    ( ~ halts2(sK9,as_input(sK6(sK9)))
    | ~ spl10_10
    | ~ spl10_11
    | ~ spl10_22 ),
    inference(resolution,[],[f239,f147]) ).

tff(f147,plain,
    ( outputs(sK9,good)
    | ~ spl10_22 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f145,plain,
    ( spl10_22
  <=> outputs(sK9,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).

tff(f239,plain,
    ( ! [X0: program] :
        ( ~ outputs(X0,good)
        | ~ halts2(X0,as_input(sK6(X0))) )
    | ~ spl10_10
    | ~ spl10_11 ),
    inference(resolution,[],[f102,f98]) ).

tff(f98,plain,
    ( ! [X0: program] :
        ( ~ halts2(sK6(X0),as_input(sK6(X0)))
        | ~ halts2(X0,as_input(sK6(X0)))
        | ~ outputs(X0,good) )
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f97]) ).

tff(f97,plain,
    ( spl10_10
  <=> ! [X0: program] :
        ( ~ halts2(sK6(X0),as_input(sK6(X0)))
        | ~ halts2(X0,as_input(sK6(X0)))
        | ~ outputs(X0,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

tff(f102,plain,
    ( ! [X1: program] : halts2(X1,as_input(X1))
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f101]) ).

tff(f101,plain,
    ( spl10_11
  <=> ! [X1: program] : halts2(X1,as_input(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

tff(f237,plain,
    ( ~ spl10_13
    | ~ spl10_14 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

tff(f236,plain,
    ( $false
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(subsumption_resolution,[],[f235,f114]) ).

tff(f114,plain,
    ( ! [X1: program] :
        ( ~ halts2(sK7,as_input(X1))
        | ~ halts2(X1,as_input(X1)) )
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f113]) ).

tff(f113,plain,
    ( spl10_14
  <=> ! [X1: program] :
        ( ~ halts2(sK7,as_input(X1))
        | ~ halts2(X1,as_input(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

tff(f235,plain,
    ( halts2(sK7,as_input(sK7))
    | ~ spl10_13 ),
    inference(factoring,[],[f110]) ).

tff(f110,plain,
    ( ! [X1: program] :
        ( halts2(sK7,as_input(X1))
        | halts2(X1,as_input(X1)) )
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f109]) ).

tff(f109,plain,
    ( spl10_13
  <=> ! [X1: program] :
        ( halts2(sK7,as_input(X1))
        | halts2(X1,as_input(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

tff(f234,plain,
    ( ~ spl10_9
    | ~ spl10_10
    | ~ spl10_19
    | ~ spl10_20
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

tff(f233,plain,
    ( $false
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_19
    | ~ spl10_20
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(subsumption_resolution,[],[f232,f147]) ).

tff(f232,plain,
    ( ~ outputs(sK9,good)
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_19
    | ~ spl10_20
    | ~ spl10_23 ),
    inference(subsumption_resolution,[],[f231,f214]) ).

tff(f231,plain,
    ( ~ halts2(sK9,as_input(sK6(sK9)))
    | ~ outputs(sK9,good)
    | ~ spl10_9
    | ~ spl10_10
    | ~ spl10_19
    | ~ spl10_20
    | ~ spl10_23 ),
    inference(resolution,[],[f230,f98]) ).

tff(f230,plain,
    ( halts2(sK6(sK9),as_input(sK6(sK9)))
    | ~ spl10_9
    | ~ spl10_19
    | ~ spl10_20
    | ~ spl10_23 ),
    inference(subsumption_resolution,[],[f229,f135]) ).

tff(f135,plain,
    ( outputs(sK9,bad)
    | ~ spl10_19 ),
    inference(avatar_component_clause,[],[f133]) ).

tff(f133,plain,
    ( spl10_19
  <=> outputs(sK9,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).

tff(f229,plain,
    ( halts2(sK6(sK9),as_input(sK6(sK9)))
    | ~ outputs(sK9,bad)
    | ~ spl10_9
    | ~ spl10_20
    | ~ spl10_23 ),
    inference(resolution,[],[f214,f94]) ).

tff(f94,plain,
    ( ! [X0: program] :
        ( ~ halts2(X0,as_input(sK6(X0)))
        | halts2(sK6(X0),as_input(sK6(X0)))
        | ~ outputs(X0,bad) )
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f93]) ).

tff(f93,plain,
    ( spl10_9
  <=> ! [X0: program] :
        ( ~ outputs(X0,bad)
        | halts2(sK6(X0),as_input(sK6(X0)))
        | ~ halts2(X0,as_input(sK6(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

tff(f210,plain,
    ( ~ spl10_20
    | ~ spl10_21 ),
    inference(avatar_contradiction_clause,[],[f209]) ).

tff(f209,plain,
    ( $false
    | ~ spl10_20
    | ~ spl10_21 ),
    inference(resolution,[],[f204,f143]) ).

tff(f143,plain,
    ( ! [X1: program] : ~ halts2(X1,as_input(X1))
    | ~ spl10_21 ),
    inference(avatar_component_clause,[],[f142]) ).

tff(f142,plain,
    ( spl10_21
  <=> ! [X1: program] : ~ halts2(X1,as_input(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).

tff(f204,plain,
    ( ! [X1: program] : halts2(sK9,as_input(X1))
    | ~ spl10_20
    | ~ spl10_21 ),
    inference(subsumption_resolution,[],[f139,f143]) ).

tff(f202,plain,
    ( ~ spl10_6
    | spl10_25 ),
    inference(avatar_contradiction_clause,[],[f201]) ).

tff(f201,plain,
    ( $false
    | ~ spl10_6
    | spl10_25 ),
    inference(subsumption_resolution,[],[f198,f82]) ).

tff(f82,plain,
    ( ! [X2: input,X1: program] : decides(algorithm_of(sK3),X1,X2)
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f81]) ).

tff(f81,plain,
    ( spl10_6
  <=> ! [X2: input,X1: program] : decides(algorithm_of(sK3),X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

tff(f198,plain,
    ( ! [X0: program,X1: input] : ~ decides(algorithm_of(sK3),X0,X1)
    | spl10_25 ),
    inference(resolution,[],[f171,f76]) ).

tff(f76,plain,
    ! [X2: input,X3: program,X0: program,X1: program,X4: input] :
      ( halts3(X0,X3,X4)
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(subsumption_resolution,[],[f40,f42]) ).

tff(f42,plain,
    ! [X2: input,X3: program,X0: program,X1: program,X4: input] :
      ( halts3(X0,X3,X4)
      | halts2(X3,X4)
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: program,X1: program,X2: input] :
      ( ! [X3: program,X4: input] :
          ( ( ( outputs(X0,bad)
              & halts3(X0,X3,X4) )
            | halts2(X3,X4) )
          & ( ( outputs(X0,good)
              & halts3(X0,X3,X4) )
            | ~ halts2(X3,X4) ) )
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X0: program,X1: program,X2: input] :
      ( decides(algorithm_of(X0),X1,X2)
     => ! [X3: program,X4: input] :
          ( ( ~ halts2(X3,X4)
           => ( outputs(X0,bad)
              & halts3(X0,X3,X4) ) )
          & ( halts2(X3,X4)
           => ( outputs(X0,good)
              & halts3(X0,X3,X4) ) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X3: program,X1: program,X2: input] :
      ( decides(algorithm_of(X3),X1,X2)
     => ! [X1: program,X2: input] :
          ( ( ~ halts2(X1,X2)
           => ( outputs(X3,bad)
              & halts3(X3,X1,X2) ) )
          & ( halts2(X1,X2)
           => ( outputs(X3,good)
              & halts3(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980',p2) ).

tff(f40,plain,
    ! [X2: input,X3: program,X0: program,X1: program,X4: input] :
      ( halts3(X0,X3,X4)
      | ~ halts2(X3,X4)
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f171,plain,
    ( ~ halts3(sK3,sK8(sK3),as_input(sK8(sK3)))
    | spl10_25 ),
    inference(avatar_component_clause,[],[f169]) ).

tff(f169,plain,
    ( spl10_25
  <=> halts3(sK3,sK8(sK3),as_input(sK8(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).

tff(f192,plain,
    ( ~ spl10_1
    | ~ spl10_3 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

tff(f191,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f71,f64]) ).

tff(f64,plain,
    ( ! [X3: program,X4: input] : halts2(X3,X4)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f63]) ).

tff(f63,plain,
    ( spl10_1
  <=> ! [X4: input,X3: program] : halts2(X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

tff(f71,plain,
    ( ! [X3: program,X4: input] : ~ halts2(X3,X4)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f70]) ).

tff(f70,plain,
    ( spl10_3
  <=> ! [X4: input,X3: program] : ~ halts2(X3,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

tff(f190,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f189]) ).

tff(f189,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(resolution,[],[f188,f160]) ).

tff(f160,plain,
    ( outputs(sK3,good)
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(resolution,[],[f74,f82]) ).

tff(f74,plain,
    ( ! [X2: input,X0: program,X1: program] :
        ( ~ decides(algorithm_of(X0),X1,X2)
        | outputs(X0,good) )
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f73]) ).

tff(f73,plain,
    ( spl10_4
  <=> ! [X2: input,X0: program,X1: program] :
        ( outputs(X0,good)
        | ~ decides(algorithm_of(X0),X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

tff(f188,plain,
    ( ! [X0: program] : ~ outputs(X0,good)
    | ~ spl10_1
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f187,f64]) ).

tff(f187,plain,
    ( ! [X0: program] :
        ( ~ halts2(X0,as_input(sK6(X0)))
        | ~ outputs(X0,good) )
    | ~ spl10_1
    | ~ spl10_10 ),
    inference(resolution,[],[f64,f98]) ).

tff(f185,plain,
    ( ~ spl10_2
    | ~ spl10_6
    | spl10_26 ),
    inference(avatar_contradiction_clause,[],[f184]) ).

tff(f184,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_6
    | spl10_26 ),
    inference(subsumption_resolution,[],[f183,f82]) ).

tff(f183,plain,
    ( ! [X0: program,X1: input] : ~ decides(algorithm_of(sK3),X0,X1)
    | ~ spl10_2
    | spl10_26 ),
    inference(resolution,[],[f176,f67]) ).

tff(f67,plain,
    ( ! [X2: input,X0: program,X1: program] :
        ( outputs(X0,bad)
        | ~ decides(algorithm_of(X0),X1,X2) )
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f66]) ).

tff(f66,plain,
    ( spl10_2
  <=> ! [X2: input,X0: program,X1: program] :
        ( outputs(X0,bad)
        | ~ decides(algorithm_of(X0),X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

tff(f176,plain,
    ( ~ outputs(sK3,bad)
    | spl10_26 ),
    inference(avatar_component_clause,[],[f174]) ).

tff(f174,plain,
    ( spl10_26
  <=> outputs(sK3,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).

tff(f177,plain,
    ( ~ spl10_25
    | ~ spl10_26
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_16 ),
    inference(avatar_split_clause,[],[f162,f121,f81,f73,f174,f169]) ).

tff(f121,plain,
    ( spl10_16
  <=> ! [X0: program] :
        ( ~ outputs(X0,bad)
        | ~ outputs(X0,good)
        | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).

tff(f162,plain,
    ( ~ outputs(sK3,bad)
    | ~ halts3(sK3,sK8(sK3),as_input(sK8(sK3)))
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_16 ),
    inference(resolution,[],[f160,f122]) ).

tff(f122,plain,
    ( ! [X0: program] :
        ( ~ outputs(X0,good)
        | ~ outputs(X0,bad)
        | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
    | ~ spl10_16 ),
    inference(avatar_component_clause,[],[f121]) ).

tff(f159,plain,
    ( ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f158]) ).

tff(f158,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_6
    | ~ spl10_17 ),
    inference(resolution,[],[f157,f82]) ).

tff(f157,plain,
    ( ! [X2: input,X0: program,X1: program] : ~ decides(algorithm_of(X0),X1,X2)
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_17 ),
    inference(subsumption_resolution,[],[f156,f76]) ).

tff(f156,plain,
    ( ! [X2: input,X0: program,X1: program] :
        ( ~ halts3(X0,sK8(X0),as_input(sK8(X0)))
        | ~ decides(algorithm_of(X0),X1,X2) )
    | ~ spl10_2
    | ~ spl10_3
    | ~ spl10_17 ),
    inference(resolution,[],[f155,f67]) ).

tff(f155,plain,
    ( ! [X0: program] :
        ( ~ outputs(X0,bad)
        | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
    | ~ spl10_3
    | ~ spl10_17 ),
    inference(resolution,[],[f126,f71]) ).

tff(f126,plain,
    ( ! [X0: program] :
        ( halts2(sK8(X0),as_input(sK8(X0)))
        | ~ outputs(X0,bad)
        | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
    | ~ spl10_17 ),
    inference(avatar_component_clause,[],[f125]) ).

tff(f125,plain,
    ( spl10_17
  <=> ! [X0: program] :
        ( ~ outputs(X0,bad)
        | halts2(sK8(X0),as_input(sK8(X0)))
        | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).

tff(f154,plain,
    ~ spl10_5,
    inference(avatar_contradiction_clause,[],[f153]) ).

tff(f153,plain,
    ( $false
    | ~ spl10_5 ),
    inference(resolution,[],[f79,f39]) ).

tff(f39,plain,
    ! [X2: input,X1: program] : decides(sK2,X1,X2),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X1: program,X2: input] : decides(sK2,X1,X2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f8,f21]) ).

tff(f21,plain,
    ( ? [X0: algorithm] :
      ! [X1: program,X2: input] : decides(X0,X1,X2)
   => ! [X2: input,X1: program] : decides(sK2,X1,X2) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ? [X0: algorithm] :
    ! [X1: program,X2: input] : decides(X0,X1,X2),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ~ ~ ? [X0: algorithm] :
        ! [X1: program,X2: input] : decides(X0,X1,X2),
    inference(rectify,[],[f6]) ).

tff(f6,negated_conjecture,
    ~ ~ ? [X6: algorithm] :
        ! [X7: program,X8: input] : decides(X6,X7,X8),
    inference(negated_conjecture,[],[f5]) ).

tff(f5,conjecture,
    ~ ? [X6: algorithm] :
      ! [X7: program,X8: input] : decides(X6,X7,X8),
    file('/export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980',prove_this) ).

tff(f79,plain,
    ( ! [X3: algorithm] : ~ decides(X3,sK4(X3),sK5(X3))
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f78]) ).

tff(f78,plain,
    ( spl10_5
  <=> ! [X3: algorithm] : ~ decides(X3,sK4(X3),sK5(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

tff(f152,plain,
    ( spl10_15
    | spl10_23 ),
    inference(avatar_split_clause,[],[f56,f150,f117]) ).

tff(f117,plain,
    ( spl10_15
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).

tff(f56,plain,
    ! [X1: program] :
      ( halts2(sK9,as_input(X1))
      | ~ halts2(X1,as_input(X1))
      | sP1 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ( ! [X1: program] :
        ( ( ( outputs(sK9,bad)
            & halts2(sK9,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ( outputs(sK9,good)
            & halts2(sK9,as_input(X1)) )
          | ~ halts2(X1,as_input(X1)) ) )
    | sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f36,f37]) ).

tff(f37,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ( outputs(X0,bad)
            & halts2(X0,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ( outputs(X0,good)
            & halts2(X0,as_input(X1)) )
          | ~ halts2(X1,as_input(X1)) ) )
   => ! [X1: program] :
        ( ( ( outputs(sK9,bad)
            & halts2(sK9,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ( outputs(sK9,good)
            & halts2(sK9,as_input(X1)) )
          | ~ halts2(X1,as_input(X1)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f36,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ( outputs(X0,bad)
            & halts2(X0,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ( outputs(X0,good)
            & halts2(X0,as_input(X1)) )
          | ~ halts2(X1,as_input(X1)) ) )
    | sP1 ),
    inference(rectify,[],[f20]) ).

tff(f20,plain,
    ( ? [X2: program] :
      ! [X3: program] :
        ( ( ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) )
          | halts2(X3,as_input(X3)) )
        & ( ( outputs(X2,good)
            & halts2(X2,as_input(X3)) )
          | ~ halts2(X3,as_input(X3)) ) )
    | sP1 ),
    inference(definition_folding,[],[f16,f19]) ).

tff(f19,plain,
    ( ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,X1,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,X1,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f16,plain,
    ( ? [X2: program] :
      ! [X3: program] :
        ( ( ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) )
          | halts2(X3,as_input(X3)) )
        & ( ( outputs(X2,good)
            & halts2(X2,as_input(X3)) )
          | ~ halts2(X3,as_input(X3)) ) )
    | ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,X1,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,X1,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X0,bad)
            & halts3(X0,X1,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ( outputs(X0,good)
            & halts3(X0,X1,as_input(X1)) ) ) )
   => ? [X2: program] :
      ! [X3: program] :
        ( ( ~ halts2(X3,as_input(X3))
         => ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) ) )
        & ( halts2(X3,as_input(X3))
         => ( outputs(X2,good)
            & halts2(X2,as_input(X3)) ) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ( ? [X3: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X3,bad)
            & halts3(X3,X1,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ( outputs(X3,good)
            & halts3(X3,X1,as_input(X1)) ) ) )
   => ? [X4: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X4,bad)
            & halts2(X4,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ( outputs(X4,good)
            & halts2(X4,as_input(X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980',p3) ).

tff(f148,plain,
    ( spl10_15
    | spl10_21
    | spl10_22 ),
    inference(avatar_split_clause,[],[f57,f145,f142,f117]) ).

tff(f57,plain,
    ! [X1: program] :
      ( outputs(sK9,good)
      | ~ halts2(X1,as_input(X1))
      | sP1 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f140,plain,
    ( spl10_15
    | spl10_20 ),
    inference(avatar_split_clause,[],[f58,f138,f117]) ).

tff(f58,plain,
    ! [X1: program] :
      ( halts2(sK9,as_input(X1))
      | halts2(X1,as_input(X1))
      | sP1 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f136,plain,
    ( spl10_15
    | spl10_11
    | spl10_19 ),
    inference(avatar_split_clause,[],[f59,f133,f101,f117]) ).

tff(f59,plain,
    ! [X1: program] :
      ( outputs(sK9,bad)
      | halts2(X1,as_input(X1))
      | sP1 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f127,plain,
    ( ~ spl10_15
    | spl10_17 ),
    inference(avatar_split_clause,[],[f54,f125,f117]) ).

tff(f54,plain,
    ! [X0: program] :
      ( ~ outputs(X0,bad)
      | ~ halts3(X0,sK8(X0),as_input(sK8(X0)))
      | halts2(sK8(X0),as_input(sK8(X0)))
      | ~ sP1 ),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ( ! [X0: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
          & ~ halts2(sK8(X0),as_input(sK8(X0))) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
          & halts2(sK8(X0),as_input(sK8(X0))) ) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f33,f34]) ).

tff(f34,plain,
    ! [X0: program] :
      ( ? [X1: program] :
          ( ( ( ~ outputs(X0,bad)
              | ~ halts3(X0,X1,as_input(X1)) )
            & ~ halts2(X1,as_input(X1)) )
          | ( ( ~ outputs(X0,good)
              | ~ halts3(X0,X1,as_input(X1)) )
            & halts2(X1,as_input(X1)) ) )
     => ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
          & ~ halts2(sK8(X0),as_input(sK8(X0))) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,sK8(X0),as_input(sK8(X0))) )
          & halts2(sK8(X0),as_input(sK8(X0))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f33,plain,
    ( ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts3(X0,X1,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts3(X0,X1,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f19]) ).

tff(f123,plain,
    ( ~ spl10_15
    | spl10_16 ),
    inference(avatar_split_clause,[],[f60,f121,f117]) ).

tff(f60,plain,
    ! [X0: program] :
      ( ~ outputs(X0,bad)
      | ~ halts3(X0,sK8(X0),as_input(sK8(X0)))
      | ~ outputs(X0,good)
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f55]) ).

tff(f55,plain,
    ! [X0: program] :
      ( ~ outputs(X0,bad)
      | ~ halts3(X0,sK8(X0),as_input(sK8(X0)))
      | ~ outputs(X0,good)
      | ~ halts3(X0,sK8(X0),as_input(sK8(X0)))
      | ~ sP1 ),
    inference(cnf_transformation,[],[f35]) ).

tff(f115,plain,
    ( spl10_7
    | spl10_14 ),
    inference(avatar_split_clause,[],[f49,f113,f85]) ).

tff(f85,plain,
    ( spl10_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

tff(f49,plain,
    ! [X1: program] :
      ( ~ halts2(sK7,as_input(X1))
      | ~ halts2(X1,as_input(X1))
      | sP0 ),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ( ! [X1: program] :
        ( ( ( outputs(sK7,bad)
            & halts2(sK7,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ~ halts2(sK7,as_input(X1))
          | ~ halts2(X1,as_input(X1)) ) )
    | sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f30,f31]) ).

tff(f31,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ( outputs(X0,bad)
            & halts2(X0,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ~ halts2(X0,as_input(X1))
          | ~ halts2(X1,as_input(X1)) ) )
   => ! [X1: program] :
        ( ( ( outputs(sK7,bad)
            & halts2(sK7,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ~ halts2(sK7,as_input(X1))
          | ~ halts2(X1,as_input(X1)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f30,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ( outputs(X0,bad)
            & halts2(X0,as_input(X1)) )
          | halts2(X1,as_input(X1)) )
        & ( ~ halts2(X0,as_input(X1))
          | ~ halts2(X1,as_input(X1)) ) )
    | sP0 ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ( ? [X2: program] :
      ! [X3: program] :
        ( ( ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) )
          | halts2(X3,as_input(X3)) )
        & ( ~ halts2(X2,as_input(X3))
          | ~ halts2(X3,as_input(X3)) ) )
    | sP0 ),
    inference(definition_folding,[],[f15,f17]) ).

tff(f17,plain,
    ( ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f15,plain,
    ( ? [X2: program] :
      ! [X3: program] :
        ( ( ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) )
          | halts2(X3,as_input(X3)) )
        & ( ~ halts2(X2,as_input(X3))
          | ~ halts2(X3,as_input(X3)) ) )
    | ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) ) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ( ? [X0: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X0,bad)
            & halts2(X0,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ( outputs(X0,good)
            & halts2(X0,as_input(X1)) ) ) )
   => ? [X2: program] :
      ! [X3: program] :
        ( ( ~ halts2(X3,as_input(X3))
         => ( outputs(X2,bad)
            & halts2(X2,as_input(X3)) ) )
        & ( halts2(X3,as_input(X3))
         => ~ halts2(X2,as_input(X3)) ) ) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ( ? [X4: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X4,bad)
            & halts2(X4,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ( outputs(X4,good)
            & halts2(X4,as_input(X1)) ) ) )
   => ? [X5: program] :
      ! [X1: program] :
        ( ( ~ halts2(X1,as_input(X1))
         => ( outputs(X5,bad)
            & halts2(X5,as_input(X1)) ) )
        & ( halts2(X1,as_input(X1))
         => ~ halts2(X5,as_input(X1)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980',p4) ).

tff(f111,plain,
    ( spl10_7
    | spl10_13 ),
    inference(avatar_split_clause,[],[f50,f109,f85]) ).

tff(f50,plain,
    ! [X1: program] :
      ( halts2(sK7,as_input(X1))
      | halts2(X1,as_input(X1))
      | sP0 ),
    inference(cnf_transformation,[],[f32]) ).

tff(f99,plain,
    ( ~ spl10_7
    | spl10_10 ),
    inference(avatar_split_clause,[],[f46,f97,f85]) ).

tff(f46,plain,
    ! [X0: program] :
      ( ~ halts2(sK6(X0),as_input(sK6(X0)))
      | ~ outputs(X0,good)
      | ~ halts2(X0,as_input(sK6(X0)))
      | ~ sP0 ),
    inference(cnf_transformation,[],[f29]) ).

tff(f29,plain,
    ( ! [X0: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,as_input(sK6(X0))) )
          & ~ halts2(sK6(X0),as_input(sK6(X0))) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,as_input(sK6(X0))) )
          & halts2(sK6(X0),as_input(sK6(X0))) ) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f27,f28]) ).

tff(f28,plain,
    ! [X0: program] :
      ( ? [X1: program] :
          ( ( ( ~ outputs(X0,bad)
              | ~ halts2(X0,as_input(X1)) )
            & ~ halts2(X1,as_input(X1)) )
          | ( ( ~ outputs(X0,good)
              | ~ halts2(X0,as_input(X1)) )
            & halts2(X1,as_input(X1)) ) )
     => ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,as_input(sK6(X0))) )
          & ~ halts2(sK6(X0),as_input(sK6(X0))) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,as_input(sK6(X0))) )
          & halts2(sK6(X0),as_input(sK6(X0))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f27,plain,
    ( ! [X0: program] :
      ? [X1: program] :
        ( ( ( ~ outputs(X0,bad)
            | ~ halts2(X0,as_input(X1)) )
          & ~ halts2(X1,as_input(X1)) )
        | ( ( ~ outputs(X0,good)
            | ~ halts2(X0,as_input(X1)) )
          & halts2(X1,as_input(X1)) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f17]) ).

tff(f95,plain,
    ( ~ spl10_7
    | spl10_9 ),
    inference(avatar_split_clause,[],[f47,f93,f85]) ).

tff(f47,plain,
    ! [X0: program] :
      ( ~ outputs(X0,bad)
      | ~ halts2(X0,as_input(sK6(X0)))
      | halts2(sK6(X0),as_input(sK6(X0)))
      | ~ sP0 ),
    inference(cnf_transformation,[],[f29]) ).

tff(f83,plain,
    ( spl10_5
    | spl10_6 ),
    inference(avatar_split_clause,[],[f44,f81,f78]) ).

tff(f44,plain,
    ! [X2: input,X3: algorithm,X1: program] :
      ( decides(algorithm_of(sK3),X1,X2)
      | ~ decides(X3,sK4(X3),sK5(X3)) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    ( ! [X1: program,X2: input] : decides(algorithm_of(sK3),X1,X2)
    | ! [X3: algorithm] : ~ decides(X3,sK4(X3),sK5(X3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f23,f25,f24]) ).

tff(f24,plain,
    ( ? [X0: program] :
      ! [X1: program,X2: input] : decides(algorithm_of(X0),X1,X2)
   => ! [X2: input,X1: program] : decides(algorithm_of(sK3),X1,X2) ),
    introduced(choice_axiom,[]) ).

tff(f25,plain,
    ! [X3: algorithm] :
      ( ? [X4: program,X5: input] : ~ decides(X3,X4,X5)
     => ~ decides(X3,sK4(X3),sK5(X3)) ),
    introduced(choice_axiom,[]) ).

tff(f23,plain,
    ( ? [X0: program] :
      ! [X1: program,X2: input] : decides(algorithm_of(X0),X1,X2)
    | ! [X3: algorithm] :
      ? [X4: program,X5: input] : ~ decides(X3,X4,X5) ),
    inference(rectify,[],[f14]) ).

tff(f14,plain,
    ( ? [X3: program] :
      ! [X4: program,X5: input] : decides(algorithm_of(X3),X4,X5)
    | ! [X0: algorithm] :
      ? [X1: program,X2: input] : ~ decides(X0,X1,X2) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ? [X0: algorithm] :
      ! [X1: program,X2: input] : decides(X0,X1,X2)
   => ? [X3: program] :
      ! [X4: program,X5: input] : decides(algorithm_of(X3),X4,X5) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ( ? [X0: algorithm] :
      ! [X1: program,X2: input] : decides(X0,X1,X2)
   => ? [X3: program] :
      ! [X1: program,X2: input] : decides(algorithm_of(X3),X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980',p1) ).

tff(f75,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f41,f73,f70]) ).

tff(f41,plain,
    ! [X2: input,X3: program,X0: program,X1: program,X4: input] :
      ( outputs(X0,good)
      | ~ halts2(X3,X4)
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f68,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f43,f66,f63]) ).

tff(f43,plain,
    ! [X2: input,X3: program,X0: program,X1: program,X4: input] :
      ( outputs(X0,bad)
      | halts2(X3,X4)
      | ~ decides(algorithm_of(X0),X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : COM003_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 21:27:22 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a TF0_THM_NEQ_NAR problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.PD8sdIBYFx/Vampire---4.8_3980
% 0.65/0.81  % (4097)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)
% 0.65/0.81  % (4099)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)
% 0.65/0.81  % (4094)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)
% 0.65/0.81  % (4095)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)
% 0.65/0.81  % (4096)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81  % (4098)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)
% 0.65/0.81  % (4100)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)
% 0.65/0.81  % (4099)Refutation not found, incomplete strategy% (4099)------------------------------
% 0.65/0.81  % (4099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4099)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4099)Memory used [KB]: 943
% 0.65/0.81  % (4099)Time elapsed: 0.002 s
% 0.65/0.81  % (4099)Instructions burned: 2 (million)
% 0.65/0.81  % (4101)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)
% 0.65/0.81  % (4099)------------------------------
% 0.65/0.81  % (4099)------------------------------
% 0.65/0.81  % (4101)Refutation not found, incomplete strategy% (4101)------------------------------
% 0.65/0.81  % (4101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4101)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4101)Memory used [KB]: 943
% 0.65/0.81  % (4101)Time elapsed: 0.002 s
% 0.65/0.81  % (4101)Instructions burned: 2 (million)
% 0.65/0.81  % (4094)Refutation not found, incomplete strategy% (4094)------------------------------
% 0.65/0.81  % (4094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4094)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4094)Memory used [KB]: 950
% 0.65/0.81  % (4094)Time elapsed: 0.003 s
% 0.65/0.81  % (4094)Instructions burned: 2 (million)
% 0.65/0.81  % (4101)------------------------------
% 0.65/0.81  % (4101)------------------------------
% 0.65/0.81  % (4094)------------------------------
% 0.65/0.81  % (4094)------------------------------
% 0.65/0.81  % (4097)Refutation not found, incomplete strategy% (4097)------------------------------
% 0.65/0.81  % (4097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4097)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4097)Memory used [KB]: 943
% 0.65/0.81  % (4097)Time elapsed: 0.003 s
% 0.65/0.81  % (4097)Instructions burned: 2 (million)
% 0.65/0.81  % (4097)------------------------------
% 0.65/0.81  % (4097)------------------------------
% 0.65/0.81  % (4098)Refutation not found, incomplete strategy% (4098)------------------------------
% 0.65/0.81  % (4098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4098)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4098)Memory used [KB]: 1057
% 0.65/0.81  % (4098)Time elapsed: 0.004 s
% 0.65/0.81  % (4098)Instructions burned: 4 (million)
% 0.65/0.81  % (4098)------------------------------
% 0.65/0.81  % (4098)------------------------------
% 0.65/0.81  % (4100)Refutation not found, incomplete strategy% (4100)------------------------------
% 0.65/0.81  % (4100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4100)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4100)Memory used [KB]: 1064
% 0.65/0.81  % (4100)Time elapsed: 0.004 s
% 0.65/0.81  % (4100)Instructions burned: 6 (million)
% 0.65/0.81  % (4096)First to succeed.
% 0.65/0.81  % (4100)------------------------------
% 0.65/0.81  % (4100)------------------------------
% 0.65/0.81  % (4095)Also succeeded, but the first one will report.
% 0.65/0.81  % (4102)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)
% 0.65/0.81  % (4103)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)
% 0.65/0.81  % (4104)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)
% 0.65/0.81  % (4105)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)
% 0.65/0.81  % (4104)Refutation not found, incomplete strategy% (4104)------------------------------
% 0.65/0.81  % (4104)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (4104)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (4104)Memory used [KB]: 950
% 0.65/0.81  % (4104)Time elapsed: 0.002 s
% 0.65/0.81  % (4104)Instructions burned: 2 (million)
% 0.65/0.81  % (4106)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)
% 0.65/0.81  % (4104)------------------------------
% 0.65/0.81  % (4104)------------------------------
% 0.65/0.81  % (4096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4089"
% 0.65/0.82  % (4096)Refutation found. Thanks to Tanya!
% 0.65/0.82  % SZS status Theorem for Vampire---4
% 0.65/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82  % (4096)------------------------------
% 0.65/0.82  % (4096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (4096)Termination reason: Refutation
% 0.65/0.82  
% 0.65/0.82  % (4096)Memory used [KB]: 1113
% 0.65/0.82  % (4096)Time elapsed: 0.007 s
% 0.65/0.82  % (4096)Instructions burned: 10 (million)
% 0.65/0.82  % (4089)Success in time 0.482 s
% 0.65/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------