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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 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 : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:13:06 EDT 2024

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  223 (   2 unt;   0 def)
%            Number of atoms       :  908 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1297 ( 612   ~; 652   |;   0   &)
%                                         (  33 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   40 (  39 usr;  34 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-1 aty)
%            Number of variables   :  155 ( 155   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f476,plain,
    $false,
    inference(avatar_sat_refutation,[],[f58,f62,f66,f67,f74,f82,f86,f91,f99,f103,f111,f115,f123,f127,f128,f129,f130,f131,f143,f144,f145,f146,f147,f155,f159,f163,f179,f180,f181,f186,f187,f188,f224,f246,f269,f279,f281,f306,f355,f362,f368,f391,f397,f410,f430,f434,f440,f442,f452,f475]) ).

fof(f475,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_32
    | spl0_33 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_32
    | spl0_33 ),
    inference(subsumption_resolution,[],[f473,f241]) ).

fof(f241,plain,
    ( ~ program(f4(c1))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_32
  <=> program(f4(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f473,plain,
    ( program(f4(c1))
    | ~ spl0_2
    | ~ spl0_6
    | spl0_33 ),
    inference(subsumption_resolution,[],[f470,f57]) ).

fof(f57,plain,
    ( program(c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_2
  <=> program(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f470,plain,
    ( ~ program(c1)
    | program(f4(c1))
    | ~ spl0_6
    | spl0_33 ),
    inference(resolution,[],[f73,f244]) ).

fof(f244,plain,
    ( ~ outputs(c1,good)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_33
  <=> outputs(c1,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f73,plain,
    ( ! [X3] :
        ( outputs(X3,good)
        | ~ program(X3)
        | program(f4(X3)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_6
  <=> ! [X3] :
        ( outputs(X3,good)
        | ~ program(X3)
        | program(f4(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f452,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f448]) ).

fof(f448,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_41 ),
    inference(resolution,[],[f443,f382]) ).

fof(f382,plain,
    ( program(f5(c1))
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_41
  <=> program(f5(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f443,plain,
    ( ! [X1] : ~ program(X1)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f78,f70]) ).

fof(f70,plain,
    ( ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_5
  <=> ! [X2,X1] :
        ( ~ halts2(X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f78,plain,
    ( ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_7
  <=> ! [X2,X1] :
        ( halts2(X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f442,plain,
    ( ~ spl0_39
    | spl0_40
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f441,f381,f360,f125,f55,f377,f365]) ).

fof(f365,plain,
    ( spl0_39
  <=> outputs(c1,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f377,plain,
    ( spl0_40
  <=> halts2(f5(c1),f5(c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f125,plain,
    ( spl0_19
  <=> ! [X3] :
        ( ~ outputs(X3,bad)
        | ~ program(X3)
        | halts2(f5(X3),f5(X3))
        | ~ halts3(X3,f5(X3),f5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f360,plain,
    ( spl0_38
  <=> ! [X0,X1] :
        ( ~ program(X0)
        | halts3(c1,X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f441,plain,
    ( halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f374,f382]) ).

fof(f374,plain,
    ( ~ program(f5(c1))
    | halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f372,f57]) ).

fof(f372,plain,
    ( ~ program(f5(c1))
    | ~ program(c1)
    | halts2(f5(c1),f5(c1))
    | ~ outputs(c1,bad)
    | ~ spl0_19
    | ~ spl0_38 ),
    inference(resolution,[],[f361,f126]) ).

fof(f126,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ program(X3)
        | halts2(f5(X3),f5(X3))
        | ~ outputs(X3,bad) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f361,plain,
    ( ! [X0,X1] :
        ( halts3(c1,X0,X1)
        | ~ program(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f440,plain,
    ( ~ spl0_5
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f435,f382]) ).

fof(f435,plain,
    ( ~ program(f5(c1))
    | ~ spl0_5
    | ~ spl0_40 ),
    inference(resolution,[],[f70,f379]) ).

fof(f379,plain,
    ( halts2(f5(c1),f5(c1))
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f434,plain,
    ( ~ spl0_33
    | ~ spl0_41
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f433,f365,f360,f141,f55,f381,f243]) ).

fof(f141,plain,
    ( spl0_21
  <=> ! [X3] :
        ( ~ outputs(X3,bad)
        | ~ program(X3)
        | ~ halts3(X3,f5(X3),f5(X3))
        | ~ outputs(X3,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f433,plain,
    ( ~ program(f5(c1))
    | ~ outputs(c1,good)
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f385,f367]) ).

fof(f367,plain,
    ( outputs(c1,bad)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f385,plain,
    ( ~ program(f5(c1))
    | ~ outputs(c1,bad)
    | ~ outputs(c1,good)
    | ~ spl0_2
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f373,f57]) ).

fof(f373,plain,
    ( ~ program(f5(c1))
    | ~ program(c1)
    | ~ outputs(c1,bad)
    | ~ outputs(c1,good)
    | ~ spl0_21
    | ~ spl0_38 ),
    inference(resolution,[],[f361,f142]) ).

fof(f142,plain,
    ( ! [X3] :
        ( ~ halts3(X3,f5(X3),f5(X3))
        | ~ program(X3)
        | ~ outputs(X3,bad)
        | ~ outputs(X3,good) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f430,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f428,f260]) ).

fof(f260,plain,
    ( program(f6(c2))
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_35
  <=> program(f6(c2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f428,plain,
    ( ~ program(f6(c2))
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f427,f110]) ).

fof(f110,plain,
    ( outputs(c2,good)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl0_15
  <=> outputs(c2,good) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f427,plain,
    ( ~ outputs(c2,good)
    | ~ program(f6(c2))
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f426,f98]) ).

fof(f98,plain,
    ( program(c2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_12
  <=> program(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f426,plain,
    ( ~ program(c2)
    | ~ outputs(c2,good)
    | ~ program(f6(c2))
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(resolution,[],[f421,f215]) ).

fof(f215,plain,
    ( ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1) )
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f102,f114]) ).

fof(f114,plain,
    ( ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1)
        | halts2(X1,X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl0_16
  <=> ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f102,plain,
    ( ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_13
  <=> ! [X1] :
        ( halts2(c2,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f421,plain,
    ( ! [X0] :
        ( ~ halts2(X0,f6(X0))
        | ~ program(X0)
        | ~ outputs(X0,good) )
    | ~ spl0_17
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f420,f150]) ).

fof(f150,plain,
    ( ! [X4] :
        ( program(f6(X4))
        | ~ program(X4) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl0_22
  <=> ! [X4] :
        ( program(f6(X4))
        | ~ program(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f420,plain,
    ( ! [X0] :
        ( ~ program(f6(X0))
        | ~ program(X0)
        | ~ halts2(X0,f6(X0))
        | ~ outputs(X0,good) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(resolution,[],[f118,f178]) ).

fof(f178,plain,
    ( ! [X4] :
        ( ~ halts2(f6(X4),f6(X4))
        | ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl0_28
  <=> ! [X4] :
        ( ~ halts2(f6(X4),f6(X4))
        | ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f118,plain,
    ( ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl0_17
  <=> ! [X1] :
        ( halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f410,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f409,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f407,f57]) ).

fof(f407,plain,
    ( ~ program(c1)
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(resolution,[],[f406,f245]) ).

fof(f245,plain,
    ( outputs(c1,good)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f406,plain,
    ( ! [X0] :
        ( ~ outputs(X0,good)
        | ~ program(X0) )
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f405,f78]) ).

fof(f405,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ halts2(X0,f6(X0))
        | ~ outputs(X0,good) )
    | ~ spl0_7
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f402,f150]) ).

fof(f402,plain,
    ( ! [X0] :
        ( ~ program(f6(X0))
        | ~ program(X0)
        | ~ halts2(X0,f6(X0))
        | ~ outputs(X0,good) )
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(resolution,[],[f78,f178]) ).

fof(f397,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f395,f49]) ).

fof(f49,axiom,
    algorithm(c4),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',a_deciding_algorithm) ).

fof(f395,plain,
    ( ~ algorithm(c4)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f394,f53]) ).

fof(f53,plain,
    ( ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_1
  <=> ! [X0] :
        ( program(f2(X0))
        | ~ algorithm(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f394,plain,
    ( ~ program(f2(c4))
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f393,f49]) ).

fof(f393,plain,
    ( ~ algorithm(c4)
    | ~ program(f2(c4))
    | ~ spl0_4 ),
    inference(resolution,[],[f65,f50]) ).

fof(f50,axiom,
    ! [X6,X5] :
      ( decides(c4,X5,X6)
      | ~ program(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',prove_the_algorithm_doesnt_exist) ).

fof(f65,plain,
    ( ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ decides(X0,f2(X0),f1(X0))
        | ~ algorithm(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f391,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_41 ),
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | spl0_41 ),
    inference(subsumption_resolution,[],[f389,f57]) ).

fof(f389,plain,
    ( ~ program(c1)
    | ~ spl0_11
    | spl0_41 ),
    inference(resolution,[],[f383,f94]) ).

fof(f94,plain,
    ( ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_11
  <=> ! [X3] :
        ( program(f5(X3))
        | ~ program(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f383,plain,
    ( ~ program(f5(c1))
    | spl0_41 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f368,plain,
    ( ~ spl0_32
    | spl0_39
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f363,f89,f60,f55,f365,f239]) ).

fof(f60,plain,
    ( spl0_3
  <=> ! [X2,X1] :
        ( decides(c1,X1,X2)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f89,plain,
    ( spl0_10
  <=> ! [X3] :
        ( outputs(X3,bad)
        | ~ program(X3)
        | ~ decides(X3,f4(X3),f3(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f363,plain,
    ( outputs(c1,bad)
    | ~ program(f4(c1))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f248,f57]) ).

fof(f248,plain,
    ( ~ program(c1)
    | outputs(c1,bad)
    | ~ program(f4(c1))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f90,f61]) ).

fof(f61,plain,
    ( ! [X2,X1] :
        ( decides(c1,X1,X2)
        | ~ program(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f90,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,bad) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f362,plain,
    ( ~ spl0_32
    | spl0_38
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f358,f60,f55,f360,f239]) ).

fof(f358,plain,
    ( ! [X0,X1] :
        ( ~ program(X0)
        | halts3(c1,X0,X1)
        | ~ program(f4(c1)) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f293,f57]) ).

fof(f293,plain,
    ( ! [X0,X1] :
        ( ~ program(X0)
        | halts3(c1,X0,X1)
        | ~ program(c1)
        | ~ program(f4(c1)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f87,f61]) ).

fof(f87,plain,
    ! [X2,X3,X1] :
      ( ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X1)
      | halts3(X3,X1,X2)
      | ~ program(X3) ),
    inference(subsumption_resolution,[],[f11,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_5) ).

fof(f11,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_7) ).

fof(f355,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19
    | spl0_32 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19
    | spl0_32 ),
    inference(subsumption_resolution,[],[f353,f57]) ).

fof(f353,plain,
    ( ~ program(c1)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19
    | spl0_32 ),
    inference(resolution,[],[f352,f241]) ).

fof(f352,plain,
    ( ! [X0] :
        ( program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f351,f94]) ).

fof(f351,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f350,f81]) ).

fof(f81,plain,
    ( ! [X3] :
        ( outputs(X3,bad)
        | ~ program(X3)
        | program(f4(X3)) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_8
  <=> ! [X3] :
        ( outputs(X3,bad)
        | ~ program(X3)
        | program(f4(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ outputs(X0,bad)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f348,f70]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | halts2(f5(X0),f5(X0))
        | ~ outputs(X0,bad)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f347,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | halts2(f5(X0),f5(X0))
        | ~ outputs(X0,bad)
        | ~ program(f5(X0))
        | program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_19 ),
    inference(resolution,[],[f126,f75]) ).

fof(f75,plain,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | ~ program(X1)
      | program(f4(X3))
      | ~ program(X3) ),
    inference(subsumption_resolution,[],[f7,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | program(f4(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_1) ).

fof(f7,axiom,
    ! [X2,X3,X1] :
      ( halts3(X3,X1,X2)
      | halts2(X1,X2)
      | ~ program(X1)
      | program(f4(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_3) ).

fof(f306,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_21
    | spl0_32 ),
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_21
    | spl0_32 ),
    inference(subsumption_resolution,[],[f304,f57]) ).

fof(f304,plain,
    ( ~ program(c1)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_21
    | spl0_32 ),
    inference(resolution,[],[f303,f241]) ).

fof(f303,plain,
    ( ! [X0] :
        ( program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f302,f94]) ).

fof(f302,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f301,f73]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ outputs(X0,good)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f296,f81]) ).

fof(f296,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ outputs(X0,bad)
        | ~ outputs(X0,good)
        | ~ program(f5(X0))
        | program(f4(X0)) )
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f295,plain,
    ( ! [X0] :
        ( ~ program(X0)
        | ~ outputs(X0,bad)
        | ~ outputs(X0,good)
        | ~ program(f5(X0))
        | program(f4(X0))
        | ~ program(X0) )
    | ~ spl0_21 ),
    inference(resolution,[],[f142,f75]) ).

fof(f281,plain,
    ( ~ spl0_15
    | ~ spl0_18
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f280,f259,f184,f113,f101,f96,f120,f108]) ).

fof(f120,plain,
    ( spl0_18
  <=> outputs(c2,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f184,plain,
    ( spl0_29
  <=> ! [X4] :
        ( ~ outputs(X4,bad)
        | ~ program(X4)
        | ~ halts2(X4,f6(X4))
        | ~ outputs(X4,good) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f280,plain,
    ( ~ outputs(c2,bad)
    | ~ outputs(c2,good)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f263,f260]) ).

fof(f263,plain,
    ( ~ outputs(c2,bad)
    | ~ outputs(c2,good)
    | ~ program(f6(c2))
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f250,f98]) ).

fof(f250,plain,
    ( ~ program(c2)
    | ~ outputs(c2,bad)
    | ~ outputs(c2,good)
    | ~ program(f6(c2))
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_29 ),
    inference(resolution,[],[f185,f215]) ).

fof(f185,plain,
    ( ! [X4] :
        ( ~ halts2(X4,f6(X4))
        | ~ program(X4)
        | ~ outputs(X4,bad)
        | ~ outputs(X4,good) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f279,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f276,f98]) ).

fof(f276,plain,
    ( ~ program(c2)
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f275,plain,
    ( ~ program(c2)
    | ~ program(c2)
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f106,f215]) ).

fof(f106,plain,
    ( ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl0_14
  <=> ! [X1] :
        ( ~ halts2(X1,X1)
        | ~ program(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f269,plain,
    ( ~ spl0_12
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_22
    | spl0_35 ),
    inference(subsumption_resolution,[],[f267,f98]) ).

fof(f267,plain,
    ( ~ program(c2)
    | ~ spl0_22
    | spl0_35 ),
    inference(resolution,[],[f261,f150]) ).

fof(f261,plain,
    ( ~ program(f6(c2))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f246,plain,
    ( ~ spl0_32
    | spl0_33
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f237,f84,f60,f55,f243,f239]) ).

fof(f84,plain,
    ( spl0_9
  <=> ! [X3] :
        ( outputs(X3,good)
        | ~ program(X3)
        | ~ decides(X3,f4(X3),f3(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f237,plain,
    ( outputs(c1,good)
    | ~ program(f4(c1))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f226,f57]) ).

fof(f226,plain,
    ( ~ program(c1)
    | outputs(c1,good)
    | ~ program(f4(c1))
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f85,f61]) ).

fof(f85,plain,
    ( ! [X3] :
        ( ~ decides(X3,f4(X3),f3(X3))
        | ~ program(X3)
        | outputs(X3,good) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f224,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f223]) ).

fof(f223,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f222,f220]) ).

fof(f220,plain,
    ( halts2(c3,c3)
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f218,f154]) ).

fof(f154,plain,
    ( program(c3)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl0_23
  <=> program(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f218,plain,
    ( halts2(c3,c3)
    | ~ program(c3)
    | ~ spl0_25 ),
    inference(factoring,[],[f162]) ).

fof(f162,plain,
    ( ! [X1] :
        ( halts2(c3,X1)
        | ~ program(X1)
        | halts2(X1,X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl0_25
  <=> ! [X1] :
        ( halts2(c3,X1)
        | ~ program(X1)
        | halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f222,plain,
    ( ~ halts2(c3,c3)
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f221,f154]) ).

fof(f221,plain,
    ( ~ program(c3)
    | ~ halts2(c3,c3)
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(resolution,[],[f220,f158]) ).

fof(f158,plain,
    ( ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl0_24
  <=> ! [X1] :
        ( ~ halts2(c3,X1)
        | ~ program(X1)
        | ~ halts2(X1,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f188,plain,
    ( spl0_29
    | spl0_25 ),
    inference(avatar_split_clause,[],[f47,f161,f184]) ).

fof(f47,axiom,
    ! [X1,X4] :
      ( halts2(c3,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X4,bad)
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_15) ).

fof(f187,plain,
    ( spl0_29
    | spl0_24 ),
    inference(avatar_split_clause,[],[f46,f157,f184]) ).

fof(f46,axiom,
    ! [X1,X4] :
      ( ~ halts2(c3,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X4,bad)
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_14) ).

fof(f186,plain,
    ( spl0_29
    | spl0_23 ),
    inference(avatar_split_clause,[],[f45,f152,f184]) ).

fof(f45,axiom,
    ! [X4] :
      ( program(c3)
      | ~ outputs(X4,bad)
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_13) ).

fof(f181,plain,
    ( spl0_28
    | spl0_25 ),
    inference(avatar_split_clause,[],[f43,f161,f177]) ).

fof(f43,axiom,
    ! [X1,X4] :
      ( halts2(c3,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ halts2(f6(X4),f6(X4))
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_11) ).

fof(f180,plain,
    ( spl0_28
    | spl0_24 ),
    inference(avatar_split_clause,[],[f42,f157,f177]) ).

fof(f42,axiom,
    ! [X1,X4] :
      ( ~ halts2(c3,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ halts2(f6(X4),f6(X4))
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_10) ).

fof(f179,plain,
    ( spl0_28
    | spl0_23 ),
    inference(avatar_split_clause,[],[f41,f152,f177]) ).

fof(f41,axiom,
    ! [X4] :
      ( program(c3)
      | ~ halts2(f6(X4),f6(X4))
      | ~ outputs(X4,good)
      | ~ halts2(X4,f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_9) ).

fof(f163,plain,
    ( spl0_22
    | spl0_25 ),
    inference(avatar_split_clause,[],[f35,f161,f149]) ).

fof(f35,axiom,
    ! [X1,X4] :
      ( halts2(c3,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | program(f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_3) ).

fof(f159,plain,
    ( spl0_22
    | spl0_24 ),
    inference(avatar_split_clause,[],[f34,f157,f149]) ).

fof(f34,axiom,
    ! [X1,X4] :
      ( ~ halts2(c3,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | program(f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_2) ).

fof(f155,plain,
    ( spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f33,f152,f149]) ).

fof(f33,axiom,
    ! [X4] :
      ( program(c3)
      | program(f6(X4))
      | ~ program(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_4_1) ).

fof(f147,plain,
    ( spl0_21
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f32,f120,f117,f141]) ).

fof(f32,axiom,
    ! [X3,X1] :
      ( outputs(c2,bad)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_20) ).

fof(f146,plain,
    ( spl0_21
    | spl0_16 ),
    inference(avatar_split_clause,[],[f31,f113,f141]) ).

fof(f31,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_19) ).

fof(f145,plain,
    ( spl0_21
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f30,f108,f105,f141]) ).

fof(f30,axiom,
    ! [X3,X1] :
      ( outputs(c2,good)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_18) ).

fof(f144,plain,
    ( spl0_21
    | spl0_13 ),
    inference(avatar_split_clause,[],[f29,f101,f141]) ).

fof(f29,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_17) ).

fof(f143,plain,
    ( spl0_21
    | spl0_12 ),
    inference(avatar_split_clause,[],[f28,f96,f141]) ).

fof(f28,axiom,
    ! [X3] :
      ( program(c2)
      | ~ outputs(X3,bad)
      | ~ outputs(X3,good)
      | ~ halts3(X3,f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_16) ).

fof(f131,plain,
    ( spl0_19
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f22,f120,f117,f125]) ).

fof(f22,axiom,
    ! [X3,X1] :
      ( outputs(c2,bad)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_10) ).

fof(f130,plain,
    ( spl0_19
    | spl0_16 ),
    inference(avatar_split_clause,[],[f21,f113,f125]) ).

fof(f21,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_9) ).

fof(f129,plain,
    ( spl0_19
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f20,f108,f105,f125]) ).

fof(f20,axiom,
    ! [X3,X1] :
      ( outputs(c2,good)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_8) ).

fof(f128,plain,
    ( spl0_19
    | spl0_13 ),
    inference(avatar_split_clause,[],[f19,f101,f125]) ).

fof(f19,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_7) ).

fof(f127,plain,
    ( spl0_19
    | spl0_12 ),
    inference(avatar_split_clause,[],[f18,f96,f125]) ).

fof(f18,axiom,
    ! [X3] :
      ( program(c2)
      | ~ outputs(X3,bad)
      | ~ halts3(X3,f5(X3),f5(X3))
      | halts2(f5(X3),f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_6) ).

fof(f123,plain,
    ( spl0_11
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f17,f120,f117,f93]) ).

fof(f17,axiom,
    ! [X3,X1] :
      ( outputs(c2,bad)
      | halts2(X1,X1)
      | ~ program(X1)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_5) ).

fof(f115,plain,
    ( spl0_11
    | spl0_16 ),
    inference(avatar_split_clause,[],[f16,f113,f93]) ).

fof(f16,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | halts2(X1,X1)
      | ~ program(X1)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_4) ).

fof(f111,plain,
    ( spl0_11
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f15,f108,f105,f93]) ).

fof(f15,axiom,
    ! [X3,X1] :
      ( outputs(c2,good)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_3) ).

fof(f103,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f14,f101,f93]) ).

fof(f14,axiom,
    ! [X3,X1] :
      ( halts2(c2,X1)
      | ~ halts2(X1,X1)
      | ~ program(X1)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_2) ).

fof(f99,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f13,f96,f93]) ).

fof(f13,axiom,
    ! [X3] :
      ( program(c2)
      | program(f5(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_3_1) ).

fof(f91,plain,
    ( spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f12,f89,f77]) ).

fof(f12,axiom,
    ! [X2,X3,X1] :
      ( outputs(X3,bad)
      | halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_8) ).

fof(f86,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f84,f69]) ).

fof(f10,axiom,
    ! [X2,X3,X1] :
      ( outputs(X3,good)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | ~ decides(X3,f4(X3),f3(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_6) ).

fof(f82,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f80,f77]) ).

fof(f8,axiom,
    ! [X2,X3,X1] :
      ( outputs(X3,bad)
      | halts2(X1,X2)
      | ~ program(X1)
      | program(f4(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_4) ).

fof(f74,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f6,f72,f69]) ).

fof(f6,axiom,
    ! [X2,X3,X1] :
      ( outputs(X3,good)
      | ~ halts2(X1,X2)
      | ~ program(X1)
      | program(f4(X3))
      | ~ program(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_2_2) ).

fof(f67,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f4,f60,f64]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( decides(c1,X1,X2)
      | ~ program(X1)
      | ~ decides(X0,f2(X0),f1(X0))
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_1_4) ).

fof(f66,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f3,f55,f64]) ).

fof(f3,axiom,
    ! [X0] :
      ( program(c1)
      | ~ decides(X0,f2(X0),f1(X0))
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_1_3) ).

fof(f62,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2,f60,f52]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( decides(c1,X1,X2)
      | ~ program(X1)
      | program(f2(X0))
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_1_2) ).

fof(f58,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f55,f52]) ).

fof(f1,axiom,
    ! [X0] :
      ( program(c1)
      | program(f2(X0))
      | ~ algorithm(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.NY9YSlZ5At/Vampire---4.8_7009',hypothesis_1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:36:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36  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.NY9YSlZ5At/Vampire---4.8_7009
% 0.57/0.75  % (7264)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 (2996ds/83Mi)
% 0.57/0.75  % (7258)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 (2996ds/34Mi)
% 0.57/0.75  % (7261)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (7259)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 (2996ds/51Mi)
% 0.57/0.75  % (7260)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (7262)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 (2996ds/34Mi)
% 0.57/0.75  % (7263)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76  % (7263)First to succeed.
% 0.57/0.76  % (7258)Also succeeded, but the first one will report.
% 0.57/0.76  % (7265)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 (2996ds/56Mi)
% 0.57/0.76  % (7259)Also succeeded, but the first one will report.
% 0.57/0.77  % (7263)Refutation found. Thanks to Tanya!
% 0.57/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77  % (7263)------------------------------
% 0.57/0.77  % (7263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (7263)Termination reason: Refutation
% 0.57/0.77  
% 0.57/0.77  % (7263)Memory used [KB]: 1226
% 0.57/0.77  % (7263)Time elapsed: 0.011 s
% 0.57/0.77  % (7263)Instructions burned: 16 (million)
% 0.57/0.77  % (7263)------------------------------
% 0.57/0.77  % (7263)------------------------------
% 0.57/0.77  % (7254)Success in time 0.392 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------