TSTP Solution File: SET171^3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET171^3 : TPTP v8.1.2. Released v3.6.0.
% 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 : n005.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 09:04:32 EDT 2024

% Result   : Theorem 0.23s 0.39s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   85 (  21 unt;  18 typ;   0 def)
%            Number of atoms       :  560 ( 100 equ;   0 cnn)
%            Maximal formula atoms :    4 (   8 avg)
%            Number of connectives :  425 (  31   ~; 100   |;  31   &; 257   @)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   95 (  95   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;   8 con; 0-3 aty)
%            Number of variables   :   59 (  43   ^   9   !;   6   ?;  59   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    in: $i > ( $i > $o ) > $o ).

thf(func_def_2,type,
    is_a: $i > ( $i > $o ) > $o ).

thf(func_def_3,type,
    emptyset: $i > $o ).

thf(func_def_4,type,
    unord_pair: $i > $i > $i > $o ).

thf(func_def_5,type,
    singleton: $i > $i > $o ).

thf(func_def_6,type,
    union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_7,type,
    excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_8,type,
    intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_9,type,
    setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_10,type,
    complement: ( $i > $o ) > $i > $o ).

thf(func_def_11,type,
    disjoint: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_12,type,
    subset: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_13,type,
    meets: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_14,type,
    misses: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_28,type,
    sK0: $i > $o ).

thf(func_def_29,type,
    sK1: $i > $o ).

thf(func_def_30,type,
    sK2: $i > $o ).

thf(func_def_32,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f104,f111,f120,f123,f126,f134]) ).

thf(f134,plain,
    ( ~ spl3_3
    | ~ spl3_5 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

thf(f133,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_5 ),
    inference(trivial_inequality_removal,[],[f129]) ).

thf(f129,plain,
    ( ( $false = $true )
    | ~ spl3_3
    | ~ spl3_5 ),
    inference(superposition,[],[f119,f108]) ).

thf(f108,plain,
    ( ( ( sK0 @ sK5 )
      = $true )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f106]) ).

thf(f106,plain,
    ( spl3_3
  <=> ( ( sK0 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f119,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f117]) ).

thf(f117,plain,
    ( spl3_5
  <=> ( $false
      = ( sK0 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

thf(f126,plain,
    ( ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f125]) ).

thf(f125,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f124]) ).

thf(f124,plain,
    ( ( $false = $true )
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f99,f115]) ).

thf(f115,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f113]) ).

thf(f113,plain,
    ( spl3_4
  <=> ( $false
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

thf(f99,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f97]) ).

thf(f97,plain,
    ( spl3_1
  <=> ( $true
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f123,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f122]) ).

thf(f122,plain,
    ( $false
    | ~ spl3_2 ),
    inference(trivial_inequality_removal,[],[f121]) ).

thf(f121,plain,
    ( ( $false = $true )
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f103,f81]) ).

thf(f81,plain,
    ( $false
    = ( sK2 @ sK5 ) ),
    inference(duplicate_literal_removal,[],[f78]) ).

thf(f78,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f77]) ).

thf(f77,plain,
    ( ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f70]) ).

thf(f70,plain,
    ( ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f57]) ).

thf(f57,plain,
    ( ( $false
      = ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f56]) ).

thf(f56,plain,
    ( ( $false
      = ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f55]) ).

thf(f55,plain,
    ( ( $false
      = ( ( ( sK0 @ sK5 )
          | ( sK2 @ sK5 ) )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) ) )
    | ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f53,plain,
    ( ( ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) )
      & ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) )
   != ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      | ( sK2 @ sK5 ) ) ),
    inference(beta_eta_normalization,[],[f52]) ).

thf(f52,plain,
    ( ( ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 )
            & ( sK1 @ Y0 ) )
          | ( sK2 @ Y0 ) )
      @ sK5 )
   != ( ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 )
            | ( sK2 @ Y0 ) )
          & ( ( sK1 @ Y0 )
            | ( sK2 @ Y0 ) ) )
      @ sK5 ) ),
    inference(negative_extensionality,[],[f51]) ).

thf(f51,plain,
    ( ( ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 )
            | ( sK2 @ Y0 ) )
          & ( ( sK1 @ Y0 )
            | ( sK2 @ Y0 ) ) ) )
   != ( ^ [Y0: $i] :
          ( ( ( sK0 @ Y0 )
            & ( sK1 @ Y0 ) )
          | ( sK2 @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f50]) ).

thf(f50,plain,
    ( ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) )
        @ sK2
        @ sK1 )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) )
        @ sK2
        @ sK0 ) )
   != ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) )
      @ sK2
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            & ( Y0 @ Y2 ) )
        @ sK1
        @ sK0 ) ) ),
    inference(definition_unfolding,[],[f48,f49,f47,f47,f47,f49]) ).

thf(f47,plain,
    ( union
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f32,plain,
    ( union
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f31]) ).

thf(f31,plain,
    ( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) )
    = union ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ( ( ^ [X0: $i > $o,X2: $i > $o,X3: $i] :
          ( ( X0 @ X3 )
          | ( X2 @ X3 ) ) )
    = union ),
    file('/export/starexec/sandbox/tmp/tmp.WloSw9gBgt/Vampire---4.8_1849',union) ).

thf(f49,plain,
    ( intersection
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f24,plain,
    ( intersection
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f23]) ).

thf(f23,plain,
    ( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) )
    = intersection ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ( ( ^ [X0: $i > $o,X2: $i > $o,X3: $i] :
          ( ( X0 @ X3 )
          & ( X2 @ X3 ) ) )
    = intersection ),
    file('/export/starexec/sandbox/tmp/tmp.WloSw9gBgt/Vampire---4.8_1849',intersection) ).

thf(f48,plain,
    ( ( intersection @ ( union @ sK2 @ sK1 ) @ ( union @ sK2 @ sK0 ) )
   != ( union @ sK2 @ ( intersection @ sK1 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f46]) ).

thf(f46,plain,
    ( ( intersection @ ( union @ sK2 @ sK1 ) @ ( union @ sK2 @ sK0 ) )
   != ( union @ sK2 @ ( intersection @ sK1 @ sK0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f45]) ).

thf(f45,plain,
    ( ? [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
        ( ( union @ X2 @ ( intersection @ X1 @ X0 ) )
       != ( intersection @ ( union @ X2 @ X1 ) @ ( union @ X2 @ X0 ) ) )
   => ( ( intersection @ ( union @ sK2 @ sK1 ) @ ( union @ sK2 @ sK0 ) )
     != ( union @ sK2 @ ( intersection @ sK1 @ sK0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f44,plain,
    ? [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
      ( ( union @ X2 @ ( intersection @ X1 @ X0 ) )
     != ( intersection @ ( union @ X2 @ X1 ) @ ( union @ X2 @ X0 ) ) ),
    inference(ennf_transformation,[],[f43]) ).

thf(f43,plain,
    ~ ! [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
        ( ( union @ X2 @ ( intersection @ X1 @ X0 ) )
        = ( intersection @ ( union @ X2 @ X1 ) @ ( union @ X2 @ X0 ) ) ),
    inference(rectify,[],[f16]) ).

thf(f16,negated_conjecture,
    ~ ! [X6: $i > $o,X5: $i > $o,X4: $i > $o] :
        ( ( union @ X4 @ ( intersection @ X5 @ X6 ) )
        = ( intersection @ ( union @ X4 @ X5 ) @ ( union @ X4 @ X6 ) ) ),
    inference(negated_conjecture,[],[f15]) ).

thf(f15,conjecture,
    ! [X6: $i > $o,X5: $i > $o,X4: $i > $o] :
      ( ( union @ X4 @ ( intersection @ X5 @ X6 ) )
      = ( intersection @ ( union @ X4 @ X5 ) @ ( union @ X4 @ X6 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.WloSw9gBgt/Vampire---4.8_1849',union_distributes_over_intersection) ).

thf(f103,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f101]) ).

thf(f101,plain,
    ( spl3_2
  <=> ( ( sK2 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f120,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f64,f117,f113]) ).

thf(f64,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f63]) ).

thf(f63,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f62]) ).

thf(f62,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( $false
      = ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) ) )
    | ( $false
      = ( sK0 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f60]) ).

thf(f60,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f58]) ).

thf(f58,plain,
    ( ( $false
      = ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( $false
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f56]) ).

thf(f111,plain,
    ( spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f89,f101,f106]) ).

thf(f89,plain,
    ( ( ( sK0 @ sK5 )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f88]) ).

thf(f88,plain,
    ( ( ( sK0 @ sK5 )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f86]) ).

thf(f86,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f85]) ).

thf(f85,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f84]) ).

thf(f84,plain,
    ( ( ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $true )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f83]) ).

thf(f83,plain,
    ( ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( ( ( sK0 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f54,plain,
    ( ( ( ( ( sK0 @ sK5 )
          | ( sK2 @ sK5 ) )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
      = $true )
    | ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f104,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f95,f101,f97]) ).

thf(f95,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f93]) ).

thf(f93,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f92]) ).

thf(f92,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f91]) ).

thf(f91,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( ( sK2 @ sK5 )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f90]) ).

thf(f90,plain,
    ( ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f82]) ).

thf(f82,plain,
    ( ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $true )
    | ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK1 @ sK5 ) )
        | ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET171^3 : TPTP v8.1.2. Released v3.6.0.
% 0.03/0.15  % 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
% 0.16/0.36  % Computer : n005.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 17:26:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH0_THM_EQU_NAR problem
% 0.16/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.WloSw9gBgt/Vampire---4.8_1849
% 0.23/0.38  % (2120)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.23/0.38  % (2119)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.23/0.38  % (2118)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.23/0.38  % (2121)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.38  % (2122)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.39  % (2123)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.23/0.39  % (2121)Instruction limit reached!
% 0.23/0.39  % (2121)------------------------------
% 0.23/0.39  % (2121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (2121)Termination reason: Unknown
% 0.23/0.39  % (2121)Termination phase: shuffling
% 0.23/0.39  
% 0.23/0.39  % (2121)Memory used [KB]: 895
% 0.23/0.39  % (2121)Time elapsed: 0.003 s
% 0.23/0.39  % (2121)Instructions burned: 2 (million)
% 0.23/0.39  % (2121)------------------------------
% 0.23/0.39  % (2121)------------------------------
% 0.23/0.39  % (2122)Instruction limit reached!
% 0.23/0.39  % (2122)------------------------------
% 0.23/0.39  % (2122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (2122)Termination reason: Unknown
% 0.23/0.39  % (2122)Termination phase: shuffling
% 0.23/0.39  
% 0.23/0.39  % (2122)Memory used [KB]: 895
% 0.23/0.39  % (2122)Time elapsed: 0.003 s
% 0.23/0.39  % (2122)Instructions burned: 2 (million)
% 0.23/0.39  % (2122)------------------------------
% 0.23/0.39  % (2122)------------------------------
% 0.23/0.39  % (2119)Instruction limit reached!
% 0.23/0.39  % (2119)------------------------------
% 0.23/0.39  % (2119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (2119)Termination reason: Unknown
% 0.23/0.39  % (2119)Termination phase: Saturation
% 0.23/0.39  
% 0.23/0.39  % (2119)Memory used [KB]: 5500
% 0.23/0.39  % (2119)Time elapsed: 0.005 s
% 0.23/0.39  % (2119)Instructions burned: 4 (million)
% 0.23/0.39  % (2119)------------------------------
% 0.23/0.39  % (2119)------------------------------
% 0.23/0.39  % (2123)First to succeed.
% 0.23/0.39  % (2124)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.39  % (2118)Also succeeded, but the first one will report.
% 0.23/0.39  % (2123)Refutation found. Thanks to Tanya!
% 0.23/0.39  % SZS status Theorem for Vampire---4
% 0.23/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.39  % (2123)------------------------------
% 0.23/0.39  % (2123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (2123)Termination reason: Refutation
% 0.23/0.39  
% 0.23/0.39  % (2123)Memory used [KB]: 5500
% 0.23/0.39  % (2123)Time elapsed: 0.007 s
% 0.23/0.39  % (2123)Instructions burned: 5 (million)
% 0.23/0.39  % (2123)------------------------------
% 0.23/0.39  % (2123)------------------------------
% 0.23/0.39  % (2117)Success in time 0.021 s
% 0.23/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------