TSTP Solution File: ANA095^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA095^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Mon May 20 18:40:28 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   45 (  13 unt;  14 typ;   0 def)
%            Number of atoms       :  262 (  73 equ;   0 cnn)
%            Maximal formula atoms :    8 (   8 avg)
%            Number of connectives :  566 (  37   ~;  22   |;  29   &; 467   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   81 (  81   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   2 con; 0-5 aty)
%            Number of variables   :   74 (   0   ^  54   !;  12   ?;  74   :)
%                                         (   8  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    'type/realax/real': $tType ).

thf(type_def_7,type,
    sK0: $tType ).

thf(func_def_0,type,
    'type/realax/real': $tType ).

thf(func_def_1,type,
    'const/sets/UNION': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > $o ) ).

thf(func_def_2,type,
    'const/sets/FINITE': 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_3,type,
    'const/sets/DISJOINT': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).

thf(func_def_4,type,
    'const/realax/real_add': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).

thf(func_def_5,type,
    'const/iterate/sum': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).

thf(func_def_6,type,
    'const/iterate/monoidal': 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).

thf(func_def_7,type,
    'const/iterate/iterate': 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X1 > X1 ) > ( X0 > $o ) > ( X0 > X1 ) > X1 ) ).

thf(func_def_11,type,
    sK1: sK0 > 'type/realax/real' ).

thf(func_def_12,type,
    sK2: sK0 > $o ).

thf(func_def_13,type,
    sK3: sK0 > $o ).

thf(func_def_15,type,
    ph5: 
      !>[X0: $tType] : X0 ).

thf(f32,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f20]) ).

thf(f20,plain,
    ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
    = $true ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
    = $true ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_REAL_ADD_') ).

thf(f31,plain,
    ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
   != $true ),
    inference(subsumption_resolution,[],[f30,f23]) ).

thf(f23,plain,
    ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
    = $true ),
    inference(cnf_transformation,[],[f18]) ).

thf(f18,plain,
    ( ( $true
      = ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) )
    & ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
      = $true )
    & ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
      = $true )
    & ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) )
     != ( 'const/iterate/sum' @ sK0 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f14,f17]) ).

thf(f17,plain,
    ( ? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
        ( ( ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
          = $true )
        & ( ( 'const/sets/FINITE' @ X0 @ X2 )
          = $true )
        & ( ( 'const/sets/FINITE' @ X0 @ X3 )
          = $true )
        & ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
         != ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) )
   => ( ( $true
        = ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) )
      & ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
        = $true )
      & ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
        = $true )
      & ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) )
       != ( 'const/iterate/sum' @ sK0 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
      ( ( ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
        = $true )
      & ( ( 'const/sets/FINITE' @ X0 @ X2 )
        = $true )
      & ( ( 'const/sets/FINITE' @ X0 @ X3 )
        = $true )
      & ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
       != ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) ),
    inference(flattening,[],[f13]) ).

thf(f13,plain,
    ? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
      ( ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
       != ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) )
      & ( ( 'const/sets/FINITE' @ X0 @ X2 )
        = $true )
      & ( ( 'const/sets/FINITE' @ X0 @ X3 )
        = $true )
      & ( ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
        = $true ) ),
    inference(ennf_transformation,[],[f12]) ).

thf(f12,plain,
    ~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
        ( ( ( ( 'const/sets/FINITE' @ X0 @ X2 )
            = $true )
          & ( ( 'const/sets/FINITE' @ X0 @ X3 )
            = $true )
          & ( ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
            = $true ) )
       => ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
          = ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) ),
    inference(fool_elimination,[],[f11]) ).

thf(f11,plain,
    ~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
        ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
          & ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
          & ( 'const/sets/FINITE' @ X0 @ X2 ) )
       => ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
          = ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,negated_conjecture,
    ~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
        ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
          & ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
          & ( 'const/sets/FINITE' @ X0 @ X2 ) )
       => ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
          = ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) ),
    inference(negated_conjecture,[],[f4]) ).

thf(f4,conjecture,
    ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o,X3: X0 > $o] :
      ( ( ( 'const/sets/FINITE' @ X0 @ X3 )
        & ( 'const/sets/DISJOINT' @ X0 @ X2 @ X3 )
        & ( 'const/sets/FINITE' @ X0 @ X2 ) )
     => ( ( 'const/iterate/sum' @ X0 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) @ X1 )
        = ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_UNION_') ).

thf(f30,plain,
    ( ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
     != $true )
    | ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
     != $true ) ),
    inference(subsumption_resolution,[],[f29,f24]) ).

thf(f24,plain,
    ( $true
    = ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f29,plain,
    ( ( $true
     != ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) )
    | ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
     != $true )
    | ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
     != $true ) ),
    inference(subsumption_resolution,[],[f28,f22]) ).

thf(f22,plain,
    ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
    = $true ),
    inference(cnf_transformation,[],[f18]) ).

thf(f28,plain,
    ( ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
     != $true )
    | ( $true
     != ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) )
    | ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
     != $true )
    | ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f27]) ).

thf(f27,plain,
    ( ( ( 'const/sets/FINITE' @ sK0 @ sK2 )
     != $true )
    | ( ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 )
     != ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 ) )
    | ( $true
     != ( 'const/sets/DISJOINT' @ sK0 @ sK2 @ sK3 ) )
    | ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
     != $true )
    | ( ( 'const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add' )
     != $true ) ),
    inference(superposition,[],[f26,f25]) ).

thf(f25,plain,
    ! [X1: $tType,X0: $tType,X2: X1 > X1 > X1,X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
      ( ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
        = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) )
      | ( ( 'const/iterate/monoidal' @ X1 @ X2 )
       != $true )
      | ( ( 'const/sets/FINITE' @ X0 @ X5 )
       != $true )
      | ( ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
       != $true )
      | ( ( 'const/sets/FINITE' @ X0 @ X4 )
       != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f16,plain,
    ! [X0: $tType,X1: $tType,X2: X1 > X1 > X1] :
      ( ( ( 'const/iterate/monoidal' @ X1 @ X2 )
       != $true )
      | ! [X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
          ( ( ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
           != $true )
          | ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
            = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) )
          | ( ( 'const/sets/FINITE' @ X0 @ X5 )
           != $true )
          | ( ( 'const/sets/FINITE' @ X0 @ X4 )
           != $true ) ) ),
    inference(flattening,[],[f15]) ).

thf(f15,plain,
    ! [X0: $tType,X1: $tType,X2: X1 > X1 > X1] :
      ( ! [X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
          ( ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
            = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) )
          | ( ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
           != $true )
          | ( ( 'const/sets/FINITE' @ X0 @ X4 )
           != $true )
          | ( ( 'const/sets/FINITE' @ X0 @ X5 )
           != $true ) )
      | ( ( 'const/iterate/monoidal' @ X1 @ X2 )
       != $true ) ),
    inference(ennf_transformation,[],[f8]) ).

thf(f8,plain,
    ! [X0: $tType,X1: $tType,X2: X1 > X1 > X1] :
      ( ( ( 'const/iterate/monoidal' @ X1 @ X2 )
        = $true )
     => ! [X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
          ( ( ( ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
              = $true )
            & ( ( 'const/sets/FINITE' @ X0 @ X4 )
              = $true )
            & ( ( 'const/sets/FINITE' @ X0 @ X5 )
              = $true ) )
         => ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
            = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) ) ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ! [X0: $tType,X1: $tType,X2: X1 > X1 > X1] :
      ( ( 'const/iterate/monoidal' @ X1 @ X2 )
     => ! [X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
          ( ( ( 'const/sets/FINITE' @ X0 @ X5 )
            & ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
            & ( 'const/sets/FINITE' @ X0 @ X4 ) )
         => ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
            = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: $tType,X1: $tType,X2: X1 > X1 > X1] :
      ( ( 'const/iterate/monoidal' @ X1 @ X2 )
     => ! [X3: X0 > X1,X4: X0 > $o,X5: X0 > $o] :
          ( ( ( 'const/sets/FINITE' @ X0 @ X5 )
            & ( 'const/sets/DISJOINT' @ X0 @ X4 @ X5 )
            & ( 'const/sets/FINITE' @ X0 @ X4 ) )
         => ( ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ ( 'const/sets/UNION' @ X0 @ X4 @ X5 ) @ X3 )
            = ( X2 @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3 ) @ ( 'const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/ITERATE_UNION_') ).

thf(f26,plain,
    ( ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 )
   != ( 'const/realax/real_add' @ ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ sK2 @ sK1 ) @ ( 'const/iterate/iterate' @ sK0 @ 'type/realax/real' @ 'const/realax/real_add' @ sK3 @ sK1 ) ) ),
    inference(definition_unfolding,[],[f21,f19,f19,f19]) ).

thf(f19,plain,
    ! [X0: $tType] :
      ( 'const/iterate/sum'
      @ ( X0
        = ( 'const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add' ) ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType] :
      ( 'const/iterate/sum'
      @ ( X0
        = ( 'const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add' ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/sum_') ).

thf(f21,plain,
    ( ( 'const/realax/real_add' @ ( 'const/iterate/sum' @ sK0 @ sK2 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) )
   != ( 'const/iterate/sum' @ sK0 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK1 ) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA095^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 07:48:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH1_THM_EQU_NAR problem
% 0.13/0.35  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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % (16683)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37  % (16680)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37  % (16679)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 theBenchmark for (2999ds/27Mi)
% 0.13/0.37  % (16678)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 theBenchmark for (2999ds/4Mi)
% 0.13/0.37  % (16682)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.37  % (16681)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37  % (16680)Instruction limit reached!
% 0.13/0.37  % (16680)------------------------------
% 0.13/0.37  % (16680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16680)Termination reason: Unknown
% 0.13/0.37  % (16680)Termination phase: Preprocessing 3
% 0.13/0.37  % (16681)Instruction limit reached!
% 0.13/0.37  % (16681)------------------------------
% 0.13/0.37  % (16681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16681)Termination reason: Unknown
% 0.13/0.37  % (16681)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (16681)Memory used [KB]: 895
% 0.13/0.37  % (16681)Time elapsed: 0.002 s
% 0.13/0.37  % (16681)Instructions burned: 2 (million)
% 0.13/0.37  % (16681)------------------------------
% 0.13/0.37  % (16681)------------------------------
% 0.13/0.37  
% 0.13/0.37  % (16680)Memory used [KB]: 895
% 0.13/0.37  % (16680)Time elapsed: 0.003 s
% 0.13/0.37  % (16680)Instructions burned: 2 (million)
% 0.13/0.37  % (16680)------------------------------
% 0.13/0.37  % (16680)------------------------------
% 0.13/0.37  % (16677)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37  % (16684)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37  % (16678)Instruction limit reached!
% 0.13/0.37  % (16678)------------------------------
% 0.13/0.37  % (16678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16678)Termination reason: Unknown
% 0.13/0.37  % (16678)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (16678)Memory used [KB]: 5500
% 0.13/0.37  % (16678)Time elapsed: 0.004 s
% 0.13/0.37  % (16678)Instructions burned: 4 (million)
% 0.13/0.37  % (16678)------------------------------
% 0.13/0.37  % (16678)------------------------------
% 0.13/0.37  % (16682)First to succeed.
% 0.13/0.37  % (16684)Instruction limit reached!
% 0.13/0.37  % (16684)------------------------------
% 0.13/0.37  % (16684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16684)Termination reason: Unknown
% 0.13/0.37  % (16684)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (16684)Memory used [KB]: 5500
% 0.13/0.37  % (16684)Time elapsed: 0.003 s
% 0.13/0.37  % (16684)Instructions burned: 3 (million)
% 0.13/0.37  % (16684)------------------------------
% 0.13/0.37  % (16684)------------------------------
% 0.13/0.37  % (16683)Also succeeded, but the first one will report.
% 0.13/0.37  % (16679)Also succeeded, but the first one will report.
% 0.13/0.37  % (16682)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (16682)------------------------------
% 0.13/0.37  % (16682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16682)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (16682)Memory used [KB]: 5500
% 0.13/0.37  % (16682)Time elapsed: 0.006 s
% 0.13/0.37  % (16682)Instructions burned: 4 (million)
% 0.13/0.37  % (16682)------------------------------
% 0.13/0.37  % (16682)------------------------------
% 0.13/0.37  % (16676)Success in time 0.007 s
% 0.13/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------