TSTP Solution File: NUN046^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN046^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 : Tue May 21 02:17:00 EDT 2024

% Result   : Theorem 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  103 (  20 unt;  27 typ;   0 def)
%            Number of atoms       :  319 ( 166 equ;   0 cnn)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1019 (  95   ~;  73   |;  39   &; 793   @)
%                                         (   6 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   72 (  72   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  31 usr;  17 con; 0-2 aty)
%            Number of variables   :  228 (   0   ^ 138   !;  80   ?; 228   :)
%                                         (  10  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    sK0: $tType ).

thf(func_def_0,type,
    'const/trivia/I': 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1,type,
    'const/iterate/neutral': 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

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

thf(func_def_6,type,
    sK1: sK0 > sK0 > sK0 ).

thf(func_def_7,type,
    sK2: sK0 ).

thf(func_def_8,type,
    sK3: sK0 ).

thf(func_def_9,type,
    sK4: sK0 ).

thf(func_def_10,type,
    sK5: sK0 ).

thf(func_def_11,type,
    sK6: sK0 ).

thf(func_def_12,type,
    sK7: sK0 ).

thf(func_def_13,type,
    sK8: sK0 ).

thf(func_def_14,type,
    sK9: sK0 ).

thf(func_def_15,type,
    sK10: sK0 ).

thf(func_def_16,type,
    sK11: sK0 ).

thf(func_def_17,type,
    sK12: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_18,type,
    sK13: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_19,type,
    sK14: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_20,type,
    sK15: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_21,type,
    sK16: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_22,type,
    sK17: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_23,type,
    sP18: sK0 > $o ).

thf(func_def_24,type,
    sP19: sK0 > $o ).

thf(func_def_25,type,
    sP20: sK0 > $o ).

thf(func_def_26,type,
    sP21: sK0 > $o ).

thf(func_def_27,type,
    sP22: sK0 > $o ).

thf(func_def_29,type,
    ph24: 
      !>[X0: $tType] : X0 ).

thf(f112,plain,
    $false,
    inference(avatar_sat_refutation,[],[f58,f76,f90,f101,f107,f110]) ).

thf(f110,plain,
    ~ spl23_1,
    inference(avatar_contradiction_clause,[],[f109]) ).

thf(f109,plain,
    ( $false
    | ~ spl23_1 ),
    inference(trivial_inequality_removal,[],[f108]) ).

thf(f108,plain,
    ( ( $true = $false )
    | ~ spl23_1 ),
    inference(forward_demodulation,[],[f41,f61]) ).

thf(f61,plain,
    ( ( sP18 @ sK2 )
    = $false ),
    inference(backward_demodulation,[],[f32,f60]) ).

thf(f60,plain,
    ! [X0: sK0] :
      ( ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ X0 )
      = X0 ),
    inference(trivial_inequality_removal,[],[f59]) ).

thf(f59,plain,
    ! [X0: sK0] :
      ( ( ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ X0 )
        = X0 )
      | ( $true != $true ) ),
    inference(superposition,[],[f28,f27]) ).

thf(f27,plain,
    ( ( 'const/iterate/monoidal' @ sK0 @ sK1 )
    = $true ),
    inference(cnf_transformation,[],[f18]) ).

thf(f18,plain,
    ( ( ( 'const/iterate/monoidal' @ sK0 @ sK1 )
      = $true )
    & ( ( sK2
       != ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ sK2 ) )
      | ( sK3
       != ( sK1 @ sK3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) ) )
      | ( ( sK1 @ sK5 @ sK4 )
       != ( sK1 @ sK4 @ sK5 ) )
      | ( ( sK1 @ sK6 @ ( sK1 @ sK7 @ sK8 ) )
       != ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) )
      | ( ( sK1 @ sK9 @ ( sK1 @ sK10 @ sK11 ) )
       != ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f11,f17,f16,f15,f14,f13,f12]) ).

thf(f12,plain,
    ( ? [X0: $tType,X1: X0 > X0 > X0] :
        ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
        & ( ? [X2: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
             != X2 )
          | ? [X3: X0] :
              ( ( X1 @ X3 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
             != X3 )
          | ? [X4: X0,X5: X0] :
              ( ( X1 @ X4 @ X5 )
             != ( X1 @ X5 @ X4 ) )
          | ? [X6: X0,X7: X0,X8: X0] :
              ( ( X1 @ ( X1 @ X6 @ X7 ) @ X8 )
             != ( X1 @ X6 @ ( X1 @ X7 @ X8 ) ) )
          | ? [X9: X0,X10: X0,X11: X0] :
              ( ( X1 @ X10 @ ( X1 @ X9 @ X11 ) )
             != ( X1 @ X9 @ ( X1 @ X10 @ X11 ) ) ) ) )
   => ( ( ( 'const/iterate/monoidal' @ sK0 @ sK1 )
        = $true )
      & ( ? [X2: sK0] :
            ( ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ X2 )
           != X2 )
        | ? [X3: sK0] :
            ( ( sK1 @ X3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) )
           != X3 )
        | ? [X5: sK0,X4: sK0] :
            ( ( sK1 @ X4 @ X5 )
           != ( sK1 @ X5 @ X4 ) )
        | ? [X8: sK0,X7: sK0,X6: sK0] :
            ( ( sK1 @ X6 @ ( sK1 @ X7 @ X8 ) )
           != ( sK1 @ ( sK1 @ X6 @ X7 ) @ X8 ) )
        | ? [X11: sK0,X10: sK0,X9: sK0] :
            ( ( sK1 @ X9 @ ( sK1 @ X10 @ X11 ) )
           != ( sK1 @ X10 @ ( sK1 @ X9 @ X11 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X2: sK0] :
        ( ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ X2 )
       != X2 )
   => ( sK2
     != ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ sK2 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ( ? [X3: sK0] :
        ( ( sK1 @ X3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) )
       != X3 )
   => ( sK3
     != ( sK1 @ sK3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ( ? [X5: sK0,X4: sK0] :
        ( ( sK1 @ X4 @ X5 )
       != ( sK1 @ X5 @ X4 ) )
   => ( ( sK1 @ sK5 @ sK4 )
     != ( sK1 @ sK4 @ sK5 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f16,plain,
    ( ? [X8: sK0,X7: sK0,X6: sK0] :
        ( ( sK1 @ X6 @ ( sK1 @ X7 @ X8 ) )
       != ( sK1 @ ( sK1 @ X6 @ X7 ) @ X8 ) )
   => ( ( sK1 @ sK6 @ ( sK1 @ sK7 @ sK8 ) )
     != ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f17,plain,
    ( ? [X11: sK0,X10: sK0,X9: sK0] :
        ( ( sK1 @ X9 @ ( sK1 @ X10 @ X11 ) )
       != ( sK1 @ X10 @ ( sK1 @ X9 @ X11 ) ) )
   => ( ( sK1 @ sK9 @ ( sK1 @ sK10 @ sK11 ) )
     != ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ? [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
        = $true )
      & ( ? [X2: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
           != X2 )
        | ? [X3: X0] :
            ( ( X1 @ X3 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
           != X3 )
        | ? [X4: X0,X5: X0] :
            ( ( X1 @ X4 @ X5 )
           != ( X1 @ X5 @ X4 ) )
        | ? [X6: X0,X7: X0,X8: X0] :
            ( ( X1 @ ( X1 @ X6 @ X7 ) @ X8 )
           != ( X1 @ X6 @ ( X1 @ X7 @ X8 ) ) )
        | ? [X9: X0,X10: X0,X11: X0] :
            ( ( X1 @ X10 @ ( X1 @ X9 @ X11 ) )
           != ( X1 @ X9 @ ( X1 @ X10 @ X11 ) ) ) ) ),
    inference(rectify,[],[f10]) ).

thf(f10,plain,
    ? [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
        = $true )
      & ( ? [X2: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
           != X2 )
        | ? [X5: X0] :
            ( ( X1 @ X5 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
           != X5 )
        | ? [X3: X0,X4: X0] :
            ( ( X1 @ X3 @ X4 )
           != ( X1 @ X4 @ X3 ) )
        | ? [X6: X0,X7: X0,X8: X0] :
            ( ( X1 @ ( X1 @ X6 @ X7 ) @ X8 )
           != ( X1 @ X6 @ ( X1 @ X7 @ X8 ) ) )
        | ? [X9: X0,X10: X0,X11: X0] :
            ( ( X1 @ X10 @ ( X1 @ X9 @ X11 ) )
           != ( X1 @ X9 @ ( X1 @ X10 @ X11 ) ) ) ) ),
    inference(ennf_transformation,[],[f9]) ).

thf(f9,plain,
    ~ ! [X0: $tType,X1: X0 > X0 > X0] :
        ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
       => ( ! [X5: X0] :
              ( ( X1 @ X5 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
              = X5 )
          & ! [X2: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
              = X2 )
          & ! [X6: X0,X7: X0,X8: X0] :
              ( ( X1 @ ( X1 @ X6 @ X7 ) @ X8 )
              = ( X1 @ X6 @ ( X1 @ X7 @ X8 ) ) )
          & ! [X3: X0,X4: X0] :
              ( ( X1 @ X3 @ X4 )
              = ( X1 @ X4 @ X3 ) )
          & ! [X9: X0,X10: X0,X11: X0] :
              ( ( X1 @ X10 @ ( X1 @ X9 @ X11 ) )
              = ( X1 @ X9 @ ( X1 @ X10 @ X11 ) ) ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ~ ! [X0: $tType,X1: X0 > X0 > X0] :
        ( ( 'const/iterate/monoidal' @ X0 @ X1 )
       => ( ! [X2: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
              = X2 )
          & ! [X3: X0,X4: X0] :
              ( ( X1 @ X3 @ X4 )
              = ( X1 @ X4 @ X3 ) )
          & ! [X5: X0] :
              ( ( X1 @ X5 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
              = X5 )
          & ! [X6: X0,X7: X0,X8: X0] :
              ( ( X1 @ ( X1 @ X6 @ X7 ) @ X8 )
              = ( X1 @ X6 @ ( X1 @ X7 @ X8 ) ) )
          & ! [X9: X0,X10: X0,X11: X0] :
              ( ( X1 @ X10 @ ( X1 @ X9 @ X11 ) )
              = ( X1 @ X9 @ ( X1 @ X10 @ X11 ) ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ! [X0: $tType,X1: X0 > X0 > X0] :
        ( ( 'const/iterate/monoidal' @ X0 @ X1 )
       => ( ! [X2: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
              = X2 )
          & ! [X2: X0,X3: X0] :
              ( ( X1 @ X2 @ X3 )
              = ( X1 @ X3 @ X2 ) )
          & ! [X2: X0] :
              ( ( X1 @ X2 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
              = X2 )
          & ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
          & ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ X3 @ ( X1 @ X2 @ X4 ) ) ) ) ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( 'const/iterate/monoidal' @ X0 @ X1 )
     => ( ! [X2: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
            = X2 )
        & ! [X2: X0,X3: X0] :
            ( ( X1 @ X2 @ X3 )
            = ( X1 @ X3 @ X2 ) )
        & ! [X2: X0] :
            ( ( X1 @ X2 @ ( 'const/iterate/neutral' @ X0 @ X1 ) )
            = X2 )
        & ! [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
            = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
        & ! [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
            = ( X1 @ X3 @ ( X1 @ X2 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_AC_') ).

thf(f28,plain,
    ! [X0: $tType,X1: X0 > X0 > X0,X13: X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
       != $true )
      | ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X13 )
        = X13 ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
        | ( ( X1 @ ( sK12 @ X0 @ X1 ) @ ( X1 @ ( sK13 @ X0 @ X1 ) @ ( sK14 @ X0 @ X1 ) ) )
         != ( X1 @ ( X1 @ ( sK12 @ X0 @ X1 ) @ ( sK13 @ X0 @ X1 ) ) @ ( sK14 @ X0 @ X1 ) ) )
        | ( ( X1 @ ( sK15 @ X0 @ X1 ) @ ( sK16 @ X0 @ X1 ) )
         != ( X1 @ ( sK16 @ X0 @ X1 ) @ ( sK15 @ X0 @ X1 ) ) )
        | ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ ( sK17 @ X0 @ X1 ) )
         != ( sK17 @ X0 @ X1 ) ) )
      & ( ( ! [X8: X0,X9: X0,X10: X0] :
              ( ( X1 @ ( X1 @ X8 @ X9 ) @ X10 )
              = ( X1 @ X8 @ ( X1 @ X9 @ X10 ) ) )
          & ! [X11: X0,X12: X0] :
              ( ( X1 @ X12 @ X11 )
              = ( X1 @ X11 @ X12 ) )
          & ! [X13: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X13 )
              = X13 ) )
        | ( ( 'const/iterate/monoidal' @ X0 @ X1 )
         != $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16,sK17])],[f21,f24,f23,f22]) ).

thf(f22,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ? [X2: X0,X3: X0,X4: X0] :
          ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
         != ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
     => ( ( X1 @ ( sK12 @ X0 @ X1 ) @ ( X1 @ ( sK13 @ X0 @ X1 ) @ ( sK14 @ X0 @ X1 ) ) )
       != ( X1 @ ( X1 @ ( sK12 @ X0 @ X1 ) @ ( sK13 @ X0 @ X1 ) ) @ ( sK14 @ X0 @ X1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f23,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ? [X5: X0,X6: X0] :
          ( ( X1 @ X5 @ X6 )
         != ( X1 @ X6 @ X5 ) )
     => ( ( X1 @ ( sK15 @ X0 @ X1 ) @ ( sK16 @ X0 @ X1 ) )
       != ( X1 @ ( sK16 @ X0 @ X1 ) @ ( sK15 @ X0 @ X1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f24,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ? [X7: X0] :
          ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
         != X7 )
     => ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ ( sK17 @ X0 @ X1 ) )
       != ( sK17 @ X0 @ X1 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f21,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
        | ? [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
           != ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
        | ? [X5: X0,X6: X0] :
            ( ( X1 @ X5 @ X6 )
           != ( X1 @ X6 @ X5 ) )
        | ? [X7: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
           != X7 ) )
      & ( ( ! [X8: X0,X9: X0,X10: X0] :
              ( ( X1 @ ( X1 @ X8 @ X9 ) @ X10 )
              = ( X1 @ X8 @ ( X1 @ X9 @ X10 ) ) )
          & ! [X11: X0,X12: X0] :
              ( ( X1 @ X12 @ X11 )
              = ( X1 @ X11 @ X12 ) )
          & ! [X13: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X13 )
              = X13 ) )
        | ( ( 'const/iterate/monoidal' @ X0 @ X1 )
         != $true ) ) ),
    inference(rectify,[],[f20]) ).

thf(f20,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
        | ? [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
           != ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
        | ? [X5: X0,X6: X0] :
            ( ( X1 @ X5 @ X6 )
           != ( X1 @ X6 @ X5 ) )
        | ? [X7: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
           != X7 ) )
      & ( ( ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
          & ! [X5: X0,X6: X0] :
              ( ( X1 @ X5 @ X6 )
              = ( X1 @ X6 @ X5 ) )
          & ! [X7: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
              = X7 ) )
        | ( ( 'const/iterate/monoidal' @ X0 @ X1 )
         != $true ) ) ),
    inference(flattening,[],[f19]) ).

thf(f19,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
          = $true )
        | ? [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
           != ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
        | ? [X5: X0,X6: X0] :
            ( ( X1 @ X5 @ X6 )
           != ( X1 @ X6 @ X5 ) )
        | ? [X7: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
           != X7 ) )
      & ( ( ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
          & ! [X5: X0,X6: X0] :
              ( ( X1 @ X5 @ X6 )
              = ( X1 @ X6 @ X5 ) )
          & ! [X7: X0] :
              ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
              = X7 ) )
        | ( ( 'const/iterate/monoidal' @ X0 @ X1 )
         != $true ) ) ),
    inference(nnf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
        = $true )
    <=> ( ! [X2: X0,X3: X0,X4: X0] :
            ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
            = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) )
        & ! [X5: X0,X6: X0] :
            ( ( X1 @ X5 @ X6 )
            = ( X1 @ X6 @ X5 ) )
        & ! [X7: X0] :
            ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
            = X7 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
        = ( ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) ) ) )
      & ! [X5: X0,X6: X0] :
          ( ( X1 @ X5 @ X6 )
          = ( X1 @ X6 @ X5 ) )
      & ! [X7: X0] :
          ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X7 )
          = X7 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: $tType,X1: X0 > X0 > X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
        = ( ! [X2: X0,X3: X0,X4: X0] :
              ( ( X1 @ X2 @ ( X1 @ X3 @ X4 ) )
              = ( X1 @ ( X1 @ X2 @ X3 ) @ X4 ) ) ) )
      & ! [X2: X0,X3: X0] :
          ( ( X1 @ X2 @ X3 )
          = ( X1 @ X3 @ X2 ) )
      & ! [X2: X0] :
          ( ( X1 @ ( 'const/iterate/neutral' @ X0 @ X1 ) @ X2 )
          = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/monoidal_') ).

thf(f32,plain,
    ( ( sP18 @ ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ sK2 ) )
    = $false ),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP18])]) ).

thf(f41,plain,
    ( ( ( sP18 @ sK2 )
      = $true )
    | ~ spl23_1 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f39,plain,
    ( spl23_1
  <=> ( ( sP18 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).

thf(f107,plain,
    ~ spl23_5,
    inference(avatar_contradiction_clause,[],[f106]) ).

thf(f106,plain,
    ( $false
    | ~ spl23_5 ),
    inference(trivial_inequality_removal,[],[f105]) ).

thf(f105,plain,
    ( ( $true = $false )
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f57,f64]) ).

thf(f64,plain,
    ( ( sP20 @ ( sK1 @ sK4 @ sK5 ) )
    = $false ),
    inference(backward_demodulation,[],[f34,f63]) ).

thf(f63,plain,
    ! [X0: sK0,X1: sK0] :
      ( ( sK1 @ X1 @ X0 )
      = ( sK1 @ X0 @ X1 ) ),
    inference(trivial_inequality_removal,[],[f62]) ).

thf(f62,plain,
    ! [X0: sK0,X1: sK0] :
      ( ( $true != $true )
      | ( ( sK1 @ X1 @ X0 )
        = ( sK1 @ X0 @ X1 ) ) ),
    inference(superposition,[],[f29,f27]) ).

thf(f29,plain,
    ! [X0: $tType,X11: X0,X1: X0 > X0 > X0,X12: X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
       != $true )
      | ( ( X1 @ X12 @ X11 )
        = ( X1 @ X11 @ X12 ) ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f34,plain,
    ( ( sP20 @ ( sK1 @ sK5 @ sK4 ) )
    = $false ),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP20])]) ).

thf(f57,plain,
    ( ( ( sP20 @ ( sK1 @ sK4 @ sK5 ) )
      = $true )
    | ~ spl23_5 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f55,plain,
    ( spl23_5
  <=> ( ( sP20 @ ( sK1 @ sK4 @ sK5 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).

thf(f101,plain,
    ~ spl23_4,
    inference(avatar_contradiction_clause,[],[f100]) ).

thf(f100,plain,
    ( $false
    | ~ spl23_4 ),
    inference(trivial_inequality_removal,[],[f99]) ).

thf(f99,plain,
    ( ( $true = $false )
    | ~ spl23_4 ),
    inference(forward_demodulation,[],[f98,f36]) ).

thf(f36,plain,
    ( ( sP22 @ ( sK1 @ sK9 @ ( sK1 @ sK10 @ sK11 ) ) )
    = $false ),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP22])]) ).

thf(f98,plain,
    ( ( $true
      = ( sP22 @ ( sK1 @ sK9 @ ( sK1 @ sK10 @ sK11 ) ) ) )
    | ~ spl23_4 ),
    inference(forward_demodulation,[],[f97,f63]) ).

thf(f97,plain,
    ( ( ( sP22 @ ( sK1 @ sK9 @ ( sK1 @ sK11 @ sK10 ) ) )
      = $true )
    | ~ spl23_4 ),
    inference(forward_demodulation,[],[f53,f83]) ).

thf(f83,plain,
    ! [X2: sK0,X0: sK0,X1: sK0] :
      ( ( sK1 @ X2 @ ( sK1 @ X0 @ X1 ) )
      = ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) ) ),
    inference(superposition,[],[f66,f63]) ).

thf(f66,plain,
    ! [X2: sK0,X0: sK0,X1: sK0] :
      ( ( sK1 @ ( sK1 @ X0 @ X1 ) @ X2 )
      = ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f65,plain,
    ! [X2: sK0,X0: sK0,X1: sK0] :
      ( ( $true != $true )
      | ( ( sK1 @ ( sK1 @ X0 @ X1 ) @ X2 )
        = ( sK1 @ X0 @ ( sK1 @ X1 @ X2 ) ) ) ),
    inference(superposition,[],[f30,f27]) ).

thf(f30,plain,
    ! [X0: $tType,X10: X0,X1: X0 > X0 > X0,X8: X0,X9: X0] :
      ( ( ( 'const/iterate/monoidal' @ X0 @ X1 )
       != $true )
      | ( ( X1 @ ( X1 @ X8 @ X9 ) @ X10 )
        = ( X1 @ X8 @ ( X1 @ X9 @ X10 ) ) ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f53,plain,
    ( ( $true
      = ( sP22 @ ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) )
    | ~ spl23_4 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f51,plain,
    ( spl23_4
  <=> ( $true
      = ( sP22 @ ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).

thf(f90,plain,
    ~ spl23_3,
    inference(avatar_contradiction_clause,[],[f89]) ).

thf(f89,plain,
    ( $false
    | ~ spl23_3 ),
    inference(trivial_inequality_removal,[],[f88]) ).

thf(f88,plain,
    ( ( $true = $false )
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f87,f35]) ).

thf(f35,plain,
    ( $false
    = ( sP21 @ ( sK1 @ sK6 @ ( sK1 @ sK7 @ sK8 ) ) ) ),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP21])]) ).

thf(f87,plain,
    ( ( $true
      = ( sP21 @ ( sK1 @ sK6 @ ( sK1 @ sK7 @ sK8 ) ) ) )
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f78,f83]) ).

thf(f78,plain,
    ( ( $true
      = ( sP21 @ ( sK1 @ sK8 @ ( sK1 @ sK6 @ sK7 ) ) ) )
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f49,f63]) ).

thf(f49,plain,
    ( ( ( sP21 @ ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) )
      = $true )
    | ~ spl23_3 ),
    inference(avatar_component_clause,[],[f47]) ).

thf(f47,plain,
    ( spl23_3
  <=> ( ( sP21 @ ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).

thf(f76,plain,
    ~ spl23_2,
    inference(avatar_contradiction_clause,[],[f75]) ).

thf(f75,plain,
    ( $false
    | ~ spl23_2 ),
    inference(trivial_inequality_removal,[],[f74]) ).

thf(f74,plain,
    ( ( $true = $false )
    | ~ spl23_2 ),
    inference(backward_demodulation,[],[f45,f73]) ).

thf(f73,plain,
    ( ( sP19 @ sK3 )
    = $false ),
    inference(backward_demodulation,[],[f33,f69]) ).

thf(f69,plain,
    ! [X0: sK0] :
      ( ( sK1 @ X0 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) )
      = X0 ),
    inference(superposition,[],[f63,f60]) ).

thf(f33,plain,
    ( ( sP19 @ ( sK1 @ sK3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) ) )
    = $false ),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP19])]) ).

thf(f45,plain,
    ( ( $true
      = ( sP19 @ sK3 ) )
    | ~ spl23_2 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f43,plain,
    ( spl23_2
  <=> ( $true
      = ( sP19 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).

thf(f58,plain,
    ( spl23_1
    | spl23_2
    | spl23_3
    | spl23_4
    | spl23_5 ),
    inference(avatar_split_clause,[],[f37,f55,f51,f47,f43,f39]) ).

thf(f37,plain,
    ( ( $true
      = ( sP19 @ sK3 ) )
    | ( ( sP21 @ ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) )
      = $true )
    | ( ( sP20 @ ( sK1 @ sK4 @ sK5 ) )
      = $true )
    | ( $true
      = ( sP22 @ ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) )
    | ( ( sP18 @ sK2 )
      = $true ) ),
    inference(inequality_splitting,[],[f26,f36,f35,f34,f33,f32]) ).

thf(f26,plain,
    ( ( sK2
     != ( sK1 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) @ sK2 ) )
    | ( sK3
     != ( sK1 @ sK3 @ ( 'const/iterate/neutral' @ sK0 @ sK1 ) ) )
    | ( ( sK1 @ sK5 @ sK4 )
     != ( sK1 @ sK4 @ sK5 ) )
    | ( ( sK1 @ sK6 @ ( sK1 @ sK7 @ sK8 ) )
     != ( sK1 @ ( sK1 @ sK6 @ sK7 ) @ sK8 ) )
    | ( ( sK1 @ sK9 @ ( sK1 @ sK10 @ sK11 ) )
     != ( sK1 @ sK10 @ ( sK1 @ sK9 @ sK11 ) ) ) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUN046^1 : TPTP v8.2.0. Released v7.0.0.
% 0.15/0.14  % 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 : n006.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   : Sat May 18 14:50:23 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a TH1_THM_EQU_NAR problem
% 0.22/0.36  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/benchmark/theBenchmark.p
% 0.22/0.38  % (12369)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38  % (12368)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)
% 0.22/0.38  % (12367)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)
% 0.22/0.38  % (12370)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)
% 0.22/0.38  % (12366)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38  % (12371)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)
% 0.22/0.38  % (12372)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38  % (12373)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)
% 0.22/0.38  % (12369)Instruction limit reached!
% 0.22/0.38  % (12369)------------------------------
% 0.22/0.38  % (12369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (12369)Termination reason: Unknown
% 0.22/0.38  % (12369)Termination phase: Property scanning
% 0.22/0.38  
% 0.22/0.38  % (12369)Memory used [KB]: 895
% 0.22/0.38  % (12369)Time elapsed: 0.003 s
% 0.22/0.38  % (12369)Instructions burned: 2 (million)
% 0.22/0.38  % (12369)------------------------------
% 0.22/0.38  % (12369)------------------------------
% 0.22/0.38  % Exception at run slice level
% 0.22/0.38  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.38  % (12373)Instruction limit reached!
% 0.22/0.38  % (12373)------------------------------
% 0.22/0.38  % (12373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (12373)Termination reason: Unknown
% 0.22/0.38  % (12373)Termination phase: Saturation
% 0.22/0.38  
% 0.22/0.38  % (12373)Memory used [KB]: 5500
% 0.22/0.38  % (12373)Time elapsed: 0.004 s
% 0.22/0.38  % (12373)Instructions burned: 3 (million)
% 0.22/0.38  % (12373)------------------------------
% 0.22/0.38  % (12373)------------------------------
% 0.22/0.38  % (12367)Instruction limit reached!
% 0.22/0.38  % (12367)------------------------------
% 0.22/0.38  % (12367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (12367)Termination reason: Unknown
% 0.22/0.38  % (12367)Termination phase: Saturation
% 0.22/0.38  
% 0.22/0.38  % (12367)Memory used [KB]: 5500
% 0.22/0.38  % (12367)Time elapsed: 0.005 s
% 0.22/0.38  % (12367)Instructions burned: 4 (million)
% 0.22/0.38  % (12367)------------------------------
% 0.22/0.38  % (12367)------------------------------
% 0.22/0.38  % (12371)Refutation not found, incomplete strategy
% 0.22/0.38  % (12371)------------------------------
% 0.22/0.38  % (12371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (12371)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38  
% 0.22/0.38  
% 0.22/0.38  % (12371)Memory used [KB]: 5500
% 0.22/0.38  % (12371)Time elapsed: 0.005 s
% 0.22/0.38  % (12371)Instructions burned: 4 (million)
% 0.22/0.38  % (12371)------------------------------
% 0.22/0.38  % (12371)------------------------------
% 0.22/0.39  % (12372)Instruction limit reached!
% 0.22/0.39  % (12372)------------------------------
% 0.22/0.39  % (12372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (12372)Termination reason: Unknown
% 0.22/0.39  % (12372)Termination phase: Saturation
% 0.22/0.39  
% 0.22/0.39  % (12372)Memory used [KB]: 5628
% 0.22/0.39  % (12372)Time elapsed: 0.015 s
% 0.22/0.39  % (12372)Instructions burned: 18 (million)
% 0.22/0.39  % (12372)------------------------------
% 0.22/0.39  % (12372)------------------------------
% 0.22/0.40  % (12374)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.40  % (12375)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.40  % Exception at run slice level
% 0.22/0.40  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.40  % (12368)Instruction limit reached!
% 0.22/0.40  % (12368)------------------------------
% 0.22/0.40  % (12368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (12368)Termination reason: Unknown
% 0.22/0.40  % (12368)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (12368)Memory used [KB]: 5628
% 0.22/0.40  % (12368)Time elapsed: 0.019 s
% 0.22/0.40  % (12368)Instructions burned: 27 (million)
% 0.22/0.40  % (12368)------------------------------
% 0.22/0.40  % (12368)------------------------------
% 0.22/0.40  % (12376)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40  % (12377)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.40  % Exception at run slice level
% 0.22/0.40  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.40  % (12376)Instruction limit reached!
% 0.22/0.40  % (12376)------------------------------
% 0.22/0.40  % (12376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (12376)Termination reason: Unknown
% 0.22/0.40  % (12376)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (12376)Memory used [KB]: 5500
% 0.22/0.40  % (12376)Time elapsed: 0.004 s
% 0.22/0.40  % (12376)Instructions burned: 3 (million)
% 0.22/0.40  % (12376)------------------------------
% 0.22/0.40  % (12376)------------------------------
% 0.22/0.40  % (12378)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40  % (12378)Instruction limit reached!
% 0.22/0.40  % (12378)------------------------------
% 0.22/0.40  % (12378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (12378)Termination reason: Unknown
% 0.22/0.40  % (12378)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (12378)Memory used [KB]: 1023
% 0.22/0.40  % (12378)Time elapsed: 0.007 s
% 0.22/0.40  % (12378)Instructions burned: 8 (million)
% 0.22/0.40  % (12378)------------------------------
% 0.22/0.40  % (12378)------------------------------
% 0.22/0.41  % (12375)Instruction limit reached!
% 0.22/0.41  % (12375)------------------------------
% 0.22/0.41  % (12375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (12375)Termination reason: Unknown
% 0.22/0.41  % (12375)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (12375)Memory used [KB]: 5628
% 0.22/0.41  % (12375)Time elapsed: 0.012 s
% 0.22/0.41  % (12375)Instructions burned: 15 (million)
% 0.22/0.41  % (12375)------------------------------
% 0.22/0.41  % (12375)------------------------------
% 0.22/0.41  % (12379)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41  % (12380)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41  % (12381)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41  % (12380)Instruction limit reached!
% 0.22/0.41  % (12380)------------------------------
% 0.22/0.41  % (12380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (12382)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41  % (12380)Termination reason: Unknown
% 0.22/0.41  % (12380)Termination phase: Twee Goal Transformation
% 0.22/0.41  
% 0.22/0.41  % (12380)Memory used [KB]: 1023
% 0.22/0.41  % (12380)Time elapsed: 0.004 s
% 0.22/0.41  % (12380)Instructions burned: 4 (million)
% 0.22/0.41  % (12380)------------------------------
% 0.22/0.41  % (12380)------------------------------
% 0.22/0.41  % (12381)Instruction limit reached!
% 0.22/0.41  % (12381)------------------------------
% 0.22/0.41  % (12381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (12381)Termination reason: Unknown
% 0.22/0.41  % (12381)Termination phase: Property scanning
% 0.22/0.41  
% 0.22/0.41  % (12381)Memory used [KB]: 1023
% 0.22/0.41  % (12381)Time elapsed: 0.004 s
% 0.22/0.41  % (12381)Instructions burned: 4 (million)
% 0.22/0.41  % (12381)------------------------------
% 0.22/0.41  % (12381)------------------------------
% 0.22/0.41  % (12383)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41  % Exception at run slice level
% 0.22/0.41  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.42  % (12379)Instruction limit reached!
% 0.22/0.42  % (12379)------------------------------
% 0.22/0.42  % (12379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (12379)Termination reason: Unknown
% 0.22/0.42  % (12379)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (12382)Instruction limit reached!
% 0.22/0.42  % (12382)------------------------------
% 0.22/0.42  % (12382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (12382)Termination reason: Unknown
% 0.22/0.42  % (12382)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (12382)Memory used [KB]: 5500
% 0.22/0.42  % (12382)Time elapsed: 0.006 s
% 0.22/0.42  % (12382)Instructions burned: 7 (million)
% 0.22/0.42  % (12382)------------------------------
% 0.22/0.42  % (12382)------------------------------
% 0.22/0.42  % (12379)Memory used [KB]: 5628
% 0.22/0.42  % (12379)Time elapsed: 0.011 s
% 0.22/0.42  % (12379)Instructions burned: 17 (million)
% 0.22/0.42  % (12379)------------------------------
% 0.22/0.42  % (12379)------------------------------
% 0.22/0.42  % (12384)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42  % (12385)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42  % (12384)Instruction limit reached!
% 0.22/0.42  % (12384)------------------------------
% 0.22/0.42  % (12384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (12384)Termination reason: Unknown
% 0.22/0.42  % (12384)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (12384)Memory used [KB]: 5500
% 0.22/0.42  % (12384)Time elapsed: 0.005 s
% 0.22/0.42  % (12384)Instructions burned: 5 (million)
% 0.22/0.42  % (12384)------------------------------
% 0.22/0.42  % (12384)------------------------------
% 0.22/0.43  % (12386)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43  % (12387)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43  % (12388)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.43  % (12389)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.43  % (12390)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.43  % (12387)Instruction limit reached!
% 0.22/0.43  % (12387)------------------------------
% 0.22/0.43  % (12387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (12387)Termination reason: Unknown
% 0.22/0.43  % (12387)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (12387)Memory used [KB]: 5500
% 0.22/0.43  % (12387)Time elapsed: 0.006 s
% 0.22/0.43  % (12387)Instructions burned: 6 (million)
% 0.22/0.43  % (12387)------------------------------
% 0.22/0.43  % (12387)------------------------------
% 0.22/0.43  % (12385)Instruction limit reached!
% 0.22/0.43  % (12385)------------------------------
% 0.22/0.43  % (12385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (12385)Termination reason: Unknown
% 0.22/0.43  % (12385)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (12385)Memory used [KB]: 5628
% 0.22/0.43  % (12385)Time elapsed: 0.014 s
% 0.22/0.43  % (12385)Instructions burned: 19 (million)
% 0.22/0.43  % (12385)------------------------------
% 0.22/0.43  % (12385)------------------------------
% 0.22/0.43  % Exception at run slice level
% 0.22/0.43  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.44  % (12391)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44  % Exception at run slice level
% 0.22/0.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.45  % (12389)Instruction limit reached!
% 0.22/0.45  % (12389)------------------------------
% 0.22/0.45  % (12389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (12389)Termination reason: Unknown
% 0.22/0.45  % (12389)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (12389)Memory used [KB]: 5628
% 0.22/0.45  % (12389)Time elapsed: 0.017 s
% 0.22/0.45  % (12389)Instructions burned: 21 (million)
% 0.22/0.45  % (12389)------------------------------
% 0.22/0.45  % (12389)------------------------------
% 0.22/0.45  % (12392)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.45  % (12393)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.45  % (12394)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.45  % Exception at run slice level
% 0.22/0.45  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.45  % Exception at run slice level
% 0.22/0.45  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.45  % (12395)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.46  % (12396)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.46  % (12397)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46  % (12398)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.46  % (12397)Instruction limit reached!
% 0.22/0.46  % (12397)------------------------------
% 0.22/0.46  % (12397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (12397)Termination reason: Unknown
% 0.22/0.46  % (12397)Termination phase: Property scanning
% 0.22/0.46  
% 0.22/0.46  % (12397)Memory used [KB]: 1023
% 0.22/0.46  % (12397)Time elapsed: 0.004 s
% 0.22/0.46  % (12397)Instructions burned: 3 (million)
% 0.22/0.46  % (12397)------------------------------
% 0.22/0.46  % (12397)------------------------------
% 0.22/0.47  % (12396)Instruction limit reached!
% 0.22/0.47  % (12396)------------------------------
% 0.22/0.47  % (12396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (12396)Termination reason: Unknown
% 0.22/0.47  % (12396)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (12396)Memory used [KB]: 5628
% 0.22/0.47  % (12396)Time elapsed: 0.015 s
% 0.22/0.47  % (12396)Instructions burned: 17 (million)
% 0.22/0.47  % (12396)------------------------------
% 0.22/0.47  % (12396)------------------------------
% 0.22/0.48  % (12366)Instruction limit reached!
% 0.22/0.48  % (12366)------------------------------
% 0.22/0.48  % (12366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (12366)Termination reason: Unknown
% 0.22/0.48  % (12366)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (12366)Memory used [KB]: 6780
% 0.22/0.48  % (12366)Time elapsed: 0.102 s
% 0.22/0.48  % (12366)Instructions burned: 183 (million)
% 0.22/0.48  % (12366)------------------------------
% 0.22/0.48  % (12366)------------------------------
% 0.22/0.48  % (12399)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.22/0.49  % (12398)Instruction limit reached!
% 0.22/0.49  % (12398)------------------------------
% 0.22/0.49  % (12398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (12398)Termination reason: Unknown
% 0.22/0.49  % (12398)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (12398)Memory used [KB]: 5628
% 0.22/0.49  % (12398)Time elapsed: 0.026 s
% 0.22/0.49  % (12398)Instructions burned: 30 (million)
% 0.22/0.49  % (12398)------------------------------
% 0.22/0.49  % (12398)------------------------------
% 0.22/0.49  % (12402)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.51  % (12410)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.51  % Exception at run slice level
% 0.22/0.51  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.22/0.51  % (12411)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.22/0.52  % (12411)First to succeed.
% 0.22/0.52  % (12412)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.22/0.53  % (12411)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Theorem for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (12411)------------------------------
% 0.22/0.53  % (12411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53  % (12411)Termination reason: Refutation
% 0.22/0.53  
% 0.22/0.53  % (12411)Memory used [KB]: 5628
% 0.22/0.53  % (12411)Time elapsed: 0.012 s
% 0.22/0.53  % (12411)Instructions burned: 13 (million)
% 0.22/0.53  % (12411)------------------------------
% 0.22/0.53  % (12411)------------------------------
% 0.22/0.53  % (12365)Success in time 0.156 s
% 0.22/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------