TSTP Solution File: SEU998^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU998^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n010.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 03:52:32 EDT 2024

% Result   : Theorem 0.22s 0.57s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (  29 unt;   9 typ;   0 def)
%            Number of atoms       :  440 ( 439 equ;   0 cnn)
%            Maximal formula atoms :   78 (  11 avg)
%            Number of connectives : 1507 ( 117   ~;   0   |; 394   &; 988   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   48 (  11 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :  247 (   0   ^ 194   !;  53   ?; 247   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(func_def_0,type,
    a: $tType ).

thf(func_def_4,type,
    sK0: a > a > a ).

thf(func_def_5,type,
    sK1: a > a > a ).

thf(func_def_6,type,
    sK2: a ).

thf(func_def_7,type,
    sK3: a ).

thf(func_def_8,type,
    sK4: a ).

thf(func_def_9,type,
    sK5: a ).

thf(func_def_10,type,
    sK6: a ).

thf(f1244,plain,
    $false,
    inference(subsumption_resolution,[],[f1243,f51]) ).

thf(f51,plain,
    ( ( sK0 @ sK2 @ sK6 )
   != sK5 ),
    inference(definition_unfolding,[],[f39,f38]) ).

thf(f38,plain,
    ( sK3
    = ( sK0 @ sK2 @ sK6 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ! [X2: a,X3: a] :
        ( ( sK1 @ X2 @ X3 )
        = ( sK1 @ X3 @ X2 ) )
    & ! [X4: a,X5: a,X6: a] :
        ( ( sK1 @ X5 @ ( sK1 @ X6 @ X4 ) )
        = ( sK1 @ ( sK1 @ X5 @ X6 ) @ X4 ) )
    & ! [X7: a,X8: a] :
        ( ( sK0 @ ( sK1 @ X7 @ X8 ) @ X8 )
        = X8 )
    & ! [X9: a] :
        ( ( sK1 @ X9 @ X9 )
        = X9 )
    & ! [X10: a,X11: a,X12: a] :
        ( ( sK0 @ X11 @ ( sK0 @ X10 @ X12 ) )
        = ( sK0 @ ( sK0 @ X11 @ X10 ) @ X12 ) )
    & ! [X13: a,X14: a,X15: a] :
        ( ( sK1 @ ( sK0 @ X13 @ X14 ) @ ( sK0 @ X13 @ X15 ) )
        = ( sK0 @ X13 @ ( sK1 @ X14 @ X15 ) ) )
    & ! [X16: a] :
        ( ( sK0 @ X16 @ X16 )
        = X16 )
    & ! [X17: a,X18: a] :
        ( ( sK1 @ ( sK0 @ X18 @ X17 ) @ X17 )
        = X17 )
    & ! [X19: a,X20: a] :
        ( ( sK0 @ X20 @ X19 )
        = ( sK0 @ X19 @ X20 ) )
    & ( ( sK1 @ sK4 @ sK3 )
      = sK4 )
    & ( sK3 != sK5 )
    & ( sK3
      = ( sK0 @ sK2 @ sK6 ) )
    & ( sK5
      = ( sK0 @ sK4 @ sK5 ) )
    & ( ( sK1 @ sK4 @ sK6 )
      = sK4 )
    & ( sK3
      = ( sK0 @ sK6 @ sK3 ) )
    & ( sK3
      = ( sK0 @ sK2 @ sK3 ) )
    & ( sK2 != sK6 )
    & ( sK6 != sK5 )
    & ( ( sK1 @ sK5 @ sK2 )
      = sK4 )
    & ( ( sK1 @ sK2 @ sK3 )
      = sK2 )
    & ( sK5 != sK4 )
    & ( sK3
      = ( sK0 @ sK4 @ sK3 ) )
    & ( sK3 != sK2 )
    & ( ( sK0 @ sK4 @ sK6 )
      = sK6 )
    & ( sK2 != sK5 )
    & ( ( sK1 @ sK4 @ sK2 )
      = sK4 )
    & ( sK3 != sK4 )
    & ( ( sK1 @ sK6 @ sK3 )
      = sK6 )
    & ( sK3
      = ( sK0 @ sK5 @ sK6 ) )
    & ( sK2 != sK4 )
    & ( ( sK0 @ sK5 @ sK2 )
      = sK3 )
    & ( ( sK1 @ sK5 @ sK6 )
      = sK4 )
    & ( sK3 != sK6 )
    & ( ( sK1 @ sK2 @ sK6 )
      = sK4 )
    & ( ( sK1 @ sK4 @ sK5 )
      = sK4 )
    & ( sK2
      = ( sK0 @ sK4 @ sK2 ) )
    & ( sK5
      = ( sK1 @ sK5 @ sK3 ) )
    & ( sK6 != sK4 )
    & ( sK3
      = ( sK0 @ sK5 @ sK3 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f7,f9,f8]) ).

thf(f8,plain,
    ( ? [X0: a > a > a,X1: a > a > a] :
        ( ! [X2: a,X3: a] :
            ( ( X1 @ X2 @ X3 )
            = ( X1 @ X3 @ X2 ) )
        & ! [X4: a,X5: a,X6: a] :
            ( ( X1 @ X5 @ ( X1 @ X6 @ X4 ) )
            = ( X1 @ ( X1 @ X5 @ X6 ) @ X4 ) )
        & ! [X7: a,X8: a] :
            ( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
            = X8 )
        & ! [X9: a] :
            ( ( X1 @ X9 @ X9 )
            = X9 )
        & ! [X10: a,X11: a,X12: a] :
            ( ( X0 @ ( X0 @ X11 @ X10 ) @ X12 )
            = ( X0 @ X11 @ ( X0 @ X10 @ X12 ) ) )
        & ! [X13: a,X14: a,X15: a] :
            ( ( X1 @ ( X0 @ X13 @ X14 ) @ ( X0 @ X13 @ X15 ) )
            = ( X0 @ X13 @ ( X1 @ X14 @ X15 ) ) )
        & ! [X16: a] :
            ( ( X0 @ X16 @ X16 )
            = X16 )
        & ! [X17: a,X18: a] :
            ( ( X1 @ ( X0 @ X18 @ X17 ) @ X17 )
            = X17 )
        & ! [X19: a,X20: a] :
            ( ( X0 @ X20 @ X19 )
            = ( X0 @ X19 @ X20 ) )
        & ? [X21: a,X22: a,X23: a,X24: a,X25: a] :
            ( ( ( X1 @ X23 @ X22 )
              = X23 )
            & ( X22 != X24 )
            & ( ( X0 @ X21 @ X25 )
              = X22 )
            & ( ( X0 @ X23 @ X24 )
              = X24 )
            & ( ( X1 @ X23 @ X25 )
              = X23 )
            & ( ( X0 @ X25 @ X22 )
              = X22 )
            & ( ( X0 @ X21 @ X22 )
              = X22 )
            & ( X21 != X25 )
            & ( X24 != X25 )
            & ( ( X1 @ X24 @ X21 )
              = X23 )
            & ( ( X1 @ X21 @ X22 )
              = X21 )
            & ( X23 != X24 )
            & ( ( X0 @ X23 @ X22 )
              = X22 )
            & ( X21 != X22 )
            & ( ( X0 @ X23 @ X25 )
              = X25 )
            & ( X21 != X24 )
            & ( ( X1 @ X23 @ X21 )
              = X23 )
            & ( X22 != X23 )
            & ( ( X1 @ X25 @ X22 )
              = X25 )
            & ( ( X0 @ X24 @ X25 )
              = X22 )
            & ( X21 != X23 )
            & ( ( X0 @ X24 @ X21 )
              = X22 )
            & ( ( X1 @ X24 @ X25 )
              = X23 )
            & ( X22 != X25 )
            & ( ( X1 @ X21 @ X25 )
              = X23 )
            & ( ( X1 @ X23 @ X24 )
              = X23 )
            & ( ( X0 @ X23 @ X21 )
              = X21 )
            & ( ( X1 @ X24 @ X22 )
              = X24 )
            & ( X23 != X25 )
            & ( ( X0 @ X24 @ X22 )
              = X22 ) ) )
   => ( ! [X3: a,X2: a] :
          ( ( sK1 @ X2 @ X3 )
          = ( sK1 @ X3 @ X2 ) )
      & ! [X6: a,X5: a,X4: a] :
          ( ( sK1 @ X5 @ ( sK1 @ X6 @ X4 ) )
          = ( sK1 @ ( sK1 @ X5 @ X6 ) @ X4 ) )
      & ! [X8: a,X7: a] :
          ( ( sK0 @ ( sK1 @ X7 @ X8 ) @ X8 )
          = X8 )
      & ! [X9: a] :
          ( ( sK1 @ X9 @ X9 )
          = X9 )
      & ! [X12: a,X11: a,X10: a] :
          ( ( sK0 @ X11 @ ( sK0 @ X10 @ X12 ) )
          = ( sK0 @ ( sK0 @ X11 @ X10 ) @ X12 ) )
      & ! [X15: a,X14: a,X13: a] :
          ( ( sK1 @ ( sK0 @ X13 @ X14 ) @ ( sK0 @ X13 @ X15 ) )
          = ( sK0 @ X13 @ ( sK1 @ X14 @ X15 ) ) )
      & ! [X16: a] :
          ( ( sK0 @ X16 @ X16 )
          = X16 )
      & ! [X18: a,X17: a] :
          ( ( sK1 @ ( sK0 @ X18 @ X17 ) @ X17 )
          = X17 )
      & ! [X20: a,X19: a] :
          ( ( sK0 @ X20 @ X19 )
          = ( sK0 @ X19 @ X20 ) )
      & ? [X25: a,X24: a,X23: a,X22: a,X21: a] :
          ( ( ( sK1 @ X23 @ X22 )
            = X23 )
          & ( X22 != X24 )
          & ( ( sK0 @ X21 @ X25 )
            = X22 )
          & ( ( sK0 @ X23 @ X24 )
            = X24 )
          & ( ( sK1 @ X23 @ X25 )
            = X23 )
          & ( ( sK0 @ X25 @ X22 )
            = X22 )
          & ( ( sK0 @ X21 @ X22 )
            = X22 )
          & ( X21 != X25 )
          & ( X24 != X25 )
          & ( ( sK1 @ X24 @ X21 )
            = X23 )
          & ( ( sK1 @ X21 @ X22 )
            = X21 )
          & ( X23 != X24 )
          & ( ( sK0 @ X23 @ X22 )
            = X22 )
          & ( X21 != X22 )
          & ( ( sK0 @ X23 @ X25 )
            = X25 )
          & ( X21 != X24 )
          & ( ( sK1 @ X23 @ X21 )
            = X23 )
          & ( X22 != X23 )
          & ( ( sK1 @ X25 @ X22 )
            = X25 )
          & ( ( sK0 @ X24 @ X25 )
            = X22 )
          & ( X21 != X23 )
          & ( ( sK0 @ X24 @ X21 )
            = X22 )
          & ( ( sK1 @ X24 @ X25 )
            = X23 )
          & ( X22 != X25 )
          & ( ( sK1 @ X21 @ X25 )
            = X23 )
          & ( ( sK1 @ X23 @ X24 )
            = X23 )
          & ( ( sK0 @ X23 @ X21 )
            = X21 )
          & ( ( sK1 @ X24 @ X22 )
            = X24 )
          & ( X23 != X25 )
          & ( ( sK0 @ X24 @ X22 )
            = X22 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ? [X25: a,X24: a,X23: a,X22: a,X21: a] :
        ( ( ( sK1 @ X23 @ X22 )
          = X23 )
        & ( X22 != X24 )
        & ( ( sK0 @ X21 @ X25 )
          = X22 )
        & ( ( sK0 @ X23 @ X24 )
          = X24 )
        & ( ( sK1 @ X23 @ X25 )
          = X23 )
        & ( ( sK0 @ X25 @ X22 )
          = X22 )
        & ( ( sK0 @ X21 @ X22 )
          = X22 )
        & ( X21 != X25 )
        & ( X24 != X25 )
        & ( ( sK1 @ X24 @ X21 )
          = X23 )
        & ( ( sK1 @ X21 @ X22 )
          = X21 )
        & ( X23 != X24 )
        & ( ( sK0 @ X23 @ X22 )
          = X22 )
        & ( X21 != X22 )
        & ( ( sK0 @ X23 @ X25 )
          = X25 )
        & ( X21 != X24 )
        & ( ( sK1 @ X23 @ X21 )
          = X23 )
        & ( X22 != X23 )
        & ( ( sK1 @ X25 @ X22 )
          = X25 )
        & ( ( sK0 @ X24 @ X25 )
          = X22 )
        & ( X21 != X23 )
        & ( ( sK0 @ X24 @ X21 )
          = X22 )
        & ( ( sK1 @ X24 @ X25 )
          = X23 )
        & ( X22 != X25 )
        & ( ( sK1 @ X21 @ X25 )
          = X23 )
        & ( ( sK1 @ X23 @ X24 )
          = X23 )
        & ( ( sK0 @ X23 @ X21 )
          = X21 )
        & ( ( sK1 @ X24 @ X22 )
          = X24 )
        & ( X23 != X25 )
        & ( ( sK0 @ X24 @ X22 )
          = X22 ) )
   => ( ( ( sK1 @ sK4 @ sK3 )
        = sK4 )
      & ( sK3 != sK5 )
      & ( sK3
        = ( sK0 @ sK2 @ sK6 ) )
      & ( sK5
        = ( sK0 @ sK4 @ sK5 ) )
      & ( ( sK1 @ sK4 @ sK6 )
        = sK4 )
      & ( sK3
        = ( sK0 @ sK6 @ sK3 ) )
      & ( sK3
        = ( sK0 @ sK2 @ sK3 ) )
      & ( sK2 != sK6 )
      & ( sK6 != sK5 )
      & ( ( sK1 @ sK5 @ sK2 )
        = sK4 )
      & ( ( sK1 @ sK2 @ sK3 )
        = sK2 )
      & ( sK5 != sK4 )
      & ( sK3
        = ( sK0 @ sK4 @ sK3 ) )
      & ( sK3 != sK2 )
      & ( ( sK0 @ sK4 @ sK6 )
        = sK6 )
      & ( sK2 != sK5 )
      & ( ( sK1 @ sK4 @ sK2 )
        = sK4 )
      & ( sK3 != sK4 )
      & ( ( sK1 @ sK6 @ sK3 )
        = sK6 )
      & ( sK3
        = ( sK0 @ sK5 @ sK6 ) )
      & ( sK2 != sK4 )
      & ( ( sK0 @ sK5 @ sK2 )
        = sK3 )
      & ( ( sK1 @ sK5 @ sK6 )
        = sK4 )
      & ( sK3 != sK6 )
      & ( ( sK1 @ sK2 @ sK6 )
        = sK4 )
      & ( ( sK1 @ sK4 @ sK5 )
        = sK4 )
      & ( sK2
        = ( sK0 @ sK4 @ sK2 ) )
      & ( sK5
        = ( sK1 @ sK5 @ sK3 ) )
      & ( sK6 != sK4 )
      & ( sK3
        = ( sK0 @ sK5 @ sK3 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ? [X0: a > a > a,X1: a > a > a] :
      ( ! [X2: a,X3: a] :
          ( ( X1 @ X2 @ X3 )
          = ( X1 @ X3 @ X2 ) )
      & ! [X4: a,X5: a,X6: a] :
          ( ( X1 @ X5 @ ( X1 @ X6 @ X4 ) )
          = ( X1 @ ( X1 @ X5 @ X6 ) @ X4 ) )
      & ! [X7: a,X8: a] :
          ( ( X0 @ ( X1 @ X7 @ X8 ) @ X8 )
          = X8 )
      & ! [X9: a] :
          ( ( X1 @ X9 @ X9 )
          = X9 )
      & ! [X10: a,X11: a,X12: a] :
          ( ( X0 @ ( X0 @ X11 @ X10 ) @ X12 )
          = ( X0 @ X11 @ ( X0 @ X10 @ X12 ) ) )
      & ! [X13: a,X14: a,X15: a] :
          ( ( X1 @ ( X0 @ X13 @ X14 ) @ ( X0 @ X13 @ X15 ) )
          = ( X0 @ X13 @ ( X1 @ X14 @ X15 ) ) )
      & ! [X16: a] :
          ( ( X0 @ X16 @ X16 )
          = X16 )
      & ! [X17: a,X18: a] :
          ( ( X1 @ ( X0 @ X18 @ X17 ) @ X17 )
          = X17 )
      & ! [X19: a,X20: a] :
          ( ( X0 @ X20 @ X19 )
          = ( X0 @ X19 @ X20 ) )
      & ? [X21: a,X22: a,X23: a,X24: a,X25: a] :
          ( ( ( X1 @ X23 @ X22 )
            = X23 )
          & ( X22 != X24 )
          & ( ( X0 @ X21 @ X25 )
            = X22 )
          & ( ( X0 @ X23 @ X24 )
            = X24 )
          & ( ( X1 @ X23 @ X25 )
            = X23 )
          & ( ( X0 @ X25 @ X22 )
            = X22 )
          & ( ( X0 @ X21 @ X22 )
            = X22 )
          & ( X21 != X25 )
          & ( X24 != X25 )
          & ( ( X1 @ X24 @ X21 )
            = X23 )
          & ( ( X1 @ X21 @ X22 )
            = X21 )
          & ( X23 != X24 )
          & ( ( X0 @ X23 @ X22 )
            = X22 )
          & ( X21 != X22 )
          & ( ( X0 @ X23 @ X25 )
            = X25 )
          & ( X21 != X24 )
          & ( ( X1 @ X23 @ X21 )
            = X23 )
          & ( X22 != X23 )
          & ( ( X1 @ X25 @ X22 )
            = X25 )
          & ( ( X0 @ X24 @ X25 )
            = X22 )
          & ( X21 != X23 )
          & ( ( X0 @ X24 @ X21 )
            = X22 )
          & ( ( X1 @ X24 @ X25 )
            = X23 )
          & ( X22 != X25 )
          & ( ( X1 @ X21 @ X25 )
            = X23 )
          & ( ( X1 @ X23 @ X24 )
            = X23 )
          & ( ( X0 @ X23 @ X21 )
            = X21 )
          & ( ( X1 @ X24 @ X22 )
            = X24 )
          & ( X23 != X25 )
          & ( ( X0 @ X24 @ X22 )
            = X22 ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,plain,
    ? [X0: a > a > a,X1: a > a > a] :
      ( ! [X3: a,X2: a] :
          ( ( X1 @ X2 @ X3 )
          = ( X1 @ X3 @ X2 ) )
      & ! [X10: a,X9: a,X8: a] :
          ( ( X1 @ X9 @ ( X1 @ X8 @ X10 ) )
          = ( X1 @ ( X1 @ X9 @ X8 ) @ X10 ) )
      & ! [X7: a,X6: a] :
          ( ( X0 @ ( X1 @ X7 @ X6 ) @ X6 )
          = X6 )
      & ! [X17: a] :
          ( ( X1 @ X17 @ X17 )
          = X17 )
      & ! [X13: a,X15: a,X14: a] :
          ( ( X0 @ X15 @ ( X0 @ X13 @ X14 ) )
          = ( X0 @ ( X0 @ X15 @ X13 ) @ X14 ) )
      & ! [X24: a,X25: a,X23: a] :
          ( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X23 ) )
          = ( X0 @ X24 @ ( X1 @ X25 @ X23 ) ) )
      & ! [X16: a] :
          ( ( X0 @ X16 @ X16 )
          = X16 )
      & ! [X5: a,X4: a] :
          ( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
          = X5 )
      & ! [X11: a,X12: a] :
          ( ( X0 @ X11 @ X12 )
          = ( X0 @ X12 @ X11 ) )
      & ? [X18: a,X19: a,X22: a,X20: a,X21: a] :
          ( ( ( X1 @ X22 @ X19 )
            = X22 )
          & ( X19 != X20 )
          & ( ( X0 @ X18 @ X21 )
            = X19 )
          & ( ( X0 @ X22 @ X20 )
            = X20 )
          & ( ( X1 @ X22 @ X21 )
            = X22 )
          & ( ( X0 @ X21 @ X19 )
            = X19 )
          & ( ( X0 @ X18 @ X19 )
            = X19 )
          & ( X18 != X21 )
          & ( X20 != X21 )
          & ( ( X1 @ X20 @ X18 )
            = X22 )
          & ( ( X1 @ X18 @ X19 )
            = X18 )
          & ( X20 != X22 )
          & ( ( X0 @ X22 @ X19 )
            = X19 )
          & ( X18 != X19 )
          & ( ( X0 @ X22 @ X21 )
            = X21 )
          & ( X18 != X20 )
          & ( ( X1 @ X22 @ X18 )
            = X22 )
          & ( X19 != X22 )
          & ( ( X1 @ X21 @ X19 )
            = X21 )
          & ( ( X0 @ X20 @ X21 )
            = X19 )
          & ( X18 != X22 )
          & ( ( X0 @ X20 @ X18 )
            = X19 )
          & ( ( X1 @ X20 @ X21 )
            = X22 )
          & ( X19 != X21 )
          & ( ( X1 @ X18 @ X21 )
            = X22 )
          & ( ( X1 @ X22 @ X20 )
            = X22 )
          & ( ( X0 @ X22 @ X18 )
            = X18 )
          & ( ( X1 @ X20 @ X19 )
            = X20 )
          & ( X21 != X22 )
          & ( ( X0 @ X20 @ X19 )
            = X19 ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ? [X0: a > a > a,X1: a > a > a] :
      ( ! [X24: a,X25: a,X23: a] :
          ( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X23 ) )
          = ( X0 @ X24 @ ( X1 @ X25 @ X23 ) ) )
      & ? [X18: a,X19: a,X22: a,X20: a,X21: a] :
          ( ( ( X1 @ X22 @ X19 )
            = X22 )
          & ( X19 != X20 )
          & ( ( X0 @ X18 @ X21 )
            = X19 )
          & ( ( X0 @ X22 @ X20 )
            = X20 )
          & ( ( X1 @ X22 @ X21 )
            = X22 )
          & ( ( X0 @ X21 @ X19 )
            = X19 )
          & ( ( X0 @ X18 @ X19 )
            = X19 )
          & ( X18 != X21 )
          & ( X20 != X21 )
          & ( ( X1 @ X20 @ X18 )
            = X22 )
          & ( ( X1 @ X18 @ X19 )
            = X18 )
          & ( X20 != X22 )
          & ( ( X0 @ X22 @ X19 )
            = X19 )
          & ( X18 != X19 )
          & ( ( X0 @ X22 @ X21 )
            = X21 )
          & ( X18 != X20 )
          & ( ( X1 @ X22 @ X18 )
            = X22 )
          & ( X19 != X22 )
          & ( ( X1 @ X21 @ X19 )
            = X21 )
          & ( ( X0 @ X20 @ X21 )
            = X19 )
          & ( X18 != X22 )
          & ( ( X0 @ X20 @ X18 )
            = X19 )
          & ( ( X1 @ X20 @ X21 )
            = X22 )
          & ( X19 != X21 )
          & ( ( X1 @ X18 @ X21 )
            = X22 )
          & ( ( X1 @ X22 @ X20 )
            = X22 )
          & ( ( X0 @ X22 @ X18 )
            = X18 )
          & ( ( X1 @ X20 @ X19 )
            = X20 )
          & ( X21 != X22 )
          & ( ( X0 @ X20 @ X19 )
            = X19 ) )
      & ! [X10: a,X9: a,X8: a] :
          ( ( X1 @ X9 @ ( X1 @ X8 @ X10 ) )
          = ( X1 @ ( X1 @ X9 @ X8 ) @ X10 ) )
      & ! [X7: a,X6: a] :
          ( ( X0 @ ( X1 @ X7 @ X6 ) @ X6 )
          = X6 )
      & ! [X5: a,X4: a] :
          ( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
          = X5 )
      & ! [X17: a] :
          ( ( X1 @ X17 @ X17 )
          = X17 )
      & ! [X16: a] :
          ( ( X0 @ X16 @ X16 )
          = X16 )
      & ! [X3: a,X2: a] :
          ( ( X1 @ X2 @ X3 )
          = ( X1 @ X3 @ X2 ) )
      & ! [X13: a,X15: a,X14: a] :
          ( ( X0 @ X15 @ ( X0 @ X13 @ X14 ) )
          = ( X0 @ ( X0 @ X15 @ X13 ) @ X14 ) )
      & ! [X11: a,X12: a] :
          ( ( X0 @ X11 @ X12 )
          = ( X0 @ X12 @ X11 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > a > a,X1: a > a > a] :
        ( ( ! [X10: a,X9: a,X8: a] :
              ( ( X1 @ X9 @ ( X1 @ X8 @ X10 ) )
              = ( X1 @ ( X1 @ X9 @ X8 ) @ X10 ) )
          & ! [X7: a,X6: a] :
              ( ( X0 @ ( X1 @ X7 @ X6 ) @ X6 )
              = X6 )
          & ! [X5: a,X4: a] :
              ( ( X1 @ ( X0 @ X4 @ X5 ) @ X5 )
              = X5 )
          & ! [X17: a] :
              ( ( X1 @ X17 @ X17 )
              = X17 )
          & ! [X16: a] :
              ( ( X0 @ X16 @ X16 )
              = X16 )
          & ! [X3: a,X2: a] :
              ( ( X1 @ X2 @ X3 )
              = ( X1 @ X3 @ X2 ) )
          & ! [X13: a,X15: a,X14: a] :
              ( ( X0 @ X15 @ ( X0 @ X13 @ X14 ) )
              = ( X0 @ ( X0 @ X15 @ X13 ) @ X14 ) )
          & ! [X11: a,X12: a] :
              ( ( X0 @ X11 @ X12 )
              = ( X0 @ X12 @ X11 ) ) )
       => ( ? [X18: a,X19: a,X22: a,X20: a,X21: a] :
              ( ( ( X1 @ X22 @ X19 )
                = X22 )
              & ( X19 != X20 )
              & ( ( X0 @ X18 @ X21 )
                = X19 )
              & ( ( X0 @ X22 @ X20 )
                = X20 )
              & ( ( X1 @ X22 @ X21 )
                = X22 )
              & ( ( X0 @ X21 @ X19 )
                = X19 )
              & ( ( X0 @ X18 @ X19 )
                = X19 )
              & ( X18 != X21 )
              & ( X20 != X21 )
              & ( ( X1 @ X20 @ X18 )
                = X22 )
              & ( ( X1 @ X18 @ X19 )
                = X18 )
              & ( X20 != X22 )
              & ( ( X0 @ X22 @ X19 )
                = X19 )
              & ( X18 != X19 )
              & ( ( X0 @ X22 @ X21 )
                = X21 )
              & ( X18 != X20 )
              & ( ( X1 @ X22 @ X18 )
                = X22 )
              & ( X19 != X22 )
              & ( ( X1 @ X21 @ X19 )
                = X21 )
              & ( ( X0 @ X20 @ X21 )
                = X19 )
              & ( X18 != X22 )
              & ( ( X0 @ X20 @ X18 )
                = X19 )
              & ( ( X1 @ X20 @ X21 )
                = X22 )
              & ( X19 != X21 )
              & ( ( X1 @ X18 @ X21 )
                = X22 )
              & ( ( X1 @ X22 @ X20 )
                = X22 )
              & ( ( X0 @ X22 @ X18 )
                = X18 )
              & ( ( X1 @ X20 @ X19 )
                = X20 )
              & ( X21 != X22 )
              & ( ( X0 @ X20 @ X19 )
                = X19 ) )
         => ~ ! [X24: a,X25: a,X23: a] :
                ( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X23 ) )
                = ( X0 @ X24 @ ( X1 @ X25 @ X23 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X1: a > a > a,X0: a > a > a] :
        ( ( ! [X3: a,X2: a] :
              ( ( X0 @ X2 @ X3 )
              = ( X0 @ X3 @ X2 ) )
          & ! [X2: a,X3: a] :
              ( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
              = X3 )
          & ! [X3: a,X2: a] :
              ( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
              = X3 )
          & ! [X3: a,X2: a,X4: a] :
              ( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
              = ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
          & ! [X3: a,X2: a] :
              ( ( X1 @ X2 @ X3 )
              = ( X1 @ X3 @ X2 ) )
          & ! [X3: a,X4: a,X2: a] :
              ( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
              = ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
          & ! [X2: a] :
              ( ( X1 @ X2 @ X2 )
              = X2 )
          & ! [X2: a] :
              ( ( X0 @ X2 @ X2 )
              = X2 ) )
       => ( ? [X6: a,X3: a,X5: a,X7: a,X2: a] :
              ( ( X3 != X5 )
              & ( X5 != X6 )
              & ( ( X0 @ X2 @ X5 )
                = X2 )
              & ( X2 != X3 )
              & ( ( X0 @ X7 @ X3 )
                = X7 )
              & ( X6 != X7 )
              & ( ( X0 @ X5 @ X7 )
                = X2 )
              & ( ( X0 @ X2 @ X3 )
                = X2 )
              & ( ( X0 @ X6 @ X3 )
                = X6 )
              & ( ( X1 @ X2 @ X5 )
                = X5 )
              & ( X2 != X6 )
              & ( ( X1 @ X5 @ X7 )
                = X3 )
              & ( X3 != X6 )
              & ( ( X0 @ X5 @ X6 )
                = X2 )
              & ( ( X0 @ X2 @ X7 )
                = X2 )
              & ( X2 != X7 )
              & ( ( X1 @ X5 @ X3 )
                = X3 )
              & ( ( X1 @ X2 @ X3 )
                = X3 )
              & ( ( X1 @ X7 @ X3 )
                = X3 )
              & ( X2 != X5 )
              & ( ( X1 @ X6 @ X7 )
                = X3 )
              & ( ( X1 @ X5 @ X6 )
                = X3 )
              & ( X3 != X7 )
              & ( ( X1 @ X2 @ X6 )
                = X6 )
              & ( ( X0 @ X5 @ X3 )
                = X5 )
              & ( X5 != X7 )
              & ( ( X1 @ X6 @ X3 )
                = X3 )
              & ( ( X0 @ X2 @ X6 )
                = X2 )
              & ( ( X0 @ X6 @ X7 )
                = X2 )
              & ( ( X1 @ X2 @ X7 )
                = X7 ) )
         => ~ ! [X4: a,X2: a,X3: a] :
                ( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
                = ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X1: a > a > a,X0: a > a > a] :
      ( ( ! [X3: a,X2: a] :
            ( ( X0 @ X2 @ X3 )
            = ( X0 @ X3 @ X2 ) )
        & ! [X2: a,X3: a] :
            ( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
            = X3 )
        & ! [X3: a,X2: a] :
            ( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
            = X3 )
        & ! [X3: a,X2: a,X4: a] :
            ( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
            = ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
        & ! [X3: a,X2: a] :
            ( ( X1 @ X2 @ X3 )
            = ( X1 @ X3 @ X2 ) )
        & ! [X3: a,X4: a,X2: a] :
            ( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
            = ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
        & ! [X2: a] :
            ( ( X1 @ X2 @ X2 )
            = X2 )
        & ! [X2: a] :
            ( ( X0 @ X2 @ X2 )
            = X2 ) )
     => ( ? [X6: a,X3: a,X5: a,X7: a,X2: a] :
            ( ( X3 != X5 )
            & ( X5 != X6 )
            & ( ( X0 @ X2 @ X5 )
              = X2 )
            & ( X2 != X3 )
            & ( ( X0 @ X7 @ X3 )
              = X7 )
            & ( X6 != X7 )
            & ( ( X0 @ X5 @ X7 )
              = X2 )
            & ( ( X0 @ X2 @ X3 )
              = X2 )
            & ( ( X0 @ X6 @ X3 )
              = X6 )
            & ( ( X1 @ X2 @ X5 )
              = X5 )
            & ( X2 != X6 )
            & ( ( X1 @ X5 @ X7 )
              = X3 )
            & ( X3 != X6 )
            & ( ( X0 @ X5 @ X6 )
              = X2 )
            & ( ( X0 @ X2 @ X7 )
              = X2 )
            & ( X2 != X7 )
            & ( ( X1 @ X5 @ X3 )
              = X3 )
            & ( ( X1 @ X2 @ X3 )
              = X3 )
            & ( ( X1 @ X7 @ X3 )
              = X3 )
            & ( X2 != X5 )
            & ( ( X1 @ X6 @ X7 )
              = X3 )
            & ( ( X1 @ X5 @ X6 )
              = X3 )
            & ( X3 != X7 )
            & ( ( X1 @ X2 @ X6 )
              = X6 )
            & ( ( X0 @ X5 @ X3 )
              = X5 )
            & ( X5 != X7 )
            & ( ( X1 @ X6 @ X3 )
              = X3 )
            & ( ( X0 @ X2 @ X6 )
              = X2 )
            & ( ( X0 @ X6 @ X7 )
              = X2 )
            & ( ( X1 @ X2 @ X7 )
              = X7 ) )
       => ~ ! [X4: a,X2: a,X3: a] :
              ( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
              = ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_DIAMOND_THM_pme) ).

thf(f39,plain,
    sK3 != sK5,
    inference(cnf_transformation,[],[f10]) ).

thf(f1243,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = sK5 ),
    inference(forward_demodulation,[],[f1242,f88]) ).

thf(f88,plain,
    ! [X0: a,X1: a] :
      ( ( sK0 @ X1 @ ( sK1 @ X0 @ X1 ) )
      = X1 ),
    inference(superposition,[],[f41,f47]) ).

thf(f47,plain,
    ! [X8: a,X7: a] :
      ( ( sK0 @ ( sK1 @ X7 @ X8 ) @ X8 )
      = X8 ),
    inference(cnf_transformation,[],[f10]) ).

thf(f41,plain,
    ! [X19: a,X20: a] :
      ( ( sK0 @ X20 @ X19 )
      = ( sK0 @ X19 @ X20 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f1242,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = ( sK0 @ sK5 @ ( sK1 @ sK2 @ sK5 ) ) ),
    inference(forward_demodulation,[],[f1241,f78]) ).

thf(f78,plain,
    ( ( sK1 @ sK2 @ sK5 )
    = ( sK1 @ sK2 @ sK6 ) ),
    inference(forward_demodulation,[],[f69,f49]) ).

thf(f49,plain,
    ! [X2: a,X3: a] :
      ( ( sK1 @ X2 @ X3 )
      = ( sK1 @ X3 @ X2 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f69,plain,
    ( ( sK1 @ sK2 @ sK6 )
    = ( sK1 @ sK5 @ sK2 ) ),
    inference(definition_unfolding,[],[f16,f31]) ).

thf(f31,plain,
    ( ( sK1 @ sK5 @ sK2 )
    = sK4 ),
    inference(cnf_transformation,[],[f10]) ).

thf(f16,plain,
    ( ( sK1 @ sK2 @ sK6 )
    = sK4 ),
    inference(cnf_transformation,[],[f10]) ).

thf(f1241,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = ( sK0 @ sK5 @ ( sK1 @ sK2 @ sK6 ) ) ),
    inference(forward_demodulation,[],[f1240,f49]) ).

thf(f1240,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK2 ) ) ),
    inference(forward_demodulation,[],[f1235,f64]) ).

thf(f64,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = ( sK0 @ sK5 @ sK6 ) ),
    inference(definition_unfolding,[],[f21,f38]) ).

thf(f21,plain,
    ( sK3
    = ( sK0 @ sK5 @ sK6 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f1235,plain,
    ( ( sK0 @ sK5 @ ( sK1 @ sK6 @ sK2 ) )
    = ( sK0 @ sK5 @ sK6 ) ),
    inference(superposition,[],[f450,f46]) ).

thf(f46,plain,
    ! [X9: a] :
      ( ( sK1 @ X9 @ X9 )
      = X9 ),
    inference(cnf_transformation,[],[f10]) ).

thf(f450,plain,
    ! [X0: a] :
      ( ( sK0 @ sK5 @ ( sK1 @ X0 @ sK6 ) )
      = ( sK0 @ sK5 @ ( sK1 @ X0 @ sK2 ) ) ),
    inference(forward_demodulation,[],[f449,f428]) ).

thf(f428,plain,
    ! [X0: a] :
      ( ( sK0 @ sK5 @ ( sK1 @ X0 @ sK2 ) )
      = ( sK1 @ ( sK0 @ sK5 @ X0 ) @ ( sK0 @ sK2 @ sK5 ) ) ),
    inference(forward_demodulation,[],[f391,f122]) ).

thf(f122,plain,
    ( ( sK0 @ sK2 @ sK6 )
    = ( sK0 @ sK2 @ sK5 ) ),
    inference(superposition,[],[f41,f66]) ).

thf(f66,plain,
    ( ( sK0 @ sK5 @ sK2 )
    = ( sK0 @ sK2 @ sK6 ) ),
    inference(definition_unfolding,[],[f19,f38]) ).

thf(f19,plain,
    ( ( sK0 @ sK5 @ sK2 )
    = sK3 ),
    inference(cnf_transformation,[],[f10]) ).

thf(f391,plain,
    ! [X0: a] :
      ( ( sK1 @ ( sK0 @ sK5 @ X0 ) @ ( sK0 @ sK2 @ sK6 ) )
      = ( sK0 @ sK5 @ ( sK1 @ X0 @ sK2 ) ) ),
    inference(superposition,[],[f44,f66]) ).

thf(f44,plain,
    ! [X14: a,X15: a,X13: a] :
      ( ( sK1 @ ( sK0 @ X13 @ X14 ) @ ( sK0 @ X13 @ X15 ) )
      = ( sK0 @ X13 @ ( sK1 @ X14 @ X15 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f449,plain,
    ! [X0: a] :
      ( ( sK0 @ sK5 @ ( sK1 @ X0 @ sK6 ) )
      = ( sK1 @ ( sK0 @ sK5 @ X0 ) @ ( sK0 @ sK2 @ sK5 ) ) ),
    inference(forward_demodulation,[],[f390,f122]) ).

thf(f390,plain,
    ! [X0: a] :
      ( ( sK1 @ ( sK0 @ sK5 @ X0 ) @ ( sK0 @ sK2 @ sK6 ) )
      = ( sK0 @ sK5 @ ( sK1 @ X0 @ sK6 ) ) ),
    inference(superposition,[],[f44,f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU998^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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   : Sun May 19 17:10:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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
% 0.15/0.38  % (21117)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)
% 0.15/0.38  % (21110)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38  % (21112)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)
% 0.15/0.38  % (21114)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)
% 0.15/0.38  % (21115)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)
% 0.15/0.38  % (21113)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38  % (21111)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)
% 0.15/0.38  % (21116)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38  % (21113)Instruction limit reached!
% 0.15/0.38  % (21113)------------------------------
% 0.15/0.38  % (21113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (21113)Termination reason: Unknown
% 0.15/0.38  % (21113)Termination phase: Preprocessing 3
% 0.15/0.38  
% 0.15/0.38  % (21113)Memory used [KB]: 1023
% 0.15/0.38  % (21113)Time elapsed: 0.003 s
% 0.15/0.38  % (21113)Instructions burned: 2 (million)
% 0.15/0.38  % (21113)------------------------------
% 0.15/0.38  % (21113)------------------------------
% 0.15/0.38  % (21114)Instruction limit reached!
% 0.15/0.38  % (21114)------------------------------
% 0.15/0.38  % (21114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (21114)Termination reason: Unknown
% 0.15/0.38  % (21114)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (21114)Memory used [KB]: 1023
% 0.15/0.38  % (21114)Time elapsed: 0.003 s
% 0.15/0.38  % (21114)Instructions burned: 2 (million)
% 0.15/0.38  % (21114)------------------------------
% 0.15/0.38  % (21114)------------------------------
% 0.15/0.38  % (21117)Instruction limit reached!
% 0.15/0.38  % (21117)------------------------------
% 0.15/0.38  % (21117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (21117)Termination reason: Unknown
% 0.15/0.38  % (21117)Termination phase: Property scanning
% 0.15/0.38  
% 0.15/0.38  % (21117)Memory used [KB]: 1023
% 0.15/0.38  % (21117)Time elapsed: 0.004 s
% 0.15/0.38  % (21117)Instructions burned: 4 (million)
% 0.15/0.38  % (21117)------------------------------
% 0.15/0.38  % (21117)------------------------------
% 0.15/0.38  % (21111)Instruction limit reached!
% 0.15/0.38  % (21111)------------------------------
% 0.15/0.38  % (21111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (21111)Termination reason: Unknown
% 0.15/0.38  % (21111)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (21111)Memory used [KB]: 1023
% 0.15/0.38  % (21111)Time elapsed: 0.004 s
% 0.15/0.38  % (21111)Instructions burned: 5 (million)
% 0.15/0.38  % (21111)------------------------------
% 0.15/0.38  % (21111)------------------------------
% 0.15/0.39  % (21116)Instruction limit reached!
% 0.15/0.39  % (21116)------------------------------
% 0.15/0.39  % (21116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (21116)Termination reason: Unknown
% 0.15/0.39  % (21116)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (21116)Memory used [KB]: 5628
% 0.15/0.39  % (21116)Time elapsed: 0.014 s
% 0.15/0.39  % (21116)Instructions burned: 19 (million)
% 0.15/0.39  % (21116)------------------------------
% 0.15/0.39  % (21116)------------------------------
% 0.15/0.39  % (21120)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)
% 0.15/0.39  % (21118)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)
% 0.15/0.39  % (21119)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)
% 0.15/0.39  % (21120)Instruction limit reached!
% 0.15/0.39  % (21120)------------------------------
% 0.15/0.39  % (21120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (21120)Termination reason: Unknown
% 0.15/0.39  % (21120)Termination phase: Preprocessing 3
% 0.15/0.39  
% 0.15/0.39  % (21120)Memory used [KB]: 1023
% 0.15/0.39  % (21120)Time elapsed: 0.003 s
% 0.15/0.40  % (21120)Instructions burned: 3 (million)
% 0.15/0.40  % (21120)------------------------------
% 0.15/0.40  % (21120)------------------------------
% 0.15/0.40  % (21121)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  % (21112)Instruction limit reached!
% 0.22/0.40  % (21112)------------------------------
% 0.22/0.40  % (21112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (21112)Termination reason: Unknown
% 0.22/0.40  % (21112)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (21112)Memory used [KB]: 5628
% 0.22/0.40  % (21112)Time elapsed: 0.021 s
% 0.22/0.40  % (21112)Instructions burned: 28 (million)
% 0.22/0.40  % (21112)------------------------------
% 0.22/0.40  % (21112)------------------------------
% 0.22/0.40  % (21119)Instruction limit reached!
% 0.22/0.40  % (21119)------------------------------
% 0.22/0.40  % (21119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (21119)Termination reason: Unknown
% 0.22/0.40  % (21119)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (21119)Memory used [KB]: 5756
% 0.22/0.40  % (21119)Time elapsed: 0.012 s
% 0.22/0.40  % (21119)Instructions burned: 15 (million)
% 0.22/0.40  % (21119)------------------------------
% 0.22/0.40  % (21119)------------------------------
% 0.22/0.41  % (21122)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41  % (21123)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  % (21122)Instruction limit reached!
% 0.22/0.41  % (21122)------------------------------
% 0.22/0.41  % (21122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (21122)Termination reason: Unknown
% 0.22/0.41  % (21122)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (21122)Memory used [KB]: 1023
% 0.22/0.41  % (21122)Time elapsed: 0.006 s
% 0.22/0.41  % (21122)Instructions burned: 7 (million)
% 0.22/0.41  % (21122)------------------------------
% 0.22/0.41  % (21122)------------------------------
% 0.22/0.41  % (21118)Instruction limit reached!
% 0.22/0.41  % (21118)------------------------------
% 0.22/0.41  % (21118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (21118)Termination reason: Unknown
% 0.22/0.41  % (21118)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (21118)Memory used [KB]: 5756
% 0.22/0.41  % (21118)Time elapsed: 0.021 s
% 0.22/0.41  % (21118)Instructions burned: 37 (million)
% 0.22/0.41  % (21118)------------------------------
% 0.22/0.41  % (21118)------------------------------
% 0.22/0.41  % (21124)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)
% 0.22/0.42  % (21124)Instruction limit reached!
% 0.22/0.42  % (21124)------------------------------
% 0.22/0.42  % (21124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (21124)Termination reason: Unknown
% 0.22/0.42  % (21124)Termination phase: Preprocessing 3
% 0.22/0.42  
% 0.22/0.42  % (21124)Memory used [KB]: 1023
% 0.22/0.42  % (21124)Time elapsed: 0.004 s
% 0.22/0.42  % (21124)Instructions burned: 4 (million)
% 0.22/0.42  % (21124)------------------------------
% 0.22/0.42  % (21124)------------------------------
% 0.22/0.42  % (21123)Instruction limit reached!
% 0.22/0.42  % (21123)------------------------------
% 0.22/0.42  % (21123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (21123)Termination reason: Unknown
% 0.22/0.42  % (21123)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (21123)Memory used [KB]: 5884
% 0.22/0.42  % (21123)Time elapsed: 0.011 s
% 0.22/0.42  % (21123)Instructions burned: 17 (million)
% 0.22/0.42  % (21123)------------------------------
% 0.22/0.42  % (21123)------------------------------
% 0.22/0.42  % (21125)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)
% 0.22/0.42  % (21125)Instruction limit reached!
% 0.22/0.42  % (21125)------------------------------
% 0.22/0.42  % (21125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (21125)Termination reason: Unknown
% 0.22/0.42  % (21125)Termination phase: Preprocessing 3
% 0.22/0.42  
% 0.22/0.42  % (21125)Memory used [KB]: 1023
% 0.22/0.42  % (21125)Time elapsed: 0.004 s
% 0.22/0.42  % (21125)Instructions burned: 3 (million)
% 0.22/0.42  % (21125)------------------------------
% 0.22/0.42  % (21125)------------------------------
% 0.22/0.42  % (21126)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)
% 0.22/0.43  % (21127)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)
% 0.22/0.43  % (21126)Instruction limit reached!
% 0.22/0.43  % (21126)------------------------------
% 0.22/0.43  % (21126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (21126)Termination reason: Unknown
% 0.22/0.43  % (21126)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (21126)Memory used [KB]: 5500
% 0.22/0.43  % (21126)Time elapsed: 0.006 s
% 0.22/0.43  % (21126)Instructions burned: 7 (million)
% 0.22/0.43  % (21126)------------------------------
% 0.22/0.43  % (21126)------------------------------
% 0.22/0.43  % (21127)Instruction limit reached!
% 0.22/0.43  % (21127)------------------------------
% 0.22/0.43  % (21127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (21127)Termination reason: Unknown
% 0.22/0.43  % (21127)Termination phase: Property scanning
% 0.22/0.43  
% 0.22/0.43  % (21127)Memory used [KB]: 1023
% 0.22/0.43  % (21127)Time elapsed: 0.004 s
% 0.22/0.43  % (21127)Instructions burned: 4 (million)
% 0.22/0.43  % (21127)------------------------------
% 0.22/0.43  % (21127)------------------------------
% 0.22/0.43  % (21129)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)
% 0.22/0.43  % (21128)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.43  % (21128)Instruction limit reached!
% 0.22/0.43  % (21128)------------------------------
% 0.22/0.43  % (21128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (21128)Termination reason: Unknown
% 0.22/0.43  % (21128)Termination phase: Function definition elimination
% 0.22/0.43  
% 0.22/0.43  % (21128)Memory used [KB]: 1023
% 0.22/0.43  % (21128)Time elapsed: 0.004 s
% 0.22/0.43  % (21128)Instructions burned: 4 (million)
% 0.22/0.43  % (21128)------------------------------
% 0.22/0.43  % (21128)------------------------------
% 0.22/0.44  % (21130)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.44  % (21129)Instruction limit reached!
% 0.22/0.44  % (21129)------------------------------
% 0.22/0.44  % (21129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (21129)Termination reason: Unknown
% 0.22/0.44  % (21129)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (21129)Memory used [KB]: 5628
% 0.22/0.44  % (21129)Time elapsed: 0.010 s
% 0.22/0.44  % (21129)Instructions burned: 21 (million)
% 0.22/0.44  % (21129)------------------------------
% 0.22/0.44  % (21129)------------------------------
% 0.22/0.44  % (21131)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44  % (21132)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)
% 0.22/0.45  % (21131)Instruction limit reached!
% 0.22/0.45  % (21131)------------------------------
% 0.22/0.45  % (21131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (21131)Termination reason: Unknown
% 0.22/0.45  % (21131)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (21131)Memory used [KB]: 5500
% 0.22/0.45  % (21131)Time elapsed: 0.005 s
% 0.22/0.45  % (21131)Instructions burned: 6 (million)
% 0.22/0.45  % (21131)------------------------------
% 0.22/0.45  % (21131)------------------------------
% 0.22/0.45  % (21134)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.45  % (21133)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)
% 0.22/0.45  % (21134)Instruction limit reached!
% 0.22/0.45  % (21134)------------------------------
% 0.22/0.45  % (21134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (21134)Termination reason: Unknown
% 0.22/0.45  % (21134)Termination phase: Property scanning
% 0.22/0.45  
% 0.22/0.45  % (21134)Memory used [KB]: 1023
% 0.22/0.45  % (21134)Time elapsed: 0.003 s
% 0.22/0.45  % (21134)Instructions burned: 7 (million)
% 0.22/0.45  % (21134)------------------------------
% 0.22/0.45  % (21134)------------------------------
% 0.22/0.46  % (21137)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46  % (21135)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)
% 0.22/0.46  % (21133)Instruction limit reached!
% 0.22/0.46  % (21133)------------------------------
% 0.22/0.46  % (21133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (21133)Termination reason: Unknown
% 0.22/0.46  % (21133)Termination phase: Saturation
% 0.22/0.46  
% 0.22/0.46  % (21133)Memory used [KB]: 5756
% 0.22/0.46  % (21133)Time elapsed: 0.016 s
% 0.22/0.46  % (21133)Instructions burned: 21 (million)
% 0.22/0.46  % (21133)------------------------------
% 0.22/0.46  % (21133)------------------------------
% 0.22/0.46  % (21135)Instruction limit reached!
% 0.22/0.46  % (21135)------------------------------
% 0.22/0.46  % (21135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (21135)Termination reason: Unknown
% 0.22/0.46  % (21135)Termination phase: Property scanning
% 0.22/0.46  
% 0.22/0.46  % (21135)Memory used [KB]: 1023
% 0.22/0.46  % (21135)Time elapsed: 0.005 s
% 0.22/0.46  % (21135)Instructions burned: 7 (million)
% 0.22/0.46  % (21135)------------------------------
% 0.22/0.46  % (21135)------------------------------
% 0.22/0.48  % (21138)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)
% 0.22/0.48  % (21139)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)
% 0.22/0.48  % (21139)Instruction limit reached!
% 0.22/0.48  % (21139)------------------------------
% 0.22/0.48  % (21139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (21139)Termination reason: Unknown
% 0.22/0.48  % (21139)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (21139)Memory used [KB]: 5628
% 0.22/0.48  % (21139)Time elapsed: 0.008 s
% 0.22/0.48  % (21139)Instructions burned: 19 (million)
% 0.22/0.48  % (21139)------------------------------
% 0.22/0.48  % (21139)------------------------------
% 0.22/0.49  % (21110)Instruction limit reached!
% 0.22/0.49  % (21110)------------------------------
% 0.22/0.49  % (21110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (21110)Termination reason: Unknown
% 0.22/0.49  % (21110)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (21110)Memory used [KB]: 6908
% 0.22/0.49  % (21110)Time elapsed: 0.114 s
% 0.22/0.49  % (21110)Instructions burned: 183 (million)
% 0.22/0.49  % (21110)------------------------------
% 0.22/0.49  % (21110)------------------------------
% 0.22/0.49  % (21140)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50  % (21141)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51  % (21141)Instruction limit reached!
% 0.22/0.51  % (21141)------------------------------
% 0.22/0.51  % (21141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51  % (21141)Termination reason: Unknown
% 0.22/0.51  % (21141)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (21141)Memory used [KB]: 5756
% 0.22/0.51  % (21141)Time elapsed: 0.009 s
% 0.22/0.51  % (21141)Instructions burned: 19 (million)
% 0.22/0.51  % (21141)------------------------------
% 0.22/0.51  % (21141)------------------------------
% 0.22/0.52  % (21142)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52  % (21142)Instruction limit reached!
% 0.22/0.52  % (21142)------------------------------
% 0.22/0.52  % (21142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52  % (21142)Termination reason: Unknown
% 0.22/0.52  % (21142)Termination phase: Preprocessing 3
% 0.22/0.52  
% 0.22/0.52  % (21142)Memory used [KB]: 1023
% 0.22/0.52  % (21142)Time elapsed: 0.002 s
% 0.22/0.52  % (21142)Instructions burned: 3 (million)
% 0.22/0.52  % (21142)------------------------------
% 0.22/0.52  % (21142)------------------------------
% 0.22/0.53  % (21143)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.54  % (21143)Instruction limit reached!
% 0.22/0.54  % (21143)------------------------------
% 0.22/0.54  % (21143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54  % (21143)Termination reason: Unknown
% 0.22/0.54  % (21143)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (21143)Memory used [KB]: 5628
% 0.22/0.54  % (21143)Time elapsed: 0.012 s
% 0.22/0.54  % (21143)Instructions burned: 30 (million)
% 0.22/0.54  % (21143)------------------------------
% 0.22/0.54  % (21143)------------------------------
% 0.22/0.55  % (21144)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 (2998ds/127Mi)
% 0.22/0.56  % (21115)First to succeed.
% 0.22/0.57  % (21115)Refutation found. Thanks to Tanya!
% 0.22/0.57  % SZS status Theorem for theBenchmark
% 0.22/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.57  % (21115)------------------------------
% 0.22/0.57  % (21115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57  % (21115)Termination reason: Refutation
% 0.22/0.57  
% 0.22/0.57  % (21115)Memory used [KB]: 6396
% 0.22/0.57  % (21115)Time elapsed: 0.187 s
% 0.22/0.57  % (21115)Instructions burned: 274 (million)
% 0.22/0.57  % (21115)------------------------------
% 0.22/0.57  % (21115)------------------------------
% 0.22/0.57  % (21109)Success in time 0.198 s
% 0.22/0.57  % Vampire---4.8 exiting
%------------------------------------------------------------------------------