TSTP Solution File: SEU997^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU997^5 : 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 : n028.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 0.58s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   53 (  33 unt;  10 typ;   0 def)
%            Number of atoms       :  236 ( 235 equ;   0 cnn)
%            Maximal formula atoms :   42 (   5 avg)
%            Number of connectives : 1036 (  11   ~;   0   |; 184   &; 832   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  328 (   0   ^ 285   !;  43   ?; 328   :)

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

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

thf(func_def_4,type,
    sK0: a ).

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

thf(func_def_6,type,
    sK2: a > a > a ).

thf(func_def_7,type,
    sK3: a ).

thf(func_def_8,type,
    sK4: a > a ).

thf(func_def_9,type,
    sK5: a ).

thf(func_def_10,type,
    sK6: a ).

thf(func_def_11,type,
    sK7: a ).

thf(f852,plain,
    $false,
    inference(subsumption_resolution,[],[f851,f16]) ).

thf(f16,plain,
    sK5 != sK6,
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ! [X4: a,X5: a] :
        ( ( sK2 @ X5 @ X4 )
        = ( sK2 @ X4 @ X5 ) )
    & ! [X6: a,X7: a,X8: a] :
        ( ( sK2 @ X6 @ ( sK2 @ X7 @ X8 ) )
        = ( sK2 @ ( sK2 @ X6 @ X7 ) @ X8 ) )
    & ! [X9: a,X10: a,X11: a] :
        ( ( sK1 @ X9 @ ( sK2 @ X10 @ X11 ) )
        = ( sK2 @ ( sK1 @ X9 @ X10 ) @ ( sK1 @ X9 @ X11 ) ) )
    & ! [X12: a] :
        ( ( sK2 @ X12 @ X12 )
        = X12 )
    & ! [X13: a,X14: a] :
        ( ( sK1 @ ( sK2 @ X13 @ X14 ) @ X14 )
        = X14 )
    & ! [X15: a] :
        ( ( sK1 @ X15 @ X15 )
        = X15 )
    & ! [X16: a] :
        ( sK3
        = ( sK1 @ sK3 @ X16 ) )
    & ! [X17: a,X18: a] :
        ( ( sK2 @ ( sK1 @ X17 @ X18 ) @ X18 )
        = X18 )
    & ! [X19: a] :
        ( ( sK2 @ sK0 @ X19 )
        = sK0 )
    & ! [X20: a,X21: a,X22: a] :
        ( ( sK1 @ X21 @ ( sK1 @ X20 @ X22 ) )
        = ( sK1 @ ( sK1 @ X21 @ X20 ) @ X22 ) )
    & ! [X23: a] :
        ( ( sK1 @ sK0 @ X23 )
        = X23 )
    & ! [X24: a] :
        ( ( sK2 @ sK3 @ X24 )
        = X24 )
    & ! [X25: a] :
        ( ( ( sK2 @ X25 @ ( sK4 @ X25 ) )
          = sK0 )
        & ( sK3
          = ( sK1 @ X25 @ ( sK4 @ X25 ) ) ) )
    & ! [X27: a,X28: a] :
        ( ( sK1 @ X28 @ X27 )
        = ( sK1 @ X27 @ X28 ) )
    & ( sK3
      = ( sK1 @ sK7 @ sK5 ) )
    & ( sK5 != sK6 )
    & ( ( sK2 @ sK7 @ sK5 )
      = sK0 )
    & ( ( sK2 @ sK7 @ sK6 )
      = sK0 )
    & ( sK3
      = ( sK1 @ sK7 @ sK6 ) )
    & ! [X32: a,X33: a,X34: a] :
        ( ( sK1 @ ( sK2 @ X34 @ X33 ) @ ( sK2 @ X34 @ X32 ) )
        = ( sK2 @ X34 @ ( sK1 @ X33 @ X32 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f10,f9,f8]) ).

thf(f8,plain,
    ( ? [X0: a,X1: a > a > a,X2: a > a > a,X3: a] :
        ( ! [X4: a,X5: a] :
            ( ( X2 @ X5 @ X4 )
            = ( X2 @ X4 @ X5 ) )
        & ! [X6: a,X7: a,X8: a] :
            ( ( X2 @ ( X2 @ X6 @ X7 ) @ X8 )
            = ( X2 @ X6 @ ( X2 @ X7 @ X8 ) ) )
        & ! [X9: a,X10: a,X11: a] :
            ( ( X2 @ ( X1 @ X9 @ X10 ) @ ( X1 @ X9 @ X11 ) )
            = ( X1 @ X9 @ ( X2 @ X10 @ X11 ) ) )
        & ! [X12: a] :
            ( ( X2 @ X12 @ X12 )
            = X12 )
        & ! [X13: a,X14: a] :
            ( ( X1 @ ( X2 @ X13 @ X14 ) @ X14 )
            = X14 )
        & ! [X15: a] :
            ( ( X1 @ X15 @ X15 )
            = X15 )
        & ! [X16: a] :
            ( ( X1 @ X3 @ X16 )
            = X3 )
        & ! [X17: a,X18: a] :
            ( ( X2 @ ( X1 @ X17 @ X18 ) @ X18 )
            = X18 )
        & ! [X19: a] :
            ( ( X2 @ X0 @ X19 )
            = X0 )
        & ! [X20: a,X21: a,X22: a] :
            ( ( X1 @ ( X1 @ X21 @ X20 ) @ X22 )
            = ( X1 @ X21 @ ( X1 @ X20 @ X22 ) ) )
        & ! [X23: a] :
            ( ( X1 @ X0 @ X23 )
            = X23 )
        & ! [X24: a] :
            ( ( X2 @ X3 @ X24 )
            = X24 )
        & ! [X25: a] :
          ? [X26: a] :
            ( ( ( X2 @ X25 @ X26 )
              = X0 )
            & ( ( X1 @ X25 @ X26 )
              = X3 ) )
        & ! [X27: a,X28: a] :
            ( ( X1 @ X27 @ X28 )
            = ( X1 @ X28 @ X27 ) )
        & ? [X29: a,X30: a,X31: a] :
            ( ( ( X1 @ X31 @ X29 )
              = X3 )
            & ( X29 != X30 )
            & ( ( X2 @ X31 @ X29 )
              = X0 )
            & ( ( X2 @ X31 @ X30 )
              = X0 )
            & ( ( X1 @ X31 @ X30 )
              = X3 ) )
        & ! [X32: a,X33: a,X34: a] :
            ( ( X1 @ ( X2 @ X34 @ X33 ) @ ( X2 @ X34 @ X32 ) )
            = ( X2 @ X34 @ ( X1 @ X33 @ X32 ) ) ) )
   => ( ! [X5: a,X4: a] :
          ( ( sK2 @ X5 @ X4 )
          = ( sK2 @ X4 @ X5 ) )
      & ! [X8: a,X7: a,X6: a] :
          ( ( sK2 @ X6 @ ( sK2 @ X7 @ X8 ) )
          = ( sK2 @ ( sK2 @ X6 @ X7 ) @ X8 ) )
      & ! [X11: a,X10: a,X9: a] :
          ( ( sK1 @ X9 @ ( sK2 @ X10 @ X11 ) )
          = ( sK2 @ ( sK1 @ X9 @ X10 ) @ ( sK1 @ X9 @ X11 ) ) )
      & ! [X12: a] :
          ( ( sK2 @ X12 @ X12 )
          = X12 )
      & ! [X14: a,X13: a] :
          ( ( sK1 @ ( sK2 @ X13 @ X14 ) @ X14 )
          = X14 )
      & ! [X15: a] :
          ( ( sK1 @ X15 @ X15 )
          = X15 )
      & ! [X16: a] :
          ( sK3
          = ( sK1 @ sK3 @ X16 ) )
      & ! [X18: a,X17: a] :
          ( ( sK2 @ ( sK1 @ X17 @ X18 ) @ X18 )
          = X18 )
      & ! [X19: a] :
          ( ( sK2 @ sK0 @ X19 )
          = sK0 )
      & ! [X22: a,X21: a,X20: a] :
          ( ( sK1 @ X21 @ ( sK1 @ X20 @ X22 ) )
          = ( sK1 @ ( sK1 @ X21 @ X20 ) @ X22 ) )
      & ! [X23: a] :
          ( ( sK1 @ sK0 @ X23 )
          = X23 )
      & ! [X24: a] :
          ( ( sK2 @ sK3 @ X24 )
          = X24 )
      & ! [X25: a] :
        ? [X26: a] :
          ( ( ( sK2 @ X25 @ X26 )
            = sK0 )
          & ( sK3
            = ( sK1 @ X25 @ X26 ) ) )
      & ! [X28: a,X27: a] :
          ( ( sK1 @ X28 @ X27 )
          = ( sK1 @ X27 @ X28 ) )
      & ? [X31: a,X30: a,X29: a] :
          ( ( ( sK1 @ X31 @ X29 )
            = sK3 )
          & ( X29 != X30 )
          & ( ( sK2 @ X31 @ X29 )
            = sK0 )
          & ( ( sK2 @ X31 @ X30 )
            = sK0 )
          & ( ( sK1 @ X31 @ X30 )
            = sK3 ) )
      & ! [X34: a,X33: a,X32: a] :
          ( ( sK1 @ ( sK2 @ X34 @ X33 ) @ ( sK2 @ X34 @ X32 ) )
          = ( sK2 @ X34 @ ( sK1 @ X33 @ X32 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ! [X25: a] :
      ( ? [X26: a] :
          ( ( ( sK2 @ X25 @ X26 )
            = sK0 )
          & ( sK3
            = ( sK1 @ X25 @ X26 ) ) )
     => ( ( ( sK2 @ X25 @ ( sK4 @ X25 ) )
          = sK0 )
        & ( sK3
          = ( sK1 @ X25 @ ( sK4 @ X25 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X31: a,X30: a,X29: a] :
        ( ( ( sK1 @ X31 @ X29 )
          = sK3 )
        & ( X29 != X30 )
        & ( ( sK2 @ X31 @ X29 )
          = sK0 )
        & ( ( sK2 @ X31 @ X30 )
          = sK0 )
        & ( ( sK1 @ X31 @ X30 )
          = sK3 ) )
   => ( ( sK3
        = ( sK1 @ sK7 @ sK5 ) )
      & ( sK5 != sK6 )
      & ( ( sK2 @ sK7 @ sK5 )
        = sK0 )
      & ( ( sK2 @ sK7 @ sK6 )
        = sK0 )
      & ( sK3
        = ( sK1 @ sK7 @ sK6 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ? [X0: a,X1: a > a > a,X2: a > a > a,X3: a] :
      ( ! [X4: a,X5: a] :
          ( ( X2 @ X5 @ X4 )
          = ( X2 @ X4 @ X5 ) )
      & ! [X6: a,X7: a,X8: a] :
          ( ( X2 @ ( X2 @ X6 @ X7 ) @ X8 )
          = ( X2 @ X6 @ ( X2 @ X7 @ X8 ) ) )
      & ! [X9: a,X10: a,X11: a] :
          ( ( X2 @ ( X1 @ X9 @ X10 ) @ ( X1 @ X9 @ X11 ) )
          = ( X1 @ X9 @ ( X2 @ X10 @ X11 ) ) )
      & ! [X12: a] :
          ( ( X2 @ X12 @ X12 )
          = X12 )
      & ! [X13: a,X14: a] :
          ( ( X1 @ ( X2 @ X13 @ X14 ) @ X14 )
          = X14 )
      & ! [X15: a] :
          ( ( X1 @ X15 @ X15 )
          = X15 )
      & ! [X16: a] :
          ( ( X1 @ X3 @ X16 )
          = X3 )
      & ! [X17: a,X18: a] :
          ( ( X2 @ ( X1 @ X17 @ X18 ) @ X18 )
          = X18 )
      & ! [X19: a] :
          ( ( X2 @ X0 @ X19 )
          = X0 )
      & ! [X20: a,X21: a,X22: a] :
          ( ( X1 @ ( X1 @ X21 @ X20 ) @ X22 )
          = ( X1 @ X21 @ ( X1 @ X20 @ X22 ) ) )
      & ! [X23: a] :
          ( ( X1 @ X0 @ X23 )
          = X23 )
      & ! [X24: a] :
          ( ( X2 @ X3 @ X24 )
          = X24 )
      & ! [X25: a] :
        ? [X26: a] :
          ( ( ( X2 @ X25 @ X26 )
            = X0 )
          & ( ( X1 @ X25 @ X26 )
            = X3 ) )
      & ! [X27: a,X28: a] :
          ( ( X1 @ X27 @ X28 )
          = ( X1 @ X28 @ X27 ) )
      & ? [X29: a,X30: a,X31: a] :
          ( ( ( X1 @ X31 @ X29 )
            = X3 )
          & ( X29 != X30 )
          & ( ( X2 @ X31 @ X29 )
            = X0 )
          & ( ( X2 @ X31 @ X30 )
            = X0 )
          & ( ( X1 @ X31 @ X30 )
            = X3 ) )
      & ! [X32: a,X33: a,X34: a] :
          ( ( X1 @ ( X2 @ X34 @ X33 ) @ ( X2 @ X34 @ X32 ) )
          = ( X2 @ X34 @ ( X1 @ X33 @ X32 ) ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,plain,
    ? [X0: a,X2: a > a > a,X3: a > a > a,X1: a] :
      ( ! [X16: a,X17: a] :
          ( ( X3 @ X16 @ X17 )
          = ( X3 @ X17 @ X16 ) )
      & ! [X5: a,X6: a,X7: a] :
          ( ( X3 @ ( X3 @ X5 @ X6 ) @ X7 )
          = ( X3 @ X5 @ ( X3 @ X6 @ X7 ) ) )
      & ! [X31: a,X29: a,X30: a] :
          ( ( X3 @ ( X2 @ X31 @ X29 ) @ ( X2 @ X31 @ X30 ) )
          = ( X2 @ X31 @ ( X3 @ X29 @ X30 ) ) )
      & ! [X15: a] :
          ( ( X3 @ X15 @ X15 )
          = X15 )
      & ! [X22: a,X21: a] :
          ( ( X2 @ ( X3 @ X22 @ X21 ) @ X21 )
          = X21 )
      & ! [X13: a] :
          ( ( X2 @ X13 @ X13 )
          = X13 )
      & ! [X28: a] :
          ( ( X2 @ X1 @ X28 )
          = X1 )
      & ! [X10: a,X9: a] :
          ( ( X3 @ ( X2 @ X10 @ X9 ) @ X9 )
          = X9 )
      & ! [X14: a] :
          ( ( X3 @ X0 @ X14 )
          = X0 )
      & ! [X18: a,X20: a,X19: a] :
          ( ( X2 @ ( X2 @ X20 @ X18 ) @ X19 )
          = ( X2 @ X20 @ ( X2 @ X18 @ X19 ) ) )
      & ! [X8: a] :
          ( ( X2 @ X0 @ X8 )
          = X8 )
      & ! [X4: a] :
          ( ( X3 @ X1 @ X4 )
          = X4 )
      & ! [X23: a] :
        ? [X24: a] :
          ( ( ( X3 @ X23 @ X24 )
            = X0 )
          & ( ( X2 @ X23 @ X24 )
            = X1 ) )
      & ! [X12: a,X11: a] :
          ( ( X2 @ X11 @ X12 )
          = ( X2 @ X12 @ X11 ) )
      & ? [X33: a,X32: a,X34: a] :
          ( ( ( X2 @ X34 @ X33 )
            = X1 )
          & ( X32 != X33 )
          & ( ( X3 @ X34 @ X33 )
            = X0 )
          & ( ( X3 @ X34 @ X32 )
            = X0 )
          & ( ( X2 @ X34 @ X32 )
            = X1 ) )
      & ! [X26: a,X25: a,X27: a] :
          ( ( X3 @ X27 @ ( X2 @ X25 @ X26 ) )
          = ( X2 @ ( X3 @ X27 @ X25 ) @ ( X3 @ X27 @ X26 ) ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ? [X0: a,X2: a > a > a,X3: a > a > a,X1: a] :
      ( ? [X34: a,X32: a,X33: a] :
          ( ( X32 != X33 )
          & ( ( X3 @ X34 @ X32 )
            = X0 )
          & ( ( X2 @ X34 @ X32 )
            = X1 )
          & ( ( X2 @ X34 @ X33 )
            = X1 )
          & ( ( X3 @ X34 @ X33 )
            = X0 ) )
      & ! [X8: a] :
          ( ( X2 @ X0 @ X8 )
          = X8 )
      & ! [X18: a,X20: a,X19: a] :
          ( ( X2 @ ( X2 @ X20 @ X18 ) @ X19 )
          = ( X2 @ X20 @ ( X2 @ X18 @ X19 ) ) )
      & ! [X16: a,X17: a] :
          ( ( X3 @ X16 @ X17 )
          = ( X3 @ X17 @ X16 ) )
      & ! [X26: a,X25: a,X27: a] :
          ( ( X3 @ X27 @ ( X2 @ X25 @ X26 ) )
          = ( X2 @ ( X3 @ X27 @ X25 ) @ ( X3 @ X27 @ X26 ) ) )
      & ! [X12: a,X11: a] :
          ( ( X2 @ X11 @ X12 )
          = ( X2 @ X12 @ X11 ) )
      & ! [X13: a] :
          ( ( X2 @ X13 @ X13 )
          = X13 )
      & ! [X31: a,X29: a,X30: a] :
          ( ( X3 @ ( X2 @ X31 @ X29 ) @ ( X2 @ X31 @ X30 ) )
          = ( X2 @ X31 @ ( X3 @ X29 @ X30 ) ) )
      & ! [X15: a] :
          ( ( X3 @ X15 @ X15 )
          = X15 )
      & ! [X14: a] :
          ( ( X3 @ X0 @ X14 )
          = X0 )
      & ! [X28: a] :
          ( ( X2 @ X1 @ X28 )
          = X1 )
      & ! [X22: a,X21: a] :
          ( ( X2 @ ( X3 @ X22 @ X21 ) @ X21 )
          = X21 )
      & ! [X4: a] :
          ( ( X3 @ X1 @ X4 )
          = X4 )
      & ! [X23: a] :
        ? [X24: a] :
          ( ( ( X3 @ X23 @ X24 )
            = X0 )
          & ( ( X2 @ X23 @ X24 )
            = X1 ) )
      & ! [X5: a,X6: a,X7: a] :
          ( ( X3 @ ( X3 @ X5 @ X6 ) @ X7 )
          = ( X3 @ X5 @ ( X3 @ X6 @ X7 ) ) )
      & ! [X10: a,X9: a] :
          ( ( X3 @ ( X2 @ X10 @ X9 ) @ X9 )
          = X9 ) ),
    inference(ennf_transformation,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a,X2: a > a > a,X3: a > a > a,X1: a] :
        ( ( ! [X8: a] :
              ( ( X2 @ X0 @ X8 )
              = X8 )
          & ! [X18: a,X20: a,X19: a] :
              ( ( X2 @ ( X2 @ X20 @ X18 ) @ X19 )
              = ( X2 @ X20 @ ( X2 @ X18 @ X19 ) ) )
          & ! [X16: a,X17: a] :
              ( ( X3 @ X16 @ X17 )
              = ( X3 @ X17 @ X16 ) )
          & ! [X26: a,X25: a,X27: a] :
              ( ( X3 @ X27 @ ( X2 @ X25 @ X26 ) )
              = ( X2 @ ( X3 @ X27 @ X25 ) @ ( X3 @ X27 @ X26 ) ) )
          & ! [X12: a,X11: a] :
              ( ( X2 @ X11 @ X12 )
              = ( X2 @ X12 @ X11 ) )
          & ! [X13: a] :
              ( ( X2 @ X13 @ X13 )
              = X13 )
          & ! [X31: a,X29: a,X30: a] :
              ( ( X3 @ ( X2 @ X31 @ X29 ) @ ( X2 @ X31 @ X30 ) )
              = ( X2 @ X31 @ ( X3 @ X29 @ X30 ) ) )
          & ! [X15: a] :
              ( ( X3 @ X15 @ X15 )
              = X15 )
          & ! [X14: a] :
              ( ( X3 @ X0 @ X14 )
              = X0 )
          & ! [X28: a] :
              ( ( X2 @ X1 @ X28 )
              = X1 )
          & ! [X22: a,X21: a] :
              ( ( X2 @ ( X3 @ X22 @ X21 ) @ X21 )
              = X21 )
          & ! [X4: a] :
              ( ( X3 @ X1 @ X4 )
              = X4 )
          & ! [X23: a] :
            ? [X24: a] :
              ( ( ( X3 @ X23 @ X24 )
                = X0 )
              & ( ( X2 @ X23 @ X24 )
                = X1 ) )
          & ! [X5: a,X6: a,X7: a] :
              ( ( X3 @ ( X3 @ X5 @ X6 ) @ X7 )
              = ( X3 @ X5 @ ( X3 @ X6 @ X7 ) ) )
          & ! [X10: a,X9: a] :
              ( ( X3 @ ( X2 @ X10 @ X9 ) @ X9 )
              = X9 ) )
       => ! [X34: a,X32: a,X33: a] :
            ( ( ( ( X3 @ X34 @ X32 )
                = X0 )
              & ( ( X2 @ X34 @ X32 )
                = X1 )
              & ( ( X2 @ X34 @ X33 )
                = X1 )
              & ( ( X3 @ X34 @ X33 )
                = X0 ) )
           => ( X32 = X33 ) ) ),
    inference(rectify,[],[f2]) ).

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

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

thf(f851,plain,
    sK5 = sK6,
    inference(forward_demodulation,[],[f841,f737]) ).

thf(f737,plain,
    ( sK5
    = ( sK1 @ sK5 @ sK6 ) ),
    inference(forward_demodulation,[],[f736,f27]) ).

thf(f27,plain,
    ! [X15: a] :
      ( ( sK1 @ X15 @ X15 )
      = X15 ),
    inference(cnf_transformation,[],[f11]) ).

thf(f736,plain,
    ( ( sK1 @ sK5 @ sK5 )
    = ( sK1 @ sK5 @ sK6 ) ),
    inference(forward_demodulation,[],[f716,f378]) ).

thf(f378,plain,
    ! [X0: a] :
      ( ( sK1 @ sK5 @ ( sK2 @ X0 @ sK7 ) )
      = ( sK1 @ sK5 @ X0 ) ),
    inference(superposition,[],[f30,f67]) ).

thf(f67,plain,
    ! [X0: a] :
      ( ( sK2 @ X0 @ ( sK1 @ sK5 @ sK7 ) )
      = X0 ),
    inference(superposition,[],[f44,f32]) ).

thf(f32,plain,
    ! [X4: a,X5: a] :
      ( ( sK2 @ X5 @ X4 )
      = ( sK2 @ X4 @ X5 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f44,plain,
    ! [X24: a] :
      ( ( sK2 @ ( sK1 @ sK5 @ sK7 ) @ X24 )
      = X24 ),
    inference(forward_demodulation,[],[f36,f18]) ).

thf(f18,plain,
    ! [X28: a,X27: a] :
      ( ( sK1 @ X28 @ X27 )
      = ( sK1 @ X27 @ X28 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f36,plain,
    ! [X24: a] :
      ( ( sK2 @ ( sK1 @ sK7 @ sK5 ) @ X24 )
      = X24 ),
    inference(definition_unfolding,[],[f21,f17]) ).

thf(f17,plain,
    ( sK3
    = ( sK1 @ sK7 @ sK5 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f21,plain,
    ! [X24: a] :
      ( ( sK2 @ sK3 @ X24 )
      = X24 ),
    inference(cnf_transformation,[],[f11]) ).

thf(f30,plain,
    ! [X10: a,X11: a,X9: a] :
      ( ( sK1 @ X9 @ ( sK2 @ X10 @ X11 ) )
      = ( sK2 @ ( sK1 @ X9 @ X10 ) @ ( sK1 @ X9 @ X11 ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f716,plain,
    ( ( sK1 @ sK5 @ sK6 )
    = ( sK1 @ sK5 @ ( sK2 @ sK5 @ sK7 ) ) ),
    inference(superposition,[],[f375,f47]) ).

thf(f47,plain,
    ( ( sK2 @ sK7 @ sK6 )
    = ( sK2 @ sK5 @ sK7 ) ),
    inference(backward_demodulation,[],[f39,f32]) ).

thf(f39,plain,
    ( ( sK2 @ sK7 @ sK5 )
    = ( sK2 @ sK7 @ sK6 ) ),
    inference(definition_unfolding,[],[f14,f15]) ).

thf(f15,plain,
    ( ( sK2 @ sK7 @ sK5 )
    = sK0 ),
    inference(cnf_transformation,[],[f11]) ).

thf(f14,plain,
    ( ( sK2 @ sK7 @ sK6 )
    = sK0 ),
    inference(cnf_transformation,[],[f11]) ).

thf(f375,plain,
    ! [X0: a] :
      ( ( sK1 @ sK5 @ X0 )
      = ( sK1 @ sK5 @ ( sK2 @ sK7 @ X0 ) ) ),
    inference(superposition,[],[f30,f44]) ).

thf(f841,plain,
    ( sK6
    = ( sK1 @ sK5 @ sK6 ) ),
    inference(superposition,[],[f18,f768]) ).

thf(f768,plain,
    ( sK6
    = ( sK1 @ sK6 @ sK5 ) ),
    inference(superposition,[],[f75,f400]) ).

thf(f400,plain,
    ! [X0: a] :
      ( ( sK1 @ sK6 @ ( sK2 @ X0 @ sK7 ) )
      = ( sK1 @ sK6 @ X0 ) ),
    inference(forward_demodulation,[],[f361,f67]) ).

thf(f361,plain,
    ! [X0: a] :
      ( ( sK1 @ sK6 @ ( sK2 @ X0 @ sK7 ) )
      = ( sK2 @ ( sK1 @ sK6 @ X0 ) @ ( sK1 @ sK5 @ sK7 ) ) ),
    inference(superposition,[],[f30,f43]) ).

thf(f43,plain,
    ( ( sK1 @ sK5 @ sK7 )
    = ( sK1 @ sK6 @ sK7 ) ),
    inference(forward_demodulation,[],[f42,f18]) ).

thf(f42,plain,
    ( ( sK1 @ sK7 @ sK5 )
    = ( sK1 @ sK6 @ sK7 ) ),
    inference(forward_demodulation,[],[f40,f18]) ).

thf(f40,plain,
    ( ( sK1 @ sK7 @ sK5 )
    = ( sK1 @ sK7 @ sK6 ) ),
    inference(definition_unfolding,[],[f13,f17]) ).

thf(f13,plain,
    ( sK3
    = ( sK1 @ sK7 @ sK6 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f75,plain,
    ! [X0: a] :
      ( ( sK1 @ X0 @ ( sK2 @ sK5 @ sK7 ) )
      = X0 ),
    inference(superposition,[],[f18,f45]) ).

thf(f45,plain,
    ! [X23: a] :
      ( ( sK1 @ ( sK2 @ sK5 @ sK7 ) @ X23 )
      = X23 ),
    inference(backward_demodulation,[],[f35,f32]) ).

thf(f35,plain,
    ! [X23: a] :
      ( ( sK1 @ ( sK2 @ sK7 @ sK5 ) @ X23 )
      = X23 ),
    inference(definition_unfolding,[],[f22,f15]) ).

thf(f22,plain,
    ! [X23: a] :
      ( ( sK1 @ sK0 @ X23 )
      = X23 ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU997^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 18:13:08 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  % (5753)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  % (5755)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  % (5754)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  % (5757)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  % (5758)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  % (5759)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  % (5756)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38  % (5760)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  % (5757)Instruction limit reached!
% 0.15/0.38  % (5757)------------------------------
% 0.15/0.38  % (5757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (5757)Termination reason: Unknown
% 0.15/0.38  % (5757)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (5757)Memory used [KB]: 895
% 0.15/0.38  % (5757)Time elapsed: 0.003 s
% 0.15/0.38  % (5757)Instructions burned: 2 (million)
% 0.15/0.38  % (5757)------------------------------
% 0.15/0.38  % (5757)------------------------------
% 0.15/0.38  % (5756)Instruction limit reached!
% 0.15/0.38  % (5756)------------------------------
% 0.15/0.38  % (5756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (5756)Termination reason: Unknown
% 0.15/0.38  % (5756)Termination phase: Preprocessing 3
% 0.15/0.38  
% 0.15/0.38  % (5756)Memory used [KB]: 1023
% 0.15/0.38  % (5756)Time elapsed: 0.003 s
% 0.15/0.38  % (5756)Instructions burned: 3 (million)
% 0.15/0.38  % (5756)------------------------------
% 0.15/0.38  % (5756)------------------------------
% 0.15/0.38  % (5760)Instruction limit reached!
% 0.15/0.38  % (5760)------------------------------
% 0.15/0.38  % (5760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (5760)Termination reason: Unknown
% 0.15/0.38  % (5760)Termination phase: Preprocessing 3
% 0.15/0.38  
% 0.15/0.38  % (5760)Memory used [KB]: 1023
% 0.15/0.38  % (5760)Time elapsed: 0.004 s
% 0.15/0.38  % (5760)Instructions burned: 3 (million)
% 0.15/0.38  % (5760)------------------------------
% 0.15/0.38  % (5760)------------------------------
% 0.15/0.38  % (5754)Instruction limit reached!
% 0.15/0.38  % (5754)------------------------------
% 0.15/0.38  % (5754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (5754)Termination reason: Unknown
% 0.15/0.38  % (5754)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (5754)Memory used [KB]: 5500
% 0.15/0.38  % (5754)Time elapsed: 0.005 s
% 0.15/0.38  % (5754)Instructions burned: 4 (million)
% 0.15/0.38  % (5754)------------------------------
% 0.15/0.38  % (5754)------------------------------
% 0.15/0.39  % (5759)Instruction limit reached!
% 0.15/0.39  % (5759)------------------------------
% 0.15/0.39  % (5759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (5759)Termination reason: Unknown
% 0.15/0.39  % (5759)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (5759)Memory used [KB]: 5628
% 0.15/0.39  % (5759)Time elapsed: 0.014 s
% 0.15/0.39  % (5759)Instructions burned: 18 (million)
% 0.15/0.39  % (5759)------------------------------
% 0.15/0.39  % (5759)------------------------------
% 0.22/0.40  % (5761)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  % (5763)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  % (5762)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  % (5764)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  % (5755)Instruction limit reached!
% 0.22/0.40  % (5755)------------------------------
% 0.22/0.40  % (5755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (5755)Termination reason: Unknown
% 0.22/0.40  % (5755)Termination phase: Saturation
% 0.22/0.40  
% 0.22/0.40  % (5755)Memory used [KB]: 5628
% 0.22/0.40  % (5755)Time elapsed: 0.021 s
% 0.22/0.40  % (5755)Instructions burned: 27 (million)
% 0.22/0.40  % (5755)------------------------------
% 0.22/0.40  % (5755)------------------------------
% 0.22/0.40  % (5763)Instruction limit reached!
% 0.22/0.40  % (5763)------------------------------
% 0.22/0.40  % (5763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (5763)Termination reason: Unknown
% 0.22/0.40  % (5763)Termination phase: Property scanning
% 0.22/0.40  
% 0.22/0.40  % (5763)Memory used [KB]: 1023
% 0.22/0.40  % (5763)Time elapsed: 0.004 s
% 0.22/0.40  % (5763)Instructions burned: 3 (million)
% 0.22/0.40  % (5763)------------------------------
% 0.22/0.40  % (5763)------------------------------
% 0.22/0.41  % (5765)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  % (5762)Instruction limit reached!
% 0.22/0.41  % (5762)------------------------------
% 0.22/0.41  % (5762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (5762)Termination reason: Unknown
% 0.22/0.41  % (5762)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (5762)Memory used [KB]: 5628
% 0.22/0.41  % (5762)Time elapsed: 0.014 s
% 0.22/0.41  % (5762)Instructions burned: 15 (million)
% 0.22/0.41  % (5762)------------------------------
% 0.22/0.41  % (5762)------------------------------
% 0.22/0.41  % (5765)Instruction limit reached!
% 0.22/0.41  % (5765)------------------------------
% 0.22/0.41  % (5765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (5765)Termination reason: Unknown
% 0.22/0.41  % (5765)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (5765)Memory used [KB]: 1023
% 0.22/0.41  % (5765)Time elapsed: 0.006 s
% 0.22/0.41  % (5765)Instructions burned: 7 (million)
% 0.22/0.41  % (5765)------------------------------
% 0.22/0.41  % (5765)------------------------------
% 0.22/0.42  % (5768)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42  % (5769)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  % (5761)Instruction limit reached!
% 0.22/0.42  % (5761)------------------------------
% 0.22/0.42  % (5761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5761)Termination reason: Unknown
% 0.22/0.42  % (5761)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (5761)Memory used [KB]: 5628
% 0.22/0.42  % (5761)Time elapsed: 0.023 s
% 0.22/0.42  % (5761)Instructions burned: 38 (million)
% 0.22/0.42  % (5761)------------------------------
% 0.22/0.42  % (5761)------------------------------
% 0.22/0.42  % (5769)Instruction limit reached!
% 0.22/0.42  % (5769)------------------------------
% 0.22/0.42  % (5769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5769)Termination reason: Unknown
% 0.22/0.42  % (5769)Termination phase: Function definition elimination
% 0.22/0.42  
% 0.22/0.42  % (5769)Memory used [KB]: 1023
% 0.22/0.42  % (5769)Time elapsed: 0.005 s
% 0.22/0.42  % (5769)Instructions burned: 4 (million)
% 0.22/0.42  % (5769)------------------------------
% 0.22/0.42  % (5769)------------------------------
% 0.22/0.43  % (5768)Instruction limit reached!
% 0.22/0.43  % (5768)------------------------------
% 0.22/0.43  % (5768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (5768)Termination reason: Unknown
% 0.22/0.43  % (5768)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (5768)Memory used [KB]: 5628
% 0.22/0.43  % (5768)Time elapsed: 0.013 s
% 0.22/0.43  % (5768)Instructions burned: 17 (million)
% 0.22/0.43  % (5768)------------------------------
% 0.22/0.43  % (5768)------------------------------
% 0.22/0.43  % (5775)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  % (5773)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)
% 0.22/0.43  % (5773)Instruction limit reached!
% 0.22/0.43  % (5773)------------------------------
% 0.22/0.43  % (5773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (5773)Termination reason: Unknown
% 0.22/0.43  % (5773)Termination phase: Property scanning
% 0.22/0.43  
% 0.22/0.43  % (5773)Memory used [KB]: 1023
% 0.22/0.43  % (5773)Time elapsed: 0.004 s
% 0.22/0.43  % (5773)Instructions burned: 4 (million)
% 0.22/0.43  % (5773)------------------------------
% 0.22/0.43  % (5773)------------------------------
% 0.22/0.43  % (5777)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  % (5775)Instruction limit reached!
% 0.22/0.43  % (5775)------------------------------
% 0.22/0.43  % (5775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (5775)Termination reason: Unknown
% 0.22/0.43  % (5775)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (5775)Memory used [KB]: 5500
% 0.22/0.43  % (5775)Time elapsed: 0.008 s
% 0.22/0.43  % (5775)Instructions burned: 7 (million)
% 0.22/0.43  % (5775)------------------------------
% 0.22/0.43  % (5775)------------------------------
% 0.22/0.43  % (5778)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44  % (5777)Instruction limit reached!
% 0.22/0.44  % (5777)------------------------------
% 0.22/0.44  % (5777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (5777)Termination reason: Unknown
% 0.22/0.44  % (5777)Termination phase: Property scanning
% 0.22/0.44  
% 0.22/0.44  % (5777)Memory used [KB]: 1023
% 0.22/0.44  % (5777)Time elapsed: 0.004 s
% 0.22/0.44  % (5777)Instructions burned: 4 (million)
% 0.22/0.44  % (5777)------------------------------
% 0.22/0.44  % (5777)------------------------------
% 0.22/0.44  % (5778)Instruction limit reached!
% 0.22/0.44  % (5778)------------------------------
% 0.22/0.44  % (5778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (5778)Termination reason: Unknown
% 0.22/0.44  % (5778)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (5778)Memory used [KB]: 1023
% 0.22/0.44  % (5778)Time elapsed: 0.004 s
% 0.22/0.44  % (5778)Instructions burned: 4 (million)
% 0.22/0.44  % (5778)------------------------------
% 0.22/0.44  % (5778)------------------------------
% 0.22/0.44  % (5779)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)
% 0.22/0.45  % (5781)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45  % (5783)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45  % (5784)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  % (5779)Instruction limit reached!
% 0.22/0.45  % (5779)------------------------------
% 0.22/0.45  % (5779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (5786)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  % (5779)Termination reason: Unknown
% 0.22/0.45  % (5779)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (5779)Memory used [KB]: 5628
% 0.22/0.45  % (5779)Time elapsed: 0.014 s
% 0.22/0.45  % (5779)Instructions burned: 18 (million)
% 0.22/0.45  % (5779)------------------------------
% 0.22/0.45  % (5779)------------------------------
% 0.22/0.46  % (5783)Instruction limit reached!
% 0.22/0.46  % (5783)------------------------------
% 0.22/0.46  % (5783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (5783)Termination reason: Unknown
% 0.22/0.46  % (5783)Termination phase: Saturation
% 0.22/0.46  
% 0.22/0.46  % (5783)Memory used [KB]: 5500
% 0.22/0.46  % (5783)Time elapsed: 0.006 s
% 0.22/0.46  % (5783)Instructions burned: 6 (million)
% 0.22/0.46  % (5783)------------------------------
% 0.22/0.46  % (5783)------------------------------
% 0.22/0.47  % (5786)Instruction limit reached!
% 0.22/0.47  % (5786)------------------------------
% 0.22/0.47  % (5786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5786)Termination reason: Unknown
% 0.22/0.47  % (5786)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (5786)Memory used [KB]: 5628
% 0.22/0.47  % (5786)Time elapsed: 0.017 s
% 0.22/0.47  % (5786)Instructions burned: 21 (million)
% 0.22/0.47  % (5786)------------------------------
% 0.22/0.47  % (5786)------------------------------
% 0.22/0.47  % (5796)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47  % (5796)Instruction limit reached!
% 0.22/0.47  % (5796)------------------------------
% 0.22/0.47  % (5796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5796)Termination reason: Unknown
% 0.22/0.47  % (5796)Termination phase: Property scanning
% 0.22/0.47  
% 0.22/0.47  % (5796)Memory used [KB]: 1023
% 0.22/0.47  % (5796)Time elapsed: 0.004 s
% 0.22/0.47  % (5796)Instructions burned: 5 (million)
% 0.22/0.47  % (5796)------------------------------
% 0.22/0.47  % (5796)------------------------------
% 0.22/0.47  % (5797)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)
% 0.22/0.47  % (5797)Instruction limit reached!
% 0.22/0.47  % (5797)------------------------------
% 0.22/0.47  % (5797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5797)Termination reason: Unknown
% 0.22/0.47  % (5797)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (5797)Memory used [KB]: 5500
% 0.22/0.47  % (5797)Time elapsed: 0.005 s
% 0.22/0.48  % (5797)Instructions burned: 7 (million)
% 0.22/0.48  % (5797)------------------------------
% 0.22/0.48  % (5797)------------------------------
% 0.22/0.48  % (5805)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.49  % (5806)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 (2998ds/779Mi)
% 0.22/0.49  % (5809)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 (2998ds/19Mi)
% 0.22/0.50  % (5809)Instruction limit reached!
% 0.22/0.50  % (5809)------------------------------
% 0.22/0.50  % (5809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50  % (5809)Termination reason: Unknown
% 0.22/0.50  % (5809)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (5809)Memory used [KB]: 5628
% 0.22/0.50  % (5809)Time elapsed: 0.009 s
% 0.22/0.50  % (5809)Instructions burned: 20 (million)
% 0.22/0.50  % (5809)------------------------------
% 0.22/0.50  % (5809)------------------------------
% 0.22/0.50  % (5753)Instruction limit reached!
% 0.22/0.50  % (5753)------------------------------
% 0.22/0.50  % (5753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50  % (5753)Termination reason: Unknown
% 0.22/0.50  % (5753)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (5753)Memory used [KB]: 6780
% 0.22/0.50  % (5753)Time elapsed: 0.116 s
% 0.22/0.50  % (5753)Instructions burned: 183 (million)
% 0.22/0.50  % (5753)------------------------------
% 0.22/0.50  % (5753)------------------------------
% 0.22/0.50  % (5823)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)
% 0.22/0.51  % (5825)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.52  % (5825)Instruction limit reached!
% 0.22/0.52  % (5825)------------------------------
% 0.22/0.52  % (5825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52  % (5825)Termination reason: Unknown
% 0.22/0.52  % (5825)Termination phase: Saturation
% 0.22/0.52  
% 0.22/0.52  % (5825)Memory used [KB]: 5628
% 0.22/0.52  % (5825)Time elapsed: 0.008 s
% 0.22/0.52  % (5825)Instructions burned: 17 (million)
% 0.22/0.52  % (5825)------------------------------
% 0.22/0.52  % (5825)------------------------------
% 0.22/0.53  % (5839)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.53  % (5839)Instruction limit reached!
% 0.22/0.53  % (5839)------------------------------
% 0.22/0.53  % (5839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53  % (5839)Termination reason: Unknown
% 0.22/0.53  % (5839)Termination phase: Preprocessing 3
% 0.22/0.53  
% 0.22/0.53  % (5839)Memory used [KB]: 1023
% 0.22/0.53  % (5839)Time elapsed: 0.002 s
% 0.22/0.53  % (5839)Instructions burned: 3 (million)
% 0.22/0.53  % (5839)------------------------------
% 0.22/0.53  % (5839)------------------------------
% 0.22/0.54  % (5758)Instruction limit reached!
% 0.22/0.54  % (5758)------------------------------
% 0.22/0.54  % (5758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54  % (5758)Termination reason: Unknown
% 0.22/0.54  % (5758)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (5758)Memory used [KB]: 6396
% 0.22/0.54  % (5758)Time elapsed: 0.156 s
% 0.22/0.54  % (5758)Instructions burned: 276 (million)
% 0.22/0.54  % (5758)------------------------------
% 0.22/0.54  % (5758)------------------------------
% 0.22/0.54  % (5852)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.55  % (5855)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)
% 0.22/0.55  % (5852)Instruction limit reached!
% 0.22/0.55  % (5852)------------------------------
% 0.22/0.55  % (5852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55  % (5852)Termination reason: Unknown
% 0.22/0.55  % (5852)Termination phase: Saturation
% 0.22/0.55  
% 0.22/0.55  % (5852)Memory used [KB]: 5628
% 0.22/0.55  % (5852)Time elapsed: 0.013 s
% 0.22/0.55  % (5852)Instructions burned: 30 (million)
% 0.22/0.55  % (5852)------------------------------
% 0.22/0.55  % (5852)------------------------------
% 0.22/0.56  % (5864)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)
% 0.22/0.57  % (5781)First to succeed.
% 0.22/0.58  % (5781)Refutation found. Thanks to Tanya!
% 0.22/0.58  % SZS status Theorem for theBenchmark
% 0.22/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.58  % (5781)------------------------------
% 0.22/0.58  % (5781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58  % (5781)Termination reason: Refutation
% 0.22/0.58  
% 0.22/0.58  % (5781)Memory used [KB]: 6524
% 0.22/0.58  % (5781)Time elapsed: 0.129 s
% 0.22/0.58  % (5781)Instructions burned: 248 (million)
% 0.22/0.58  % (5781)------------------------------
% 0.22/0.58  % (5781)------------------------------
% 0.22/0.58  % (5752)Success in time 0.208 s
% 0.22/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------