TSTP Solution File: SEU974^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU974^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 03:52:25 EDT 2024

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   76 (   5 unt;  14 typ;   0 def)
%            Number of atoms       :  657 ( 335 equ;   0 cnn)
%            Maximal formula atoms :   29 (  10 avg)
%            Number of connectives : 1602 ( 195   ~; 172   |; 149   &;1030   @)
%                                         (  14 <=>;  40  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   49 (  49   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :  191 (   0   ^ 141   !;  49   ?; 191   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    cR: a > a ).

thf(func_def_2,type,
    cP: a > a > a ).

thf(func_def_3,type,
    cL: a > a ).

thf(func_def_4,type,
    cZ: a ).

thf(func_def_8,type,
    sK0: a ).

thf(func_def_9,type,
    sK1: a ).

thf(func_def_10,type,
    sK2: a > $o ).

thf(func_def_11,type,
    sK3: ( a > $o ) > a ).

thf(func_def_12,type,
    sK4: ( a > $o ) > a ).

thf(func_def_13,type,
    sK5: ( a > $o ) > a ).

thf(func_def_14,type,
    sK6: ( a > $o ) > a ).

thf(func_def_17,type,
    ph8: 
      !>[X0: $tType] : X0 ).

thf(f442,plain,
    $false,
    inference(avatar_sat_refutation,[],[f97,f347,f400,f423,f441]) ).

thf(f441,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(avatar_contradiction_clause,[],[f440]) ).

thf(f440,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(subsumption_resolution,[],[f439,f428]) ).

thf(f428,plain,
    ( ( $true
      = ( sK2 @ ( cP @ cZ @ cZ ) ) )
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(superposition,[],[f399,f352]) ).

thf(f352,plain,
    ( ( cZ
      = ( sK3 @ sK2 ) )
    | ~ spl7_13 ),
    inference(avatar_component_clause,[],[f351]) ).

thf(f351,plain,
    ( spl7_13
  <=> ( cZ
      = ( sK3 @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).

thf(f399,plain,
    ( ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ cZ ) )
      = $true )
    | ~ spl7_17 ),
    inference(avatar_component_clause,[],[f397]) ).

thf(f397,plain,
    ( spl7_17
  <=> ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ cZ ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).

thf(f439,plain,
    ( ( $true
     != ( sK2 @ ( cP @ cZ @ cZ ) ) )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(forward_demodulation,[],[f438,f30]) ).

thf(f30,plain,
    ( cZ
    = ( cL @ cZ ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( cZ
      = ( cL @ cZ ) )
    & ! [X3: a,X4: a] :
        ( ( ( ( cZ = X3 )
            | ( cZ != X4 ) )
          & ( ( sK2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
            = $true )
          & ( ( sK2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
            = $true ) )
        | ( ( sK2 @ ( cP @ X3 @ X4 ) )
         != $true ) )
    & ( ( sK2 @ ( cP @ sK0 @ sK1 ) )
      = $true )
    & ! [X5: a > $o] :
        ( ( ( X5 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
         != $true )
        | ( ( $true
            = ( X5 @ ( cP @ ( sK3 @ X5 ) @ ( sK4 @ X5 ) ) ) )
          & ( ( ( X5 @ ( cP @ ( cR @ ( sK3 @ X5 ) ) @ ( cR @ ( sK4 @ X5 ) ) ) )
             != $true )
            | ( $true
             != ( X5 @ ( cP @ ( cL @ ( sK3 @ X5 ) ) @ ( cL @ ( sK4 @ X5 ) ) ) ) )
            | ( ( cZ
               != ( sK3 @ X5 ) )
              & ( cZ
                = ( sK4 @ X5 ) ) ) ) ) )
    & ! [X8: a,X9: a] :
        ( ( cL @ ( cP @ X8 @ X9 ) )
        = X8 )
    & ! [X10: a,X11: a] :
        ( ( cR @ ( cP @ X11 @ X10 ) )
        = X10 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X12: a] :
        ( ( ( cZ != X12 )
          | ( ( cP @ ( cL @ X12 ) @ ( cR @ X12 ) )
           != X12 ) )
        & ( ( ( cP @ ( cL @ X12 ) @ ( cR @ X12 ) )
            = X12 )
          | ( cZ = X12 ) ) )
    & ! [X13: a > $o] :
        ( ! [X14: a,X15: a] :
            ( ( X14 = X15 )
            | ( ( X13 @ ( cP @ X15 @ X14 ) )
             != $true ) )
        | ( ( $true
            = ( X13 @ ( cP @ ( sK6 @ X13 ) @ ( sK5 @ X13 ) ) ) )
          & ( ( ( X13 @ ( cP @ ( cL @ ( sK6 @ X13 ) ) @ ( cL @ ( sK5 @ X13 ) ) ) )
             != $true )
            | ( ( X13 @ ( cP @ ( cR @ ( sK6 @ X13 ) ) @ ( cR @ ( sK5 @ X13 ) ) ) )
             != $true )
            | ( ( ( cZ
                 != ( sK6 @ X13 ) )
                | ( cZ
                 != ( sK5 @ X13 ) ) )
              & ( ( cZ
                  = ( sK6 @ X13 ) )
                | ( cZ
                  = ( sK5 @ X13 ) ) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f9,f13,f12,f11,f10]) ).

thf(f10,plain,
    ( ? [X0: a,X1: a] :
        ( ? [X2: a > $o] :
            ( ! [X3: a,X4: a] :
                ( ( ( ( cZ = X3 )
                    | ( cZ != X4 ) )
                  & ( ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
                    = $true )
                  & ( ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
                    = $true ) )
                | ( $true
                 != ( X2 @ ( cP @ X3 @ X4 ) ) ) )
            & ( ( X2 @ ( cP @ X0 @ X1 ) )
              = $true ) )
        & ! [X5: a > $o] :
            ( ( ( X5 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) )
             != $true )
            | ? [X6: a,X7: a] :
                ( ( ( X5 @ ( cP @ X6 @ X7 ) )
                  = $true )
                & ( ( ( X5 @ ( cP @ ( cR @ X6 ) @ ( cR @ X7 ) ) )
                   != $true )
                  | ( ( X5 @ ( cP @ ( cL @ X6 ) @ ( cL @ X7 ) ) )
                   != $true )
                  | ( ( cZ != X6 )
                    & ( cZ = X7 ) ) ) ) ) )
   => ( ? [X2: a > $o] :
          ( ! [X3: a,X4: a] :
              ( ( ( ( cZ = X3 )
                  | ( cZ != X4 ) )
                & ( ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
                  = $true )
                & ( ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
                  = $true ) )
              | ( $true
               != ( X2 @ ( cP @ X3 @ X4 ) ) ) )
          & ( ( X2 @ ( cP @ sK0 @ sK1 ) )
            = $true ) )
      & ! [X5: a > $o] :
          ( ( ( X5 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
           != $true )
          | ? [X6: a,X7: a] :
              ( ( ( X5 @ ( cP @ X6 @ X7 ) )
                = $true )
              & ( ( ( X5 @ ( cP @ ( cR @ X6 ) @ ( cR @ X7 ) ) )
                 != $true )
                | ( ( X5 @ ( cP @ ( cL @ X6 ) @ ( cL @ X7 ) ) )
                 != $true )
                | ( ( cZ != X6 )
                  & ( cZ = X7 ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X2: a > $o] :
        ( ! [X3: a,X4: a] :
            ( ( ( ( cZ = X3 )
                | ( cZ != X4 ) )
              & ( ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
                = $true )
              & ( ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
                = $true ) )
            | ( $true
             != ( X2 @ ( cP @ X3 @ X4 ) ) ) )
        & ( ( X2 @ ( cP @ sK0 @ sK1 ) )
          = $true ) )
   => ( ! [X4: a,X3: a] :
          ( ( ( ( cZ = X3 )
              | ( cZ != X4 ) )
            & ( ( sK2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
              = $true )
            & ( ( sK2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
              = $true ) )
          | ( ( sK2 @ ( cP @ X3 @ X4 ) )
           != $true ) )
      & ( ( sK2 @ ( cP @ sK0 @ sK1 ) )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ! [X5: a > $o] :
      ( ? [X6: a,X7: a] :
          ( ( ( X5 @ ( cP @ X6 @ X7 ) )
            = $true )
          & ( ( ( X5 @ ( cP @ ( cR @ X6 ) @ ( cR @ X7 ) ) )
             != $true )
            | ( ( X5 @ ( cP @ ( cL @ X6 ) @ ( cL @ X7 ) ) )
             != $true )
            | ( ( cZ != X6 )
              & ( cZ = X7 ) ) ) )
     => ( ( $true
          = ( X5 @ ( cP @ ( sK3 @ X5 ) @ ( sK4 @ X5 ) ) ) )
        & ( ( ( X5 @ ( cP @ ( cR @ ( sK3 @ X5 ) ) @ ( cR @ ( sK4 @ X5 ) ) ) )
           != $true )
          | ( $true
           != ( X5 @ ( cP @ ( cL @ ( sK3 @ X5 ) ) @ ( cL @ ( sK4 @ X5 ) ) ) ) )
          | ( ( cZ
             != ( sK3 @ X5 ) )
            & ( cZ
              = ( sK4 @ X5 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X13: a > $o] :
      ( ? [X16: a,X17: a] :
          ( ( ( X13 @ ( cP @ X17 @ X16 ) )
            = $true )
          & ( ( $true
             != ( X13 @ ( cP @ ( cL @ X17 ) @ ( cL @ X16 ) ) ) )
            | ( ( X13 @ ( cP @ ( cR @ X17 ) @ ( cR @ X16 ) ) )
             != $true )
            | ( ( ( cZ != X17 )
                | ( cZ != X16 ) )
              & ( ( cZ = X17 )
                | ( cZ = X16 ) ) ) ) )
     => ( ( $true
          = ( X13 @ ( cP @ ( sK6 @ X13 ) @ ( sK5 @ X13 ) ) ) )
        & ( ( ( X13 @ ( cP @ ( cL @ ( sK6 @ X13 ) ) @ ( cL @ ( sK5 @ X13 ) ) ) )
           != $true )
          | ( ( X13 @ ( cP @ ( cR @ ( sK6 @ X13 ) ) @ ( cR @ ( sK5 @ X13 ) ) ) )
           != $true )
          | ( ( ( cZ
               != ( sK6 @ X13 ) )
              | ( cZ
               != ( sK5 @ X13 ) ) )
            & ( ( cZ
                = ( sK6 @ X13 ) )
              | ( cZ
                = ( sK5 @ X13 ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ( cZ
      = ( cL @ cZ ) )
    & ? [X0: a,X1: a] :
        ( ? [X2: a > $o] :
            ( ! [X3: a,X4: a] :
                ( ( ( ( cZ = X3 )
                    | ( cZ != X4 ) )
                  & ( ( X2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
                    = $true )
                  & ( ( X2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
                    = $true ) )
                | ( $true
                 != ( X2 @ ( cP @ X3 @ X4 ) ) ) )
            & ( ( X2 @ ( cP @ X0 @ X1 ) )
              = $true ) )
        & ! [X5: a > $o] :
            ( ( ( X5 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) )
             != $true )
            | ? [X6: a,X7: a] :
                ( ( ( X5 @ ( cP @ X6 @ X7 ) )
                  = $true )
                & ( ( ( X5 @ ( cP @ ( cR @ X6 ) @ ( cR @ X7 ) ) )
                   != $true )
                  | ( ( X5 @ ( cP @ ( cL @ X6 ) @ ( cL @ X7 ) ) )
                   != $true )
                  | ( ( cZ != X6 )
                    & ( cZ = X7 ) ) ) ) ) )
    & ! [X8: a,X9: a] :
        ( ( cL @ ( cP @ X8 @ X9 ) )
        = X8 )
    & ! [X10: a,X11: a] :
        ( ( cR @ ( cP @ X11 @ X10 ) )
        = X10 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X12: a] :
        ( ( ( cZ != X12 )
          | ( ( cP @ ( cL @ X12 ) @ ( cR @ X12 ) )
           != X12 ) )
        & ( ( ( cP @ ( cL @ X12 ) @ ( cR @ X12 ) )
            = X12 )
          | ( cZ = X12 ) ) )
    & ! [X13: a > $o] :
        ( ! [X14: a,X15: a] :
            ( ( X14 = X15 )
            | ( ( X13 @ ( cP @ X15 @ X14 ) )
             != $true ) )
        | ? [X16: a,X17: a] :
            ( ( ( X13 @ ( cP @ X17 @ X16 ) )
              = $true )
            & ( ( $true
               != ( X13 @ ( cP @ ( cL @ X17 ) @ ( cL @ X16 ) ) ) )
              | ( ( X13 @ ( cP @ ( cR @ X17 ) @ ( cR @ X16 ) ) )
               != $true )
              | ( ( ( cZ != X17 )
                  | ( cZ != X16 ) )
                & ( ( cZ = X17 )
                  | ( cZ = X16 ) ) ) ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ( ( cZ
      = ( cL @ cZ ) )
    & ? [X11: a,X10: a] :
        ( ? [X12: a > $o] :
            ( ! [X14: a,X13: a] :
                ( ( ( ( cZ = X14 )
                    | ( cZ != X13 ) )
                  & ( ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) )
                    = $true )
                  & ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
                    = $true ) )
                | ( ( X12 @ ( cP @ X14 @ X13 ) )
                 != $true ) )
            & ( $true
              = ( X12 @ ( cP @ X11 @ X10 ) ) ) )
        & ! [X15: a > $o] :
            ( ( ( X15 @ ( cP @ ( cR @ X11 ) @ ( cR @ X10 ) ) )
             != $true )
            | ? [X16: a,X17: a] :
                ( ( ( X15 @ ( cP @ X16 @ X17 ) )
                  = $true )
                & ( ( ( X15 @ ( cP @ ( cR @ X16 ) @ ( cR @ X17 ) ) )
                   != $true )
                  | ( $true
                   != ( X15 @ ( cP @ ( cL @ X16 ) @ ( cL @ X17 ) ) ) )
                  | ( ( cZ != X16 )
                    & ( cZ = X17 ) ) ) ) ) )
    & ! [X3: a,X2: a] :
        ( ( cL @ ( cP @ X3 @ X2 ) )
        = X3 )
    & ! [X1: a,X0: a] :
        ( ( cR @ ( cP @ X0 @ X1 ) )
        = X1 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X4: a] :
        ( ( ( cZ != X4 )
          | ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
           != X4 ) )
        & ( ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
            = X4 )
          | ( cZ = X4 ) ) )
    & ! [X5: a > $o] :
        ( ! [X9: a,X8: a] :
            ( ( X8 = X9 )
            | ( ( X5 @ ( cP @ X8 @ X9 ) )
             != $true ) )
        | ? [X6: a,X7: a] :
            ( ( ( X5 @ ( cP @ X7 @ X6 ) )
              = $true )
            & ( ( ( X5 @ ( cP @ ( cL @ X7 ) @ ( cL @ X6 ) ) )
               != $true )
              | ( ( X5 @ ( cP @ ( cR @ X7 ) @ ( cR @ X6 ) ) )
               != $true )
              | ( ( ( cZ != X7 )
                  | ( cZ != X6 ) )
                & ( ( cZ = X7 )
                  | ( cZ = X6 ) ) ) ) ) ) ),
    inference(nnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( cZ
      = ( cL @ cZ ) )
    & ? [X11: a,X10: a] :
        ( ? [X12: a > $o] :
            ( ! [X14: a,X13: a] :
                ( ( ( ( cZ = X14 )
                    | ( cZ != X13 ) )
                  & ( ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) )
                    = $true )
                  & ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
                    = $true ) )
                | ( ( X12 @ ( cP @ X14 @ X13 ) )
                 != $true ) )
            & ( $true
              = ( X12 @ ( cP @ X11 @ X10 ) ) ) )
        & ! [X15: a > $o] :
            ( ( ( X15 @ ( cP @ ( cR @ X11 ) @ ( cR @ X10 ) ) )
             != $true )
            | ? [X16: a,X17: a] :
                ( ( ( X15 @ ( cP @ X16 @ X17 ) )
                  = $true )
                & ( ( ( X15 @ ( cP @ ( cR @ X16 ) @ ( cR @ X17 ) ) )
                   != $true )
                  | ( $true
                   != ( X15 @ ( cP @ ( cL @ X16 ) @ ( cL @ X17 ) ) ) )
                  | ( ( cZ != X16 )
                    & ( cZ = X17 ) ) ) ) ) )
    & ! [X3: a,X2: a] :
        ( ( cL @ ( cP @ X3 @ X2 ) )
        = X3 )
    & ! [X1: a,X0: a] :
        ( ( cR @ ( cP @ X0 @ X1 ) )
        = X1 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X4: a] :
        ( ( cZ != X4 )
      <=> ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
          = X4 ) )
    & ! [X5: a > $o] :
        ( ! [X9: a,X8: a] :
            ( ( X8 = X9 )
            | ( ( X5 @ ( cP @ X8 @ X9 ) )
             != $true ) )
        | ? [X6: a,X7: a] :
            ( ( ( X5 @ ( cP @ X7 @ X6 ) )
              = $true )
            & ( ( ( X5 @ ( cP @ ( cL @ X7 ) @ ( cL @ X6 ) ) )
               != $true )
              | ( ( X5 @ ( cP @ ( cR @ X7 ) @ ( cR @ X6 ) ) )
               != $true )
              | ( ( cZ = X6 )
              <~> ( cZ = X7 ) ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ? [X11: a,X10: a] :
        ( ? [X12: a > $o] :
            ( ! [X14: a,X13: a] :
                ( ( ( ( cZ = X14 )
                    | ( cZ != X13 ) )
                  & ( ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) )
                    = $true )
                  & ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
                    = $true ) )
                | ( ( X12 @ ( cP @ X14 @ X13 ) )
                 != $true ) )
            & ( $true
              = ( X12 @ ( cP @ X11 @ X10 ) ) ) )
        & ! [X15: a > $o] :
            ( ( ( X15 @ ( cP @ ( cR @ X11 ) @ ( cR @ X10 ) ) )
             != $true )
            | ? [X16: a,X17: a] :
                ( ( ( X15 @ ( cP @ X16 @ X17 ) )
                  = $true )
                & ( ( ( X15 @ ( cP @ ( cR @ X16 ) @ ( cR @ X17 ) ) )
                   != $true )
                  | ( $true
                   != ( X15 @ ( cP @ ( cL @ X16 ) @ ( cL @ X17 ) ) ) )
                  | ( ( cZ != X16 )
                    & ( cZ = X17 ) ) ) ) ) )
    & ! [X3: a,X2: a] :
        ( ( cL @ ( cP @ X3 @ X2 ) )
        = X3 )
    & ( cZ
      = ( cL @ cZ ) )
    & ! [X4: a] :
        ( ( cZ != X4 )
      <=> ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
          = X4 ) )
    & ! [X1: a,X0: a] :
        ( ( cR @ ( cP @ X0 @ X1 ) )
        = X1 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X5: a > $o] :
        ( ! [X9: a,X8: a] :
            ( ( X8 = X9 )
            | ( ( X5 @ ( cP @ X8 @ X9 ) )
             != $true ) )
        | ? [X6: a,X7: a] :
            ( ( ( X5 @ ( cP @ X7 @ X6 ) )
              = $true )
            & ( ( ( X5 @ ( cP @ ( cL @ X7 ) @ ( cL @ X6 ) ) )
               != $true )
              | ( ( X5 @ ( cP @ ( cR @ X7 ) @ ( cR @ X6 ) ) )
               != $true )
              | ( ( cZ = X6 )
              <~> ( cZ = X7 ) ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X3: a,X2: a] :
            ( ( cL @ ( cP @ X3 @ X2 ) )
            = X3 )
        & ( cZ
          = ( cL @ cZ ) )
        & ! [X4: a] :
            ( ( cZ != X4 )
          <=> ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
              = X4 ) )
        & ! [X1: a,X0: a] :
            ( ( cR @ ( cP @ X0 @ X1 ) )
            = X1 )
        & ( cZ
          = ( cR @ cZ ) )
        & ! [X5: a > $o] :
            ( ! [X7: a,X6: a] :
                ( ( ( X5 @ ( cP @ X7 @ X6 ) )
                  = $true )
               => ( ( ( X5 @ ( cP @ ( cR @ X7 ) @ ( cR @ X6 ) ) )
                    = $true )
                  & ( ( cZ = X6 )
                  <=> ( cZ = X7 ) )
                  & ( ( X5 @ ( cP @ ( cL @ X7 ) @ ( cL @ X6 ) ) )
                    = $true ) ) )
           => ! [X8: a,X9: a] :
                ( ( ( X5 @ ( cP @ X8 @ X9 ) )
                  = $true )
               => ( X8 = X9 ) ) ) )
     => ! [X10: a,X11: a] :
          ( ? [X12: a > $o] :
              ( ! [X14: a,X13: a] :
                  ( ( ( X12 @ ( cP @ X14 @ X13 ) )
                    = $true )
                 => ( ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
                      = $true )
                    & ( ( cZ = X13 )
                     => ( cZ = X14 ) )
                    & ( ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) )
                      = $true ) ) )
              & ( $true
                = ( X12 @ ( cP @ X11 @ X10 ) ) ) )
         => ? [X15: a > $o] :
              ( ! [X17: a,X16: a] :
                  ( ( ( X15 @ ( cP @ X16 @ X17 ) )
                    = $true )
                 => ( ( $true
                      = ( X15 @ ( cP @ ( cL @ X16 ) @ ( cL @ X17 ) ) ) )
                    & ( ( cZ = X17 )
                     => ( cZ = X16 ) )
                    & ( ( X15 @ ( cP @ ( cR @ X16 ) @ ( cR @ X17 ) ) )
                      = $true ) ) )
              & ( ( X15 @ ( cP @ ( cR @ X11 ) @ ( cR @ X10 ) ) )
                = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a,X1: a] :
            ( ( cR @ ( cP @ X0 @ X1 ) )
            = X1 )
        & ( cZ
          = ( cL @ cZ ) )
        & ! [X2: a,X3: a] :
            ( ( cL @ ( cP @ X3 @ X2 ) )
            = X3 )
        & ! [X4: a] :
            ( ( cZ != X4 )
          <=> ( ( cP @ ( cL @ X4 ) @ ( cR @ X4 ) )
              = X4 ) )
        & ( cZ
          = ( cR @ cZ ) )
        & ! [X5: a > $o] :
            ( ! [X6: a,X7: a] :
                ( ( X5 @ ( cP @ X7 @ X6 ) )
               => ( ( X5 @ ( cP @ ( cR @ X7 ) @ ( cR @ X6 ) ) )
                  & ( X5 @ ( cP @ ( cL @ X7 ) @ ( cL @ X6 ) ) )
                  & ( ( cZ = X7 )
                  <=> ( cZ = X6 ) ) ) )
           => ! [X8: a,X9: a] :
                ( ( X5 @ ( cP @ X8 @ X9 ) )
               => ( X8 = X9 ) ) ) )
     => ! [X10: a,X11: a] :
          ( ? [X12: a > $o] :
              ( ( X12 @ ( cP @ X11 @ X10 ) )
              & ! [X13: a,X14: a] :
                  ( ( X12 @ ( cP @ X14 @ X13 ) )
                 => ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
                    & ( ( cZ = X13 )
                     => ( cZ = X14 ) )
                    & ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) ) ) ) )
         => ? [X15: a > $o] :
              ( ! [X16: a,X17: a] :
                  ( ( X15 @ ( cP @ X16 @ X17 ) )
                 => ( ( X15 @ ( cP @ ( cR @ X16 ) @ ( cR @ X17 ) ) )
                    & ( ( cZ = X17 )
                     => ( cZ = X16 ) )
                    & ( X15 @ ( cP @ ( cL @ X16 ) @ ( cL @ X17 ) ) ) ) )
              & ( X15 @ ( cP @ ( cR @ X11 ) @ ( cR @ X10 ) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X0: a,X1: a] :
            ( ( cR @ ( cP @ X0 @ X1 ) )
            = X1 )
        & ( cZ
          = ( cL @ cZ ) )
        & ! [X1: a,X0: a] :
            ( ( cL @ ( cP @ X0 @ X1 ) )
            = X0 )
        & ! [X2: a] :
            ( ( cZ != X2 )
          <=> ( ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) )
              = X2 ) )
        & ( cZ
          = ( cR @ cZ ) )
        & ! [X3: a > $o] :
            ( ! [X4: a,X2: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                  & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
                  & ( ( cZ = X2 )
                  <=> ( cZ = X4 ) ) ) )
           => ! [X2: a,X4: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( X2 = X4 ) ) ) )
     => ! [X1: a,X0: a] :
          ( ? [X3: a > $o] :
              ( ( X3 @ ( cP @ X0 @ X1 ) )
              & ! [X4: a,X2: a] :
                  ( ( X3 @ ( cP @ X2 @ X4 ) )
                 => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                    & ( ( cZ = X4 )
                     => ( cZ = X2 ) )
                    & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) ) )
         => ? [X3: a > $o] :
              ( ! [X2: a,X4: a] :
                  ( ( X3 @ ( cP @ X2 @ X4 ) )
                 => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                    & ( ( cZ = X4 )
                     => ( cZ = X2 ) )
                    & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
              & ( X3 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X0: a,X1: a] :
          ( ( cR @ ( cP @ X0 @ X1 ) )
          = X1 )
      & ( cZ
        = ( cL @ cZ ) )
      & ! [X1: a,X0: a] :
          ( ( cL @ ( cP @ X0 @ X1 ) )
          = X0 )
      & ! [X2: a] :
          ( ( cZ != X2 )
        <=> ( ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) )
            = X2 ) )
      & ( cZ
        = ( cR @ cZ ) )
      & ! [X3: a > $o] :
          ( ! [X4: a,X2: a] :
              ( ( X3 @ ( cP @ X2 @ X4 ) )
             => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
                & ( ( cZ = X2 )
                <=> ( cZ = X4 ) ) ) )
         => ! [X2: a,X4: a] :
              ( ( X3 @ ( cP @ X2 @ X4 ) )
             => ( X2 = X4 ) ) ) )
   => ! [X1: a,X0: a] :
        ( ? [X3: a > $o] :
            ( ( X3 @ ( cP @ X0 @ X1 ) )
            & ! [X4: a,X2: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                  & ( ( cZ = X4 )
                   => ( cZ = X2 ) )
                  & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) ) )
       => ? [X3: a > $o] :
            ( ! [X2: a,X4: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                  & ( ( cZ = X4 )
                   => ( cZ = X2 ) )
                  & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
            & ( X3 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPU_LEM2C_pme) ).

thf(f438,plain,
    ( ( ( sK2 @ ( cP @ cZ @ ( cL @ cZ ) ) )
     != $true )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(forward_demodulation,[],[f437,f92]) ).

thf(f92,plain,
    ( ( cZ
      = ( sK4 @ sK2 ) )
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f90]) ).

thf(f90,plain,
    ( spl7_1
  <=> ( cZ
      = ( sK4 @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

thf(f437,plain,
    ( ( ( sK2 @ ( cP @ cZ @ ( cL @ ( sK4 @ sK2 ) ) ) )
     != $true )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(forward_demodulation,[],[f436,f30]) ).

thf(f436,plain,
    ( ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13
    | ~ spl7_17 ),
    inference(subsumption_resolution,[],[f435,f428]) ).

thf(f435,plain,
    ( ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ( $true
     != ( sK2 @ ( cP @ cZ @ cZ ) ) )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13 ),
    inference(forward_demodulation,[],[f434,f20]) ).

thf(f20,plain,
    ( cZ
    = ( cR @ cZ ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f434,plain,
    ( ( ( sK2 @ ( cP @ cZ @ ( cR @ cZ ) ) )
     != $true )
    | ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_13 ),
    inference(forward_demodulation,[],[f433,f92]) ).

thf(f433,plain,
    ( ( ( sK2 @ ( cP @ cZ @ ( cR @ ( sK4 @ sK2 ) ) ) )
     != $true )
    | ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ~ spl7_2
    | ~ spl7_13 ),
    inference(forward_demodulation,[],[f432,f20]) ).

thf(f432,plain,
    ( ( $true
     != ( sK2 @ ( cP @ ( cR @ cZ ) @ ( cR @ ( sK4 @ sK2 ) ) ) ) )
    | ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ~ spl7_2
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f429,f95]) ).

thf(f95,plain,
    ( ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
      = $true )
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f94]) ).

thf(f94,plain,
    ( spl7_2
  <=> ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

thf(f429,plain,
    ( ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ( $true
     != ( sK2 @ ( cP @ ( cR @ cZ ) @ ( cR @ ( sK4 @ sK2 ) ) ) ) )
    | ~ spl7_13 ),
    inference(trivial_inequality_removal,[],[f425]) ).

thf(f425,plain,
    ( ( $true
     != ( sK2 @ ( cP @ ( cL @ cZ ) @ ( cL @ ( sK4 @ sK2 ) ) ) ) )
    | ( $true
     != ( sK2 @ ( cP @ ( cR @ cZ ) @ ( cR @ ( sK4 @ sK2 ) ) ) ) )
    | ( cZ != cZ )
    | ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ~ spl7_13 ),
    inference(superposition,[],[f24,f352]) ).

thf(f24,plain,
    ! [X5: a > $o] :
      ( ( $true
       != ( X5 @ ( cP @ ( cL @ ( sK3 @ X5 ) ) @ ( cL @ ( sK4 @ X5 ) ) ) ) )
      | ( ( X5 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
       != $true )
      | ( ( X5 @ ( cP @ ( cR @ ( sK3 @ X5 ) ) @ ( cR @ ( sK4 @ X5 ) ) ) )
       != $true )
      | ( cZ
       != ( sK3 @ X5 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f423,plain,
    ( spl7_13
    | ~ spl7_17 ),
    inference(avatar_contradiction_clause,[],[f422]) ).

thf(f422,plain,
    ( $false
    | spl7_13
    | ~ spl7_17 ),
    inference(subsumption_resolution,[],[f419,f353]) ).

thf(f353,plain,
    ( ( cZ
     != ( sK3 @ sK2 ) )
    | spl7_13 ),
    inference(avatar_component_clause,[],[f351]) ).

thf(f419,plain,
    ( ( cZ
      = ( sK3 @ sK2 ) )
    | ~ spl7_17 ),
    inference(trivial_inequality_removal,[],[f418]) ).

thf(f418,plain,
    ( ( cZ
      = ( sK3 @ sK2 ) )
    | ( $true != $true )
    | ~ spl7_17 ),
    inference(superposition,[],[f31,f399]) ).

thf(f31,plain,
    ! [X3: a] :
      ( ( ( sK2 @ ( cP @ X3 @ cZ ) )
       != $true )
      | ( cZ = X3 ) ),
    inference(equality_resolution,[],[f29]) ).

thf(f29,plain,
    ! [X3: a,X4: a] :
      ( ( cZ = X3 )
      | ( cZ != X4 )
      | ( ( sK2 @ ( cP @ X3 @ X4 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f400,plain,
    ( ~ spl7_2
    | spl7_17
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f380,f90,f397,f94]) ).

thf(f380,plain,
    ( ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ cZ ) )
      = $true )
    | ~ spl7_1 ),
    inference(superposition,[],[f25,f92]) ).

thf(f25,plain,
    ! [X5: a > $o] :
      ( ( $true
        = ( X5 @ ( cP @ ( sK3 @ X5 ) @ ( sK4 @ X5 ) ) ) )
      | ( ( X5 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f347,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f346]) ).

thf(f346,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f345,f26]) ).

thf(f26,plain,
    ( ( sK2 @ ( cP @ sK0 @ sK1 ) )
    = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f345,plain,
    ( ( ( sK2 @ ( cP @ sK0 @ sK1 ) )
     != $true )
    | spl7_2 ),
    inference(trivial_inequality_removal,[],[f344]) ).

thf(f344,plain,
    ( ( $true != $true )
    | ( ( sK2 @ ( cP @ sK0 @ sK1 ) )
     != $true )
    | spl7_2 ),
    inference(superposition,[],[f96,f27]) ).

thf(f27,plain,
    ! [X3: a,X4: a] :
      ( ( ( sK2 @ ( cP @ ( cR @ X3 ) @ ( cR @ X4 ) ) )
        = $true )
      | ( ( sK2 @ ( cP @ X3 @ X4 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f96,plain,
    ( ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | spl7_2 ),
    inference(avatar_component_clause,[],[f94]) ).

thf(f97,plain,
    ( spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f88,f94,f90]) ).

thf(f88,plain,
    ( ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ( cZ
      = ( sK4 @ sK2 ) ) ),
    inference(subsumption_resolution,[],[f87,f25]) ).

thf(f87,plain,
    ( ( cZ
      = ( sK4 @ sK2 ) )
    | ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ ( sK4 @ sK2 ) ) )
     != $true )
    | ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true ) ),
    inference(subsumption_resolution,[],[f86,f27]) ).

thf(f86,plain,
    ( ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ( cZ
      = ( sK4 @ sK2 ) )
    | ( ( sK2 @ ( cP @ ( cR @ ( sK3 @ sK2 ) ) @ ( cR @ ( sK4 @ sK2 ) ) ) )
     != $true )
    | ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ ( sK4 @ sK2 ) ) )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f76]) ).

thf(f76,plain,
    ( ( ( sK2 @ ( cP @ ( sK3 @ sK2 ) @ ( sK4 @ sK2 ) ) )
     != $true )
    | ( ( sK2 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( cZ
      = ( sK4 @ sK2 ) )
    | ( ( sK2 @ ( cP @ ( cR @ ( sK3 @ sK2 ) ) @ ( cR @ ( sK4 @ sK2 ) ) ) )
     != $true ) ),
    inference(superposition,[],[f23,f28]) ).

thf(f28,plain,
    ! [X3: a,X4: a] :
      ( ( ( sK2 @ ( cP @ ( cL @ X3 ) @ ( cL @ X4 ) ) )
        = $true )
      | ( ( sK2 @ ( cP @ X3 @ X4 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f23,plain,
    ! [X5: a > $o] :
      ( ( $true
       != ( X5 @ ( cP @ ( cL @ ( sK3 @ X5 ) ) @ ( cL @ ( sK4 @ X5 ) ) ) ) )
      | ( ( X5 @ ( cP @ ( cR @ ( sK3 @ X5 ) ) @ ( cR @ ( sK4 @ X5 ) ) ) )
       != $true )
      | ( ( X5 @ ( cP @ ( cR @ sK0 ) @ ( cR @ sK1 ) ) )
       != $true )
      | ( cZ
        = ( sK4 @ X5 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU974^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 15:55:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % (9184)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.36  % (9188)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37  % (9189)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37  % (9189)Instruction limit reached!
% 0.13/0.37  % (9189)------------------------------
% 0.13/0.37  % (9189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (9189)Termination reason: Unknown
% 0.13/0.37  % (9189)Termination phase: Preprocessing 3
% 0.13/0.37  
% 0.13/0.37  % (9189)Memory used [KB]: 1023
% 0.13/0.37  % (9189)Time elapsed: 0.003 s
% 0.13/0.37  % (9189)Instructions burned: 3 (million)
% 0.13/0.37  % (9189)------------------------------
% 0.13/0.37  % (9189)------------------------------
% 0.13/0.38  % (9188)Instruction limit reached!
% 0.13/0.38  % (9188)------------------------------
% 0.13/0.38  % (9188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (9188)Termination reason: Unknown
% 0.13/0.38  % (9188)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (9188)Memory used [KB]: 5628
% 0.13/0.38  % (9188)Time elapsed: 0.014 s
% 0.13/0.38  % (9188)Instructions burned: 18 (million)
% 0.13/0.38  % (9188)------------------------------
% 0.13/0.38  % (9188)------------------------------
% 0.13/0.38  % (9185)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38  % (9183)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.38  % (9185)Instruction limit reached!
% 0.13/0.38  % (9185)------------------------------
% 0.13/0.38  % (9185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (9185)Termination reason: Unknown
% 0.13/0.38  % (9185)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (9185)Memory used [KB]: 895
% 0.13/0.38  % (9185)Time elapsed: 0.002 s
% 0.13/0.38  % (9185)Instructions burned: 2 (million)
% 0.13/0.38  % (9185)------------------------------
% 0.13/0.38  % (9185)------------------------------
% 0.13/0.38  % (9183)Instruction limit reached!
% 0.13/0.38  % (9183)------------------------------
% 0.13/0.38  % (9183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (9183)Termination reason: Unknown
% 0.13/0.38  % (9183)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (9183)Memory used [KB]: 5500
% 0.13/0.38  % (9183)Time elapsed: 0.005 s
% 0.13/0.38  % (9183)Instructions burned: 5 (million)
% 0.13/0.38  % (9183)------------------------------
% 0.13/0.38  % (9183)------------------------------
% 0.13/0.38  % (9186)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38  % (9186)Instruction limit reached!
% 0.13/0.38  % (9186)------------------------------
% 0.13/0.38  % (9186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (9186)Termination reason: Unknown
% 0.13/0.38  % (9186)Termination phase: Property scanning
% 0.13/0.38  
% 0.13/0.38  % (9186)Memory used [KB]: 1023
% 0.13/0.38  % (9186)Time elapsed: 0.003 s
% 0.13/0.38  % (9186)Instructions burned: 2 (million)
% 0.13/0.38  % (9186)------------------------------
% 0.13/0.38  % (9186)------------------------------
% 0.13/0.38  % (9184)Instruction limit reached!
% 0.13/0.38  % (9184)------------------------------
% 0.13/0.38  % (9184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (9184)Termination reason: Unknown
% 0.13/0.38  % (9184)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (9184)Memory used [KB]: 5628
% 0.13/0.38  % (9184)Time elapsed: 0.021 s
% 0.13/0.38  % (9184)Instructions burned: 28 (million)
% 0.13/0.38  % (9184)------------------------------
% 0.13/0.38  % (9184)------------------------------
% 0.13/0.38  % (9190)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)
% 0.13/0.39  % (9182)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39  % (9187)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.39  % (9192)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)
% 0.13/0.39  % (9191)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)
% 0.13/0.39  % (9192)Instruction limit reached!
% 0.13/0.39  % (9192)------------------------------
% 0.13/0.39  % (9192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (9192)Termination reason: Unknown
% 0.13/0.39  % (9192)Termination phase: Preprocessing 3
% 0.13/0.39  
% 0.13/0.39  % (9192)Memory used [KB]: 1023
% 0.13/0.39  % (9192)Time elapsed: 0.003 s
% 0.13/0.39  % (9192)Instructions burned: 3 (million)
% 0.13/0.39  % (9192)------------------------------
% 0.13/0.39  % (9192)------------------------------
% 0.13/0.40  % (9194)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.40  % (9193)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)
% 0.13/0.40  % (9195)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.40  % (9194)Instruction limit reached!
% 0.19/0.40  % (9194)------------------------------
% 0.19/0.40  % (9194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (9194)Termination reason: Unknown
% 0.19/0.40  % (9194)Termination phase: Saturation
% 0.19/0.40  
% 0.19/0.40  % (9194)Memory used [KB]: 1023
% 0.19/0.40  % (9194)Time elapsed: 0.006 s
% 0.19/0.40  % (9194)Instructions burned: 7 (million)
% 0.19/0.40  % (9194)------------------------------
% 0.19/0.40  % (9194)------------------------------
% 0.19/0.40  % (9191)Instruction limit reached!
% 0.19/0.40  % (9191)------------------------------
% 0.19/0.40  % (9191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (9191)Termination reason: Unknown
% 0.19/0.40  % (9191)Termination phase: Saturation
% 0.19/0.40  
% 0.19/0.40  % (9191)Memory used [KB]: 5628
% 0.19/0.40  % (9191)Time elapsed: 0.011 s
% 0.19/0.40  % (9191)Instructions burned: 15 (million)
% 0.19/0.40  % (9191)------------------------------
% 0.19/0.40  % (9191)------------------------------
% 0.19/0.40  % (9190)Instruction limit reached!
% 0.19/0.40  % (9190)------------------------------
% 0.19/0.40  % (9190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (9190)Termination reason: Unknown
% 0.19/0.40  % (9190)Termination phase: Saturation
% 0.19/0.40  
% 0.19/0.40  % (9190)Memory used [KB]: 5628
% 0.19/0.40  % (9190)Time elapsed: 0.019 s
% 0.19/0.40  % (9190)Instructions burned: 38 (million)
% 0.19/0.40  % (9190)------------------------------
% 0.19/0.40  % (9190)------------------------------
% 0.19/0.40  % (9195)Instruction limit reached!
% 0.19/0.40  % (9195)------------------------------
% 0.19/0.40  % (9195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (9195)Termination reason: Unknown
% 0.19/0.40  % (9195)Termination phase: Saturation
% 0.19/0.40  
% 0.19/0.40  % (9195)Memory used [KB]: 5628
% 0.19/0.40  % (9195)Time elapsed: 0.010 s
% 0.19/0.40  % (9195)Instructions burned: 16 (million)
% 0.19/0.40  % (9195)------------------------------
% 0.19/0.40  % (9195)------------------------------
% 0.19/0.41  % (9196)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)
% 0.19/0.41  % (9196)Instruction limit reached!
% 0.19/0.41  % (9196)------------------------------
% 0.19/0.41  % (9196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (9196)Termination reason: Unknown
% 0.19/0.41  % (9196)Termination phase: Preprocessing 3
% 0.19/0.41  
% 0.19/0.41  % (9196)Memory used [KB]: 1023
% 0.19/0.41  % (9196)Time elapsed: 0.003 s
% 0.19/0.41  % (9196)Instructions burned: 3 (million)
% 0.19/0.41  % (9196)------------------------------
% 0.19/0.41  % (9196)------------------------------
% 0.19/0.41  % (9197)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)
% 0.19/0.41  % (9198)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)
% 0.19/0.42  % (9197)Instruction limit reached!
% 0.19/0.42  % (9197)------------------------------
% 0.19/0.42  % (9197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (9197)Termination reason: Unknown
% 0.19/0.42  % (9197)Termination phase: Preprocessing 3
% 0.19/0.42  
% 0.19/0.42  % (9197)Memory used [KB]: 1023
% 0.19/0.42  % (9197)Time elapsed: 0.003 s
% 0.19/0.42  % (9197)Instructions burned: 3 (million)
% 0.19/0.42  % (9197)------------------------------
% 0.19/0.42  % (9197)------------------------------
% 0.19/0.42  % (9198)Instruction limit reached!
% 0.19/0.42  % (9198)------------------------------
% 0.19/0.42  % (9198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (9198)Termination reason: Unknown
% 0.19/0.42  % (9198)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (9198)Memory used [KB]: 5500
% 0.19/0.42  % (9198)Time elapsed: 0.006 s
% 0.19/0.42  % (9198)Instructions burned: 7 (million)
% 0.19/0.42  % (9198)------------------------------
% 0.19/0.42  % (9198)------------------------------
% 0.19/0.42  % (9200)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.42  % (9200)Instruction limit reached!
% 0.19/0.42  % (9200)------------------------------
% 0.19/0.42  % (9200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (9200)Termination reason: Unknown
% 0.19/0.42  % (9200)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (9200)Memory used [KB]: 5500
% 0.19/0.42  % (9200)Time elapsed: 0.004 s
% 0.19/0.42  % (9200)Instructions burned: 5 (million)
% 0.19/0.42  % (9200)------------------------------
% 0.19/0.42  % (9200)------------------------------
% 0.19/0.42  % (9199)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)
% 0.19/0.42  % (9199)Instruction limit reached!
% 0.19/0.42  % (9199)------------------------------
% 0.19/0.42  % (9199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (9199)Termination reason: Unknown
% 0.19/0.42  % (9199)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (9199)Memory used [KB]: 5500
% 0.19/0.42  % (9199)Time elapsed: 0.003 s
% 0.19/0.42  % (9199)Instructions burned: 6 (million)
% 0.19/0.42  % (9199)------------------------------
% 0.19/0.42  % (9199)------------------------------
% 0.19/0.43  % (9202)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.43  % (9205)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)
% 0.19/0.43  % (9187)First to succeed.
% 0.19/0.43  % (9201)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)
% 0.19/0.44  % (9204)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)
% 0.19/0.44  % (9203)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.44  % (9205)Instruction limit reached!
% 0.19/0.44  % (9205)------------------------------
% 0.19/0.44  % (9205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (9205)Termination reason: Unknown
% 0.19/0.44  % (9205)Termination phase: Saturation
% 0.19/0.44  
% 0.19/0.44  % (9205)Memory used [KB]: 5756
% 0.19/0.44  % (9205)Time elapsed: 0.009 s
% 0.19/0.44  % (9205)Instructions burned: 22 (million)
% 0.19/0.44  % (9205)------------------------------
% 0.19/0.44  % (9205)------------------------------
% 0.19/0.44  % (9187)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Theorem for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44  % (9187)------------------------------
% 0.19/0.44  % (9187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (9187)Termination reason: Refutation
% 0.19/0.44  
% 0.19/0.44  % (9187)Memory used [KB]: 5884
% 0.19/0.44  % (9187)Time elapsed: 0.079 s
% 0.19/0.44  % (9187)Instructions burned: 61 (million)
% 0.19/0.44  % (9187)------------------------------
% 0.19/0.44  % (9187)------------------------------
% 0.19/0.44  % (9181)Success in time 0.08 s
% 0.19/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------