TSTP Solution File: SEU975^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU975^5 : 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 0.14s 0.42s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   80 (   3 unt;  14 typ;   0 def)
%            Number of atoms       :  687 ( 339 equ;   0 cnn)
%            Maximal formula atoms :   29 (  10 avg)
%            Number of connectives : 1603 ( 187   ~; 171   |; 149   &;1038   @)
%                                         (  16 <=>;  40  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   49 (  49   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;  11 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 > $o ) > a ).

thf(func_def_9,type,
    sK1: ( a > $o ) > a ).

thf(func_def_10,type,
    sK2: a ).

thf(func_def_11,type,
    sK3: a ).

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

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(f284,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f227,f231,f242,f256,f267,f283]) ).

thf(f283,plain,
    ( ~ spl7_3
    | ~ spl7_5
    | spl7_14
    | ~ spl7_15 ),
    inference(avatar_contradiction_clause,[],[f282]) ).

thf(f282,plain,
    ( $false
    | ~ spl7_3
    | ~ spl7_5
    | spl7_14
    | ~ spl7_15 ),
    inference(subsumption_resolution,[],[f271,f217]) ).

thf(f217,plain,
    ( ( ( sK4 @ ( cP @ cZ @ cZ ) )
     != $true )
    | spl7_14 ),
    inference(avatar_component_clause,[],[f216]) ).

thf(f216,plain,
    ( spl7_14
  <=> ( ( sK4 @ ( cP @ cZ @ cZ ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).

thf(f271,plain,
    ( ( ( sK4 @ ( cP @ cZ @ cZ ) )
      = $true )
    | ~ spl7_3
    | ~ spl7_5
    | ~ spl7_15 ),
    inference(superposition,[],[f246,f236]) ).

thf(f236,plain,
    ( ( cZ
      = ( sK5 @ sK4 ) )
    | ~ spl7_15 ),
    inference(avatar_component_clause,[],[f235]) ).

thf(f235,plain,
    ( spl7_15
  <=> ( cZ
      = ( sK5 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).

thf(f246,plain,
    ( ( $true
      = ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ cZ ) ) )
    | ~ spl7_3
    | ~ spl7_5 ),
    inference(subsumption_resolution,[],[f245,f104]) ).

thf(f104,plain,
    ( ( $true
      = ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f103]) ).

thf(f103,plain,
    ( spl7_3
  <=> ( $true
      = ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

thf(f245,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( $true
      = ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ cZ ) ) )
    | ~ spl7_5 ),
    inference(superposition,[],[f22,f113]) ).

thf(f113,plain,
    ( ( cZ
      = ( sK6 @ sK4 ) )
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f111]) ).

thf(f111,plain,
    ( spl7_5
  <=> ( cZ
      = ( sK6 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

thf(f22,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( X10 @ ( cP @ ( sK5 @ X10 ) @ ( sK6 @ X10 ) ) ) )
      | ( $true
       != ( X10 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( cZ
      = ( cL @ cZ ) )
    & ! [X0: a > $o] :
        ( ( ( $true
            = ( X0 @ ( cP @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) ) ) )
          & ( ( ( ( cZ
                 != ( sK1 @ X0 ) )
                | ( cZ
                 != ( sK0 @ X0 ) ) )
              & ( ( cZ
                  = ( sK1 @ X0 ) )
                | ( cZ
                  = ( sK0 @ X0 ) ) ) )
            | ( $true
             != ( X0 @ ( cP @ ( cR @ ( sK1 @ X0 ) ) @ ( cR @ ( sK0 @ X0 ) ) ) ) )
            | ( $true
             != ( X0 @ ( cP @ ( cL @ ( sK1 @ X0 ) ) @ ( cL @ ( sK0 @ X0 ) ) ) ) ) ) )
        | ! [X3: a,X4: a] :
            ( ( ( X0 @ ( cP @ X3 @ X4 ) )
             != $true )
            | ( X3 = X4 ) ) )
    & ( $true
      = ( sK4 @ ( cP @ sK2 @ sK3 ) ) )
    & ! [X8: a,X9: a] :
        ( ( $true
         != ( sK4 @ ( cP @ X9 @ X8 ) ) )
        | ( ( ( cZ = X9 )
            | ( cZ != X8 ) )
          & ( $true
            = ( sK4 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
          & ( ( sK4 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
            = $true ) ) )
    & ! [X10: a > $o] :
        ( ( ( $true
            = ( X10 @ ( cP @ ( sK5 @ X10 ) @ ( sK6 @ X10 ) ) ) )
          & ( ( $true
             != ( X10 @ ( cP @ ( cL @ ( sK5 @ X10 ) ) @ ( cL @ ( sK6 @ X10 ) ) ) ) )
            | ( ( cZ
               != ( sK5 @ X10 ) )
              & ( cZ
                = ( sK6 @ X10 ) ) )
            | ( ( X10 @ ( cP @ ( cR @ ( sK5 @ X10 ) ) @ ( cR @ ( sK6 @ X10 ) ) ) )
             != $true ) ) )
        | ( $true
         != ( X10 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) )
    & ! [X13: a,X14: a] :
        ( ( cR @ ( cP @ X13 @ X14 ) )
        = X14 )
    & ! [X15: a,X16: a] :
        ( ( cL @ ( cP @ X16 @ X15 ) )
        = X16 )
    & ( cZ
      = ( cR @ cZ ) )
    & ! [X17: a] :
        ( ( ( ( cP @ ( cL @ X17 ) @ ( cR @ X17 ) )
            = X17 )
          | ( cZ = X17 ) )
        & ( ( cZ != X17 )
          | ( ( cP @ ( cL @ X17 ) @ ( cR @ X17 ) )
           != X17 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f9,f13,f12,f11,f10]) ).

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

thf(f11,plain,
    ( ? [X5: a,X6: a] :
        ( ? [X7: a > $o] :
            ( ( $true
              = ( X7 @ ( cP @ X5 @ X6 ) ) )
            & ! [X8: a,X9: a] :
                ( ( $true
                 != ( X7 @ ( cP @ X9 @ X8 ) ) )
                | ( ( ( cZ = X9 )
                    | ( cZ != X8 ) )
                  & ( $true
                    = ( X7 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
                  & ( ( X7 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
                    = $true ) ) ) )
        & ! [X10: a > $o] :
            ( ? [X11: a,X12: a] :
                ( ( $true
                  = ( X10 @ ( cP @ X11 @ X12 ) ) )
                & ( ( $true
                   != ( X10 @ ( cP @ ( cL @ X11 ) @ ( cL @ X12 ) ) ) )
                  | ( ( cZ != X11 )
                    & ( cZ = X12 ) )
                  | ( ( X10 @ ( cP @ ( cR @ X11 ) @ ( cR @ X12 ) ) )
                   != $true ) ) )
            | ( $true
             != ( X10 @ ( cP @ ( cL @ X5 ) @ ( cL @ X6 ) ) ) ) ) )
   => ( ? [X7: a > $o] :
          ( ( $true
            = ( X7 @ ( cP @ sK2 @ sK3 ) ) )
          & ! [X8: a,X9: a] :
              ( ( $true
               != ( X7 @ ( cP @ X9 @ X8 ) ) )
              | ( ( ( cZ = X9 )
                  | ( cZ != X8 ) )
                & ( $true
                  = ( X7 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
                & ( ( X7 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
                  = $true ) ) ) )
      & ! [X10: a > $o] :
          ( ? [X11: a,X12: a] :
              ( ( $true
                = ( X10 @ ( cP @ X11 @ X12 ) ) )
              & ( ( $true
                 != ( X10 @ ( cP @ ( cL @ X11 ) @ ( cL @ X12 ) ) ) )
                | ( ( cZ != X11 )
                  & ( cZ = X12 ) )
                | ( ( X10 @ ( cP @ ( cR @ X11 ) @ ( cR @ X12 ) ) )
                 != $true ) ) )
          | ( $true
           != ( X10 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X7: a > $o] :
        ( ( $true
          = ( X7 @ ( cP @ sK2 @ sK3 ) ) )
        & ! [X8: a,X9: a] :
            ( ( $true
             != ( X7 @ ( cP @ X9 @ X8 ) ) )
            | ( ( ( cZ = X9 )
                | ( cZ != X8 ) )
              & ( $true
                = ( X7 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
              & ( ( X7 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
                = $true ) ) ) )
   => ( ( $true
        = ( sK4 @ ( cP @ sK2 @ sK3 ) ) )
      & ! [X9: a,X8: a] :
          ( ( $true
           != ( sK4 @ ( cP @ X9 @ X8 ) ) )
          | ( ( ( cZ = X9 )
              | ( cZ != X8 ) )
            & ( $true
              = ( sK4 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
            & ( ( sK4 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
              = $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X10: a > $o] :
      ( ? [X11: a,X12: a] :
          ( ( $true
            = ( X10 @ ( cP @ X11 @ X12 ) ) )
          & ( ( $true
             != ( X10 @ ( cP @ ( cL @ X11 ) @ ( cL @ X12 ) ) ) )
            | ( ( cZ != X11 )
              & ( cZ = X12 ) )
            | ( ( X10 @ ( cP @ ( cR @ X11 ) @ ( cR @ X12 ) ) )
             != $true ) ) )
     => ( ( $true
          = ( X10 @ ( cP @ ( sK5 @ X10 ) @ ( sK6 @ X10 ) ) ) )
        & ( ( $true
           != ( X10 @ ( cP @ ( cL @ ( sK5 @ X10 ) ) @ ( cL @ ( sK6 @ X10 ) ) ) ) )
          | ( ( cZ
             != ( sK5 @ X10 ) )
            & ( cZ
              = ( sK6 @ X10 ) ) )
          | ( ( X10 @ ( cP @ ( cR @ ( sK5 @ X10 ) ) @ ( cR @ ( sK6 @ X10 ) ) ) )
           != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

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

thf(f1,conjecture,
    ( ( ! [X0: a,X1: a] :
          ( ( cL @ ( cP @ X0 @ X1 ) )
          = X0 )
      & ! [X3: a > $o] :
          ( ! [X2: a,X4: a] :
              ( ( X3 @ ( cP @ X2 @ X4 ) )
             => ( ( ( cZ = X4 )
                <=> ( cZ = X2 ) )
                & ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
         => ! [X2: a,X4: a] :
              ( ( X3 @ ( cP @ X2 @ X4 ) )
             => ( X2 = X4 ) ) )
      & ( cZ
        = ( cL @ cZ ) )
      & ! [X2: a] :
          ( ( cZ != X2 )
        <=> ( ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) )
            = X2 ) )
      & ! [X1: a,X0: a] :
          ( ( cR @ ( cP @ X0 @ X1 ) )
          = X1 )
      & ( cZ
        = ( cR @ cZ ) ) )
   => ! [X0: a,X1: a] :
        ( ? [X3: a > $o] :
            ( ! [X2: a,X4: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( ( ( cZ = X4 )
                   => ( cZ = X2 ) )
                  & ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                  & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
            & ( X3 @ ( cP @ X0 @ X1 ) ) )
       => ? [X3: a > $o] :
            ( ! [X4: a,X2: a] :
                ( ( X3 @ ( cP @ X2 @ X4 ) )
               => ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
                  & ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
                  & ( ( cZ = X4 )
                   => ( cZ = X2 ) ) ) )
            & ( X3 @ ( cP @ ( cL @ X0 ) @ ( cL @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPU_LEM2B_pme) ).

thf(f267,plain,
    ( ~ spl7_14
    | ~ spl7_5
    | ~ spl7_15
    | spl7_16 ),
    inference(avatar_split_clause,[],[f266,f239,f235,f111,f216]) ).

thf(f239,plain,
    ( spl7_16
  <=> ( $true
      = ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).

thf(f266,plain,
    ( ( ( sK4 @ ( cP @ cZ @ cZ ) )
     != $true )
    | ~ spl7_5
    | ~ spl7_15
    | spl7_16 ),
    inference(forward_demodulation,[],[f265,f113]) ).

thf(f265,plain,
    ( ( $true
     != ( sK4 @ ( cP @ cZ @ ( sK6 @ sK4 ) ) ) )
    | ~ spl7_15
    | spl7_16 ),
    inference(forward_demodulation,[],[f241,f236]) ).

thf(f241,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | spl7_16 ),
    inference(avatar_component_clause,[],[f239]) ).

thf(f256,plain,
    ( ~ spl7_3
    | ~ spl7_5
    | spl7_15 ),
    inference(avatar_contradiction_clause,[],[f255]) ).

thf(f255,plain,
    ( $false
    | ~ spl7_3
    | ~ spl7_5
    | spl7_15 ),
    inference(subsumption_resolution,[],[f253,f237]) ).

thf(f237,plain,
    ( ( cZ
     != ( sK5 @ sK4 ) )
    | spl7_15 ),
    inference(avatar_component_clause,[],[f235]) ).

thf(f253,plain,
    ( ( cZ
      = ( sK5 @ sK4 ) )
    | ~ spl7_3
    | ~ spl7_5 ),
    inference(trivial_inequality_removal,[],[f250]) ).

thf(f250,plain,
    ( ( $true != $true )
    | ( cZ
      = ( sK5 @ sK4 ) )
    | ~ spl7_3
    | ~ spl7_5 ),
    inference(superposition,[],[f31,f246]) ).

thf(f31,plain,
    ! [X9: a] :
      ( ( ( sK4 @ ( cP @ X9 @ cZ ) )
       != $true )
      | ( cZ = X9 ) ),
    inference(equality_resolution,[],[f25]) ).

thf(f25,plain,
    ! [X8: a,X9: a] :
      ( ( $true
       != ( sK4 @ ( cP @ X9 @ X8 ) ) )
      | ( cZ = X9 )
      | ( cZ != X8 ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f242,plain,
    ( ~ spl7_15
    | ~ spl7_16
    | ~ spl7_3 ),
    inference(avatar_split_clause,[],[f233,f103,f239,f235]) ).

thf(f233,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( cZ
     != ( sK5 @ sK4 ) )
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f232,f24]) ).

thf(f24,plain,
    ! [X8: a,X9: a] :
      ( ( $true
        = ( sK4 @ ( cP @ ( cR @ X9 ) @ ( cR @ X8 ) ) ) )
      | ( $true
       != ( sK4 @ ( cP @ X9 @ X8 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f232,plain,
    ( ( cZ
     != ( sK5 @ sK4 ) )
    | ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f119,f104]) ).

thf(f119,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( cZ
     != ( sK5 @ sK4 ) ) ),
    inference(trivial_inequality_removal,[],[f118]) ).

thf(f118,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( $true != $true )
    | ( cZ
     != ( sK5 @ sK4 ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) ) ),
    inference(superposition,[],[f21,f23]) ).

thf(f23,plain,
    ! [X8: a,X9: a] :
      ( ( ( sK4 @ ( cP @ ( cL @ X9 ) @ ( cL @ X8 ) ) )
        = $true )
      | ( $true
       != ( sK4 @ ( cP @ X9 @ X8 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f21,plain,
    ! [X10: a > $o] :
      ( ( $true
       != ( X10 @ ( cP @ ( cL @ ( sK5 @ X10 ) ) @ ( cL @ ( sK6 @ X10 ) ) ) ) )
      | ( cZ
       != ( sK5 @ X10 ) )
      | ( ( X10 @ ( cP @ ( cR @ ( sK5 @ X10 ) ) @ ( cR @ ( sK6 @ X10 ) ) ) )
       != $true )
      | ( $true
       != ( X10 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f231,plain,
    spl7_3,
    inference(avatar_contradiction_clause,[],[f230]) ).

thf(f230,plain,
    ( $false
    | spl7_3 ),
    inference(subsumption_resolution,[],[f229,f26]) ).

thf(f26,plain,
    ( $true
    = ( sK4 @ ( cP @ sK2 @ sK3 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f229,plain,
    ( ( $true
     != ( sK4 @ ( cP @ sK2 @ sK3 ) ) )
    | spl7_3 ),
    inference(trivial_inequality_removal,[],[f228]) ).

thf(f228,plain,
    ( ( $true
     != ( sK4 @ ( cP @ sK2 @ sK3 ) ) )
    | ( $true != $true )
    | spl7_3 ),
    inference(superposition,[],[f105,f23]) ).

thf(f105,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | spl7_3 ),
    inference(avatar_component_clause,[],[f103]) ).

thf(f227,plain,
    ( ~ spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f226,f107,f103]) ).

thf(f107,plain,
    ( spl7_4
  <=> ( $true
      = ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

thf(f226,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | spl7_4 ),
    inference(trivial_inequality_removal,[],[f225]) ).

thf(f225,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( $true != $true )
    | spl7_4 ),
    inference(superposition,[],[f224,f22]) ).

thf(f224,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | spl7_4 ),
    inference(trivial_inequality_removal,[],[f223]) ).

thf(f223,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( $true != $true )
    | spl7_4 ),
    inference(superposition,[],[f109,f24]) ).

thf(f109,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | spl7_4 ),
    inference(avatar_component_clause,[],[f107]) ).

thf(f114,plain,
    ( ~ spl7_3
    | ~ spl7_4
    | spl7_5 ),
    inference(avatar_split_clause,[],[f101,f111,f107,f103]) ).

thf(f101,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( cZ
      = ( sK6 @ sK4 ) ) ),
    inference(subsumption_resolution,[],[f82,f22]) ).

thf(f82,plain,
    ( ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | ( cZ
      = ( sK6 @ sK4 ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f81]) ).

thf(f81,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK4 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
    | ( cZ
      = ( sK6 @ sK4 ) )
    | ( $true
     != ( sK4 @ ( cP @ ( cR @ ( sK5 @ sK4 ) ) @ ( cR @ ( sK6 @ sK4 ) ) ) ) )
    | ( $true
     != ( sK4 @ ( cP @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) ) ) ) ),
    inference(superposition,[],[f20,f23]) ).

thf(f20,plain,
    ! [X10: a > $o] :
      ( ( $true
       != ( X10 @ ( cP @ ( cL @ ( sK5 @ X10 ) ) @ ( cL @ ( sK6 @ X10 ) ) ) ) )
      | ( cZ
        = ( sK6 @ X10 ) )
      | ( $true
       != ( X10 @ ( cP @ ( cL @ sK2 ) @ ( cL @ sK3 ) ) ) )
      | ( ( X10 @ ( cP @ ( cR @ ( sK5 @ X10 ) ) @ ( cR @ ( sK6 @ X10 ) ) ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU975^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 15:51:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  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
% 0.14/0.37  % (4790)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37  % (4784)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37  % (4785)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)
% 0.14/0.37  % (4786)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)
% 0.14/0.37  % (4788)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)
% 0.14/0.37  % (4788)Instruction limit reached!
% 0.14/0.37  % (4788)------------------------------
% 0.14/0.37  % (4788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (4788)Termination reason: Unknown
% 0.14/0.37  % (4788)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (4788)Memory used [KB]: 1023
% 0.14/0.37  % (4788)Time elapsed: 0.003 s
% 0.14/0.37  % (4788)Instructions burned: 3 (million)
% 0.14/0.37  % (4788)------------------------------
% 0.14/0.37  % (4788)------------------------------
% 0.14/0.37  % (4791)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)
% 0.14/0.38  % (4785)Instruction limit reached!
% 0.14/0.38  % (4785)------------------------------
% 0.14/0.38  % (4785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (4785)Termination reason: Unknown
% 0.14/0.38  % (4785)Termination phase: Equality resolution with deletion
% 0.14/0.38  
% 0.14/0.38  % (4785)Memory used [KB]: 1023
% 0.14/0.38  % (4785)Time elapsed: 0.004 s
% 0.14/0.38  % (4785)Instructions burned: 4 (million)
% 0.14/0.38  % (4785)------------------------------
% 0.14/0.38  % (4785)------------------------------
% 0.14/0.38  % (4791)Instruction limit reached!
% 0.14/0.38  % (4791)------------------------------
% 0.14/0.38  % (4791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (4791)Termination reason: Unknown
% 0.14/0.38  % (4791)Termination phase: Property scanning
% 0.14/0.38  
% 0.14/0.38  % (4791)Memory used [KB]: 1023
% 0.14/0.38  % (4791)Time elapsed: 0.004 s
% 0.14/0.38  % (4791)Instructions burned: 3 (million)
% 0.14/0.38  % (4791)------------------------------
% 0.14/0.38  % (4791)------------------------------
% 0.14/0.38  % (4787)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38  % (4787)Instruction limit reached!
% 0.14/0.38  % (4787)------------------------------
% 0.14/0.38  % (4787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (4787)Termination reason: Unknown
% 0.14/0.38  % (4787)Termination phase: Preprocessing 3
% 0.14/0.38  
% 0.14/0.38  % (4787)Memory used [KB]: 1023
% 0.14/0.38  % (4787)Time elapsed: 0.004 s
% 0.14/0.38  % (4787)Instructions burned: 2 (million)
% 0.14/0.38  % (4787)------------------------------
% 0.14/0.38  % (4787)------------------------------
% 0.14/0.38  % (4790)Instruction limit reached!
% 0.14/0.38  % (4790)------------------------------
% 0.14/0.38  % (4790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (4790)Termination reason: Unknown
% 0.14/0.38  % (4790)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (4790)Memory used [KB]: 5628
% 0.14/0.38  % (4790)Time elapsed: 0.012 s
% 0.14/0.38  % (4790)Instructions burned: 19 (million)
% 0.14/0.38  % (4790)------------------------------
% 0.14/0.38  % (4790)------------------------------
% 0.14/0.39  % (4789)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)
% 0.14/0.39  % (4793)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)
% 0.14/0.39  % (4792)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)
% 0.14/0.39  % (4786)Instruction limit reached!
% 0.14/0.39  % (4786)------------------------------
% 0.14/0.39  % (4786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (4786)Termination reason: Unknown
% 0.14/0.39  % (4786)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (4786)Memory used [KB]: 5628
% 0.14/0.39  % (4786)Time elapsed: 0.020 s
% 0.14/0.39  % (4794)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)
% 0.14/0.39  % (4786)Instructions burned: 27 (million)
% 0.14/0.39  % (4786)------------------------------
% 0.14/0.39  % (4786)------------------------------
% 0.14/0.39  % (4795)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)
% 0.14/0.39  % (4794)Instruction limit reached!
% 0.14/0.39  % (4794)------------------------------
% 0.14/0.39  % (4794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (4794)Termination reason: Unknown
% 0.14/0.39  % (4794)Termination phase: Property scanning
% 0.14/0.39  
% 0.14/0.39  % (4794)Memory used [KB]: 1023
% 0.14/0.39  % (4794)Time elapsed: 0.004 s
% 0.14/0.39  % (4794)Instructions burned: 4 (million)
% 0.14/0.39  % (4794)------------------------------
% 0.14/0.39  % (4794)------------------------------
% 0.14/0.40  % (4793)Instruction limit reached!
% 0.14/0.40  % (4793)------------------------------
% 0.14/0.40  % (4793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (4793)Termination reason: Unknown
% 0.14/0.40  % (4793)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (4793)Memory used [KB]: 5628
% 0.14/0.40  % (4793)Time elapsed: 0.010 s
% 0.14/0.40  % (4793)Instructions burned: 16 (million)
% 0.14/0.40  % (4793)------------------------------
% 0.14/0.40  % (4793)------------------------------
% 0.14/0.40  % (4796)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40  % (4796)Instruction limit reached!
% 0.14/0.40  % (4796)------------------------------
% 0.14/0.40  % (4796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (4796)Termination reason: Unknown
% 0.14/0.40  % (4796)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (4796)Memory used [KB]: 1023
% 0.14/0.40  % (4796)Time elapsed: 0.005 s
% 0.14/0.40  % (4796)Instructions burned: 7 (million)
% 0.14/0.40  % (4796)------------------------------
% 0.14/0.40  % (4796)------------------------------
% 0.14/0.41  % (4797)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.41  % (4798)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)
% 0.14/0.41  % (4798)Instruction limit reached!
% 0.14/0.41  % (4798)------------------------------
% 0.14/0.41  % (4798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (4798)Termination reason: Unknown
% 0.14/0.41  % (4798)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (4798)Memory used [KB]: 1023
% 0.14/0.41  % (4798)Time elapsed: 0.004 s
% 0.14/0.41  % (4798)Instructions burned: 4 (million)
% 0.14/0.41  % (4798)------------------------------
% 0.14/0.41  % (4798)------------------------------
% 0.14/0.41  % (4792)Instruction limit reached!
% 0.14/0.41  % (4792)------------------------------
% 0.14/0.41  % (4792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (4792)Termination reason: Unknown
% 0.14/0.41  % (4792)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (4792)Memory used [KB]: 5628
% 0.14/0.41  % (4792)Time elapsed: 0.023 s
% 0.14/0.41  % (4792)Instructions burned: 38 (million)
% 0.14/0.41  % (4792)------------------------------
% 0.14/0.41  % (4792)------------------------------
% 0.14/0.41  % (4799)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)
% 0.14/0.41  % (4799)Instruction limit reached!
% 0.14/0.41  % (4799)------------------------------
% 0.14/0.41  % (4799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (4799)Termination reason: Unknown
% 0.14/0.41  % (4799)Termination phase: Preprocessing 3
% 0.14/0.41  
% 0.14/0.41  % (4799)Memory used [KB]: 1023
% 0.14/0.41  % (4799)Time elapsed: 0.003 s
% 0.14/0.41  % (4799)Instructions burned: 3 (million)
% 0.14/0.41  % (4799)------------------------------
% 0.14/0.41  % (4799)------------------------------
% 0.14/0.42  % (4789)First to succeed.
% 0.14/0.42  % (4797)Instruction limit reached!
% 0.14/0.42  % (4797)------------------------------
% 0.14/0.42  % (4797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (4797)Termination reason: Unknown
% 0.14/0.42  % (4797)Termination phase: Saturation
% 0.14/0.42  
% 0.14/0.42  % (4797)Memory used [KB]: 5628
% 0.14/0.42  % (4797)Time elapsed: 0.012 s
% 0.14/0.42  % (4797)Instructions burned: 16 (million)
% 0.14/0.42  % (4797)------------------------------
% 0.14/0.42  % (4797)------------------------------
% 0.14/0.42  % (4800)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)
% 0.14/0.42  % (4789)Refutation found. Thanks to Tanya!
% 0.14/0.42  % SZS status Theorem for theBenchmark
% 0.14/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42  % (4789)------------------------------
% 0.14/0.42  % (4789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (4789)Termination reason: Refutation
% 0.14/0.42  
% 0.14/0.42  % (4789)Memory used [KB]: 5884
% 0.14/0.42  % (4789)Time elapsed: 0.058 s
% 0.14/0.42  % (4789)Instructions burned: 44 (million)
% 0.14/0.42  % (4789)------------------------------
% 0.14/0.42  % (4789)------------------------------
% 0.14/0.42  % (4783)Success in time 0.066 s
% 0.14/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------