TSTP Solution File: SEV031^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV031^5 : 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 : n007.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 04:11:46 EDT 2024

% Result   : Theorem 0.25s 0.44s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   92 (   3 unt;  17 typ;   0 def)
%            Number of atoms       :  875 ( 298 equ;   0 cnn)
%            Maximal formula atoms :   28 (  11 avg)
%            Number of connectives : 1393 ( 193   ~; 175   |; 100   &; 865   @)
%                                         (   6 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  313 ( 313   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  19 usr;  10 con; 0-3 aty)
%            Number of variables   :  279 (   0   ^ 205   !;  73   ?; 279   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_7,type,
    b: $tType ).

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

thf(func_def_1,type,
    b: $tType ).

thf(func_def_5,type,
    sP0: ( a > ( a > b ) > ( a > b ) > $o ) > ( a > $o ) > $o ).

thf(func_def_6,type,
    sK1: ( a > ( a > b ) > ( a > b ) > $o ) > ( a > $o ) > a > b ).

thf(func_def_7,type,
    sK2: ( a > ( a > b ) > ( a > b ) > $o ) > ( a > $o ) > a > b ).

thf(func_def_8,type,
    sK3: ( a > ( a > b ) > ( a > b ) > $o ) > ( a > $o ) > a > b ).

thf(func_def_9,type,
    sK4: ( a > ( a > b ) > ( a > b ) > $o ) > ( a > $o ) > a ).

thf(func_def_10,type,
    sK5: a > $o ).

thf(func_def_11,type,
    sK6: a > ( a > b ) > ( a > b ) > $o ).

thf(func_def_12,type,
    sK7: a > b ).

thf(func_def_13,type,
    sK8: a > b ).

thf(func_def_14,type,
    sK9: a ).

thf(func_def_15,type,
    sK10: a > b ).

thf(func_def_16,type,
    sK11: a ).

thf(func_def_18,type,
    ph13: 
      !>[X0: $tType] : X0 ).

thf(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f46,f54,f59,f60,f61,f62,f110,f119,f133]) ).

thf(f133,plain,
    ( spl12_2
    | ~ spl12_4
    | ~ spl12_6 ),
    inference(avatar_contradiction_clause,[],[f132]) ).

thf(f132,plain,
    ( $false
    | spl12_2
    | ~ spl12_4
    | ~ spl12_6 ),
    inference(subsumption_resolution,[],[f130,f58]) ).

thf(f58,plain,
    ( ( $true
      = ( sK5 @ sK9 ) )
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f56,plain,
    ( spl12_6
  <=> ( $true
      = ( sK5 @ sK9 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

thf(f130,plain,
    ( ( $true
     != ( sK5 @ sK9 ) )
    | spl12_2
    | ~ spl12_4
    | ~ spl12_6 ),
    inference(trivial_inequality_removal,[],[f128]) ).

thf(f128,plain,
    ( ( $true
     != ( sK5 @ sK9 ) )
    | ( $true != $true )
    | spl12_2
    | ~ spl12_4
    | ~ spl12_6 ),
    inference(superposition,[],[f125,f49]) ).

thf(f49,plain,
    ( ! [X5: a] :
        ( ( $true
          = ( sK6 @ X5 @ sK8 @ sK7 ) )
        | ( $true
         != ( sK5 @ X5 ) ) )
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f48,plain,
    ( spl12_4
  <=> ! [X5: a] :
        ( ( $true
          = ( sK6 @ X5 @ sK8 @ sK7 ) )
        | ( $true
         != ( sK5 @ X5 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

thf(f125,plain,
    ( ( $true
     != ( sK6 @ sK9 @ sK8 @ sK7 ) )
    | spl12_2
    | ~ spl12_6 ),
    inference(subsumption_resolution,[],[f122,f58]) ).

thf(f122,plain,
    ( ( $true
     != ( sK6 @ sK9 @ sK8 @ sK7 ) )
    | ( $true
     != ( sK5 @ sK9 ) )
    | spl12_2 ),
    inference(trivial_inequality_removal,[],[f121]) ).

thf(f121,plain,
    ( ( $true
     != ( sK5 @ sK9 ) )
    | ( $true
     != ( sK6 @ sK9 @ sK8 @ sK7 ) )
    | ( $true != $true )
    | spl12_2 ),
    inference(superposition,[],[f41,f26]) ).

thf(f26,plain,
    ! [X8: a,X12: a > b,X13: a > b] :
      ( ( $true
        = ( sK6 @ X8 @ X13 @ X12 ) )
      | ( $true
       != ( sK6 @ X8 @ X12 @ X13 ) )
      | ( $true
       != ( sK5 @ X8 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f20,plain,
    ( ( ( ( $true
         != ( sK6 @ sK9 @ sK7 @ sK8 ) )
        & ( $true
          = ( sK5 @ sK9 ) )
        & ! [X5: a] :
            ( ( $true
             != ( sK5 @ X5 ) )
            | ( $true
              = ( sK6 @ X5 @ sK8 @ sK7 ) ) ) )
      | ( ( $true
          = ( sK5 @ sK11 ) )
        & ( ( sK6 @ sK11 @ sK10 @ sK10 )
         != $true ) )
      | ( ( sP0 @ sK6 @ sK5 )
        = $true ) )
    & ! [X8: a] :
        ( ( ! [X9: a > b,X10: a > b,X11: a > b] :
              ( ( $true
               != ( sK6 @ X8 @ X10 @ X11 ) )
              | ( $true
                = ( sK6 @ X8 @ X9 @ X11 ) )
              | ( ( sK6 @ X8 @ X9 @ X10 )
               != $true ) )
          & ! [X12: a > b,X13: a > b] :
              ( ( $true
               != ( sK6 @ X8 @ X12 @ X13 ) )
              | ( $true
                = ( sK6 @ X8 @ X13 @ X12 ) ) )
          & ! [X14: a > b] :
              ( $true
              = ( sK6 @ X8 @ X14 @ X14 ) ) )
        | ( $true
         != ( sK5 @ X8 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f15,f19,f18,f17,f16]) ).

thf(f16,plain,
    ( ? [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
        ( ( ? [X2: a > b,X3: a > b] :
              ( ? [X4: a] :
                  ( ( $true
                   != ( X1 @ X4 @ X2 @ X3 ) )
                  & ( $true
                    = ( X0 @ X4 ) ) )
              & ! [X5: a] :
                  ( ( ( X0 @ X5 )
                   != $true )
                  | ( $true
                    = ( X1 @ X5 @ X3 @ X2 ) ) ) )
          | ? [X6: a > b,X7: a] :
              ( ( ( X0 @ X7 )
                = $true )
              & ( $true
               != ( X1 @ X7 @ X6 @ X6 ) ) )
          | ( ( sP0 @ X1 @ X0 )
            = $true ) )
        & ! [X8: a] :
            ( ( ! [X9: a > b,X10: a > b,X11: a > b] :
                  ( ( $true
                   != ( X1 @ X8 @ X10 @ X11 ) )
                  | ( $true
                    = ( X1 @ X8 @ X9 @ X11 ) )
                  | ( $true
                   != ( X1 @ X8 @ X9 @ X10 ) ) )
              & ! [X12: a > b,X13: a > b] :
                  ( ( ( X1 @ X8 @ X12 @ X13 )
                   != $true )
                  | ( $true
                    = ( X1 @ X8 @ X13 @ X12 ) ) )
              & ! [X14: a > b] :
                  ( $true
                  = ( X1 @ X8 @ X14 @ X14 ) ) )
            | ( ( X0 @ X8 )
             != $true ) ) )
   => ( ( ? [X3: a > b,X2: a > b] :
            ( ? [X4: a] :
                ( ( $true
                 != ( sK6 @ X4 @ X2 @ X3 ) )
                & ( $true
                  = ( sK5 @ X4 ) ) )
            & ! [X5: a] :
                ( ( $true
                 != ( sK5 @ X5 ) )
                | ( $true
                  = ( sK6 @ X5 @ X3 @ X2 ) ) ) )
        | ? [X7: a,X6: a > b] :
            ( ( $true
              = ( sK5 @ X7 ) )
            & ( $true
             != ( sK6 @ X7 @ X6 @ X6 ) ) )
        | ( ( sP0 @ sK6 @ sK5 )
          = $true ) )
      & ! [X8: a] :
          ( ( ! [X11: a > b,X10: a > b,X9: a > b] :
                ( ( $true
                 != ( sK6 @ X8 @ X10 @ X11 ) )
                | ( $true
                  = ( sK6 @ X8 @ X9 @ X11 ) )
                | ( ( sK6 @ X8 @ X9 @ X10 )
                 != $true ) )
            & ! [X13: a > b,X12: a > b] :
                ( ( $true
                 != ( sK6 @ X8 @ X12 @ X13 ) )
                | ( $true
                  = ( sK6 @ X8 @ X13 @ X12 ) ) )
            & ! [X14: a > b] :
                ( $true
                = ( sK6 @ X8 @ X14 @ X14 ) ) )
          | ( $true
           != ( sK5 @ X8 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f17,plain,
    ( ? [X3: a > b,X2: a > b] :
        ( ? [X4: a] :
            ( ( $true
             != ( sK6 @ X4 @ X2 @ X3 ) )
            & ( $true
              = ( sK5 @ X4 ) ) )
        & ! [X5: a] :
            ( ( $true
             != ( sK5 @ X5 ) )
            | ( $true
              = ( sK6 @ X5 @ X3 @ X2 ) ) ) )
   => ( ? [X4: a] :
          ( ( $true
           != ( sK6 @ X4 @ sK7 @ sK8 ) )
          & ( $true
            = ( sK5 @ X4 ) ) )
      & ! [X5: a] :
          ( ( $true
           != ( sK5 @ X5 ) )
          | ( $true
            = ( sK6 @ X5 @ sK8 @ sK7 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f18,plain,
    ( ? [X4: a] :
        ( ( $true
         != ( sK6 @ X4 @ sK7 @ sK8 ) )
        & ( $true
          = ( sK5 @ X4 ) ) )
   => ( ( $true
       != ( sK6 @ sK9 @ sK7 @ sK8 ) )
      & ( $true
        = ( sK5 @ sK9 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f19,plain,
    ( ? [X7: a,X6: a > b] :
        ( ( $true
          = ( sK5 @ X7 ) )
        & ( $true
         != ( sK6 @ X7 @ X6 @ X6 ) ) )
   => ( ( $true
        = ( sK5 @ sK11 ) )
      & ( ( sK6 @ sK11 @ sK10 @ sK10 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ? [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( ? [X2: a > b,X3: a > b] :
            ( ? [X4: a] :
                ( ( $true
                 != ( X1 @ X4 @ X2 @ X3 ) )
                & ( $true
                  = ( X0 @ X4 ) ) )
            & ! [X5: a] :
                ( ( ( X0 @ X5 )
                 != $true )
                | ( $true
                  = ( X1 @ X5 @ X3 @ X2 ) ) ) )
        | ? [X6: a > b,X7: a] :
            ( ( ( X0 @ X7 )
              = $true )
            & ( $true
             != ( X1 @ X7 @ X6 @ X6 ) ) )
        | ( ( sP0 @ X1 @ X0 )
          = $true ) )
      & ! [X8: a] :
          ( ( ! [X9: a > b,X10: a > b,X11: a > b] :
                ( ( $true
                 != ( X1 @ X8 @ X10 @ X11 ) )
                | ( $true
                  = ( X1 @ X8 @ X9 @ X11 ) )
                | ( $true
                 != ( X1 @ X8 @ X9 @ X10 ) ) )
            & ! [X12: a > b,X13: a > b] :
                ( ( ( X1 @ X8 @ X12 @ X13 )
                 != $true )
                | ( $true
                  = ( X1 @ X8 @ X13 @ X12 ) ) )
            & ! [X14: a > b] :
                ( $true
                = ( X1 @ X8 @ X14 @ X14 ) ) )
          | ( ( X0 @ X8 )
           != $true ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,plain,
    ? [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( ? [X10: a > b,X9: a > b] :
            ( ? [X12: a] :
                ( ( $true
                 != ( X1 @ X12 @ X10 @ X9 ) )
                & ( $true
                  = ( X0 @ X12 ) ) )
            & ! [X11: a] :
                ( ( $true
                 != ( X0 @ X11 ) )
                | ( $true
                  = ( X1 @ X11 @ X9 @ X10 ) ) ) )
        | ? [X14: a > b,X13: a] :
            ( ( ( X0 @ X13 )
              = $true )
            & ( $true
             != ( X1 @ X13 @ X14 @ X14 ) ) )
        | ( ( sP0 @ X1 @ X0 )
          = $true ) )
      & ! [X2: a] :
          ( ( ! [X5: a > b,X7: a > b,X6: a > b] :
                ( ( $true
                 != ( X1 @ X2 @ X7 @ X6 ) )
                | ( $true
                  = ( X1 @ X2 @ X5 @ X6 ) )
                | ( ( X1 @ X2 @ X5 @ X7 )
                 != $true ) )
            & ! [X3: a > b,X4: a > b] :
                ( ( ( X1 @ X2 @ X3 @ X4 )
                 != $true )
                | ( ( X1 @ X2 @ X4 @ X3 )
                  = $true ) )
            & ! [X8: a > b] :
                ( ( X1 @ X2 @ X8 @ X8 )
                = $true ) )
          | ( ( X0 @ X2 )
           != $true ) ) ),
    inference(definition_folding,[],[f7,f8]) ).

thf(f8,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ? [X15: a > b,X16: a > b,X17: a > b] :
          ( ? [X20: a] :
              ( ( $true
                = ( X0 @ X20 ) )
              & ( ( X1 @ X20 @ X15 @ X16 )
               != $true ) )
          & ! [X18: a] :
              ( ( ( X0 @ X18 )
               != $true )
              | ( $true
                = ( X1 @ X18 @ X17 @ X16 ) ) )
          & ! [X19: a] :
              ( ( $true
                = ( X1 @ X19 @ X15 @ X17 ) )
              | ( $true
               != ( X0 @ X19 ) ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f7,plain,
    ? [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( ? [X10: a > b,X9: a > b] :
            ( ? [X12: a] :
                ( ( $true
                 != ( X1 @ X12 @ X10 @ X9 ) )
                & ( $true
                  = ( X0 @ X12 ) ) )
            & ! [X11: a] :
                ( ( $true
                 != ( X0 @ X11 ) )
                | ( $true
                  = ( X1 @ X11 @ X9 @ X10 ) ) ) )
        | ? [X14: a > b,X13: a] :
            ( ( ( X0 @ X13 )
              = $true )
            & ( $true
             != ( X1 @ X13 @ X14 @ X14 ) ) )
        | ? [X15: a > b,X16: a > b,X17: a > b] :
            ( ? [X20: a] :
                ( ( $true
                  = ( X0 @ X20 ) )
                & ( ( X1 @ X20 @ X15 @ X16 )
                 != $true ) )
            & ! [X18: a] :
                ( ( ( X0 @ X18 )
                 != $true )
                | ( $true
                  = ( X1 @ X18 @ X17 @ X16 ) ) )
            & ! [X19: a] :
                ( ( $true
                  = ( X1 @ X19 @ X15 @ X17 ) )
                | ( $true
                 != ( X0 @ X19 ) ) ) ) )
      & ! [X2: a] :
          ( ( ! [X5: a > b,X7: a > b,X6: a > b] :
                ( ( $true
                 != ( X1 @ X2 @ X7 @ X6 ) )
                | ( $true
                  = ( X1 @ X2 @ X5 @ X6 ) )
                | ( ( X1 @ X2 @ X5 @ X7 )
                 != $true ) )
            & ! [X3: a > b,X4: a > b] :
                ( ( ( X1 @ X2 @ X3 @ X4 )
                 != $true )
                | ( ( X1 @ X2 @ X4 @ X3 )
                  = $true ) )
            & ! [X8: a > b] :
                ( ( X1 @ X2 @ X8 @ X8 )
                = $true ) )
          | ( ( X0 @ X2 )
           != $true ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ? [X1: a > ( a > b ) > ( a > b ) > $o,X0: a > $o] :
      ( ( ? [X10: a > b,X9: a > b] :
            ( ? [X12: a] :
                ( ( $true
                 != ( X1 @ X12 @ X10 @ X9 ) )
                & ( $true
                  = ( X0 @ X12 ) ) )
            & ! [X11: a] :
                ( ( $true
                 != ( X0 @ X11 ) )
                | ( $true
                  = ( X1 @ X11 @ X9 @ X10 ) ) ) )
        | ? [X14: a > b,X13: a] :
            ( ( ( X0 @ X13 )
              = $true )
            & ( $true
             != ( X1 @ X13 @ X14 @ X14 ) ) )
        | ? [X15: a > b,X17: a > b,X16: a > b] :
            ( ? [X20: a] :
                ( ( $true
                  = ( X0 @ X20 ) )
                & ( ( X1 @ X20 @ X15 @ X16 )
                 != $true ) )
            & ! [X19: a] :
                ( ( $true
                  = ( X1 @ X19 @ X15 @ X17 ) )
                | ( $true
                 != ( X0 @ X19 ) ) )
            & ! [X18: a] :
                ( ( ( X0 @ X18 )
                 != $true )
                | ( $true
                  = ( X1 @ X18 @ X17 @ X16 ) ) ) ) )
      & ! [X2: a] :
          ( ( ! [X7: a > b,X5: a > b,X6: a > b] :
                ( ( $true
                  = ( X1 @ X2 @ X5 @ X6 ) )
                | ( $true
                 != ( X1 @ X2 @ X7 @ X6 ) )
                | ( ( X1 @ X2 @ X5 @ X7 )
                 != $true ) )
            & ! [X8: a > b] :
                ( ( X1 @ X2 @ X8 @ X8 )
                = $true )
            & ! [X3: a > b,X4: a > b] :
                ( ( ( X1 @ X2 @ X3 @ X4 )
                 != $true )
                | ( ( X1 @ X2 @ X4 @ X3 )
                  = $true ) ) )
          | ( ( X0 @ X2 )
           != $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X1: a > ( a > b ) > ( a > b ) > $o,X0: a > $o] :
        ( ! [X2: a] :
            ( ( ( X0 @ X2 )
              = $true )
           => ( ! [X7: a > b,X5: a > b,X6: a > b] :
                  ( ( ( $true
                      = ( X1 @ X2 @ X7 @ X6 ) )
                    & ( ( X1 @ X2 @ X5 @ X7 )
                      = $true ) )
                 => ( $true
                    = ( X1 @ X2 @ X5 @ X6 ) ) )
              & ! [X8: a > b] :
                  ( ( X1 @ X2 @ X8 @ X8 )
                  = $true )
              & ! [X4: a > b,X3: a > b] :
                  ( ( ( X1 @ X2 @ X3 @ X4 )
                    = $true )
                 => ( ( X1 @ X2 @ X4 @ X3 )
                    = $true ) ) ) )
       => ( ! [X10: a > b,X9: a > b] :
              ( ! [X11: a] :
                  ( ( $true
                    = ( X0 @ X11 ) )
                 => ( $true
                    = ( X1 @ X11 @ X9 @ X10 ) ) )
             => ! [X12: a] :
                  ( ( $true
                    = ( X0 @ X12 ) )
                 => ( $true
                    = ( X1 @ X12 @ X10 @ X9 ) ) ) )
          & ! [X13: a,X14: a > b] :
              ( ( ( X0 @ X13 )
                = $true )
             => ( $true
                = ( X1 @ X13 @ X14 @ X14 ) ) )
          & ! [X15: a > b,X17: a > b,X16: a > b] :
              ( ( ! [X19: a] :
                    ( ( $true
                      = ( X0 @ X19 ) )
                   => ( $true
                      = ( X1 @ X19 @ X15 @ X17 ) ) )
                & ! [X18: a] :
                    ( ( ( X0 @ X18 )
                      = $true )
                   => ( $true
                      = ( X1 @ X18 @ X17 @ X16 ) ) ) )
             => ! [X20: a] :
                  ( ( $true
                    = ( X0 @ X20 ) )
                 => ( ( X1 @ X20 @ X15 @ X16 )
                    = $true ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ! [X2: a] :
          ( ( X0 @ X2 )
         => ( ! [X3: a > b,X4: a > b] :
                ( ( X1 @ X2 @ X3 @ X4 )
               => ( X1 @ X2 @ X4 @ X3 ) )
            & ! [X3: a > b,X5: a > b,X4: a > b] :
                ( ( ( X1 @ X2 @ X3 @ X4 )
                  & ( X1 @ X2 @ X4 @ X5 ) )
               => ( X1 @ X2 @ X3 @ X5 ) )
            & ! [X3: a > b] : ( X1 @ X2 @ X3 @ X3 ) ) )
     => ( ! [X2: a > b,X4: a > b] :
            ( ! [X3: a] :
                ( ( X0 @ X3 )
               => ( X1 @ X3 @ X2 @ X4 ) )
           => ! [X3: a] :
                ( ( X0 @ X3 )
               => ( X1 @ X3 @ X4 @ X2 ) ) )
        & ! [X3: a,X2: a > b] :
            ( ( X0 @ X3 )
           => ( X1 @ X3 @ X2 @ X2 ) )
        & ! [X2: a > b,X5: a > b,X4: a > b] :
            ( ( ! [X3: a] :
                  ( ( X0 @ X3 )
                 => ( X1 @ X3 @ X4 @ X5 ) )
              & ! [X3: a] :
                  ( ( X0 @ X3 )
                 => ( X1 @ X3 @ X2 @ X4 ) ) )
           => ! [X3: a] :
                ( ( X0 @ X3 )
               => ( X1 @ X3 @ X2 @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM512_pme) ).

thf(f41,plain,
    ( ( $true
     != ( sK6 @ sK9 @ sK7 @ sK8 ) )
    | spl12_2 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f39,plain,
    ( spl12_2
  <=> ( $true
      = ( sK6 @ sK9 @ sK7 @ sK8 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

thf(f119,plain,
    ( spl12_1
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f118]) ).

thf(f118,plain,
    ( $false
    | spl12_1
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f114,f53]) ).

thf(f53,plain,
    ( ( $true
      = ( sK5 @ sK11 ) )
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f51,plain,
    ( spl12_5
  <=> ( $true
      = ( sK5 @ sK11 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

thf(f114,plain,
    ( ( $true
     != ( sK5 @ sK11 ) )
    | spl12_1 ),
    inference(trivial_inequality_removal,[],[f111]) ).

thf(f111,plain,
    ( ( $true
     != ( sK5 @ sK11 ) )
    | ( $true != $true )
    | spl12_1 ),
    inference(superposition,[],[f37,f25]) ).

thf(f25,plain,
    ! [X8: a,X14: a > b] :
      ( ( $true
        = ( sK6 @ X8 @ X14 @ X14 ) )
      | ( $true
       != ( sK5 @ X8 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f37,plain,
    ( ( ( sK6 @ sK11 @ sK10 @ sK10 )
     != $true )
    | spl12_1 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f35,plain,
    ( spl12_1
  <=> ( ( sK6 @ sK11 @ sK10 @ sK10 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

thf(f110,plain,
    ~ spl12_3,
    inference(avatar_split_clause,[],[f107,f43]) ).

thf(f43,plain,
    ( spl12_3
  <=> ( ( sP0 @ sK6 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

thf(f107,plain,
    ( ( sP0 @ sK6 @ sK5 )
   != $true ),
    inference(trivial_inequality_removal,[],[f106]) ).

thf(f106,plain,
    ( ( ( sP0 @ sK6 @ sK5 )
     != $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f105]) ).

thf(f105,plain,
    ( ( ( sP0 @ sK6 @ sK5 )
     != $true )
    | ( $true != $true )
    | ( ( sP0 @ sK6 @ sK5 )
     != $true ) ),
    inference(superposition,[],[f95,f24]) ).

thf(f24,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( $true
        = ( X0 @ ( sK4 @ X1 @ X0 ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( ( $true
          = ( X0 @ ( sK4 @ X1 @ X0 ) ) )
        & ( $true
         != ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
        & ! [X6: a] :
            ( ( $true
             != ( X0 @ X6 ) )
            | ( $true
              = ( X1 @ X6 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) )
        & ! [X7: a] :
            ( ( $true
              = ( X1 @ X7 @ ( sK1 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) )
            | ( ( X0 @ X7 )
             != $true ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f11,f13,f12]) ).

thf(f12,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ? [X2: a > b,X3: a > b,X4: a > b] :
          ( ? [X5: a] :
              ( ( ( X0 @ X5 )
                = $true )
              & ( $true
               != ( X1 @ X5 @ X2 @ X3 ) ) )
          & ! [X6: a] :
              ( ( $true
               != ( X0 @ X6 ) )
              | ( ( X1 @ X6 @ X4 @ X3 )
                = $true ) )
          & ! [X7: a] :
              ( ( $true
                = ( X1 @ X7 @ X2 @ X4 ) )
              | ( ( X0 @ X7 )
               != $true ) ) )
     => ( ? [X5: a] :
            ( ( ( X0 @ X5 )
              = $true )
            & ( $true
             != ( X1 @ X5 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) )
        & ! [X6: a] :
            ( ( $true
             != ( X0 @ X6 ) )
            | ( $true
              = ( X1 @ X6 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) )
        & ! [X7: a] :
            ( ( $true
              = ( X1 @ X7 @ ( sK1 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) )
            | ( ( X0 @ X7 )
             != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ? [X5: a] :
          ( ( ( X0 @ X5 )
            = $true )
          & ( $true
           != ( X1 @ X5 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) )
     => ( ( $true
          = ( X0 @ ( sK4 @ X1 @ X0 ) ) )
        & ( $true
         != ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ? [X2: a > b,X3: a > b,X4: a > b] :
          ( ? [X5: a] :
              ( ( ( X0 @ X5 )
                = $true )
              & ( $true
               != ( X1 @ X5 @ X2 @ X3 ) ) )
          & ! [X6: a] :
              ( ( $true
               != ( X0 @ X6 ) )
              | ( ( X1 @ X6 @ X4 @ X3 )
                = $true ) )
          & ! [X7: a] :
              ( ( $true
                = ( X1 @ X7 @ X2 @ X4 ) )
              | ( ( X0 @ X7 )
               != $true ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(rectify,[],[f10]) ).

thf(f10,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ? [X15: a > b,X16: a > b,X17: a > b] :
          ( ? [X20: a] :
              ( ( $true
                = ( X0 @ X20 ) )
              & ( ( X1 @ X20 @ X15 @ X16 )
               != $true ) )
          & ! [X18: a] :
              ( ( ( X0 @ X18 )
               != $true )
              | ( $true
                = ( X1 @ X18 @ X17 @ X16 ) ) )
          & ! [X19: a] :
              ( ( $true
                = ( X1 @ X19 @ X15 @ X17 ) )
              | ( $true
               != ( X0 @ X19 ) ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(nnf_transformation,[],[f8]) ).

thf(f95,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) ) ),
    inference(subsumption_resolution,[],[f94,f24]) ).

thf(f94,plain,
    ! [X0: a > $o] :
      ( ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f93]) ).

thf(f93,plain,
    ! [X0: a > $o] :
      ( ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f88]) ).

thf(f88,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) ) ),
    inference(superposition,[],[f85,f22]) ).

thf(f22,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o,X6: a] :
      ( ( $true
        = ( X1 @ X6 @ ( sK3 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true )
      | ( $true
       != ( X0 @ X6 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f85,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK3 @ sK6 @ X0 ) @ ( sK2 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) ) ),
    inference(subsumption_resolution,[],[f80,f24]) ).

thf(f80,plain,
    ! [X0: a > $o] :
      ( ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK3 @ sK6 @ X0 ) @ ( sK2 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f79]) ).

thf(f79,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK3 @ sK6 @ X0 ) @ ( sK2 @ sK6 @ X0 ) ) )
      | ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f76]) ).

thf(f76,plain,
    ! [X0: a > $o] :
      ( ( ( X0 @ ( sK4 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK3 @ sK6 @ X0 ) @ ( sK2 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true != $true ) ),
    inference(superposition,[],[f66,f21]) ).

thf(f21,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o,X7: a] :
      ( ( $true
        = ( X1 @ X7 @ ( sK1 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) )
      | ( ( X0 @ X7 )
       != $true )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f66,plain,
    ! [X0: a > $o,X1: a > b] :
      ( ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK1 @ sK6 @ X0 ) @ X1 ) )
      | ( ( sK6 @ ( sK4 @ sK6 @ X0 ) @ X1 @ ( sK2 @ sK6 @ X0 ) )
       != $true )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f65,plain,
    ! [X0: a > $o,X1: a > b] :
      ( ( $true != $true )
      | ( $true
       != ( sP0 @ sK6 @ X0 ) )
      | ( $true
       != ( sK6 @ ( sK4 @ sK6 @ X0 ) @ ( sK1 @ sK6 @ X0 ) @ X1 ) )
      | ( $true
       != ( sK5 @ ( sK4 @ sK6 @ X0 ) ) )
      | ( ( sK6 @ ( sK4 @ sK6 @ X0 ) @ X1 @ ( sK2 @ sK6 @ X0 ) )
       != $true ) ),
    inference(superposition,[],[f23,f27]) ).

thf(f27,plain,
    ! [X10: a > b,X11: a > b,X8: a,X9: a > b] :
      ( ( $true
        = ( sK6 @ X8 @ X9 @ X11 ) )
      | ( $true
       != ( sK6 @ X8 @ X10 @ X11 ) )
      | ( $true
       != ( sK5 @ X8 ) )
      | ( ( sK6 @ X8 @ X9 @ X10 )
       != $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f23,plain,
    ! [X0: a > $o,X1: a > ( a > b ) > ( a > b ) > $o] :
      ( ( $true
       != ( X1 @ ( sK4 @ X1 @ X0 ) @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f62,plain,
    ( spl12_3
    | spl12_5
    | spl12_6 ),
    inference(avatar_split_clause,[],[f31,f56,f51,f43]) ).

thf(f31,plain,
    ( ( $true
      = ( sK5 @ sK9 ) )
    | ( $true
      = ( sK5 @ sK11 ) )
    | ( ( sP0 @ sK6 @ sK5 )
      = $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f61,plain,
    ( spl12_5
    | spl12_3
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f33,f39,f43,f51]) ).

thf(f33,plain,
    ( ( ( sP0 @ sK6 @ sK5 )
      = $true )
    | ( $true
      = ( sK5 @ sK11 ) )
    | ( $true
     != ( sK6 @ sK9 @ sK7 @ sK8 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f60,plain,
    ( spl12_3
    | ~ spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f28,f48,f35,f43]) ).

thf(f28,plain,
    ! [X5: a] :
      ( ( ( sK6 @ sK11 @ sK10 @ sK10 )
       != $true )
      | ( $true
       != ( sK5 @ X5 ) )
      | ( ( sP0 @ sK6 @ sK5 )
        = $true )
      | ( $true
        = ( sK6 @ X5 @ sK8 @ sK7 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f59,plain,
    ( spl12_3
    | spl12_6
    | ~ spl12_1 ),
    inference(avatar_split_clause,[],[f30,f35,f56,f43]) ).

thf(f30,plain,
    ( ( $true
      = ( sK5 @ sK9 ) )
    | ( ( sK6 @ sK11 @ sK10 @ sK10 )
     != $true )
    | ( ( sP0 @ sK6 @ sK5 )
      = $true ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f54,plain,
    ( spl12_4
    | spl12_5
    | spl12_3 ),
    inference(avatar_split_clause,[],[f29,f43,f51,f48]) ).

thf(f29,plain,
    ! [X5: a] :
      ( ( $true
        = ( sK5 @ sK11 ) )
      | ( ( sP0 @ sK6 @ sK5 )
        = $true )
      | ( $true
        = ( sK6 @ X5 @ sK8 @ sK7 ) )
      | ( $true
       != ( sK5 @ X5 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f46,plain,
    ( ~ spl12_1
    | ~ spl12_2
    | spl12_3 ),
    inference(avatar_split_clause,[],[f32,f43,f39,f35]) ).

thf(f32,plain,
    ( ( ( sK6 @ sK11 @ sK10 @ sK10 )
     != $true )
    | ( ( sP0 @ sK6 @ sK5 )
      = $true )
    | ( $true
     != ( sK6 @ sK9 @ sK7 @ sK8 ) ) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEV031^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15  % 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
% 0.16/0.39  % Computer : n007.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39  % CPULimit   : 300
% 0.16/0.39  % WCLimit    : 300
% 0.16/0.39  % DateTime   : Sun May 19 19:06:38 EDT 2024
% 0.16/0.40  % CPUTime    : 
% 0.16/0.40  This is a TH0_THM_NEQ_NAR problem
% 0.25/0.40  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
% 0.25/0.42  % (9281)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)
% 0.25/0.42  % (9279)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)
% 0.25/0.42  % (9283)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.42  % (9280)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42  % (9278)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)
% 0.25/0.42  % (9284)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)
% 0.25/0.42  % (9282)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)
% 0.25/0.42  % (9277)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.42  % (9280)Instruction limit reached!
% 0.25/0.42  % (9280)------------------------------
% 0.25/0.42  % (9280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (9280)Termination reason: Unknown
% 0.25/0.42  % (9281)Instruction limit reached!
% 0.25/0.42  % (9281)------------------------------
% 0.25/0.42  % (9281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (9280)Termination phase: Preprocessing 3
% 0.25/0.42  
% 0.25/0.42  % (9280)Memory used [KB]: 1023
% 0.25/0.42  % (9280)Time elapsed: 0.003 s
% 0.25/0.42  % (9280)Instructions burned: 3 (million)
% 0.25/0.42  % (9280)------------------------------
% 0.25/0.42  % (9280)------------------------------
% 0.25/0.42  % (9281)Termination reason: Unknown
% 0.25/0.42  % (9281)Termination phase: Property scanning
% 0.25/0.42  
% 0.25/0.42  % (9281)Memory used [KB]: 1023
% 0.25/0.42  % (9281)Time elapsed: 0.004 s
% 0.25/0.42  % (9281)Instructions burned: 3 (million)
% 0.25/0.42  % (9281)------------------------------
% 0.25/0.42  % (9281)------------------------------
% 0.25/0.42  % (9284)Instruction limit reached!
% 0.25/0.42  % (9284)------------------------------
% 0.25/0.42  % (9284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (9284)Termination reason: Unknown
% 0.25/0.42  % (9284)Termination phase: Property scanning
% 0.25/0.42  
% 0.25/0.42  % (9284)Memory used [KB]: 1023
% 0.25/0.42  % (9284)Time elapsed: 0.004 s
% 0.25/0.42  % (9284)Instructions burned: 3 (million)
% 0.25/0.42  % (9284)------------------------------
% 0.25/0.42  % (9284)------------------------------
% 0.25/0.42  % (9278)Instruction limit reached!
% 0.25/0.42  % (9278)------------------------------
% 0.25/0.42  % (9278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (9278)Termination reason: Unknown
% 0.25/0.42  % (9278)Termination phase: Saturation
% 0.25/0.42  
% 0.25/0.42  % (9278)Memory used [KB]: 5500
% 0.25/0.42  % (9278)Time elapsed: 0.004 s
% 0.25/0.42  % (9278)Instructions burned: 4 (million)
% 0.25/0.42  % (9278)------------------------------
% 0.25/0.42  % (9278)------------------------------
% 0.25/0.43  % (9283)Instruction limit reached!
% 0.25/0.43  % (9283)------------------------------
% 0.25/0.43  % (9283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (9283)Termination reason: Unknown
% 0.25/0.43  % (9283)Termination phase: Saturation
% 0.25/0.43  
% 0.25/0.43  % (9283)Memory used [KB]: 5628
% 0.25/0.43  % (9283)Time elapsed: 0.014 s
% 0.25/0.43  % (9283)Instructions burned: 19 (million)
% 0.25/0.43  % (9283)------------------------------
% 0.25/0.43  % (9283)------------------------------
% 0.25/0.43  % (9282)First to succeed.
% 0.25/0.43  % (9285)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)
% 0.25/0.43  % (9287)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)
% 0.25/0.43  % (9286)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)
% 0.25/0.43  % (9288)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)
% 0.25/0.43  % (9279)Also succeeded, but the first one will report.
% 0.25/0.44  % (9282)Refutation found. Thanks to Tanya!
% 0.25/0.44  % SZS status Theorem for theBenchmark
% 0.25/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.44  % (9282)------------------------------
% 0.25/0.44  % (9282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (9282)Termination reason: Refutation
% 0.25/0.44  
% 0.25/0.44  % (9282)Memory used [KB]: 5628
% 0.25/0.44  % (9282)Time elapsed: 0.019 s
% 0.25/0.44  % (9282)Instructions burned: 21 (million)
% 0.25/0.44  % (9282)------------------------------
% 0.25/0.44  % (9282)------------------------------
% 0.25/0.44  % (9276)Success in time 0.021 s
% 0.25/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------