TSTP Solution File: SEV189^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV189^5 : 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 : n014.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 04:12:19 EDT 2024

% Result   : Theorem 0.16s 0.34s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :  435 ( 109 equ;   0 cnn)
%            Maximal formula atoms :   11 (  10 avg)
%            Number of connectives :  580 (  53   ~;  46   |;  41   &; 320   @)
%                                         (   2 <=>;  84  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  182 ( 182   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   8 usr;   5 con; 0-2 aty)
%                                         (  34  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  151 (  80   ^  61   !;   9   ?; 151   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    cQ: ( b > $o ) > $o ).

thf(func_def_2,type,
    cP: ( b > $o ) > $o ).

thf(func_def_11,type,
    sK0: ( ( b > $o ) > $o ) > b > $o ).

thf(func_def_12,type,
    sK1: ( ( b > $o ) > $o ) > b > $o ).

thf(func_def_13,type,
    sK2: ( b > $o ) > $o ).

thf(func_def_16,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(f49,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f38,f48]) ).

thf(f48,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f47]) ).

thf(f47,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f46,f42]) ).

thf(f42,plain,
    ( ( $true
      = ( sK2 @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(trivial_inequality_removal,[],[f41]) ).

thf(f41,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK2 @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(superposition,[],[f27,f16]) ).

thf(f16,plain,
    ! [X2: ( b > $o ) > $o] :
      ( ( $true
        = ( cQ
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( X2 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ( $true
        = ( X2 @ ( sK1 @ X2 ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ! [X0: ( b > $o ) > $o] :
        ( ( $true
          = ( cP
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X0 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ( ( $true
            = ( X0 @ ( sK0 @ X0 ) ) )
          & ( ( cP @ ( sK0 @ X0 ) )
           != $true ) ) )
    & ! [X2: ( b > $o ) > $o] :
        ( ( $true
          = ( cQ
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X2 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ( ( ( cQ @ ( sK1 @ X2 ) )
           != $true )
          & ( $true
            = ( X2 @ ( sK1 @ X2 ) ) ) ) )
    & ( ( $true
       != ( cQ
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( sK2 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ( $true
       != ( cP
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( sK2 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ) )
    & ! [X5: b > $o] :
        ( ( $true
         != ( sK2 @ X5 ) )
        | ( ( ( cP @ X5 )
            = $true )
          & ( ( cQ @ X5 )
            = $true ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9]) ).

thf(f9,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ? [X1: b > $o] :
          ( ( ( X0 @ X1 )
            = $true )
          & ( ( cP @ X1 )
           != $true ) )
     => ( ( $true
          = ( X0 @ ( sK0 @ X0 ) ) )
        & ( ( cP @ ( sK0 @ X0 ) )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ! [X2: ( b > $o ) > $o] :
      ( ? [X3: b > $o] :
          ( ( $true
           != ( cQ @ X3 ) )
          & ( $true
            = ( X2 @ X3 ) ) )
     => ( ( ( cQ @ ( sK1 @ X2 ) )
         != $true )
        & ( $true
          = ( X2 @ ( sK1 @ X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X4: ( b > $o ) > $o] :
        ( ( ( $true
           != ( cQ
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) )
          | ( $true
           != ( cP
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) ) )
        & ! [X5: b > $o] :
            ( ( $true
             != ( X4 @ X5 ) )
            | ( ( ( cP @ X5 )
                = $true )
              & ( ( cQ @ X5 )
                = $true ) ) ) )
   => ( ( ( $true
         != ( cQ
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( sK2 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ( $true
         != ( cP
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( sK2 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) ) )
      & ! [X5: b > $o] :
          ( ( $true
           != ( sK2 @ X5 ) )
          | ( ( ( cP @ X5 )
              = $true )
            & ( ( cQ @ X5 )
              = $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ( ! [X0: ( b > $o ) > $o] :
        ( ( $true
          = ( cP
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X0 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ? [X1: b > $o] :
            ( ( ( X0 @ X1 )
              = $true )
            & ( ( cP @ X1 )
             != $true ) ) )
    & ! [X2: ( b > $o ) > $o] :
        ( ( $true
          = ( cQ
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X2 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ? [X3: b > $o] :
            ( ( $true
             != ( cQ @ X3 ) )
            & ( $true
              = ( X2 @ X3 ) ) ) )
    & ? [X4: ( b > $o ) > $o] :
        ( ( ( $true
           != ( cQ
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) )
          | ( $true
           != ( cP
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) ) )
        & ! [X5: b > $o] :
            ( ( $true
             != ( X4 @ X5 ) )
            | ( ( ( cP @ X5 )
                = $true )
              & ( ( cQ @ X5 )
                = $true ) ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ? [X4: ( b > $o ) > $o] :
        ( ( ( $true
           != ( cQ
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) )
          | ( $true
           != ( cP
              @ ^ [Y0: b] :
                  ( !! @ ( b > $o )
                  @ ^ [Y1: b > $o] :
                      ( ( X4 @ Y1 )
                     => ( Y1 @ Y0 ) ) ) ) ) )
        & ! [X5: b > $o] :
            ( ( $true
             != ( X4 @ X5 ) )
            | ( ( ( cP @ X5 )
                = $true )
              & ( ( cQ @ X5 )
                = $true ) ) ) )
    & ! [X2: ( b > $o ) > $o] :
        ( ( $true
          = ( cQ
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X2 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ? [X3: b > $o] :
            ( ( $true
             != ( cQ @ X3 ) )
            & ( $true
              = ( X2 @ X3 ) ) ) )
    & ! [X0: ( b > $o ) > $o] :
        ( ( $true
          = ( cP
            @ ^ [Y0: b] :
                ( !! @ ( b > $o )
                @ ^ [Y1: b > $o] :
                    ( ( X0 @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) )
        | ? [X1: b > $o] :
            ( ( ( X0 @ X1 )
              = $true )
            & ( ( cP @ X1 )
             != $true ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ( ! [X2: ( b > $o ) > $o] :
            ( ! [X3: b > $o] :
                ( ( $true
                  = ( X2 @ X3 ) )
               => ( $true
                  = ( cQ @ X3 ) ) )
           => ( $true
              = ( cQ
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X2 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) )
        & ! [X0: ( b > $o ) > $o] :
            ( ! [X1: b > $o] :
                ( ( ( X0 @ X1 )
                  = $true )
               => ( ( cP @ X1 )
                  = $true ) )
           => ( $true
              = ( cP
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X0 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) ) )
     => ! [X4: ( b > $o ) > $o] :
          ( ! [X5: b > $o] :
              ( ( $true
                = ( X4 @ X5 ) )
             => ( ( ( cP @ X5 )
                  = $true )
                & ( ( cQ @ X5 )
                  = $true ) ) )
         => ( ( $true
              = ( cQ
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X4 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) )
            & ( $true
              = ( cP
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X4 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X0: ( b > $o ) > $o] :
            ( ! [X1: b > $o] :
                ( ( ( X0 @ X1 )
                  = $true )
               => ( ( cP @ X1 )
                  = $true ) )
           => ( $true
              = ( cP
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X0 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) )
        & ! [X4: ( b > $o ) > $o] :
            ( ! [X5: b > $o] :
                ( ( $true
                  = ( X4 @ X5 ) )
               => ( ( cQ @ X5 )
                  = $true ) )
           => ( $true
              = ( cQ
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X4 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) ) )
     => ! [X8: ( b > $o ) > $o] :
          ( ! [X9: b > $o] :
              ( ( $true
                = ( X8 @ X9 ) )
             => ( ( ( cQ @ X9 )
                  = $true )
                & ( $true
                  = ( cP @ X9 ) ) ) )
         => ( ( ( cQ
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X8 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) )
              = $true )
            & ( $true
              = ( cP
                @ ^ [Y0: b] :
                    ( !! @ ( b > $o )
                    @ ^ [Y1: b > $o] :
                        ( ( X8 @ Y1 )
                       => ( Y1 @ Y0 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: ( b > $o ) > $o] :
            ( ! [X1: b > $o] :
                ( ( X0 @ X1 )
               => ( cP @ X1 ) )
           => ( cP
              @ ^ [X2: b] :
                ! [X3: b > $o] :
                  ( ( X0 @ X3 )
                 => ( X3 @ X2 ) ) ) )
        & ! [X4: ( b > $o ) > $o] :
            ( ! [X5: b > $o] :
                ( ( X4 @ X5 )
               => ( cQ @ X5 ) )
           => ( cQ
              @ ^ [X6: b] :
                ! [X7: b > $o] :
                  ( ( X4 @ X7 )
                 => ( X7 @ X6 ) ) ) ) )
     => ! [X8: ( b > $o ) > $o] :
          ( ! [X9: b > $o] :
              ( ( X8 @ X9 )
             => ( ( cQ @ X9 )
                & ( cP @ X9 ) ) )
         => ( ( cQ
              @ ^ [X10: b] :
                ! [X11: b > $o] :
                  ( ( X8 @ X11 )
                 => ( X11 @ X10 ) ) )
            & ( cP
              @ ^ [X12: b] :
                ! [X13: b > $o] :
                  ( ( X8 @ X13 )
                 => ( X13 @ X12 ) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X0: ( b > $o ) > $o] :
            ( ! [X1: b > $o] :
                ( ( X0 @ X1 )
               => ( cP @ X1 ) )
           => ( cP
              @ ^ [X1: b] :
                ! [X2: b > $o] :
                  ( ( X0 @ X2 )
                 => ( X2 @ X1 ) ) ) )
        & ! [X0: ( b > $o ) > $o] :
            ( ! [X1: b > $o] :
                ( ( X0 @ X1 )
               => ( cQ @ X1 ) )
           => ( cQ
              @ ^ [X1: b] :
                ! [X2: b > $o] :
                  ( ( X0 @ X2 )
                 => ( X2 @ X1 ) ) ) ) )
     => ! [X0: ( b > $o ) > $o] :
          ( ! [X1: b > $o] :
              ( ( X0 @ X1 )
             => ( ( cQ @ X1 )
                & ( cP @ X1 ) ) )
         => ( ( cQ
              @ ^ [X1: b] :
                ! [X2: b > $o] :
                  ( ( X0 @ X2 )
                 => ( X2 @ X1 ) ) )
            & ( cP
              @ ^ [X1: b] :
                ! [X2: b > $o] :
                  ( ( X0 @ X2 )
                 => ( X2 @ X1 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X0: ( b > $o ) > $o] :
          ( ! [X1: b > $o] :
              ( ( X0 @ X1 )
             => ( cP @ X1 ) )
         => ( cP
            @ ^ [X1: b] :
              ! [X2: b > $o] :
                ( ( X0 @ X2 )
               => ( X2 @ X1 ) ) ) )
      & ! [X0: ( b > $o ) > $o] :
          ( ! [X1: b > $o] :
              ( ( X0 @ X1 )
             => ( cQ @ X1 ) )
         => ( cQ
            @ ^ [X1: b] :
              ! [X2: b > $o] :
                ( ( X0 @ X2 )
               => ( X2 @ X1 ) ) ) ) )
   => ! [X0: ( b > $o ) > $o] :
        ( ! [X1: b > $o] :
            ( ( X0 @ X1 )
           => ( ( cQ @ X1 )
              & ( cP @ X1 ) ) )
       => ( ( cQ
            @ ^ [X1: b] :
              ! [X2: b > $o] :
                ( ( X0 @ X2 )
               => ( X2 @ X1 ) ) )
          & ( cP
            @ ^ [X1: b] :
              ! [X2: b > $o] :
                ( ( X0 @ X2 )
               => ( X2 @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM567_pme) ).

thf(f27,plain,
    ( ( $true
     != ( cQ
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) )
    | spl3_2 ),
    inference(avatar_component_clause,[],[f25]) ).

thf(f25,plain,
    ( spl3_2
  <=> ( $true
      = ( cQ
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f46,plain,
    ( ( $true
     != ( sK2 @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(trivial_inequality_removal,[],[f45]) ).

thf(f45,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK2 @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(superposition,[],[f44,f13]) ).

thf(f13,plain,
    ! [X5: b > $o] :
      ( ( ( cQ @ X5 )
        = $true )
      | ( $true
       != ( sK2 @ X5 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f44,plain,
    ( ( $true
     != ( cQ @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(trivial_inequality_removal,[],[f40]) ).

thf(f40,plain,
    ( ( $true != $true )
    | ( $true
     != ( cQ @ ( sK1 @ sK2 ) ) )
    | spl3_2 ),
    inference(superposition,[],[f27,f17]) ).

thf(f17,plain,
    ! [X2: ( b > $o ) > $o] :
      ( ( $true
        = ( cQ
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( X2 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ( ( cQ @ ( sK1 @ X2 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f38,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f37]) ).

thf(f37,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f36,f34]) ).

thf(f34,plain,
    ( ( $true
      = ( sK2 @ ( sK0 @ sK2 ) ) )
    | spl3_1 ),
    inference(trivial_inequality_removal,[],[f33]) ).

thf(f33,plain,
    ( ( $true
      = ( sK2 @ ( sK0 @ sK2 ) ) )
    | ( $true != $true )
    | spl3_1 ),
    inference(superposition,[],[f23,f19]) ).

thf(f19,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( $true
        = ( cP
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( X0 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ( $true
        = ( X0 @ ( sK0 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f23,plain,
    ( ( $true
     != ( cP
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) )
    | spl3_1 ),
    inference(avatar_component_clause,[],[f21]) ).

thf(f21,plain,
    ( spl3_1
  <=> ( $true
      = ( cP
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f36,plain,
    ( ( $true
     != ( sK2 @ ( sK0 @ sK2 ) ) )
    | spl3_1 ),
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f35,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK2 @ ( sK0 @ sK2 ) ) )
    | spl3_1 ),
    inference(superposition,[],[f32,f14]) ).

thf(f14,plain,
    ! [X5: b > $o] :
      ( ( ( cP @ X5 )
        = $true )
      | ( $true
       != ( sK2 @ X5 ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f32,plain,
    ( ( $true
     != ( cP @ ( sK0 @ sK2 ) ) )
    | spl3_1 ),
    inference(trivial_inequality_removal,[],[f31]) ).

thf(f31,plain,
    ( ( $true != $true )
    | ( $true
     != ( cP @ ( sK0 @ sK2 ) ) )
    | spl3_1 ),
    inference(superposition,[],[f23,f18]) ).

thf(f18,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( $true
        = ( cP
          @ ^ [Y0: b] :
              ( !! @ ( b > $o )
              @ ^ [Y1: b > $o] :
                  ( ( X0 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ( ( cP @ ( sK0 @ X0 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f28,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f15,f25,f21]) ).

thf(f15,plain,
    ( ( $true
     != ( cP
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) )
    | ( $true
     != ( cQ
        @ ^ [Y0: b] :
            ( !! @ ( b > $o )
            @ ^ [Y1: b > $o] :
                ( ( sK2 @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEV189^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.11  % 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
% 0.12/0.31  % Computer : n014.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Sun May 19 19:10:38 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.12/0.31  This is a TH0_THM_NEQ_NAR problem
% 0.16/0.31  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
% 0.16/0.33  % (30773)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)
% 0.16/0.33  % (30770)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)
% 0.16/0.33  % (30774)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)
% 0.16/0.33  % (30773)Instruction limit reached!
% 0.16/0.33  % (30773)------------------------------
% 0.16/0.33  % (30773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (30773)Termination reason: Unknown
% 0.16/0.33  % (30773)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (30773)Memory used [KB]: 895
% 0.16/0.33  % (30773)Time elapsed: 0.003 s
% 0.16/0.33  % (30773)Instructions burned: 2 (million)
% 0.16/0.33  % (30773)------------------------------
% 0.16/0.33  % (30773)------------------------------
% 0.16/0.33  % (30770)Instruction limit reached!
% 0.16/0.33  % (30770)------------------------------
% 0.16/0.33  % (30770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (30770)Termination reason: Unknown
% 0.16/0.33  % (30770)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (30770)Memory used [KB]: 5500
% 0.16/0.33  % (30770)Time elapsed: 0.004 s
% 0.16/0.33  % (30770)Instructions burned: 4 (million)
% 0.16/0.33  % (30770)------------------------------
% 0.16/0.33  % (30770)------------------------------
% 0.16/0.34  % (30774)First to succeed.
% 0.16/0.34  % (30774)Refutation found. Thanks to Tanya!
% 0.16/0.34  % SZS status Theorem for theBenchmark
% 0.16/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34  % (30774)------------------------------
% 0.16/0.34  % (30774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34  % (30774)Termination reason: Refutation
% 0.16/0.34  
% 0.16/0.34  % (30774)Memory used [KB]: 5500
% 0.16/0.34  % (30774)Time elapsed: 0.008 s
% 0.16/0.34  % (30774)Instructions burned: 6 (million)
% 0.16/0.34  % (30774)------------------------------
% 0.16/0.34  % (30774)------------------------------
% 0.16/0.34  % (30764)Success in time 0.01 s
% 0.16/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------