TSTP Solution File: SYO900^11 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO900^11 : TPTP v8.2.0. Released v8.1.0.
% 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 : n032.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 09:09:37 EDT 2024

% Result   : Theorem 0.13s 0.29s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   78 (  41 unt;  18 typ;   0 def)
%            Number of atoms       :  417 (  84 equ;   0 cnn)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives :  568 (  33   ~;  34   |;   3   &; 401   @)
%                                         (   0 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   71 (  71   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  16 usr;   8 con; 0-3 aty)
%                                         (  34  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  134 (  95   ^  39   !;   0   ?; 134   :)

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

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

thf(func_def_1,type,
    mrel: mworld > mworld > $o ).

thf(func_def_2,type,
    mactual: mworld ).

thf(func_def_3,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_5,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(func_def_12,type,
    p: mworld > $o ).

thf(func_def_13,type,
    q: mworld > $o ).

thf(func_def_28,type,
    sK1: mworld ).

thf(func_def_29,type,
    sK2: mworld ).

thf(func_def_30,type,
    sK3: mworld ).

thf(func_def_31,type,
    sK4: mworld ).

thf(f196,plain,
    $false,
    inference(trivial_inequality_removal,[],[f194]) ).

thf(f194,plain,
    $true = $false,
    inference(superposition,[],[f192,f77]) ).

thf(f77,plain,
    ( ( q @ sK4 )
    = $false ),
    inference(binary_proxy_clausification,[],[f76]) ).

thf(f76,plain,
    ( ( ( mrel @ sK3 @ sK4 )
     => ( q @ sK4 ) )
    = $false ),
    inference(beta_eta_normalization,[],[f75]) ).

thf(f75,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ sK3 @ Y0 )
         => ( q @ Y0 ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f70]) ).

thf(f70,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ sK3 @ Y0 )
         => ( q @ Y0 ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f68]) ).

thf(f68,plain,
    ( $false
    = ( ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ sK3 @ Y0 )
           => ( p @ Y0 ) ) )
     => ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ sK3 @ Y0 )
           => ( q @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f67]) ).

thf(f67,plain,
    ( ( ( mrel @ mactual @ sK3 )
     => ( ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ sK3 @ Y0 )
             => ( p @ Y0 ) ) )
       => ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ sK3 @ Y0 )
             => ( q @ Y0 ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f66]) ).

thf(f66,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) )
           => ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( q @ Y1 ) ) ) ) )
      @ sK3 )
    = $false ),
    inference(sigma_clausification,[],[f51]) ).

thf(f51,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) )
           => ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( q @ Y1 ) ) ) ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f50]) ).

thf(f50,plain,
    ( ( ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( !! @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( q @ Y1 ) ) )
             => ( !! @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( p @ Y1 ) ) ) ) ) )
      | ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( !! @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( p @ Y1 ) ) )
             => ( !! @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( q @ Y1 ) ) ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f49]) ).

thf(f49,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld] :
              ( !! @ mworld
              @ ^ [Y2: mworld] :
                  ( ( mrel @ Y1 @ Y2 )
                 => ( Y0 @ Y2 ) ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
               => ( Y1 @ Y2 ) )
            @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                  ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ Y1 @ Y2 )
                     => ( Y0 @ Y2 ) ) )
              @ p )
            @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                  ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ Y1 @ Y2 )
                     => ( Y0 @ Y2 ) ) )
              @ q ) ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld] :
              ( !! @ mworld
              @ ^ [Y2: mworld] :
                  ( ( mrel @ Y1 @ Y2 )
                 => ( Y0 @ Y2 ) ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
               => ( Y1 @ Y2 ) )
            @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                  ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ Y1 @ Y2 )
                     => ( Y0 @ Y2 ) ) )
              @ q )
            @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                  ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ Y1 @ Y2 )
                     => ( Y0 @ Y2 ) ) )
              @ p ) ) ) ) ) ),
    inference(definition_unfolding,[],[f39,f38,f40,f46,f47,f46,f46,f46,f47,f46,f46]) ).

thf(f47,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f18]) ).

thf(f18,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).

thf(f46,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f28]) ).

thf(f28,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f27]) ).

thf(f27,plain,
    ( mbox
    = ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ( mbox
    = ( ^ [X0: mworld > $o,X2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ X2 @ X4 )
         => ( X0 @ X4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).

thf(f40,plain,
    ( mor
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ( mor
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,plain,
    ( mor
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ( mor
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          | ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def) ).

thf(f38,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f24,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( mlocal
    = ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).

thf(f39,plain,
    ( ( mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f35]) ).

thf(f35,plain,
    ( ( mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) )
   != $true ),
    inference(flattening,[],[f26]) ).

thf(f26,plain,
    ( ( mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f25]) ).

thf(f25,plain,
    ~ ( mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) ),
    inference(rectify,[],[f12]) ).

thf(f12,negated_conjecture,
    ~ ( mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) ),
    inference(negated_conjecture,[],[f11]) ).

thf(f11,conjecture,
    mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f192,plain,
    ( ( q @ sK4 )
    = $true ),
    inference(trivial_inequality_removal,[],[f190]) ).

thf(f190,plain,
    ( ( $true != $true )
    | ( ( q @ sK4 )
      = $true ) ),
    inference(superposition,[],[f184,f78]) ).

thf(f78,plain,
    ( ( mrel @ sK3 @ sK4 )
    = $true ),
    inference(binary_proxy_clausification,[],[f76]) ).

thf(f184,plain,
    ! [X0: mworld] :
      ( ( ( mrel @ sK3 @ X0 )
       != $true )
      | ( $true
        = ( q @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f182]) ).

thf(f182,plain,
    ! [X0: mworld] :
      ( ( $true != $true )
      | ( ( mrel @ sK3 @ X0 )
       != $true )
      | ( $true
        = ( q @ X0 ) ) ),
    inference(superposition,[],[f168,f69]) ).

thf(f69,plain,
    ( ( mrel @ mactual @ sK3 )
    = $true ),
    inference(binary_proxy_clausification,[],[f67]) ).

thf(f168,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( ( mrel @ mactual @ X0 )
       != $true )
      | ( ( q @ X1 )
        = $true )
      | ( ( mrel @ X0 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f163]) ).

thf(f163,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( ( mrel @ mactual @ X0 )
       != $true )
      | ( ( mrel @ X0 @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( q @ X1 )
        = $true ) ),
    inference(superposition,[],[f110,f56]) ).

thf(f56,plain,
    ( ( mrel @ mactual @ sK1 )
    = $true ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f54,plain,
    ( $false
    = ( ( mrel @ mactual @ sK1 )
     => ( ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ sK1 @ Y0 )
             => ( q @ Y0 ) ) )
       => ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ sK1 @ Y0 )
             => ( p @ Y0 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f53]) ).

thf(f53,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( q @ Y1 ) ) )
           => ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f52]) ).

thf(f52,plain,
    ( $false
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( q @ Y1 ) ) )
           => ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f50]) ).

thf(f110,plain,
    ! [X2: mworld,X0: mworld,X1: mworld] :
      ( ( ( mrel @ X2 @ sK1 )
       != $true )
      | ( ( mrel @ X2 @ X0 )
       != $true )
      | ( ( mrel @ X0 @ X1 )
       != $true )
      | ( ( q @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f107]) ).

thf(f107,plain,
    ! [X2: mworld,X0: mworld,X1: mworld] :
      ( ( $true != $true )
      | ( ( mrel @ X2 @ sK1 )
       != $true )
      | ( ( mrel @ X0 @ X1 )
       != $true )
      | ( ( q @ X1 )
        = $true )
      | ( ( mrel @ X2 @ X0 )
       != $true ) ),
    inference(superposition,[],[f90,f41]) ).

thf(f41,plain,
    ! [X2: mworld,X0: mworld,X1: mworld] :
      ( ( ( mrel @ X0 @ X2 )
        = $true )
      | ( ( mrel @ X1 @ X0 )
       != $true )
      | ( ( mrel @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f37,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ( ( mrel @ X1 @ X0 )
       != $true )
      | ( ( mrel @ X1 @ X2 )
       != $true )
      | ( ( mrel @ X0 @ X2 )
        = $true ) ),
    inference(flattening,[],[f36]) ).

thf(f36,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ( ( mrel @ X0 @ X2 )
        = $true )
      | ( ( mrel @ X1 @ X0 )
       != $true )
      | ( ( mrel @ X1 @ X2 )
       != $true ) ),
    inference(ennf_transformation,[],[f30]) ).

thf(f30,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ( ( ( mrel @ X1 @ X0 )
          = $true )
        & ( ( mrel @ X1 @ X2 )
          = $true ) )
     => ( ( mrel @ X0 @ X2 )
        = $true ) ),
    inference(fool_elimination,[],[f29]) ).

thf(f29,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ( ( mrel @ X1 @ X0 )
        & ( mrel @ X1 @ X2 ) )
     => ( mrel @ X0 @ X2 ) ),
    inference(rectify,[],[f10]) ).

thf(f10,axiom,
    ! [X5: mworld,X2: mworld,X4: mworld] :
      ( ( ( mrel @ X2 @ X5 )
        & ( mrel @ X2 @ X4 ) )
     => ( mrel @ X5 @ X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).

thf(f90,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( ( mrel @ X1 @ sK1 )
       != $true )
      | ( ( mrel @ X1 @ X0 )
       != $true )
      | ( $true
        = ( q @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f87]) ).

thf(f87,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( ( mrel @ X1 @ X0 )
       != $true )
      | ( ( mrel @ X1 @ sK1 )
       != $true )
      | ( $true
        = ( q @ X0 ) )
      | ( $true = $false ) ),
    inference(superposition,[],[f41,f61]) ).

thf(f61,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ sK1 @ X1 )
        = $false )
      | ( ( q @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f60]) ).

thf(f60,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ sK1 @ X1 )
       => ( q @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f59]) ).

thf(f59,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ sK1 @ Y0 )
           => ( q @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f58]) ).

thf(f58,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ sK1 @ Y0 )
         => ( q @ Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f55]) ).

thf(f55,plain,
    ( ( ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ sK1 @ Y0 )
           => ( q @ Y0 ) ) )
     => ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ sK1 @ Y0 )
           => ( p @ Y0 ) ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SYO900^11 : TPTP v8.2.0. Released v8.1.0.
% 0.00/0.08  % 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
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit   : 300
% 0.09/0.27  % WCLimit    : 300
% 0.09/0.27  % DateTime   : Mon May 20 10:12:07 EDT 2024
% 0.09/0.27  % CPUTime    : 
% 0.09/0.27  This is a TH0_THM_EQU_NAR problem
% 0.09/0.27  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.28  % (4731)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.29  % (4734)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.29  % (4735)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 (3000ds/2Mi)
% 0.13/0.29  % (4738)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.29  % (4736)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 (3000ds/275Mi)
% 0.13/0.29  % (4734)Instruction limit reached!
% 0.13/0.29  % (4734)------------------------------
% 0.13/0.29  % (4734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4734)Termination reason: Unknown
% 0.13/0.29  % (4737)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.29  % (4734)Termination phase: shuffling
% 0.13/0.29  % (4735)Instruction limit reached!
% 0.13/0.29  % (4735)------------------------------
% 0.13/0.29  % (4735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4735)Termination reason: Unknown
% 0.13/0.29  % (4735)Termination phase: Property scanning
% 0.13/0.29  
% 0.13/0.29  % (4735)Memory used [KB]: 895
% 0.13/0.29  % (4735)Time elapsed: 0.002 s
% 0.13/0.29  % (4735)Instructions burned: 2 (million)
% 0.13/0.29  % (4735)------------------------------
% 0.13/0.29  % (4735)------------------------------
% 0.13/0.29  
% 0.13/0.29  % (4734)Memory used [KB]: 895
% 0.13/0.29  % (4734)Time elapsed: 0.002 s
% 0.13/0.29  % (4734)Instructions burned: 2 (million)
% 0.13/0.29  % (4734)------------------------------
% 0.13/0.29  % (4734)------------------------------
% 0.13/0.29  % (4733)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 (3000ds/27Mi)
% 0.13/0.29  % (4732)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 (3000ds/4Mi)
% 0.13/0.29  % (4738)Instruction limit reached!
% 0.13/0.29  % (4738)------------------------------
% 0.13/0.29  % (4738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4738)Termination reason: Unknown
% 0.13/0.29  % (4738)Termination phase: Saturation
% 0.13/0.29  
% 0.13/0.29  % (4738)Memory used [KB]: 1023
% 0.13/0.29  % (4738)Time elapsed: 0.003 s
% 0.13/0.29  % (4738)Instructions burned: 3 (million)
% 0.13/0.29  % (4738)------------------------------
% 0.13/0.29  % (4738)------------------------------
% 0.13/0.29  % (4731)First to succeed.
% 0.13/0.29  % (4736)Refutation not found, incomplete strategy
% 0.13/0.29  % (4736)------------------------------
% 0.13/0.29  % (4736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4736)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.29  
% 0.13/0.29  
% 0.13/0.29  % (4736)Memory used [KB]: 5500
% 0.13/0.29  % (4736)Time elapsed: 0.003 s
% 0.13/0.29  % (4736)Instructions burned: 3 (million)
% 0.13/0.29  % (4736)------------------------------
% 0.13/0.29  % (4736)------------------------------
% 0.13/0.29  % (4732)Instruction limit reached!
% 0.13/0.29  % (4732)------------------------------
% 0.13/0.29  % (4732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4732)Termination reason: Unknown
% 0.13/0.29  % (4732)Termination phase: Saturation
% 0.13/0.29  
% 0.13/0.29  % (4732)Memory used [KB]: 5500
% 0.13/0.29  % (4732)Time elapsed: 0.004 s
% 0.13/0.29  % (4732)Instructions burned: 4 (million)
% 0.13/0.29  % (4732)------------------------------
% 0.13/0.29  % (4732)------------------------------
% 0.13/0.29  % (4731)Refutation found. Thanks to Tanya!
% 0.13/0.29  % SZS status Theorem for theBenchmark
% 0.13/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.29  % (4731)------------------------------
% 0.13/0.29  % (4731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.29  % (4731)Termination reason: Refutation
% 0.13/0.29  
% 0.13/0.29  % (4731)Memory used [KB]: 5628
% 0.13/0.29  % (4731)Time elapsed: 0.010 s
% 0.13/0.29  % (4731)Instructions burned: 18 (million)
% 0.13/0.29  % (4731)------------------------------
% 0.13/0.29  % (4731)------------------------------
% 0.13/0.29  % (4730)Success in time 0.016 s
% 0.13/0.29  % Vampire---4.8 exiting
%------------------------------------------------------------------------------