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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO243^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n021.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 : Wed Feb 25 09:53:45 AM UTC 2026

% Result   : Theorem 13.70s 3.31s
% Output   : Refutation 13.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   36 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :  230 ( 101 equ;   0 cnn)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives :  516 (   9   ~;   0   |;   0   &; 364   @)
%                                         (   0 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   64 (  64   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   7 usr;   5 con; 0-2 aty)
%                                         (  57  !!;  26  ??;   0 @@+;   0 @@-)
%            Number of variables   :  159 ( 111   ^;  39   !;   9   ?; 159   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    f: $i > $i ).

thf(func_def_1,type,
    g: $i > $i ).

thf(func_def_14,type,
    ph0: 
      !>[X0: $tType] : X0 ).

thf(func_def_17,type,
    sK1: ( $i > $i ) > $i ).

thf(func_def_18,type,
    sK2: ( $i > $i ) > $i ).

thf(func_def_24,type,
    sK4: $i > $i ).

thf(f171,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f170]) ).

thf(f170,plain,
    $true = $false,
    inference(boolean_simplification,[status(thm)],[f169]) ).

thf(f169,plain,
    ( $true = ( ~ $true ) ),
    inference(forward_demodulation,[status(thm)],[f166,f134]) ).

thf(f134,plain,
    ! [X1: $i] :
      ( $true
      = ( ( g @ ( sK4 @ X1 ) )
        = sK3 ) ),
    inference(binary_proxy_clausification,[status(thm)],[f132]) ).

thf(f132,plain,
    ! [X1: $i] :
      ( $false
      = ( ( ( g @ ( sK4 @ X1 ) )
          = sK3 )
       => ( X1
          = ( f @ ( sK4 @ X1 ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f131]) ).

thf(f131,plain,
    ! [X1: $i] :
      ( $false
      = ( ^ [Y0: $i] :
            ( ( ( g @ Y0 )
              = sK3 )
           => ( X1
              = ( f @ Y0 ) ) )
        @ ( sK4 @ X1 ) ) ),
    inference(sigma_clausification,[status(thm)],[f130]) ).

thf(f130,plain,
    ! [X1: $i] :
      ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( ( g @ Y0 )
              = sK3 )
           => ( X1
              = ( f @ Y0 ) ) ) )
      = $false ),
    inference(beta_eta_normalization,[status(thm)],[f129]) ).

thf(f129,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( g @ Y1 )
                  = sK3 )
               => ( Y0
                  = ( f @ Y1 ) ) ) )
        @ X1 )
      = $false ),
    inference(pi_clausification,[status(thm)],[f110]) ).

thf(f110,plain,
    ( $false
    = ( ?? @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( g @ Y1 )
                = sK3 )
             => ( Y0
                = ( f @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f107]) ).

thf(f107,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( g @ Y2 )
                    = Y0 )
                 => ( Y1
                    = ( f @ Y2 ) ) ) ) )
      @ sK3 ) ),
    inference(sigma_clausification,[status(thm)],[f102]) ).

thf(f102,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( g @ Y2 )
                    = Y0 )
                 => ( Y1
                    = ( f @ Y2 ) ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[status(thm)],[f57]) ).

thf(f57,plain,
    ( ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( ( g @ Y2 )
                        = Y0 )
                     => ( Y1
                        = ( f @ Y2 ) ) ) ) ) ) )
    = $true ),
    inference(boolean_simplification,[status(thm)],[f56]) ).

thf(f56,plain,
    ( $true
    = ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( ( g @ Y2 )
                      = Y0 )
                   => ( Y1
                      = ( f @ Y2 ) ) ) ) ) )
     => $false ) ),
    inference(beta_eta_normalization,[status(thm)],[f50]) ).

thf(f50,plain,
    ( $true
    = ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ( ^ [Y1: $i,Y2: $i] :
                  ( !! @ $i
                  @ ( ^ [Y3: $i,Y4: $i,Y5: $i] :
                        ( ( ^ [Y6: $i,Y7: $i,Y8: $i] :
                              ( ( ^ [Y9: $i,Y10: $i,Y11: $i] :
                                    ( g
                                    @ ( ^ [Y12: $i,Y13: $i,Y14: $i] : Y14
                                      @ Y9
                                      @ Y10
                                      @ Y11 ) )
                                @ Y6
                                @ Y7
                                @ Y8 )
                              = ( ^ [Y9: $i,Y10: $i,Y11: $i] : Y9
                                @ Y6
                                @ Y7
                                @ Y8 ) )
                          @ Y3
                          @ Y4
                          @ Y5 )
                       => ( ^ [Y6: $i,Y7: $i,Y8: $i] :
                              ( ( ^ [Y9: $i,Y10: $i,Y11: $i] : Y10
                                @ Y6
                                @ Y7
                                @ Y8 )
                              = ( ^ [Y9: $i,Y10: $i,Y11: $i] :
                                    ( f
                                    @ ( ^ [Y12: $i,Y13: $i,Y14: $i] : Y14
                                      @ Y9
                                      @ Y10
                                      @ Y11 ) )
                                @ Y6
                                @ Y7
                                @ Y8 ) )
                          @ Y3
                          @ Y4
                          @ Y5 ) )
                    @ Y1
                    @ Y2 ) )
              @ Y0 ) ) )
     => $false ) ),
    inference(superposition,[status(thm)],[f16,f22]) ).

thf(f22,plain,
    ( $false
    = ( ?? @ ( $i > $i )
      @ ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( g @ Y2 )
                    = Y1 )
                 => ( ( Y0 @ Y1 )
                    = ( f @ Y2 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f9]) ).

thf(f9,plain,
    ( $false
    = ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( g @ Y1 )
                  = ( g @ Y0 ) )
               => ( ( f @ Y0 )
                  = ( f @ Y1 ) ) ) ) )
     => ( ?? @ ( $i > $i )
        @ ^ [Y0: $i > $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( ( g @ Y2 )
                      = Y1 )
                   => ( ( Y0 @ Y1 )
                      = ( f @ Y2 ) ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f8]) ).

thf(f8,plain,
    ( $false
    = ( ( !! @ ( $i > $i > $o )
        @ ^ [Y0: $i > $i > $o] :
            ( ( !! @ $i
              @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
           => ( ?? @ ( $i > $i )
              @ ^ [Y1: $i > $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) )
     => ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( ( g @ Y1 )
                    = ( g @ Y0 ) )
                 => ( ( f @ Y0 )
                    = ( f @ Y1 ) ) ) ) )
       => ( ?? @ ( $i > $i )
          @ ^ [Y0: $i > $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( ( g @ Y2 )
                        = Y1 )
                     => ( ( Y0 @ Y1 )
                        = ( f @ Y2 ) ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[status(thm)],[f7]) ).

thf(f7,plain,
    ( $true
    = ( ~ ( ( !! @ ( $i > $i > $o )
            @ ^ [Y0: $i > $i > $o] :
                ( ( !! @ $i
                  @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
               => ( ?? @ ( $i > $i )
                  @ ^ [Y1: $i > $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) )
         => ( ( !! @ $i
              @ ^ [Y0: $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ( ( g @ Y1 )
                        = ( g @ Y0 ) )
                     => ( ( f @ Y0 )
                        = ( f @ Y1 ) ) ) ) )
           => ( ?? @ ( $i > $i )
              @ ^ [Y0: $i > $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ( ( g @ Y2 )
                            = Y1 )
                         => ( ( Y0 @ Y1 )
                            = ( f @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f6]) ).

thf(f6,plain,
    ( ( ~ ( ( !! @ ( $i > $i > $o )
            @ ^ [Y0: $i > $i > $o] :
                ( ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ?? @ $i
                      @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
               => ( ?? @ ( $i > $i )
                  @ ^ [Y1: $i > $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) )
         => ( ( !! @ $i
              @ ^ [Y0: $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ( ( g @ Y1 )
                        = ( g @ Y0 ) )
                     => ( ( f @ Y0 )
                        = ( f @ Y1 ) ) ) ) )
           => ( ?? @ ( $i > $i )
              @ ^ [Y0: $i > $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ( ( g @ Y2 )
                            = Y1 )
                         => ( ( Y0 @ Y1 )
                            = ( f @ Y2 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ( ( ~ ( ( !! @ ( $i > $i > $o )
            @ ^ [Y0: $i > $i > $o] :
                ( ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ?? @ $i
                      @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
               => ( ?? @ ( $i > $i )
                  @ ^ [Y1: $i > $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) )
         => ( ( !! @ $i
              @ ^ [Y0: $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( ( ( g @ Y1 )
                        = ( g @ Y0 ) )
                     => ( ( f @ Y0 )
                        = ( f @ Y1 ) ) ) ) )
           => ( ?? @ ( $i > $i )
              @ ^ [Y0: $i > $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( ( ( g @ Y2 )
                            = Y1 )
                         => ( ( Y0 @ Y1 )
                            = ( f @ Y2 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ( ! [X0: $i > $i > $o] :
          ( ! [X1: $i] :
            ? [X2: $i] : ( X0 @ X1 @ X2 )
         => ? [X3: $i > $i] :
            ! [X4: $i] : ( X0 @ X4 @ ( X3 @ X4 ) ) )
     => ( ! [X5: $i,X6: $i] :
            ( ( ( g @ X5 )
              = ( g @ X6 ) )
           => ( ( f @ X6 )
              = ( f @ X5 ) ) )
       => ? [X7: $i > $i] :
          ! [X8: $i,X9: $i] :
            ( ( ( g @ X8 )
              = X9 )
           => ( ( X7 @ X9 )
              = ( f @ X8 ) ) ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: $i > $i > $o] :
          ( ! [X1: $i] :
            ? [X2: $i] : ( X0 @ X1 @ X2 )
         => ? [X3: $i > $i] :
            ! [X1: $i] : ( X0 @ X1 @ ( X3 @ X1 ) ) )
     => ( ! [X1: $i,X2: $i] :
            ( ( ( g @ X1 )
              = ( g @ X2 ) )
           => ( ( f @ X1 )
              = ( f @ X2 ) ) )
       => ? [X3: $i > $i] :
          ! [X1: $i,X2: $i] :
            ( ( ( g @ X1 )
              = X2 )
           => ( ( f @ X1 )
              = ( X3 @ X2 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ( ! [X0: $i > $i > $o] :
        ( ! [X1: $i] :
          ? [X2: $i] : ( X0 @ X1 @ X2 )
       => ? [X3: $i > $i] :
          ! [X1: $i] : ( X0 @ X1 @ ( X3 @ X1 ) ) )
   => ( ! [X1: $i,X2: $i] :
          ( ( ( g @ X1 )
            = ( g @ X2 ) )
         => ( ( f @ X1 )
            = ( f @ X2 ) ) )
     => ? [X3: $i > $i] :
        ! [X1: $i,X2: $i] :
          ( ( ( g @ X1 )
            = X2 )
         => ( ( f @ X1 )
            = ( X3 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ebpKGk1bS4/DTF2THF_6395.p',cTHM588LEM1) ).

thf(f16,plain,
    ! [X1: $i > $i > $o] :
      ( $true
      = ( ( !! @ $i
          @ ^ [Y0: $i] : ( ?? @ $i @ ( X1 @ Y0 ) ) )
       => ( ?? @ ( $i > $i )
          @ ^ [Y0: $i > $i] :
              ( !! @ $i
              @ ^ [Y1: $i] : ( X1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f13]) ).

thf(f13,plain,
    ! [X1: $i > $i > $o] :
      ( $true
      = ( ^ [Y0: $i > $i > $o] :
            ( ( !! @ $i
              @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
           => ( ?? @ ( $i > $i )
              @ ^ [Y1: $i > $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[status(thm)],[f10]) ).

thf(f10,plain,
    ( $true
    = ( !! @ ( $i > $i > $o )
      @ ^ [Y0: $i > $i > $o] :
          ( ( !! @ $i
            @ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
         => ( ?? @ ( $i > $i )
            @ ^ [Y1: $i > $i] :
                ( !! @ $i
                @ ^ [Y2: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f8]) ).

thf(f166,plain,
    ! [X0: $i] :
      ( $true
      = ( ( g @ ( sK4 @ ( f @ ( sK4 @ X0 ) ) ) )
       != sK3 ) ),
    inference(superposition,[status(thm)],[f139,f144]) ).

thf(f144,plain,
    ! [X1: $i] :
      ( ( g @ ( sK4 @ X1 ) )
      = sK3 ),
    inference(equality_proxy_clausification,[status(thm)],[f134]) ).

thf(f139,plain,
    ! [X0: $i] :
      ( $true
      = ( ( g @ ( sK4 @ ( f @ X0 ) ) )
       != ( g @ X0 ) ) ),
    inference(boolean_simplification,[status(thm)],[f136]) ).

thf(f136,plain,
    ! [X0: $i] :
      ( $true
      = ( ( ( g @ ( sK4 @ ( f @ X0 ) ) )
          = ( g @ X0 ) )
       => $false ) ),
    inference(superposition,[status(thm)],[f46,f133]) ).

thf(f133,plain,
    ! [X1: $i] :
      ( ( X1
        = ( f @ ( sK4 @ X1 ) ) )
      = $false ),
    inference(binary_proxy_clausification,[status(thm)],[f132]) ).

thf(f46,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ( ( g @ X2 )
          = ( g @ X1 ) )
       => ( ( f @ X1 )
          = ( f @ X2 ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f45]) ).

thf(f45,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( ( g @ Y0 )
              = ( g @ X1 ) )
           => ( ( f @ X1 )
              = ( f @ Y0 ) ) )
        @ X2 ) ),
    inference(pi_clausification,[status(thm)],[f38]) ).

thf(f38,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( ( g @ Y0 )
              = ( g @ X1 ) )
           => ( ( f @ X1 )
              = ( f @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[status(thm)],[f31]) ).

thf(f31,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( g @ Y1 )
                  = ( g @ Y0 ) )
               => ( ( f @ Y0 )
                  = ( f @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[status(thm)],[f23]) ).

thf(f23,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( g @ Y1 )
                = ( g @ Y0 ) )
             => ( ( f @ Y0 )
                = ( f @ Y1 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO243^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Feb 24 14:26:54 EST 2026
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.28/0.49  ---- Original DTF file ---
% 0.28/0.49  thf(spec,logic,$$dhol).
% 0.28/0.49  %------------------------------------------------------------------------------
% 0.28/0.49  % File     : SYO243^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.49  % Domain   : Syntactic
% 0.28/0.49  % Problem  : TPS problem from BASIC-HO-EQ-THMS
% 0.28/0.49  % Version  : Especial.
% 0.28/0.49  % English  :
% 0.28/0.49  
% 0.28/0.49  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.49  % Source   : [Bro09]
% 0.28/0.49  % Names    : tps_0944 [Bro09]
% 0.28/0.49  
% 0.28/0.49  % Status   : Theorem
% 0.28/0.49  % Rating   : 0.89 v9.1.0, 0.88 v9.0.0, 1.00 v4.0.0
% 0.28/0.49  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 0.28/0.49  %            Number of atoms       :    4 (   4 equ;   0 cnn)
% 0.28/0.49  %            Maximal formula atoms :    4 (   4 avg)
% 0.28/0.49  %            Number of connectives :   17 (   0   ~;   0   |;   0   &;  12   @)
% 0.28/0.49  %                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
% 0.28/0.49  %            Maximal formula depth :    8 (   8 avg)
% 0.28/0.49  %            Number of types       :    2 (   0 usr)
% 0.28/0.49  %            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
% 0.28/0.49  %            Number of symbols     :    3 (   2 usr;   0 con; 1-2 aty)
% 0.28/0.49  %            Number of variables   :   10 (   0   ^;   7   !;   3   ?;  10   :)
% 0.28/0.49  % SPC      : TH0_THM_EQU_NAR
% 0.28/0.49  
% 0.28/0.49  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.49  %            project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.49  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.49  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.49  %------------------------------------------------------------------------------
% 0.28/0.49  thf(f,type,
% 0.28/0.49      f: $i > $i ).
% 0.28/0.49  
% 0.28/0.49  thf(g,type,
% 0.28/0.49      g: $i > $i ).
% 0.28/0.49  
% 0.28/0.49  thf(cTHM588LEM1,conjecture,
% 0.28/0.49      ( ! [Xr: $i > $i > $o] :
% 0.28/0.49          ( ! [Xx: $i] :
% 0.28/0.49            ? [Xy: $i] : ( Xr @ Xx @ Xy )
% 0.28/0.49         => ? [Xh: $i > $i] :
% 0.28/0.49            ! [Xx: $i] : ( Xr @ Xx @ ( Xh @ Xx ) ) )
% 0.28/0.49     => ( ! [Xx: $i,Xy: $i] :
% 0.28/0.49            ( ( ( g @ Xx )
% 0.28/0.49              = ( g @ Xy ) )
% 0.28/0.49           => ( ( f @ Xx )
% 0.28/0.49              = ( f @ Xy ) ) )
% 0.28/0.49       => ? [Xh: $i > $i] :
% 0.28/0.49          ! [Xx: $i,Xy: $i] :
% 0.28/0.49            ( ( ( g @ Xx )
% 0.28/0.49              = Xy )
% 0.28/0.49           => ( ( Xh @ Xy )
% 0.28/0.49              = ( f @ Xx ) ) ) ) ) ).
% 0.28/0.49  
% 0.28/0.49  %------------------------------------------------------------------------------
% 0.28/0.49  ------------------------
% 1.62/1.48  ---- Embedded in THF ---
% 1.62/1.48  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.62/1.48  %%% Generated on Tue Feb 24 14:26:55 EST 2026
% 1.62/1.48  %%% using '$$dhol' embedding, version 1.3.0.
% 1.62/1.48  %%% Logic specification used:
% 1.62/1.48  %%% thf(spec, logic, $$dhol).
% 1.62/1.48  
% 1.62/1.48  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ebpKGk1bS4/DTF2DTF6395.p
% See solution above
% 1.62/1.49  ------------------------
% 1.62/1.49  ---- Cleaned THF ---
% 1.62/1.50  thf(f,type,
% 1.62/1.50      f: $i > $i ).
% 1.62/1.50  
% 1.62/1.50  thf(g,type,
% 1.62/1.50      g: $i > $i ).
% 1.62/1.50  
% 1.62/1.50  thf(cTHM588LEM1,conjecture,
% 1.62/1.50      ( ! [Xr: $i > $i > $o] :
% 1.62/1.50          ( ! [Xx: $i] :
% 1.62/1.50            ? [Xy: $i] : ( Xr @ Xx @ Xy )
% 1.62/1.50         => ? [Xh: $i > $i] :
% 1.62/1.50            ! [Xx: $i] : ( Xr @ Xx @ ( Xh @ Xx ) ) )
% 1.62/1.50     => ( ! [Xx: $i,Xy: $i] :
% 1.62/1.50            ( ( ( g @ Xx )
% 1.62/1.50              = ( g @ Xy ) )
% 1.62/1.50           => ( ( f @ Xx )
% 1.62/1.50              = ( f @ Xy ) ) )
% 1.62/1.50       => ? [Xh: $i > $i] :
% 1.62/1.50          ! [Xx: $i,Xy: $i] :
% 1.62/1.50            ( ( ( g @ Xx )
% 1.62/1.50              = Xy )
% 1.62/1.50           => ( ( Xh @ Xy )
% 1.62/1.50              = ( f @ Xx ) ) ) ) ) ).
% 1.62/1.50  ------------------------
% 1.81/1.52  % (6554)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/2Mi)
% 1.81/1.52  % (6551)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/183Mi)
% 1.81/1.52  % (6552)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 DTF2THF_6395 for (2999ds/4Mi)
% 1.81/1.52  % (6556)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/275Mi)
% 1.81/1.52  % (6553)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 DTF2THF_6395 for (2999ds/27Mi)
% 1.81/1.52  % (6557)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/18Mi)
% 1.81/1.52  % (6555)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/2Mi)
% 1.81/1.52  % (6554)Instruction limit reached!
% 1.81/1.52  % (6554)------------------------------
% 1.81/1.52  % (6554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52  % (6554)Termination reason: Unknown
% 1.81/1.52  % (6554)Termination phase: Saturation
% 1.81/1.52  
% 1.81/1.52  % (6554)Memory used [KB]: 5500
% 1.81/1.52  % (6554)Time elapsed: 0.004 s
% 1.81/1.52  % (6554)Instructions burned: 2 (million)
% 1.81/1.52  % (6554)------------------------------
% 1.81/1.52  % (6554)------------------------------
% 1.81/1.52  % (6552)Instruction limit reached!
% 1.81/1.52  % (6552)------------------------------
% 1.81/1.52  % (6552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52  % (6552)Termination reason: Unknown
% 1.81/1.52  % (6552)Termination phase: Saturation
% 1.81/1.52  
% 1.81/1.52  % (6552)Memory used [KB]: 5500
% 1.81/1.52  % (6552)Time elapsed: 0.004 s
% 1.81/1.52  % (6552)Instructions burned: 4 (million)
% 1.81/1.52  % (6552)------------------------------
% 1.81/1.52  % (6552)------------------------------
% 1.81/1.52  % (6553)Refutation not found, incomplete strategy
% 1.81/1.52  % (6553)------------------------------
% 1.81/1.52  % (6553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52  % (6555)Instruction limit reached!
% 1.81/1.52  % (6555)------------------------------
% 1.81/1.52  % (6555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52  % (6555)Termination reason: Unknown
% 1.81/1.52  % (6555)Termination phase: Saturation
% 1.81/1.52  
% 1.81/1.52  % (6555)Memory used [KB]: 5500
% 1.81/1.52  % (6555)Time elapsed: 0.003 s
% 1.81/1.52  % (6555)Instructions burned: 3 (million)
% 1.81/1.52  % (6555)------------------------------
% 1.81/1.52  % (6555)------------------------------
% 1.81/1.52  % (6553)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.52  
% 1.81/1.52  
% 1.81/1.52  % (6553)Memory used [KB]: 5500
% 1.81/1.52  % (6553)Time elapsed: 0.004 s
% 1.81/1.52  % (6553)Instructions burned: 4 (million)
% 1.81/1.52  % (6553)------------------------------
% 1.81/1.52  % (6553)------------------------------
% 1.81/1.53  % (6557)Instruction limit reached!
% 1.81/1.53  % (6557)------------------------------
% 1.81/1.53  % (6557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.53  % (6557)Termination reason: Unknown
% 1.81/1.53  % (6557)Termination phase: Saturation
% 1.81/1.53  
% 1.81/1.53  % (6557)Memory used [KB]: 5628
% 1.81/1.53  % (6557)Time elapsed: 0.012 s
% 1.81/1.53  % (6557)Instructions burned: 18 (million)
% 1.81/1.53  % (6557)------------------------------
% 1.81/1.53  % (6557)------------------------------
% 1.81/1.53  % (6558)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/3Mi)
% 1.81/1.54  % (6559)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 DTF2THF_6395 for (2999ds/37Mi)
% 1.81/1.54  % (6561)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/3Mi)
% 1.81/1.54  % (6560)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 DTF2THF_6395 for (2999ds/15Mi)
% 1.81/1.54  % (6558)Instruction limit reached!
% 1.81/1.54  % (6558)------------------------------
% 1.81/1.54  % (6558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.54  % (6558)Termination reason: Unknown
% 1.81/1.54  % (6558)Termination phase: Saturation
% 1.81/1.54  
% 1.81/1.54  % (6558)Memory used [KB]: 5500
% 1.81/1.54  % (6558)Time elapsed: 0.004 s
% 1.81/1.54  % (6558)Instructions burned: 3 (million)
% 1.81/1.54  % (6558)------------------------------
% 1.81/1.54  % (6558)------------------------------
% 1.81/1.54  % (6561)Instruction limit reached!
% 1.81/1.54  % (6561)------------------------------
% 1.81/1.54  % (6561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.54  % (6561)Termination reason: Unknown
% 1.81/1.54  % (6561)Termination phase: Saturation
% 1.81/1.54  
% 1.81/1.54  % (6561)Memory used [KB]: 5500
% 1.81/1.54  % (6561)Time elapsed: 0.003 s
% 1.81/1.54  % (6561)Instructions burned: 3 (million)
% 1.81/1.54  % (6561)------------------------------
% 1.81/1.54  % (6561)------------------------------
% 1.81/1.54  % (6562)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 DTF2THF_6395 for (2999ds/1041Mi)
% 1.81/1.54  % (6560)Instruction limit reached!
% 1.81/1.54  % (6560)------------------------------
% 1.81/1.54  % (6560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.54  % (6560)Termination reason: Unknown
% 1.81/1.54  % (6560)Termination phase: Saturation
% 1.81/1.54  
% 1.81/1.54  % (6560)Memory used [KB]: 5628
% 1.81/1.54  % (6560)Time elapsed: 0.010 s
% 1.81/1.54  % (6560)Instructions burned: 15 (million)
% 1.81/1.54  % (6560)------------------------------
% 1.81/1.54  % (6560)------------------------------
% 1.81/1.55  % (6559)Instruction limit reached!
% 1.81/1.55  % (6559)------------------------------
% 1.81/1.55  % (6559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.55  % (6559)Termination reason: Unknown
% 1.81/1.55  % (6559)Termination phase: Saturation
% 1.81/1.55  
% 1.81/1.55  % (6559)Memory used [KB]: 5884
% 1.81/1.55  % (6559)Time elapsed: 0.019 s
% 1.81/1.55  % (6559)Instructions burned: 37 (million)
% 1.81/1.55  % (6559)------------------------------
% 1.81/1.55  % (6559)------------------------------
% 1.81/1.55  % (6564)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/16Mi)
% 1.81/1.55  % (6563)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/7Mi)
% 1.81/1.56  % (6563)Instruction limit reached!
% 1.81/1.56  % (6563)------------------------------
% 1.81/1.56  % (6563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.56  % (6563)Termination reason: Unknown
% 1.81/1.56  % (6563)Termination phase: Saturation
% 1.81/1.56  
% 1.81/1.56  % (6563)Memory used [KB]: 1023
% 1.81/1.56  % (6563)Time elapsed: 0.006 s
% 1.81/1.56  % (6563)Instructions burned: 7 (million)
% 1.81/1.56  % (6563)------------------------------
% 1.81/1.56  % (6563)------------------------------
% 1.81/1.56  % (6565)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 DTF2THF_6395 for (2999ds/3Mi)
% 1.81/1.56  % (6565)Instruction limit reached!
% 1.81/1.56  % (6565)------------------------------
% 1.81/1.56  % (6565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.56  % (6565)Termination reason: Unknown
% 1.81/1.56  % (6565)Termination phase: Saturation
% 1.81/1.56  
% 1.81/1.56  % (6565)Memory used [KB]: 5500
% 1.81/1.56  % (6565)Time elapsed: 0.004 s
% 1.81/1.56  % (6565)Instructions burned: 4 (million)
% 1.81/1.56  % (6565)------------------------------
% 1.81/1.56  % (6565)------------------------------
% 1.81/1.56  % (6564)Instruction limit reached!
% 1.81/1.56  % (6564)------------------------------
% 1.81/1.56  % (6564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.56  % (6564)Termination reason: Unknown
% 1.81/1.56  % (6564)Termination phase: Saturation
% 1.81/1.56  
% 1.81/1.56  % (6564)Memory used [KB]: 5628
% 1.81/1.56  % (6564)Time elapsed: 0.011 s
% 1.81/1.56  % (6564)Instructions burned: 17 (million)
% 1.81/1.56  % (6564)------------------------------
% 1.81/1.56  % (6564)------------------------------
% 1.81/1.57  % (6566)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 DTF2THF_6395 for (2999ds/3Mi)
% 1.81/1.57  % (6566)Instruction limit reached!
% 1.81/1.57  % (6566)------------------------------
% 1.81/1.57  % (6566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.57  % (6566)Termination reason: Unknown
% 1.81/1.57  % (6566)Termination phase: Saturation
% 1.81/1.57  
% 1.81/1.57  % (6566)Memory used [KB]: 5500
% 1.81/1.57  % (6566)Time elapsed: 0.004 s
% 1.81/1.57  % (6566)Instructions burned: 3 (million)
% 1.81/1.57  % (6566)------------------------------
% 1.81/1.57  % (6566)------------------------------
% 1.81/1.58  % (6567)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/7Mi)
% 1.81/1.58  % (6568)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/3Mi)
% 1.81/1.58  % (6569)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/4Mi)
% 1.81/1.58  % (6567)Instruction limit reached!
% 1.81/1.58  % (6567)------------------------------
% 1.81/1.58  % (6567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.58  % (6567)Termination reason: Unknown
% 1.81/1.58  % (6567)Termination phase: Saturation
% 1.81/1.58  
% 1.81/1.58  % (6567)Memory used [KB]: 5500
% 1.81/1.58  % (6567)Time elapsed: 0.006 s
% 1.81/1.58  % (6567)Instructions burned: 8 (million)
% 1.81/1.58  % (6567)------------------------------
% 1.81/1.58  % (6567)------------------------------
% 1.81/1.58  % (6568)Instruction limit reached!
% 1.81/1.58  % (6568)------------------------------
% 1.81/1.58  % (6568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.58  % (6568)Termination reason: Unknown
% 1.81/1.58  % (6568)Termination phase: Saturation
% 1.81/1.58  
% 1.81/1.58  % (6568)Memory used [KB]: 5500
% 1.81/1.58  % (6568)Time elapsed: 0.004 s
% 1.81/1.58  % (6568)Instructions burned: 4 (million)
% 1.81/1.58  % (6568)------------------------------
% 1.81/1.58  % (6568)------------------------------
% 1.81/1.58  % (6569)Instruction limit reached!
% 1.81/1.58  % (6569)------------------------------
% 1.81/1.58  % (6569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.58  % (6569)Termination reason: Unknown
% 1.81/1.58  % (6569)Termination phase: Saturation
% 1.81/1.58  
% 1.81/1.58  % (6569)Memory used [KB]: 5500
% 1.81/1.58  % (6569)Time elapsed: 0.004 s
% 1.81/1.58  % (6569)Instructions burned: 4 (million)
% 1.81/1.58  % (6569)------------------------------
% 1.81/1.58  % (6569)------------------------------
% 1.81/1.59  % (6570)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/18Mi)
% 1.81/1.60  % (6571)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/710Mi)
% 1.81/1.60  % (6572)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/6Mi)
% 1.81/1.60  % (6573)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/902Mi)
% 1.81/1.60  % (6570)Instruction limit reached!
% 1.81/1.60  % (6570)------------------------------
% 1.81/1.60  % (6570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.60  % (6570)Termination reason: Unknown
% 1.81/1.60  % (6570)Termination phase: Saturation
% 1.81/1.60  
% 1.81/1.60  % (6570)Memory used [KB]: 5500
% 1.81/1.60  % (6570)Time elapsed: 0.012 s
% 1.81/1.60  % (6570)Instructions burned: 18 (million)
% 1.81/1.60  % (6570)------------------------------
% 1.81/1.60  % (6570)------------------------------
% 1.81/1.60  % (6572)Instruction limit reached!
% 1.81/1.60  % (6572)------------------------------
% 1.81/1.60  % (6572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.60  % (6572)Termination reason: Unknown
% 1.81/1.60  % (6572)Termination phase: Saturation
% 1.81/1.60  
% 1.81/1.60  % (6572)Memory used [KB]: 5500
% 1.81/1.60  % (6572)Time elapsed: 0.006 s
% 1.81/1.60  % (6572)Instructions burned: 7 (million)
% 1.81/1.60  % (6572)------------------------------
% 1.81/1.60  % (6572)------------------------------
% 1.81/1.61  % (6551)Instruction limit reached!
% 1.81/1.61  % (6551)------------------------------
% 1.81/1.61  % (6551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.61  % (6551)Termination reason: Unknown
% 1.81/1.61  % (6551)Termination phase: Saturation
% 1.81/1.61  
% 1.81/1.61  % (6551)Memory used [KB]: 6140
% 1.81/1.61  % (6551)Time elapsed: 0.091 s
% 1.81/1.61  % (6551)Instructions burned: 184 (million)
% 1.81/1.61  % (6551)------------------------------
% 1.81/1.61  % (6551)------------------------------
% 1.81/1.62  % (6574)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/21Mi)
% 1.81/1.62  % (6575)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/5Mi)
% 1.81/1.62  % (6575)Instruction limit reached!
% 1.81/1.62  % (6575)------------------------------
% 1.81/1.62  % (6575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.62  % (6575)Termination reason: Unknown
% 1.81/1.62  % (6575)Termination phase: Saturation
% 1.81/1.62  
% 1.81/1.62  % (6575)Memory used [KB]: 5500
% 1.81/1.62  % (6575)Time elapsed: 0.026 s
% 1.81/1.62  % (6575)Instructions burned: 6 (million)
% 1.81/1.62  % (6575)------------------------------
% 1.81/1.62  % (6575)------------------------------
% 1.81/1.62  % (6576)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_6395 for (2999ds/6Mi)
% 1.81/1.63  % (6576)Instruction limit reached!
% 1.81/1.63  % (6576)------------------------------
% 1.81/1.63  % (6576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.63  % (6576)Termination reason: Unknown
% 1.81/1.63  % (6576)Termination phase: Saturation
% 1.81/1.63  
% 1.81/1.63  % (6576)Memory used [KB]: 5500
% 1.81/1.63  % (6576)Time elapsed: 0.005 s
% 1.81/1.63  % (6576)Instructions burned: 7 (million)
% 1.81/1.63  % (6576)------------------------------
% 1.81/1.63  % (6576)------------------------------
% 1.81/1.63  % (6574)Instruction limit reached!
% 1.81/1.63  % (6574)------------------------------
% 1.81/1.63  % (6574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.63  % (6574)Termination reason: Unknown
% 1.81/1.63  % (6574)Termination phase: Saturation
% 1.81/1.63  
% 1.81/1.63  % (6574)Memory used [KB]: 5628
% 1.81/1.63  % (6574)Time elapsed: 0.035 s
% 1.81/1.63  % (6574)Instructions burned: 21 (million)
% 1.81/1.63  % (6574)------------------------------
% 1.81/1.63  % (6574)------------------------------
% 1.81/1.64  % (6577)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/377Mi)
% 1.81/1.64  % (6556)Instruction limit reached!
% 1.81/1.64  % (6556)------------------------------
% 1.81/1.64  % (6556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.64  % (6556)Termination reason: Unknown
% 1.81/1.64  % (6556)Termination phase: Saturation
% 1.81/1.64  
% 1.81/1.64  % (6556)Memory used [KB]: 5756
% 1.81/1.64  % (6556)Time elapsed: 0.128 s
% 1.81/1.64  % (6556)Instructions burned: 276 (million)
% 1.81/1.64  % (6556)------------------------------
% 1.81/1.64  % (6556)------------------------------
% 1.81/1.64  % (6578)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/779Mi)
% 1.81/1.64  % (6579)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/19Mi)
% 1.81/1.65  % (6579)Instruction limit reached!
% 1.81/1.65  % (6579)------------------------------
% 1.81/1.65  % (6579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.65  % (6579)Termination reason: Unknown
% 1.81/1.65  % (6579)Termination phase: Saturation
% 1.81/1.65  
% 1.81/1.65  % (6579)Memory used [KB]: 5628
% 1.81/1.65  % (6579)Time elapsed: 0.036 s
% 1.81/1.65  % (6579)Instructions burned: 20 (million)
% 1.81/1.65  % (6579)------------------------------
% 1.81/1.65  % (6579)------------------------------
% 1.81/1.66  % (6580)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/879Mi)
% 1.81/1.67  % (6580)Refutation not found, incomplete strategy
% 1.81/1.67  % (6580)------------------------------
% 1.81/1.67  % (6580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.67  % (6580)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.67  
% 1.81/1.67  
% 1.81/1.67  % (6580)Memory used [KB]: 5628
% 1.81/1.67  % (6580)Time elapsed: 0.010 s
% 1.81/1.67  % (6580)Instructions burned: 14 (million)
% 1.81/1.67  % (6580)------------------------------
% 1.81/1.67  % (6580)------------------------------
% 1.81/1.67  % (6581)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/17Mi)
% 1.81/1.68  % (6581)Instruction limit reached!
% 1.81/1.68  % (6581)------------------------------
% 1.81/1.68  % (6581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.68  % (6581)Termination reason: Unknown
% 1.81/1.68  % (6581)Termination phase: Saturation
% 1.81/1.68  
% 1.81/1.68  % (6581)Memory used [KB]: 5500
% 1.81/1.68  % (6581)Time elapsed: 0.011 s
% 1.81/1.68  % (6581)Instructions burned: 17 (million)
% 1.81/1.68  % (6581)------------------------------
% 1.81/1.68  % (6581)------------------------------
% 1.81/1.68  % (6582)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/3Mi)
% 1.81/1.69  % (6582)Instruction limit reached!
% 1.81/1.69  % (6582)------------------------------
% 1.81/1.69  % (6582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.69  % (6582)Termination reason: Unknown
% 1.81/1.69  % (6582)Termination phase: Saturation
% 1.81/1.69  
% 1.81/1.69  % (6582)Memory used [KB]: 5500
% 1.81/1.69  % (6582)Time elapsed: 0.004 s
% 1.81/1.69  % (6582)Instructions burned: 4 (million)
% 1.81/1.69  % (6582)------------------------------
% 1.81/1.69  % (6582)------------------------------
% 1.81/1.70  % (6583)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/30Mi)
% 1.81/1.70  % (6584)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_6395 for (2998ds/127Mi)
% 1.81/1.71  % (6583)Instruction limit reached!
% 1.81/1.71  % (6583)------------------------------
% 1.81/1.71  % (6583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.71  % (6583)Termination reason: Unknown
% 1.81/1.71  % (6583)Termination phase: Saturation
% 1.81/1.71  
% 1.81/1.71  % (6583)Memory used [KB]: 5756
% 1.81/1.71  % (6583)Time elapsed: 0.018 s
% 1.81/1.71  % (6583)Instructions burned: 30 (million)
% 1.81/1.71  % (6583)------------------------------
% 1.81/1.71  % (6583)------------------------------
% 1.81/1.73  % (6585)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_6395 for (2997ds/100Mi)
% 1.81/1.76  % (6584)Instruction limit reached!
% 1.81/1.76  % (6584)------------------------------
% 1.81/1.76  % (6584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.76  % (6584)Termination reason: Unknown
% 1.81/1.76  % (6584)Termination phase: Saturation
% 1.81/1.76  
% 1.81/1.76  % (6584)Memory used [KB]: 6524
% 1.81/1.76  % (6584)Time elapsed: 0.062 s
% 1.81/1.76  % (6584)Instructions burned: 127 (million)
% 1.81/1.76  % (6584)------------------------------
% 1.81/1.76  % (6584)------------------------------
% 1.81/1.78  % (6585)Instruction limit reached!
% 1.81/1.78  % (6585)------------------------------
% 1.81/1.78  % (6585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.78  % (6585)Termination reason: Unknown
% 1.81/1.78  % (6585)Termination phase: Saturation
% 1.81/1.78  
% 1.81/1.78  % (6585)Memory used [KB]: 5628
% 1.81/1.78  % (6585)Time elapsed: 0.048 s
% 1.81/1.78  % (6585)Instructions burned: 100 (million)
% 1.81/1.78  % (6585)------------------------------
% 1.81/1.78  % (6585)------------------------------
% 1.81/1.78  % (6586)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_6395 for (2997ds/3Mi)
% 1.81/1.78  % (6586)Instruction limit reached!
% 1.81/1.78  % (6586)------------------------------
% 1.81/1.78  % (6586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.78  % (6586)Termination reason: Unknown
% 1.81/1.78  % (6586)Termination phase: Saturation
% 1.81/1.78  
% 1.81/1.78  % (6586)Memory used [KB]: 5500
% 1.81/1.78  % (6586)Time elapsed: 0.003 s
% 1.81/1.78  % (6586)Instructions burned: 3 (million)
% 1.81/1.78  % (6586)------------------------------
% 1.81/1.78  % (6586)------------------------------
% 1.81/1.79  % (6587)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_6395 for (2997ds/20Mi)
% 1.81/1.80  % (6588)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_6395 for (2997ds/86Mi)
% 1.81/1.80  % (6587)Refutation not found, incomplete strategy
% 1.81/1.80  % (6587)------------------------------
% 1.81/1.80  % (6587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.80  % (6587)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.80  
% 1.81/1.80  
% 1.81/1.80  % (6587)Memory used [KB]: 5628
% 1.81/1.80  % (6587)Time elapsed: 0.012 s
% 1.81/1.80  % (6587)Instructions burned: 17 (million)
% 1.81/1.80  % (6587)------------------------------
% 1.81/1.80  % (6587)------------------------------
% 1.81/1.80  % (6577)Instruction limit reached!
% 1.81/1.80  % (6577)------------------------------
% 1.81/1.80  % (6577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.80  % (6577)Termination reason: Unknown
% 1.81/1.80  % (6577)Termination phase: Saturation
% 1.81/1.80  
% 1.81/1.80  % (6577)Memory used [KB]: 5756
% 1.81/1.80  % (6577)Time elapsed: 0.190 s
% 1.81/1.80  % (6577)Instructions burned: 378 (million)
% 1.81/1.80  % (6577)------------------------------
% 1.81/1.80  % (6577)------------------------------
% 1.81/1.82  % (6589)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/107Mi)
% 1.81/1.82  % (6590)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/39Mi)
% 1.81/1.82  % (6589)Refutation not found, incomplete strategy
% 1.81/1.82  % (6589)------------------------------
% 1.81/1.82  % (6589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.82  % (6589)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.82  
% 1.81/1.82  
% 1.81/1.82  % (6589)Memory used [KB]: 5500
% 1.81/1.82  % (6589)Time elapsed: 0.003 s
% 1.81/1.82  % (6589)Instructions burned: 2 (million)
% 1.81/1.82  % (6589)------------------------------
% 1.81/1.82  % (6589)------------------------------
% 1.81/1.84  % (6590)Instruction limit reached!
% 1.81/1.84  % (6590)------------------------------
% 1.81/1.84  % (6590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.84  % (6590)Termination reason: Unknown
% 1.81/1.84  % (6590)Termination phase: Saturation
% 1.81/1.84  
% 1.81/1.84  % (6590)Memory used [KB]: 5884
% 1.81/1.84  % (6590)Time elapsed: 0.022 s
% 1.81/1.84  % (6590)Instructions burned: 39 (million)
% 1.81/1.84  % (6590)------------------------------
% 1.81/1.84  % (6590)------------------------------
% 1.81/1.84  % (6591)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/448Mi)
% 1.81/1.84  % (6588)Instruction limit reached!
% 1.81/1.84  % (6588)------------------------------
% 1.81/1.84  % (6588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.84  % (6588)Termination reason: Unknown
% 1.81/1.84  % (6588)Termination phase: Saturation
% 1.81/1.84  
% 1.81/1.84  % (6588)Memory used [KB]: 5628
% 1.81/1.84  % (6588)Time elapsed: 0.045 s
% 1.81/1.84  % (6588)Instructions burned: 87 (million)
% 1.81/1.84  % (6588)------------------------------
% 1.81/1.84  % (6588)------------------------------
% 1.81/1.86  % (6592)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/46Mi)
% 1.81/1.86  % (6593)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/98Mi)
% 1.81/1.87  % (6593)Refutation not found, incomplete strategy
% 1.81/1.87  % (6593)------------------------------
% 1.81/1.87  % (6593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.87  % (6593)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.87  
% 1.81/1.87  
% 1.81/1.87  % (6593)Memory used [KB]: 1023
% 1.81/1.87  % (6593)Time elapsed: 0.009 s
% 1.81/1.87  % (6593)Instructions burned: 14 (million)
% 1.81/1.87  % (6593)------------------------------
% 1.81/1.87  % (6593)------------------------------
% 1.81/1.88  % (6592)Instruction limit reached!
% 1.81/1.88  % (6592)------------------------------
% 1.81/1.88  % (6592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.88  % (6592)Termination reason: Unknown
% 1.81/1.88  % (6592)Termination phase: Saturation
% 1.81/1.88  
% 1.81/1.88  % (6592)Memory used [KB]: 5756
% 1.81/1.88  % (6592)Time elapsed: 0.027 s
% 1.81/1.88  % (6592)Instructions burned: 46 (million)
% 1.81/1.88  % (6592)------------------------------
% 1.81/1.88  % (6592)------------------------------
% 1.81/1.88  % (6594)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/507Mi)
% 1.81/1.90  % (6595)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_6395 for (2996ds/149Mi)
% 1.81/1.92  % (6571)Instruction limit reached!
% 1.81/1.92  % (6571)------------------------------
% 1.81/1.92  % (6571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.92  % (6571)Termination reason: Unknown
% 1.81/1.92  % (6571)Termination phase: Saturation
% 1.81/1.92  
% 1.81/1.92  % (6571)Memory used [KB]: 7036
% 1.81/1.92  % (6571)Time elapsed: 0.330 s
% 1.81/1.92  % (6571)Instructions burned: 711 (million)
% 1.81/1.93  % (6571)------------------------------
% 1.81/1.93  % (6571)------------------------------
% 1.81/1.94  % (6596)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_6395 for (2995ds/39Mi)
% 1.81/1.96  % (6596)Instruction limit reached!
% 1.81/1.96  % (6596)------------------------------
% 1.81/1.96  % (6596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.96  % (6596)Termination reason: Unknown
% 1.81/1.96  % (6596)Termination phase: Saturation
% 1.81/1.96  
% 1.81/1.96  % (6596)Memory used [KB]: 5500
% 1.81/1.96  % (6596)Time elapsed: 0.020 s
% 1.81/1.96  % (6596)Instructions burned: 41 (million)
% 1.81/1.96  % (6596)------------------------------
% 1.81/1.96  % (6596)------------------------------
% 1.81/1.97  % (6595)Instruction limit reached!
% 1.81/1.97  % (6595)------------------------------
% 1.81/1.97  % (6595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.97  % (6595)Termination reason: Unknown
% 1.81/1.97  % (6595)Termination phase: Saturation
% 1.81/1.97  
% 1.81/1.97  % (6595)Memory used [KB]: 6140
% 1.81/1.97  % (6595)Time elapsed: 0.072 s
% 1.81/1.97  % (6595)Instructions burned: 150 (million)
% 1.81/1.97  % (6595)------------------------------
% 1.81/1.97  % (6595)------------------------------
% 1.81/1.98  % (6597)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_6395 for (2995ds/6Mi)
% 1.81/1.98  % (6597)Instruction limit reached!
% 1.81/1.98  % (6597)------------------------------
% 1.81/1.98  % (6597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.98  % (6597)Termination reason: Unknown
% 1.81/1.98  % (6597)Termination phase: Saturation
% 1.81/1.98  
% 1.81/1.98  % (6597)Memory used [KB]: 9978
% 1.81/1.98  % (6597)Time elapsed: 0.007 s
% 1.81/1.98  % (6597)Instructions burned: 7 (million)
% 1.81/1.98  % (6597)------------------------------
% 1.81/1.98  % (6597)------------------------------
% 1.81/1.99  % (6598)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_6395 for (2995ds/1087Mi)
% 1.81/1.99  % (6578)Instruction limit reached!
% 1.81/1.99  % (6578)------------------------------
% 1.81/1.99  % (6578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.99  % (6578)Termination reason: Unknown
% 1.81/1.99  % (6578)Termination phase: Saturation
% 1.81/1.99  
% 1.81/1.99  % (6578)Memory used [KB]: 14456
% 1.81/1.99  % (6578)Time elapsed: 0.372 s
% 1.81/1.99  % (6578)Instructions burned: 780 (million)
% 1.81/1.99  % (6578)------------------------------
% 1.81/1.99  % (6578)------------------------------
% 1.81/2.00  % (6599)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_6395 for (2995ds/47Mi)
% 1.81/2.01  % (6600)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_6395 for (2995ds/44Mi)
% 1.81/2.02  % (6573)Instruction limit reached!
% 1.81/2.02  % (6573)------------------------------
% 1.81/2.02  % (6573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/2.02  % (6573)Termination reason: Unknown
% 1.81/2.02  % (6573)Termination phase: Saturation
% 1.81/2.02  
% 1.81/2.02  % (6573)Memory used [KB]: 6524
% 1.81/2.02  % (6573)Time elapsed: 0.422 s
% 1.81/2.02  % (6573)Instructions burned: 903 (million)
% 1.81/2.02  % (6573)------------------------------
% 1.81/2.02  % (6573)------------------------------
% 1.81/2.02  % (6562)Instruction limit reached!
% 1.81/2.02  % (6562)------------------------------
% 1.81/2.02  % (6562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/2.02  % (6562)Termination reason: Unknown
% 1.81/2.02  % (6562)Termination phase: Saturation
% 1.81/2.02  
% 1.81/2.02  % (6562)Memory used [KB]: 6140
% 1.81/2.02  % (6562)Time elapsed: 0.482 s
% 1.81/2.02  % (6562)Instructions burned: 1041 (million)
% 1.81/2.02  % (6562)------------------------------
% 1.81/2.02  % (6562)------------------------------
% 1.81/2.02  % (6599)Instruction limit reached!
% 1.81/2.02  % (6599)------------------------------
% 1.81/2.02  % (6599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/2.02  % (6599)Termination reason: Unknown
% 1.81/2.02  % (6599)Termination phase: Saturation
% 1.81/2.02  
% 1.81/2.02  % (6599)Memory used [KB]: 5756
% 1.81/2.02  % (6599)Time elapsed: 0.026 s
% 1.81/2.02  % (6599)Instructions burned: 48 (million)
% 1.81/2.02  % (6599)------------------------------
% 1.81/2.02  % (6599)------------------------------
% 5.39/2.03  % (6600)Instruction limit reached!
% 5.39/2.03  % (6600)------------------------------
% 5.39/2.03  % (6600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.03  % (6600)Termination reason: Unknown
% 5.39/2.03  % (6600)Termination phase: Saturation
% 5.39/2.03  
% 5.39/2.03  % (6600)Memory used [KB]: 1535
% 5.39/2.03  % (6600)Time elapsed: 0.024 s
% 5.39/2.03  % (6600)Instructions burned: 45 (million)
% 5.39/2.03  % (6600)------------------------------
% 5.39/2.03  % (6600)------------------------------
% 5.39/2.04  % (6601)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/432Mi)
% 5.39/2.04  % (6602)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/62Mi)
% 5.39/2.04  % (6603)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/31Mi)
% 5.39/2.05  % (6604)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/96Mi)
% 5.39/2.05  % (6591)Instruction limit reached!
% 5.39/2.05  % (6591)------------------------------
% 5.39/2.05  % (6591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.05  % (6591)Termination reason: Unknown
% 5.39/2.05  % (6591)Termination phase: Saturation
% 5.39/2.05  
% 5.39/2.05  % (6591)Memory used [KB]: 6396
% 5.39/2.05  % (6591)Time elapsed: 0.214 s
% 5.39/2.05  % (6591)Instructions burned: 448 (million)
% 5.39/2.05  % (6591)------------------------------
% 5.39/2.05  % (6591)------------------------------
% 5.39/2.06  % (6603)Instruction limit reached!
% 5.39/2.06  % (6603)------------------------------
% 5.39/2.06  % (6603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.06  % (6603)Termination reason: Unknown
% 5.39/2.06  % (6603)Termination phase: Saturation
% 5.39/2.06  
% 5.39/2.06  % (6603)Memory used [KB]: 5756
% 5.39/2.06  % (6603)Time elapsed: 0.040 s
% 5.39/2.06  % (6603)Instructions burned: 31 (million)
% 5.39/2.06  % (6603)------------------------------
% 5.39/2.06  % (6603)------------------------------
% 5.39/2.07  % (6605)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/453Mi)
% 5.39/2.07  % (6602)Instruction limit reached!
% 5.39/2.07  % (6602)------------------------------
% 5.39/2.07  % (6602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.07  % (6602)Termination reason: Unknown
% 5.39/2.07  % (6602)Termination phase: Saturation
% 5.39/2.07  
% 5.39/2.07  % (6602)Memory used [KB]: 5884
% 5.39/2.07  % (6602)Time elapsed: 0.054 s
% 5.39/2.07  % (6602)Instructions burned: 62 (million)
% 5.39/2.07  % (6602)------------------------------
% 5.39/2.07  % (6602)------------------------------
% 5.39/2.07  % (6606)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/71Mi)
% 5.39/2.09  % (6607)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_6395 for (2994ds/83Mi)
% 5.39/2.10  % (6604)Instruction limit reached!
% 5.39/2.10  % (6604)------------------------------
% 5.39/2.10  % (6604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.10  % (6604)Termination reason: Unknown
% 5.39/2.10  % (6604)Termination phase: Saturation
% 5.39/2.10  
% 5.39/2.10  % (6604)Memory used [KB]: 5884
% 5.39/2.10  % (6604)Time elapsed: 0.050 s
% 5.39/2.10  % (6604)Instructions burned: 98 (million)
% 5.39/2.10  % (6604)------------------------------
% 5.39/2.10  % (6604)------------------------------
% 5.39/2.10  % (6594)Instruction limit reached!
% 5.39/2.10  % (6594)------------------------------
% 5.39/2.10  % (6594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.10  % (6594)Termination reason: Unknown
% 5.39/2.10  % (6594)Termination phase: Saturation
% 5.39/2.10  
% 5.39/2.10  % (6594)Memory used [KB]: 5884
% 5.39/2.10  % (6594)Time elapsed: 0.217 s
% 5.39/2.10  % (6594)Instructions burned: 509 (million)
% 5.39/2.10  % (6594)------------------------------
% 5.39/2.10  % (6594)------------------------------
% 5.39/2.11  % (6606)Instruction limit reached!
% 5.39/2.11  % (6606)------------------------------
% 5.39/2.11  % (6606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.11  % (6606)Termination reason: Unknown
% 5.39/2.11  % (6606)Termination phase: Saturation
% 5.39/2.11  
% 5.39/2.11  % (6606)Memory used [KB]: 5756
% 5.39/2.11  % (6606)Time elapsed: 0.037 s
% 5.39/2.11  % (6606)Instructions burned: 71 (million)
% 5.39/2.11  % (6606)------------------------------
% 5.39/2.11  % (6606)------------------------------
% 5.39/2.11  % (6608)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/11Mi)
% 5.39/2.11  % (6609)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/41Mi)
% 5.39/2.12  % (6609)Refutation not found, incomplete strategy
% 5.39/2.12  % (6609)------------------------------
% 5.39/2.12  % (6609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.12  % (6609)Termination reason: Refutation not found, incomplete strategy
% 5.39/2.12  
% 5.39/2.12  
% 5.39/2.12  % (6609)Memory used [KB]: 5500
% 5.39/2.12  % (6609)Time elapsed: 0.006 s
% 5.39/2.12  % (6609)Instructions burned: 8 (million)
% 5.39/2.12  % (6609)------------------------------
% 5.39/2.12  % (6609)------------------------------
% 5.39/2.12  % (6608)Instruction limit reached!
% 5.39/2.12  % (6608)------------------------------
% 5.39/2.12  % (6608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.39/2.12  % (6608)Termination reason: Unknown
% 5.39/2.12  % (6608)Termination phase: Saturation
% 5.39/2.12  
% 5.39/2.12  % (6608)Memory used [KB]: 5628
% 5.39/2.12  % (6608)Time elapsed: 0.008 s
% 5.39/2.12  % (6608)Instructions burned: 12 (million)
% 5.39/2.12  % (6608)------------------------------
% 5.39/2.12  % (6608)------------------------------
% 5.39/2.13  % (6610)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/6Mi)
% 5.90/2.13  % (6607)Instruction limit reached!
% 5.90/2.13  % (6607)------------------------------
% 5.90/2.13  % (6607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.13  % (6607)Termination reason: Unknown
% 5.90/2.13  % (6607)Termination phase: Saturation
% 5.90/2.13  
% 5.90/2.13  % (6607)Memory used [KB]: 5756
% 5.90/2.13  % (6607)Time elapsed: 0.043 s
% 5.90/2.13  % (6607)Instructions burned: 83 (million)
% 5.90/2.13  % (6607)------------------------------
% 5.90/2.13  % (6607)------------------------------
% 5.90/2.13  % (6610)Instruction limit reached!
% 5.90/2.13  % (6610)------------------------------
% 5.90/2.13  % (6610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.13  % (6610)Termination reason: Unknown
% 5.90/2.13  % (6610)Termination phase: Saturation
% 5.90/2.13  
% 5.90/2.13  % (6610)Memory used [KB]: 5500
% 5.90/2.13  % (6610)Time elapsed: 0.006 s
% 5.90/2.13  % (6610)Instructions burned: 6 (million)
% 5.90/2.13  % (6610)------------------------------
% 5.90/2.13  % (6610)------------------------------
% 5.90/2.14  % (6611)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/150Mi)
% 5.90/2.14  % (6612)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/343Mi)
% 5.90/2.14  % (6613)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/109Mi)
% 5.90/2.15  % (6614)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/253Mi)
% 5.90/2.15  % (6612)Refutation not found, incomplete strategy
% 5.90/2.15  % (6612)------------------------------
% 5.90/2.15  % (6612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.15  % (6612)Termination reason: Refutation not found, incomplete strategy
% 5.90/2.15  
% 5.90/2.15  
% 5.90/2.15  % (6612)Memory used [KB]: 5628
% 5.90/2.15  % (6612)Time elapsed: 0.010 s
% 5.90/2.15  % (6612)Instructions burned: 15 (million)
% 5.90/2.15  % (6612)------------------------------
% 5.90/2.15  % (6612)------------------------------
% 5.90/2.15  % (6614)Refutation not found, incomplete strategy
% 5.90/2.15  % (6614)------------------------------
% 5.90/2.15  % (6614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.15  % (6614)Termination reason: Refutation not found, incomplete strategy
% 5.90/2.15  
% 5.90/2.15  
% 5.90/2.15  % (6614)Memory used [KB]: 5628
% 5.90/2.15  % (6614)Time elapsed: 0.010 s
% 5.90/2.15  % (6614)Instructions burned: 16 (million)
% 5.90/2.15  % (6614)------------------------------
% 5.90/2.15  % (6614)------------------------------
% 5.90/2.16  % (6615)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/140Mi)
% 5.90/2.17  % (6615)Refutation not found, incomplete strategy
% 5.90/2.17  % (6615)------------------------------
% 5.90/2.17  % (6615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.17  % (6615)Termination reason: Refutation not found, incomplete strategy
% 5.90/2.17  
% 5.90/2.17  
% 5.90/2.17  % (6615)Memory used [KB]: 5500
% 5.90/2.17  % (6615)Time elapsed: 0.005 s
% 5.90/2.17  % (6615)Instructions burned: 5 (million)
% 5.90/2.17  % (6615)------------------------------
% 5.90/2.17  % (6615)------------------------------
% 5.90/2.17  % (6616)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/614Mi)
% 5.90/2.18  % (6616)Refutation not found, incomplete strategy
% 5.90/2.18  % (6616)------------------------------
% 5.90/2.18  % (6616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.18  % (6616)Termination reason: Refutation not found, incomplete strategy
% 5.90/2.18  
% 5.90/2.18  
% 5.90/2.18  % (6616)Memory used [KB]: 5628
% 5.90/2.18  % (6616)Time elapsed: 0.011 s
% 5.90/2.18  % (6616)Instructions burned: 17 (million)
% 5.90/2.18  % (6616)------------------------------
% 5.90/2.18  % (6616)------------------------------
% 5.90/2.18  % (6617)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/202Mi)
% 5.90/2.19  % (6613)Instruction limit reached!
% 5.90/2.19  % (6613)------------------------------
% 5.90/2.19  % (6613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.90/2.19  % (6613)Termination reason: Unknown
% 5.90/2.19  % (6613)Termination phase: Saturation
% 5.90/2.19  
% 5.90/2.19  % (6613)Memory used [KB]: 6780
% 5.90/2.19  % (6613)Time elapsed: 0.051 s
% 5.90/2.19  % (6613)Instructions burned: 110 (million)
% 5.90/2.19  % (6613)------------------------------
% 5.90/2.19  % (6613)------------------------------
% 6.21/2.20  % (6618)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/339Mi)
% 6.21/2.21  % (6611)Instruction limit reached!
% 6.21/2.21  % (6611)------------------------------
% 6.21/2.21  % (6611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.21  % (6611)Termination reason: Unknown
% 6.21/2.21  % (6611)Termination phase: Saturation
% 6.21/2.21  
% 6.21/2.21  % (6611)Memory used [KB]: 6652
% 6.21/2.21  % (6611)Time elapsed: 0.072 s
% 6.21/2.21  % (6611)Instructions burned: 150 (million)
% 6.21/2.21  % (6611)------------------------------
% 6.21/2.21  % (6611)------------------------------
% 6.21/2.21  % (6619)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_6395 for (2993ds/283Mi)
% 6.21/2.22  % (6620)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_6395 for (2992ds/134Mi)
% 6.21/2.24  % (6601)Instruction limit reached!
% 6.21/2.24  % (6601)------------------------------
% 6.21/2.24  % (6601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.24  % (6601)Termination reason: Unknown
% 6.21/2.24  % (6601)Termination phase: Saturation
% 6.21/2.24  
% 6.21/2.24  % (6601)Memory used [KB]: 2558
% 6.21/2.24  % (6601)Time elapsed: 0.226 s
% 6.21/2.24  % (6601)Instructions burned: 432 (million)
% 6.21/2.24  % (6601)------------------------------
% 6.21/2.24  % (6601)------------------------------
% 6.21/2.25  % (6621)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_6395 for (2992ds/298Mi)
% 6.21/2.26  % (6605)Instruction limit reached!
% 6.21/2.26  % (6605)------------------------------
% 6.21/2.26  % (6605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.26  % (6605)Termination reason: Unknown
% 6.21/2.26  % (6605)Termination phase: Saturation
% 6.21/2.26  
% 6.21/2.26  % (6605)Memory used [KB]: 5756
% 6.21/2.26  % (6605)Time elapsed: 0.190 s
% 6.21/2.26  % (6605)Instructions burned: 454 (million)
% 6.21/2.26  % (6605)------------------------------
% 6.21/2.26  % (6605)------------------------------
% 6.21/2.27  % (6622)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_6395 for (2992ds/192Mi)
% 6.21/2.28  % (6617)Instruction limit reached!
% 6.21/2.28  % (6617)------------------------------
% 6.21/2.28  % (6617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.28  % (6617)Termination reason: Unknown
% 6.21/2.28  % (6617)Termination phase: Saturation
% 6.21/2.28  
% 6.21/2.28  % (6617)Memory used [KB]: 5756
% 6.21/2.28  % (6617)Time elapsed: 0.096 s
% 6.21/2.28  % (6617)Instructions burned: 202 (million)
% 6.21/2.28  % (6617)------------------------------
% 6.21/2.28  % (6617)------------------------------
% 6.21/2.29  % (6620)Instruction limit reached!
% 6.21/2.29  % (6620)------------------------------
% 6.21/2.29  % (6620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.29  % (6620)Termination reason: Unknown
% 6.21/2.29  % (6620)Termination phase: Saturation
% 6.21/2.29  
% 6.21/2.29  % (6620)Memory used [KB]: 6140
% 6.21/2.29  % (6620)Time elapsed: 0.068 s
% 6.21/2.29  % (6620)Instructions burned: 134 (million)
% 6.21/2.29  % (6620)------------------------------
% 6.21/2.29  % (6620)------------------------------
% 7.01/2.30  % (6623)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_6395 for (2992ds/258Mi)
% 7.01/2.31  % (6624)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_6395 for (2992ds/90Mi)
% 7.01/2.34  % (6619)Instruction limit reached!
% 7.01/2.34  % (6619)------------------------------
% 7.01/2.34  % (6619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.34  % (6619)Termination reason: Unknown
% 7.01/2.34  % (6619)Termination phase: Saturation
% 7.01/2.34  
% 7.01/2.34  % (6619)Memory used [KB]: 8315
% 7.01/2.34  % (6619)Time elapsed: 0.130 s
% 7.01/2.34  % (6619)Instructions burned: 283 (million)
% 7.01/2.34  % (6619)------------------------------
% 7.01/2.34  % (6619)------------------------------
% 7.01/2.35  % (6624)Instruction limit reached!
% 7.01/2.35  % (6624)------------------------------
% 7.01/2.35  % (6624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.35  % (6624)Termination reason: Unknown
% 7.01/2.35  % (6624)Termination phase: Saturation
% 7.01/2.35  
% 7.01/2.35  % (6624)Memory used [KB]: 5628
% 7.01/2.35  % (6624)Time elapsed: 0.046 s
% 7.01/2.35  % (6624)Instructions burned: 91 (million)
% 7.01/2.35  % (6624)------------------------------
% 7.01/2.35  % (6624)------------------------------
% 7.01/2.36  % (6625)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/231Mi)
% 7.01/2.36  % (6622)Instruction limit reached!
% 7.01/2.36  % (6622)------------------------------
% 7.01/2.36  % (6622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.36  % (6622)Termination reason: Unknown
% 7.01/2.36  % (6622)Termination phase: Saturation
% 7.01/2.36  
% 7.01/2.36  % (6622)Memory used [KB]: 7803
% 7.01/2.36  % (6622)Time elapsed: 0.088 s
% 7.01/2.36  % (6622)Instructions burned: 193 (million)
% 7.01/2.36  % (6622)------------------------------
% 7.01/2.36  % (6622)------------------------------
% 7.01/2.36  % (6618)Instruction limit reached!
% 7.01/2.36  % (6618)------------------------------
% 7.01/2.36  % (6618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.36  % (6618)Termination reason: Unknown
% 7.01/2.36  % (6618)Termination phase: Saturation
% 7.01/2.36  
% 7.01/2.36  % (6618)Memory used [KB]: 5884
% 7.01/2.36  % (6618)Time elapsed: 0.165 s
% 7.01/2.36  % (6618)Instructions burned: 340 (million)
% 7.01/2.36  % (6618)------------------------------
% 7.01/2.36  % (6618)------------------------------
% 7.01/2.37  % (6626)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/458Mi)
% 7.01/2.38  % (6627)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/31Mi)
% 7.01/2.38  % (6628)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/297Mi)
% 7.01/2.39  % (6627)Instruction limit reached!
% 7.01/2.39  % (6627)------------------------------
% 7.01/2.39  % (6627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.39  % (6627)Termination reason: Unknown
% 7.01/2.39  % (6627)Termination phase: Saturation
% 7.01/2.39  
% 7.01/2.39  % (6627)Memory used [KB]: 5756
% 7.01/2.39  % (6627)Time elapsed: 0.019 s
% 7.01/2.39  % (6627)Instructions burned: 32 (million)
% 7.01/2.39  % (6627)------------------------------
% 7.01/2.39  % (6627)------------------------------
% 7.63/2.40  % (6621)Instruction limit reached!
% 7.63/2.40  % (6621)------------------------------
% 7.63/2.40  % (6621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.40  % (6621)Termination reason: Unknown
% 7.63/2.40  % (6621)Termination phase: Saturation
% 7.63/2.40  
% 7.63/2.40  % (6621)Memory used [KB]: 6396
% 7.63/2.40  % (6621)Time elapsed: 0.145 s
% 7.63/2.40  % (6621)Instructions burned: 298 (million)
% 7.63/2.40  % (6621)------------------------------
% 7.63/2.40  % (6621)------------------------------
% 7.63/2.41  % (6623)Instruction limit reached!
% 7.63/2.41  % (6623)------------------------------
% 7.63/2.41  % (6623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.41  % (6623)Termination reason: Unknown
% 7.63/2.41  % (6623)Termination phase: Saturation
% 7.63/2.41  
% 7.63/2.41  % (6623)Memory used [KB]: 6012
% 7.63/2.41  % (6623)Time elapsed: 0.112 s
% 7.63/2.41  % (6623)Instructions burned: 258 (million)
% 7.63/2.41  % (6623)------------------------------
% 7.63/2.41  % (6623)------------------------------
% 7.63/2.41  % (6629)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/987Mi)
% 7.63/2.41  % (6630)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/182Mi)
% 7.63/2.42  % (6631)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_6395 for (2991ds/182Mi)
% 7.63/2.43  % (6631)Refutation not found, incomplete strategy
% 7.63/2.43  % (6631)------------------------------
% 7.63/2.43  % (6631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.43  % (6631)Termination reason: Refutation not found, incomplete strategy
% 7.63/2.43  
% 7.63/2.43  
% 7.63/2.43  % (6631)Memory used [KB]: 5628
% 7.63/2.43  % (6631)Time elapsed: 0.011 s
% 7.63/2.43  % (6631)Instructions burned: 16 (million)
% 7.63/2.43  % (6631)------------------------------
% 7.63/2.43  % (6631)------------------------------
% 7.63/2.45  % (6632)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_6395 for (2990ds/154Mi)
% 7.63/2.48  % (6625)Instruction limit reached!
% 7.63/2.48  % (6625)------------------------------
% 7.63/2.48  % (6625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.48  % (6625)Termination reason: Unknown
% 7.63/2.48  % (6625)Termination phase: Saturation
% 7.63/2.48  
% 7.63/2.48  % (6625)Memory used [KB]: 6268
% 7.63/2.48  % (6625)Time elapsed: 0.125 s
% 7.63/2.48  % (6625)Instructions burned: 232 (million)
% 7.63/2.48  % (6625)------------------------------
% 7.63/2.48  % (6625)------------------------------
% 7.63/2.49  % (6598)Instruction limit reached!
% 7.63/2.49  % (6598)------------------------------
% 7.63/2.49  % (6598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.49  % (6598)Termination reason: Unknown
% 7.63/2.49  % (6598)Termination phase: Saturation
% 7.63/2.49  
% 7.63/2.49  % (6598)Memory used [KB]: 6140
% 7.63/2.49  % (6598)Time elapsed: 0.506 s
% 7.63/2.49  % (6598)Instructions burned: 1087 (million)
% 7.63/2.49  % (6598)------------------------------
% 7.63/2.49  % (6598)------------------------------
% 7.63/2.49  % (6630)Instruction limit reached!
% 7.63/2.49  % (6630)------------------------------
% 7.63/2.49  % (6630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.49  % (6630)Termination reason: Unknown
% 7.63/2.49  % (6630)Termination phase: Saturation
% 7.63/2.49  
% 7.63/2.49  % (6630)Memory used [KB]: 7675
% 7.63/2.49  % (6630)Time elapsed: 0.082 s
% 7.63/2.49  % (6630)Instructions burned: 182 (million)
% 7.63/2.49  % (6630)------------------------------
% 7.63/2.49  % (6630)------------------------------
% 8.29/2.50  % (6633)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_6395 for (2990ds/79Mi)
% 8.29/2.51  % (6633)Refutation not found, incomplete strategy
% 8.29/2.51  % (6633)------------------------------
% 8.29/2.51  % (6633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.29/2.51  % (6633)Termination reason: Refutation not found, incomplete strategy
% 8.29/2.51  
% 8.29/2.51  
% 8.29/2.51  % (6633)Memory used [KB]: 5628
% 8.29/2.51  % (6633)Time elapsed: 0.034 s
% 8.29/2.51  % (6633)Instructions burned: 18 (million)
% 8.29/2.51  % (6633)------------------------------
% 8.29/2.51  % (6633)------------------------------
% 8.29/2.51  % (6634)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_6395 for (2990ds/216Mi)
% 8.29/2.51  % (6635)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_6395 for (2990ds/114Mi)
% 8.29/2.52  % (6628)Instruction limit reached!
% 8.29/2.52  % (6628)------------------------------
% 8.29/2.52  % (6628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.29/2.52  % (6628)Termination reason: Unknown
% 8.29/2.52  % (6628)Termination phase: Saturation
% 8.29/2.52  
% 8.29/2.52  % (6628)Memory used [KB]: 6524
% 8.29/2.52  % (6628)Time elapsed: 0.142 s
% 8.29/2.52  % (6628)Instructions burned: 297 (million)
% 8.29/2.52  % (6628)------------------------------
% 8.29/2.52  % (6628)------------------------------
% 8.29/2.53  % (6632)Instruction limit reached!
% 8.29/2.53  % (6632)------------------------------
% 8.29/2.53  % (6632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.29/2.53  % (6632)Termination reason: Unknown
% 8.29/2.53  % (6632)Termination phase: Saturation
% 8.29/2.53  
% 8.29/2.53  % (6632)Memory used [KB]: 6140
% 8.29/2.53  % (6632)Time elapsed: 0.099 s
% 8.29/2.53  % (6632)Instructions burned: 155 (million)
% 8.29/2.53  % (6632)------------------------------
% 8.29/2.53  % (6632)------------------------------
% 8.29/2.53  % (6636)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_6395 for (2990ds/922Mi)
% 8.29/2.53  % (6637)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_6395 for (2989ds/182Mi)
% 8.29/2.54  % (6638)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_6395 for (2989ds/164Mi)
% 8.29/2.56  % (6626)Instruction limit reached!
% 8.29/2.56  % (6626)------------------------------
% 8.29/2.56  % (6626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.29/2.56  % (6626)Termination reason: Unknown
% 8.29/2.56  % (6626)Termination phase: Saturation
% 8.29/2.56  
% 8.29/2.56  % (6626)Memory used [KB]: 5884
% 8.29/2.56  % (6626)Time elapsed: 0.199 s
% 8.29/2.56  % (6626)Instructions burned: 459 (million)
% 8.29/2.56  % (6626)------------------------------
% 8.29/2.56  % (6626)------------------------------
% 8.29/2.57  % (6635)Instruction limit reached!
% 8.29/2.57  % (6635)------------------------------
% 8.29/2.57  % (6635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.29/2.57  % (6635)Termination reason: Unknown
% 8.29/2.57  % (6635)Termination phase: Saturation
% 8.29/2.57  
% 8.29/2.57  % (6635)Memory used [KB]: 6268
% 8.29/2.57  % (6635)Time elapsed: 0.077 s
% 8.29/2.57  % (6635)Instructions burned: 114 (million)
% 8.29/2.57  % (6635)------------------------------
% 8.29/2.57  % (6635)------------------------------
% 8.29/2.58  % (6640)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_6395 for (2989ds/368Mi)
% 8.29/2.58  % (6639)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_6395 for (2989ds/50Mi)
% 8.86/2.61  % (6639)Instruction limit reached!
% 8.86/2.61  % (6639)------------------------------
% 8.86/2.61  % (6639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.61  % (6639)Termination reason: Unknown
% 8.86/2.61  % (6639)Termination phase: Saturation
% 8.86/2.61  
% 8.86/2.61  % (6639)Memory used [KB]: 10746
% 8.86/2.61  % (6639)Time elapsed: 0.049 s
% 8.86/2.61  % (6639)Instructions burned: 50 (million)
% 8.86/2.61  % (6639)------------------------------
% 8.86/2.61  % (6639)------------------------------
% 8.86/2.61  % (6634)Instruction limit reached!
% 8.86/2.61  % (6634)------------------------------
% 8.86/2.61  % (6634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.61  % (6634)Termination reason: Unknown
% 8.86/2.61  % (6634)Termination phase: Saturation
% 8.86/2.61  
% 8.86/2.61  % (6634)Memory used [KB]: 6268
% 8.86/2.61  % (6634)Time elapsed: 0.124 s
% 8.86/2.61  % (6634)Instructions burned: 217 (million)
% 8.86/2.61  % (6634)------------------------------
% 8.86/2.61  % (6634)------------------------------
% 8.86/2.62  % (6637)Instruction limit reached!
% 8.86/2.62  % (6637)------------------------------
% 8.86/2.62  % (6637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.62  % (6637)Termination reason: Unknown
% 8.86/2.62  % (6637)Termination phase: Saturation
% 8.86/2.62  
% 8.86/2.62  % (6637)Memory used [KB]: 5756
% 8.86/2.62  % (6637)Time elapsed: 0.105 s
% 8.86/2.62  % (6637)Instructions burned: 183 (million)
% 8.86/2.62  % (6637)------------------------------
% 8.86/2.62  % (6637)------------------------------
% 8.86/2.62  % (6638)Instruction limit reached!
% 8.86/2.62  % (6638)------------------------------
% 8.86/2.62  % (6638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.62  % (6638)Termination reason: Unknown
% 8.86/2.62  % (6638)Termination phase: Saturation
% 8.86/2.62  
% 8.86/2.62  % (6638)Memory used [KB]: 1407
% 8.86/2.62  % (6638)Time elapsed: 0.100 s
% 8.86/2.62  % (6638)Instructions burned: 164 (million)
% 8.86/2.62  % (6638)------------------------------
% 8.86/2.62  % (6638)------------------------------
% 8.86/2.62  % (6641)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_6395 for (2989ds/1021Mi)
% 8.86/2.63  % (6642)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_6395 for (2988ds/267Mi)
% 8.86/2.63  % (6643)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_6395 for (2988ds/204Mi)
% 8.86/2.64  % (6644)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_6395 for (2988ds/26Mi)
% 8.86/2.65  % (6644)Instruction limit reached!
% 8.86/2.65  % (6644)------------------------------
% 8.86/2.65  % (6644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.65  % (6644)Termination reason: Unknown
% 8.86/2.65  % (6644)Termination phase: Saturation
% 8.86/2.65  
% 8.86/2.65  % (6644)Memory used [KB]: 5628
% 8.86/2.65  % (6644)Time elapsed: 0.015 s
% 8.86/2.65  % (6644)Instructions burned: 26 (million)
% 8.86/2.65  % (6644)------------------------------
% 8.86/2.65  % (6644)------------------------------
% 8.86/2.67  % (6645)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_6395 for (2988ds/53Mi)
% 8.86/2.69  % (6645)Instruction limit reached!
% 8.86/2.69  % (6645)------------------------------
% 8.86/2.69  % (6645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.69  % (6645)Termination reason: Unknown
% 8.86/2.69  % (6645)Termination phase: Saturation
% 8.86/2.69  
% 8.86/2.69  % (6645)Memory used [KB]: 6012
% 8.86/2.69  % (6645)Time elapsed: 0.028 s
% 8.86/2.69  % (6645)Instructions burned: 54 (million)
% 8.86/2.69  % (6645)------------------------------
% 8.86/2.69  % (6645)------------------------------
% 9.29/2.71  % (6646)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/4436Mi)
% 9.29/2.72  % (6643)Instruction limit reached!
% 9.29/2.72  % (6643)------------------------------
% 9.29/2.72  % (6643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.72  % (6643)Termination reason: Unknown
% 9.29/2.72  % (6643)Termination phase: Saturation
% 9.29/2.72  
% 9.29/2.72  % (6643)Memory used [KB]: 5756
% 9.29/2.72  % (6643)Time elapsed: 0.090 s
% 9.29/2.72  % (6643)Instructions burned: 205 (million)
% 9.29/2.72  % (6643)------------------------------
% 9.29/2.72  % (6643)------------------------------
% 9.29/2.74  % (6647)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/1539Mi)
% 9.29/2.75  % (6640)Instruction limit reached!
% 9.29/2.75  % (6640)------------------------------
% 9.29/2.75  % (6640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.75  % (6640)Termination reason: Unknown
% 9.29/2.75  % (6640)Termination phase: Saturation
% 9.29/2.75  
% 9.29/2.75  % (6640)Memory used [KB]: 9978
% 9.29/2.75  % (6640)Time elapsed: 0.189 s
% 9.29/2.75  % (6640)Instructions burned: 368 (million)
% 9.29/2.75  % (6640)------------------------------
% 9.29/2.75  % (6640)------------------------------
% 9.29/2.75  % (6629)Instruction limit reached!
% 9.29/2.75  % (6629)------------------------------
% 9.29/2.75  % (6629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.75  % (6629)Termination reason: Unknown
% 9.29/2.75  % (6629)Termination phase: Saturation
% 9.29/2.75  
% 9.29/2.75  % (6629)Memory used [KB]: 5884
% 9.29/2.75  % (6629)Time elapsed: 0.344 s
% 9.29/2.75  % (6629)Instructions burned: 988 (million)
% 9.29/2.75  % (6629)------------------------------
% 9.29/2.75  % (6629)------------------------------
% 9.29/2.76  % (6642)Instruction limit reached!
% 9.29/2.76  % (6642)------------------------------
% 9.29/2.76  % (6642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.76  % (6642)Termination reason: Unknown
% 9.29/2.76  % (6642)Termination phase: Saturation
% 9.29/2.76  
% 9.29/2.76  % (6642)Memory used [KB]: 6268
% 9.29/2.76  % (6642)Time elapsed: 0.138 s
% 9.29/2.76  % (6642)Instructions burned: 268 (million)
% 9.29/2.76  % (6642)------------------------------
% 9.29/2.76  % (6642)------------------------------
% 9.29/2.76  % (6648)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/408Mi)
% 9.29/2.77  % (6649)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/5205Mi)
% 9.29/2.78  % (6650)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/1913Mi)
% 9.29/2.78  % (6650)Refutation not found, incomplete strategy
% 9.29/2.78  % (6650)------------------------------
% 9.29/2.78  % (6650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.78  % (6650)Termination reason: Refutation not found, incomplete strategy
% 9.29/2.78  
% 9.29/2.78  
% 9.29/2.78  % (6650)Memory used [KB]: 1023
% 9.29/2.78  % (6650)Time elapsed: 0.004 s
% 9.29/2.78  % (6650)Instructions burned: 3 (million)
% 9.29/2.78  % (6650)------------------------------
% 9.29/2.78  % (6650)------------------------------
% 10.10/2.80  % (6651)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_6395 for (2987ds/4350Mi)
% 10.10/2.83  % (6647)Refutation not found, incomplete strategy
% 10.10/2.83  % (6647)------------------------------
% 10.10/2.83  % (6647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.10/2.83  % (6647)Termination reason: Refutation not found, incomplete strategy
% 10.10/2.83  
% 10.10/2.83  
% 10.10/2.83  % (6647)Memory used [KB]: 6012
% 10.10/2.83  % (6647)Time elapsed: 0.096 s
% 10.10/2.83  % (6647)Instructions burned: 193 (million)
% 10.10/2.83  % (6647)------------------------------
% 10.10/2.83  % (6647)------------------------------
% 10.10/2.85  % (6652)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_6395 for (2986ds/68Mi)
% 10.10/2.88  % (6652)Instruction limit reached!
% 10.10/2.88  % (6652)------------------------------
% 10.10/2.88  % (6652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.10/2.88  % (6652)Termination reason: Unknown
% 10.10/2.88  % (6652)Termination phase: Saturation
% 10.10/2.88  
% 10.10/2.88  % (6652)Memory used [KB]: 6524
% 10.10/2.88  % (6652)Time elapsed: 0.033 s
% 10.10/2.88  % (6652)Instructions burned: 68 (million)
% 10.10/2.88  % (6652)------------------------------
% 10.10/2.88  % (6652)------------------------------
% 10.27/2.90  % (6653)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_6395 for (2986ds/358Mi)
% 10.27/2.91  % (6653)Refutation not found, incomplete strategy
% 10.27/2.91  % (6653)------------------------------
% 10.27/2.91  % (6653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.91  % (6653)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.91  
% 10.27/2.91  
% 10.27/2.91  % (6653)Memory used [KB]: 5628
% 10.27/2.91  % (6653)Time elapsed: 0.013 s
% 10.27/2.91  % (6653)Instructions burned: 21 (million)
% 10.27/2.91  % (6653)------------------------------
% 10.27/2.91  % (6653)------------------------------
% 10.27/2.93  % (6654)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/31Mi)
% 10.27/2.94  % (6648)Instruction limit reached!
% 10.27/2.94  % (6648)------------------------------
% 10.27/2.94  % (6648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.95  % (6648)Termination reason: Unknown
% 10.27/2.95  % (6648)Termination phase: Saturation
% 10.27/2.95  
% 10.27/2.95  % (6648)Memory used [KB]: 10234
% 10.27/2.95  % (6648)Time elapsed: 0.183 s
% 10.27/2.95  % (6648)Instructions burned: 409 (million)
% 10.27/2.95  % (6648)------------------------------
% 10.27/2.95  % (6648)------------------------------
% 10.27/2.95  % (6654)Instruction limit reached!
% 10.27/2.95  % (6654)------------------------------
% 10.27/2.95  % (6654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.95  % (6654)Termination reason: Unknown
% 10.27/2.95  % (6654)Termination phase: Saturation
% 10.27/2.95  
% 10.27/2.95  % (6654)Memory used [KB]: 5756
% 10.27/2.95  % (6654)Time elapsed: 0.018 s
% 10.27/2.95  % (6654)Instructions burned: 31 (million)
% 10.27/2.95  % (6654)------------------------------
% 10.27/2.95  % (6654)------------------------------
% 10.27/2.95  % (6636)Instruction limit reached!
% 10.27/2.95  % (6636)------------------------------
% 10.27/2.95  % (6636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.95  % (6636)Termination reason: Unknown
% 10.27/2.95  % (6636)Termination phase: Saturation
% 10.27/2.95  
% 10.27/2.95  % (6636)Memory used [KB]: 6012
% 10.27/2.95  % (6636)Time elapsed: 0.449 s
% 10.27/2.95  % (6636)Instructions burned: 923 (million)
% 10.27/2.95  % (6636)------------------------------
% 10.27/2.95  % (6636)------------------------------
% 10.27/2.96  % (6655)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/279Mi)
% 10.27/2.96  % (6656)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/258Mi)
% 10.27/2.97  % (6657)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/26Mi)
% 10.27/2.97  % (6656)Refutation not found, incomplete strategy
% 10.27/2.97  % (6656)------------------------------
% 10.27/2.97  % (6656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.97  % (6656)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.97  
% 10.27/2.97  
% 10.27/2.97  % (6656)Memory used [KB]: 5628
% 10.27/2.97  % (6656)Time elapsed: 0.013 s
% 10.27/2.97  % (6656)Instructions burned: 19 (million)
% 10.27/2.97  % (6656)------------------------------
% 10.27/2.97  % (6656)------------------------------
% 10.27/2.98  % (6657)Instruction limit reached!
% 10.27/2.98  % (6657)------------------------------
% 10.27/2.98  % (6657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.98  % (6657)Termination reason: Unknown
% 10.27/2.98  % (6657)Termination phase: Saturation
% 10.27/2.98  
% 10.27/2.98  % (6657)Memory used [KB]: 5628
% 10.27/2.98  % (6657)Time elapsed: 0.015 s
% 10.27/2.98  % (6657)Instructions burned: 26 (million)
% 10.27/2.98  % (6657)------------------------------
% 10.27/2.98  % (6657)------------------------------
% 10.27/2.99  % (6658)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/995Mi)
% 10.27/3.00  % (6658)Refutation not found, incomplete strategy
% 10.27/3.00  % (6658)------------------------------
% 10.27/3.00  % (6658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/3.00  % (6658)Termination reason: Refutation not found, incomplete strategy
% 10.27/3.00  
% 10.27/3.00  
% 10.27/3.00  % (6658)Memory used [KB]: 5500
% 10.27/3.00  % (6658)Time elapsed: 0.006 s
% 10.27/3.00  % (6658)Instructions burned: 7 (million)
% 10.27/3.00  % (6658)------------------------------
% 10.27/3.00  % (6658)------------------------------
% 10.27/3.00  % (6659)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/373Mi)
% 10.27/3.00  % (6659)Refutation not found, incomplete strategy
% 10.27/3.00  % (6659)------------------------------
% 10.27/3.00  % (6659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/3.00  % (6659)Termination reason: Refutation not found, incomplete strategy
% 10.27/3.00  
% 10.27/3.00  
% 10.27/3.00  % (6659)Memory used [KB]: 5500
% 10.27/3.00  % (6659)Time elapsed: 0.005 s
% 10.27/3.00  % (6659)Instructions burned: 4 (million)
% 10.27/3.00  % (6659)------------------------------
% 10.27/3.00  % (6659)------------------------------
% 10.27/3.01  % (6660)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/253Mi)
% 10.27/3.02  % (6661)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_6395 for (2985ds/832Mi)
% 12.37/3.03  % (6660)Refutation not found, incomplete strategy
% 12.37/3.03  % (6660)------------------------------
% 12.37/3.03  % (6660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.37/3.03  % (6660)Termination reason: Refutation not found, incomplete strategy
% 12.37/3.03  
% 12.37/3.03  
% 12.37/3.03  % (6660)Memory used [KB]: 5756
% 12.37/3.03  % (6660)Time elapsed: 0.020 s
% 12.37/3.03  % (6660)Instructions burned: 31 (million)
% 12.37/3.03  % (6660)------------------------------
% 12.37/3.03  % (6660)------------------------------
% 12.37/3.05  % (6662)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_6395 for (2984ds/668Mi)
% 12.37/3.08  % (6641)Instruction limit reached!
% 12.37/3.08  % (6641)------------------------------
% 12.37/3.08  % (6641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.37/3.08  % (6641)Termination reason: Unknown
% 12.37/3.08  % (6641)Termination phase: Saturation
% 12.37/3.08  
% 12.37/3.08  % (6641)Memory used [KB]: 6524
% 12.37/3.08  % (6641)Time elapsed: 0.476 s
% 12.37/3.08  % (6641)Instructions burned: 1021 (million)
% 12.37/3.08  % (6641)------------------------------
% 12.37/3.08  % (6641)------------------------------
% 12.37/3.09  % (6663)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_6395 for (2984ds/40Mi)
% 12.37/3.09  % (6655)Instruction limit reached!
% 12.37/3.09  % (6655)------------------------------
% 12.37/3.09  % (6655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.37/3.09  % (6655)Termination reason: Unknown
% 12.37/3.09  % (6655)Termination phase: Saturation
% 12.37/3.09  
% 12.37/3.09  % (6655)Memory used [KB]: 6140
% 12.37/3.10  % (6655)Time elapsed: 0.134 s
% 12.37/3.10  % (6655)Instructions burned: 279 (million)
% 12.37/3.10  % (6655)------------------------------
% 12.37/3.10  % (6655)------------------------------
% 12.37/3.11  % (6664)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_6395 for (2984ds/294Mi)
% 12.37/3.11  % (6663)Instruction limit reached!
% 12.37/3.11  % (6663)------------------------------
% 12.37/3.11  % (6663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.37/3.11  % (6663)Termination reason: Unknown
% 12.37/3.11  % (6663)Termination phase: Saturation
% 12.37/3.11  
% 12.37/3.11  % (6663)Memory used [KB]: 5756
% 12.37/3.11  % (6663)Time elapsed: 0.022 s
% 12.37/3.11  % (6663)Instructions burned: 40 (million)
% 12.37/3.11  % (6663)------------------------------
% 12.37/3.11  % (6663)------------------------------
% 12.87/3.13  % (6665)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_6395 for (2983ds/187Mi)
% 13.08/3.22  % (6665)Instruction limit reached!
% 13.08/3.22  % (6665)------------------------------
% 13.08/3.22  % (6665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.08/3.22  % (6665)Termination reason: Unknown
% 13.08/3.22  % (6665)Termination phase: Saturation
% 13.08/3.22  
% 13.08/3.22  % (6665)Memory used [KB]: 6140
% 13.08/3.22  % (6665)Time elapsed: 0.087 s
% 13.08/3.22  % (6665)Instructions burned: 188 (million)
% 13.08/3.22  % (6665)------------------------------
% 13.08/3.22  % (6665)------------------------------
% 13.08/3.23  % (6666)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_6395 for (2982ds/371Mi)
% 13.08/3.24  % (6666)Refutation not found, incomplete strategy
% 13.08/3.24  % (6666)------------------------------
% 13.08/3.24  % (6666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.08/3.24  % (6666)Termination reason: Refutation not found, incomplete strategy
% 13.08/3.24  
% 13.08/3.24  
% 13.08/3.24  % (6666)Memory used [KB]: 5628
% 13.08/3.24  % (6666)Time elapsed: 0.013 s
% 13.08/3.24  % (6666)Instructions burned: 17 (million)
% 13.08/3.24  % (6666)------------------------------
% 13.08/3.24  % (6666)------------------------------
% 13.08/3.25  % (6664)Instruction limit reached!
% 13.08/3.25  % (6664)------------------------------
% 13.08/3.25  % (6664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.08/3.25  % (6664)Termination reason: Unknown
% 13.08/3.25  % (6664)Termination phase: Saturation
% 13.08/3.25  
% 13.08/3.25  % (6664)Memory used [KB]: 6780
% 13.08/3.25  % (6664)Time elapsed: 0.145 s
% 13.08/3.25  % (6664)Instructions burned: 294 (million)
% 13.08/3.25  % (6664)------------------------------
% 13.08/3.25  % (6664)------------------------------
% 13.08/3.26  % (6667)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_6395 for (2982ds/1827Mi)
% 13.08/3.27  % (6667)Refutation not found, incomplete strategy
% 13.08/3.27  % (6667)------------------------------
% 13.08/3.27  % (6667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.08/3.27  % (6667)Termination reason: Refutation not found, incomplete strategy
% 13.08/3.27  
% 13.08/3.27  
% 13.08/3.27  % (6667)Memory used [KB]: 5628
% 13.08/3.27  % (6667)Time elapsed: 0.010 s
% 13.08/3.27  % (6667)Instructions burned: 15 (million)
% 13.08/3.27  % (6667)------------------------------
% 13.08/3.27  % (6667)------------------------------
% 13.08/3.27  % (6668)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_6395 for (2982ds/70Mi)
% 13.08/3.29  % (6669)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_6395 for (2982ds/316Mi)
% 13.70/3.31  % (6668)First to succeed.
% 13.70/3.31  % (6668)Refutation found. Thanks to Tanya!
% 13.70/3.31  % SZS status Theorem for DTF2THF_6395
% 13.70/3.31  % SZS output start Proof for DTF2THF_6395
% 13.70/3.31  thf(func_def_0, type, f: $i > $i).
% 13.70/3.31  thf(func_def_1, type, g: $i > $i).
% 13.70/3.31  thf(func_def_14, type, ph0: !>[X0: $tType]:(X0)).
% 13.70/3.31  thf(func_def_17, type, sK1: ($i > $i) > $i).
% 13.70/3.31  thf(func_def_18, type, sK2: ($i > $i) > $i).
% 13.70/3.31  thf(func_def_24, type, sK4: $i > $i).
% 13.70/3.31  thf(f171,plain,(
% 13.70/3.31    $false),
% 13.70/3.31    inference(trivial_inequality_removal,[status(thm)],[f170])).
% 13.70/3.31  thf(f170,plain,(
% 13.70/3.31    ($true = $false)),
% 13.70/3.31    inference(boolean_simplification,[status(thm)],[f169])).
% 13.70/3.31  thf(f169,plain,(
% 13.70/3.31    ($true = (~ $true))),
% 13.70/3.31    inference(forward_demodulation,[status(thm)],[f166,f134])).
% 13.70/3.31  thf(f134,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (($true = ((g @ (sK4 @ X1)) = sK3))) )),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f132])).
% 13.70/3.31  thf(f132,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (($false = (((g @ (sK4 @ X1)) = sK3) => (X1 = (f @ (sK4 @ X1)))))) )),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f131])).
% 13.70/3.31  thf(f131,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: (((g @ Y0) = sK3) => (X1 = (f @ Y0)))) @ (sK4 @ X1)))) )),
% 13.70/3.31    inference(sigma_clausification,[status(thm)],[f130])).
% 13.70/3.31  thf(f130,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((g @ Y0) = sK3) => (X1 = (f @ Y0))))) = $false)) )),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f129])).
% 13.70/3.31  thf(f129,plain,(
% 13.70/3.31    ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = sK3) => (Y0 = (f @ Y1)))))) @ X1) = $false)) )),
% 13.70/3.31    inference(pi_clausification,[status(thm)],[f110])).
% 13.70/3.31  thf(f110,plain,(
% 13.70/3.31    ($false = (?? @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = sK3) => (Y0 = (f @ Y1))))))))),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f107])).
% 13.70/3.31  thf(f107,plain,(
% 13.70/3.31    ($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y0) => (Y1 = (f @ Y2)))))))) @ sK3))),
% 13.70/3.31    inference(sigma_clausification,[status(thm)],[f102])).
% 13.70/3.31  thf(f102,plain,(
% 13.70/3.31    ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y0) => (Y1 = (f @ Y2))))))))) = $false)),
% 13.70/3.31    inference(not_proxy_clausification,[status(thm)],[f57])).
% 13.70/3.31  thf(f57,plain,(
% 13.70/3.31    ((~ (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y0) => (Y1 = (f @ Y2)))))))))) = $true)),
% 13.70/3.31    inference(boolean_simplification,[status(thm)],[f56])).
% 13.70/3.31  thf(f56,plain,(
% 13.70/3.31    ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y0) => (Y1 = (f @ Y2))))))))) => $false))),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f50])).
% 13.70/3.31  thf(f50,plain,(
% 13.70/3.31    ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ $i @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (g @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (Y14)))))) @ Y9 @ Y10 @ Y11))))))) @ Y6 @ Y7 @ Y8) = ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y9)))))) @ Y6 @ Y7 @ Y8))))))) @ Y3 @ Y4 @ Y5) => ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10)))))) @ Y6 @ Y7 @ Y8) = ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (f @ ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (Y14)))))) @ Y9 @ Y10 @ Y11))))))) @ Y6 @ Y7 @ Y8))))))) @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ Y0)))) => $false))),
% 13.70/3.31    inference(superposition,[status(thm)],[f16,f22])).
% 13.70/3.31  thf(f22,plain,(
% 13.70/3.31    ($false = (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2))))))))))),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f9])).
% 13.70/3.31  thf(f9,plain,(
% 13.70/3.31    ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2)))))))))))),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f8])).
% 13.70/3.31  thf(f8,plain,(
% 13.70/3.31    ($false = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2))))))))))))),
% 13.70/3.31    inference(not_proxy_clausification,[status(thm)],[f7])).
% 13.70/3.31  thf(f7,plain,(
% 13.70/3.31    ($true = (~ ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2)))))))))))))),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f6])).
% 13.70/3.31  thf(f6,plain,(
% 13.70/3.31    ((~ ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2))))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2)))))))))))) = $true)),
% 13.70/3.31    inference(cnf_transformation,[status(thm)],[f5])).
% 13.70/3.31  thf(f5,plain,(
% 13.70/3.31    ((~ ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2))))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((g @ Y2) = Y1) => ((Y0 @ Y1) = (f @ Y2)))))))))))) = $true)),
% 13.70/3.31    inference(fool_elimination,[status(thm)],[f4])).
% 13.70/3.31  thf(f4,plain,(
% 13.70/3.31    ~(! [X0 : $i > $i > $o] : (! [X1 : $i] : ? [X2 : $i] : (X0 @ X1 @ X2) => ? [X3 : $i > $i] : ! [X4 : $i] : (X0 @ X4 @ (X3 @ X4))) => (! [X5 : $i,X6 : $i] : (((g @ X5) = (g @ X6)) => ((f @ X6) = (f @ X5))) => ? [X7 : $i > $i] : ! [X8 : $i,X9 : $i] : (((g @ X8) = X9) => ((X7 @ X9) = (f @ X8)))))),
% 13.70/3.31    inference(rectify,[status(thm)],[f2])).
% 13.70/3.31  thf(f2,negated_conjecture,(
% 13.70/3.31    ~(! [X0 : $i > $i > $o] : (! [X1 : $i] : ? [X2 : $i] : (X0 @ X1 @ X2) => ? [X3 : $i > $i] : ! [X1 : $i] : (X0 @ X1 @ (X3 @ X1))) => (! [X1 : $i,X2 : $i] : (((g @ X1) = (g @ X2)) => ((f @ X1) = (f @ X2))) => ? [X3 : $i > $i] : ! [X1 : $i,X2 : $i] : (((g @ X1) = X2) => ((f @ X1) = (X3 @ X2)))))),
% 13.70/3.31    inference(negated_conjecture,[status(cth)],[f1])).
% 13.70/3.31  thf(f1,conjecture,(
% 13.70/3.31    ! [X0 : $i > $i > $o] : (! [X1 : $i] : ? [X2 : $i] : (X0 @ X1 @ X2) => ? [X3 : $i > $i] : ! [X1 : $i] : (X0 @ X1 @ (X3 @ X1))) => (! [X1 : $i,X2 : $i] : (((g @ X1) = (g @ X2)) => ((f @ X1) = (f @ X2))) => ? [X3 : $i > $i] : ! [X1 : $i,X2 : $i] : (((g @ X1) = X2) => ((f @ X1) = (X3 @ X2))))),
% 13.70/3.31    file('/export/starexec/sandbox/tmp/tmp.ebpKGk1bS4/DTF2THF_6395.p',cTHM588LEM1)).
% 13.70/3.31  thf(f16,plain,(
% 13.70/3.31    ( ! [X1 : $i > $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (X1 @ Y0)))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (X1 @ Y1 @ (Y0 @ Y1))))))))) )),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f13])).
% 13.70/3.31  thf(f13,plain,(
% 13.70/3.31    ( ! [X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2)))))))) @ X1))) )),
% 13.70/3.31    inference(pi_clausification,[status(thm)],[f10])).
% 13.70/3.31  thf(f10,plain,(
% 13.70/3.31    ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (?? @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ (Y1 @ Y2))))))))))),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f8])).
% 13.70/3.31  thf(f166,plain,(
% 13.70/3.31    ( ! [X0 : $i] : (($true = (~ ((g @ (sK4 @ (f @ (sK4 @ X0)))) = sK3)))) )),
% 13.70/3.31    inference(superposition,[status(thm)],[f139,f144])).
% 13.70/3.31  thf(f144,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (((g @ (sK4 @ X1)) = sK3)) )),
% 13.70/3.31    inference(equality_proxy_clausification,[status(thm)],[f134])).
% 13.70/3.31  thf(f139,plain,(
% 13.70/3.31    ( ! [X0 : $i] : (($true = (~ ((g @ (sK4 @ (f @ X0))) = (g @ X0))))) )),
% 13.70/3.31    inference(boolean_simplification,[status(thm)],[f136])).
% 13.70/3.31  thf(f136,plain,(
% 13.70/3.31    ( ! [X0 : $i] : (($true = (((g @ (sK4 @ (f @ X0))) = (g @ X0)) => $false))) )),
% 13.70/3.31    inference(superposition,[status(thm)],[f46,f133])).
% 13.70/3.31  thf(f133,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (((X1 = (f @ (sK4 @ X1))) = $false)) )),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f132])).
% 13.70/3.31  thf(f46,plain,(
% 13.70/3.31    ( ! [X2 : $i,X1 : $i] : (($true = (((g @ X2) = (g @ X1)) => ((f @ X1) = (f @ X2))))) )),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f45])).
% 13.70/3.31  thf(f45,plain,(
% 13.70/3.31    ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((g @ Y0) = (g @ X1)) => ((f @ X1) = (f @ Y0)))) @ X2))) )),
% 13.70/3.31    inference(pi_clausification,[status(thm)],[f38])).
% 13.70/3.31  thf(f38,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((g @ Y0) = (g @ X1)) => ((f @ X1) = (f @ Y0))))))) )),
% 13.70/3.31    inference(beta_eta_normalization,[status(thm)],[f31])).
% 13.70/3.31  thf(f31,plain,(
% 13.70/3.31    ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1)))))) @ X1))) )),
% 13.70/3.31    inference(pi_clausification,[status(thm)],[f23])).
% 13.70/3.31  thf(f23,plain,(
% 13.70/3.31    ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((g @ Y1) = (g @ Y0)) => ((f @ Y0) = (f @ Y1))))))))),
% 13.70/3.31    inference(binary_proxy_clausification,[status(thm)],[f9])).
% 13.70/3.31  % SZS output end Proof for DTF2THF_6395
% 13.70/3.31  % (6668)------------------------------
% 13.70/3.31  % (6668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.70/3.31  % (6668)Termination reason: Refutation
% 13.70/3.31  
% 13.70/3.31  % (6668)Memory used [KB]: 1535
% 13.70/3.31  % (6668)Time elapsed: 0.037 s
% 13.70/3.31  % (6668)Instructions burned: 68 (million)
% 13.70/3.31  % (6668)------------------------------
% 13.70/3.31  % (6668)------------------------------
% 13.70/3.31  % (6550)Success in time 1.802 s
%------------------------------------------------------------------------------