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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG069+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxXAkMrc3A true

% 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 : Thu Oct  2 04:27:26 PM UTC 2025

% Result   : Theorem 0.59s 0.82s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   71 (  22 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  208 (  33   ~;  20   |;  10   &; 125   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  33   !;   2   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sorti1_type,type,
    sorti1: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sorti2_type,type,
    sorti2: $i > $o ).

thf(op2_type,type,
    op2: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(op1_type,type,
    op1: $i > $i > $i ).

thf(h_type,type,
    h: $i > $i ).

thf(j_type,type,
    j: $i > $i ).

thf(ax4,axiom,
    ~ ! [U: $i] :
        ( ( sorti2 @ U )
       => ? [V: $i] :
            ( ( ( op2 @ V @ V )
              = U )
            & ( sorti2 @ V ) ) ) ).

thf(zip_derived_cl4,plain,
    sorti2 @ sk__1,
    inference(cnf,[status(esa)],[ax4]) ).

thf(co1,conjecture,
    ( ( ! [U: $i] :
          ( ( sorti1 @ U )
         => ( sorti2 @ ( h @ U ) ) )
      & ! [V: $i] :
          ( ( sorti2 @ V )
         => ( sorti1 @ ( j @ V ) ) ) )
   => ~ ( ! [W: $i] :
            ( ( sorti1 @ W )
           => ! [X: $i] :
                ( ( sorti1 @ X )
               => ( ( h @ ( op1 @ W @ X ) )
                  = ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
        & ! [Y: $i] :
            ( ( sorti2 @ Y )
           => ! [Z: $i] :
                ( ( sorti2 @ Z )
               => ( ( j @ ( op2 @ Y @ Z ) )
                  = ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
        & ! [X1: $i] :
            ( ( sorti2 @ X1 )
           => ( ( h @ ( j @ X1 ) )
              = X1 ) )
        & ! [X2: $i] :
            ( ( sorti1 @ X2 )
           => ( ( j @ ( h @ X2 ) )
              = X2 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [U: $i] :
            ( ( sorti1 @ U )
           => ( sorti2 @ ( h @ U ) ) )
        & ! [V: $i] :
            ( ( sorti2 @ V )
           => ( sorti1 @ ( j @ V ) ) ) )
     => ~ ( ! [W: $i] :
              ( ( sorti1 @ W )
             => ! [X: $i] :
                  ( ( sorti1 @ X )
                 => ( ( h @ ( op1 @ W @ X ) )
                    = ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
          & ! [Y: $i] :
              ( ( sorti2 @ Y )
             => ! [Z: $i] :
                  ( ( sorti2 @ Z )
                 => ( ( j @ ( op2 @ Y @ Z ) )
                    = ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
          & ! [X1: $i] :
              ( ( sorti2 @ X1 )
             => ( ( h @ ( j @ X1 ) )
                = X1 ) )
          & ! [X2: $i] :
              ( ( sorti1 @ X2 )
             => ( ( j @ ( h @ X2 ) )
                = X2 ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl10,plain,
    ! [X6: $i] :
      ( ( ( h @ ( j @ X6 ) )
        = X6 )
      | ~ ( sorti2 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax3,axiom,
    ! [U: $i] :
      ( ( sorti1 @ U )
     => ? [V: $i] :
          ( ( ( op1 @ V @ V )
            = U )
          & ( sorti1 @ V ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( ( op1 @ ( sk_ @ X0 ) @ ( sk_ @ X0 ) )
        = X0 )
      | ~ ( sorti1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( sorti1 @ X2 )
      | ( ( h @ ( op1 @ X3 @ X2 ) )
        = ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
      | ~ ( sorti1 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ( op2 @ X0 @ X0 )
       != sk__1 )
      | ~ ( sorti2 @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ~ ( sorti1 @ X0 )
      | ~ ( sorti1 @ X0 )
      | ( ( h @ ( op1 @ X0 @ X0 ) )
       != sk__1 )
      | ~ ( sorti2 @ ( h @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ~ ( sorti2 @ ( h @ X0 ) )
      | ( ( h @ ( op1 @ X0 @ X0 ) )
       != sk__1 )
      | ~ ( sorti1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( sorti2 @ ( h @ X0 ) )
      | ~ ( sorti1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ~ ( sorti1 @ X0 )
      | ( ( h @ ( op1 @ X0 @ X0 ) )
       != sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl6]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( sorti1 @ X0 )
      | ~ ( sorti1 @ ( sk_ @ X0 ) )
      | ( ( h @ X0 )
       != sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl23]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( sorti1 @ ( sk_ @ X0 ) )
      | ~ ( sorti1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( ( h @ X0 )
       != sk__1 )
      | ~ ( sorti1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl3]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( sorti2 @ X0 )
      | ( X0 != sk__1 )
      | ~ ( sorti1 @ ( j @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl25]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ( sorti1 @ ( j @ X1 ) )
      | ~ ( sorti2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( X0 != sk__1 )
      | ~ ( sorti2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl7]) ).

thf(zip_derived_cl33,plain,
    sk__1 != sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl27]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG069+1 : TPTP v9.2.0. Released v2.7.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxXAkMrc3A true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 17:03:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.66  % Total configuration time : 435
% 0.57/0.66  % Estimated wc time : 1092
% 0.57/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.82  % Solved by fo/fo1_av.sh.
% 0.59/0.82  % done 13 iterations in 0.016s
% 0.59/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.82  % SZS output start Refutation
% See solution above
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  % Terminating...
% 1.94/0.87  % Runner terminated.
% 1.94/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------