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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO271^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.63Iw1OP7T4 true

% Computer : n019.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 05:07:09 PM UTC 2025

% Result   : Theorem 0.51s 0.77s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (  30 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  111 (  24   ~;   4   |;   0   &;  77   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  14   ^;  12   !;   2   ?;  28   :)

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

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

thf('#sk1_type',type,
    '#sk1': b ).

thf(cJ_type,type,
    cJ: ( b > $o ) > b ).

thf(sk__type,type,
    sk_: b > a ).

thf(sk__1_type,type,
    sk__1: b > a ).

thf(cX5500,conjecture,
    ( ! [P: b > $o] :
        ( ? [Xx: b] : ( P @ Xx )
       => ( P @ ( cJ @ P ) ) )
   => ! [Xf: b > a,Xg: b > a] :
        ( ( ( Xf
            @ ( cJ
              @ ^ [Xx: b] :
                  ( ( Xf @ Xx )
                 != ( Xg @ Xx ) ) ) )
          = ( Xg
            @ ( cJ
              @ ^ [Xx: b] :
                  ( ( Xf @ Xx )
                 != ( Xg @ Xx ) ) ) ) )
       => ( Xf = Xg ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [P: b > $o] :
          ( ? [Xx: b] : ( P @ Xx )
         => ( P @ ( cJ @ P ) ) )
     => ! [Xf: b > a,Xg: b > a] :
          ( ( ( Xf
              @ ( cJ
                @ ^ [Xx: b] :
                    ( ( Xf @ Xx )
                   != ( Xg @ Xx ) ) ) )
            = ( Xg
              @ ( cJ
                @ ^ [Xx: b] :
                    ( ( Xf @ Xx )
                   != ( Xg @ Xx ) ) ) ) )
         => ( Xf = Xg ) ) ),
    inference('cnf.neg',[status(esa)],[cX5500]) ).

thf(zip_derived_cl1,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk_ @ '#sk1' )
   != ( sk__1 @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: b > $o,X1: b] :
      ( ( X0 @ ( cJ @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ( sk_
      @ ( cJ
        @ ^ [Y0: b] :
            ( ( sk_ @ Y0 )
           != ( sk__1 @ Y0 ) ) ) )
    = ( sk__1
      @ ( cJ
        @ ^ [Y0: b] :
            ( ( sk_ @ Y0 )
           != ( sk__1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X2: b] :
      ( ~ ( ( ( sk_ @ X2 )
           != ( sk__1 @ X2 ) ) )
      | ( ( sk_
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) )
       != ( sk__1
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) ) ) ),
    inference('inst_choice(((^[Y0 : b]: (((sk_ @ Y0) != (sk__1 @ Y0))))))',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ! [X2: b] :
      ( ( ( sk_ @ X2 )
        = ( sk__1 @ X2 ) )
      | ( ( sk_
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) )
       != ( sk__1
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl2_001,plain,
    ( ( sk_
      @ ( cJ
        @ ^ [Y0: b] :
            ( ( sk_ @ Y0 )
           != ( sk__1 @ Y0 ) ) ) )
    = ( sk__1
      @ ( cJ
        @ ^ [Y0: b] :
            ( ( sk_ @ Y0 )
           != ( sk__1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X2: b] :
      ( ( ( sk_ @ X2 )
        = ( sk__1 @ X2 ) )
      | ( ( sk_
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) )
       != ( sk_
          @ ( cJ
            @ ^ [Y0: b] :
                ( ( sk_ @ Y0 )
               != ( sk__1 @ Y0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    ! [X2: b] :
      ( ( sk_ @ X2 )
      = ( sk__1 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    ( ( sk_ @ '#sk1' )
   != ( sk_ @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO271^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.63Iw1OP7T4 true
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 17:57:23 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.45/0.63  % Total configuration time : 828
% 0.45/0.63  % Estimated wc time : 1656
% 0.45/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.77  % Solved by lams/40_c.s.sh.
% 0.51/0.77  % done 4 iterations in 0.012s
% 0.51/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.77  % SZS output start Refutation
% See solution above
% 0.51/0.77  
% 0.51/0.77  
% 0.51/0.77  % Terminating...
% 1.62/0.83  % Runner terminated.
% 1.62/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------