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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO244^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dOaBjy5OMX true

% Computer : n022.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 05:07:05 PM UTC 2025

% Result   : Theorem 15.69s 4.65s
% Output   : Refutation 15.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   3 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   93 (   2   ~;   0   |;   9   &;  53   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   72 (  72   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   0 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   39 (  17   ^;  10   !;  12   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(cTHM535B,conjecture,
    ( ? [Xf: ( ( a > $o ) > $o ) > a > $o] :
      ! [X: ( a > $o ) > $o] :
        ( ? [Xt: a > $o] : ( X @ Xt )
       => ( X @ ( Xf @ X ) ) )
   => ! [A: ( ( a > $o ) > $o ) > $o] :
        ( ( ! [X: ( a > $o ) > $o] :
              ( ( A @ X )
             => ? [Xu: a > $o] : ( X @ Xu ) )
          & ? [X: ( a > $o ) > $o] : ( A @ X ) )
       => ( ( ^ [Xx: a] :
              ! [Xa: ( a > $o ) > $o] :
                ( ( A @ Xa )
               => ? [Xb: a > $o] :
                    ( ( Xa @ Xb )
                    & ( Xb @ Xx ) ) ) )
          = ( ^ [Xx: a] :
              ? [Xf: ( ( a > $o ) > $o ) > a > $o] :
              ! [Xa: ( a > $o ) > $o] :
                ( ( A @ Xa )
               => ( ( Xf @ Xa @ Xx )
                  & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [Xf: ( ( a > $o ) > $o ) > a > $o] :
        ! [X: ( a > $o ) > $o] :
          ( ? [Xt: a > $o] : ( X @ Xt )
         => ( X @ ( Xf @ X ) ) )
     => ! [A: ( ( a > $o ) > $o ) > $o] :
          ( ( ! [X: ( a > $o ) > $o] :
                ( ( A @ X )
               => ? [Xu: a > $o] : ( X @ Xu ) )
            & ? [X: ( a > $o ) > $o] : ( A @ X ) )
         => ( ( ^ [Xx: a] :
                ! [Xa: ( a > $o ) > $o] :
                  ( ( A @ Xa )
                 => ? [Xb: a > $o] :
                      ( ( Xa @ Xb )
                      & ( Xb @ Xx ) ) ) )
            = ( ^ [Xx: a] :
                ? [Xf: ( ( a > $o ) > $o ) > a > $o] :
                ! [Xa: ( a > $o ) > $o] :
                  ( ( A @ Xa )
                 => ( ( Xf @ Xa @ Xx )
                    & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM535B]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ??
        @ ^ [Y0: ( ( a > $o ) > $o ) > a > $o] :
            ( !!
            @ ^ [Y1: ( a > $o ) > $o] :
                ( ( ??
                  @ ^ [Y2: a > $o] : ( Y1 @ Y2 ) )
               => ( Y1 @ ( Y0 @ Y1 ) ) ) ) )
     => ( !!
        @ ^ [Y0: ( ( a > $o ) > $o ) > $o] :
            ( ( ( !!
                @ ^ [Y1: ( a > $o ) > $o] :
                    ( ( Y0 @ Y1 )
                   => ( ??
                      @ ^ [Y2: a > $o] : ( Y1 @ Y2 ) ) ) )
              & ( ??
                @ ^ [Y1: ( a > $o ) > $o] : ( Y0 @ Y1 ) ) )
           => ( ( ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: ( a > $o ) > $o] :
                        ( ( Y0 @ Y2 )
                       => ( ??
                          @ ^ [Y3: a > $o] :
                              ( ( Y2 @ Y3 )
                              & ( Y3 @ Y1 ) ) ) ) ) )
              = ( ^ [Y1: a] :
                    ( ??
                    @ ^ [Y2: ( ( a > $o ) > $o ) > a > $o] :
                        ( !!
                        @ ^ [Y3: ( a > $o ) > $o] :
                            ( ( Y0 @ Y3 )
                           => ( ( Y2 @ Y3 @ Y1 )
                              & ( Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1205,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.22  % Problem  : SYO244^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.25  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dOaBjy5OMX true
% 0.12/0.48  % Computer : n022.cluster.edu
% 0.12/0.48  % Model    : x86_64 x86_64
% 0.12/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.48  % Memory   : 8042.1875MB
% 0.12/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.48  % CPULimit : 300
% 0.12/0.48  % WCLimit  : 300
% 0.12/0.48  % DateTime : Wed Oct  1 18:01:39 EDT 2025
% 0.16/0.48  % CPUTime  : 
% 0.16/0.48  % Running portfolio for 300 s
% 0.16/0.48  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.48  % Number of cores: 8
% 0.16/0.48  % Python version: Python 3.6.8
% 0.16/0.49  % Running in HO mode
% 0.29/0.80  % Total configuration time : 828
% 0.29/0.80  % Estimated wc time : 1656
% 0.29/0.80  % Estimated cpu time (8 cpus) : 207.0
% 0.30/0.90  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.09/1.10  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.09/1.12  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.09/1.12  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.09/1.13  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/1.15  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/1.16  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.22/1.18  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 15.69/4.65  % Solved by lams/15_e_short1.sh.
% 15.69/4.65  % done 34 iterations in 3.441s
% 15.69/4.65  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.69/4.65  % SZS output start Refutation
% See solution above
% 15.69/4.65  
% 15.69/4.65  
% 15.69/4.65  % Terminating...
% 15.85/4.78  % Runner terminated.
% 15.85/4.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------