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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM824^5 : 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.3hZPMm5LCw true

% Computer : n011.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 04:48:26 PM UTC 2025

% Result   : Theorem 15.96s 4.23s
% Output   : Refutation 15.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   8 avg)
%            Number of connectives :  114 (   2   ~;   3   |;  15   &;  62   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-1 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   24 (   8   ^;  16   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c0_type,type,
    c0: $i ).

thf(cN_type,type,
    cN: $i > $o ).

thf(cEVEN_type,type,
    cEVEN: $i > $o ).

thf(cS_type,type,
    cS: $i > $i ).

thf(cODD_type,type,
    cODD: $i > $o ).

thf(cTHM623_pme,conjecture,
    ( ( ! [Xn: $i] :
          ( ( cN @ Xn )
         => ( cN @ ( cS @ Xn ) ) )
      & ( cN @ c0 )
      & ! [Xp: $i > $o,Xq: $i > $o] :
          ( ( ! [Xv: $i] :
                ( ( Xq @ Xv )
               => ( Xp @ ( cS @ Xv ) ) )
            & ! [Xu: $i] :
                ( ( Xp @ Xu )
               => ( Xq @ ( cS @ Xu ) ) )
            & ( Xp @ c0 ) )
         => ( ! [Xx: $i] :
                ( ( cODD @ Xx )
               => ( Xq @ Xx ) )
            & ! [Xx: $i] :
                ( ( cEVEN @ Xx )
               => ( Xp @ Xx ) ) ) ) )
   => ! [Xm: $i] :
        ( ( ( cODD @ Xm )
          | ( cEVEN @ Xm ) )
       => ( cN @ Xm ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xn: $i] :
            ( ( cN @ Xn )
           => ( cN @ ( cS @ Xn ) ) )
        & ( cN @ c0 )
        & ! [Xp: $i > $o,Xq: $i > $o] :
            ( ( ! [Xv: $i] :
                  ( ( Xq @ Xv )
                 => ( Xp @ ( cS @ Xv ) ) )
              & ! [Xu: $i] :
                  ( ( Xp @ Xu )
                 => ( Xq @ ( cS @ Xu ) ) )
              & ( Xp @ c0 ) )
           => ( ! [Xx: $i] :
                  ( ( cODD @ Xx )
                 => ( Xq @ Xx ) )
              & ! [Xx: $i] :
                  ( ( cEVEN @ Xx )
                 => ( Xp @ Xx ) ) ) ) )
     => ! [Xm: $i] :
          ( ( ( cODD @ Xm )
            | ( cEVEN @ Xm ) )
         => ( cN @ Xm ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM623_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( cN @ Y0 )
             => ( cN @ ( cS @ Y0 ) ) ) )
        & ( cN @ c0 )
        & ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( Y1 @ Y2 )
                         => ( Y0 @ ( cS @ Y2 ) ) ) )
                    & ( !!
                      @ ^ [Y2: $i] :
                          ( ( Y0 @ Y2 )
                         => ( Y1 @ ( cS @ Y2 ) ) ) )
                    & ( Y0 @ c0 ) )
                 => ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( cODD @ Y2 )
                         => ( Y1 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: $i] :
                          ( ( cEVEN @ Y2 )
                         => ( Y0 @ Y2 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( ( cODD @ Y0 )
              | ( cEVEN @ Y0 ) )
           => ( cN @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3803,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : NUM824^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3hZPMm5LCw true
% 0.13/0.36  % Computer : n011.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 16:46:38 EDT 2025
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Running portfolio for 300 s
% 0.13/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % Number of cores: 8
% 0.13/0.37  % Python version: Python 3.6.8
% 0.13/0.37  % Running in HO mode
% 0.46/0.65  % Total configuration time : 828
% 0.46/0.65  % Estimated wc time : 1656
% 0.46/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.85  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.87  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.88  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.89  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.90  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 15.96/4.23  % Solved by lams/15_e_short1.sh.
% 15.96/4.23  % done 176 iterations in 3.255s
% 15.96/4.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.96/4.23  % SZS output start Refutation
% See solution above
% 15.96/4.23  
% 15.96/4.23  
% 15.96/4.23  % Terminating...
% 16.56/4.43  % Runner terminated.
% 16.56/4.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------