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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN365^5 : 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.3dYxtIKOj6 true

% Computer : n012.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 05:04:37 PM UTC 2025

% Result   : Theorem 0.29s 1.00s
% Output   : Refutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   28 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   99 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  255 (  20   ~;   8   |;  26   &; 164   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-2 aty)
%                                         (   8  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   37 (  16   ^;  17   !;   4   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i > $i ).

thf(cP_type,type,
    cP: $i > $o ).

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

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

thf('#sk1_type',type,
    '#sk1': $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

thf(cX2116,conjecture,
    ( ( ! [Xw: $i] :
          ( ( cP @ Xw )
         => ( ( cP @ ( h @ Xw ) )
            & ( cP @ ( g @ Xw ) ) ) )
      & ! [Xx: $i] :
        ? [Xy: $i] :
          ( ( cP @ Xx )
         => ( ( cP @ Xy )
            & ( cR @ Xx @ ( g @ ( h @ Xy ) ) ) ) ) )
   => ! [Xx: $i] :
        ( ( cP @ Xx )
       => ? [Xy: $i] :
            ( ( cR @ Xx @ Xy )
            & ( cP @ Xy ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xw: $i] :
            ( ( cP @ Xw )
           => ( ( cP @ ( h @ Xw ) )
              & ( cP @ ( g @ Xw ) ) ) )
        & ! [Xx: $i] :
          ? [Xy: $i] :
            ( ( cP @ Xx )
           => ( ( cP @ Xy )
              & ( cR @ Xx @ ( g @ ( h @ Xy ) ) ) ) ) )
     => ! [Xx: $i] :
          ( ( cP @ Xx )
         => ? [Xy: $i] :
              ( ( cR @ Xx @ Xy )
              & ( cP @ Xy ) ) ) ),
    inference('cnf.neg',[status(esa)],[cX2116]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( cP @ Y0 )
             => ( ( cP @ ( h @ Y0 ) )
                & ( cP @ ( g @ Y0 ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ( cP @ Y0 )
                 => ( ( cP @ Y1 )
                    & ( cR @ Y0 @ ( g @ ( h @ Y1 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( cP @ Y0 )
           => ( ??
              @ ^ [Y1: $i] :
                  ( ( cR @ Y0 @ Y1 )
                  & ( cP @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( cP @ Y0 )
         => ( ( cP @ ( h @ Y0 ) )
            & ( cP @ ( g @ Y0 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( cP @ Y0 )
             => ( ( cP @ Y1 )
                & ( cR @ Y0 @ ( g @ ( h @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] :
            ( ( cP @ Y0 )
           => ( ( cP @ Y1 )
              & ( cR @ Y0 @ ( g @ ( h @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] :
          ( ( cP @ X2 )
         => ( ( cP @ Y0 )
            & ( cR @ X2 @ ( g @ ( h @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
     => ( ( cP @ ( '#sk2' @ X2 ) )
        & ( cR @ X2 @ ( g @ ( h @ ( '#sk2' @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ( ( cP @ ( '#sk2' @ X2 ) )
        & ( cR @ X2 @ ( g @ ( h @ ( '#sk2' @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i] :
      ( ( cP @ ( '#sk2' @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( cP @ Y0 )
         => ( ??
            @ ^ [Y1: $i] :
                ( ( cR @ Y0 @ Y1 )
                & ( cP @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( cP @ '#sk1' )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( cR @ '#sk1' @ Y0 )
            & ( cP @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( cR @ '#sk1' @ Y0 )
          & ( cP @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ~ ( ( cR @ '#sk1' @ X2 )
        & ( cP @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i] :
      ( ~ ( cR @ '#sk1' @ X2 )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i] :
      ( ( cR @ X2 @ ( g @ ( h @ ( '#sk2' @ X2 ) ) ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    ( ~ ( cP @ ( g @ ( h @ ( '#sk2' @ '#sk1' ) ) ) )
    | ~ ( cP @ '#sk1' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).

thf(zip_derived_cl8,plain,
    cP @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl23,plain,
    ~ ( cP @ ( g @ ( h @ ( '#sk2' @ '#sk1' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl8]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cP @ Y0 )
       => ( ( cP @ ( h @ Y0 ) )
          & ( cP @ ( g @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
     => ( ( cP @ ( h @ X2 ) )
        & ( cP @ ( g @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ( ( cP @ ( h @ X2 ) )
        & ( cP @ ( g @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ( cP @ ( g @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl27,plain,
    ~ ( cP @ ( h @ ( '#sk2' @ '#sk1' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl14]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ( cP @ ( h @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl31,plain,
    ~ ( cP @ ( '#sk2' @ '#sk1' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl13]) ).

thf(zip_derived_cl36,plain,
    ~ ( cP @ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl31]) ).

thf(zip_derived_cl8_001,plain,
    cP @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl39,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.21  % Problem  : SYN365^5 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.23  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3dYxtIKOj6 true
% 0.10/0.44  % Computer : n012.cluster.edu
% 0.10/0.44  % Model    : x86_64 x86_64
% 0.10/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.44  % Memory   : 8042.1875MB
% 0.10/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.45  % CPULimit : 300
% 0.10/0.45  % WCLimit  : 300
% 0.10/0.45  % DateTime : Wed Oct  1 13:37:38 EDT 2025
% 0.10/0.45  % CPUTime  : 
% 0.10/0.45  % Running portfolio for 300 s
% 0.10/0.45  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45  % Number of cores: 8
% 0.10/0.45  % Python version: Python 3.6.8
% 0.10/0.45  % Running in HO mode
% 0.28/0.76  % Total configuration time : 828
% 0.28/0.76  % Estimated wc time : 1656
% 0.28/0.76  % Estimated cpu time (8 cpus) : 207.0
% 0.29/0.92  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.29/0.93  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.29/0.99  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.29/0.99  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.29/0.99  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.29/1.00  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.29/1.00  % Solved by lams/35_full_unif4.sh.
% 0.29/1.00  % done 8 iterations in 0.015s
% 0.29/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.29/1.00  % SZS output start Refutation
% See solution above
% 0.29/1.00  
% 0.29/1.00  
% 0.29/1.00  % Terminating...
% 1.62/1.19  % Runner terminated.
% 1.65/1.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------