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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO154^5 : 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.zMSAEDFQuO true

% Computer : n001.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 05:06:33 PM UTC 2025

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  103 (   8   ~;   2   |;   8   &;  62   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-1 aty)
%                                         (   6  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   21 (   8   ^;  11   !;   2   ?;  21   :)

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

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

thf(cQ_type,type,
    cQ: $i > $o ).

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

thf(f_type,type,
    f: $i > $i ).

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

thf(cDEMO_TRIV1,conjecture,
    ( ( ! [Xy: $i] :
          ( ( cQ @ Xy )
         => ( cR @ ( g @ Xy ) ) )
      & ! [Xx: $i] :
          ( ( cP @ Xx )
         => ( cQ @ ( f @ Xx ) ) )
      & ( cP @ a ) )
   => ? [Xw: $i] : ( cR @ Xw ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xy: $i] :
            ( ( cQ @ Xy )
           => ( cR @ ( g @ Xy ) ) )
        & ! [Xx: $i] :
            ( ( cP @ Xx )
           => ( cQ @ ( f @ Xx ) ) )
        & ( cP @ a ) )
     => ? [Xw: $i] : ( cR @ Xw ) ),
    inference('cnf.neg',[status(esa)],[cDEMO_TRIV1]) ).

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

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

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cP @ Y0 )
       => ( cQ @ ( f @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
     => ( cQ @ ( f @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ( cQ @ ( f @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

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

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( cQ @ X2 )
     => ( cR @ ( g @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ~ ( cQ @ X2 )
      | ( cR @ ( g @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( cR @ Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ~ ( cR @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ~ ( cQ @ X2 ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ~ ( cP @ X2 ),
    inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).

thf(zip_derived_cl5,plain,
    cP @ a,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO154^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zMSAEDFQuO true
% 0.14/0.35  % Computer : n001.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 18:19:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.76  % Solved by lams/35_full_unif4.sh.
% 0.59/0.76  % done 3 iterations in 0.007s
% 0.59/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.76  % SZS output start Refutation
% See solution above
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.77  % Terminating...
% 1.72/0.86  % Runner terminated.
% 1.72/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------