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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO092^5 : 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.a6WjSuNsZj true

% Computer : n023.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 05:06:27 PM UTC 2025

% Result   : Theorem 0.56s 0.72s
% Output   : Refutation 0.56s
% 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       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   87 (   8   ~;   9   |;  11   &;  49   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-1 aty)
%                                         (   2  !!;   5  ??;   0 @@+;   0 @@-)
%            Number of variables   :   23 (   7   ^;  12   !;   4   ?;  23   :)

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

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

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

thf(cY2141,conjecture,
    ( ! [Xx: $i] :
      ? [Xy: $i] :
        ( ( cP @ Xx )
        & ( ( cQ @ Xy )
          | ( cQ @ Xx ) ) )
   => ? [Xz: $i] :
        ( ( cP @ Xz )
        & ( cQ @ Xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i] :
        ? [Xy: $i] :
          ( ( cP @ Xx )
          & ( ( cQ @ Xy )
            | ( cQ @ Xx ) ) )
     => ? [Xz: $i] :
          ( ( cP @ Xz )
          & ( cQ @ Xz ) ) ),
    inference('cnf.neg',[status(esa)],[cY2141]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] :
            ( ( cP @ Y0 )
            & ( ( cQ @ Y1 )
              | ( cQ @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] :
          ( ( cP @ X2 )
          & ( ( cQ @ Y0 )
            | ( cQ @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
      & ( ( cQ @ ( '#sk1' @ X2 ) )
        | ( cQ @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( cQ @ ( '#sk1' @ X2 ) )
      | ( cQ @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ( cQ @ ( '#sk1' @ X2 ) )
      | ( cQ @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).

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

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ~ ( ( cP @ X2 )
        & ( cQ @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ~ ( cQ @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] : ( cP @ X2 ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ~ ( cQ @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] : ( cQ @ ( '#sk1' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).

thf(zip_derived_cl10_001,plain,
    ! [X2: $i] :
      ~ ( cQ @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO092^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.a6WjSuNsZj true
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 17:49:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.56/0.64  % Total configuration time : 828
% 0.56/0.64  % Estimated wc time : 1656
% 0.56/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.72  % Solved by lams/35_full_unif4.sh.
% 0.56/0.72  % done 3 iterations in 0.006s
% 0.56/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.72  % SZS output start Refutation
% See solution above
% 0.56/0.72  
% 0.56/0.72  
% 0.56/0.72  % Terminating...
% 0.56/0.74  % Runner terminated.
% 0.56/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------