%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN381^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mYYgudVSec true

% Computer : n029.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 : Fri Sep  1 04:03:07 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   29 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   72 (   5   ~;   8   |;   4   &;  49   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  20   !;   4   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i > $i ).

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

thf(sk__type,type,
    sk_: $i ).

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

thf(cX2133,conjecture,
    ( ( ! [Xx: $i] :
          ( ? [Xy: $i] : ( cQ @ Xx @ Xy )
         => ( cP @ Xx ) )
      & ! [Xv: $i] :
        ? [Xu: $i] : ( cQ @ Xu @ Xv )
      & ! [Xw: $i,Xz: $i] :
          ( ( cQ @ Xw @ Xz )
         => ( ( cQ @ Xz @ Xw )
            | ( cQ @ Xz @ Xz ) ) ) )
   => ! [Xz: $i] : ( cP @ Xz ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i] :
            ( ? [Xy: $i] : ( cQ @ Xx @ Xy )
           => ( cP @ Xx ) )
        & ! [Xv: $i] :
          ? [Xu: $i] : ( cQ @ Xu @ Xv )
        & ! [Xw: $i,Xz: $i] :
            ( ( cQ @ Xw @ Xz )
           => ( ( cQ @ Xz @ Xw )
              | ( cQ @ Xz @ Xz ) ) ) )
     => ! [Xz: $i] : ( cP @ Xz ) ),
    inference('cnf.neg',[status(esa)],[cX2133]) ).

thf(zip_derived_cl3,plain,
    ~ ( cP @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] : ( cQ @ ( sk__1 @ X2 ) @ X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ( cQ @ X3 @ X3 )
      | ( cQ @ X3 @ X4 )
      | ~ ( cQ @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( cQ @ X0 @ ( sk__1 @ X0 ) )
      | ( cQ @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ~ ( cQ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( cQ @ X0 @ X0 )
      | ( cP @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ~ ( cQ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] : ( cP @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN381^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mYYgudVSec true
% 0.18/0.35  % Computer : n029.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Sat Aug 26 21:05:25 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % Solved by lams/40_c.s.sh.
% 0.22/0.76  % done 7 iterations in 0.009s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 0.22/0.78  % Runner terminated.
% 0.22/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------