%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL609^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.paHdYMUvqh true

% Computer : n004.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 Aug 31 09:00:23 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   18 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :   18 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (   2   ~;   0   |;   0   &;  26   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (  10   ^;  20   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(individuals_type,type,
    individuals: $tType ).

thf(sk__10_type,type,
    sk__10: individuals ).

thf(mall_type,type,
    mall: ( individuals > $i > $o ) > $i > $o ).

thf(sk__8_type,type,
    sk__8: individuals > $i > $o ).

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [P: $i > $o] :
        ! [W: $i] : ( P @ W ) ) ) ).

thf('0',plain,
    ( mvalid
    = ( ^ [P: $i > $o] :
        ! [W: $i] : ( P @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('1',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(mall,axiom,
    ( mall
    = ( ^ [P: individuals > $i > $o,W: $i] :
        ! [X: individuals] : ( P @ X @ W ) ) ) ).

thf('2',plain,
    ( mall
    = ( ^ [P: individuals > $i > $o,W: $i] :
        ! [X: individuals] : ( P @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mall]) ).

thf('3',plain,
    ( mall
    = ( ^ [V_1: individuals > $i > $o,V_2: $i] :
        ! [X4: individuals] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [P: individuals > $i > $o] :
      ( ! [X: individuals] : ( mvalid @ ( P @ X ) )
     => ( mvalid
        @ ( mall
          @ ^ [X: individuals] : ( P @ X ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: individuals > $i > $o] :
      ( ! [X6: individuals,X8: $i] : ( X4 @ X6 @ X8 )
     => ! [X10: $i,X12: individuals] : ( X4 @ X12 @ X10 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: individuals > $i > $o] :
        ( ! [X6: individuals,X8: $i] : ( X4 @ X6 @ X8 )
       => ! [X10: $i,X12: individuals] : ( X4 @ X12 @ X10 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__8 @ sk__10 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: individuals,X1: $i] : ( sk__8 @ X0 @ X1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL609^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.paHdYMUvqh true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 17:26:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % Solved by lams/40_c.s.sh.
% 0.20/0.73  % done 1 iterations in 0.008s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.49/0.84  % Runner terminated.
% 1.49/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------