%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET640^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QrYh98bn1h 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 16:15:15 EDT 2023

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   9 unt;   2 typ;   0 def)
%            Number of atoms       :   20 (   6 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   44 (   1   ~;   0   |;   3   &;  32   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-4 aty)
%            Number of variables   :   40 (  20   ^;  20   !;   0   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cartesian_product_type,type,
    cartesian_product: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).

thf(sub_rel_type,type,
    sub_rel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(sub_rel,axiom,
    ( sub_rel
    = ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R1 @ X @ Y )
         => ( R2 @ X @ Y ) ) ) ) ).

thf('0',plain,
    ( sub_rel
    = ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R1 @ X @ Y )
         => ( R2 @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[sub_rel]) ).

thf('1',plain,
    ( sub_rel
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_2 @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(cartesian_product,axiom,
    ( cartesian_product
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
          ( ( X @ U )
          & ( Y @ V ) ) ) ) ).

thf('2',plain,
    ( cartesian_product
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
          ( ( X @ U )
          & ( Y @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cartesian_product]) ).

thf('3',plain,
    ( cartesian_product
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i,V_4: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_4 ) ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [R: $i > $i > $o,Q: $i > $i > $o] :
      ( ( sub_rel @ R @ Q )
     => ( sub_rel @ R
        @ ( cartesian_product
          @ ^ [X: $i] : $true
          @ ^ [X: $i] : $true ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o,X6: $i > $i > $o] :
      ( ! [X8: $i,X10: $i] :
          ( ( X4 @ X8 @ X10 )
         => ( X6 @ X8 @ X10 ) )
     => ! [X12: $i,X14: $i] : $true ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o,X6: $i > $i > $o] :
        ( ! [X8: $i,X10: $i] :
            ( ( X4 @ X8 @ X10 )
           => ( X6 @ X8 @ X10 ) )
       => ! [X12: $i,X14: $i] : $true ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    $false,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET640^3 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QrYh98bn1h true
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 14:19:37 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.23/0.69  % Total configuration time : 828
% 0.23/0.69  % Estimated wc time : 1656
% 0.23/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.79  % Solved by lams/40_c.s.sh.
% 0.60/0.79  % done 0 iterations in 0.010s
% 0.60/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  % Terminating...
% 0.67/0.89  % Runner terminated.
% 1.84/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------