%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I3pEqnwbhm true

% Computer : n011.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 13:46:59 EDT 2023

% Result   : Theorem 1.03s 0.73s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  11 unt;   4 typ;   0 def)
%            Number of atoms       :   31 (  30 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  121 (   7   ~;   6   |;   2   &; 102   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(join_type,type,
    join: $i > $i > $i ).

thf(converse_type,type,
    converse: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
          = ( converse @ X1 ) )
       => ( ( join @ X0 @ X1 )
          = X1 ) )
      & ( ( ( join @ X0 @ X1 )
          = X1 )
       => ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
          = ( converse @ X1 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i] :
        ( ( ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
            = ( converse @ X1 ) )
         => ( ( join @ X0 @ X1 )
            = X1 ) )
        & ( ( ( join @ X0 @ X1 )
            = X1 )
         => ( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
            = ( converse @ X1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl13,plain,
    ( ( ( join @ sk_ @ sk__1 )
     != sk__1 )
    | ( ( join @ ( converse @ sk_ ) @ ( converse @ sk__1 ) )
     != ( converse @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(converse_additivity,axiom,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( join @ X0 @ X1 ) )
      = ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( join @ X0 @ X1 ) )
      = ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
    inference(cnf,[status(esa)],[converse_additivity]) ).

thf(zip_derived_cl19,plain,
    ( ( ( join @ sk_ @ sk__1 )
     != sk__1 )
    | ( ( converse @ ( join @ sk_ @ sk__1 ) )
     != ( converse @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ( ( ( join @ ( converse @ sk_ ) @ ( converse @ sk__1 ) )
      = ( converse @ sk__1 ) )
    | ( ( join @ sk_ @ sk__1 )
      = sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(converse_idempotence,axiom,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[converse_idempotence]) ).

thf(zip_derived_cl8_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( join @ X0 @ X1 ) )
      = ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
    inference(cnf,[status(esa)],[converse_additivity]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( join @ X1 @ ( converse @ X0 ) ) )
      = ( join @ ( converse @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).

thf(zip_derived_cl71,plain,
    ( ( ( join @ sk_ @ sk__1 )
      = sk__1 )
    | ( ( converse @ ( converse @ sk__1 ) )
      = ( join @ ( converse @ ( converse @ sk_ ) ) @ sk__1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).

thf(zip_derived_cl7_002,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[converse_idempotence]) ).

thf(zip_derived_cl7_003,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[converse_idempotence]) ).

thf(zip_derived_cl76,plain,
    ( ( ( join @ sk_ @ sk__1 )
      = sk__1 )
    | ( sk__1
      = ( join @ sk_ @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl77,plain,
    ( ( join @ sk_ @ sk__1 )
    = sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl77_004,plain,
    ( ( join @ sk_ @ sk__1 )
    = sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl81,plain,
    ( ( sk__1 != sk__1 )
    | ( ( converse @ sk__1 )
     != ( converse @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl77,zip_derived_cl77]) ).

thf(zip_derived_cl82,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : REL003+1 : TPTP v8.1.2. 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.I3pEqnwbhm true
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 21:32:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.73  % Solved by fo/fo6_bce.sh.
% 1.03/0.73  % BCE start: 17
% 1.03/0.73  % BCE eliminated: 0
% 1.03/0.73  % PE start: 17
% 1.03/0.73  logic: eq
% 1.03/0.73  % PE eliminated: 0
% 1.03/0.73  % done 16 iterations in 0.018s
% 1.03/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.03/0.73  % SZS output start Refutation
% See solution above
% 1.03/0.73  
% 1.03/0.73  
% 1.03/0.74  % Terminating...
% 1.35/0.85  % Runner terminated.
% 1.35/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------