TSTP Solution File: REL049+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : REL049+1 : 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.tuH11C2dJl 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 13:47:32 EDT 2023

% Result   : Theorem 1.27s 0.76s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  12 unt;   4 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (   4   ~;   0   |;   2   &;  64   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( ( join @ X0 @ X1 )
          = X1 )
        & ( ( join @ X2 @ X1 )
          = X1 ) )
     => ( ( join @ ( join @ X0 @ X2 ) @ X1 )
        = X1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i,X2: $i] :
        ( ( ( ( join @ X0 @ X1 )
            = X1 )
          & ( ( join @ X2 @ X1 )
            = X1 ) )
       => ( ( join @ ( join @ X0 @ X2 ) @ X1 )
          = X1 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl13,plain,
    ( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
   != sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(maddux1_join_commutativity,axiom,
    ! [X0: $i,X1: $i] :
      ( ( join @ X0 @ X1 )
      = ( join @ X1 @ X0 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl16,plain,
    ( ( join @ sk__1 @ ( join @ sk_ @ sk__2 ) )
   != sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(maddux2_join_associativity,axiom,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X1 @ X2 ) )
      = ( join @ ( join @ X0 @ X1 ) @ X2 ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X1 @ X2 ) )
      = ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[maddux2_join_associativity]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X2 @ X1 ) )
      = ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl14,plain,
    ( ( join @ sk__2 @ sk__1 )
    = sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ( ( join @ sk_ @ sk__1 )
    = sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl19,zip_derived_cl14,zip_derived_cl15]) ).

thf(zip_derived_cl35,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tuH11C2dJl 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 : Fri Aug 25 22:39:53 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 FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.76  % Solved by fo/fo1_av.sh.
% 1.27/0.76  % done 12 iterations in 0.015s
% 1.27/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.76  % SZS output start Refutation
% See solution above
% 1.27/0.76  
% 1.27/0.76  
% 1.27/0.76  % Terminating...
% 1.44/0.85  % Runner terminated.
% 1.73/0.86  % Zipperpin 1.5 exiting
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