TSTP Solution File: SYN319+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r0IEaLGqr6 true

% Computer : n024.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 04:02:40 EDT 2023

% Result   : Theorem 1.23s 0.77s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   78 (   9   ~;   9   |;   4   &;  42   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   19 (   0   ^;  15   !;   4   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_g_type,type,
    big_g: $i > $o ).

thf(big_h_type,type,
    big_h: $i > $o ).

thf(big_f_type,type,
    big_f: $i > $o ).

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

thf(church_46_2_5,conjecture,
    ? [X: $i,Y: $i] :
    ! [Z1: $i,Z2: $i] :
      ( ( ( ( big_f @ Y )
         => ( big_g @ Z1 ) )
       => ( ( big_g @ X )
          & ~ ( big_f @ Z1 ) ) )
     => ( ( ( ( big_f @ X )
            | ( big_g @ X ) )
         => ( big_h @ X ) )
       => ( ( big_h @ Z2 )
          & ( ( big_h @ Y )
           => ( ( ( big_f @ Z2 )
                | ( big_g @ Z2 ) )
             => ( big_h @ Z2 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
      ! [Z1: $i,Z2: $i] :
        ( ( ( ( big_f @ Y )
           => ( big_g @ Z1 ) )
         => ( ( big_g @ X )
            & ~ ( big_f @ Z1 ) ) )
       => ( ( ( ( big_f @ X )
              | ( big_g @ X ) )
           => ( big_h @ X ) )
         => ( ( big_h @ Z2 )
            & ( ( big_h @ Y )
             => ( ( ( big_f @ Z2 )
                  | ( big_g @ Z2 ) )
               => ( big_h @ Z2 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_2_5]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( big_h @ ( sk__1 @ X0 ) )
      | ~ ( big_h @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ~ ( big_h @ ( sk__1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ( big_h @ X1 )
      | ~ ( big_f @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X1 )
      | ( big_f @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ( ( big_h @ X1 )
      | ~ ( big_g @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X1 )
      | ( big_h @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl9_001,plain,
    ! [X0: $i] :
      ~ ( big_h @ ( sk__1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl17,plain,
    ! [X1: $i] : ( big_f @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).

thf(zip_derived_cl18,plain,
    ! [X1: $i] : ( big_h @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r0IEaLGqr6 true
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 19:09:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.77  % Solved by fo/fo6_bce.sh.
% 1.23/0.77  % BCE start: 9
% 1.23/0.77  % BCE eliminated: 0
% 1.23/0.77  % PE start: 9
% 1.23/0.77  logic: neq
% 1.23/0.77  % PE eliminated: 0
% 1.23/0.77  % done 9 iterations in 0.008s
% 1.23/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/0.77  % SZS output start Refutation
% See solution above
% 1.23/0.77  
% 1.23/0.77  
% 1.23/0.77  % Terminating...
% 1.45/0.87  % Runner terminated.
% 1.45/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------