TSTP Solution File: SYN321+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN321+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.4KS3zWaVWE 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 04:02:41 EDT 2023

% Result   : Theorem 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   77 (   7   ~;   6   |;   0   &;  54   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  24   !;   6   ?;  30   :)

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

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

thf(sk__type,type,
    sk_: $i > $i ).

thf(church_46_3_2,conjecture,
    ? [X: $i,Y: $i] :
      ( ( ? [Z: $i] : ( big_f @ X @ Z )
       => ! [Z: $i] : ( big_g @ X @ Z ) )
     => ( ! [Z: $i] :
            ( ( big_g @ Z @ Z )
           => ( big_f @ Z @ Y ) )
       => ( ( big_f @ X @ Y )
        <=> ! [Z: $i] : ( big_g @ X @ Z ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
        ( ( ? [Z: $i] : ( big_f @ X @ Z )
         => ! [Z: $i] : ( big_g @ X @ Z ) )
       => ( ! [Z: $i] :
              ( ( big_g @ Z @ Z )
             => ( big_f @ Z @ Y ) )
         => ( ( big_f @ X @ Y )
          <=> ! [Z: $i] : ( big_g @ X @ Z ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_3_2]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i,X5: $i] :
      ( ( big_f @ X4 @ X5 )
      | ~ ( big_g @ X4 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( big_g @ X0 @ ( sk_ @ X0 ) )
      | ~ ( big_f @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( big_g @ X0 @ X0 )
      | ~ ( big_g @ X0 @ ( sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( big_g @ X0 @ X1 )
      | ( big_f @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X6: $i,X7: $i] :
      ( ( big_g @ X0 @ X6 )
      | ~ ( big_f @ X0 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( big_g @ X1 @ X2 )
      | ( big_g @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] : ( big_g @ X1 @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] : ( big_g @ X1 @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl10,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN321+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4KS3zWaVWE 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 20:22:09 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.48/0.65  % Total configuration time : 435
% 0.48/0.65  % Estimated wc time : 1092
% 0.48/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % Solved by fo/fo6_bce.sh.
% 0.54/0.72  % BCE start: 4
% 0.54/0.72  % BCE eliminated: 0
% 0.54/0.72  % PE start: 4
% 0.54/0.72  logic: neq
% 0.54/0.72  % PE eliminated: 0
% 0.54/0.72  % done 3 iterations in 0.005s
% 0.54/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.72  % SZS output start Refutation
% See solution above
% 0.54/0.72  
% 0.54/0.72  
% 0.54/0.72  % Terminating...
% 0.54/0.75  % Runner terminated.
% 0.54/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------