TSTP Solution File: SYN323+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN323+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.n2odZdFkf0 true

% Computer : n001.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 04:02:42 EDT 2023

% Result   : Theorem 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   71 (  11   ~;   4   |;   0   &;  46   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  18   !;   2   ?;  20   :)

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

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

thf(church_46_4_2,conjecture,
    ? [Y: $i] :
      ( ! [X: $i] :
          ( ( ( big_f @ X @ Y )
           => ( big_f @ Y @ X ) )
         => ( big_g @ X @ Y ) )
     => ~ ! [X: $i] :
            ( ( ( big_f @ X @ Y )
             => ( big_f @ Y @ X ) )
           => ~ ( big_g @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y: $i] :
        ( ! [X: $i] :
            ( ( ( big_f @ X @ Y )
             => ( big_f @ Y @ X ) )
           => ( big_g @ X @ Y ) )
       => ~ ! [X: $i] :
              ( ( ( big_f @ X @ Y )
               => ( big_f @ Y @ X ) )
             => ~ ( big_g @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_4_2]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( big_g @ X2 @ X3 )
      | ( big_f @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X0 @ X1 )
      | ( big_f @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( big_g @ X2 @ X3 )
      | ~ ( big_f @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_f @ X1 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] : ( big_g @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_f @ X1 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl13,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n2odZdFkf0 true
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 19:12:31 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % Solved by fo/fo6_bce.sh.
% 0.21/0.73  % BCE start: 4
% 0.21/0.73  % BCE eliminated: 0
% 0.21/0.73  % PE start: 4
% 0.21/0.73  logic: neq
% 0.21/0.73  % PE eliminated: 0
% 0.21/0.73  % done 3 iterations in 0.005s
% 0.21/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% See solution above
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.73  % Terminating...
% 1.44/0.85  % Runner terminated.
% 1.44/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------