TSTP Solution File: SYN413+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN413+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.roUl1wf5jQ true

% Computer : n018.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 04:03:19 EDT 2023

% Result   : Theorem 0.38s 1.64s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  11   ~;   5   |;   2   &;  48   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  15   !;   4   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i > $o ).

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

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

thf(kalish256,conjecture,
    ( ! [Z: $i] :
      ? [Y: $i] :
      ! [X: $i] :
        ( ( f @ X @ Y )
      <=> ( ( f @ X @ Z )
          & ~ ( f @ X @ X ) ) )
   => ~ ? [V: $i] :
        ! [U: $i] : ( f @ U @ V ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Z: $i] :
        ? [Y: $i] :
        ! [X: $i] :
          ( ( f @ X @ Y )
        <=> ( ( f @ X @ Z )
            & ~ ( f @ X @ X ) ) )
     => ~ ? [V: $i] :
          ! [U: $i] : ( f @ U @ V ) ),
    inference('cnf.neg',[status(esa)],[kalish256]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] : ( f @ X3 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( f @ X0 @ ( sk__1 @ X1 ) )
      | ( f @ X0 @ X0 )
      | ~ ( f @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( f @ X0 @ ( sk__1 @ sk_ ) )
      | ( f @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( f @ X2 @ X2 )
      | ~ ( f @ X2 @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ~ ( f @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    f @ ( sk__1 @ sk_ ) @ ( sk__1 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl2_001,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( f @ X2 @ X2 )
      | ~ ( f @ X2 @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.70  % Problem  : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.76  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.roUl1wf5jQ true
% 0.11/1.05  % Computer : n018.cluster.edu
% 0.11/1.05  % Model    : x86_64 x86_64
% 0.11/1.05  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.05  % Memory   : 8042.1875MB
% 0.11/1.05  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/1.05  % CPULimit : 300
% 0.11/1.05  % WCLimit  : 300
% 0.11/1.05  % DateTime : Sat Aug 26 19:57:31 EDT 2023
% 0.11/1.06  % CPUTime  : 
% 0.11/1.06  % Running portfolio for 300 s
% 0.11/1.06  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/1.07  % Number of cores: 8
% 0.11/1.08  % Python version: Python 3.6.8
% 0.11/1.09  % Running in FO mode
% 0.37/1.47  % Total configuration time : 435
% 0.37/1.47  % Estimated wc time : 1092
% 0.37/1.47  % Estimated cpu time (7 cpus) : 156.0
% 0.37/1.54  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/1.63  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.38/1.63  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.38/1.64  % Solved by fo/fo6_bce.sh.
% 0.38/1.64  % BCE start: 4
% 0.38/1.64  % BCE eliminated: 0
% 0.38/1.64  % PE start: 4
% 0.38/1.64  logic: neq
% 0.38/1.64  % PE eliminated: 0
% 0.38/1.64  % done 6 iterations in 0.008s
% 0.38/1.64  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.38/1.64  % SZS output start Refutation
% See solution above
% 0.38/1.64  
% 0.38/1.64  
% 0.38/1.64  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.39/1.65  % Terminating...
% 1.11/2.21  % Runner terminated.
% 1.11/2.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------