TSTP Solution File: SYN082+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nVTkAYkesN true

% Computer : n014.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 04:01:38 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   61 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  221 (  24   ~;  27   |;   2   &; 164   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  13   !;   2   ?;  15   :)

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

thf(f_type,type,
    f: $i > $i ).

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

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

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

thf(pel60,conjecture,
    ! [X: $i] :
      ( ( big_f @ X @ ( f @ X ) )
    <=> ? [Y: $i] :
          ( ( big_f @ X @ Y )
          & ! [Z: $i] :
              ( ( big_f @ Z @ Y )
             => ( big_f @ Z @ ( f @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( big_f @ X @ ( f @ X ) )
      <=> ? [Y: $i] :
            ( ( big_f @ X @ Y )
            & ! [Z: $i] :
                ( ( big_f @ Z @ Y )
               => ( big_f @ Z @ ( f @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[pel60]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ( big_f @ ( sk__1 @ X1 ) @ X1 )
      | ~ ( big_f @ sk_ @ X1 )
      | ~ ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X1: $i] :
      ( ( big_f @ ( sk__1 @ X1 ) @ X1 )
      | ~ ( big_f @ sk_ @ X1 )
      | ~ ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( big_f @ sk_ @ sk__2 )
      | ( big_f @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( big_f @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl0_002,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_003,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( big_f @ sk_ @ sk__2 )
      | ~ ( big_f @ ( sk__1 @ X0 ) @ ( f @ sk_ ) )
      | ~ ( big_f @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ sk__2 )
    | ~ ( big_f @ ( sk__1 @ ( f @ sk_ ) ) @ ( f @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( big_f @ ( sk__1 @ ( f @ sk_ ) ) @ ( f @ sk_ ) )
    | ( big_f @ sk_ @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( big_f @ sk_ @ ( f @ sk_ ) )
    | ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ~ ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl0_004,plain,
    ( ( big_f @ sk_ @ sk__2 )
    | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    big_f @ sk_ @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ X0 @ sk__2 )
      | ( big_f @ X0 @ ( f @ sk_ ) )
      | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ( big_f @ sk_ @ ( f @ sk_ ) )
    | ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl13,plain,
    big_f @ sk_ @ ( f @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl15,plain,
    ! [X1: $i] :
      ( ( big_f @ ( sk__1 @ X1 ) @ X1 )
      | ~ ( big_f @ sk_ @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl13_005,plain,
    big_f @ sk_ @ ( f @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl2_006,plain,
    ! [X1: $i] :
      ( ~ ( big_f @ ( sk__1 @ X1 ) @ ( f @ sk_ ) )
      | ~ ( big_f @ sk_ @ X1 )
      | ~ ( big_f @ sk_ @ ( f @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_007,plain,
    big_f @ sk_ @ ( f @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X1: $i] :
      ( ~ ( big_f @ ( sk__1 @ X1 ) @ ( f @ sk_ ) )
      | ~ ( big_f @ sk_ @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).

thf(zip_derived_cl16,plain,
    ~ ( big_f @ ( sk__1 @ ( f @ sk_ ) ) @ ( f @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ~ ( big_f @ sk_ @ ( f @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl13_008,plain,
    big_f @ sk_ @ ( f @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nVTkAYkesN true
% 0.14/0.35  % Computer : n014.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 18:42:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80  % Solved by fo/fo6_bce.sh.
% 0.22/0.80  % BCE start: 4
% 0.22/0.80  % BCE eliminated: 0
% 0.22/0.80  % PE start: 4
% 0.22/0.80  logic: neq
% 0.22/0.80  % PE eliminated: 0
% 0.22/0.80  % done 12 iterations in 0.014s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.80  % Terminating...
% 0.22/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------