TSTP Solution File: SYN354+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN354+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.SheOSd4c6h true

% Computer : n003.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 04:02:56 EDT 2023

% Result   : Theorem 0.96s 0.78s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   51 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  170 (  14   ~;  14   |;   4   &; 122   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  12   !;   4   ?;  16   :)

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

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

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

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

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

thf(church_46_20_1,conjecture,
    ! [X1: $i,X2: $i] :
    ? [Y1: $i,Y2: $i] :
    ! [Z: $i] :
      ( ( big_f @ X1 @ X2 )
     => ( ( big_g @ X1 @ X2 )
       => ( ( ( ( big_g @ X2 @ Z )
            <=> ( big_g @ Y2 @ Z ) )
           => ( ( big_f @ Y1 @ Y2 )
             => ( big_f @ X2 @ Y2 ) ) )
         => ( ( ( big_g @ X2 @ Z )
            <=> ( big_g @ Y1 @ Z ) )
           => ( ( big_f @ X1 @ Y1 )
              & ( big_f @ X2 @ Y1 )
              & ( big_f @ Y1 @ Y2 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X1: $i,X2: $i] :
      ? [Y1: $i,Y2: $i] :
      ! [Z: $i] :
        ( ( big_f @ X1 @ X2 )
       => ( ( big_g @ X1 @ X2 )
         => ( ( ( ( big_g @ X2 @ Z )
              <=> ( big_g @ Y2 @ Z ) )
             => ( ( big_f @ Y1 @ Y2 )
               => ( big_f @ X2 @ Y2 ) ) )
           => ( ( ( big_g @ X2 @ Z )
              <=> ( big_g @ Y1 @ Z ) )
             => ( ( big_f @ X1 @ Y1 )
                & ( big_f @ X2 @ Y1 )
                & ( big_f @ Y1 @ Y2 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_20_1]) ).

thf(zip_derived_cl4,plain,
    big_f @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ X0 )
      | ( big_f @ sk__1 @ X0 )
      | ( big_g @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ( big_g @ sk__1 @ ( sk__2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
    | ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
    | ( big_f @ sk__1 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ sk_ @ X1 )
      | ~ ( big_f @ sk__1 @ X1 )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( big_f @ sk__1 @ sk__1 )
    | ~ ( big_f @ sk_ @ sk__1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl4_001,plain,
    big_f @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ~ ( big_f @ sk__1 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ( ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
    | ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ X0 )
      | ( big_f @ sk__1 @ X0 )
      | ~ ( big_g @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( big_g @ sk__1 @ ( sk__2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ( ~ ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
    | ( big_f @ sk__1 @ sk__1 )
    | ~ ( big_f @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl13_002,plain,
    big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl8_003,plain,
    ~ ( big_f @ sk__1 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl4_004,plain,
    big_f @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl13,zip_derived_cl8,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN354+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.SheOSd4c6h true
% 0.14/0.35  % Computer : n003.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 21:33:39 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/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
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.78  % Solved by fo/fo3_bce.sh.
% 0.96/0.78  % BCE start: 7
% 0.96/0.78  % BCE eliminated: 1
% 0.96/0.78  % PE start: 6
% 0.96/0.78  logic: neq
% 0.96/0.78  % PE eliminated: 0
% 0.96/0.78  % done 9 iterations in 0.007s
% 0.96/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.96/0.78  % SZS output start Refutation
% See solution above
% 0.96/0.78  
% 0.96/0.78  
% 0.96/0.78  % Terminating...
% 1.36/0.86  % Runner terminated.
% 1.36/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------