TSTP Solution File: SYN352+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN352+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.KmZLcSmGEe true

% Computer : n011.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 04:02:55 EDT 2023

% Result   : Theorem 0.22s 0.72s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  179 (   9   ~;  14   |;   2   &; 138   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 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   :   32 (   0   ^;  28   !;   4   ?;  32   :)

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

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

thf(church_46_18_4,conjecture,
    ! [X1: $i,X2: $i] :
    ? [Y1: $i,Y2: $i] :
    ! [Z: $i] :
      ( ( big_f @ X1 @ X2 )
     => ( ( ( big_f @ Y1 @ Y2 )
         => ( ( big_f @ X2 @ Z )
            | ( big_f @ Y2 @ Z ) ) )
       => ( ( ( ( big_f @ Y1 @ Y2 )
             => ( ( big_f @ X2 @ Z )
              <=> ( big_f @ Y1 @ Z ) ) )
           => ( big_f @ Z @ Z ) )
         => ( ( big_f @ Y1 @ Y2 )
            & ( ( big_f @ Y1 @ Z )
            <=> ( big_f @ Y2 @ Z ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X1: $i,X2: $i] :
      ? [Y1: $i,Y2: $i] :
      ! [Z: $i] :
        ( ( big_f @ X1 @ X2 )
       => ( ( ( big_f @ Y1 @ Y2 )
           => ( ( big_f @ X2 @ Z )
              | ( big_f @ Y2 @ Z ) ) )
         => ( ( ( ( big_f @ Y1 @ Y2 )
               => ( ( big_f @ X2 @ Z )
                <=> ( big_f @ Y1 @ Z ) ) )
             => ( big_f @ Z @ Z ) )
           => ( ( big_f @ Y1 @ Y2 )
              & ( ( big_f @ Y1 @ Z )
              <=> ( big_f @ Y2 @ Z ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_18_4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ X0 )
      | ~ ( big_f @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( big_f @ X1 @ ( sk__2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk__2 @ X0 @ X1 ) @ ( sk__2 @ X0 @ X1 ) )
      | ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( big_f @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) )
      | ( big_f @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) )
      | ( big_f @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ X0 )
      | ~ ( big_f @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( big_f @ X1 @ ( sk__2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ~ ( big_f @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk__2 @ X0 @ X1 ) @ ( sk__2 @ X0 @ X1 ) )
      | ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).

thf(zip_derived_cl33_003,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).

thf(zip_derived_cl33_004,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl33,zip_derived_cl33,zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KmZLcSmGEe true
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 18:03:10 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % Solved by fo/fo6_bce.sh.
% 0.22/0.72  % BCE start: 7
% 0.22/0.72  % BCE eliminated: 0
% 0.22/0.72  % PE start: 7
% 0.22/0.72  logic: neq
% 0.22/0.72  % PE eliminated: 0
% 0.22/0.72  % done 14 iterations in 0.012s
% 0.22/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.72  % SZS output start Refutation
% See solution above
% 0.22/0.72  
% 0.22/0.72  
% 0.22/0.72  % Terminating...
% 1.22/0.75  % Runner terminated.
% 1.22/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------