TSTP Solution File: SYO109^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO109^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MkVyR5R6Ww true

% Computer : n026.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 05:49:45 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   93 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  251 (  12   ~;  57   |;   4   &; 172   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   59 (   0   ^;  55   !;   4   ?;  59   :)

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

thf(cP_type,type,
    cP: $i > $o ).

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

thf(cM_type,type,
    cM: $i > $i > $o ).

thf(cN_type,type,
    cN: $i > $i > $o ).

thf(cTHM271,conjecture,
    ( ( ! [Xx: $i] :
          ( ? [Xy: $i] :
              ( ( cN @ Xx @ Xy )
              | ( cM @ Xx @ Xy ) )
         => ( cP @ Xx ) )
      & ! [Xw: $i] :
        ? [Xu: $i] :
          ( ( cN @ Xu @ Xw )
          | ! [Xv: $i] : ( cM @ Xu @ Xv ) )
      & ! [Xw: $i,Xz: $i] :
          ( ( ( cM @ Xw @ Xz )
            | ( cN @ Xw @ Xz ) )
         => ( ( cM @ Xz @ Xw )
            | ( cN @ Xz @ Xw )
            | ( cM @ Xz @ Xz )
            | ( cN @ Xz @ Xz ) ) ) )
   => ! [Xz: $i] : ( cP @ Xz ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i] :
            ( ? [Xy: $i] :
                ( ( cN @ Xx @ Xy )
                | ( cM @ Xx @ Xy ) )
           => ( cP @ Xx ) )
        & ! [Xw: $i] :
          ? [Xu: $i] :
            ( ( cN @ Xu @ Xw )
            | ! [Xv: $i] : ( cM @ Xu @ Xv ) )
        & ! [Xw: $i,Xz: $i] :
            ( ( ( cM @ Xw @ Xz )
              | ( cN @ Xw @ Xz ) )
           => ( ( cM @ Xz @ Xw )
              | ( cN @ Xz @ Xw )
              | ( cM @ Xz @ Xz )
              | ( cN @ Xz @ Xz ) ) ) )
     => ! [Xz: $i] : ( cP @ Xz ) ),
    inference('cnf.neg',[status(esa)],[cTHM271]) ).

thf(zip_derived_cl5,plain,
    ~ ( cP @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ( cN @ ( sk__1 @ X3 ) @ X3 )
      | ( cM @ ( sk__1 @ X3 ) @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i,X6: $i] :
      ( ( cN @ X5 @ X5 )
      | ( cM @ X5 @ X5 )
      | ( cN @ X5 @ X6 )
      | ( cM @ X5 @ X6 )
      | ~ ( cN @ X6 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( cM @ ( sk__1 @ X0 ) @ X1 )
      | ( cM @ X0 @ ( sk__1 @ X0 ) )
      | ( cN @ X0 @ ( sk__1 @ X0 ) )
      | ( cM @ X0 @ X0 )
      | ( cN @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X2: $i] :
      ( ( cP @ X0 )
      | ~ ( cM @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( cN @ X0 @ X0 )
      | ( cM @ X0 @ X0 )
      | ( cN @ X0 @ ( sk__1 @ X0 ) )
      | ( cM @ ( sk__1 @ X0 ) @ X1 )
      | ( cP @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).

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

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ( cM @ ( sk__1 @ X0 ) @ X1 )
      | ( cN @ X0 @ ( sk__1 @ X0 ) )
      | ( cM @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ~ ( cN @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( cM @ X0 @ X0 )
      | ( cM @ ( sk__1 @ X0 ) @ X1 )
      | ( cP @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X2: $i] :
      ( ( cP @ X0 )
      | ~ ( cM @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ( cM @ ( sk__1 @ X0 ) @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X5: $i,X6: $i] :
      ( ( cN @ X5 @ X5 )
      | ( cM @ X5 @ X5 )
      | ( cN @ X5 @ X6 )
      | ( cM @ X5 @ X6 )
      | ~ ( cM @ X6 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cM @ X0 @ ( sk__1 @ X1 ) )
      | ( cN @ X0 @ ( sk__1 @ X1 ) )
      | ( cM @ X0 @ X0 )
      | ( cN @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl4]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X2: $i] :
      ( ( cP @ X0 )
      | ~ ( cM @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( cN @ X1 @ X1 )
      | ( cM @ X1 @ X1 )
      | ( cN @ X1 @ ( sk__1 @ X0 ) )
      | ( cP @ X0 )
      | ( cP @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ~ ( cN @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cP @ X0 )
      | ( cN @ X1 @ ( sk__1 @ X0 ) )
      | ( cM @ X1 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl0]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 )
      | ~ ( cN @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( cM @ X1 @ X1 )
      | ( cP @ X0 )
      | ( cP @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl1_006,plain,
    ! [X0: $i,X2: $i] :
      ( ( cP @ X0 )
      | ~ ( cM @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cP @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl1]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] : ( cP @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl69,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO109^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MkVyR5R6Ww true
% 0.17/0.35  % Computer : n026.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sat Aug 26 04:59:03 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.21/0.70  % Total configuration time : 828
% 0.21/0.70  % Estimated wc time : 1656
% 0.21/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % Solved by lams/40_c.s.sh.
% 0.21/0.76  % done 17 iterations in 0.021s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.49/0.79  % Runner terminated.
% 1.49/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------