TSTP Solution File: SEU998^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU998^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iQpPvefFar 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 : Thu Aug 31 19:19:04 EDT 2023

% Result   : Theorem 1.53s 0.82s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   93 (  92 equ;   0 cnn)
%            Maximal formula atoms :   39 (   5 avg)
%            Number of connectives :  320 (  24   ~;   0   |;  72   &; 220   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   6 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   63 (   0   ^;  53   !;  10   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__3_type,type,
    sk__3: a ).

thf(sk__4_type,type,
    sk__4: a ).

thf(sk__5_type,type,
    sk__5: a ).

thf(sk__1_type,type,
    sk__1: a > a > a ).

thf(sk__type,type,
    sk_: a > a > a ).

thf(sk__2_type,type,
    sk__2: a ).

thf(sk__6_type,type,
    sk__6: a ).

thf(c3_DIAMOND_THM_pme,conjecture,
    ! [JOIN: a > a > a,MEET: a > a > a] :
      ( ( ! [Xx: a] :
            ( ( JOIN @ Xx @ Xx )
            = Xx )
        & ! [Xx: a] :
            ( ( MEET @ Xx @ Xx )
            = Xx )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
            = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
            = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
        & ! [Xx: a,Xy: a] :
            ( ( JOIN @ Xx @ Xy )
            = ( JOIN @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a] :
            ( ( MEET @ Xx @ Xy )
            = ( MEET @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a] :
            ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
            = Xy ) )
     => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
            ( ( ( JOIN @ Xc @ Xy )
              = Xc )
            & ( ( MEET @ Xc @ Xy )
              = Xy )
            & ( ( JOIN @ Xb @ Xy )
              = Xb )
            & ( ( MEET @ Xb @ Xy )
              = Xy )
            & ( ( JOIN @ Xb @ Xc )
              = Xx )
            & ( ( MEET @ Xb @ Xc )
              = Xy )
            & ( ( JOIN @ Xa @ Xy )
              = Xa )
            & ( ( MEET @ Xa @ Xy )
              = Xy )
            & ( ( JOIN @ Xa @ Xc )
              = Xx )
            & ( ( MEET @ Xa @ Xc )
              = Xy )
            & ( ( JOIN @ Xa @ Xb )
              = Xx )
            & ( ( MEET @ Xa @ Xb )
              = Xy )
            & ( ( JOIN @ Xx @ Xc )
              = Xx )
            & ( ( MEET @ Xx @ Xc )
              = Xc )
            & ( ( JOIN @ Xx @ Xb )
              = Xx )
            & ( ( MEET @ Xx @ Xb )
              = Xb )
            & ( ( JOIN @ Xx @ Xa )
              = Xx )
            & ( ( MEET @ Xx @ Xa )
              = Xa )
            & ( ( JOIN @ Xx @ Xy )
              = Xx )
            & ( ( MEET @ Xx @ Xy )
              = Xy )
            & ( Xx != Xy )
            & ( Xc != Xy )
            & ( Xc != Xx )
            & ( Xb != Xy )
            & ( Xb != Xx )
            & ( Xb != Xc )
            & ( Xa != Xy )
            & ( Xa != Xx )
            & ( Xa != Xc )
            & ( Xa != Xb ) )
       => ~ ! [Xx: a,Xy: a,Xz: a] :
              ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
              = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [JOIN: a > a > a,MEET: a > a > a] :
        ( ( ! [Xx: a] :
              ( ( JOIN @ Xx @ Xx )
              = Xx )
          & ! [Xx: a] :
              ( ( MEET @ Xx @ Xx )
              = Xx )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
              = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
              = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
          & ! [Xx: a,Xy: a] :
              ( ( JOIN @ Xx @ Xy )
              = ( JOIN @ Xy @ Xx ) )
          & ! [Xx: a,Xy: a] :
              ( ( MEET @ Xx @ Xy )
              = ( MEET @ Xy @ Xx ) )
          & ! [Xx: a,Xy: a] :
              ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
              = Xy )
          & ! [Xx: a,Xy: a] :
              ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
              = Xy ) )
       => ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
              ( ( ( JOIN @ Xc @ Xy )
                = Xc )
              & ( ( MEET @ Xc @ Xy )
                = Xy )
              & ( ( JOIN @ Xb @ Xy )
                = Xb )
              & ( ( MEET @ Xb @ Xy )
                = Xy )
              & ( ( JOIN @ Xb @ Xc )
                = Xx )
              & ( ( MEET @ Xb @ Xc )
                = Xy )
              & ( ( JOIN @ Xa @ Xy )
                = Xa )
              & ( ( MEET @ Xa @ Xy )
                = Xy )
              & ( ( JOIN @ Xa @ Xc )
                = Xx )
              & ( ( MEET @ Xa @ Xc )
                = Xy )
              & ( ( JOIN @ Xa @ Xb )
                = Xx )
              & ( ( MEET @ Xa @ Xb )
                = Xy )
              & ( ( JOIN @ Xx @ Xc )
                = Xx )
              & ( ( MEET @ Xx @ Xc )
                = Xc )
              & ( ( JOIN @ Xx @ Xb )
                = Xx )
              & ( ( MEET @ Xx @ Xb )
                = Xb )
              & ( ( JOIN @ Xx @ Xa )
                = Xx )
              & ( ( MEET @ Xx @ Xa )
                = Xa )
              & ( ( JOIN @ Xx @ Xy )
                = Xx )
              & ( ( MEET @ Xx @ Xy )
                = Xy )
              & ( Xx != Xy )
              & ( Xc != Xy )
              & ( Xc != Xx )
              & ( Xb != Xy )
              & ( Xb != Xx )
              & ( Xb != Xc )
              & ( Xa != Xy )
              & ( Xa != Xx )
              & ( Xa != Xc )
              & ( Xa != Xb ) )
         => ~ ! [Xx: a,Xy: a,Xz: a] :
                ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
                = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[c3_DIAMOND_THM_pme]) ).

thf(zip_derived_cl2,plain,
    ( ( sk_ @ sk__5 @ sk__6 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ( ( sk__1 @ sk__4 @ sk__5 )
    = sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( sk__1 @ X0 @ ( sk_ @ X1 @ X2 ) )
      = ( sk_ @ ( sk__1 @ X0 @ X1 ) @ ( sk__1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: a] :
      ( ( sk__1 @ sk__4 @ ( sk_ @ sk__5 @ X0 ) )
      = ( sk_ @ sk__3 @ ( sk__1 @ sk__4 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl30]) ).

thf(zip_derived_cl621,plain,
    ( ( sk__1 @ sk__4 @ sk__2 )
    = ( sk_ @ sk__3 @ ( sk__1 @ sk__4 @ sk__6 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl43]) ).

thf(zip_derived_cl21,plain,
    ( ( sk_ @ sk__2 @ sk__4 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X7: a,X8: a] :
      ( ( sk__1 @ X8 @ X7 )
      = ( sk__1 @ X7 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X3: a,X4: a] :
      ( ( sk__1 @ ( sk_ @ X4 @ X3 ) @ X3 )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152,plain,
    ! [X0: a,X1: a] :
      ( ( sk__1 @ X0 @ ( sk_ @ X1 @ X0 ) )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

thf(zip_derived_cl386,plain,
    ( ( sk__1 @ sk__4 @ sk__2 )
    = sk__4 ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl152]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__1 @ sk__4 @ sk__6 )
    = sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ! [X13: a] :
      ( ( sk_ @ X13 @ X13 )
      = X13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    sk__4 = sk__3,
    inference(demod,[status(thm)],[zip_derived_cl621,zip_derived_cl386,zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl14,plain,
    sk__4 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl640,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl639,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU998^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iQpPvefFar true
% 0.13/0.34  % Computer : n003.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 : Wed Aug 23 18:47:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.53/0.82  % Solved by lams/40_c.s.sh.
% 1.53/0.82  % done 192 iterations in 0.084s
% 1.53/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.82  % SZS output start Refutation
% See solution above
% 1.53/0.82  
% 1.53/0.82  
% 1.53/0.82  % Terminating...
% 1.91/0.86  % Runner terminated.
% 1.91/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------