TSTP Solution File: GRP001^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP001^5 : 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.f4CWfLswGI true

% Computer : n020.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 01:49:24 EDT 2023

% Result   : Theorem 1.36s 0.76s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  16 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (  25 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  113 (   3   ~;   0   |;   6   &; 102   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   40 (   0   ^;  40   !;   0   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

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

thf(e_type,type,
    e: $i ).

thf(cGRP_COMM2,conjecture,
    ( ( ! [Xx: $i] :
          ( ( cP @ e @ Xx )
          = Xx )
      & ! [Xy: $i] :
          ( ( cP @ Xy @ e )
          = Xy )
      & ! [Xz: $i] :
          ( ( cP @ Xz @ Xz )
          = e )
      & ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
          = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) ) )
   => ! [Xa: $i,Xb: $i] :
        ( ( cP @ Xa @ Xb )
        = ( cP @ Xb @ Xa ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i] :
            ( ( cP @ e @ Xx )
            = Xx )
        & ! [Xy: $i] :
            ( ( cP @ Xy @ e )
            = Xy )
        & ! [Xz: $i] :
            ( ( cP @ Xz @ Xz )
            = e )
        & ! [Xx: $i,Xy: $i,Xz: $i] :
            ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
            = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) ) )
     => ! [Xa: $i,Xb: $i] :
          ( ( cP @ Xa @ Xb )
          = ( cP @ Xb @ Xa ) ) ),
    inference('cnf.neg',[status(esa)],[cGRP_COMM2]) ).

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

thf(zip_derived_cl3,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( cP @ ( cP @ X3 @ X4 ) @ X5 )
      = ( cP @ X3 @ ( cP @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ( ( cP @ X2 @ X2 )
      = e ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 @ ( cP @ X0 @ ( cP @ X1 @ X0 ) ) )
      = e ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl2_001,plain,
    ! [X2: $i] :
      ( ( cP @ X2 @ X2 )
      = e ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_002,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( cP @ ( cP @ X3 @ X4 ) @ X5 )
      = ( cP @ X3 @ ( cP @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ e @ X0 )
      = ( cP @ X1 @ ( cP @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( cP @ e @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( cP @ X1 @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 @ ( cP @ X1 @ X0 ) )
      = ( cP @ X1 @ e ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl21]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i] :
      ( ( cP @ X1 @ e )
      = X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 @ ( cP @ X1 @ X0 ) )
      = X1 ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).

thf(zip_derived_cl21_003,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( cP @ X1 @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X0 @ X1 )
      = ( cP @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl21]) ).

thf(zip_derived_cl187,plain,
    ( ( cP @ sk_ @ sk__1 )
   != ( cP @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl107]) ).

thf(zip_derived_cl188,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl187]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f4CWfLswGI true
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 01:10:44 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.22/0.60  % Total configuration time : 828
% 0.22/0.60  % Estimated wc time : 1656
% 0.22/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.78/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.76  % Solved by lams/40_c.s.sh.
% 1.36/0.76  % done 51 iterations in 0.049s
% 1.36/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.76  % SZS output start Refutation
% See solution above
% 1.36/0.76  
% 1.36/0.76  
% 1.36/0.76  % Terminating...
% 1.57/0.80  % Runner terminated.
% 1.57/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------