TSTP Solution File: ALG281^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG281^5 : 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.lIVM6LaK3C true

% Computer : n031.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 : Wed Aug 30 17:12:42 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  18 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (  25 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  106 (   3   ~;   0   |;   4   &;  97   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cE_type,type,
    cE: $i ).

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

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

thf(cJ_type,type,
    cJ: $i > $i ).

thf(cTHM16_pme,conjecture,
    ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
          = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
      & ! [Xx: $i] :
          ( ( cP @ cE @ Xx )
          = Xx )
      & ! [Xy: $i] :
          ( ( cP @ ( cJ @ Xy ) @ Xy )
          = cE ) )
   => ! [X: $i] :
        ( ( cP @ X @ ( cJ @ X ) )
        = cE ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
            ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
            = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
        & ! [Xx: $i] :
            ( ( cP @ cE @ Xx )
            = Xx )
        & ! [Xy: $i] :
            ( ( cP @ ( cJ @ Xy ) @ Xy )
            = cE ) )
     => ! [X: $i] :
          ( ( cP @ X @ ( cJ @ X ) )
          = cE ) ),
    inference('cnf.neg',[status(esa)],[cTHM16_pme]) ).

thf(zip_derived_cl3,plain,
    ( ( cP @ sk_ @ ( cJ @ sk_ ) )
   != cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X4: $i] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
      = ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ cE @ X0 )
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i] :
      ( ( cP @ cE @ X3 )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( X0
      = ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 @ X0 )
      = ( cP @ ( cJ @ ( cJ @ X1 ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ( cP @ X0 @ cE )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl18]) ).

thf(zip_derived_cl22_004,plain,
    ! [X0: $i] :
      ( X0
      = ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( X0
      = ( cJ @ ( cJ @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl22]) ).

thf(zip_derived_cl2_005,plain,
    ! [X4: $i] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( cP @ X0 @ ( cJ @ X0 ) )
      = cE ),
    inference('sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl2]) ).

thf(zip_derived_cl182,plain,
    cE != cE,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl102]) ).

thf(zip_derived_cl183,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl182]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG281^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lIVM6LaK3C true
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 05:40:25 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % Solved by lams/40_c.s.sh.
% 0.20/0.73  % done 34 iterations in 0.025s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.59/0.83  % Runner terminated.
% 1.59/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------