TSTP Solution File: ALG282^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG282^5 : 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.9kEt8p2yKe true

% Computer : n009.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 17:12:43 EDT 2023

% Result   : Theorem 0.52s 0.72s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  14 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  21 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   92 (   5   ~;   0   |;   4   &;  81   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  34   !;   2   ?;  36   :)

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

thf(sk__1_type,type,
    sk__1: a ).

thf(cE_type,type,
    cE: a ).

thf(cJ_type,type,
    cJ: a > a ).

thf(cP_type,type,
    cP: a > a > a ).

thf(sk__type,type,
    sk_: a ).

thf(cTHM21_pme,conjecture,
    ( ( ! [Xx: a,Xy: a,Xz: a] :
          ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
          = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
      & ! [Xx: a] :
          ( ( cP @ cE @ Xx )
          = Xx )
      & ! [Xy: a] :
          ( ( cP @ ( cJ @ Xy ) @ Xy )
          = cE ) )
   => ! [X: a,Y: a] :
      ? [W: a] :
        ( ( cP @ W @ X )
        = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: a,Xy: a,Xz: a] :
            ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
            = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
        & ! [Xx: a] :
            ( ( cP @ cE @ Xx )
            = Xx )
        & ! [Xy: a] :
            ( ( cP @ ( cJ @ Xy ) @ Xy )
            = cE ) )
     => ! [X: a,Y: a] :
        ? [W: a] :
          ( ( cP @ W @ X )
          = Y ) ),
    inference('cnf.neg',[status(esa)],[cTHM21_pme]) ).

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

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

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

thf(zip_derived_cl5,plain,
    ! [X0: a,X1: a] :
      ( ( 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: a] :
      ( ( cP @ cE @ X3 )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: a,X1: a] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: a] :
      ( X0
      = ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl2_002,plain,
    ! [X4: a] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
      = ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X5: a] :
      ( ( cP @ X5 @ sk_ )
     != sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ! [X0: a,X1: a] :
      ( ( cP @ X1 @ ( cP @ X0 @ sk_ ) )
     != sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl38,plain,
    ! [X0: a] :
      ( ( cP @ X0 @ cE )
     != sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl34]) ).

thf(zip_derived_cl70,plain,
    ! [X0: a] : ( X0 != sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl38]) ).

thf(zip_derived_cl80,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG282^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9kEt8p2yKe true
% 0.13/0.34  % Computer : n009.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 : Mon Aug 28 03:52:50 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.52/0.66  % Total configuration time : 828
% 0.52/0.66  % Estimated wc time : 1656
% 0.52/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.72  % Solved by lams/40_c.s.sh.
% 0.52/0.72  % done 24 iterations in 0.013s
% 0.52/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.72  % SZS output start Refutation
% See solution above
% 0.52/0.72  
% 0.52/0.72  
% 0.52/0.72  % Terminating...
% 0.52/0.75  % Runner terminated.
% 0.52/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------