TSTP Solution File: SEU886^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU886^5 : 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.9cgZaZLUm0 true

% Computer : n012.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 19:18:43 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   33 (  17 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   65 (  15   ~;   8   |;  10   &;  30   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;   7   !;   6   ?;  13   :)

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

thf(b_type,type,
    b: $tType ).

thf(x_type,type,
    x: b > $o ).

thf(f_type,type,
    f: b > a ).

thf(sk__type,type,
    sk_: a ).

thf(y_type,type,
    y: b > $o ).

thf(sk__1_type,type,
    sk__1: b ).

thf(cX5203_pme,conjecture,
    ! [Xx0: a] :
      ( ? [Xt: b] :
          ( ( Xx0
            = ( f @ Xt ) )
          & ( y @ Xt )
          & ( x @ Xt ) )
     => ( ? [Xt: b] :
            ( ( Xx0
              = ( f @ Xt ) )
            & ( x @ Xt ) )
        & ? [Xt: b] :
            ( ( Xx0
              = ( f @ Xt ) )
            & ( y @ Xt ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xx0: a] :
        ( ? [Xt: b] :
            ( ( Xx0
              = ( f @ Xt ) )
            & ( y @ Xt )
            & ( x @ Xt ) )
       => ( ? [Xt: b] :
              ( ( Xx0
                = ( f @ Xt ) )
              & ( x @ Xt ) )
          & ? [Xt: b] :
              ( ( Xx0
                = ( f @ Xt ) )
              & ( y @ Xt ) ) ) ),
    inference('cnf.neg',[status(esa)],[cX5203_pme]) ).

thf(zip_derived_cl1,plain,
    y @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    x @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: b,X1: b] :
      ( ~ ( x @ X0 )
      | ( sk_
       != ( f @ X0 ) )
      | ~ ( y @ X1 )
      | ( sk_
       != ( f @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: b] :
      ( ( sk_
       != ( f @ X0 ) )
      | ~ ( y @ X0 )
      | ( sk_
       != ( f @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ( sk_
    = ( f @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: b] :
      ( ( sk_
       != ( f @ X0 ) )
      | ~ ( y @ X0 )
      | ( sk_ != sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: b] :
      ( ~ ( y @ X0 )
      | ( sk_
       != ( f @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ( sk_
   != ( f @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl0_001,plain,
    ( sk_
    = ( f @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    sk_ != sk_,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU886^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9cgZaZLUm0 true
% 0.17/0.34  % Computer : n012.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Aug 23 13:58:57 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/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
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % Solved by lams/40_c.s.sh.
% 0.21/0.72  % done 4 iterations in 0.006s
% 0.21/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.72  % SZS output start Refutation
% See solution above
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.72  % Terminating...
% 0.21/0.75  % Runner terminated.
% 0.21/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------