TSTP Solution File: SYO221^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO221^5 : 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.qU9AKmuBLw true

% Computer : n015.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 : Fri Sep  1 05:50:21 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   44 (  31 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  19   ~;  19   |;   6   &;  38   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   7   ^;  16   !;   4   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $i ).

thf(a_type,type,
    a: $i ).

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

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

thf(cBLEDSOE6,conjecture,
    ? [A: $i > $o] :
      ( ( ( cP @ a )
        & ( a != b ) )
     => ( ! [Xx: $i] :
            ( ( A @ Xx )
           => ( cP @ Xx ) )
        & ? [Xy: $i] : ( A @ Xy )
        & ~ ( A @ b ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [A: $i > $o] :
        ( ( ( cP @ a )
          & ( a != b ) )
       => ( ! [Xx: $i] :
              ( ( A @ Xx )
             => ( cP @ Xx ) )
          & ? [Xy: $i] : ( A @ Xy )
          & ~ ( A @ b ) ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE6]) ).

thf(zip_derived_cl2,plain,
    cP @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( sk_ @ X0 ) )
      | ~ ( X0 @ X1 )
      | ( X0 @ b ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i] : ( X0 = Y0 )
        @ ( sk_
          @ ^ [Y0: $i] : ( X0 = Y0 ) ) )
      | ~ ( ^ [Y0: $i] : ( X0 = Y0 )
          @ X0 )
      | ( ^ [Y0: $i] : ( X0 = Y0 )
        @ b ) ),
    inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk_ @ ( $i = X0 ) ) )
      | ( X0 != X0 )
      | ( X0 = b ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk_ @ ( $i = X0 ) ) )
      | ( X0 = b ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk_ @ ( $i = X0 ) ) )
      | ( X0 = b ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( cP @ ( sk_ @ X0 ) )
      | ~ ( X0 @ X1 )
      | ( X0 @ b ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ~ ( cP
          @ ( sk_
            @ ^ [Y0: $i] : ( X0 = Y0 ) ) )
      | ~ ( ^ [Y0: $i] : ( X0 = Y0 )
          @ X0 )
      | ( ^ [Y0: $i] : ( X0 = Y0 )
        @ b ) ),
    inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( cP @ ( sk_ @ ( $i = X0 ) ) )
      | ( X0 != X0 )
      | ( X0 = b ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ~ ( cP @ ( sk_ @ ( $i = X0 ) ) )
      | ( X0 = b ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ~ ( cP @ ( sk_ @ ( $i = X0 ) ) )
      | ( X0 = b ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ~ ( cP @ X0 )
      | ( X0 = b )
      | ( X0 = b ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl82]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( X0 = b )
      | ~ ( cP @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl126,plain,
    a = b,
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl121]) ).

thf(zip_derived_cl3,plain,
    a != b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl126,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO221^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qU9AKmuBLw true
% 0.18/0.35  % Computer : n015.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Sat Aug 26 06:21:53 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % Solved by lams/40_c.s.sh.
% 0.21/0.77  % done 15 iterations in 0.032s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.57/0.87  % Runner terminated.
% 1.57/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------