TSTP Solution File: SEU972^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU972^5 : 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.2pX9ljnUBt true

% Computer : n001.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 19:19:00 EDT 2023

% Result   : Theorem 64.04s 8.94s
% Output   : Refutation 64.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   27 (  26 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  167 (   8   ~;   4   |;  20   &; 119   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  30   !;   2   ?;  32   :)

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

thf(cZ_type,type,
    cZ: a ).

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

thf(sk__1_type,type,
    sk__1: ( a > $o ) > a ).

thf(sk__type,type,
    sk_: a ).

thf(cL_type,type,
    cL: a > a ).

thf(sk__2_type,type,
    sk__2: ( a > $o ) > a ).

thf(cR_type,type,
    cR: a > a ).

thf(cPU_LEM2E_pme,conjecture,
    ( ( ( ( cL @ cZ )
        = cZ )
      & ( ( cR @ cZ )
        = cZ )
      & ! [Xx: a,Xy: a] :
          ( ( cL @ ( cP @ Xx @ Xy ) )
          = Xx )
      & ! [Xx: a,Xy: a] :
          ( ( cR @ ( cP @ Xx @ Xy ) )
          = Xy )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
      & ! [X: a > $o] :
          ( ! [Xt: a,Xu: a] :
              ( ( X @ ( cP @ Xt @ Xu ) )
             => ( ( ( Xt = cZ )
                <=> ( Xu = cZ ) )
                & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) )
         => ! [Xt: a,Xu: a] :
              ( ( X @ ( cP @ Xt @ Xu ) )
             => ( Xt = Xu ) ) ) )
   => ! [Xt: a] :
      ? [X: a > $o] :
        ( ! [Xt0: a,Xu: a] :
            ( ( X @ ( cP @ Xt0 @ Xu ) )
           => ( ( ( Xu = cZ )
               => ( Xt0 = cZ ) )
              & ( X @ ( cP @ ( cL @ Xt0 ) @ ( cL @ Xu ) ) )
              & ( X @ ( cP @ ( cR @ Xt0 ) @ ( cR @ Xu ) ) ) ) )
        & ( X @ ( cP @ cZ @ Xt ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( cL @ cZ )
          = cZ )
        & ( ( cR @ cZ )
          = cZ )
        & ! [Xx: a,Xy: a] :
            ( ( cL @ ( cP @ Xx @ Xy ) )
            = Xx )
        & ! [Xx: a,Xy: a] :
            ( ( cR @ ( cP @ Xx @ Xy ) )
            = Xy )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
        & ! [X: a > $o] :
            ( ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( ( ( Xt = cZ )
                  <=> ( Xu = cZ ) )
                  & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
                  & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) )
           => ! [Xt: a,Xu: a] :
                ( ( X @ ( cP @ Xt @ Xu ) )
               => ( Xt = Xu ) ) ) )
     => ! [Xt: a] :
        ? [X: a > $o] :
          ( ! [Xt0: a,Xu: a] :
              ( ( X @ ( cP @ Xt0 @ Xu ) )
             => ( ( ( Xu = cZ )
                 => ( Xt0 = cZ ) )
                & ( X @ ( cP @ ( cL @ Xt0 ) @ ( cL @ Xu ) ) )
                & ( X @ ( cP @ ( cR @ Xt0 ) @ ( cR @ Xu ) ) ) ) )
          & ( X @ ( cP @ cZ @ Xt ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPU_LEM2E_pme]) ).

thf(zip_derived_cl0,plain,
    ( ( cL @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( cR @ cZ )
    = cZ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X9: a > $o] :
      ( ~ ( X9 @ ( cP @ ( cR @ ( sk__1 @ X9 ) ) @ ( cR @ ( sk__2 @ X9 ) ) ) )
      | ~ ( X9 @ ( cP @ ( cL @ ( sk__1 @ X9 ) ) @ ( cL @ ( sk__2 @ X9 ) ) ) )
      | ( ( sk__1 @ X9 )
       != cZ )
      | ~ ( X9 @ ( cP @ cZ @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: a,X1: a] :
      ( ( cL @ ( cP @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X9: a > $o] :
      ( ( X9 @ ( cP @ ( sk__1 @ X9 ) @ ( sk__2 @ X9 ) ) )
      | ~ ( X9 @ ( cP @ cZ @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15304,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl10,zip_derived_cl2,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU972^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2pX9ljnUBt true
% 0.15/0.36  % Computer : n001.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 : Wed Aug 23 16:20:39 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.85  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.85  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 64.04/8.94  % Solved by lams/40_c_ic.sh.
% 64.04/8.94  % done 1065 iterations in 8.130s
% 64.04/8.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.04/8.94  % SZS output start Refutation
% See solution above
% 64.04/8.94  
% 64.04/8.94  
% 64.04/8.94  % Terminating...
% 64.58/9.02  % Runner terminated.
% 64.58/9.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------