TSTP Solution File: SEV179^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV179^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QDBSdiebEb true

% Computer : n017.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 19:59:54 EDT 2023

% Result   : Theorem 0.79s 0.81s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   48 (  22 equ;   7 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  127 (  20   ~;   3   |;  14   &;  83   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   3 con; 0-2 aty)
%                                         (   0  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :   34 (  21   ^;   6   !;   7   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cD_FOR_X5309_type,type,
    cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).

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

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

thf(cD_FOR_X5309_def,axiom,
    ( cD_FOR_X5309
    = ( ^ [Xh: ( $i > $o ) > $i,Xz: $i] :
        ? [Xt: $i > $o] :
          ( ( Xz
            = ( Xh @ Xt ) )
          & ~ ( Xt @ ( Xh @ Xt ) ) ) ) ) ).

thf('0',plain,
    ( cD_FOR_X5309
    = ( ^ [Xh: ( $i > $o ) > $i,Xz: $i] :
        ? [Xt: $i > $o] :
          ( ( Xz
            = ( Xh @ Xt ) )
          & ~ ( Xt @ ( Xh @ Xt ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cD_FOR_X5309_def]) ).

thf('1',plain,
    ( cD_FOR_X5309
    = ( ^ [V_1: ( $i > $o ) > $i,V_2: $i] :
        ? [X4: $i > $o] :
          ( ( V_2
            = ( V_1 @ X4 ) )
          & ~ ( X4 @ ( V_1 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(cTHM144C_pme,conjecture,
    ! [Xh: ( $i > $o ) > $i] : ( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: ( $i > $o ) > $i] :
    ? [X6: $i > $o] :
      ( ( ( X4
          @ ^ [V_1: $i] :
            ? [X8: $i > $o] :
              ( ~ ( X8 @ ( X4 @ X8 ) )
              & ( V_1
                = ( X4 @ X8 ) ) ) )
        = ( X4 @ X6 ) )
      & ~ ( X6 @ ( X4 @ X6 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: ( $i > $o ) > $i] :
      ? [X6: $i > $o] :
        ( ( ( X4
            @ ^ [V_1: $i] :
              ? [X8: $i > $o] :
                ( ~ ( X8 @ ( X4 @ X8 ) )
                & ( V_1
                  = ( X4 @ X8 ) ) ) )
          = ( X4 @ X6 ) )
        & ~ ( X6 @ ( X4 @ X6 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o] :
      ( ( ( sk__1
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( (~) @ ( Y1 @ ( sk__1 @ Y1 ) ) )
                  & ( Y0
                    = ( sk__1 @ Y1 ) ) ) ) )
       != ( sk__1 @ X0 ) )
      | ( X0 @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i > $o] :
            ( ( (~) @ ( Y1 @ ( sk__1 @ Y1 ) ) )
            & ( Y0
              = ( sk__1 @ Y1 ) ) ) )
    @ ( sk__1
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( sk__1 @ Y1 ) ) )
              & ( Y0
                = ( sk__1 @ Y1 ) ) ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ??
    @ ^ [Y0: $i > $o] :
        ( ( (~) @ ( Y0 @ ( sk__1 @ Y0 ) ) )
        & ( ( sk__1
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i > $o] :
                    ( ( (~) @ ( Y2 @ ( sk__1 @ Y2 ) ) )
                    & ( Y1
                      = ( sk__1 @ Y2 ) ) ) ) )
          = ( sk__1 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ~ ( sk__2 @ ( sk__1 @ sk__2 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ( ( sk__1
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( Y0
                = ( sk__1 @ Y1 ) )
              & ( (~) @ ( Y1 @ ( sk__1 @ Y1 ) ) ) ) ) )
    = ( sk__1 @ sk__2 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i > $o] :
      ( ( ( sk__1
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( (~) @ ( Y1 @ ( sk__1 @ Y1 ) ) )
                  & ( Y0
                    = ( sk__1 @ Y1 ) ) ) ) )
       != ( sk__1 @ X0 ) )
      | ( X0 @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i > $o] :
      ( ( ( sk__1 @ sk__2 )
       != ( sk__1 @ X0 ) )
      | ( X0 @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ( ( sk__1 @ sk__2 )
   != ( sk__1 @ sk__2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEV179^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QDBSdiebEb true
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug 24 02:19:09 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.67  % Total configuration time : 828
% 0.23/0.67  % Estimated wc time : 1656
% 0.23/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.79/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.79/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.79/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.79/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.79/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.79/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.79/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.79/0.81  % Solved by lams/40_c_ic.sh.
% 0.79/0.81  % done 3 iterations in 0.023s
% 0.79/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.79/0.81  % SZS output start Refutation
% See solution above
% 0.79/0.81  
% 0.79/0.81  
% 0.79/0.81  % Terminating...
% 1.59/0.86  % Runner terminated.
% 1.59/0.87  % Zipperpin 1.5 exiting
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