TSTP Solution File: SEV189^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV189^5 : 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.JPuyuGXJYs true

% Computer : n020.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 19:59:56 EDT 2023

% Result   : Theorem 1.59s 0.96s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   46 (   1 unt;   6 typ;   0 def)
%            Number of atoms       :  205 (   5 equ;   0 cnn)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  414 (  40   ~;  36   |;   6   &; 248   @)
%                                         (   0 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  105 ( 105   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   2 con; 0-2 aty)
%                                         (  31  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  115 (  80   ^;  35   !;   0   ?; 115   :)

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

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

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

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

thf(cQ_type,type,
    cQ: ( b > $o ) > $o ).

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

thf(cTHM567_pme,conjecture,
    ( ( ! [S: ( b > $o ) > $o] :
          ( ! [Xx: b > $o] :
              ( ( S @ Xx )
             => ( cP @ Xx ) )
         => ( cP
            @ ^ [Xx: b] :
              ! [S0: b > $o] :
                ( ( S @ S0 )
               => ( S0 @ Xx ) ) ) )
      & ! [S: ( b > $o ) > $o] :
          ( ! [Xx: b > $o] :
              ( ( S @ Xx )
             => ( cQ @ Xx ) )
         => ( cQ
            @ ^ [Xx: b] :
              ! [S0: b > $o] :
                ( ( S @ S0 )
               => ( S0 @ Xx ) ) ) ) )
   => ! [S: ( b > $o ) > $o] :
        ( ! [Xx: b > $o] :
            ( ( S @ Xx )
           => ( ( cP @ Xx )
              & ( cQ @ Xx ) ) )
       => ( ( cP
            @ ^ [Xx: b] :
              ! [S0: b > $o] :
                ( ( S @ S0 )
               => ( S0 @ Xx ) ) )
          & ( cQ
            @ ^ [Xx: b] :
              ! [S0: b > $o] :
                ( ( S @ S0 )
               => ( S0 @ Xx ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [S: ( b > $o ) > $o] :
            ( ! [Xx: b > $o] :
                ( ( S @ Xx )
               => ( cP @ Xx ) )
           => ( cP
              @ ^ [Xx: b] :
                ! [S0: b > $o] :
                  ( ( S @ S0 )
                 => ( S0 @ Xx ) ) ) )
        & ! [S: ( b > $o ) > $o] :
            ( ! [Xx: b > $o] :
                ( ( S @ Xx )
               => ( cQ @ Xx ) )
           => ( cQ
              @ ^ [Xx: b] :
                ! [S0: b > $o] :
                  ( ( S @ S0 )
                 => ( S0 @ Xx ) ) ) ) )
     => ! [S: ( b > $o ) > $o] :
          ( ! [Xx: b > $o] :
              ( ( S @ Xx )
             => ( ( cP @ Xx )
                & ( cQ @ Xx ) ) )
         => ( ( cP
              @ ^ [Xx: b] :
                ! [S0: b > $o] :
                  ( ( S @ S0 )
                 => ( S0 @ Xx ) ) )
            & ( cQ
              @ ^ [Xx: b] :
                ! [S0: b > $o] :
                  ( ( S @ S0 )
                 => ( S0 @ Xx ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM567_pme]) ).

thf(zip_derived_cl1,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X0 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ( X0 @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ( ( ^ [Y0: b > $o] : ( sk_ @ Y0 )
      @ ( sk__2
        @ ^ [Y0: b > $o] : ( sk_ @ Y0 ) ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl34,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl2,plain,
    ! [X1: ( b > $o ) > $o] :
      ( ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X1 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ~ ( cQ @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ~ ( cQ
        @ ( sk__1
          @ ^ [Y0: b > $o] : ( sk_ @ Y0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl2]) ).

thf(zip_derived_cl45,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ~ ( cQ @ ( sk__1 @ sk_ ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl5,plain,
    ! [X2: b > $o] :
      ( ( cP @ X2 )
      | ~ ( sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( cQ @ ( sk__1 @ sk_ ) )
    | ( cP @ ( sk__2 @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X0 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ~ ( cP @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_001,plain,
    ( ~ ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( cP
        @ ( sk__2
          @ ^ [Y0: b > $o] : ( sk_ @ Y0 ) ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( cP @ ( sk__2 @ sk_ ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( cQ @ ( sk__1 @ sk_ ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl11]) ).

thf(zip_derived_cl2_002,plain,
    ! [X1: ( b > $o ) > $o] :
      ( ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X1 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ~ ( cQ @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ~ ( cQ @ ( sk__1 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: b > $o] :
      ( ( cQ @ X2 )
      | ~ ( sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34_003,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl3,plain,
    ! [X1: ( b > $o ) > $o] :
      ( ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X1 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ( X1 @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ( ^ [Y0: b > $o] : ( sk_ @ Y0 )
      @ ( sk__1
        @ ^ [Y0: b > $o] : ( sk_ @ Y0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl3]) ).

thf(zip_derived_cl85,plain,
    ( ( sk_ @ ( sk__2 @ sk_ ) )
    | ( sk_ @ ( sk__1 @ sk_ ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl5_004,plain,
    ! [X2: b > $o] :
      ( ( cP @ X2 )
      | ~ ( sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ( ( sk_ @ ( sk__1 @ sk_ ) )
    | ( cP @ ( sk__2 @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl5]) ).

thf(zip_derived_cl131,plain,
    ( ( cQ @ ( sk__1 @ sk_ ) )
    | ( cP @ ( sk__2 @ sk_ ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl96]) ).

thf(zip_derived_cl92_005,plain,
    ~ ( cQ @ ( sk__1 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl2]) ).

thf(zip_derived_cl137,plain,
    cP @ ( sk__2 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl92]) ).

thf(zip_derived_cl3_006,plain,
    ! [X1: ( b > $o ) > $o] :
      ( ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X1 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ( X1 @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( X0 @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
      | ~ ( cP @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_008,plain,
    ( ~ ( cP
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
    | ~ ( cQ
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( X0
                    @ ^ [Y2: b] : ( Y1 @ Y2 ) )
                 => ( Y1 @ Y0 ) ) ) )
       != ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_
                    @ ^ [Y2: b] : ( Y1 @ Y2 ) )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ~ ( cP @ ( sk__2 @ X0 ) )
      | ~ ( cQ
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_ @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( X0 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) )
       != ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_ @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) )
      | ~ ( cP @ ( sk__2 @ X0 ) )
      | ~ ( cQ
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_ @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl70,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( ^ [Y0: b > $o] : ( sk_ @ Y0 )
        @ ( sk__1
          @ ^ [Y0: b > $o] : ( sk_ @ Y0 ) ) )
      | ~ ( cP @ ( sk__2 @ X0 ) )
      | ( ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( X0 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) )
       != ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_ @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).

thf(zip_derived_cl87,plain,
    ! [X0: ( b > $o ) > $o] :
      ( ( sk_ @ ( sk__1 @ sk_ ) )
      | ~ ( cP @ ( sk__2 @ X0 ) )
      | ( ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( X0 @ Y1 )
                 => ( Y1 @ Y0 ) ) ) )
       != ( ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b > $o] :
                  ( ( sk_ @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl143,plain,
    ( ( ( ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) )
     != ( ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( sk_ @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) )
    | ( sk_ @ ( sk__1 @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).

thf(zip_derived_cl147,plain,
    sk_ @ ( sk__1 @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl6_009,plain,
    ! [X2: b > $o] :
      ( ( cQ @ X2 )
      | ~ ( sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    cQ @ ( sk__1 @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl6]) ).

thf(zip_derived_cl169,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV189^5 : 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.JPuyuGXJYs true
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 03:40:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.59/0.96  % Solved by lams/40_noforms.sh.
% 1.59/0.96  % done 44 iterations in 0.173s
% 1.59/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.59/0.96  % SZS output start Refutation
% See solution above
% 1.59/0.96  
% 1.59/0.96  
% 1.59/0.96  % Terminating...
% 2.10/1.06  % Runner terminated.
% 2.10/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------