TSTP Solution File: SEV081^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV081^5 : 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.jMNg0Zm7Qd true

% Computer : n011.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 19:59:31 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   1 unt;   4 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  286 (  25   ~;  13   |;  20   &; 179   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  129 ( 129   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%                                         (  29  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   66 (  37   ^;  23   !;   6   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk60_type',type,
    '#sk60': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf('#sk73_type',type,
    '#sk73': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf('#sk37_type',type,
    '#sk37': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf('#sk88_type',type,
    '#sk88': ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(cTHM120_1_pme,conjecture,
    ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ? [X: $i > $o,Y: $i > $o] : ( R @ X @ Y )
      & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xy @ Xz )
            & ( R @ Xx @ Xy ) )
         => ( R @ Xx @ Xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
        ( ? [X: $i > $o,Y: $i > $o] : ( R @ X @ Y )
        & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
        & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
            ( ( ( R @ Xy @ Xz )
              & ( R @ Xx @ Xy ) )
           => ( R @ Xx @ Xz ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM120_1_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ( ??
            @ ^ [Y1: $i > $o] :
                ( ??
                @ ^ [Y2: $i > $o] : ( Y0 @ Y1 @ Y2 ) ) )
          & ( !!
            @ ^ [Y1: $i > $o] : ( Y0 @ Y1 @ Y1 ) )
          & ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( !!
                    @ ^ [Y3: $i > $o] :
                        ( ( ( Y0 @ Y2 @ Y3 )
                          & ( Y0 @ Y1 @ Y2 ) )
                       => ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
      ~ ( ( ??
          @ ^ [Y0: $i > $o] :
              ( ??
              @ ^ [Y1: $i > $o] : ( X2 @ Y0 @ Y1 ) ) )
        & ( !!
          @ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
        & ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( ??
          @ ^ [Y0: $i > $o] :
              ( ??
              @ ^ [Y1: $i > $o] : ( X2 @ Y0 @ Y1 ) ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o,X4: $i > $o] :
      ( ~ ( ??
          @ ^ [Y0: $i > $o] : ( X2 @ X4 @ Y0 ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o,X4: $i > $o,X6: $i > $o] :
      ( ~ ( X2 @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o,X4: $i > $o,X6: $i > $o] :
      ( ~ ( X2 @ ( '#sk37' @ X2 ) @ ( '#sk37' @ X2 ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) )
      | ~ ( X2 @ X4 @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( X0 @ ( '#sk37' @ X0 ) @ ( '#sk37' @ X0 ) )
      | ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X0 @ Y1 @ Y2 )
                        & ( X0 @ Y0 @ Y1 ) )
                     => ( X0 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( ( ( X0 @ Y0 @ Y1 )
                    & ( X0 @ ( '#sk60' @ X0 ) @ Y0 ) )
                 => ( X0 @ ( '#sk60' @ X0 ) @ Y1 ) ) ) )
      | ~ ( X0 @ ( '#sk37' @ X0 ) @ ( '#sk37' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i > $o] :
              ( ( ( X0 @ ( '#sk73' @ X0 ) @ Y0 )
                & ( X0 @ ( '#sk60' @ X0 ) @ ( '#sk73' @ X0 ) ) )
             => ( X0 @ ( '#sk60' @ X0 ) @ Y0 ) ) )
      | ~ ( X0 @ ( '#sk37' @ X0 ) @ ( '#sk37' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( ( ( X0 @ ( '#sk73' @ X0 ) @ ( '#sk88' @ X0 ) )
            & ( X0 @ ( '#sk60' @ X0 ) @ ( '#sk73' @ X0 ) ) )
         => ( X0 @ ( '#sk60' @ X0 ) @ ( '#sk88' @ X0 ) ) )
      | ~ ( X0 @ ( '#sk37' @ X0 ) @ ( '#sk37' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    ! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ~ ( X0 @ ( '#sk60' @ X0 ) @ ( '#sk88' @ X0 ) )
      | ~ ( X0 @ ( '#sk37' @ X0 ) @ ( '#sk37' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl22,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV081^5 : 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.jMNg0Zm7Qd true
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Thu Aug 24 02:33:07 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.22/0.35  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % Solved by lams/35_full_unif4.sh.
% 0.22/0.76  % done 0 iterations in 0.025s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % Terminating...
% 1.54/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------