TSTP Solution File: SYO308^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO308^5 : 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.ROMd8rqqwA true

% Computer : n023.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 05:50:40 EDT 2023

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   76 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  163 (  15   ~;  24   |;   0   &;  84   @)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-1 aty)
%                                         (  14  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   30 (  14   ^;  16   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cB_type,type,
    cB: $i > $o ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf('#sk1_type',type,
    '#sk1': $i > $o ).

thf(cA_type,type,
    cA: $i > $o ).

thf(cSET81_pme,conjecture,
    ! [Z1: $i > $o] :
      ( ( ! [Z4: $i] :
            ( ( Z1 @ Z4 )
           => ( cB @ Z4 ) )
        | ! [Z3: $i] :
            ( ( Z1 @ Z3 )
           => ( cA @ Z3 ) ) )
     => ! [Z5: $i] :
          ( ( Z1 @ Z5 )
         => ( ( cB @ Z5 )
            | ( cA @ Z5 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Z1: $i > $o] :
        ( ( ! [Z4: $i] :
              ( ( Z1 @ Z4 )
             => ( cB @ Z4 ) )
          | ! [Z3: $i] :
              ( ( Z1 @ Z3 )
             => ( cA @ Z3 ) ) )
       => ! [Z5: $i] :
            ( ( Z1 @ Z5 )
           => ( ( cB @ Z5 )
              | ( cA @ Z5 ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSET81_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $o] :
          ( ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( cB @ Y1 ) ) )
            | ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( cA @ Y1 ) ) ) )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 )
               => ( ( cB @ Y1 )
                  | ( cA @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1' @ Y0 )
             => ( cB @ Y0 ) ) )
        | ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1' @ Y0 )
             => ( cA @ Y0 ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ Y0 )
           => ( ( cB @ Y0 )
              | ( cA @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
         => ( ( cB @ Y0 )
            | ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( '#sk1' @ '#sk2' )
     => ( ( cB @ '#sk2' )
        | ( cA @ '#sk2' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ~ ( ( cB @ '#sk2' )
      | ( cA @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ~ ( cB @ '#sk2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl7,plain,
    '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl2,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
         => ( cB @ Y0 ) ) )
    | ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
         => ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
         => ( cB @ Y0 ) ) )
    | ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
         => ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( ( '#sk1' @ X2 )
       => ( cB @ X2 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ Y0 )
           => ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ~ ( '#sk1' @ X2 )
      | ( cB @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ Y0 )
           => ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( '#sk1' @ X4 )
       => ( cA @ X4 ) )
      | ( cB @ X2 )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( '#sk1' @ X4 )
      | ( cA @ X4 )
      | ~ ( '#sk1' @ X2 )
      | ( cB @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( cB @ X0 )
      | ~ ( '#sk1' @ X0 )
      | ( cA @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).

thf(zip_derived_cl11,plain,
    ~ ( cA @ '#sk2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( '#sk1' @ X0 )
      | ( cB @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).

thf(zip_derived_cl18,plain,
    ~ ( '#sk1' @ '#sk2' ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl16]) ).

thf(zip_derived_cl7_001,plain,
    '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO308^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ROMd8rqqwA true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 05:57:41 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.57/0.69  % Total configuration time : 828
% 0.57/0.69  % Estimated wc time : 1656
% 0.57/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76  % Solved by lams/35_full_unif4.sh.
% 0.58/0.76  % done 4 iterations in 0.010s
% 0.58/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % Terminating...
% 0.58/0.78  % Runner terminated.
% 0.58/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------