TSTP Solution File: SYN361^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN361^5 : 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.wXnRFQi3Rd 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 04:02:59 EDT 2023

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   78 (   0 equ;   7 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  182 (  19   ~;   3   |;   8   &; 112   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   5 con; 0-2 aty)
%                                         (  14  !!;  10  ??;   0 @@+;   0 @@-)
%            Number of variables   :   50 (  24   ^;  20   !;   6   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i > $i ).

thf(cS_type,type,
    cS: $i > $o ).

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

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

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

thf(cX2112,conjecture,
    ( ( ! [Xx: $i,Xy: $i] :
          ( ( cP @ Xx @ Xy )
         => ~ ( cQ @ Xx @ Xy ) )
      & ! [Xx: $i] :
          ( ( cS @ Xx )
         => ? [Xy: $i] : ( cQ @ Xy @ Xx ) )
      & ? [Xv: $i] :
        ! [Xx: $i] : ( cP @ Xx @ Xv ) )
   => ? [Xu: $i] :
        ~ ( cS @ Xu ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i,Xy: $i] :
            ( ( cP @ Xx @ Xy )
           => ~ ( cQ @ Xx @ Xy ) )
        & ! [Xx: $i] :
            ( ( cS @ Xx )
           => ? [Xy: $i] : ( cQ @ Xy @ Xx ) )
        & ? [Xv: $i] :
          ! [Xx: $i] : ( cP @ Xx @ Xv ) )
     => ? [Xu: $i] :
          ~ ( cS @ Xu ) ),
    inference('cnf.neg',[status(esa)],[cX2112]) ).

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

thf(zip_derived_cl3,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( cP @ Y0 @ Y1 )
             => ( (~) @ ( cQ @ Y0 @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( cS @ Y0 )
         => ( ??
            @ ^ [Y1: $i] : ( cQ @ Y1 @ Y0 ) ) ) )
    & ( ??
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] : ( cP @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cS @ Y0 )
       => ( ??
          @ ^ [Y1: $i] : ( cQ @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ( cS @ X2 )
     => ( ??
        @ ^ [Y0: $i] : ( cQ @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ~ ( cS @ X2 )
      | ( ??
        @ ^ [Y0: $i] : ( cQ @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i] :
      ( ( cQ @ ( '#sk2' @ X2 ) @ X2 )
      | ~ ( cS @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( (~) @ ( cS @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] : ( cS @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i] : ( cQ @ ( '#sk2' @ X2 ) @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl8]) ).

thf(zip_derived_cl7,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] : ( cP @ Y1 @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    ( !!
    @ ^ [Y0: $i] : ( cP @ Y0 @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] : ( cP @ X2 @ '#sk1' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( cP @ Y0 @ Y1 )
           => ( (~) @ ( cQ @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( cP @ X2 @ Y0 )
         => ( (~) @ ( cQ @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( ( cP @ X2 @ X4 )
     => ( (~) @ ( cQ @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cP @ X2 @ X4 )
      | ~ ( cQ @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ~ ( cQ @ X0 @ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN361^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wXnRFQi3Rd true
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 17:23:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % Solved by lams/15_e_short1.sh.
% 0.58/0.77  % done 5 iterations in 0.008s
% 0.58/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.77  % SZS output start Refutation
% See solution above
% 0.58/0.77  
% 0.58/0.77  
% 0.58/0.77  % Terminating...
% 0.65/0.86  % Runner terminated.
% 0.65/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------