TSTP Solution File: SYN360^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN360^5 : 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.eYO66c5kx0 true

% Computer : n028.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 0.18s 0.77s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   59 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  141 (   8   ~;   3   |;   4   &;  91   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   5 con; 0-2 aty)
%                                         (  17  !!;   9  ??;   0 @@+;   0 @@-)
%            Number of variables   :   51 (  26   ^;  21   !;   4   ?;  51   :)

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

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

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

thf(c_less__type,type,
    c_less_: $i > $i > $o ).

thf('#sk3_type',type,
    '#sk3': $i > $i ).

thf(cX2111A_pme,conjecture,
    ( ( ! [Xz: $i] :
        ? [Xy: $i] : ( c_less_ @ Xz @ Xy )
      & ! [Xx: $i] :
          ( ? [Xy: $i] : ( c_less_ @ Xx @ Xy )
         => ! [Xy: $i] : ( cQ @ Xx @ Xy ) ) )
   => ! [Xy: $i,Xx: $i] : ( cQ @ Xx @ Xy ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xz: $i] :
          ? [Xy: $i] : ( c_less_ @ Xz @ Xy )
        & ! [Xx: $i] :
            ( ? [Xy: $i] : ( c_less_ @ Xx @ Xy )
           => ! [Xy: $i] : ( cQ @ Xx @ Xy ) ) )
     => ! [Xy: $i,Xx: $i] : ( cQ @ Xx @ Xy ) ),
    inference('cnf.neg',[status(esa)],[cX2111A_pme]) ).

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

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] : ( cQ @ Y1 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $i] : ( cQ @ Y0 @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( cQ @ '#sk2' @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] : ( c_less_ @ Y0 @ Y1 ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( ??
            @ ^ [Y1: $i] : ( c_less_ @ Y0 @ Y1 ) )
         => ( !!
            @ ^ [Y1: $i] : ( cQ @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( c_less_ @ Y0 @ Y1 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] : ( c_less_ @ X2 @ Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] : ( c_less_ @ X2 @ ( '#sk3' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ??
          @ ^ [Y1: $i] : ( c_less_ @ Y0 @ Y1 ) )
       => ( !!
          @ ^ [Y1: $i] : ( cQ @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( ??
        @ ^ [Y0: $i] : ( c_less_ @ X2 @ Y0 ) )
     => ( !!
        @ ^ [Y0: $i] : ( cQ @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] : ( c_less_ @ X2 @ Y0 ) )
      | ( !!
        @ ^ [Y0: $i] : ( cQ @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( c_less_ @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] : ( cQ @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( cQ @ X2 @ X6 )
      | ~ ( c_less_ @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] : ( cQ @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl12]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN360^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eYO66c5kx0 true
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 22:06:52 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.18/0.64  % Total configuration time : 828
% 0.18/0.64  % Estimated wc time : 1656
% 0.18/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.77  % Solved by lams/35_full_unif4.sh.
% 0.18/0.77  % done 3 iterations in 0.012s
% 0.18/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.77  % SZS output start Refutation
% See solution above
% 0.18/0.77  
% 0.18/0.77  
% 0.18/0.77  % Terminating...
% 1.63/0.83  % Runner terminated.
% 1.63/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------