TSTP Solution File: SEU550^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU550^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PkEzVcxGnh true

% Computer : n027.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 19:13:47 EDT 2023

% Result   : Theorem 0.57s 0.86s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   91 (  16 equ;  18 cnn)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  204 (  10   ~;   2   |;   0   &; 144   @)
%                                         (  17 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (   8 usr;   5 con; 0-6 aty)
%                                         (  16  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   38 (  10   ^;  16   !;   0   ?;  38   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(exu_type,type,
    exu: ( $i > $o ) > $o ).

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

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

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(exu__Cong,conjecture,
    ! [Xphi: $i > $o,Xpsi: $i > $o] :
      ( ! [Xx: $i,Xy: $i] :
          ( ( Xx = Xy )
         => ( ( Xphi @ Xx )
          <=> ( Xpsi @ Xy ) ) )
     => ( ( exu
          @ ^ [Xx: $i] : ( Xphi @ Xx ) )
      <=> ( exu
          @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xphi: $i > $o,Xpsi: $i > $o] :
        ( ! [Xx: $i,Xy: $i] :
            ( ( Xx = Xy )
           => ( ( Xphi @ Xx )
            <=> ( Xpsi @ Xy ) ) )
       => ( ( exu
            @ ^ [Xx: $i] : ( Xphi @ Xx ) )
        <=> ( exu
            @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[exu__Cong]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ (=) ) ) ) ) @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ (<=>) ) ) ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (<=>) @ exu ) ) @ exu ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ (=) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (<=>) @ '#sk1' ) ) ) ) ) ) ) @ ( '#B' @ ( (<=>) @ ( exu @ '#sk1' ) ) @ exu ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (<=>) @ '#sk1' ) ) @ '#sk2' ) ) ) )
     => ( ( exu @ '#sk1' )
      <=> ( exu @ '#sk2' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (<=>) @ '#sk1' ) ) @ '#sk2' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( $i = X2 ) ) @ ( '#B' @ ( (<=>) @ ( '#sk1' @ X2 ) ) @ '#sk2' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 = X4 )
     => ( ( '#sk1' @ X2 )
      <=> ( '#sk2' @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 != X4 )
      | ( ( '#sk1' @ X2 )
      <=> ( '#sk2' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 != X4 )
      | ( ( '#sk1' @ X2 )
        = ( '#sk2' @ X4 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( ( '#sk1' @ X0 )
      = ( '#sk2' @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl124,plain,
    '#sk1' = '#sk2',
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl105]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( exu @ '#sk1' )
    <=> ( exu @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( exu @ '#sk1' )
   != ( exu @ '#sk2' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl125,plain,
    ( ( exu @ '#sk1' )
   != ( exu @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).

thf(zip_derived_cl128,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl125]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU550^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PkEzVcxGnh true
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Wed Aug 23 13:35:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.86  % Solved by lams/40_b.comb.sh.
% 0.57/0.86  % done 8 iterations in 0.062s
% 0.57/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.86  % SZS output start Refutation
% See solution above
% 0.57/0.86  
% 0.57/0.86  
% 0.57/0.86  % Terminating...
% 1.63/0.94  % Runner terminated.
% 1.63/0.95  % Zipperpin 1.5 exiting
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