TSTP Solution File: SEU508^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU508^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AgJ8owBLM3 true

% Computer : n004.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 19:13:24 EDT 2023

% Result   : Theorem 1.64s 0.87s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   56 (   4 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  191 (  14   ~;  12   |;   0   &; 141   @)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   60 (  15   ^;  45   !;   0   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(dsetconstrI_type,type,
    dsetconstrI: $o ).

thf(dsetconstrER_type,type,
    dsetconstrER: $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__7_type,type,
    sk__7: $i > $o ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(dsetconstrER,axiom,
    ( dsetconstrER
    = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx
            @ ( dsetconstr @ A
              @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
         => ( Xphi @ Xx ) ) ) ) ).

thf('0',plain,
    ( dsetconstrER
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
         => ( X6 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(dsetconstrI,axiom,
    ( dsetconstrI
    = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( Xphi @ Xx )
           => ( in @ Xx
              @ ( dsetconstr @ A
                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).

thf('1',plain,
    ( dsetconstrI
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(setbeta,conjecture,
    ( dsetconstrI
   => ( dsetconstrER
     => ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( in @ Xx
              @ ( dsetconstr @ A
                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
          <=> ( Xphi @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i > $o,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ( X6 @ X8 )
         => ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
   => ( ! [X10: $i,X12: $i > $o,X14: $i] :
          ( ( in @ X14
            @ ( dsetconstr @ X10
              @ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
         => ( X12 @ X14 ) )
     => ! [X16: $i,X18: $i > $o,X20: $i] :
          ( ( in @ X20 @ X16 )
         => ( ( in @ X20
              @ ( dsetconstr @ X16
                @ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
          <=> ( X18 @ X20 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
     => ( ! [X10: $i,X12: $i > $o,X14: $i] :
            ( ( in @ X14
              @ ( dsetconstr @ X10
                @ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
           => ( X12 @ X14 ) )
       => ! [X16: $i,X18: $i > $o,X20: $i] :
            ( ( in @ X20 @ X16 )
           => ( ( in @ X20
                @ ( dsetconstr @ X16
                  @ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
            <=> ( X18 @ X20 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ~ ( X0 @ X1 )
      | ( in @ X1
        @ ( dsetconstr @ X2
          @ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ~ ( X0 @ X1 )
      | ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( sk__7 @ sk__8 )
    | ~ ( in @ sk__8
        @ ( dsetconstr @ sk__6
          @ ^ [Y0: $i] : ( sk__7 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( sk__7 @ sk__8 )
    | ~ ( in @ sk__8 @ ( dsetconstr @ sk__6 @ sk__7 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ( ( sk__7 @ sk__8 )
    | ( in @ sk__8
      @ ( dsetconstr @ sk__6
        @ ^ [Y0: $i] : ( sk__7 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__7 @ sk__8 )
    | ( in @ sk__8 @ ( dsetconstr @ sk__6 @ sk__7 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i > $o,X4: $i,X5: $i] :
      ( ( X3 @ X4 )
      | ~ ( in @ X4
          @ ( dsetconstr @ X5
            @ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl31,plain,
    ! [X3: $i > $o,X4: $i,X5: $i] :
      ( ( X3 @ X4 )
      | ~ ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl38,plain,
    ( ( sk__7 @ sk__8 )
    | ( sk__7 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl31]) ).

thf(zip_derived_cl57,plain,
    sk__7 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl77,plain,
    ~ ( in @ sk__8 @ ( dsetconstr @ sk__6 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl57]) ).

thf(zip_derived_cl78,plain,
    ( ~ ( in @ sk__8 @ sk__6 )
    | ~ ( sk__7 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl77]) ).

thf(zip_derived_cl3,plain,
    in @ sk__8 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl57_001,plain,
    sk__7 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl80,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl3,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU508^2 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AgJ8owBLM3 true
% 0.13/0.34  % Computer : n004.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 19:17:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.21/0.64  % Total configuration time : 828
% 0.21/0.64  % Estimated wc time : 1656
% 0.21/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.16/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.16/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.16/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.60/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.60/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.64/0.87  % Solved by lams/40_c_ic.sh.
% 1.64/0.87  % done 10 iterations in 0.054s
% 1.64/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.64/0.87  % SZS output start Refutation
% See solution above
% 1.64/0.87  
% 1.64/0.87  
% 1.64/0.87  % Terminating...
% 2.21/0.95  % Runner terminated.
% 2.21/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------