TSTP Solution File: SEU355+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vznTFhb9mh true

% Computer : n031.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 19:12:21 EDT 2023

% Result   : Theorem 0.19s 0.78s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   38 (   9 unt;  13 typ;   0 def)
%            Number of atoms       :   62 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  211 (  24   ~;  20   |;   3   &; 150   @)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relstr_set_smaller_type,type,
    relstr_set_smaller: $i > $i > $i > $o ).

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

thf(sk__type,type,
    sk_: $i > $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i > $i ).

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

thf(relstr_element_smaller_type,type,
    relstr_element_smaller: $i > $i > $i > $o ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(related_type,type,
    related: $i > $i > $i > $o ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(rel_str_type,type,
    rel_str: $i > $o ).

thf(empty_type,type,
    empty: $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(t6_yellow_0,conjecture,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ( ( relstr_set_smaller @ A @ empty_set @ B )
            & ( relstr_element_smaller @ A @ empty_set @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( rel_str @ A )
       => ! [B: $i] :
            ( ( element @ B @ ( the_carrier @ A ) )
           => ( ( relstr_set_smaller @ A @ empty_set @ B )
              & ( relstr_element_smaller @ A @ empty_set @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t6_yellow_0]) ).

thf(zip_derived_cl26,plain,
    rel_str @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d8_lattice3,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i,C: $i] :
          ( ( element @ C @ ( the_carrier @ A ) )
         => ( ( relstr_element_smaller @ A @ B @ C )
          <=> ! [D: $i] :
                ( ( element @ D @ ( the_carrier @ A ) )
               => ( ( in @ D @ B )
                 => ( related @ A @ C @ D ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( in @ ( sk_ @ X0 @ X2 @ X1 ) @ X2 )
      | ( relstr_element_smaller @ X1 @ X2 @ X0 )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d8_lattice3]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i,X1: $i] :
      ( ( relstr_element_smaller @ sk__8 @ X1 @ X0 )
      | ( in @ ( sk_ @ X0 @ X1 @ sk__8 ) @ X1 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__8 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl3]) ).

thf(t7_boole,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl454,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__8 ) )
      | ( relstr_element_smaller @ sk__8 @ X0 @ X1 )
      | ~ ( empty @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl29]) ).

thf(zip_derived_cl26_001,plain,
    rel_str @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_lattice3,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i,C: $i] :
          ( ( element @ C @ ( the_carrier @ A ) )
         => ( ( relstr_set_smaller @ A @ B @ C )
          <=> ! [D: $i] :
                ( ( element @ D @ ( the_carrier @ A ) )
               => ( ( in @ D @ B )
                 => ( related @ A @ D @ C ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( in @ ( sk__1 @ X0 @ X2 @ X1 ) @ X2 )
      | ( relstr_set_smaller @ X1 @ X2 @ X0 )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d9_lattice3]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i,X1: $i] :
      ( ( relstr_set_smaller @ sk__8 @ X1 @ X0 )
      | ( in @ ( sk__1 @ X0 @ X1 @ sk__8 ) @ X1 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__8 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl7]) ).

thf(zip_derived_cl29_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__8 ) )
      | ( relstr_set_smaller @ sk__8 @ X0 @ X1 )
      | ~ ( empty @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl29]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( relstr_set_smaller @ sk__8 @ empty_set @ sk__9 )
    | ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ~ ( empty @ empty_set )
    | ~ ( element @ sk__9 @ ( the_carrier @ sk__8 ) )
    | ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl27]) ).

thf(fc1_xboole_0,axiom,
    empty @ empty_set ).

thf(zip_derived_cl18,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl28,plain,
    element @ sk__9 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl18,zip_derived_cl28]) ).

thf(zip_derived_cl518,plain,
    ( ~ ( empty @ empty_set )
    | ~ ( element @ sk__9 @ ( the_carrier @ sk__8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl517]) ).

thf(zip_derived_cl18_003,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl28_004,plain,
    element @ sk__9 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl518,zip_derived_cl18,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vznTFhb9mh true
% 0.13/0.34  % Computer : n031.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 : Wed Aug 23 16:27:20 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.59  % Total configuration time : 435
% 0.19/0.59  % Estimated wc time : 1092
% 0.19/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.78  % Solved by fo/fo6_bce.sh.
% 0.19/0.78  % BCE start: 31
% 0.19/0.78  % BCE eliminated: 4
% 0.19/0.78  % PE start: 27
% 0.19/0.78  logic: eq
% 0.19/0.78  % PE eliminated: -6
% 0.19/0.78  % done 77 iterations in 0.078s
% 0.19/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.78  % SZS output start Refutation
% See solution above
% 0.19/0.78  
% 0.19/0.78  
% 0.19/0.78  % Terminating...
% 1.40/0.82  % Runner terminated.
% 1.54/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------