TSTP Solution File: SEU173+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU173+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xUl7Lfy02Q true

% Computer : n017.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 19:11:00 EDT 2023

% Result   : Theorem 1.57s 0.94s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :   45 (   3 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (  11   ~;  11   |;   1   &;  93   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subset_type,type,
    subset: $i > $i > $o ).

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

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

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

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

thf(l71_subset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) )
     => ( element @ A @ ( powerset @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ! [C: $i] :
            ( ( in @ C @ A )
           => ( in @ C @ B ) )
       => ( element @ A @ ( powerset @ B ) ) ),
    inference('cnf.neg',[status(esa)],[l71_subset_1]) ).

thf(zip_derived_cl23,plain,
    ~ ( element @ sk__6 @ ( powerset @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__7 )
      | ~ ( in @ X0 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( subset @ sk__6 @ X0 )
      | ( in @ ( sk__1 @ X0 @ sk__6 ) @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl702,plain,
    ( ( subset @ sk__6 @ sk__7 )
    | ( subset @ sk__6 @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl60]) ).

thf(zip_derived_cl703,plain,
    subset @ sk__6 @ sk__7,
    inference(simplify,[status(thm)],[zip_derived_cl702]) ).

thf(d1_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( powerset @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( subset @ C @ A ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[d1_zfmisc_1]) ).

thf(zip_derived_cl705,plain,
    ! [X0: $i] :
      ( ( X0
       != ( powerset @ sk__7 ) )
      | ( in @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl703,zip_derived_cl1]) ).

thf(zip_derived_cl802,plain,
    in @ sk__6 @ ( powerset @ sk__7 ),
    inference(eq_res,[status(thm)],[zip_derived_cl705]) ).

thf(d2_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( empty @ B ) ) )
      & ( ~ ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( in @ B @ A ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( element @ X0 @ X1 )
      | ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl831,plain,
    ( ( empty @ ( powerset @ sk__7 ) )
    | ( element @ sk__6 @ ( powerset @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl5]) ).

thf(fc1_subset_1,axiom,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ~ ( empty @ ( powerset @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_subset_1]) ).

thf(zip_derived_cl839,plain,
    element @ sk__6 @ ( powerset @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl831,zip_derived_cl13]) ).

thf(zip_derived_cl856,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl839]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU173+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xUl7Lfy02Q true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 18:43:23 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
% 0.13/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.57/0.94  % Solved by fo/fo4.sh.
% 1.57/0.94  % done 387 iterations in 0.148s
% 1.57/0.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.57/0.94  % SZS output start Refutation
% See solution above
% 1.57/0.94  
% 1.57/0.94  
% 1.57/0.94  % Terminating...
% 2.09/1.05  % Runner terminated.
% 2.09/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------