TSTP Solution File: SEU162+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU162+1 : 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.JTp3NYkjFR true

% Computer : n002.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 19:10:54 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   46 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  146 (  22   ~;  15   |;   1   &; 103   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(singleton_type,type,
    singleton: $i > $i ).

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

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(t83_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_difference @ A @ B )
        = A ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ X1 )
        = X0 )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t83_xboole_1]) ).

thf(t65_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ ( singleton @ B ) )
        = A )
    <=> ~ ( in @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( set_difference @ A @ ( singleton @ B ) )
          = A )
      <=> ~ ( in @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[t65_zfmisc_1]) ).

thf(zip_derived_cl7,plain,
    ( ( in @ sk__1 @ sk_ )
    | ( ( set_difference @ sk_ @ ( singleton @ sk__1 ) )
     != sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ( ( sk_ != sk_ )
    | ~ ( disjoint @ sk_ @ ( singleton @ sk__1 ) )
    | ( in @ sk__1 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl43,plain,
    ( ( in @ sk__1 @ sk_ )
    | ~ ( disjoint @ sk_ @ ( singleton @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( in @ sk__1 @ sk_ )
    | ( ( set_difference @ sk_ @ ( singleton @ sk__1 ) )
      = sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_difference @ X0 @ X1 )
       != X0 ) ),
    inference(cnf,[status(esa)],[t83_xboole_1]) ).

thf(zip_derived_cl44,plain,
    ( ( sk_ != sk_ )
    | ~ ( in @ sk__1 @ sk_ )
    | ( disjoint @ sk_ @ ( singleton @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).

thf(zip_derived_cl46,plain,
    ( ( disjoint @ sk_ @ ( singleton @ sk__1 ) )
    | ~ ( in @ sk__1 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl44]) ).

thf(symmetry_r1_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
     => ( disjoint @ B @ A ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( in @ sk__1 @ sk_ )
    | ( disjoint @ ( singleton @ sk__1 ) @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl5]) ).

thf(l28_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( in @ A @ B )
     => ( disjoint @ ( singleton @ A ) @ B ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ ( singleton @ X0 ) @ X1 )
      | ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l28_zfmisc_1]) ).

thf(zip_derived_cl51,plain,
    disjoint @ ( singleton @ sk__1 ) @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl4]) ).

thf(l25_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( disjoint @ ( singleton @ A ) @ B )
        & ( in @ A @ B ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( disjoint @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l25_zfmisc_1]) ).

thf(zip_derived_cl53,plain,
    ~ ( in @ sk__1 @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl3]) ).

thf(zip_derived_cl56,plain,
    ~ ( disjoint @ sk_ @ ( singleton @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl53]) ).

thf(zip_derived_cl51_001,plain,
    disjoint @ ( singleton @ sk__1 ) @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl4]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).

thf(zip_derived_cl52,plain,
    disjoint @ sk_ @ ( singleton @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl5]) ).

thf(zip_derived_cl61,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JTp3NYkjFR true
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Aug 23 14:54:46 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.37  % Python version: Python 3.6.8
% 0.21/0.37  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /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
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % Solved by fo/fo3_bce.sh.
% 0.21/0.78  % BCE start: 10
% 0.21/0.78  % BCE eliminated: 0
% 0.21/0.78  % PE start: 10
% 0.21/0.78  logic: eq
% 0.21/0.78  % PE eliminated: 0
% 0.21/0.78  % done 18 iterations in 0.013s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.48/0.86  % Runner terminated.
% 1.48/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------