TSTP Solution File: SEU250+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU250+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.oyyMOHPPLV true

% Computer : n009.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 19:11:36 EDT 2023

% Result   : Theorem 1.25s 1.22s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   49 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  224 (  12   ~;  17   |;   3   &; 186   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_restriction_type,type,
    relation_restriction: $i > $i > $i ).

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

thf(relation_type,type,
    relation: $i > $o ).

thf(t20_wellord1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( ( subset @ ( relation_field @ ( relation_restriction @ B @ A ) ) @ ( relation_field @ B ) )
        & ( subset @ ( relation_field @ ( relation_restriction @ B @ A ) ) @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( ( subset @ ( relation_field @ ( relation_restriction @ B @ A ) ) @ ( relation_field @ B ) )
          & ( subset @ ( relation_field @ ( relation_restriction @ B @ A ) ) @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t20_wellord1]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ sk__1 ) ) @ ( relation_field @ sk__2 ) )
    | ~ ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ sk__1 ) ) @ sk__1 ) ),
    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_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl20,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t19_wellord1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_field @ ( relation_restriction @ C @ B ) ) )
       => ( ( in @ A @ ( relation_field @ C ) )
          & ( in @ A @ B ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( relation_field @ ( relation_restriction @ X1 @ X2 ) ) )
      | ( in @ X0 @ X2 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t19_wellord1]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( relation_field @ ( relation_restriction @ X1 @ X0 ) ) @ X2 )
      | ~ ( relation @ X1 )
      | ( in @ ( sk_ @ X2 @ ( relation_field @ ( relation_restriction @ X1 @ X0 ) ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl15]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk_ @ X1 @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) ) @ X0 )
      | ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl48]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i] :
      ( ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ X0 )
      | ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl56]) ).

thf(zip_derived_cl277,plain,
    ! [X0: $i] : ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl273]) ).

thf(zip_derived_cl281,plain,
    ~ ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ sk__1 ) ) @ ( relation_field @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl277]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl20_002,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( relation_field @ ( relation_restriction @ X1 @ X2 ) ) )
      | ( in @ X0 @ ( relation_field @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t19_wellord1]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( relation_field @ ( relation_restriction @ X1 @ X0 ) ) @ X2 )
      | ~ ( relation @ X1 )
      | ( in @ ( sk_ @ X2 @ ( relation_field @ ( relation_restriction @ X1 @ X0 ) ) ) @ ( relation_field @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk_ @ X1 @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) ) @ ( relation_field @ sk__2 ) )
      | ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl49]) ).

thf(zip_derived_cl3046,plain,
    ! [X0: $i] :
      ( ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ ( relation_field @ sk__2 ) )
      | ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ ( relation_field @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl85]) ).

thf(zip_derived_cl3060,plain,
    ! [X0: $i] : ( subset @ ( relation_field @ ( relation_restriction @ sk__2 @ X0 ) ) @ ( relation_field @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3046]) ).

thf(zip_derived_cl3064,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl3060]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU250+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oyyMOHPPLV true
% 0.13/0.34  % Computer : n009.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
% 0.19/0.34  % CPULimit : 300
% 0.19/0.34  % WCLimit  : 300
% 0.19/0.34  % DateTime : Thu Aug 24 01:25:06 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.34  % Running portfolio for 300 s
% 0.19/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/1.22  % Solved by fo/fo4.sh.
% 1.25/1.22  % done 337 iterations in 0.451s
% 1.25/1.22  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/1.22  % SZS output start Refutation
% See solution above
% 1.25/1.22  
% 1.25/1.22  
% 1.25/1.22  % Terminating...
% 1.25/1.27  % Runner terminated.
% 1.25/1.27  % Zipperpin 1.5 exiting
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