TSTP Solution File: SEU264+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU264+2 : 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.DJPd0dr1Sa true

% Computer : n010.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 19:11:41 EDT 2023

% Result   : Theorem 1.72s 0.89s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   59 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  193 (  20   ~;  18   |;   3   &; 143   @)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   52 (   0   ^;  52   !;   0   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
    relation_rng: $i > $i ).

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

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

thf(relation_of2_as_subset_type,type,
    relation_of2_as_subset: $i > $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(t16_relset_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( relation_of2_as_subset @ D @ C @ A )
     => ( ( subset @ A @ B )
       => ( relation_of2_as_subset @ D @ C @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( relation_of2_as_subset @ D @ C @ A )
       => ( ( subset @ A @ B )
         => ( relation_of2_as_subset @ D @ C @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t16_relset_1]) ).

thf(zip_derived_cl13,plain,
    ~ ( relation_of2_as_subset @ sk__5 @ sk__4 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    relation_of2_as_subset @ sk__5 @ sk__4 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(t14_relset_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( relation_of2_as_subset @ D @ C @ A )
     => ( ( subset @ ( relation_rng @ D ) @ B )
       => ( relation_of2_as_subset @ D @ C @ B ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
      | ( relation_of2_as_subset @ X0 @ X2 @ X1 )
      | ~ ( relation_of2_as_subset @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[t14_relset_1]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation_of2_as_subset @ X0 @ X2 @ X1 )
      | ( relation_of2_as_subset @ X0 @ X2 @ ( relation_rng @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).

thf(zip_derived_cl269,plain,
    relation_of2_as_subset @ sk__5 @ sk__4 @ ( relation_rng @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl263]) ).

thf(zip_derived_cl15,plain,
    subset @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl14_001,plain,
    relation_of2_as_subset @ sk__5 @ sk__4 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t12_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
     => ( ( subset @ ( relation_dom @ C ) @ A )
        & ( subset @ ( relation_rng @ C ) @ B ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( relation_rng @ X0 ) @ X1 )
      | ~ ( relation_of2_as_subset @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[t12_relset_1]) ).

thf(zip_derived_cl82,plain,
    subset @ ( relation_rng @ sk__5 ) @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).

thf(t1_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ C ) )
     => ( subset @ A @ C ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X2 )
      | ( subset @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t1_xboole_1]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( subset @ ( relation_rng @ sk__5 ) @ X0 )
      | ~ ( subset @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl12]) ).

thf(zip_derived_cl12_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X2 )
      | ( subset @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t1_xboole_1]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ sk__2 @ X0 )
      | ( subset @ ( relation_rng @ sk__5 ) @ X1 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl12]) ).

thf(zip_derived_cl632,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__2 != X0 )
      | ~ ( subset @ X0 @ X1 )
      | ( subset @ ( relation_rng @ sk__5 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl287]) ).

thf(zip_derived_cl655,plain,
    ( ( subset @ ( relation_rng @ sk__5 ) @ sk__3 )
    | ( sk__2 != sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl632]) ).

thf(zip_derived_cl661,plain,
    subset @ ( relation_rng @ sk__5 ) @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl655]) ).

thf(zip_derived_cl11_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
      | ( relation_of2_as_subset @ X0 @ X2 @ X1 )
      | ~ ( relation_of2_as_subset @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[t14_relset_1]) ).

thf(zip_derived_cl695,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation_of2_as_subset @ sk__5 @ X1 @ X0 )
      | ( relation_of2_as_subset @ sk__5 @ X1 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl11]) ).

thf(zip_derived_cl741,plain,
    relation_of2_as_subset @ sk__5 @ sk__4 @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl695]) ).

thf(zip_derived_cl748,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl741]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DJPd0dr1Sa true
% 0.14/0.33  % Computer : n010.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Thu Aug 24 01:23:36 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Running portfolio for 300 s
% 0.14/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.33  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.72/0.89  % Solved by fo/fo4.sh.
% 1.72/0.89  % done 282 iterations in 0.120s
% 1.72/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.72/0.89  % SZS output start Refutation
% See solution above
% 1.72/0.89  
% 1.72/0.89  
% 1.72/0.89  % Terminating...
% 1.72/0.95  % Runner terminated.
% 1.72/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------