TSTP Solution File: SWB009+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vvmVbFrFVY true

% Computer : n032.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 20:15:52 EDT 2023

% Result   : Theorem 0.13s 0.58s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   45 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   76 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  327 (  44   ~;  27   |;   9   &; 239   @)
%                                         (   2 <=>;   1  =>;   5  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :   38 (   0   ^;  34   !;   4   ?;  38   :)

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

thf(uri_ex_p_type,type,
    uri_ex_p: $i ).

thf(iext_type,type,
    iext: $i > $i > $i > $o ).

thf(uri_owl_onProperty_type,type,
    uri_owl_onProperty: $i ).

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

thf(uri_ex_c_type,type,
    uri_ex_c: $i ).

thf(uri_owl_someValuesFrom_type,type,
    uri_owl_someValuesFrom: $i ).

thf(uri_owl_ObjectProperty_type,type,
    uri_owl_ObjectProperty: $i ).

thf(uri_rdf_type_type,type,
    uri_rdf_type: $i ).

thf(uri_owl_Restriction_type,type,
    uri_owl_Restriction: $i ).

thf(uri_ex_s_type,type,
    uri_ex_s: $i ).

thf(uri_owl_Class_type,type,
    uri_owl_Class: $i ).

thf(icext_type,type,
    icext: $i > $i > $o ).

thf(rdfs_cext_def,axiom,
    ! [X: $i,C: $i] :
      ( ( iext @ uri_rdf_type @ X @ C )
    <=> ( icext @ C @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
    ? [BNODE_z: $i] :
      ( ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_ex_c )
      & ( iext @ uri_owl_onProperty @ BNODE_z @ uri_ex_p )
      & ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
      & ( iext @ uri_rdf_type @ uri_ex_s @ BNODE_z )
      & ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
      & ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_ObjectProperty ) ) ).

thf(zip_derived_cl7,plain,
    iext @ uri_owl_onProperty @ sk__1 @ uri_ex_p,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf(owl_restrict_somevaluesfrom,axiom,
    ! [Z: $i,P: $i,C: $i] :
      ( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
        & ( iext @ uri_owl_onProperty @ Z @ P ) )
     => ! [X: $i] :
          ( ( icext @ Z @ X )
        <=> ? [Y: $i] :
              ( ( icext @ C @ Y )
              & ( iext @ P @ X @ Y ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_owl_onProperty @ X0 @ X1 )
      | ~ ( iext @ uri_owl_someValuesFrom @ X0 @ X2 )
      | ( icext @ X2 @ ( sk_ @ X3 @ X2 @ X1 ) )
      | ~ ( icext @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_restrict_somevaluesfrom]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
      | ( icext @ X0 @ ( sk_ @ X1 @ X0 @ uri_ex_p ) )
      | ~ ( icext @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdf_type @ X0 @ X1 )
      | ~ ( icext @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( icext @ sk__1 @ X1 )
      | ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
      | ( iext @ uri_rdf_type @ ( sk_ @ X1 @ X0 @ uri_ex_p ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1]) ).

thf(zip_derived_cl7_001,plain,
    iext @ uri_owl_onProperty @ sk__1 @ uri_ex_p,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_owl_onProperty @ X0 @ X1 )
      | ~ ( iext @ uri_owl_someValuesFrom @ X0 @ X2 )
      | ( iext @ X1 @ X3 @ ( sk_ @ X3 @ X2 @ X1 ) )
      | ~ ( icext @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_restrict_somevaluesfrom]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
      | ( iext @ uri_ex_p @ X1 @ ( sk_ @ X1 @ X0 @ uri_ex_p ) )
      | ~ ( icext @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
    ? [BNODE_x: $i] :
      ( ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c )
      & ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [BNODE_x: $i] :
        ( ( iext @ uri_rdf_type @ BNODE_x @ uri_ex_c )
        & ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) ),
    inference('cnf.neg',[status(esa)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_type @ X0 @ uri_ex_c )
      | ~ ( iext @ uri_ex_p @ uri_ex_s @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ~ ( icext @ sk__1 @ uri_ex_s )
      | ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
      | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    ( ! [X0: $i] :
        ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
        | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) )
   <= ! [X0: $i] :
        ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
        | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl23,plain,
    ( ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ uri_ex_c )
      | ~ ( icext @ sk__1 @ uri_ex_s )
      | ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ uri_ex_c ) )
   <= ! [X0: $i] :
        ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
        | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).

thf(zip_derived_cl6,plain,
    iext @ uri_owl_someValuesFrom @ sk__1 @ uri_ex_c,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf(zip_derived_cl6_002,plain,
    iext @ uri_owl_someValuesFrom @ sk__1 @ uri_ex_c,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( icext @ sk__1 @ uri_ex_s )
   <= ! [X0: $i] :
        ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
        | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( icext @ sk__1 @ uri_ex_s )
   <= ~ ( icext @ sk__1 @ uri_ex_s ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( iext @ uri_rdf_type @ uri_ex_s @ sk__1 )
   <= ~ ( icext @ sk__1 @ uri_ex_s ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl9,plain,
    iext @ uri_rdf_type @ uri_ex_s @ sk__1,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf('0',plain,
    icext @ sk__1 @ uri_ex_s,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl9]) ).

thf('1',plain,
    ( ! [X0: $i] :
        ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
        | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) )
    | ~ ( icext @ sk__1 @ uri_ex_s ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('2',plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_someValuesFrom @ sk__1 @ X0 )
      | ~ ( iext @ uri_rdf_type @ ( sk_ @ uri_ex_s @ X0 @ uri_ex_p ) @ uri_ex_c ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl30,plain,
    ~ ( icext @ sk__1 @ uri_ex_s ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl24,'2']) ).

thf(zip_derived_cl33,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_s @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl30]) ).

thf(zip_derived_cl9_004,plain,
    iext @ uri_rdf_type @ uri_ex_s @ sk__1,
    inference(cnf,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vvmVbFrFVY true
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Sun Aug 27 07:08:30 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % Running portfolio for 300 s
% 0.08/0.28  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28  % Number of cores: 8
% 0.08/0.29  % Python version: Python 3.6.8
% 0.08/0.29  % Running in FO mode
% 0.13/0.49  % Total configuration time : 435
% 0.13/0.49  % Estimated wc time : 1092
% 0.13/0.49  % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.58  % Solved by fo/fo1_av.sh.
% 0.13/0.58  % done 20 iterations in 0.010s
% 0.13/0.58  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.13/0.58  % SZS output start Refutation
% See solution above
% 0.13/0.58  
% 0.13/0.58  
% 0.13/0.58  % Terminating...
% 0.13/0.70  % Runner terminated.
% 0.13/0.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------