TSTP Solution File: SWB024+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB024+1 : 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.V3HEDnWWJd true

% Computer : n031.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 20:16:05 EDT 2023

% Result   : Theorem 1.36s 0.98s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   49 (  12 unt;  19 typ;   0 def)
%            Number of atoms       :   69 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  257 (  23   ~;  18   |;  14   &; 195   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;  14 con; 0-3 aty)
%            Number of variables   :   39 (   0   ^;  35   !;   4   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ip_type,type,
    ip: $i > $o ).

thf(uri_owl_minCardinality_type,type,
    uri_owl_minCardinality: $i ).

thf(uri_ex_bob_type,type,
    uri_ex_bob: $i ).

thf(uri_owl_TransitiveProperty_type,type,
    uri_owl_TransitiveProperty: $i ).

thf(uri_ex_hasAncestor_type,type,
    uri_ex_hasAncestor: $i ).

thf(sk__15_type,type,
    sk__15: $i > $i > $i ).

thf(literal_typed_type,type,
    literal_typed: $i > $i > $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(uri_xsd_nonNegativeInteger_type,type,
    uri_xsd_nonNegativeInteger: $i ).

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

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

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

thf(ic_type,type,
    ic: $i > $o ).

thf(dat_str_1_type,type,
    dat_str_1: $i ).

thf(uri_ex_alice_type,type,
    uri_ex_alice: $i ).

thf(uri_rdfs_subClassOf_type,type,
    uri_rdfs_subClassOf: $i ).

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

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

thf(uri_ex_Person_type,type,
    uri_ex_Person: $i ).

thf(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
    ? [BNODE_z: $i] :
      ( ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ uri_ex_bob )
      & ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_Person )
      & ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_Person )
      & ( iext @ uri_owl_minCardinality @ BNODE_z @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
      & ( iext @ uri_owl_onProperty @ BNODE_z @ uri_ex_hasAncestor )
      & ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
      & ( iext @ uri_rdfs_subClassOf @ uri_ex_Person @ BNODE_z )
      & ( iext @ uri_rdf_type @ uri_ex_hasAncestor @ uri_owl_TransitiveProperty ) ) ).

thf(zip_derived_cl135,plain,
    iext @ uri_rdfs_subClassOf @ uri_ex_Person @ sk__27,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(rdfs_subclassof_main,axiom,
    ! [C: $i,D: $i] :
      ( ( iext @ uri_rdfs_subClassOf @ C @ D )
     => ( ( ic @ C )
        & ( ic @ D )
        & ! [X: $i] :
            ( ( icext @ C @ X )
           => ( icext @ D @ X ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( icext @ X0 @ X1 )
      | ( icext @ X2 @ X1 )
      | ~ ( iext @ uri_rdfs_subClassOf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[rdfs_subclassof_main]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ( icext @ sk__27 @ X0 )
      | ~ ( icext @ uri_ex_Person @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl18]) ).

thf(zip_derived_cl133,plain,
    iext @ uri_owl_onProperty @ sk__27 @ uri_ex_hasAncestor,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(owl_restrict_mincard_001,axiom,
    ! [Z: $i,P: $i] :
      ( ( ( iext @ uri_owl_minCardinality @ Z @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
        & ( iext @ uri_owl_onProperty @ Z @ P ) )
     => ! [X: $i] :
          ( ( icext @ Z @ X )
        <=> ? [Y: $i] : ( iext @ P @ X @ Y ) ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_minCardinality @ X0 @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
      | ~ ( iext @ uri_owl_onProperty @ X0 @ X1 )
      | ( iext @ X1 @ X2 @ ( sk__15 @ X2 @ X1 ) )
      | ~ ( icext @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[owl_restrict_mincard_001]) ).

thf(zip_derived_cl765,plain,
    ! [X0: $i] :
      ( ~ ( icext @ sk__27 @ X0 )
      | ( iext @ uri_ex_hasAncestor @ X0 @ ( sk__15 @ X0 @ uri_ex_hasAncestor ) )
      | ~ ( iext @ uri_owl_minCardinality @ sk__27 @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl99]) ).

thf(zip_derived_cl132,plain,
    iext @ uri_owl_minCardinality @ sk__27 @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ),
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(zip_derived_cl768,plain,
    ! [X0: $i] :
      ( ~ ( icext @ sk__27 @ X0 )
      | ( iext @ uri_ex_hasAncestor @ X0 @ ( sk__15 @ X0 @ uri_ex_hasAncestor ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl765,zip_derived_cl132]) ).

thf(zip_derived_cl139,plain,
    iext @ uri_ex_hasAncestor @ uri_ex_alice @ uri_ex_bob,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(zip_derived_cl136,plain,
    iext @ uri_rdf_type @ uri_ex_hasAncestor @ uri_owl_TransitiveProperty,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl161,plain,
    icext @ uri_owl_TransitiveProperty @ uri_ex_hasAncestor,
    inference('sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl7]) ).

thf(owl_char_transitive,axiom,
    ! [P: $i] :
      ( ( icext @ uri_owl_TransitiveProperty @ P )
    <=> ( ( ip @ P )
        & ! [X: $i,Y: $i,Z: $i] :
            ( ( ( iext @ P @ X @ Y )
              & ( iext @ P @ Y @ Z ) )
           => ( iext @ P @ X @ Z ) ) ) ) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( iext @ X0 @ X1 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X2 )
      | ~ ( iext @ X0 @ X1 @ X3 )
      | ~ ( icext @ uri_owl_TransitiveProperty @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_transitive]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_ex_hasAncestor @ X1 @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ X0 @ X2 )
      | ( iext @ uri_ex_hasAncestor @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl126]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i] :
      ( ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl359]) ).

thf(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
    ? [BNODE_x: $i] :
      ( ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ BNODE_x )
      & ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ BNODE_x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [BNODE_x: $i] :
        ( ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ BNODE_x )
        & ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ BNODE_x ) ),
    inference('cnf.neg',[status(esa)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i] :
      ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl140]) ).

thf(zip_derived_cl1238,plain,
    ~ ( icext @ sk__27 @ uri_ex_bob ),
    inference('sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl393]) ).

thf(zip_derived_cl1241,plain,
    ~ ( icext @ uri_ex_Person @ uri_ex_bob ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl1238]) ).

thf(zip_derived_cl138,plain,
    iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_Person,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl170,plain,
    icext @ uri_ex_Person @ uri_ex_bob,
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl7]) ).

thf(zip_derived_cl1244,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1241,zip_derived_cl170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : SWB024+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V3HEDnWWJd true
% 0.15/0.36  % Computer : n031.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 : Sun Aug 27 07:55:24 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.69  % Total configuration time : 435
% 0.23/0.69  % Estimated wc time : 1092
% 0.23/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.98  % Solved by fo/fo7.sh.
% 1.36/0.98  % done 549 iterations in 0.201s
% 1.36/0.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.98  % SZS output start Refutation
% See solution above
% 1.36/0.98  
% 1.36/0.98  
% 1.36/0.98  % Terminating...
% 1.63/1.10  % Runner terminated.
% 1.73/1.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------