TSTP Solution File: SWB024+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d7Nl1sYcG7 true

% Computer : n008.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 0.17s 0.74s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   61 (  12 unt;  19 typ;   0 def)
%            Number of atoms       :   99 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  395 (  46   ~;  36   |;  14   &; 292   @)
%                                         (   4 <=>;   3  =>;   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   :   56 (   0   ^;  52   !;   4   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uri_ex_hasAncestor_type,type,
    uri_ex_hasAncestor: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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_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_cl18,plain,
    iext @ uri_rdfs_subClassOf @ uri_ex_Person @ sk__5,
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(owl_rdfsext_subclassof,axiom,
    ! [C1: $i,C2: $i] :
      ( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
    <=> ( ( ic @ C1 )
        & ( ic @ C2 )
        & ! [X: $i] :
            ( ( icext @ C1 @ X )
           => ( icext @ C2 @ X ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( icext @ X0 @ X1 )
      | ( icext @ X2 @ X1 )
      | ~ ( iext @ uri_rdfs_subClassOf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_Person @ X0 )
      | ( icext @ sk__5 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    iext @ uri_owl_onProperty @ sk__5 @ 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_cl2,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_ @ X2 @ X1 ) )
      | ~ ( icext @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[owl_restrict_mincard_001]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_minCardinality @ sk__5 @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
      | ( iext @ uri_ex_hasAncestor @ X0 @ ( sk_ @ X0 @ uri_ex_hasAncestor ) )
      | ~ ( icext @ sk__5 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).

thf(zip_derived_cl15,plain,
    iext @ uri_owl_minCardinality @ sk__5 @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ),
    inference(cnf,[status(esa)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( iext @ uri_ex_hasAncestor @ X0 @ ( sk_ @ X0 @ uri_ex_hasAncestor ) )
      | ~ ( icext @ sk__5 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl15]) ).

thf(zip_derived_cl21,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_cl0_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_cl33_002,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_Person @ X0 )
      | ( icext @ sk__5 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).

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_cl39,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_Person @ X0 )
      | ( iext @ uri_rdf_type @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_type @ X0 @ uri_ex_Person )
      | ( iext @ uri_rdf_type @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl39]) ).

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_cl34_004,plain,
    ! [X0: $i] :
      ( ( iext @ uri_ex_hasAncestor @ X0 @ ( sk_ @ X0 @ uri_ex_hasAncestor ) )
      | ~ ( icext @ sk__5 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl15]) ).

thf(zip_derived_cl19,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(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

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_cl10,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_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_rdf_type @ X0 @ uri_owl_TransitiveProperty )
      | ( iext @ X0 @ X2 @ X1 )
      | ~ ( iext @ X0 @ X3 @ X1 )
      | ~ ( iext @ X0 @ X2 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl10]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iext @ uri_ex_hasAncestor @ X1 @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ X2 @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl48]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( icext @ sk__5 @ X0 )
      | ( iext @ uri_ex_hasAncestor @ X1 @ ( sk_ @ X0 @ uri_ex_hasAncestor ) )
      | ~ ( iext @ uri_ex_hasAncestor @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl50]) ).

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_cl14,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_cl89,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ X0 )
      | ~ ( icext @ sk__5 @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ ( sk_ @ X0 @ uri_ex_hasAncestor ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl14]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_type @ X0 @ sk__5 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ ( sk_ @ X0 @ uri_ex_hasAncestor ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl89]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_type @ X0 @ uri_ex_Person )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ X0 )
      | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ ( sk_ @ X0 @ uri_ex_hasAncestor ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl91]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( iext @ uri_ex_hasAncestor @ uri_ex_alice @ uri_ex_bob )
    | ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ ( sk_ @ uri_ex_bob @ uri_ex_hasAncestor ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl96]) ).

thf(zip_derived_cl22,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_cl114,plain,
    ~ ( iext @ uri_ex_hasAncestor @ uri_ex_bob @ ( sk_ @ uri_ex_bob @ uri_ex_hasAncestor ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl22]) ).

thf(zip_derived_cl116,plain,
    ~ ( icext @ sk__5 @ uri_ex_bob ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl114]) ).

thf(zip_derived_cl121,plain,
    ~ ( icext @ uri_ex_Person @ uri_ex_bob ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl116]) ).

thf(zip_derived_cl127,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_Person ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl121]) ).

thf(zip_derived_cl21_006,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_cl128,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d7Nl1sYcG7 true
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 06:22:17 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.17/0.61  % Total configuration time : 435
% 0.17/0.61  % Estimated wc time : 1092
% 0.17/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.74  % Solved by fo/fo6_bce.sh.
% 0.17/0.74  % BCE start: 23
% 0.17/0.74  % BCE eliminated: 0
% 0.17/0.74  % PE start: 23
% 0.17/0.74  logic: neq
% 0.17/0.74  % PE eliminated: 4
% 0.17/0.74  % done 65 iterations in 0.029s
% 0.17/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.74  % SZS output start Refutation
% See solution above
% 0.17/0.74  
% 0.17/0.74  
% 0.17/0.74  % Terminating...
% 0.17/0.83  % Runner terminated.
% 0.17/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------