TSTP Solution File: SWB079+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB079+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.QSxHxLifmv true

% Computer : n002.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 20:16:23 EDT 2023

% Result   : Theorem 0.48s 0.93s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   60 (  22 unt;  17 typ;   0 def)
%            Number of atoms       :  112 (   9 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  377 (  46   ~;  44   |;  16   &; 262   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   55 (   0   ^;  52   !;   3   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(uri_owl_oneOf_type,type,
    uri_owl_oneOf: $i ).

thf(uri_rdf_List_type,type,
    uri_rdf_List: $i ).

thf(uri_ex_c2_type,type,
    uri_ex_c2: $i ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(uri_ex_c1_type,type,
    uri_ex_c1: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

thf(uri_rdf_first_type,type,
    uri_rdf_first: $i ).

thf(uri_ex_u_type,type,
    uri_ex_u: $i ).

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

thf(uri_rdf_rest_type,type,
    uri_rdf_rest: $i ).

thf(uri_ex_w_type,type,
    uri_ex_w: $i ).

thf(uri_rdf_nil_type,type,
    uri_rdf_nil: $i ).

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_cl118,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdfs_subClassOf @ X0 @ X1 )
      | ~ ( icext @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).

thf(conclusion_rdfbased_sem_rdfsext_subclass_ext,conjecture,
    iext @ uri_rdfs_subClassOf @ uri_ex_c1 @ uri_ex_c2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c1 @ uri_ex_c2 ),
    inference('cnf.neg',[status(esa)],[conclusion_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl138,plain,
    ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1754,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ~ ( icext @ uri_ex_c2 @ ( sk__8 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl138]) ).

thf(premise_rdfbased_sem_rdfsext_subclass_ext,axiom,
    ? [X0: $i,X1: $i,X2: $i] :
      ( ( iext @ uri_rdf_rest @ X1 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X1 @ uri_ex_u )
      & ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X2 @ uri_ex_w )
      & ( iext @ uri_owl_oneOf @ uri_ex_c1 @ X2 )
      & ( iext @ uri_rdf_rest @ X0 @ X1 )
      & ( iext @ uri_rdf_first @ X0 @ uri_ex_w )
      & ( iext @ uri_owl_oneOf @ uri_ex_c2 @ X0 ) ) ).

thf(zip_derived_cl132,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__11,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(owl_prop_oneof_ext,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_oneOf @ X @ Y )
     => ( ( ic @ X )
        & ( icext @ uri_rdf_List @ Y ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( ic @ X0 )
      | ~ ( iext @ uri_owl_oneOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_oneof_ext]) ).

thf(zip_derived_cl410,plain,
    ic @ uri_ex_c1,
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl74]) ).

thf(zip_derived_cl133,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__9,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl74_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ic @ X0 )
      | ~ ( iext @ uri_owl_oneOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_oneof_ext]) ).

thf(zip_derived_cl441,plain,
    ic @ uri_ex_c2,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl74]) ).

thf(zip_derived_cl131,plain,
    iext @ uri_rdf_first @ sk__11 @ uri_ex_w,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdfs_subClassOf @ X0 @ X1 )
      | ( icext @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).

thf(zip_derived_cl138_002,plain,
    ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl775,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ( icext @ uri_ex_c1 @ ( sk__8 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl138]) ).

thf(zip_derived_cl410_003,plain,
    ic @ uri_ex_c1,
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl74]) ).

thf(zip_derived_cl441_004,plain,
    ic @ uri_ex_c2,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl74]) ).

thf(zip_derived_cl778,plain,
    icext @ uri_ex_c1 @ ( sk__8 @ uri_ex_c2 @ uri_ex_c1 ),
    inference(demod,[status(thm)],[zip_derived_cl775,zip_derived_cl410,zip_derived_cl441]) ).

thf(zip_derived_cl132_005,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__11,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl130,plain,
    iext @ uri_rdf_rest @ sk__11 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(owl_enum_class_001,axiom,
    ! [Z: $i,S1: $i,A1: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ A1 )
        & ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_oneOf @ Z @ S1 )
      <=> ( ( ic @ Z )
          & ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( X = A1 ) ) ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ~ ( icext @ X2 @ X3 )
      | ( X3 = X1 )
      | ~ ( iext @ uri_owl_oneOf @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_enum_class_001]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__11 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__11 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl81]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__11 @ X0 )
      | ~ ( icext @ uri_ex_c1 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl360]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ uri_ex_c2 @ uri_ex_c1 )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__11 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl778,zip_derived_cl414]) ).

thf(zip_derived_cl930,plain,
    ( ( sk__8 @ uri_ex_c2 @ uri_ex_c1 )
    = uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl781]) ).

thf(zip_derived_cl134,plain,
    iext @ uri_rdf_first @ sk__9 @ uri_ex_w,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl136,plain,
    iext @ uri_rdf_first @ sk__10 @ uri_ex_u,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl137,plain,
    iext @ uri_rdf_rest @ sk__10 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl133_006,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__9,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(owl_enum_class_002,axiom,
    ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ A1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ A2 )
        & ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_oneOf @ Z @ S1 )
      <=> ( ( ic @ Z )
          & ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( ( X = A1 )
                | ( X = A2 ) ) ) ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ( X4 != X2 )
      | ( icext @ X5 @ X4 )
      | ~ ( iext @ uri_owl_oneOf @ X5 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_enum_class_002]) ).

thf(zip_derived_cl1430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X1 @ X0 )
      | ( icext @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X4 @ X3 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X2 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ X4 )
      | ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl1433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ sk__9 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X1 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X2 )
      | ( icext @ uri_ex_c2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl1430]) ).

thf(zip_derived_cl1437,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ uri_ex_c2 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__10 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X0 )
      | ~ ( iext @ uri_rdf_rest @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl1433]) ).

thf(zip_derived_cl135,plain,
    iext @ uri_rdf_rest @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_rdfsext_subclass_ext]) ).

thf(zip_derived_cl1439,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ uri_ex_c2 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__10 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl135]) ).

thf(zip_derived_cl1440,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__9 @ X0 )
      | ( icext @ uri_ex_c2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl1439]) ).

thf(zip_derived_cl1441,plain,
    icext @ uri_ex_c2 @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1440]) ).

thf(zip_derived_cl1769,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1754,zip_derived_cl410,zip_derived_cl441,zip_derived_cl930,zip_derived_cl1441]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : SWB079+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.08  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QSxHxLifmv true
% 0.07/0.26  % Computer : n002.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Sun Aug 27 07:00:18 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Running portfolio for 300 s
% 0.07/0.26  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27  % Number of cores: 8
% 0.07/0.27  % Python version: Python 3.6.8
% 0.07/0.27  % Running in FO mode
% 0.11/0.58  % Total configuration time : 435
% 0.11/0.58  % Estimated wc time : 1092
% 0.11/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.11/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.11/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.11/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.48/0.93  % Solved by fo/fo7.sh.
% 0.48/0.93  % done 848 iterations in 0.234s
% 0.48/0.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.93  % SZS output start Refutation
% See solution above
% 0.48/0.93  
% 0.48/0.93  
% 0.48/0.93  % Terminating...
% 1.64/0.98  % Runner terminated.
% 1.64/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------