TSTP Solution File: SWB046+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB046+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.jpFx5XqwQU 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 20:16:15 EDT 2023

% Result   : Theorem 1.31s 0.93s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   63 (  21 unt;  19 typ;   0 def)
%            Number of atoms       :   92 (  13 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  280 (  33   ~;  31   |;   9   &; 199   @)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  13 con; 0-3 aty)
%            Number of variables   :   48 (   0   ^;  46   !;   2   ?;  48   :)

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

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

thf(uri_ex_y_type,type,
    uri_ex_y: $i ).

thf(uri_rdfs_domain_type,type,
    uri_rdfs_domain: $i ).

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

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__10_type,type,
    sk__10: $i > $i ).

thf(uri_owl_InverseFunctionalProperty_type,type,
    uri_owl_InverseFunctionalProperty: $i ).

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

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

thf(uri_ex_x_type,type,
    uri_ex_x: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

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

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

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

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

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

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

thf(premise_rdfbased_sem_char_inversefunc_ext,axiom,
    ? [X1: $i,X0: $i] :
      ( ( iext @ uri_rdfs_domain @ uri_ex_p @ X1 )
      & ( iext @ uri_ex_p @ uri_ex_x @ uri_ex_y )
      & ( iext @ uri_owl_oneOf @ X1 @ X0 )
      & ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X0 @ uri_ex_x ) ) ).

thf(zip_derived_cl124,plain,
    iext @ uri_rdf_first @ sk__13 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_ext]) ).

thf(owl_char_inversefunctional,axiom,
    ! [P: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ P )
    <=> ( ( ip @ P )
        & ! [X1: $i,X2: $i,Y: $i] :
            ( ( ( iext @ P @ X1 @ Y )
              & ( iext @ P @ X2 @ Y ) )
           => ( X1 = X2 ) ) ) ) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__9 @ X0 ) @ ( sk__11 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl126,plain,
    iext @ uri_rdfs_domain @ uri_ex_p @ sk__12,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_ext]) ).

thf(rdfs_domain_main,axiom,
    ! [P: $i,C: $i,X: $i,Y: $i] :
      ( ( ( iext @ uri_rdfs_domain @ P @ C )
        & ( iext @ P @ X @ Y ) )
     => ( icext @ C @ X ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdfs_domain @ X2 @ X0 )
      | ~ ( iext @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[rdfs_domain_main]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl19]) ).

thf(zip_derived_cl565,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ sk__12 @ ( sk__9 @ uri_ex_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl247]) ).

thf(zip_derived_cl125,plain,
    iext @ uri_ex_p @ uri_ex_x @ uri_ex_y,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_ext]) ).

thf(simple_iext_property,axiom,
    ! [S: $i,P: $i,O: $i] :
      ( ( iext @ P @ S @ O )
     => ( ip @ P ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[simple_iext_property]) ).

thf(zip_derived_cl233,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl0]) ).

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

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdf_type @ X0 @ X1 )
      | ~ ( icext @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(conclusion_rdfbased_sem_char_inversefunc_ext,conjecture,
    iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
    inference('cnf.neg',[status(esa)],[conclusion_rdfbased_sem_char_inversefunc_ext]) ).

thf(zip_derived_cl127,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl371,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl127]) ).

thf(zip_derived_cl567,plain,
    icext @ sk__12 @ ( sk__9 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl233,zip_derived_cl371]) ).

thf(zip_derived_cl122,plain,
    iext @ uri_owl_oneOf @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_ext]) ).

thf(zip_derived_cl123,plain,
    iext @ uri_rdf_rest @ sk__13 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_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_cl84,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_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__13 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__13 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl84]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__13 @ X0 )
      | ~ ( icext @ sk__12 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl332]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i] :
      ( ( ( sk__9 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__13 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl333]) ).

thf(zip_derived_cl572,plain,
    ( ( sk__9 @ uri_ex_p )
    = uri_ex_x ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl570]) ).

thf(zip_derived_cl124_001,plain,
    iext @ uri_rdf_first @ sk__13 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_ext]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl247_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl19]) ).

thf(zip_derived_cl505,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ sk__12 @ ( sk__10 @ uri_ex_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl247]) ).

thf(zip_derived_cl233_003,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl0]) ).

thf(zip_derived_cl371_004,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl127]) ).

thf(zip_derived_cl507,plain,
    icext @ sk__12 @ ( sk__10 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl233,zip_derived_cl371]) ).

thf(zip_derived_cl333_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__13 @ X0 )
      | ~ ( icext @ sk__12 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl332]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i] :
      ( ( ( sk__10 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__13 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl333]) ).

thf(zip_derived_cl512,plain,
    ( ( sk__10 @ uri_ex_p )
    = uri_ex_x ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl510]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( ( sk__9 @ X0 )
       != ( sk__10 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl515,plain,
    ( ( ( sk__9 @ uri_ex_p )
     != uri_ex_x )
    | ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl121]) ).

thf(zip_derived_cl233_006,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl0]) ).

thf(zip_derived_cl371_007,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl127]) ).

thf(zip_derived_cl517,plain,
    ( ( sk__9 @ uri_ex_p )
   != uri_ex_x ),
    inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl233,zip_derived_cl371]) ).

thf(zip_derived_cl573,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl572,zip_derived_cl517]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWB046+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jpFx5XqwQU true
% 0.16/0.37  % Computer : n031.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun Aug 27 07:51:54 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.24/0.64  % Total configuration time : 435
% 0.24/0.64  % Estimated wc time : 1092
% 0.24/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.99/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.99/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.93  % Solved by fo/fo7.sh.
% 1.31/0.93  % done 408 iterations in 0.110s
% 1.31/0.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.93  % SZS output start Refutation
% See solution above
% 1.31/0.93  
% 1.31/0.93  
% 1.31/0.93  % Terminating...
% 1.45/0.98  % Runner terminated.
% 1.45/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------