TSTP Solution File: SWB027+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB027+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.CZ3QIgWKOE true

% Computer : n022.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 20:16:08 EDT 2023

% Result   : Theorem 1.35s 0.82s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   63 (  16 unt;  18 typ;   0 def)
%            Number of atoms       :  131 (   7 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  477 (  50   ~;  61   |;  16   &; 341   @)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;  13 con; 0-3 aty)
%            Number of variables   :   77 (   0   ^;  74   !;   3   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uri_rdf_first_type,type,
    uri_rdf_first: $i ).

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

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

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

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

thf(uri_owl_inverseOf_type,type,
    uri_owl_inverseOf: $i ).

thf(uri_owl_propertyChainAxiom_type,type,
    uri_owl_propertyChainAxiom: $i ).

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

thf(uri_owl_sameAs_type,type,
    uri_owl_sameAs: $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

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

thf(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II,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)],[testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl22,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl13,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(testcase_premise_fullish_027_Inferred_Property_Characteristics_II,axiom,
    ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_v: $i] :
      ( ( iext @ uri_owl_inverseOf @ BNODE_v @ uri_ex_p )
      & ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_v )
      & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
      & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_p )
      & ( iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ BNODE_l1 ) ) ).

thf(zip_derived_cl25,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_owl_sameAs @ sk__8,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__3 @ X0 ) @ ( sk__5 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl23,plain,
    iext @ uri_owl_inverseOf @ sk__10 @ uri_ex_p,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(owl_inv,axiom,
    ! [P1: $i,P2: $i] :
      ( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
    <=> ( ( ip @ P1 )
        & ( ip @ P2 )
        & ! [X: $i,Y: $i] :
            ( ( iext @ P1 @ X @ Y )
          <=> ( iext @ P2 @ Y @ X ) ) ) ) ).

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

thf(zip_derived_cl274,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( iext @ sk__10 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl19]) ).

thf(zip_derived_cl24,plain,
    iext @ uri_rdf_first @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl26,plain,
    iext @ uri_rdf_first @ sk__8 @ uri_ex_p,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl27,plain,
    iext @ uri_rdf_rest @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl28,plain,
    iext @ uri_rdf_rest @ sk__9 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(owl_chain_002,axiom,
    ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ P1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ P2 )
        & ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
      <=> ( ( ip @ P )
          & ( ip @ P1 )
          & ( ip @ P2 )
          & ! [Y0: $i,Y1: $i,Y2: $i] :
              ( ( ( iext @ P1 @ Y0 @ Y1 )
                & ( iext @ P2 @ Y1 @ Y2 ) )
             => ( iext @ P @ Y0 @ Y2 ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $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 )
      | ( iext @ X4 @ X5 @ X6 )
      | ~ ( iext @ X3 @ X7 @ X6 )
      | ~ ( iext @ X2 @ X5 @ X7 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_chain_002]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ sk__9 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X2 )
      | ( iext @ X5 @ X4 @ X3 )
      | ~ ( iext @ X2 @ X6 @ X3 )
      | ~ ( iext @ X1 @ X4 @ X6 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X5 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl7]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__8 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X1 )
      | ( iext @ X4 @ X3 @ X2 )
      | ~ ( iext @ X1 @ X5 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X5 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl265]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__9 @ X0 )
      | ( iext @ X3 @ X2 @ X1 )
      | ~ ( iext @ X0 @ X4 @ X1 )
      | ~ ( iext @ uri_ex_p @ X2 @ X4 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X3 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl289]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( iext @ X2 @ X1 @ X0 )
      | ~ ( iext @ sk__10 @ X3 @ X0 )
      | ~ ( iext @ uri_ex_p @ X1 @ X3 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X2 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl314]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_ex_p @ X0 @ X1 )
      | ( iext @ X3 @ X2 @ X0 )
      | ~ ( iext @ uri_ex_p @ X2 @ X1 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X3 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl317]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ip @ uri_ex_p )
      | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
      | ( iext @ X1 @ X0 @ ( sk__3 @ uri_ex_p ) )
      | ~ ( iext @ uri_ex_p @ X0 @ ( sk__5 @ uri_ex_p ) )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X1 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl326]) ).

thf(zip_derived_cl23_001,plain,
    iext @ uri_owl_inverseOf @ sk__10 @ uri_ex_p,
    inference(cnf,[status(esa)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ uri_owl_inverseOf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_inv]) ).

thf(zip_derived_cl259,plain,
    ip @ uri_ex_p,
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
      | ( iext @ X1 @ X0 @ ( sk__3 @ uri_ex_p ) )
      | ~ ( iext @ uri_ex_p @ X0 @ ( sk__5 @ uri_ex_p ) )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X1 @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl259]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
      | ( iext @ uri_owl_sameAs @ X0 @ ( sk__3 @ uri_ex_p ) )
      | ~ ( iext @ uri_ex_p @ X0 @ ( sk__5 @ uri_ex_p ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl340]) ).

thf(zip_derived_cl418,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( iext @ uri_owl_sameAs @ ( sk__4 @ uri_ex_p ) @ ( sk__3 @ uri_ex_p ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl416]) ).

thf(zip_derived_cl259_002,plain,
    ip @ uri_ex_p,
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).

thf(zip_derived_cl421,plain,
    ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( iext @ uri_owl_sameAs @ ( sk__4 @ uri_ex_p ) @ ( sk__3 @ uri_ex_p ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl418,zip_derived_cl259]) ).

thf(zip_derived_cl422,plain,
    ( ( iext @ uri_owl_sameAs @ ( sk__4 @ uri_ex_p ) @ ( sk__3 @ uri_ex_p ) )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ) ),
    inference(simplify,[status(thm)],[zip_derived_cl421]) ).

thf(owl_eqdis_sameas,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_sameAs @ X @ Y )
    <=> ( X = Y ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( iext @ uri_owl_sameAs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_sameas]) ).

thf(zip_derived_cl427,plain,
    ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( ( sk__4 @ uri_ex_p )
      = ( sk__3 @ uri_ex_p ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl2]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( ( sk__3 @ X0 )
       != ( sk__4 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl430,plain,
    ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( ( sk__3 @ uri_ex_p )
     != ( sk__3 @ uri_ex_p ) )
    | ~ ( ip @ uri_ex_p ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl15]) ).

thf(zip_derived_cl259_003,plain,
    ip @ uri_ex_p,
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).

thf(zip_derived_cl434,plain,
    ( ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( ( sk__3 @ uri_ex_p )
     != ( sk__3 @ uri_ex_p ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl259]) ).

thf(zip_derived_cl435,plain,
    icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p,
    inference(simplify,[status(thm)],[zip_derived_cl434]) ).

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

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_cl437,plain,
    iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty,
    inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl1]) ).

thf(zip_derived_cl440,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl437]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CZ3QIgWKOE true
% 0.16/0.34  % Computer : n022.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sun Aug 27 07:32:10 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.82  % Solved by fo/fo6_bce.sh.
% 1.35/0.82  % BCE start: 29
% 1.35/0.82  % BCE eliminated: 0
% 1.35/0.82  % PE start: 29
% 1.35/0.82  logic: eq
% 1.35/0.82  % PE eliminated: 0
% 1.35/0.82  % done 97 iterations in 0.073s
% 1.35/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.82  % SZS output start Refutation
% See solution above
% 1.35/0.83  
% 1.35/0.83  
% 1.35/0.83  % Terminating...
% 1.35/0.87  % Runner terminated.
% 1.35/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------