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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB047+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qLOZSMLVnI true

% Computer : n010.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 Oct  2 04:58:07 PM UTC 2025

% Result   : Theorem 0.58s 0.90s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   39 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   80 (   9 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  252 (  27   ~;  25   |;   8   &; 184   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

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

thf(uri_ex_p1_type,type,
    uri_ex_p1: $i ).

thf(uri_owl_FunctionalProperty_type,type,
    uri_owl_FunctionalProperty: $i ).

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

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

thf(uri_ex_p2_type,type,
    uri_ex_p2: $i ).

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

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

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

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

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

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

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_cl108,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__10 @ X0 ) @ ( sk__12 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(premise_rdfbased_sem_char_inversefunc_term,axiom,
    ( ( iext @ uri_rdf_type @ uri_ex_p1 @ uri_owl_FunctionalProperty )
    & ( iext @ uri_owl_inverseOf @ uri_ex_p2 @ uri_ex_p1 ) ) ).

thf(zip_derived_cl111,plain,
    iext @ uri_owl_inverseOf @ uri_ex_p2 @ uri_ex_p1,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_term]) ).

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_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ X0 @ X1 @ X2 )
      | ( iext @ X3 @ X2 @ X1 )
      | ~ ( iext @ uri_owl_inverseOf @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_inv]) ).

thf(zip_derived_cl342,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_ex_p1 @ X1 @ X0 )
      | ~ ( iext @ uri_ex_p2 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl96]) ).

thf(zip_derived_cl672,plain,
    ( ~ ( ip @ uri_ex_p2 )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 )
    | ( iext @ uri_ex_p1 @ ( sk__12 @ uri_ex_p2 ) @ ( sk__10 @ uri_ex_p2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl342]) ).

thf(zip_derived_cl111_001,plain,
    iext @ uri_owl_inverseOf @ uri_ex_p2 @ uri_ex_p1,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_term]) ).

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

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ uri_owl_inverseOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_inverseof_ext]) ).

thf(zip_derived_cl214,plain,
    ip @ uri_ex_p2,
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).

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_term,conjecture,
    iext @ uri_rdf_type @ uri_ex_p2 @ uri_owl_InverseFunctionalProperty ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_rdf_type @ uri_ex_p2 @ uri_owl_InverseFunctionalProperty ),
    inference('cnf.neg',[status(esa)],[conclusion_rdfbased_sem_char_inversefunc_term]) ).

thf(zip_derived_cl112,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_p2 @ uri_owl_InverseFunctionalProperty ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl112]) ).

thf(zip_derived_cl673,plain,
    iext @ uri_ex_p1 @ ( sk__12 @ uri_ex_p2 ) @ ( sk__10 @ uri_ex_p2 ),
    inference(demod,[status(thm)],[zip_derived_cl672,zip_derived_cl214,zip_derived_cl275]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__11 @ X0 ) @ ( sk__12 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl342_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_ex_p1 @ X1 @ X0 )
      | ~ ( iext @ uri_ex_p2 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl96]) ).

thf(zip_derived_cl662,plain,
    ( ~ ( ip @ uri_ex_p2 )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 )
    | ( iext @ uri_ex_p1 @ ( sk__12 @ uri_ex_p2 ) @ ( sk__11 @ uri_ex_p2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl342]) ).

thf(zip_derived_cl214_003,plain,
    ip @ uri_ex_p2,
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).

thf(zip_derived_cl275_004,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl112]) ).

thf(zip_derived_cl663,plain,
    iext @ uri_ex_p1 @ ( sk__12 @ uri_ex_p2 ) @ ( sk__11 @ uri_ex_p2 ),
    inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl214,zip_derived_cl275]) ).

thf(zip_derived_cl110,plain,
    iext @ uri_rdf_type @ uri_ex_p1 @ uri_owl_FunctionalProperty,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_char_inversefunc_term]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl206,plain,
    icext @ uri_owl_FunctionalProperty @ uri_ex_p1,
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl10]) ).

thf(owl_char_functional,axiom,
    ! [P: $i] :
      ( ( icext @ uri_owl_FunctionalProperty @ P )
    <=> ( ( ip @ P )
        & ! [X: $i,Y1: $i,Y2: $i] :
            ( ( ( iext @ P @ X @ Y1 )
              & ( iext @ P @ X @ Y2 ) )
           => ( Y1 = Y2 ) ) ) ) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( iext @ X2 @ X3 @ X0 )
      | ~ ( iext @ X2 @ X3 @ X1 )
      | ~ ( icext @ uri_owl_FunctionalProperty @ X2 ) ),
    inference(cnf,[status(esa)],[owl_char_functional]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_ex_p1 @ X1 @ X0 )
      | ~ ( iext @ uri_ex_p1 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl101]) ).

thf(zip_derived_cl666,plain,
    ! [X0: $i] :
      ( ( ( sk__11 @ uri_ex_p2 )
        = X0 )
      | ~ ( iext @ uri_ex_p1 @ ( sk__12 @ uri_ex_p2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl226]) ).

thf(zip_derived_cl679,plain,
    ( ( sk__11 @ uri_ex_p2 )
    = ( sk__10 @ uri_ex_p2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl666]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( ( sk__10 @ X0 )
       != ( sk__11 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl687,plain,
    ( ( ( sk__10 @ uri_ex_p2 )
     != ( sk__10 @ uri_ex_p2 ) )
    | ~ ( ip @ uri_ex_p2 )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl109]) ).

thf(zip_derived_cl214_005,plain,
    ip @ uri_ex_p2,
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).

thf(zip_derived_cl275_006,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p2 ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl112]) ).

thf(zip_derived_cl689,plain,
    ( ( sk__10 @ uri_ex_p2 )
   != ( sk__10 @ uri_ex_p2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl687,zip_derived_cl214,zip_derived_cl275]) ).

thf(zip_derived_cl690,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl689]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB047+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qLOZSMLVnI true
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 12:13:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.56/0.65  % Total configuration time : 435
% 0.56/0.65  % Estimated wc time : 1092
% 0.56/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.90  % Solved by fo/fo7.sh.
% 0.58/0.90  % done 463 iterations in 0.129s
% 0.58/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.90  % SZS output start Refutation
% See solution above
% 0.58/0.90  
% 0.58/0.90  
% 0.58/0.90  % Terminating...
% 0.58/0.95  % Runner terminated.
% 0.58/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------