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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB026+2 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HBUDma1bwz true

% Computer : n019.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 04:58:03 PM UTC 2025

% Result   : Theorem 0.48s 0.74s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   51 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  107 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  331 (  38   ~;  36   |;  12   &; 237   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  15 con; 0-3 aty)
%            Number of variables   :   55 (   0   ^;  51   !;   4   ?;  55   :)

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

thf(sk__6_type,type,
    sk__6: $i ).

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

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

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

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

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

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

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

thf(sk__1_type,type,
    sk__1: $i > $i ).

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

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

thf(sk__2_type,type,
    sk__2: $i > $i ).

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

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

thf(uri_rdf_Property_type,type,
    uri_rdf_Property: $i ).

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

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

thf(uri_rdfs_range_type,type,
    uri_rdfs_range: $i ).

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

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

thf(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
    ? [BNODE_x1: $i,BNODE_x2: $i,BNODE_l1: $i,BNODE_l2: $i] :
      ( ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_u )
      & ( iext @ uri_owl_oneOf @ BNODE_x2 @ BNODE_l2 )
      & ( iext @ uri_rdfs_range @ uri_ex_p @ BNODE_x2 )
      & ( iext @ uri_rdf_rest @ BNODE_l1 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_w )
      & ( iext @ uri_owl_oneOf @ BNODE_x1 @ BNODE_l1 )
      & ( iext @ uri_rdfs_domain @ uri_ex_p @ BNODE_x1 ) ) ).

thf(zip_derived_cl22,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_w,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_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_cl14,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__1 @ X0 ) @ ( sk__3 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl20,plain,
    iext @ uri_rdfs_domain @ uri_ex_p @ sk__4,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

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_cl4,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_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__4 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).

thf(zip_derived_cl97,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ sk__4 @ ( sk__1 @ uri_ex_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl31]) ).

thf(zip_derived_cl20_001,plain,
    iext @ uri_rdfs_domain @ uri_ex_p @ sk__4,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

thf(rdfs_domain_domain,axiom,
    iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property ).

thf(zip_derived_cl5,plain,
    iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
    inference(cnf,[status(esa)],[rdfs_domain_domain]) ).

thf(zip_derived_cl4_002,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_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdfs_domain @ X1 @ X0 )
      | ( icext @ uri_rdf_Property @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    icext @ uri_rdf_Property @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl25]) ).

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

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdf_type @ X0 @ X1 )
      | ~ ( icext @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(rdf_type_ip,axiom,
    ! [P: $i] :
      ( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
    <=> ( ip @ P ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ uri_rdf_type @ X0 @ uri_rdf_Property ) ),
    inference(cnf,[status(esa)],[rdf_type_ip]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_rdf_Property @ X0 )
      | ( ip @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl42,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdf_type @ X0 @ X1 )
      | ~ ( icext @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,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_026_Inferred_Property_Characteristics_I]) ).

thf(zip_derived_cl16,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl99,plain,
    icext @ sk__4 @ ( sk__1 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl42,zip_derived_cl39]) ).

thf(zip_derived_cl21,plain,
    iext @ uri_owl_oneOf @ sk__4 @ sk__6,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

thf(zip_derived_cl23,plain,
    iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

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_cl7,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_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__6 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ~ ( icext @ sk__4 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl45]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).

thf(zip_derived_cl101,plain,
    ( ( sk__1 @ uri_ex_p )
    = uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl100]) ).

thf(zip_derived_cl22_004,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_w,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( iext @ X0 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl31_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__4 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).

thf(zip_derived_cl62,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p )
    | ( icext @ sk__4 @ ( sk__2 @ uri_ex_p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl31]) ).

thf(zip_derived_cl42_006,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl39_007,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl63,plain,
    icext @ sk__4 @ ( sk__2 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl42,zip_derived_cl39]) ).

thf(zip_derived_cl47_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ~ ( icext @ sk__4 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl45]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl47]) ).

thf(zip_derived_cl65,plain,
    ( ( sk__2 @ uri_ex_p )
    = uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl64]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ X0 )
      | ( ( sk__1 @ X0 )
       != ( sk__2 @ X0 ) )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

thf(zip_derived_cl68,plain,
    ( ( ( sk__1 @ uri_ex_p )
     != uri_ex_w )
    | ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl15]) ).

thf(zip_derived_cl42_009,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl39_010,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl70,plain,
    ( ( sk__1 @ uri_ex_p )
   != uri_ex_w ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl42,zip_derived_cl39]) ).

thf(zip_derived_cl102,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl101,zip_derived_cl70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWB026+2 : TPTP v9.2.0. Released v5.2.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HBUDma1bwz true
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 12:15:23 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.45/0.60  % Total configuration time : 435
% 0.45/0.60  % Estimated wc time : 1092
% 0.45/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.74  % Solved by fo/fo7.sh.
% 0.48/0.74  % done 70 iterations in 0.038s
% 0.48/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.74  % SZS output start Refutation
% See solution above
% 0.48/0.74  
% 0.48/0.74  
% 0.48/0.74  % Terminating...
% 0.51/0.79  % Runner terminated.
% 0.51/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------