TSTP Solution File: SWB026+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB026+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.jgj9gK2cvh true

% Computer : n005.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 20:16:07 EDT 2023

% Result   : Theorem 1.02s 0.88s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   64 (  21 unt;  20 typ;   0 def)
%            Number of atoms       :   98 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  301 (  33   ~;  31   |;  14   &; 214   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  14 con; 0-3 aty)
%            Number of variables   :   50 (   0   ^;  46   !;   4   ?;  50   :)

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

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

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

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

thf(sk__14_type,type,
    sk__14: $i ).

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

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

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

thf(uri_ex_p_type,type,
    uri_ex_p: $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_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_type_type,type,
    uri_rdf_type: $i ).

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

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(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_cl127,plain,
    iext @ uri_rdf_first @ sk__14 @ 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_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_cl125,plain,
    iext @ uri_rdfs_domain @ uri_ex_p @ sk__12,
    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_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_cl261,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl19]) ).

thf(zip_derived_cl577,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_cl261]) ).

thf(zip_derived_cl125_001,plain,
    iext @ uri_rdfs_domain @ uri_ex_p @ sk__12,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

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

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ uri_rdfs_domain @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_domain]) ).

thf(zip_derived_cl238,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl107]) ).

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(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_cl130,plain,
    ~ ( iext @ uri_rdf_type @ uri_ex_p @ uri_owl_InverseFunctionalProperty ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl381,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl130]) ).

thf(zip_derived_cl582,plain,
    icext @ sk__12 @ ( sk__9 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl238,zip_derived_cl381]) ).

thf(zip_derived_cl126,plain,
    iext @ uri_owl_oneOf @ sk__12 @ sk__14,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

thf(zip_derived_cl128,plain,
    iext @ uri_rdf_rest @ sk__14 @ 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_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_cl365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__14 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl84]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__14 @ X0 )
      | ~ ( icext @ sk__12 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl365]) ).

thf(zip_derived_cl586,plain,
    ! [X0: $i] :
      ( ( ( sk__9 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl458]) ).

thf(zip_derived_cl592,plain,
    ( ( sk__9 @ uri_ex_p )
    = uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl586]) ).

thf(zip_derived_cl127_002,plain,
    iext @ uri_rdf_first @ sk__14 @ uri_ex_w,
    inference(cnf,[status(esa)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I]) ).

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_cl261_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p @ X1 @ X0 )
      | ( icext @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl19]) ).

thf(zip_derived_cl531,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_cl261]) ).

thf(zip_derived_cl238_004,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl107]) ).

thf(zip_derived_cl381_005,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl130]) ).

thf(zip_derived_cl534,plain,
    icext @ sk__12 @ ( sk__10 @ uri_ex_p ),
    inference(demod,[status(thm)],[zip_derived_cl531,zip_derived_cl238,zip_derived_cl381]) ).

thf(zip_derived_cl458_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__14 @ X0 )
      | ~ ( icext @ sk__12 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl365]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i] :
      ( ( ( sk__10 @ uri_ex_p )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl458]) ).

thf(zip_derived_cl544,plain,
    ( ( sk__10 @ uri_ex_p )
    = uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl538]) ).

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_cl548,plain,
    ( ( ( sk__9 @ uri_ex_p )
     != uri_ex_w )
    | ~ ( ip @ uri_ex_p )
    | ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl121]) ).

thf(zip_derived_cl238_007,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl107]) ).

thf(zip_derived_cl381_008,plain,
    ~ ( icext @ uri_owl_InverseFunctionalProperty @ uri_ex_p ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl130]) ).

thf(zip_derived_cl550,plain,
    ( ( sk__9 @ uri_ex_p )
   != uri_ex_w ),
    inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl238,zip_derived_cl381]) ).

thf(zip_derived_cl593,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl592,zip_derived_cl550]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jgj9gK2cvh true
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 06:22:08 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.71/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.71/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.71/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.71/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.02/0.88  % Solved by fo/fo7.sh.
% 1.02/0.88  % done 438 iterations in 0.101s
% 1.02/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.02/0.88  % SZS output start Refutation
% See solution above
% 1.02/0.88  
% 1.02/0.88  
% 1.02/0.88  % Terminating...
% 1.16/0.98  % Runner terminated.
% 1.16/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------