TSTP Solution File: SWB063+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB063+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.WevR8Vx7JL 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 20:16:19 EDT 2023

% Result   : Theorem 1.31s 0.83s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   71 (  27 unt;  15 typ;   0 def)
%            Number of atoms       :  130 (  16 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  443 (  55   ~;  58   |;  10   &; 314   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  12 con; 0-3 aty)
%            Number of variables   :   53 (   0   ^;  51   !;   2   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uri_owl_oneOf_type,type,
    uri_owl_oneOf: $i ).

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

thf(uri_rdf_List_type,type,
    uri_rdf_List: $i ).

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

thf(uri_ex_c2_type,type,
    uri_ex_c2: $i ).

thf(uri_ex_c1_type,type,
    uri_ex_c1: $i ).

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

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

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

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

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

thf(owl_eqdis_equivalentclass,axiom,
    ! [C1: $i,C2: $i] :
      ( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
    <=> ( ( ic @ C1 )
        & ( ic @ C2 )
        & ! [X: $i] :
            ( ( icext @ C1 @ X )
          <=> ( icext @ C2 @ X ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_owl_equivalentClass @ X0 @ X1 )
      | ~ ( icext @ X0 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( icext @ X1 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).

thf(conclusion_rdfbased_sem_eqdis_eqclass_ext,conjecture,
    iext @ uri_owl_equivalentClass @ uri_ex_c1 @ uri_ex_c2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_owl_equivalentClass @ uri_ex_c1 @ uri_ex_c2 ),
    inference('cnf.neg',[status(esa)],[conclusion_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl57,plain,
    ~ ( iext @ uri_owl_equivalentClass @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ~ ( icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) )
    | ~ ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl57]) ).

thf(premise_rdfbased_sem_eqdis_eqclass_ext,axiom,
    ? [X0: $i,X1: $i] :
      ( ( iext @ uri_rdf_rest @ X1 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X1 @ uri_ex_x )
      & ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X0 @ uri_ex_x )
      & ( iext @ uri_owl_oneOf @ uri_ex_c1 @ X1 )
      & ( iext @ uri_owl_oneOf @ uri_ex_c2 @ X0 ) ) ).

thf(zip_derived_cl53,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__6,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(owl_prop_oneof_ext,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_oneOf @ X @ Y )
     => ( ( ic @ X )
        & ( icext @ uri_rdf_List @ Y ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( ic @ X0 )
      | ~ ( iext @ uri_owl_oneOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_oneof_ext]) ).

thf(zip_derived_cl66,plain,
    ic @ uri_ex_c1,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl14]) ).

thf(zip_derived_cl54,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__5,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl14_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ic @ X0 )
      | ~ ( iext @ uri_owl_oneOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_oneof_ext]) ).

thf(zip_derived_cl81,plain,
    ic @ uri_ex_c2,
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl14]) ).

thf(zip_derived_cl235,plain,
    ( ~ ( icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) )
    | ~ ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl66,zip_derived_cl81]) ).

thf(zip_derived_cl52,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl55,plain,
    iext @ uri_rdf_first @ sk__5 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_owl_equivalentClass @ X0 @ X1 )
      | ( icext @ X0 @ ( sk__4 @ X1 @ X0 ) )
      | ( icext @ X1 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).

thf(zip_derived_cl57_002,plain,
    ~ ( iext @ uri_owl_equivalentClass @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ( icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) )
    | ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl57]) ).

thf(zip_derived_cl66_003,plain,
    ic @ uri_ex_c1,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl14]) ).

thf(zip_derived_cl81_004,plain,
    ic @ uri_ex_c2,
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl14]) ).

thf(zip_derived_cl255,plain,
    ( ( icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) )
    | ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl66,zip_derived_cl81]) ).

thf(zip_derived_cl54_005,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__5,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl56,plain,
    iext @ uri_rdf_rest @ sk__5 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_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_cl22,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_cl122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__5 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__5 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl22]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__5 @ X0 )
      | ~ ( icext @ uri_ex_c2 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl122]) ).

thf(zip_derived_cl258,plain,
    ! [X0: $i] :
      ( ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) )
      | ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl124]) ).

thf(zip_derived_cl268,plain,
    ( ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
      = uri_ex_x )
    | ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl258]) ).

thf(zip_derived_cl53_006,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__6,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl51,plain,
    iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl22_007,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_cl123,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_cl51,zip_derived_cl22]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ~ ( icext @ uri_ex_c1 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl123]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
        = uri_ex_x )
      | ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
        = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl127]) ).

thf(zip_derived_cl302,plain,
    ( ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
      = uri_ex_x )
    | ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
      = uri_ex_x ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl271]) ).

thf(zip_derived_cl303,plain,
    ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
    = uri_ex_x ),
    inference(simplify,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl55_008,plain,
    iext @ uri_rdf_first @ sk__5 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl54_009,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__5,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ( X2 != X1 )
      | ( icext @ X3 @ X2 )
      | ~ ( iext @ uri_owl_oneOf @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_enum_class_001]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X1 @ X0 )
      | ( icext @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X2 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__5 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ sk__5 @ X0 )
      | ( icext @ uri_ex_c2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl160]) ).

thf(zip_derived_cl56_010,plain,
    iext @ uri_rdf_rest @ sk__5 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__5 @ X0 )
      | ( icext @ uri_ex_c2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl56]) ).

thf(zip_derived_cl167,plain,
    icext @ uri_ex_c2 @ uri_ex_x,
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl165]) ).

thf(zip_derived_cl303_011,plain,
    ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
    = uri_ex_x ),
    inference(simplify,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl52_012,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl53_013,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__6,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl160_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X1 @ X0 )
      | ( icext @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X2 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ( icext @ uri_ex_c1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl160]) ).

thf(zip_derived_cl51_015,plain,
    iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_eqclass_ext]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__6 @ X0 )
      | ( icext @ uri_ex_c1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl51]) ).

thf(zip_derived_cl166,plain,
    icext @ uri_ex_c1 @ uri_ex_x,
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl164]) ).

thf(zip_derived_cl304,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl303,zip_derived_cl167,zip_derived_cl303,zip_derived_cl166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWB063+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WevR8Vx7JL true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 07:35:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.75/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.75/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/0.83  % Solved by fo/fo7.sh.
% 1.31/0.83  % done 160 iterations in 0.072s
% 1.31/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.83  % SZS output start Refutation
% See solution above
% 1.31/0.83  
% 1.31/0.83  
% 1.31/0.83  % Terminating...
% 1.52/0.86  % Runner terminated.
% 1.52/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------