TSTP Solution File: SWB058+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB058+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O1xD4dd8oU true

% Computer : n023.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 20:16:18 EDT 2023

% Result   : Theorem 0.53s 0.77s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   61 (  24 unt;  17 typ;   0 def)
%            Number of atoms       :   95 (  14 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  288 (  38   ~;  33   |;  12   &; 199   @)
%                                         (   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     :   19 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  39   !;   2   ?;  41   :)

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

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

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

thf(uri_owl_differentFrom_type,type,
    uri_owl_differentFrom: $i ).

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

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

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

thf(conclusion_rdfbased_sem_eqdis_disclass_ext,conjecture,
    iext @ uri_owl_disjointWith @ uri_ex_c1 @ uri_ex_c2 ).

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

thf(zip_derived_cl62,plain,
    ~ ( iext @ uri_owl_disjointWith @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_owl_disjointWith @ X0 @ X1 )
      | ( icext @ X1 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_disjointwith]) ).

thf(zip_derived_cl433,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ( icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl53]) ).

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_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( ic @ X0 )
      | ~ ( iext @ uri_owl_oneOf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_oneof_ext]) ).

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

thf(zip_derived_cl61,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__5,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl408,plain,
    ic @ uri_ex_c1,
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl61]) ).

thf(zip_derived_cl17_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_cl57,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__6,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl409,plain,
    ic @ uri_ex_c2,
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl57]) ).

thf(zip_derived_cl434,plain,
    icext @ uri_ex_c2 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ),
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl408,zip_derived_cl409]) ).

thf(zip_derived_cl61_002,plain,
    iext @ uri_owl_oneOf @ uri_ex_c1 @ sk__5,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl58,plain,
    iext @ uri_rdf_first @ sk__5 @ uri_ex_x,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_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_cl25,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_cl436,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__5 )
      | ( X1 = uri_ex_x )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_rest @ sk__5 @ uri_rdf_nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl25]) ).

thf(zip_derived_cl59,plain,
    iext @ uri_rdf_rest @ sk__5 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl438,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__5 )
      | ( X1 = uri_ex_x )
      | ~ ( icext @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl59]) ).

thf(zip_derived_cl440,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_c1 @ X0 )
      | ( X0 = uri_ex_x ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl438]) ).

thf(zip_derived_cl62_003,plain,
    ~ ( iext @ uri_owl_disjointWith @ uri_ex_c1 @ uri_ex_c2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_owl_disjointWith @ X0 @ X1 )
      | ( icext @ X0 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( ic @ X1 )
      | ~ ( ic @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_disjointwith]) ).

thf(zip_derived_cl448,plain,
    ( ~ ( ic @ uri_ex_c1 )
    | ~ ( ic @ uri_ex_c2 )
    | ( icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl54]) ).

thf(zip_derived_cl408_004,plain,
    ic @ uri_ex_c1,
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl61]) ).

thf(zip_derived_cl409_005,plain,
    ic @ uri_ex_c2,
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl57]) ).

thf(zip_derived_cl449,plain,
    icext @ uri_ex_c1 @ ( sk__4 @ uri_ex_c2 @ uri_ex_c1 ),
    inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl408,zip_derived_cl409]) ).

thf(zip_derived_cl455,plain,
    ( ( sk__4 @ uri_ex_c2 @ uri_ex_c1 )
    = uri_ex_x ),
    inference('sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl449]) ).

thf(zip_derived_cl457,plain,
    icext @ uri_ex_c2 @ uri_ex_x,
    inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl455]) ).

thf(zip_derived_cl57_006,plain,
    iext @ uri_owl_oneOf @ uri_ex_c2 @ sk__6,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl56,plain,
    iext @ uri_rdf_first @ sk__6 @ uri_ex_y,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl25_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_cl437,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__6 )
      | ( X1 = uri_ex_y )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl25]) ).

thf(zip_derived_cl55,plain,
    iext @ uri_rdf_rest @ sk__6 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

thf(zip_derived_cl439,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__6 )
      | ( X1 = uri_ex_y )
      | ~ ( icext @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl55]) ).

thf(zip_derived_cl465,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_c2 @ X0 )
      | ( X0 = uri_ex_y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl439]) ).

thf(zip_derived_cl482,plain,
    uri_ex_x = uri_ex_y,
    inference('sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl465]) ).

thf(zip_derived_cl60,plain,
    iext @ uri_owl_differentFrom @ uri_ex_x @ uri_ex_y,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_eqdis_disclass_ext]) ).

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

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( iext @ uri_owl_differentFrom @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_differentfrom]) ).

thf(zip_derived_cl421,plain,
    uri_ex_x != uri_ex_y,
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl48]) ).

thf(zip_derived_cl483,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl482,zip_derived_cl421]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWB058+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O1xD4dd8oU true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 06:34:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.77  % Solved by fo/fo3_bce.sh.
% 0.53/0.77  % BCE start: 63
% 0.53/0.77  % BCE eliminated: 16
% 0.53/0.77  % PE start: 47
% 0.53/0.77  logic: eq
% 0.53/0.77  % PE eliminated: 0
% 0.53/0.77  % done 56 iterations in 0.061s
% 0.53/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.77  % SZS output start Refutation
% See solution above
% 0.53/0.77  
% 0.53/0.77  
% 0.53/0.77  % Terminating...
% 0.56/0.84  % Runner terminated.
% 0.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------