TSTP Solution File: SWB023+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB023+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.U4SSMj1366 true

% Computer : n001.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 20:16:04 EDT 2023

% Result   : Theorem 0.82s 0.82s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   50 (  14 unt;  17 typ;   0 def)
%            Number of atoms       :   73 (  13 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  227 (  25   ~;  21   |;  12   &; 162   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   39 (   0   ^;  37   !;   2   ?;  39   :)

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

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

thf(uri_ex_v_type,type,
    uri_ex_v: $i ).

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

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

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

thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

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

thf(uri_owl_Class_type,type,
    uri_owl_Class: $i ).

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

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

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

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

thf(uri_owl_sameAs_type,type,
    uri_owl_sameAs: $i ).

thf(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
    ( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
    & ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
      & ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) ),
    inference('cnf.neg',[status(esa)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
    | ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_v ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(testcase_premise_fullish_023_Unique_List_Components,axiom,
    ? [BNODE_o: $i,BNODE_l: $i] :
      ( ( iext @ uri_rdf_rest @ BNODE_l @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_v )
      & ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_u )
      & ( iext @ uri_owl_oneOf @ BNODE_o @ BNODE_l )
      & ( iext @ uri_rdf_type @ BNODE_o @ uri_owl_Class )
      & ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_o )
      & ( iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty ) ) ).

thf(zip_derived_cl82,plain,
    iext @ uri_rdf_first @ sk__9 @ uri_ex_v,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl83,plain,
    iext @ uri_rdf_first @ sk__9 @ uri_ex_u,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl85,plain,
    iext @ uri_rdf_type @ uri_rdf_first @ uri_owl_FunctionalProperty,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

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

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_cl139,plain,
    icext @ uri_owl_FunctionalProperty @ uri_rdf_first,
    inference('sup-',[status(thm)],[zip_derived_cl85,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_cl77,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_cl157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_first @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl77]) ).

thf(zip_derived_cl158,plain,
    ! [X0: $i] :
      ( ( uri_ex_u = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl157]) ).

thf(zip_derived_cl162,plain,
    uri_ex_u = uri_ex_v,
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl158]) ).

thf(zip_derived_cl164,plain,
    ( ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u )
    | ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u ) ),
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl162]) ).

thf(zip_derived_cl165,plain,
    ~ ( iext @ uri_owl_sameAs @ uri_ex_w @ uri_ex_u ),
    inference(simplify,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl83_001,plain,
    iext @ uri_rdf_first @ sk__9 @ uri_ex_u,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl86,plain,
    iext @ uri_rdf_type @ uri_ex_w @ sk__8,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl10_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl143,plain,
    icext @ sk__8 @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl10]) ).

thf(zip_derived_cl84,plain,
    iext @ uri_owl_oneOf @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

thf(zip_derived_cl81,plain,
    iext @ uri_rdf_rest @ sk__9 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_023_Unique_List_Components]) ).

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_cl51,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_cl180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_oneOf @ X0 @ sk__9 )
      | ( X1 = X2 )
      | ~ ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl51]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__9 @ X0 )
      | ~ ( icext @ sk__8 @ X1 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl180]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i] :
      ( ( uri_ex_w = X0 )
      | ~ ( iext @ uri_rdf_first @ sk__9 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl181]) ).

thf(zip_derived_cl183,plain,
    uri_ex_w = uri_ex_u,
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl182]) ).

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

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_owl_sameAs @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_sameas]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] : ( iext @ uri_owl_sameAs @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl187,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl183,zip_derived_cl121]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWB023+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U4SSMj1366 true
% 0.13/0.35  % Computer : n001.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 08:14:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.82/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.82/0.82  % Solved by fo/fo7.sh.
% 0.82/0.82  % done 131 iterations in 0.052s
% 0.82/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.82/0.82  % SZS output start Refutation
% See solution above
% 0.82/0.82  
% 0.82/0.82  
% 0.82/0.82  % Terminating...
% 1.43/0.89  % Runner terminated.
% 1.43/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------