TSTP Solution File: SWB029+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB029+3 : 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.Kw10mTTMxF true

% Computer : n009.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 20:16:10 EDT 2023

% Result   : Theorem 1.27s 0.95s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   54 (  18 unt;  17 typ;   0 def)
%            Number of atoms       :  106 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  388 (  50   ~;  46   |;  17   &; 269   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   61 (   0   ^;  57   !;   4   ?;  61   :)

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

thf(uri_owl_intersectionOf_type,type,
    uri_owl_intersectionOf: $i ).

thf(uri_ex_A_type,type,
    uri_ex_A: $i ).

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

thf(sk__16_type,type,
    sk__16: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

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

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

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

thf(uri_owl_complementOf_type,type,
    uri_owl_complementOf: $i ).

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

thf(uri_ex_B_type,type,
    uri_ex_B: $i ).

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

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

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
    ? [BNODE_x: $i,BNODE_y: $i,BNODE_l1: $i,BNODE_l2: $i] :
      ( ( iext @ uri_owl_complementOf @ BNODE_y @ uri_ex_A )
      & ( iext @ uri_rdf_rest @ BNODE_l2 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l2 @ BNODE_y )
      & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
      & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_ex_A )
      & ( iext @ uri_owl_intersectionOf @ BNODE_x @ BNODE_l1 )
      & ( iext @ uri_rdf_type @ uri_ex_w @ BNODE_x )
      & ( iext @ uri_rdf_type @ uri_ex_B @ uri_owl_Class )
      & ( iext @ uri_rdf_type @ uri_ex_A @ uri_owl_Class ) ) ).

thf(zip_derived_cl146,plain,
    iext @ uri_rdf_first @ sk__18 @ uri_ex_A,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl140,plain,
    iext @ uri_rdf_first @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl144,plain,
    iext @ uri_rdf_type @ uri_ex_w @ sk__16,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

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

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl310,plain,
    icext @ sk__16 @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl110]) ).

thf(zip_derived_cl145,plain,
    iext @ uri_owl_intersectionOf @ sk__16 @ sk__18,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl139,plain,
    iext @ uri_rdf_rest @ sk__19 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(owl_bool_intersectionof_class_002,axiom,
    ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ C1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ C2 )
        & ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
      <=> ( ( ic @ Z )
          & ( ic @ C1 )
          & ( ic @ C2 )
          & ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( ( icext @ C1 @ X )
                & ( icext @ C2 @ X ) ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ~ ( icext @ X4 @ X5 )
      | ( icext @ X2 @ X5 )
      | ~ ( iext @ uri_owl_intersectionOf @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_bool_intersectionof_class_002]) ).

thf(zip_derived_cl929,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_owl_intersectionOf @ X1 @ X0 )
      | ( icext @ X3 @ X2 )
      | ~ ( icext @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X4 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl19]) ).

thf(zip_derived_cl932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__18 @ sk__19 )
      | ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X1 )
      | ~ ( icext @ sk__16 @ X2 )
      | ( icext @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl929]) ).

thf(zip_derived_cl141,plain,
    iext @ uri_rdf_rest @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X1 )
      | ~ ( icext @ sk__16 @ X2 )
      | ( icext @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl932,zip_derived_cl141]) ).

thf(zip_derived_cl935,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ uri_ex_w )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__18 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl933]) ).

thf(zip_derived_cl939,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ( icext @ X0 @ uri_ex_w ) ),
    inference('sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl935]) ).

thf(zip_derived_cl940,plain,
    icext @ uri_ex_A @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl939]) ).

thf(zip_derived_cl147,plain,
    iext @ uri_owl_complementOf @ sk__17 @ uri_ex_A,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(owl_bool_complementof_class,axiom,
    ! [Z: $i,C: $i] :
      ( ( iext @ uri_owl_complementOf @ Z @ C )
     => ( ( ic @ Z )
        & ( ic @ C )
        & ! [X: $i] :
            ( ( icext @ Z @ X )
          <=> ~ ( icext @ C @ X ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( icext @ X0 @ X1 )
      | ~ ( icext @ X2 @ X1 )
      | ~ ( iext @ uri_owl_complementOf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[owl_bool_complementof_class]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_A @ X0 )
      | ~ ( icext @ sk__17 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl2]) ).

thf(zip_derived_cl944,plain,
    ~ ( icext @ sk__17 @ uri_ex_w ),
    inference('sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl327]) ).

thf(zip_derived_cl146_001,plain,
    iext @ uri_rdf_first @ sk__18 @ uri_ex_A,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl140_002,plain,
    iext @ uri_rdf_first @ sk__19 @ sk__17,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl310_003,plain,
    icext @ sk__16 @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl110]) ).

thf(zip_derived_cl145_004,plain,
    iext @ uri_owl_intersectionOf @ sk__16 @ sk__18,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl139_005,plain,
    iext @ uri_rdf_rest @ sk__19 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ~ ( icext @ X4 @ X5 )
      | ( icext @ X3 @ X5 )
      | ~ ( iext @ uri_owl_intersectionOf @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_bool_intersectionof_class_002]) ).

thf(zip_derived_cl852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_owl_intersectionOf @ X1 @ X0 )
      | ( icext @ X3 @ X2 )
      | ~ ( icext @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X3 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X4 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl18]) ).

thf(zip_derived_cl855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__18 @ sk__19 )
      | ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X1 )
      | ~ ( icext @ sk__16 @ X2 )
      | ( icext @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl852]) ).

thf(zip_derived_cl141_006,plain,
    iext @ uri_rdf_rest @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X1 )
      | ~ ( icext @ sk__16 @ X2 )
      | ( icext @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl141]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ uri_ex_w )
      | ~ ( iext @ uri_rdf_first @ sk__19 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__18 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl856]) ).

thf(zip_derived_cl862,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__18 @ X0 )
      | ( icext @ sk__17 @ uri_ex_w ) ),
    inference('sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl858]) ).

thf(zip_derived_cl863,plain,
    icext @ sk__17 @ uri_ex_w,
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl862]) ).

thf(zip_derived_cl947,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl944,zip_derived_cl863]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SWB029+3 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kw10mTTMxF true
% 0.11/0.31  % Computer : n009.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sun Aug 27 06:53:35 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.78/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.27/0.95  % Solved by fo/fo7.sh.
% 1.27/0.95  % done 446 iterations in 0.237s
% 1.27/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.95  % SZS output start Refutation
% See solution above
% 1.27/0.95  
% 1.27/0.95  
% 1.27/0.95  % Terminating...
% 1.67/1.01  % Runner terminated.
% 1.67/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------