TSTP Solution File: SWB029+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB029+2 : 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.5LT9uxU0Gg true

% Computer : n004.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 1.76s 0.85s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   52 (  15 unt;  17 typ;   0 def)
%            Number of atoms       :  105 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  387 (  53   ~;  47   |;  17   &; 264   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 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   :   64 (   0   ^;  60   !;   4   ?;  64   :)

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

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

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

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

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

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

thf(uri_rdf_rest_type,type,
    uri_rdf_rest: $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_cl17,plain,
    iext @ uri_rdf_first @ sk__4 @ sk__2,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl23,plain,
    iext @ uri_rdf_first @ sk__3 @ uri_ex_A,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl22,plain,
    iext @ uri_owl_intersectionOf @ sk__1 @ sk__3,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl16,plain,
    iext @ uri_rdf_rest @ sk__4 @ 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_cl10,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_cl46,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__4 @ X4 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X3 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl10]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__3 @ sk__4 )
      | ~ ( iext @ uri_rdf_first @ sk__3 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 )
      | ~ ( icext @ sk__1 @ X2 )
      | ( icext @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl46]) ).

thf(zip_derived_cl18,plain,
    iext @ uri_rdf_rest @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__3 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 )
      | ~ ( icext @ sk__1 @ X2 )
      | ( icext @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl18]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ uri_ex_A @ X0 )
      | ~ ( icext @ sk__1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl83]) ).

thf(zip_derived_cl17_001,plain,
    iext @ uri_rdf_first @ sk__4 @ sk__2,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl23_002,plain,
    iext @ uri_rdf_first @ sk__3 @ uri_ex_A,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl22_003,plain,
    iext @ uri_owl_intersectionOf @ sk__1 @ sk__3,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl16_004,plain,
    iext @ uri_rdf_rest @ sk__4 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl9,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_cl45,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__4 @ X3 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X4 )
      | ~ ( iext @ uri_rdf_rest @ X0 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ sk__3 @ sk__4 )
      | ~ ( iext @ uri_rdf_first @ sk__3 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 )
      | ~ ( icext @ sk__1 @ X2 )
      | ( icext @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl45]) ).

thf(zip_derived_cl18_005,plain,
    iext @ uri_rdf_rest @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__3 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 )
      | ~ ( icext @ sk__1 @ X2 )
      | ( icext @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl18]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X1 @ X0 )
      | ~ ( icext @ sk__1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__4 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl73]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ~ ( icext @ sk__1 @ X0 )
      | ( icext @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl74]) ).

thf(zip_derived_cl24,plain,
    iext @ uri_owl_complementOf @ sk__2 @ 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_cl4,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_cl38,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_A @ X0 )
      | ~ ( icext @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl4]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ~ ( icext @ sk__1 @ X0 )
      | ~ ( icext @ uri_ex_A @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl38]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__4 @ X1 )
      | ~ ( icext @ sk__1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl84,zip_derived_cl77]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ~ ( icext @ sk__1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl87]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl21,plain,
    iext @ uri_rdf_type @ uri_ex_w @ sk__1,
    inference(cnf,[status(esa)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).

thf(zip_derived_cl26,plain,
    icext @ sk__1 @ uri_ex_w,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl89,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWB029+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5LT9uxU0Gg true
% 0.12/0.35  % Computer : n004.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sun Aug 27 06:38:52 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.76/0.85  % Solved by fo/fo3_bce.sh.
% 1.76/0.85  % BCE start: 25
% 1.76/0.85  % BCE eliminated: 0
% 1.76/0.85  % PE start: 25
% 1.76/0.85  logic: neq
% 1.76/0.85  % PE eliminated: 0
% 1.76/0.85  % done 62 iterations in 0.059s
% 1.76/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.76/0.85  % SZS output start Refutation
% See solution above
% 1.76/0.85  
% 1.76/0.85  
% 1.76/0.85  % Terminating...
% 2.20/0.96  % Runner terminated.
% 2.20/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------