TSTP Solution File: SWB022+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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  : 600s
% DateTime : Tue Jul 19 19:20:20 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   28 (  24 unt;   0 nHn;  28 RR)
%            Number of literals    :   40 (   0 equ;  15 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,X,Y)
    | ~ iext(X,Z,U)
    | iext(Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).

cnf(7,axiom,
    ( ~ iext(uri_rdf_first,X,Y)
    | ~ iext(uri_rdf_rest,X,Z)
    | ~ iext(uri_rdf_first,Z,U)
    | ~ iext(uri_rdf_rest,Z,uri_rdf_nil)
    | ~ iext(uri_owl_propertyChainAxiom,V,X)
    | ~ iext(Y,W,X1)
    | ~ iext(U,X1,Y1)
    | iext(V,W,Y1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).

cnf(11,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).

cnf(12,axiom,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,'SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(13,axiom,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,'SKOLEMAAAU5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(14,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU5','SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(15,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU5','SKOLEMAAAU6'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(16,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU6',uri_rdf_first),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(17,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU6',uri_rdf_nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(18,axiom,
    iext(uri_owl_propertyChainAxiom,'SKOLEMAAAU4','SKOLEMAAAU7'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(19,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU7','SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(20,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU7','SKOLEMAAAU8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(21,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU8',uri_rdf_rest),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(22,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU8',uri_rdf_nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(24,axiom,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,'SKOLEMAAAU9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(25,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU9',uri_ex_X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(26,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU9','SKOLEMAAAU10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(27,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU10',uri_ex_Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(28,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAU10','SKOLEMAAAU11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(29,axiom,
    iext(uri_rdf_first,'SKOLEMAAAU11',uri_ex_Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

cnf(33,plain,
    iext('SKOLEMAAAU4',uri_ex_MyOrderedCollection,'SKOLEMAAAU9'),
    inference('HYPERRESOLVE',[status(thm)],[3,12,24]) ).

cnf(53,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
    inference('HYPERRESOLVE',[status(thm)],[7,33,14,15,16,17,13,25]) ).

cnf(54,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference('REWRITE',[status(thm)],[11,53]) ).

cnf(55,plain,
    iext('SKOLEMAAAU4',uri_ex_MyOrderedCollection,'SKOLEMAAAU10'),
    inference('HYPERRESOLVE',[status(thm)],[7,33,19,20,21,22,18,26]) ).

cnf(56,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
    inference('HYPERRESOLVE',[status(thm)],[7,55,14,15,16,17,13,27]) ).

cnf(57,plain,
    ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
    inference('REWRITE',[status(thm)],[54,56]) ).

cnf(58,plain,
    iext('SKOLEMAAAU4',uri_ex_MyOrderedCollection,'SKOLEMAAAU11'),
    inference('HYPERRESOLVE',[status(thm)],[7,55,19,20,21,22,18,28]) ).

cnf(59,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,57,14,15,16,17,13,29]),58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n024.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  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 11:23:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.49  #<PACKAGE "SNARK-USER">
% 0.19/0.49  * 
% 0.19/0.49  SNARK-TPTP-OPTIONS
% 0.19/0.49  * 
% 0.19/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49   (USE-FACTORING :POS)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T11:23:06
% 0.19/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-01T11:23:06
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  #||
% 0.19/0.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56  % SZS output start Refutation
% See solution above
% 0.19/0.57  ||#
% 0.19/0.57  
% 0.19/0.57  ; Summary of computation:
% 0.19/0.57  ;        85 formulas have been input or derived (from 41 formulas).
% 0.19/0.57  ;        59 (69%) were retained.  Of these,
% 0.19/0.57  ;            2 ( 3%) were simplified or subsumed later,
% 0.19/0.57  ;           57 (97%) are still being kept.
% 0.19/0.57  ; 
% 0.19/0.57  ; Run time in seconds excluding printing time:
% 0.19/0.57  ;     0.003   4%   Read assertion file          (1 call)
% 0.19/0.57  ;     0.001   1%   Assert                       (4 calls)
% 0.19/0.57  ;     0.003   4%   Process new row              (77 calls)
% 0.19/0.57  ;     0.036  49%   Resolution                   (80 calls)
% 0.19/0.57  ;     0.000   0%   Paramodulation               (40 calls)
% 0.19/0.57  ;     0.002   3%   Condensing                   (32 calls)
% 0.19/0.57  ;     0.000   0%   Forward subsumption          (32 calls)
% 0.19/0.57  ;     0.001   1%   Backward subsumption         (28 calls)
% 0.19/0.57  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.19/0.57  ;     0.003   4%   Forward simplification       (77 calls)
% 0.19/0.57  ;     0.000   0%   Backward simplification      (59 calls)
% 0.19/0.57  ;     0.000   0%   Ordering                     (32 calls)
% 0.19/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.57  ;     0.023  32%   Other
% 0.19/0.57  ;     0.073        Total
% 0.19/0.57  ;     0.076        Real time
% 0.19/0.57  ; 
% 0.19/0.57  ; Term-hash-array has 99 terms in all.
% 0.19/0.57  ; Feature-vector-row-index has 26 entries (27 at peak, 28 added, 2 deleted).
% 0.19/0.57  ; Feature-vector-row-index has 148 nodes (157 at peak, 165 added, 17 deleted).
% 0.19/0.57  ;  Retrieved 14 possibly forward subsuming rows in 32 calls.
% 0.19/0.57  ;  Retrieved 8 possibly backward subsumed rows in 28 calls.
% 0.19/0.57  ; Path-index has 120 entries (120 at peak, 123 added, 3 deleted).
% 0.19/0.57  ; Path-index has 177 nodes (177 at peak, 177 added, 0 deleted).
% 0.19/0.57  ; Trie-index has 120 entries (120 at peak, 123 added, 3 deleted).
% 0.19/0.57  ; Trie-index has 262 nodes (262 at peak, 265 added, 3 deleted).
% 0.19/0.57  ; Retrieved 15 generalization terms in 89 calls.
% 0.19/0.57  ; Retrieved 30 instance terms in 30 calls.
% 0.19/0.57  ; Retrieved 20,733 unifiable terms in 5,977 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 2 entries:
% 0.19/0.57  ;     1 with value 7               1 with value 8
% 0.19/0.57  ; The agenda of rows to give has 18 entries:
% 0.19/0.57  ;     2 with value (4 8)          16 with value (4 19)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.077 seconds of real time
% 0.19/0.57    0.071554 seconds of user run time
% 0.19/0.57    0.005144 seconds of system run time
% 0.19/0.57    0 calls to %EVAL
% 0.19/0.57    0 page faults and
% 0.19/0.57    5,286,288 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T11:23:06
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------