TSTP Solution File: SWB026+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 19:20:22 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   26 (  19 unt;   2 nHn;  26 RR)
%            Number of literals    :   40 (   5 equ;  18 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-1 aty)
%            Number of variables   :   15 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ iext(uri_rdf_type,X,uri_rdf_Property)
    | ip(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

cnf(4,axiom,
    ( iext(uri_rdf_type,X,Y)
    | ~ icext(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

cnf(5,axiom,
    ( ~ iext(uri_rdfs_domain,X,Y)
    | ~ iext(X,Z,U)
    | icext(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

cnf(6,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

cnf(8,axiom,
    ( ~ iext(uri_rdf_first,X,Y)
    | ~ iext(uri_rdf_rest,X,uri_rdf_nil)
    | ~ iext(uri_owl_oneOf,Z,X)
    | ~ icext(Z,U)
    | U = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

cnf(14,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAV2'(X),'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(15,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAV3'(X),'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(16,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | 'SKOLEMAAAV2'(X) != 'SKOLEMAAAV3'(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(17,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

cnf(18,axiom,
    iext(uri_rdfs_domain,uri_ex_p,'SKOLEMAAAV5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

cnf(19,axiom,
    iext(uri_owl_oneOf,'SKOLEMAAAV5','SKOLEMAAAV7'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

cnf(20,axiom,
    iext(uri_rdf_first,'SKOLEMAAAV7',uri_ex_w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

cnf(21,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAV7',uri_rdf_nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

cnf(26,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference('UR-RESOLVE',[status(thm)],[4,17]) ).

cnf(28,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference('HYPERRESOLVE',[status(thm)],[5,6,18]) ).

cnf(38,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference('HYPERRESOLVE',[status(thm)],[4,28]) ).

cnf(44,plain,
    ip(uri_ex_p),
    inference('HYPERRESOLVE',[status(thm)],[1,38]) ).

cnf(46,plain,
    'SKOLEMAAAV2'(uri_ex_p) != 'SKOLEMAAAV3'(uri_ex_p),
    inference('UR-RESOLVE',[status(thm)],[16,44,26]) ).

cnf(47,plain,
    iext(uri_ex_p,'SKOLEMAAAV3'(uri_ex_p),'SKOLEMAAAV4'(uri_ex_p)),
    inference('UR-RESOLVE',[status(thm)],[15,44,26]) ).

cnf(48,plain,
    iext(uri_ex_p,'SKOLEMAAAV2'(uri_ex_p),'SKOLEMAAAV4'(uri_ex_p)),
    inference('UR-RESOLVE',[status(thm)],[14,44,26]) ).

cnf(49,plain,
    icext('SKOLEMAAAV5','SKOLEMAAAV3'(uri_ex_p)),
    inference('HYPERRESOLVE',[status(thm)],[5,47,18]) ).

cnf(50,plain,
    'SKOLEMAAAV3'(uri_ex_p) = uri_ex_w,
    inference('HYPERRESOLVE',[status(thm)],[8,49,20,21,19]) ).

cnf(51,plain,
    'SKOLEMAAAV2'(uri_ex_p) != uri_ex_w,
    inference('REWRITE',[status(thm)],[46,50,theory(equality)]) ).

cnf(53,plain,
    ~ icext('SKOLEMAAAV5','SKOLEMAAAV2'(uri_ex_p)),
    inference('UR-RESOLVE',[status(thm)],[8,51,20,21,19]) ).

cnf(56,plain,
    ~ iext(uri_ex_p,'SKOLEMAAAV2'(uri_ex_p),X),
    inference('UR-RESOLVE',[status(thm)],[5,53,18]) ).

cnf(57,plain,
    $false,
    inference('REWRITE',[status(thm)],[48,56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  1 04:17:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T04:17:00
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T04:17:00
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       100 formulas have been input or derived (from 48 formulas).
% 0.21/0.53  ;        57 (57%) were retained.  Of these,
% 0.21/0.53  ;            4 ( 7%) were simplified or subsumed later,
% 0.21/0.53  ;           53 (93%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.003   8%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   3%   Assert                       (8 calls)
% 0.21/0.53  ;     0.005  13%   Process new row              (81 calls)
% 0.21/0.53  ;     0.005  13%   Resolution                   (94 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (47 calls)
% 0.21/0.53  ;     0.002   5%   Condensing                   (19 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.21/0.53  ;     0.001   3%   Forward simplification       (79 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (57 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (8 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.021  55%   Other
% 0.21/0.53  ;     0.038        Total
% 0.21/0.53  ;     0.041        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 79 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 0 possibly forward subsuming rows in 19 calls.
% 0.21/0.53  ;  Retrieved 0 possibly backward subsumed rows in 19 calls.
% 0.21/0.53  ; Path-index has 91 entries (92 at peak, 95 added, 4 deleted).
% 0.21/0.53  ; Path-index has 136 nodes (136 at peak, 139 added, 3 deleted).
% 0.21/0.53  ; Trie-index has 91 entries (92 at peak, 95 added, 4 deleted).
% 0.21/0.53  ; Trie-index has 174 nodes (176 at peak, 185 added, 11 deleted).
% 0.21/0.53  ; Retrieved 22 generalization terms in 83 calls.
% 0.21/0.53  ; Retrieved 38 instance terms in 37 calls.
% 0.21/0.53  ; Retrieved 1,604 unifiable terms in 721 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 1 entry:
% 0.21/0.53  ;     1 with value 13
% 0.21/0.53  ; The agenda of rows to give has 8 entries:
% 0.21/0.53  ;     2 with value (4 12)          2 with value (4 16)           2 with value (4 21)
% 0.21/0.53  ;     2 with value (4 13)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.043 seconds of real time
% 0.21/0.53    0.038533 seconds of user run time
% 0.21/0.53    0.003561 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,336,696 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T04:17:00
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------