TSTP Solution File: SWB013+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 19:20:17 EDT 2022

% Result   : Theorem 0.37s 0.62s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   31 (  24 unt;   0 nHn;  31 RR)
%            Number of literals    :   52 (   2 equ;  23 neg)
%            Maximal clause size   :   11 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  22 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn)

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

cnf(3,axiom,
    ( ~ iext(uri_owl_someValuesFrom,X,Y)
    | ~ iext(uri_owl_onProperty,X,Z)
    | ~ icext(X,U)
    | iext(Z,U,'SKOLEMAAAV1'(Z,U,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

cnf(8,axiom,
    ( ~ iext(uri_rdfs_subClassOf,X,Y)
    | ~ icext(X,Z)
    | icext(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(13,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,X,Y)
    | ~ iext(X,Z,U)
    | iext(Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).

cnf(16,axiom,
    ( ~ iext(uri_owl_sameAs,X,Y)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

cnf(22,axiom,
    ( ~ iext(uri_rdf_first,X,Y)
    | ~ iext(uri_rdf_rest,X,Z)
    | ~ iext(uri_rdf_first,Z,U)
    | ~ iext(uri_rdf_rest,Z,V)
    | ~ iext(uri_rdf_first,V,W)
    | ~ iext(uri_rdf_rest,V,uri_rdf_nil)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X)
    | ~ iext(Y,Y1,Z1)
    | ~ iext(U,Z1,U1)
    | ~ iext(W,U1,V1)
    | iext(X1,Y1,V1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_003) ).

cnf(30,axiom,
    ( ~ iext(uri_owl_inverseOf,X,Y)
    | iext(X,Z,U)
    | ~ iext(Y,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).

cnf(33,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).

cnf(35,axiom,
    iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(37,axiom,
    iext(uri_rdfs_subClassOf,uri_ex_Clique,'SKOLEMAAAV11'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(39,axiom,
    iext(uri_owl_onProperty,'SKOLEMAAAV11',uri_ex_sameCliqueAs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(40,axiom,
    iext(uri_owl_someValuesFrom,'SKOLEMAAAV11',uri_ex_Clique),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(42,axiom,
    iext(uri_owl_propertyChainAxiom,uri_foaf_knows,'SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(43,axiom,
    iext(uri_rdf_first,'SKOLEMAAAV13',uri_rdf_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(44,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAV13','SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(45,axiom,
    iext(uri_rdf_first,'SKOLEMAAAV14',uri_ex_sameCliqueAs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(46,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAV14','SKOLEMAAAV15'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(47,axiom,
    iext(uri_rdf_first,'SKOLEMAAAV15','SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(48,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAV15',uri_rdf_nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(49,axiom,
    iext(uri_owl_inverseOf,'SKOLEMAAAV12',uri_rdf_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(50,axiom,
    iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(51,axiom,
    iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(52,axiom,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).

cnf(62,plain,
    icext(uri_ex_Clique,uri_ex_JoesGang),
    inference('HYPERRESOLVE',[status(thm)],[1,50]) ).

cnf(71,plain,
    iext('SKOLEMAAAV12',uri_ex_JoesGang,uri_ex_bob),
    inference('HYPERRESOLVE',[status(thm)],[30,49,52]) ).

cnf(136,plain,
    icext('SKOLEMAAAV11',uri_ex_JoesGang),
    inference('HYPERRESOLVE',[status(thm)],[8,62,37]) ).

cnf(138,plain,
    ~ iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
    inference('UR-RESOLVE',[status(thm)],[22,71,43,44,45,46,47,48,42,51,33]) ).

cnf(141,plain,
    iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,'SKOLEMAAAV1'(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_Clique)),
    inference('HYPERRESOLVE',[status(thm)],[3,136,40,39]) ).

cnf(159,plain,
    iext(uri_owl_sameAs,uri_ex_JoesGang,'SKOLEMAAAV1'(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_Clique)),
    inference('HYPERRESOLVE',[status(thm)],[13,141,35]) ).

cnf(167,plain,
    uri_ex_JoesGang = 'SKOLEMAAAV1'(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_Clique),
    inference('HYPERRESOLVE',[status(thm)],[16,159]) ).

cnf(168,plain,
    $false,
    inference('REWRITE',[status(thm)],[141,138,167,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  1 11:25:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T11:25:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-01T11:25:38
% 0.37/0.62  
% 0.37/0.62  
% 0.37/0.62  #||
% 0.37/0.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.62  % SZS output start Refutation
% See solution above
% 0.37/0.62  ||#
% 0.37/0.62  
% 0.37/0.62  ; Summary of computation:
% 0.37/0.62  ;       283 formulas have been input or derived (from 95 formulas).
% 0.37/0.62  ;       168 (59%) were retained.  Of these,
% 0.37/0.62  ;           15 ( 9%) were simplified or subsumed later,
% 0.37/0.62  ;          153 (91%) are still being kept.
% 0.37/0.62  ; 
% 0.37/0.62  ; Run time in seconds excluding printing time:
% 0.37/0.62  ;     0.005   3%   Read assertion file          (1 call)
% 0.37/0.62  ;     0.003   2%   Assert                       (9 calls)
% 0.37/0.62  ;     0.018  12%   Process new row              (229 calls)
% 0.37/0.62  ;     0.086  58%   Resolution                   (188 calls)
% 0.37/0.62  ;     0.000   0%   Paramodulation               (94 calls)
% 0.37/0.62  ;     0.001   1%   Condensing                   (109 calls)
% 0.37/0.62  ;     0.005   3%   Forward subsumption          (109 calls)
% 0.37/0.62  ;     0.002   1%   Backward subsumption         (97 calls)
% 0.37/0.62  ;     0.000   0%   Clause clause subsumption    (53 calls)
% 0.37/0.62  ;     0.003   2%   Forward simplification       (229 calls)
% 0.37/0.62  ;     0.001   1%   Backward simplification      (168 calls)
% 0.37/0.62  ;     0.000   0%   Ordering                     (156 calls)
% 0.37/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.62  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.62  ;     0.024  16%   Other
% 0.37/0.62  ;     0.148        Total
% 0.37/0.62  ;     0.152        Real time
% 0.37/0.62  ; 
% 0.37/0.63  ; Term-hash-array has 382 terms in all.
% 0.37/0.63  ; Feature-vector-row-index has 94 entries (95 at peak, 97 added, 3 deleted).
% 0.37/0.63  ; Feature-vector-row-index has 446 nodes (446 at peak, 446 added, 0 deleted).
% 0.37/0.63  ;  Retrieved 66 possibly forward subsuming rows in 109 calls.
% 0.37/0.63  ;  Retrieved 53 possibly backward subsumed rows in 97 calls.
% 0.37/0.63  ; Path-index has 395 entries (406 at peak, 419 added, 24 deleted).
% 0.37/0.63  ; Path-index has 506 nodes (524 at peak, 524 added, 18 deleted).
% 0.37/0.63  ; Trie-index has 395 entries (406 at peak, 419 added, 24 deleted).
% 0.37/0.63  ; Trie-index has 926 nodes (979 at peak, 1,016 added, 90 deleted).
% 0.37/0.63  ; Retrieved 81 generalization terms in 312 calls.
% 0.37/0.63  ; Retrieved 71 instance terms in 70 calls.
% 0.37/0.63  ; Retrieved 71,140 unifiable terms in 11,020 calls.
% 0.37/0.63  ; 
% 0.37/0.63  ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.37/0.63  ;     8 with value 0
% 0.37/0.63  ; The agenda of rows to give has 64 entries:
% 0.37/0.63  ;     1 with value (4 13)         23 with value (4 17)           2 with value (4 22)
% 0.37/0.63  ;     4 with value (4 14)         12 with value (4 21)          22 with value (4 27)
% 0.37/0.63  Evaluation took:
% 0.37/0.63    0.152 seconds of real time
% 0.37/0.63    0.142295 seconds of user run time
% 0.37/0.63    0.009091 seconds of system run time
% 0.37/0.63    0 calls to %EVAL
% 0.37/0.63    0 page faults and
% 0.37/0.63    8,870,016 bytes consed.
% 0.37/0.63  :PROOF-FOUND
% 0.37/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T11:25:38
% 0.37/0.63  :PROOF-FOUND
% 0.37/0.63  * 
%------------------------------------------------------------------------------