TSTP Solution File: SWB004+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 19:20:12 EDT 2022

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   48 (  18 unt;  16 nHn;  45 RR)
%            Number of literals    :   97 (   0 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

cnf(3,axiom,
    ( iext(uri_rdf_type,X,Y)
    | ~ icext(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

cnf(4,axiom,
    ( ~ idc(X)
    | ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

cnf(5,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_type) ).

cnf(6,axiom,
    ( ~ icext(uri_owl_Class,X)
    | ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

cnf(7,axiom,
    ( icext(uri_owl_Class,X)
    | ~ ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

cnf(8,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

cnf(9,axiom,
    ( ~ icext(uri_rdfs_Class,X)
    | ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

cnf(10,axiom,
    ( icext(uri_rdfs_Class,X)
    | ~ ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

cnf(11,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_type) ).

cnf(12,axiom,
    ( ~ icext(uri_rdfs_Datatype,X)
    | idc(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

cnf(14,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).

cnf(15,axiom,
    ( icext(uri_owl_Thing,X)
    | ~ ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

cnf(16,plain,
    icext(uri_owl_Thing,X),
    inference('REWRITE',[status(thm)],[15,1]) ).

cnf(20,axiom,
    ( iext(uri_rdfs_subClassOf,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | icext(X,'SKOLEMAAAV1'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(21,axiom,
    ( iext(uri_rdfs_subClassOf,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | ~ icext(Y,'SKOLEMAAAV1'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(26,axiom,
    ( iext(uri_owl_equivalentClass,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | ~ icext(X,'SKOLEMAAAV2'(X,Y))
    | ~ icext(Y,'SKOLEMAAAV2'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

cnf(27,axiom,
    ( iext(uri_owl_equivalentClass,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | icext(X,'SKOLEMAAAV2'(X,Y))
    | icext(Y,'SKOLEMAAAV2'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

cnf(28,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

cnf(32,plain,
    icext(uri_owl_Class,uri_owl_Class),
    inference('HYPERRESOLVE',[status(thm)],[7,5]) ).

cnf(37,plain,
    iext(uri_rdf_type,X,uri_owl_Thing),
    inference('HYPERRESOLVE',[status(thm)],[3,16]) ).

cnf(38,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference('REWRITE',[status(thm)],[28,37]) ).

cnf(42,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | icext(uri_rdfs_Datatype,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[20,11,5]) ).

cnf(54,plain,
    iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference('HYPERRESOLVE',[status(thm)],[21,5,14,16]) ).

cnf(55,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference('REWRITE',[status(thm)],[38,54]) ).

cnf(65,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[27,5,8]) ).

cnf(69,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference('HYPERRESOLVE',[status(thm)],[3,32]) ).

cnf(70,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference('REWRITE',[status(thm)],[55,69]) ).

cnf(147,plain,
    ( icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Datatype,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[70,65,42]) ).

cnf(444,plain,
    ( icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Datatype,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[9,147]) ).

cnf(451,plain,
    ( icext(uri_rdfs_Datatype,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,444]) ).

cnf(452,plain,
    ( ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | idc('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[12,451]) ).

cnf(459,plain,
    ( ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[4,452]) ).

cnf(460,plain,
    ( ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | icext(uri_rdfs_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[10,459]) ).

cnf(461,plain,
    ( ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[7,459]) ).

cnf(481,plain,
    ( ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference('HYPERRESOLVE',[status(thm)],[26,461,5,8,460]) ).

cnf(486,plain,
    ( ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | icext(uri_rdfs_Datatype,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[70,481,42]) ).

cnf(519,plain,
    ( ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class))
    | idc('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[12,486]) ).

cnf(526,plain,
    ic('SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)),
    inference('HYPERRESOLVE',[status(thm)],[4,519]) ).

cnf(528,plain,
    icext(uri_owl_Class,'SKOLEMAAAV1'(uri_rdfs_Datatype,uri_owl_Class)),
    inference('HYPERRESOLVE',[status(thm)],[7,526]) ).

cnf(548,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference('HYPERRESOLVE',[status(thm)],[21,528,11,5]) ).

cnf(549,plain,
    ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference('REWRITE',[status(thm)],[70,548]) ).

cnf(550,plain,
    ( icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('REWRITE',[status(thm)],[65,549]) ).

cnf(555,plain,
    ( icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class))
    | ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference('HYPERRESOLVE',[status(thm)],[9,550]) ).

cnf(562,plain,
    ic('SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)),
    inference('HYPERRESOLVE',[status(thm)],[6,555]) ).

cnf(563,plain,
    icext(uri_rdfs_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)),
    inference('HYPERRESOLVE',[status(thm)],[10,562]) ).

cnf(564,plain,
    icext(uri_owl_Class,'SKOLEMAAAV2'(uri_owl_Class,uri_rdfs_Class)),
    inference('HYPERRESOLVE',[status(thm)],[7,562]) ).

cnf(584,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[26,563,549,5,8]),564]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun  1 11:39:37 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T11:39:37
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-01T11:39:37
% 0.61/0.81  
% 0.61/0.81  
% 0.61/0.81  #||
% 0.61/0.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.81  % SZS output start Refutation
% See solution above
% 0.61/0.81  ||#
% 0.61/0.81  
% 0.61/0.81  ; Summary of computation:
% 0.61/0.81  ;      2134 formulas have been input or derived (from 323 formulas).
% 0.61/0.81  ;       584 (27%) were retained.  Of these,
% 0.61/0.81  ;          181 (31%) were simplified or subsumed later,
% 0.61/0.81  ;          403 (69%) are still being kept.
% 0.61/0.81  ; 
% 0.61/0.81  ; Run time in seconds excluding printing time:
% 0.61/0.81  ;     0.003   1%   Read assertion file          (1 call)
% 0.61/0.81  ;     0.001   0%   Assert                       (14 calls)
% 0.61/0.81  ;     0.037  11%   Process new row              (2,069 calls)
% 0.61/0.81  ;     0.034  10%   Resolution                   (644 calls)
% 0.61/0.81  ;     0.004   1%   Paramodulation               (322 calls)
% 0.61/0.81  ;     0.001   0%   Factoring                    (266 calls)
% 0.61/0.81  ;     0.003   1%   Condensing                   (1,419 calls)
% 0.61/0.81  ;     0.143  42%   Forward subsumption          (1,419 calls)
% 0.61/0.81  ;     0.021   6%   Backward subsumption         (542 calls)
% 0.61/0.81  ;     0.023   7%   Clause clause subsumption    (8,273 calls)
% 0.61/0.81  ;     0.031   9%   Forward simplification       (2,028 calls)
% 0.61/0.81  ;     0.005   1%   Backward simplification      (583 calls)
% 0.61/0.81  ;     0.003   1%   Ordering                     (1,396 calls)
% 0.61/0.81  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.81  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.81  ;     0.033  10%   Other
% 0.61/0.81  ;     0.342        Total
% 0.61/0.81  ;     0.346        Real time
% 0.61/0.81  ; 
% 0.61/0.81  ; Term-hash-array has 276 terms in all.
% 0.61/0.81  ; Feature-vector-row-index has 362 entries (441 at peak, 542 added, 180 deleted).
% 0.61/0.81  ; Feature-vector-row-index has 1,429 nodes (1,711 at peak, 2,274 added, 845 deleted).
% 0.61/0.81  ;  Retrieved 12,070 possibly forward subsuming rows in 1,419 calls.
% 0.61/0.81  ;  Retrieved 802 possibly backward subsumed rows in 542 calls.
% 0.61/0.81  ; Path-index has 271 entries (271 at peak, 342 added, 71 deleted).
% 0.61/0.81  ; Path-index has 242 nodes (242 at peak, 270 added, 28 deleted).
% 0.61/0.81  ; Trie-index has 271 entries (271 at peak, 342 added, 71 deleted).
% 0.61/0.81  ; Trie-index has 570 nodes (570 at peak, 740 added, 170 deleted).
% 0.61/0.81  ; Retrieved 571 generalization terms in 6,184 calls.
% 0.61/0.81  ; Retrieved 41 instance terms in 40 calls.
% 0.61/0.81  ; Retrieved 8,939 unifiable terms in 2,927 calls.
% 0.61/0.81  ; 
% 0.61/0.81  ; The agenda of rows to process has 10 entries:
% 0.61/0.81  ;     1 with value 12              5 with value 19               3 with value 26
% 0.61/0.81  ;     1 with value 13
% 0.61/0.81  ; The agenda of rows to give has 132 entries:
% 0.61/0.81  ;     1 with value (4 11)          3 with value (4 24)          10 with value (4 34)
% 0.61/0.81  ;     1 with value (4 12)          2 with value (4 27)          16 with value (4 35)
% 0.61/0.81  ;     1 with value (4 18)         42 with value (4 28)          20 with value (4 36)
% 0.61/0.81  ;     1 with value (4 20)         16 with value (4 29)           6 with value (4 42)
% 0.61/0.81  ;     2 with value (4 21)          3 with value (4 30)           2 with value (4 50)
% 0.61/0.81  ;     3 with value (4 22)          3 with value (4 32)
% 0.61/0.81  Evaluation took:
% 0.61/0.81    0.347 seconds of real time
% 0.61/0.81    0.308712 seconds of user run time
% 0.61/0.81    0.03785 seconds of system run time
% 0.61/0.81    [Run times include 0.008 seconds GC run time.]
% 0.61/0.81    0 calls to %EVAL
% 0.61/0.81    0 page faults and
% 0.61/0.81    30,104,944 bytes consed.
% 0.61/0.81  :PROOF-FOUND
% 0.61/0.81  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T11:39:37
% 0.61/0.81  :PROOF-FOUND
% 0.61/0.81  * 
%------------------------------------------------------------------------------