TSTP Solution File: SWB027+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB027+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 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   23 (  15 unt;   2 nHn;  23 RR)
%            Number of literals    :   41 (   3 equ;  20 neg)
%            Maximal clause size   :    8 (   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   :   21 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( iext(uri_rdf_type,X,Y)
    | ~ icext(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

cnf(3,axiom,
    ( ~ iext(uri_owl_sameAs,X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

cnf(8,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(14,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAW4'(X),'SKOLEMAAAW6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(15,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAW5'(X),'SKOLEMAAAW6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(16,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | 'SKOLEMAAAW4'(X) != 'SKOLEMAAAW5'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(18,axiom,
    ( ~ iext(uri_owl_inverseOf,X,Y)
    | ip(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).

cnf(20,axiom,
    ( ~ iext(uri_owl_inverseOf,X,Y)
    | iext(X,Z,U)
    | ~ iext(Y,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).

cnf(23,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(24,axiom,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,'SKOLEMAAAW9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(25,axiom,
    iext(uri_rdf_first,'SKOLEMAAAW9',uri_ex_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(26,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAW9','SKOLEMAAAW10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(27,axiom,
    iext(uri_rdf_first,'SKOLEMAAAW10','SKOLEMAAAW11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(28,axiom,
    iext(uri_rdf_rest,'SKOLEMAAAW10',uri_rdf_nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(29,axiom,
    iext(uri_owl_inverseOf,'SKOLEMAAAW11',uri_ex_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).

cnf(31,plain,
    ip(uri_ex_p),
    inference('HYPERRESOLVE',[status(thm)],[18,29]) ).

cnf(32,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference('UR-RESOLVE',[status(thm)],[2,23]) ).

cnf(38,plain,
    iext(uri_ex_p,'SKOLEMAAAW5'(uri_ex_p),'SKOLEMAAAW6'(uri_ex_p)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,31]),32]) ).

cnf(39,plain,
    iext(uri_ex_p,'SKOLEMAAAW4'(uri_ex_p),'SKOLEMAAAW6'(uri_ex_p)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,31]),32]) ).

cnf(53,plain,
    'SKOLEMAAAW4'(uri_ex_p) != 'SKOLEMAAAW5'(uri_ex_p),
    inference('UR-RESOLVE',[status(thm)],[16,32,31]) ).

cnf(54,plain,
    ~ iext(uri_owl_sameAs,'SKOLEMAAAW4'(uri_ex_p),'SKOLEMAAAW5'(uri_ex_p)),
    inference('UR-RESOLVE',[status(thm)],[3,53]) ).

cnf(56,plain,
    iext('SKOLEMAAAW11','SKOLEMAAAW6'(uri_ex_p),'SKOLEMAAAW5'(uri_ex_p)),
    inference('HYPERRESOLVE',[status(thm)],[20,38,29]) ).

cnf(58,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,54,25,26,27,28,24,39]),56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun  1 13:38:15 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T13:38:16
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T13:38:16
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.56  ||#
% 0.21/0.56  
% 0.21/0.56  ; Summary of computation:
% 0.21/0.56  ;        84 formulas have been input or derived (from 39 formulas).
% 0.21/0.56  ;        58 (69%) were retained.  Of these,
% 0.21/0.56  ;           58 (100%) are still being kept.
% 0.21/0.56  ; 
% 0.21/0.56  ; Run time in seconds excluding printing time:
% 0.21/0.56  ;     0.003   6%   Read assertion file          (1 call)
% 0.21/0.56  ;     0.001   2%   Assert                       (7 calls)
% 0.21/0.56  ;     0.003   6%   Process new row              (73 calls)
% 0.21/0.56  ;     0.015  28%   Resolution                   (76 calls)
% 0.21/0.56  ;     0.001   2%   Paramodulation               (38 calls)
% 0.21/0.56  ;     0.003   6%   Condensing                   (42 calls)
% 0.21/0.56  ;     0.002   4%   Forward subsumption          (42 calls)
% 0.21/0.56  ;     0.000   0%   Backward subsumption         (38 calls)
% 0.21/0.56  ;     0.000   0%   Clause clause subsumption    (18 calls)
% 0.21/0.56  ;     0.000   0%   Forward simplification       (73 calls)
% 0.21/0.56  ;     0.001   2%   Backward simplification      (58 calls)
% 0.21/0.56  ;     0.000   0%   Ordering                     (40 calls)
% 0.21/0.56  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.21/0.56  ;     0.001   2%   Purity testing               (1 call)
% 0.21/0.56  ;     0.023  43%   Other
% 0.21/0.56  ;     0.054        Total
% 0.21/0.56  ;     0.057        Real time
% 0.21/0.56  ; 
% 0.21/0.56  ; Term-hash-array has 125 terms in all.
% 0.21/0.56  ; Feature-vector-row-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.21/0.56  ; Feature-vector-row-index has 191 nodes (191 at peak, 191 added, 0 deleted).
% 0.21/0.56  ;  Retrieved 11 possibly forward subsuming rows in 42 calls.
% 0.21/0.56  ;  Retrieved 21 possibly backward subsumed rows in 38 calls.
% 0.21/0.56  ; Path-index has 137 entries (137 at peak, 137 added, 0 deleted).
% 0.21/0.56  ; Path-index has 241 nodes (241 at peak, 241 added, 0 deleted).
% 0.21/0.56  ; Trie-index has 137 entries (137 at peak, 137 added, 0 deleted).
% 0.21/0.56  ; Trie-index has 339 nodes (339 at peak, 339 added, 0 deleted).
% 0.21/0.56  ; Retrieved 25 generalization terms in 82 calls.
% 0.21/0.56  ; Retrieved 20 instance terms in 19 calls.
% 0.21/0.56  ; Retrieved 7,552 unifiable terms in 1,462 calls.
% 0.21/0.56  ; 
% 0.21/0.56  ; The agenda of rows to give has 19 entries:
% 0.21/0.56  ;     3 with value (4 11)          4 with value (4 19)           8 with value (4 27)
% 0.21/0.56  ;     4 with value (4 14)
% 0.21/0.56  Evaluation took:
% 0.21/0.56    0.057 seconds of real time
% 0.21/0.56    0.047239 seconds of user run time
% 0.21/0.56    0.009898 seconds of system run time
% 0.21/0.56    0 calls to %EVAL
% 0.21/0.56    0 page faults and
% 0.21/0.56    3,889,536 bytes consed.
% 0.21/0.56  :PROOF-FOUND
% 0.21/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T13:38:16
% 0.21/0.56  :PROOF-FOUND
% 0.21/0.56  * 
%------------------------------------------------------------------------------