TSTP Solution File: SWB028+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWB028+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 19:20:22 EDT 2022

% Result   : Theorem 0.72s 0.89s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   37 (  22 unt;   4 nHn;  37 RR)
%            Number of literals    :   68 (   3 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :   35 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ic(uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).

cnf(2,axiom,
    ( ~ iext(uri_owl_inverseOf,X,Y)
    | ip(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).

cnf(4,axiom,
    ( ~ iext(uri_owl_equivalentClass,X,Y)
    | ic(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).

cnf(5,axiom,
    ( ~ iext(uri_owl_equivalentClass,X,Y)
    | ic(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).

cnf(7,axiom,
    ( ~ icext(uri_owl_FunctionalProperty,X)
    | ~ iext(X,Y,Z)
    | ~ iext(X,Y,U)
    | Z = U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).

cnf(13,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAV4'(X),'SKOLEMAAAV6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(14,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | iext(X,'SKOLEMAAAV5'(X),'SKOLEMAAAV6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(15,axiom,
    ( icext(uri_owl_InverseFunctionalProperty,X)
    | ~ ip(X)
    | 'SKOLEMAAAV4'(X) != 'SKOLEMAAAV5'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(18,axiom,
    ( ~ iext(uri_rdfs_subClassOf,X,Y)
    | ~ icext(X,Z)
    | icext(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(19,axiom,
    ( iext(uri_rdfs_subClassOf,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | icext(X,'SKOLEMAAAV7'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(20,axiom,
    ( iext(uri_rdfs_subClassOf,X,Y)
    | ~ ic(X)
    | ~ ic(Y)
    | ~ icext(Y,'SKOLEMAAAV7'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

cnf(21,axiom,
    ( ~ iext(uri_owl_equivalentClass,X,Y)
    | ~ icext(X,Z)
    | icext(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

cnf(25,axiom,
    ( ~ iext(uri_owl_someValuesFrom,X,Y)
    | ~ iext(uri_owl_onProperty,X,Z)
    | ~ icext(X,U)
    | iext(Z,U,'SKOLEMAAAV9'(Z,U,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

cnf(26,axiom,
    ( ~ iext(uri_owl_someValuesFrom,X,Y)
    | ~ iext(uri_owl_onProperty,X,Z)
    | ~ icext(X,U)
    | icext(Y,'SKOLEMAAAV9'(Z,U,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

cnf(28,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(32,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).

cnf(33,axiom,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,'SKOLEMAAAV12'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).

cnf(35,axiom,
    iext(uri_owl_onProperty,'SKOLEMAAAV12',uri_owl_inverseOf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).

cnf(36,axiom,
    iext(uri_owl_someValuesFrom,'SKOLEMAAAV12',uri_owl_FunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).

cnf(37,plain,
    ic(uri_ex_InversesOfFunctionalProperties),
    inference('HYPERRESOLVE',[status(thm)],[4,33]) ).

cnf(38,plain,
    ic('SKOLEMAAAV12'),
    inference('HYPERRESOLVE',[status(thm)],[5,33]) ).

cnf(41,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,'SKOLEMAAAV7'(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference('UR-RESOLVE',[status(thm)],[20,37,32,1]) ).

cnf(42,plain,
    icext(uri_ex_InversesOfFunctionalProperties,'SKOLEMAAAV7'(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference('UR-RESOLVE',[status(thm)],[19,37,32,1]) ).

cnf(51,plain,
    ( iext(uri_rdfs_subClassOf,'SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)
    | icext('SKOLEMAAAV12','SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)) ),
    inference('HYPERRESOLVE',[status(thm)],[19,38,1]) ).

cnf(61,plain,
    icext('SKOLEMAAAV12','SKOLEMAAAV7'(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference('HYPERRESOLVE',[status(thm)],[21,42,33]) ).

cnf(64,plain,
    ~ iext(uri_rdfs_subClassOf,'SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),
    inference('UR-RESOLVE',[status(thm)],[18,61,41]) ).

cnf(65,plain,
    icext('SKOLEMAAAV12','SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),
    inference('REWRITE',[status(thm)],[51,64]) ).

cnf(70,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),
    inference('UR-RESOLVE',[status(thm)],[20,64,38,1]) ).

cnf(72,plain,
    icext(uri_owl_FunctionalProperty,'SKOLEMAAAV9'(uri_owl_inverseOf,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),uri_owl_FunctionalProperty)),
    inference('HYPERRESOLVE',[status(thm)],[26,65,36,35]) ).

cnf(73,plain,
    iext(uri_owl_inverseOf,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),'SKOLEMAAAV9'(uri_owl_inverseOf,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),uri_owl_FunctionalProperty)),
    inference('HYPERRESOLVE',[status(thm)],[25,65,36,35]) ).

cnf(98,plain,
    ip('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),
    inference('HYPERRESOLVE',[status(thm)],[2,73]) ).

cnf(99,plain,
    'SKOLEMAAAV4'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)) != 'SKOLEMAAAV5'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),
    inference('UR-RESOLVE',[status(thm)],[15,98,70]) ).

cnf(100,plain,
    iext('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),'SKOLEMAAAV5'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),'SKOLEMAAAV6'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty))),
    inference('UR-RESOLVE',[status(thm)],[14,98,70]) ).

cnf(101,plain,
    iext('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),'SKOLEMAAAV4'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),'SKOLEMAAAV6'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty))),
    inference('UR-RESOLVE',[status(thm)],[13,98,70]) ).

cnf(150,plain,
    iext('SKOLEMAAAV9'(uri_owl_inverseOf,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),uri_owl_FunctionalProperty),'SKOLEMAAAV6'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),'SKOLEMAAAV5'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty))),
    inference('HYPERRESOLVE',[status(thm)],[28,100,73]) ).

cnf(151,plain,
    iext('SKOLEMAAAV9'(uri_owl_inverseOf,'SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty),uri_owl_FunctionalProperty),'SKOLEMAAAV6'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty)),'SKOLEMAAAV4'('SKOLEMAAAV7'('SKOLEMAAAV12',uri_owl_InverseFunctionalProperty))),
    inference('HYPERRESOLVE',[status(thm)],[28,101,73]) ).

cnf(540,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,150,72,99]),151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 03:02:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T03:02:37
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-01T03:02:37
% 0.72/0.89  
% 0.72/0.89  
% 0.72/0.89  #||
% 0.72/0.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.89  % SZS output start Refutation
% See solution above
% 0.72/0.89  ||#
% 0.72/0.89  
% 0.72/0.89  ; Summary of computation:
% 0.72/0.89  ;      1027 formulas have been input or derived (from 154 formulas).
% 0.72/0.89  ;       540 (53%) were retained.  Of these,
% 0.72/0.89  ;          119 (22%) were simplified or subsumed later,
% 0.72/0.89  ;          421 (78%) are still being kept.
% 0.72/0.89  ; 
% 0.72/0.89  ; Run time in seconds excluding printing time:
% 0.72/0.89  ;     0.003   1%   Read assertion file          (1 call)
% 0.72/0.89  ;     0.002   0%   Assert                       (11 calls)
% 0.72/0.89  ;     0.079  19%   Process new row              (986 calls)
% 0.72/0.89  ;     0.045  11%   Resolution                   (306 calls)
% 0.72/0.89  ;     0.002   0%   Paramodulation               (153 calls)
% 0.72/0.89  ;     0.000   0%   Factoring                    (85 calls)
% 0.72/0.89  ;     0.002   0%   Condensing                   (826 calls)
% 0.72/0.89  ;     0.144  35%   Forward subsumption          (826 calls)
% 0.72/0.89  ;     0.047  11%   Backward subsumption         (498 calls)
% 0.72/0.89  ;     0.011   3%   Clause clause subsumption    (3,698 calls)
% 0.72/0.89  ;     0.031   8%   Forward simplification       (930 calls)
% 0.72/0.89  ;     0.010   2%   Backward simplification      (540 calls)
% 0.72/0.89  ;     0.004   1%   Ordering                     (1,711 calls)
% 0.72/0.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.72/0.89  ;     0.000   0%   Purity testing               (1 call)
% 0.72/0.89  ;     0.029   7%   Other
% 0.72/0.89  ;     0.409        Total
% 0.72/0.89  ;     0.412        Real time
% 0.72/0.89  ; 
% 0.72/0.89  ; Term-hash-array has 986 terms in all.
% 0.72/0.89  ; Feature-vector-row-index has 379 entries (379 at peak, 498 added, 119 deleted).
% 0.72/0.89  ; Feature-vector-row-index has 1,375 nodes (1,518 at peak, 1,866 added, 491 deleted).
% 0.72/0.89  ;  Retrieved 4,739 possibly forward subsuming rows in 826 calls.
% 0.72/0.89  ;  Retrieved 1,528 possibly backward subsumed rows in 498 calls.
% 0.72/0.89  ; Path-index has 996 entries (996 at peak, 1,011 added, 15 deleted).
% 0.72/0.89  ; Path-index has 1,217 nodes (1,217 at peak, 1,217 added, 0 deleted).
% 0.72/0.89  ; Trie-index has 996 entries (996 at peak, 1,011 added, 15 deleted).
% 0.72/0.89  ; Trie-index has 6,692 nodes (6,692 at peak, 6,712 added, 20 deleted).
% 0.72/0.89  ; Retrieved 89 generalization terms in 2,832 calls.
% 0.72/0.89  ; Retrieved 41 instance terms in 41 calls.
% 0.72/0.89  ; Retrieved 14,220 unifiable terms in 3,179 calls.
% 0.72/0.89  ; 
% 0.72/0.89  ; The agenda of rows to give has 291 entries:
% 0.72/0.89  ;     5 with value (4 25)         16 with value (4 50)           8 with value (4 80)
% 0.72/0.89  ;     2 with value (4 26)         16 with value (4 51)          48 with value (4 87)
% 0.72/0.89  ;     6 with value (4 27)          1 with value (4 57)          48 with value (4 88)
% 0.72/0.89  ;    12 with value (4 28)         15 with value (4 58)           1 with value (4 96)
% 0.72/0.89  ;     8 with value (4 29)         20 with value (4 59)           3 with value (4 97)
% 0.72/0.89  ;     2 with value (4 41)          1 with value (4 78)          32 with value (4 105)
% 0.72/0.89  ;     2 with value (4 42)         13 with value (4 79)          32 with value (4 106)
% 0.72/0.89  Evaluation took:
% 0.72/0.89    0.413 seconds of real time
% 0.72/0.89    0.385451 seconds of user run time
% 0.72/0.89    0.027147 seconds of system run time
% 0.72/0.89    [Run times include 0.016 seconds GC run time.]
% 0.72/0.89    0 calls to %EVAL
% 0.72/0.89    0 page faults and
% 0.72/0.89    37,047,168 bytes consed.
% 0.72/0.89  :PROOF-FOUND
% 0.72/0.89  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T03:02:37
% 0.72/0.89  :PROOF-FOUND
% 0.72/0.89  * 
%------------------------------------------------------------------------------