TSTP Solution File: KRS163+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:29:06 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (   9 unt;   6 nHn;  17 RR)
%            Number of literals    :   42 (   7 equ;  20 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != Y
    | ~ cB(X)
    | cB(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cB_substitution_1) ).

cnf(7,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(8,axiom,
    ~ cowlNothing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(9,axiom,
    ( ~ xsd_string(X)
    | ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(10,axiom,
    ( xsd_string(X)
    | xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(11,axiom,
    cA(ia),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(12,axiom,
    cB(ib),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(13,axiom,
    ( ~ cB(X)
    | ~ cA(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(14,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ cowlThing(ia)
    | ~ cowlThing(ib)
    | ia = ib ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(15,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ia = ib ),
    inference('REWRITE',[status(thm)],[14,8,7]) ).

cnf(16,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ cowlThing(ia)
    | ~ cowlThing(ib)
    | ia = ib ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(17,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ia = ib ),
    inference('REWRITE',[status(thm)],[16,8,7]) ).

cnf(18,plain,
    ~ cB(ia),
    inference('UR-RESOLVE',[status(thm)],[13,11]) ).

cnf(20,plain,
    ( xsd_integer('SKOLEMAAAV2')
    | ia = ib ),
    inference('HYPERRESOLVE',[status(thm)],[15,10]) ).

cnf(21,plain,
    ia != ib,
    inference('UR-RESOLVE',[status(thm)],[2,18,12]) ).

cnf(22,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2') ),
    inference('REWRITE',[status(thm)],[17,21]) ).

cnf(23,plain,
    xsd_integer('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[20,21]) ).

cnf(24,plain,
    xsd_string('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[22,23]) ).

cnf(25,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,24]),23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 16:32:51 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:32:52
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T16:32:52
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        36 formulas have been input or derived (from 16 formulas).
% 0.20/0.49  ;        25 (69%) were retained.  Of these,
% 0.20/0.49  ;            8 (32%) were simplified or subsumed later,
% 0.20/0.49  ;           17 (68%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.000   0%   Assert                       (14 calls)
% 0.20/0.49  ;     0.002   7%   Process new row              (31 calls)
% 0.20/0.49  ;     0.001   3%   Resolution                   (30 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (15 calls)
% 0.20/0.49  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.49  ;     0.000   0%   Condensing                   (14 calls)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (14 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.49  ;     0.001   3%   Forward simplification       (31 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (23 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (4 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.023  79%   Other
% 0.20/0.49  ;     0.029        Total
% 0.20/0.49  ;     0.032        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 20 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 7 entries (9 at peak, 13 added, 6 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 18 nodes (34 at peak, 51 added, 33 deleted).
% 0.20/0.49  ;  Retrieved 1 possibly forward subsuming row in 14 calls.
% 0.20/0.49  ;  Retrieved 1 possibly backward subsumed row in 13 calls.
% 0.20/0.49  ; Path-index has 22 entries (22 at peak, 28 added, 6 deleted).
% 0.20/0.49  ; Path-index has 27 nodes (27 at peak, 31 added, 4 deleted).
% 0.20/0.49  ; Trie-index has 22 entries (22 at peak, 28 added, 6 deleted).
% 0.20/0.49  ; Trie-index has 28 nodes (28 at peak, 32 added, 4 deleted).
% 0.20/0.49  ; Retrieved 16 generalization terms in 20 calls.
% 0.20/0.49  ; Retrieved 11 instance terms in 9 calls.
% 0.20/0.49  ; Retrieved 121 unifiable terms in 79 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of rows to process has 1 entry:
% 0.20/0.49  ;     1 with value 4
% 0.20/0.49  ; The agenda of rows to give has 3 entries:
% 0.20/0.49  ;     2 with value (4 4)           1 with value (4 6)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.032 seconds of real time
% 0.20/0.49    0.025135 seconds of user run time
% 0.20/0.49    0.007072 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    2,427,808 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T16:32:52
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------