TSTP Solution File: KRS160+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 03:29:05 EDT 2022

% Result   : Theorem 0.35s 0.52s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   22 (  10 unt;   3 nHn;  20 RR)
%            Number of literals    :   53 (   0 equ;  30 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(2,axiom,
    ~ cowlNothing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

cnf(3,axiom,
    ( ~ xsd_string(X)
    | ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(4,axiom,
    ( xsd_string(X)
    | xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

cnf(7,axiom,
    ( cC10(X)
    | ~ cC4(X)
    | ~ cC2(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(30,axiom,
    ( ~ cTEST(X)
    | cC12(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

cnf(32,axiom,
    cTEST(iV21080),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

cnf(36,axiom,
    cC4(iV21081),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

cnf(38,axiom,
    cC2(iV21081),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

cnf(39,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAU9')
    | cowlNothing('SKOLEMAAAU9')
    | ~ xsd_string('SKOLEMAAAU10')
    | xsd_integer('SKOLEMAAAU10')
    | ~ cowlThing(iV21080)
    | ~ cC12(iV21080)
    | ~ cC10(iV21081)
    | ~ cowlThing(iV21081) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(40,plain,
    ( ~ xsd_string('SKOLEMAAAU10')
    | xsd_integer('SKOLEMAAAU10')
    | ~ cC12(iV21080)
    | ~ cC10(iV21081) ),
    inference('REWRITE',[status(thm)],[39,2,1]) ).

cnf(41,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAU9')
    | cowlNothing('SKOLEMAAAU9')
    | xsd_string('SKOLEMAAAU10')
    | ~ xsd_integer('SKOLEMAAAU10')
    | ~ cowlThing(iV21080)
    | ~ cC12(iV21080)
    | ~ cC10(iV21081)
    | ~ cowlThing(iV21081) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

cnf(42,plain,
    ( xsd_string('SKOLEMAAAU10')
    | ~ xsd_integer('SKOLEMAAAU10')
    | ~ cC12(iV21080)
    | ~ cC10(iV21081) ),
    inference('REWRITE',[status(thm)],[41,2,1]) ).

cnf(43,plain,
    cC12(iV21080),
    inference('HYPERRESOLVE',[status(thm)],[30,32]) ).

cnf(44,plain,
    ( ~ xsd_string('SKOLEMAAAU10')
    | xsd_integer('SKOLEMAAAU10')
    | ~ cC10(iV21081) ),
    inference('REWRITE',[status(thm)],[40,43]) ).

cnf(45,plain,
    ( xsd_string('SKOLEMAAAU10')
    | ~ xsd_integer('SKOLEMAAAU10')
    | ~ cC10(iV21081) ),
    inference('REWRITE',[status(thm)],[42,43]) ).

cnf(48,plain,
    cC10(iV21081),
    inference('HYPERRESOLVE',[status(thm)],[7,36,38]) ).

cnf(49,plain,
    ( ~ xsd_string('SKOLEMAAAU10')
    | xsd_integer('SKOLEMAAAU10') ),
    inference('REWRITE',[status(thm)],[44,48]) ).

cnf(50,plain,
    ( xsd_string('SKOLEMAAAU10')
    | ~ xsd_integer('SKOLEMAAAU10') ),
    inference('REWRITE',[status(thm)],[45,48]) ).

cnf(51,plain,
    xsd_integer('SKOLEMAAAU10'),
    inference('HYPERRESOLVE',[status(thm)],[49,4]) ).

cnf(52,plain,
    xsd_string('SKOLEMAAAU10'),
    inference('REWRITE',[status(thm)],[50,51]) ).

cnf(53,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,52]),51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 08:39:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T08:39:20
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T08:39:20
% 0.35/0.52  
% 0.35/0.52  
% 0.35/0.52  #||
% 0.35/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.52  % SZS output start Refutation
% See solution above
% 0.35/0.52  ||#
% 0.35/0.52  
% 0.35/0.52  ; Summary of computation:
% 0.35/0.52  ;        61 formulas have been input or derived (from 29 formulas).
% 0.35/0.52  ;        53 (87%) were retained.  Of these,
% 0.35/0.52  ;            8 (15%) were simplified or subsumed later,
% 0.35/0.52  ;           45 (85%) are still being kept.
% 0.35/0.52  ; 
% 0.35/0.52  ; Run time in seconds excluding printing time:
% 0.35/0.52  ;     0.004  12%   Read assertion file          (1 call)
% 0.35/0.52  ;     0.001   3%   Assert                       (23 calls)
% 0.35/0.52  ;     0.004  12%   Process new row              (55 calls)
% 0.35/0.52  ;     0.000   0%   Resolution                   (56 calls)
% 0.35/0.52  ;     0.000   0%   Paramodulation               (28 calls)
% 0.35/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.35/0.52  ;     0.000   0%   Condensing                   (36 calls)
% 0.35/0.52  ;     0.000   0%   Forward subsumption          (36 calls)
% 0.35/0.52  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.35/0.52  ;     0.000   0%   Forward simplification       (55 calls)
% 0.35/0.52  ;     0.002   6%   Backward simplification      (51 calls)
% 0.35/0.52  ;     0.000   0%   Ordering                     (7 calls)
% 0.35/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.35/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.35/0.52  ;     0.023  68%   Other
% 0.35/0.52  ;     0.034        Total
% 0.35/0.52  ;     0.036        Real time
% 0.35/0.52  ; 
% 0.35/0.52  ; Term-hash-array has 51 terms in all.
% 0.35/0.52  ; Feature-vector-row-index has 30 entries (32 at peak, 36 added, 6 deleted).
% 0.35/0.52  ; Feature-vector-row-index has 60 nodes (77 at peak, 101 added, 41 deleted).
% 0.35/0.52  ;  Retrieved 3 possibly forward subsuming rows in 36 calls.
% 0.35/0.52  ;  Retrieved 1 possibly backward subsumed row in 36 calls.
% 0.35/0.52  ; Path-index has 55 entries (55 at peak, 63 added, 8 deleted).
% 0.35/0.52  ; Path-index has 102 nodes (102 at peak, 110 added, 8 deleted).
% 0.35/0.52  ; Trie-index has 55 entries (55 at peak, 63 added, 8 deleted).
% 0.35/0.52  ; Trie-index has 97 nodes (97 at peak, 105 added, 8 deleted).
% 0.35/0.52  ; Retrieved 13 generalization terms in 13 calls.
% 0.35/0.52  ; Retrieved 14 instance terms in 14 calls.
% 0.35/0.52  ; Retrieved 152 unifiable terms in 106 calls.
% 0.35/0.52  ; 
% 0.35/0.52  ; The agenda of input rows to give has 12 entries:
% 0.35/0.52  ;    10 with value 9               2 with value 10
% 0.35/0.52  ; The agenda of rows to give has 5 entries:
% 0.35/0.52  ;     3 with value (4 4)           2 with value (4 5)
% 0.35/0.52  Evaluation took:
% 0.35/0.52    0.036 seconds of real time
% 0.35/0.52    0.031375 seconds of user run time
% 0.35/0.52    0.005072 seconds of system run time
% 0.35/0.52    0 calls to %EVAL
% 0.35/0.52    0 page faults and
% 0.35/0.52    2,910,528 bytes consed.
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T08:39:20
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  * 
%------------------------------------------------------------------------------