TSTP Solution File: KRS169+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 03:29:07 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  14 RR)
%            Number of literals    :   37 (   0 equ;  20 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 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/sandbox/benchmark/theBenchmark.p',axiom_0) ).

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

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

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

cnf(5,axiom,
    rhasLeader(iX,iY),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(6,axiom,
    ( ~ rhasLeader(X,Y)
    | rhasHead(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(8,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ cowlThing(iX)
    | ~ rhasHead(iX,iY)
    | ~ cowlThing(iY) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(9,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2')
    | ~ rhasHead(iX,iY) ),
    inference('REWRITE',[status(thm)],[8,2,1]) ).

cnf(10,negated_conjecture,
    ( ~ cowlThing('SKOLEMAAAV1')
    | cowlNothing('SKOLEMAAAV1')
    | xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ cowlThing(iX)
    | ~ rhasHead(iX,iY)
    | ~ cowlThing(iY) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

cnf(11,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2')
    | ~ rhasHead(iX,iY) ),
    inference('REWRITE',[status(thm)],[10,2,1]) ).

cnf(12,plain,
    rhasHead(iX,iY),
    inference('HYPERRESOLVE',[status(thm)],[6,5]) ).

cnf(13,plain,
    ( ~ xsd_string('SKOLEMAAAV2')
    | xsd_integer('SKOLEMAAAV2') ),
    inference('REWRITE',[status(thm)],[9,12]) ).

cnf(14,plain,
    ( xsd_string('SKOLEMAAAV2')
    | ~ xsd_integer('SKOLEMAAAV2') ),
    inference('REWRITE',[status(thm)],[11,12]) ).

cnf(15,plain,
    xsd_integer('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[13,4]) ).

cnf(16,plain,
    xsd_string('SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[14,15]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,16]),15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 13:21:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-07T13:21:10
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-07T13:21:10
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  #||
% 0.21/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  % SZS output start Refutation
% See solution above
% 0.21/0.51  ||#
% 0.21/0.51  
% 0.21/0.51  ; Summary of computation:
% 0.21/0.51  ;        20 formulas have been input or derived (from 9 formulas).
% 0.21/0.51  ;        17 (85%) were retained.  Of these,
% 0.21/0.51  ;            6 (35%) were simplified or subsumed later,
% 0.21/0.51  ;           11 (65%) are still being kept.
% 0.21/0.51  ; 
% 0.21/0.51  ; Run time in seconds excluding printing time:
% 0.21/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.21/0.51  ;     0.001   4%   Assert                       (7 calls)
% 0.21/0.51  ;     0.001   4%   Process new row              (17 calls)
% 0.21/0.51  ;     0.000   0%   Resolution                   (16 calls)
% 0.21/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.21/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.51  ;     0.000   0%   Condensing                   (8 calls)
% 0.21/0.51  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.21/0.51  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.21/0.51  ;     0.001   4%   Forward simplification       (17 calls)
% 0.21/0.51  ;     0.000   0%   Backward simplification      (15 calls)
% 0.21/0.51  ;     0.000   0%   Ordering                     (1 call)
% 0.21/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.51  ;     0.022  85%   Other
% 0.21/0.51  ;     0.026        Total
% 0.21/0.51  ;     0.029        Real time
% 0.21/0.51  ; 
% 0.21/0.51  ; Term-hash-array has 10 terms in all.
% 0.21/0.51  ; Feature-vector-row-index has 4 entries (6 at peak, 8 added, 4 deleted).
% 0.21/0.51  ; Feature-vector-row-index has 9 nodes (25 at peak, 35 added, 26 deleted).
% 0.21/0.51  ;  Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.21/0.51  ;  Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.21/0.51  ; Path-index has 14 entries (14 at peak, 18 added, 4 deleted).
% 0.21/0.51  ; Path-index has 29 nodes (29 at peak, 33 added, 4 deleted).
% 0.21/0.51  ; Trie-index has 14 entries (14 at peak, 18 added, 4 deleted).
% 0.21/0.51  ; Trie-index has 25 nodes (25 at peak, 29 added, 4 deleted).
% 0.21/0.51  ; Retrieved 11 generalization terms in 13 calls.
% 0.21/0.51  ; Retrieved 6 instance terms in 6 calls.
% 0.21/0.51  ; Retrieved 38 unifiable terms in 32 calls.
% 0.21/0.51  ; 
% 0.21/0.51  ; The agenda of input rows to give has 1 entry:
% 0.21/0.51  ;     1 with value 8
% 0.21/0.51  ; The agenda of rows to give has 2 entries:
% 0.21/0.51  ;     1 with value (4 4)           1 with value (4 5)
% 0.21/0.51  Evaluation took:
% 0.21/0.51    0.029 seconds of real time
% 0.21/0.51    0.025153 seconds of user run time
% 0.21/0.51    0.003801 seconds of system run time
% 0.21/0.51    0 calls to %EVAL
% 0.21/0.51    0 page faults and
% 0.21/0.51    2,231,240 bytes consed.
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T13:21:10
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  * 
%------------------------------------------------------------------------------