TSTP Solution File: SYN347-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 : Thu Jul 21 11:59:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   2 unt;   7 nHn;   8 RR)
%            Number of literals    :   27 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X,y(X,Y))
    | ~ f(Y,y(X,Y))
    | f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause2,negated_conjecture,
    ( ~ f(X,y(X,Y))
    | f(Y,y(X,Y))
    | f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause3,negated_conjecture,
    ( ~ f(X,y(X,Y))
    | ~ f(Y,y(X,Y))
    | ~ f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(clause4,negated_conjecture,
    ( f(X,y(X,Y))
    | f(Y,y(X,Y))
    | ~ f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ( f(a,y(X,Y))
    | f(b,y(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,y(X,Y))
    | ~ f(b,y(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(7,plain,
    ( f(a,y(X,b))
    | f(X,y(X,b))
    | f(a,b) ),
    inference('HYPERRESOLVE',[status(thm)],[clause1,clause5]) ).

cnf(9,plain,
    ( f(a,b)
    | f(b,y(a,b)) ),
    inference('HYPERRESOLVE',[status(thm)],[clause2,7]) ).

cnf(11,plain,
    f(a,b),
    inference('HYPERRESOLVE',[status(thm)],[clause6,9,7]) ).

cnf(12,plain,
    ( ~ f(X,y(X,Y))
    | ~ f(Y,y(X,Y)) ),
    inference('REWRITE',[status(thm)],[clause3,11]) ).

cnf(13,plain,
    ( f(X,y(X,Y))
    | f(Y,y(X,Y)) ),
    inference('REWRITE',[status(thm)],[clause4,11]) ).

cnf(15,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[12,13,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 21:35:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:35:07
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T21:35:07
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        35 formulas have been input or derived (from 11 formulas).
% 0.19/0.50  ;        15 (43%) were retained.  Of these,
% 0.19/0.50  ;            8 (53%) were simplified or subsumed later,
% 0.19/0.50  ;            7 (47%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (6 calls)
% 0.19/0.50  ;     0.000   0%   Process new row              (20 calls)
% 0.19/0.50  ;     0.001   3%   Resolution                   (20 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (10 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (4 calls)
% 0.19/0.50  ;     0.001   3%   Condensing                   (16 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (16 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (16 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (19 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (15 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (54 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  79%   Other
% 0.19/0.50  ;     0.029        Total
% 0.19/0.50  ;     0.031        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 17 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 4 entries (10 at peak, 12 added, 8 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 15 nodes (54 at peak, 58 added, 43 deleted).
% 0.19/0.50  ;  Retrieved 14 possibly forward subsuming rows in 16 calls.
% 0.19/0.50  ;  Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.19/0.50  ; Path-index has 10 entries (17 at peak, 21 added, 11 deleted).
% 0.19/0.50  ; Path-index has 24 nodes (26 at peak, 31 added, 7 deleted).
% 0.19/0.50  ; Trie-index has 10 entries (17 at peak, 21 added, 11 deleted).
% 0.19/0.50  ; Trie-index has 24 nodes (35 at peak, 43 added, 19 deleted).
% 0.19/0.50  ; Retrieved 0 generalization terms in 5 calls.
% 0.19/0.50  ; Retrieved 2 instance terms in 2 calls.
% 0.19/0.50  ; Retrieved 227 unifiable terms in 81 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 8 entries:
% 0.19/0.50  ;     1 with value 8               1 with value 14               6 with value 15
% 0.19/0.50  ; The agenda of rows to give has 2 entries:
% 0.19/0.50  ;     1 with value (4 7)           1 with value (4 8)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.032 seconds of real time
% 0.19/0.50    0.022439 seconds of user run time
% 0.19/0.50    0.009688 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,256,248 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:35:07
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------