TSTP Solution File: SYN350-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 11:59:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   3 unt;   3 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

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

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

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

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

cnf(9,plain,
    ( f(a,z(X,a))
    | f(X,z(X,a)) ),
    inference('FACTOR',[status(thm)],[clause3]) ).

cnf(15,plain,
    f(z(a,a),a),
    inference('HYPERRESOLVE',[status(thm)],[clause1,9]) ).

cnf(23,plain,
    f(a,z(z(a,a),a)),
    inference('HYPERRESOLVE',[status(thm)],[clause5,15]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause6,15]),23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n007.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 Jul 12 01:30:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:30:48
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-12T01:30:48
% 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  ;       141 formulas have been input or derived (from 13 formulas).
% 0.19/0.50  ;        24 (17%) were retained.  Of these,
% 0.19/0.50  ;            3 (12%) were simplified or subsumed later,
% 0.19/0.50  ;           21 (88%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds:
% 0.19/0.50  ;     0.002   5%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (6 calls)
% 0.19/0.50  ;     0.002   5%   Process new row              (60 calls)
% 0.19/0.50  ;     0.007  18%   Resolution                   (24 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (12 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (4 calls)
% 0.19/0.50  ;     0.001   3%   Condensing                   (36 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (36 calls)
% 0.19/0.50  ;     0.001   3%   Backward subsumption         (18 calls)
% 0.19/0.51  ;     0.001   3%   Clause clause subsumption    (102 calls)
% 0.19/0.51  ;     0.001   3%   Forward simplification       (53 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (24 calls)
% 0.19/0.51  ;     0.002   5%   Ordering                     (612 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.51  ;     0.020  51%   Other
% 0.19/0.51  ;     0.039        Total
% 0.19/0.51  ;     0.040        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 43 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 16 entries (18 at peak, 18 added, 2 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 115 possibly forward subsuming rows in 36 calls.
% 0.19/0.51  ;  Retrieved 32 possibly backward subsumed rows in 18 calls.
% 0.19/0.51  ; Path-index has 42 entries (42 at peak, 44 added, 2 deleted).
% 0.19/0.51  ; Path-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 42 entries (42 at peak, 44 added, 2 deleted).
% 0.19/0.51  ; Trie-index has 71 nodes (71 at peak, 73 added, 2 deleted).
% 0.19/0.51  ; Retrieved 13 generalization terms in 65 calls.
% 0.19/0.51  ; Retrieved 7 instance terms in 5 calls.
% 0.19/0.51  ; Retrieved 1,173 unifiable terms in 275 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 12
% 0.19/0.51  ; The agenda of rows to give has 10 entries:
% 0.19/0.51  ;     1 with value (4 8)           2 with value (4 15)           3 with value (4 30)
% 0.19/0.51  ;     1 with value (4 12)          1 with value (4 22)           2 with value (4 37)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.04 seconds of real time
% 0.19/0.51    0.035792 seconds of user run time
% 0.19/0.51    0.004853 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    2,341,840 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:30:48
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------