TSTP Solution File: LAT031-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 06:41:56 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   4 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
    meet(X,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).

cnf(absorption2,axiom,
    join(X,meet(X,Y)) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).

cnf(dist_meet,hypothesis,
    meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_meet) ).

cnf(dist_join,negated_conjecture,
    join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dist_join) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[dist_join,absorption2,idempotence_of_meet,dist_meet,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.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 : Wed Jun 29 01:03:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T01:03:03
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-29T01:03:03
% 0.18/0.46  
% 0.18/0.46  ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.18/0.46  ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.18/0.46  ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.18/0.46  ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.18/0.46  ; Declaring meet to be commutative.
% 0.18/0.46  ; Declaring meet to be associative-commutative.
% 0.18/0.46  ; Declaring join to be commutative.
% 0.18/0.48  ; Declaring join to be associative-commutative.
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  ||#
% 0.18/0.48  
% 0.18/0.48  ; Summary of computation:
% 0.18/0.48  ;        17 formulas have been input or derived (from 1 formulas).
% 0.18/0.48  ;        12 (71%) were retained.  Of these,
% 0.18/0.48  ;            3 (25%) were simplified or subsumed later,
% 0.18/0.48  ;            9 (75%) are still being kept.
% 0.18/0.48  ; 
% 0.18/0.48  ; Run time in seconds excluding printing time:
% 0.18/0.48  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.48  ;     0.001   4%   Assert                       (10 calls)
% 0.18/0.48  ;     0.001   4%   Process new row              (15 calls)
% 0.18/0.48  ;     0.000   0%   Embedding                    (5 calls)
% 0.18/0.48  ;     0.001   4%   Forward simplification       (10 calls)
% 0.18/0.48  ;     0.000   0%   Backward simplification      (6 calls)
% 0.18/0.48  ;     0.000   0%   Ordering                     (10 calls)
% 0.18/0.48  ;     0.000   0%   Ordering ac                  (4 calls)
% 0.18/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.022  81%   Other
% 0.18/0.48  ;     0.027        Total
% 0.18/0.48  ;     0.027        Real time
% 0.18/0.48  ; 
% 0.18/0.48  ; Term-hash-array has 27 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.48  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.48  ; Path-index has 26 entries (26 at peak, 30 added, 4 deleted).
% 0.18/0.48  ; Path-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.18/0.48  ; Trie-index has 26 entries (26 at peak, 30 added, 4 deleted).
% 0.18/0.48  ; Trie-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.18/0.48  ; Retrieved 38 generalization terms in 23 calls.
% 0.18/0.48  ; Retrieved 7 instance terms in 5 calls.
% 0.18/0.48  ; 
% 0.18/0.48  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.18/0.48  ;     1 with value 0
% 0.18/0.48  ; The agenda of input rows to give has 8 entries:
% 0.18/0.48  ;     4 with value 7               2 with value 10               2 with value 16
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.028 seconds of real time
% 0.18/0.48    0.022697 seconds of user run time
% 0.18/0.48    0.005322 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    1,514,752 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T01:03:03
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  * 
%------------------------------------------------------------------------------