TSTP Solution File: LAT034-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 06:41:57 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% 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 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
    meet(X,join(X,Y)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

cnf(absorption2,axiom,
    join(X,meet(X,Y)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

cnf(idempotence_of_meet,negated_conjecture,
    meet(xx,xx) != xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).

cnf(12,plain,
    meet(X,X) = X,
    inference('PARAMODULATE',[status(thm)],[absorption1,absorption2,theory(equality)]) ).

cnf(14,plain,
    $false,
    inference('REWRITE',[status(thm)],[idempotence_of_meet,12,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 30 07:12:52 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T07:12:52
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-30T07:12:52
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (= (|meet| ?X ?Y) (|meet| ?Y ?X)).
% 0.20/0.48  ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.20/0.48  ; Recognized associativity assertion (= (|meet| (|meet| ?X ?Y) ?Z) (|meet| ?X (|meet| ?Y ?Z))).
% 0.20/0.48  ; Recognized associativity assertion (= (|join| (|join| ?X ?Y) ?Z) (|join| ?X (|join| ?Y ?Z))).
% 0.20/0.48  ; Declaring meet to be commutative.
% 0.20/0.48  ; Declaring meet to be associative-commutative.
% 0.20/0.48  ; Declaring join to be commutative.
% 0.20/0.50  ; Declaring join to be associative-commutative.
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        75 formulas have been input or derived (from 5 formulas).
% 0.20/0.50  ;        14 (19%) were retained.  Of these,
% 0.20/0.50  ;            1 ( 7%) were simplified or subsumed later,
% 0.20/0.50  ;           13 (93%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   3%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   3%   Assert                       (7 calls)
% 0.20/0.50  ;     0.000   0%   Process new row              (43 calls)
% 0.20/0.50  ;     0.000   0%   Resolution                   (8 calls)
% 0.20/0.50  ;     0.002   6%   Paramodulation               (4 calls)
% 0.20/0.50  ;     0.001   3%   Embedding                    (6 calls)
% 0.20/0.50  ;     0.004  12%   Forward simplification       (37 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (8 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (30 calls)
% 0.20/0.50  ;     0.001   3%   Ordering ac                  (12 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.022  69%   Other
% 0.20/0.50  ;     0.032        Total
% 0.20/0.50  ;     0.033        Real time
% 0.20/0.50  ; 
% 0.20/0.51  ; Term-hash-array has 48 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51  ; Path-index has 47 entries (47 at peak, 50 added, 3 deleted).
% 0.20/0.51  ; Path-index has 36 nodes (39 at peak, 40 added, 4 deleted).
% 0.20/0.51  ; Trie-index has 47 entries (47 at peak, 50 added, 3 deleted).
% 0.20/0.51  ; Trie-index has 11 nodes (12 at peak, 13 added, 2 deleted).
% 0.20/0.51  ; Retrieved 157 generalization terms in 121 calls.
% 0.20/0.51  ; Retrieved 29 instance terms in 7 calls.
% 0.20/0.51  ; Retrieved 31 unifiable terms in 19 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 25 entries:
% 0.20/0.51  ;     1 with value 8               2 with value 15               2 with value 25
% 0.20/0.51  ;     2 with value 10              2 with value 17               1 with value 26
% 0.20/0.51  ;     4 with value 11              1 with value 19               1 with value 27
% 0.20/0.51  ;     2 with value 12              2 with value 20               1 with value 31
% 0.20/0.51  ;     2 with value 13              1 with value 22               1 with value 33
% 0.20/0.51  ; The agenda of input rows to give has 1 entry:
% 0.20/0.51  ;     1 with value 10
% 0.20/0.51  ; The agenda of rows to give has 8 entries:
% 0.20/0.51  ;     2 with value (4 8)           2 with value (4 24)           2 with value (4 30)
% 0.20/0.51  ;     2 with value (4 21)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.034 seconds of real time
% 0.20/0.51    0.029403 seconds of user run time
% 0.20/0.51    0.00401 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,764,416 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T07:12:52
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------