TSTP Solution File: SYO663-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 19:44:51 EDT 2022
% Result : Unsatisfiable 0.70s 0.91s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 8 unt; 41 nHn; 40 RR)
% Number of literals : 186 ( 0 equ; 79 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 39 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_458,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_458) ).
cnf(clause_12,axiom,
( ~ iLEQ(suc(X),suc(Y))
| ~ 'E'(s('0'),f(Z))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(suc(U))))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(U))
| ~ iLEQ(suc(Z),suc(X))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(U)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ iLEQ(suc(U),suc(Z))
| ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(suc(Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_55,axiom,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55) ).
cnf(clause_312,axiom,
( ~ 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_312) ).
cnf(clause_324,axiom,
( ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(X)))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_324) ).
cnf(clause_216,axiom,
'LE'(f(X),s(s('0'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_216) ).
cnf(clause_539,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_539) ).
cnf(clause_325,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(X))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(U))
| ~ iLEQ(suc(Y),suc(Z))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(U),f(suc(U))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_325) ).
cnf(clause_371,axiom,
( ~ iLEQ(suc(X),suc(Y))
| ~ 'E'(s('0'),f(Z))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(U))
| ~ iLEQ(suc(Z),suc(X))
| ~ 'E'(s('0'),f(suc(U)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ iLEQ(suc(U),suc(Z))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(suc(Y)))
| 'E'(f(U),f(suc(U)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_371) ).
cnf(clause_292,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_292) ).
cnf(clause_93,axiom,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_93) ).
cnf(clause_327,axiom,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_327) ).
cnf(31,plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference('REWRITE',[status(thm)],[clause_327,clause_216]) ).
cnf(clause_593,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(X))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(suc(U))))
| ~ iLEQ(suc(U),suc(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'('0',f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(Y),suc(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_593) ).
cnf(clause_268,axiom,
( ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(suc(X)))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_268) ).
cnf(clause_448,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_448) ).
cnf(clause_564,axiom,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_564) ).
cnf(44,plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference('REWRITE',[status(thm)],[clause_564,clause_216]) ).
cnf(47,plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference('REWRITE',[status(thm)],[clause_312,clause_216]) ).
cnf(48,plain,
( 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_458,31]) ).
cnf(49,plain,
( 'E'(s('0'),f(suc(X)))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_458,44]) ).
cnf(50,plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_458,47]) ).
cnf(51,plain,
( 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_539,31]) ).
cnf(52,plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_539,44]) ).
cnf(53,plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_539,47]) ).
cnf(54,plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_93,31]) ).
cnf(55,plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_93,44]) ).
cnf(56,plain,
( 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_93,47]) ).
cnf(57,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,48]) ).
cnf(58,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,49]) ).
cnf(59,plain,
( 'E'('0',f(z))
| 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_268,58,57]) ).
cnf(60,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,50]) ).
cnf(62,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,51]) ).
cnf(63,plain,
( 'E'('0',f(z))
| 'E'(f(z),f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_371,59,57,58,57,57,59,58,58,59,57,58]) ).
cnf(64,plain,
( 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_55,63,60,58,57]) ).
cnf(65,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_12,64,57,58,60,57,57,64,63,63,58,58,60,64,60,57,63,63,58,60]) ).
cnf(66,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,52]) ).
cnf(67,plain,
( 'E'('0',f(suc(z)))
| 'E'(f(suc(z)),f(suc(suc(z))))
| iLEQ(suc(suc(z)),suc(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_268,66,62]) ).
cnf(68,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,53]) ).
cnf(70,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,54]) ).
cnf(71,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,55]) ).
cnf(72,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_268,71,70]) ).
cnf(73,plain,
( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
| 'E'('0',f(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_292,56]) ).
cnf(75,plain,
( 'E'('0',f(suc(z)))
| 'E'(f(suc(z)),f(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_371,67,62,66,62,62,67,66,66,67,62,66]) ).
cnf(76,plain,
( 'E'('0',f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_55,75,68,66,62]) ).
cnf(77,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_12,76,62,66,68,62,62,76,75,75,66,66,68,76,68,62,75,75,66,68]) ).
cnf(78,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_324,77,65]) ).
cnf(79,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_325,78,77,65,65,77,78,77,65,77,65,78]) ).
cnf(80,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(f(suc(suc(z))),f(suc(suc(suc(z))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_371,72,70,71,70,70,72,71,71,72,70,71]) ).
cnf(81,plain,
( 'E'('0',f(suc(suc(z))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_55,80,73,71,70]) ).
cnf(82,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_12,81,70,71,73,70,70,81,80,80,71,71,73,81,73,70,80,80,71,73]) ).
cnf(83,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_448,82,77,79,65]) ).
cnf(84,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_593,82,77,82,65,65,79,82,77,79,77,65,82,77,79,65,79]),83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Sat Jul 9 01:59:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 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 2022-07-09T01:59:11
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T01:59:11
% 0.70/0.91
% 0.70/0.91
% 0.70/0.91 #||
% 0.70/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.91 % SZS output start Refutation
% See solution above
% 0.70/0.92 ||#
% 0.70/0.92
% 0.70/0.92 ; Summary of computation:
% 0.70/0.92 ; 4898 formulas have been input or derived (from 77 formulas).
% 0.70/0.92 ; 84 ( 2%) were retained. Of these,
% 0.70/0.92 ; 25 (30%) were simplified or subsumed later,
% 0.70/0.92 ; 59 (70%) are still being kept.
% 0.70/0.92 ;
% 0.70/0.92 ; Run time in seconds excluding printing time:
% 0.70/0.92 ; 0.043 10% Read assertion file (1 call)
% 0.70/0.92 ; 0.015 3% Assert (44 calls)
% 0.70/0.92 ; 0.010 2% Process new row (99 calls)
% 0.70/0.92 ; 0.302 68% Resolution (152 calls)
% 0.70/0.92 ; 0.006 1% Paramodulation (76 calls)
% 0.70/0.92 ; 0.000 0% Factoring (31 calls)
% 0.70/0.92 ; 0.008 2% Condensing (82 calls)
% 0.70/0.92 ; 0.006 1% Forward subsumption (82 calls)
% 0.70/0.92 ; 0.002 0% Backward subsumption (74 calls)
% 0.70/0.92 ; 0.028 6% Clause clause subsumption (181 calls)
% 0.70/0.92 ; 0.006 1% Forward simplification (90 calls)
% 0.70/0.92 ; 0.002 0% Backward simplification (82 calls)
% 0.70/0.92 ; 0.000 0% Ordering (80 calls)
% 0.70/0.92 ; 0.001 0% Sortal reasoning (32 calls)
% 0.70/0.92 ; 0.000 0% Purity testing (1 call)
% 0.70/0.92 ; 0.016 4% Other
% 0.70/0.92 ; 0.445 Total
% 0.70/0.92 ; 0.453 Real time
% 0.70/0.92 ;
% 0.70/0.92 ; Term-hash-array has 95 terms in all.
% 0.70/0.92 ; Feature-vector-row-index has 51 entries (62 at peak, 74 added, 23 deleted).
% 0.70/0.92 ; Feature-vector-row-index has 243 nodes (356 at peak, 476 added, 233 deleted).
% 0.70/0.92 ; Retrieved 121 possibly forward subsuming rows in 82 calls.
% 0.70/0.92 ; Retrieved 67 possibly backward subsumed rows in 74 calls.
% 0.70/0.92 ; Path-index has 81 entries (93 at peak, 111 added, 30 deleted).
% 0.70/0.92 ; Path-index has 85 nodes (97 at peak, 121 added, 36 deleted).
% 0.70/0.92 ; Trie-index has 81 entries (93 at peak, 111 added, 30 deleted).
% 0.70/0.92 ; Trie-index has 88 nodes (128 at peak, 193 added, 105 deleted).
% 0.70/0.92 ; Retrieved 3 generalization terms in 62 calls.
% 0.70/0.92 ; Retrieved 8 instance terms in 7 calls.
% 0.70/0.92 ; Retrieved 127,040 unifiable terms in 38,614 calls.
% 0.70/0.92 ;
% 0.70/0.92 ; The agenda of rows to process has 3 entries:
% 0.70/0.92 ; 2 with value 16 1 with value 29
% 0.70/0.92 ; The agenda of rows to give has 1 entry:
% 0.70/0.92 ; 1 with value (4 16)
% 0.70/0.92 Evaluation took:
% 0.70/0.92 0.453 seconds of real time
% 0.70/0.92 0.446659 seconds of user run time
% 0.70/0.92 0.006485 seconds of system run time
% 0.70/0.92 [Run times include 0.013 seconds GC run time.]
% 0.70/0.92 0 calls to %EVAL
% 0.70/0.92 0 page faults and
% 0.70/0.92 53,796,664 bytes consed.
% 0.70/0.92 :PROOF-FOUND
% 0.70/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T01:59:11
% 0.70/0.92 :PROOF-FOUND
% 0.70/0.92 *
%------------------------------------------------------------------------------