TSTP Solution File: GEO576+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 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 : Sat Jul 16 06:16:47 EDT 2022
% Result : Theorem 5.32s 5.50s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 26
% Syntax : Number of clauses : 67 ( 34 unt; 0 nHn; 36 RR)
% Number of literals : 122 ( 0 equ; 60 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 251 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
cnf(8,axiom,
( ~ perp(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
cnf(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
cnf(20,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(X,Y,V,W,Z,U,X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
cnf(39,axiom,
( ~ para(X,Y,Z,U)
| eqangle(X,Y,V,W,Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
cnf(40,axiom,
( ~ cyclic(X,Y,Z,U)
| eqangle(Z,X,Z,Y,U,X,U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
cnf(42,axiom,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| ~ coll(X,U,Z)
| cyclic(Y,Z,X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
cnf(43,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| ~ cyclic(X,Y,Z,W)
| ~ eqangle(Z,X,Z,Y,W,U,W,V)
| cong(X,Y,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
cnf(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
cnf(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
cnf(57,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| ~ cyclic(X,Z,Y,U)
| perp(Y,X,X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(117,negated_conjecture,
perp('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU26','SKOLEMAAAU27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214038) ).
cnf(119,negated_conjecture,
~ eqangle('SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214038) ).
cnf(128,plain,
perp('SKOLEMAAAU26','SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[7,117]) ).
cnf(138,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU27'),
inference('UR-RESOLVE',[status(thm)],[17,119]) ).
cnf(162,plain,
para('SKOLEMAAAU26','SKOLEMAAAU27','SKOLEMAAAU26','SKOLEMAAAU27'),
inference('HYPERRESOLVE',[status(thm)],[8,128,117]) ).
cnf(198,plain,
eqangle('SKOLEMAAAU26','SKOLEMAAAU27',X,Y,'SKOLEMAAAU26','SKOLEMAAAU27',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,162]) ).
cnf(1202,plain,
~ eqangle('SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU24'),
inference('UR-RESOLVE',[status(thm)],[19,138]) ).
cnf(1445,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU27','SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU24'),
inference('UR-RESOLVE',[status(thm)],[17,1202]) ).
cnf(1586,plain,
eqangle('SKOLEMAAAU26','SKOLEMAAAU27','SKOLEMAAAU26','SKOLEMAAAU27',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,198]) ).
cnf(1587,plain,
eqangle(X,Y,'SKOLEMAAAU26','SKOLEMAAAU27',X,Y,'SKOLEMAAAU26','SKOLEMAAAU27'),
inference('HYPERRESOLVE',[status(thm)],[18,198]) ).
cnf(2081,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU24','SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU27'),
inference('UR-RESOLVE',[status(thm)],[19,1445]) ).
cnf(3073,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1587]) ).
cnf(3079,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3073]) ).
cnf(3084,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3079,3079]) ).
cnf(4394,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3084,3084]) ).
cnf(4398,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4394]) ).
cnf(4400,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4394]) ).
cnf(4405,plain,
cyclic('SKOLEMAAAU27','SKOLEMAAAU27','SKOLEMAAAU26',X),
inference('HYPERRESOLVE',[status(thm)],[4400,1586]) ).
cnf(4419,plain,
cyclic('SKOLEMAAAU27','SKOLEMAAAU26',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,4405,4405]) ).
cnf(4425,plain,
cyclic('SKOLEMAAAU26',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,4419,4419]) ).
cnf(4451,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4425,4425]) ).
cnf(4452,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4451]) ).
cnf(4453,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4451]) ).
cnf(4454,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4451]) ).
cnf(4455,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4451]) ).
cnf(4483,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4455,4454]) ).
cnf(4506,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4452,4483,4483]) ).
cnf(4511,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4506]) ).
cnf(4513,plain,
circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4453,4506]) ).
cnf(4517,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4398,4513,4454]) ).
cnf(4556,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[4511,4517]) ).
cnf(4557,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,4556]) ).
cnf(4559,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,4557]) ).
cnf(4560,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,4557]) ).
cnf(4561,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,4560]) ).
cnf(4563,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,4560]) ).
cnf(4568,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4561,4517]) ).
cnf(4569,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,4568]) ).
cnf(4571,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[4559,4568]) ).
cnf(4574,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,4571]) ).
cnf(4575,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[4569,4574]) ).
cnf(4595,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,4575,4563]) ).
cnf(4596,plain,
$false,
inference('REWRITE',[status(thm)],[2081,4595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % 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 : Fri Jun 17 17:09:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:09:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-17T17:09:53
% 0.18/0.50
% 0.18/0.50 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.50 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 5.32/5.50 ; Declaring coll to be commutative.
% 5.32/5.50
% 5.32/5.50 #||
% 5.32/5.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.32/5.50 % SZS output start Refutation
% See solution above
% 5.32/5.50 ||#
% 5.32/5.50
% 5.32/5.50 ; Summary of computation:
% 5.32/5.50 ; 33094 formulas have been input or derived (from 705 formulas).
% 5.32/5.50 ; 4596 (14%) were retained. Of these,
% 5.32/5.50 ; 4505 (98%) were simplified or subsumed later,
% 5.32/5.50 ; 91 ( 2%) are still being kept.
% 5.32/5.50 ;
% 5.32/5.50 ; Run time in seconds excluding printing time:
% 5.32/5.50 ; 0.031 1% Read assertion file (1 call)
% 5.32/5.50 ; 0.005 0% Assert (95 calls)
% 5.32/5.50 ; 0.232 5% Process new row (31,963 calls)
% 5.32/5.50 ; 4.327 86% Resolution (1,408 calls)
% 5.32/5.50 ; 0.003 0% Paramodulation (704 calls)
% 5.32/5.50 ; 0.002 0% Condensing (160 calls)
% 5.32/5.50 ; 0.005 0% Forward subsumption (160 calls)
% 5.32/5.50 ; 0.002 0% Backward subsumption (158 calls)
% 5.32/5.50 ; 0.000 0% Clause clause subsumption (195 calls)
% 5.32/5.50 ; 0.078 2% Forward simplification (21,520 calls)
% 5.32/5.50 ; 0.236 5% Backward simplification (4,596 calls)
% 5.32/5.50 ; 0.001 0% Ordering (44 calls)
% 5.32/5.50 ; 0.000 0% Sortal reasoning (32 calls)
% 5.32/5.50 ; 0.001 0% Purity testing (1 call)
% 5.32/5.50 ; 0.116 2% Other
% 5.32/5.50 ; 5.039 Total
% 5.32/5.50 ; 5.043 Real time
% 5.32/5.50 ;
% 5.32/5.50 ; Term-hash-array has 6,151 terms in all.
% 5.32/5.50 ; Feature-vector-row-index has 26 entries (127 at peak, 158 added, 132 deleted).
% 5.32/5.50 ; Feature-vector-row-index has 26 nodes (269 at peak, 305 added, 279 deleted).
% 5.32/5.50 ; Retrieved 164 possibly forward subsuming rows in 160 calls.
% 5.32/5.50 ; Retrieved 69 possibly backward subsumed rows in 158 calls.
% 5.32/5.50 ; Path-index has 104 entries (4,710 at peak, 6,193 added, 6,089 deleted).
% 5.32/5.50 ; Path-index has 628 nodes (1,461 at peak, 1,941 added, 1,313 deleted).
% 5.32/5.50 ; Trie-index has 104 entries (4,710 at peak, 6,193 added, 6,089 deleted).
% 5.32/5.50 ; Trie-index has 308 nodes (12,477 at peak, 16,242 added, 15,934 deleted).
% 5.32/5.50 ; Retrieved 22,840 generalization terms in 21,502 calls.
% 5.32/5.50 ; Retrieved 16,698 instance terms in 4,437 calls.
% 5.32/5.50 ; Retrieved 6,551,724 unifiable terms in 326,481 calls.
% 5.32/5.50 ;
% 5.32/5.50 ; The agenda of backward simplifiable rows to process has 1 entry:
% 5.32/5.50 ; 1 with value 0
% 5.32/5.50 ; The agenda of rows to process has 15 entries:
% 5.32/5.50 ; 15 with value 11
% 5.32/5.50 ; The agenda of input rows to give has 1 entry:
% 5.32/5.50 ; 1 with value 10
% 5.32/5.50 ; The agenda of rows to give has 44 entries:
% 5.32/5.50 ; 3 with value (4 7) 3 with value (4 12) 22 with value (4 14)
% 5.32/5.50 ; 1 with value (4 8) 4 with value (4 13) 2 with value (4 15)
% 5.32/5.50 ; 9 with value (4 11)
% 5.32/5.50 Evaluation took:
% 5.32/5.50 5.044 seconds of real time
% 5.32/5.50 4.904716 seconds of user run time
% 5.32/5.50 0.13894 seconds of system run time
% 5.32/5.50 [Run times include 0.234 seconds GC run time.]
% 5.32/5.50 0 calls to %EVAL
% 5.32/5.50 0 page faults and
% 5.32/5.50 361,986,736 bytes consed.
% 5.32/5.50 :PROOF-FOUND
% 5.32/5.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:09:58
% 5.32/5.50 :PROOF-FOUND
% 5.32/5.50 *
%------------------------------------------------------------------------------