TSTP Solution File: GEO562+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% 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 : Sat Jul 16 06:16:43 EDT 2022
% Result : Theorem 27.53s 27.71s
% Output : Refutation 27.53s
% 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 252 ( 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('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(113,negated_conjecture,
perp('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
cnf(122,negated_conjecture,
~ eqangle('SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
cnf(136,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(153,plain,
~ eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[19,122]) ).
cnf(194,plain,
para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,136,113]) ).
cnf(263,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,194]) ).
cnf(1934,plain,
~ eqangle('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[17,153]) ).
cnf(2442,plain,
~ eqangle('SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[18,1934]) ).
cnf(2455,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,263]) ).
cnf(2456,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,263]) ).
cnf(5097,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2456]) ).
cnf(5103,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,5097]) ).
cnf(5110,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,5103,5103]) ).
cnf(13543,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,5110,5110]) ).
cnf(13547,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,13543]) ).
cnf(13549,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,13543]) ).
cnf(13555,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[13549,2455]) ).
cnf(13602,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,13555,13555]) ).
cnf(13606,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,13602,13602]) ).
cnf(13637,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,13606,13606]) ).
cnf(13638,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,13637]) ).
cnf(13639,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,13637]) ).
cnf(13640,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,13637]) ).
cnf(13641,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,13637]) ).
cnf(13661,plain,
~ eqangle(X,'SKOLEMAAAV27',X,'SKOLEMAAAV22','SKOLEMAAAV29','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[21,13640,2442]) ).
cnf(13666,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[13641,13640]) ).
cnf(13706,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[13638,13666,13666]) ).
cnf(13711,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,13706]) ).
cnf(13713,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[13639,13706]) ).
cnf(13717,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[13547,13713,13640]) ).
cnf(13755,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[13711,13717]) ).
cnf(13756,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,13755]) ).
cnf(13758,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,13756]) ).
cnf(13759,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,13756]) ).
cnf(13760,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,13759]) ).
cnf(13762,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,13759]) ).
cnf(13767,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[13760,13717]) ).
cnf(13768,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,13767]) ).
cnf(13770,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[13758,13767]) ).
cnf(13773,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,13770]) ).
cnf(13774,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[13768,13773]) ).
cnf(13799,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,13774,13762]) ).
cnf(13800,plain,
$false,
inference('REWRITE',[status(thm)],[13661,13799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 16:35:43 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:35:43
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T16:35:43
% 0.21/0.54
% 0.21/0.55 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.55 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 27.53/27.71 ; Declaring coll to be commutative.
% 27.53/27.71
% 27.53/27.71 #||
% 27.53/27.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.53/27.71 % SZS output start Refutation
% See solution above
% 27.53/27.72 ||#
% 27.53/27.72
% 27.53/27.72 ; Summary of computation:
% 27.53/27.72 ; 104868 formulas have been input or derived (from 1000 formulas).
% 27.53/27.72 ; 13800 (13%) were retained. Of these,
% 27.53/27.72 ; 13707 (99%) were simplified or subsumed later,
% 27.53/27.72 ; 93 ( 1%) are still being kept.
% 27.53/27.72 ;
% 27.53/27.72 ; Run time in seconds excluding printing time:
% 27.53/27.72 ; 0.031 0% Read assertion file (1 call)
% 27.53/27.72 ; 0.005 0% Assert (95 calls)
% 27.53/27.72 ; 0.851 3% Process new row (103,493 calls)
% 27.53/27.72 ; 24.617 90% Resolution (1,998 calls)
% 27.53/27.72 ; 0.007 0% Paramodulation (999 calls)
% 27.53/27.72 ; 0.003 0% Condensing (154 calls)
% 27.53/27.72 ; 0.002 0% Forward subsumption (154 calls)
% 27.53/27.72 ; 0.004 0% Backward subsumption (152 calls)
% 27.53/27.72 ; 0.002 0% Clause clause subsumption (195 calls)
% 27.53/27.72 ; 0.316 1% Forward simplification (62,893 calls)
% 27.53/27.72 ; 1.062 4% Backward simplification (13,800 calls)
% 27.53/27.72 ; 0.001 0% Ordering (32 calls)
% 27.53/27.72 ; 0.001 0% Sortal reasoning (32 calls)
% 27.53/27.72 ; 0.000 0% Purity testing (1 call)
% 27.53/27.72 ; 0.303 1% Other
% 27.53/27.72 ; 27.205 Total
% 27.53/27.72 ; 27.222 Real time
% 27.53/27.72 ;
% 27.53/27.72 ; Term-hash-array has 19,526 terms in all.
% 27.53/27.72 ; Feature-vector-row-index has 26 entries (121 at peak, 152 added, 126 deleted).
% 27.53/27.72 ; Feature-vector-row-index has 26 nodes (222 at peak, 258 added, 232 deleted).
% 27.53/27.72 ; Retrieved 164 possibly forward subsuming rows in 154 calls.
% 27.53/27.72 ; Retrieved 69 possibly backward subsumed rows in 152 calls.
% 27.53/27.72 ; Path-index has 111 entries (17,298 at peak, 19,571 added, 19,460 deleted).
% 27.53/27.72 ; Path-index has 658 nodes (1,657 at peak, 2,176 added, 1,518 deleted).
% 27.53/27.72 ; Trie-index has 111 entries (17,298 at peak, 19,571 added, 19,460 deleted).
% 27.53/27.72 ; Trie-index has 299 nodes (41,190 at peak, 46,912 added, 46,613 deleted).
% 27.53/27.72 ; Retrieved 80,661 generalization terms in 62,860 calls.
% 27.53/27.72 ; Retrieved 38,877 instance terms in 13,647 calls.
% 27.53/27.72 ; Retrieved 36,817,274 unifiable terms in 2,062,377 calls.
% 27.53/27.72 ;
% 27.53/27.72 ; The agenda of backward simplifiable rows to process has 1 entry:
% 27.53/27.72 ; 1 with value 0
% 27.53/27.72 ; The agenda of rows to process has 15 entries:
% 27.53/27.72 ; 15 with value 11
% 27.53/27.72 ; The agenda of input rows to give has 1 entry:
% 27.53/27.72 ; 1 with value 10
% 27.53/27.72 ; The agenda of rows to give has 46 entries:
% 27.53/27.72 ; 3 with value (4 7) 9 with value (4 11) 4 with value (4 13)
% 27.53/27.72 ; 1 with value (4 8) 3 with value (4 12) 26 with value (4 14)
% 27.53/27.72 Evaluation took:
% 27.53/27.72 27.223 seconds of real time
% 27.53/27.72 26.743752 seconds of user run time
% 27.53/27.72 0.478607 seconds of system run time
% 27.53/27.72 [Run times include 1.191 seconds GC run time.]
% 27.53/27.72 0 calls to %EVAL
% 27.53/27.72 0 page faults and
% 27.53/27.72 1,902,246,568 bytes consed.
% 27.53/27.72 :PROOF-FOUND
% 27.53/27.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:36:10
% 27.53/27.72 :PROOF-FOUND
% 27.53/27.72 *
%------------------------------------------------------------------------------