1.1 --- a/doc-src/Dirs Fri May 14 22:30:24 2010 +0200
1.2 +++ b/doc-src/Dirs Fri May 14 22:43:00 2010 +0200
1.3 @@ -1,1 +1,1 @@
1.4 -Intro Ref System Logics HOL ZF Inductive TutorialI IsarOverview IsarRef IsarImplementation Locales LaTeXsugar Classes Codegen Functions Nitpick Main
1.5 +Intro Ref System Logics HOL ZF Inductive TutorialI IsarOverview IsarRef IsarImplementation Locales LaTeXsugar Classes Codegen Functions Nitpick Main Sledgehammer
2.1 --- a/doc-src/Makefile.in Fri May 14 22:30:24 2010 +0200
2.2 +++ b/doc-src/Makefile.in Fri May 14 22:43:00 2010 +0200
2.3 @@ -48,6 +48,9 @@
2.4 isabelle_nitpick.eps:
2.5 test -r isabelle_nitpick.eps || ln -s ../gfx/isabelle_nitpick.eps .
2.6
2.7 +isabelle_sledgehammer.eps:
2.8 + test -r isabelle_sledgehammer.eps || ln -s ../gfx/isabelle_sledgehammer.eps .
2.9 +
2.10
2.11 isabelle.pdf:
2.12 test -r isabelle.pdf || ln -s ../gfx/isabelle.pdf .
2.13 @@ -64,6 +67,9 @@
2.14 isabelle_nitpick.pdf:
2.15 test -r isabelle_nitpick.pdf || ln -s ../gfx/isabelle_nitpick.pdf .
2.16
2.17 +isabelle_sledgehammer.pdf:
2.18 + test -r isabelle_sledgehammer.pdf || ln -s ../gfx/isabelle_sledgehammer.pdf .
2.19 +
2.20 typedef.ps:
2.21 test -r typedef.ps || ln -s ../gfx/typedef.ps .
2.22
3.1 --- a/doc-src/Nitpick/nitpick.tex Fri May 14 22:30:24 2010 +0200
3.2 +++ b/doc-src/Nitpick/nitpick.tex Fri May 14 22:43:00 2010 +0200
3.3 @@ -81,7 +81,7 @@
3.4 \section{Introduction}
3.5 \label{introduction}
3.6
3.7 -Nitpick \cite{blanchette-nipkow-2009} is a counterexample generator for
3.8 +Nitpick \cite{blanchette-nipkow-2010} is a counterexample generator for
3.9 Isabelle/HOL \cite{isa-tutorial} that is designed to handle formulas
3.10 combining (co)in\-duc\-tive datatypes, (co)in\-duc\-tively defined predicates, and
3.11 quantifiers. It builds on Kodkod \cite{torlak-jackson-2007}, a highly optimized
3.12 @@ -111,6 +111,11 @@
3.13 must find a model for the axioms. If it finds no model, we have an indication
3.14 that the axioms might be unsatisfiable.
3.15
3.16 +You can also invoke Nitpick from the ``Commands'' submenu of the
3.17 +``Isabelle'' menu in Proof General or by pressing the Emacs key sequence C-c C-a
3.18 +C-n. This is equivalent to entering the \textbf{nitpick} command with no
3.19 +arguments in the theory text.
3.20 +
3.21 Nitpick requires the Kodkodi package for Isabelle as well as a Java 1.5 virtual
3.22 machine called \texttt{java}. The examples presented in this manual can be found
3.23 in Isabelle's \texttt{src/HOL/Nitpick\_Examples/Manual\_Nits.thy} theory.
3.24 @@ -137,6 +142,22 @@
3.25 suggesting several textual improvements.
3.26 % and Perry James for reporting a typo.
3.27
3.28 +%\section{Installation}
3.29 +%\label{installation}
3.30 +%
3.31 +%MISSING:
3.32 +%
3.33 +% * Nitpick is part of Isabelle/HOL
3.34 +% * but it relies on an external tool called Kodkodi (Kodkod wrapper)
3.35 +% * Two options:
3.36 +% * if you use a prebuilt Isabelle package, Kodkodi is automatically there
3.37 +% * if you work from sources, the latest Kodkodi can be obtained from ...
3.38 +% download it, install it in some directory of your choice (e.g.,
3.39 +% $ISABELLE_HOME/contrib/kodkodi), and add the absolute path to Kodkodi
3.40 +% in your .isabelle/etc/components file
3.41 +%
3.42 +% * If you're not sure, just try the example in the next section
3.43 +
3.44 \section{First Steps}
3.45 \label{first-steps}
3.46
3.47 @@ -184,6 +205,9 @@
3.48 \hbox{}\qquad\qquad $Q = \textit{False}$
3.49 \postw
3.50
3.51 +%FIXME: If you get the output:...
3.52 +%Then do such-and-such.
3.53 +
3.54 Nitpick can also be invoked on individual subgoals, as in the example below:
3.55
3.56 \prew
3.57 @@ -2017,17 +2041,17 @@
3.58 well-founded. The option can take the following values:
3.59
3.60 \begin{enum}
3.61 -\item[$\bullet$] \textbf{\textit{true}}: Tentatively treat the (co)in\-duc\-tive
3.62 +\item[$\bullet$] \textbf{\textit{true}:} Tentatively treat the (co)in\-duc\-tive
3.63 predicate as if it were well-founded. Since this is generally not sound when the
3.64 predicate is not well-founded, the counterexamples are tagged as ``quasi
3.65 genuine.''
3.66
3.67 -\item[$\bullet$] \textbf{\textit{false}}: Treat the (co)in\-duc\-tive predicate
3.68 +\item[$\bullet$] \textbf{\textit{false}:} Treat the (co)in\-duc\-tive predicate
3.69 as if it were not well-founded. The predicate is then unrolled as prescribed by
3.70 the \textit{star\_linear\_preds}, \textit{iter}~\qty{const}, and \textit{iter}
3.71 options.
3.72
3.73 -\item[$\bullet$] \textbf{\textit{smart}}: Try to prove that the inductive
3.74 +\item[$\bullet$] \textbf{\textit{smart}:} Try to prove that the inductive
3.75 predicate is well-founded using Isabelle's \textit{lexicographic\_order} and
3.76 \textit{size\_change} tactics. If this succeeds (or the predicate occurs with an
3.77 appropriate polarity in the formula to falsify), use an efficient fixed point
3.78 @@ -2080,10 +2104,10 @@
3.79 counterexamples. The option can take the following values:
3.80
3.81 \begin{enum}
3.82 -\item[$\bullet$] \textbf{\textit{true}}: Box the specified type whenever
3.83 +\item[$\bullet$] \textbf{\textit{true}:} Box the specified type whenever
3.84 practicable.
3.85 -\item[$\bullet$] \textbf{\textit{false}}: Never box the type.
3.86 -\item[$\bullet$] \textbf{\textit{smart}}: Box the type only in contexts where it
3.87 +\item[$\bullet$] \textbf{\textit{false}:} Never box the type.
3.88 +\item[$\bullet$] \textbf{\textit{smart}:} Box the type only in contexts where it
3.89 is likely to help. For example, $n$-tuples where $n > 2$ and arguments to
3.90 higher-order functions are good candidates for boxing.
3.91 \end{enum}
3.92 @@ -2107,8 +2131,8 @@
3.93 then take the following values:
3.94
3.95 \begin{enum}
3.96 -\item[$\bullet$] \textbf{\textit{false}}: Don't attempt to finitize the type.
3.97 -\item[$\bullet$] \textbf{\textit{true}} or \textbf{\textit{smart}}: Finitize the
3.98 +\item[$\bullet$] \textbf{\textit{false}:} Don't attempt to finitize the type.
3.99 +\item[$\bullet$] \textbf{\textit{true}} or \textbf{\textit{smart}:} Finitize the
3.100 type wherever possible.
3.101 \end{enum}
3.102
3.103 @@ -2116,11 +2140,11 @@
3.104 datatypes:
3.105
3.106 \begin{enum}
3.107 -\item[$\bullet$] \textbf{\textit{true}}: Finitize the datatype. Since this is
3.108 +\item[$\bullet$] \textbf{\textit{true}:} Finitize the datatype. Since this is
3.109 unsound, counterexamples generated under these conditions are tagged as ``quasi
3.110 genuine.''
3.111 -\item[$\bullet$] \textbf{\textit{false}}: Don't attempt to finitize the datatype.
3.112 -\item[$\bullet$] \textbf{\textit{smart}}: Perform a monotonicity analysis to
3.113 +\item[$\bullet$] \textbf{\textit{false}:} Don't attempt to finitize the datatype.
3.114 +\item[$\bullet$] \textbf{\textit{smart}:} Perform a monotonicity analysis to
3.115 detect whether the datatype can be safely finitized before finitizing it.
3.116 \end{enum}
3.117
3.118 @@ -2282,13 +2306,13 @@
3.119 Specifies the expected outcome, which must be one of the following:
3.120
3.121 \begin{enum}
3.122 -\item[$\bullet$] \textbf{\textit{genuine}}: Nitpick found a genuine counterexample.
3.123 -\item[$\bullet$] \textbf{\textit{quasi\_genuine}}: Nitpick found a ``quasi
3.124 +\item[$\bullet$] \textbf{\textit{genuine}:} Nitpick found a genuine counterexample.
3.125 +\item[$\bullet$] \textbf{\textit{quasi\_genuine}:} Nitpick found a ``quasi
3.126 genuine'' counterexample (i.e., a counterexample that is genuine unless
3.127 it contradicts a missing axiom or a dangerous option was used inappropriately).
3.128 -\item[$\bullet$] \textbf{\textit{potential}}: Nitpick found a potential counterexample.
3.129 -\item[$\bullet$] \textbf{\textit{none}}: Nitpick found no counterexample.
3.130 -\item[$\bullet$] \textbf{\textit{unknown}}: Nitpick encountered some problem (e.g.,
3.131 +\item[$\bullet$] \textbf{\textit{potential}:} Nitpick found a potential counterexample.
3.132 +\item[$\bullet$] \textbf{\textit{none}:} Nitpick found no counterexample.
3.133 +\item[$\bullet$] \textbf{\textit{unknown}:} Nitpick encountered some problem (e.g.,
3.134 Kodkod ran out of memory).
3.135 \end{enum}
3.136
3.137 @@ -2314,11 +2338,9 @@
3.138
3.139 The supported solvers are listed below:
3.140
3.141 -\let\foo
3.142 -
3.143 \begin{enum}
3.144
3.145 -\item[$\bullet$] \textbf{\textit{MiniSat}}: MiniSat is an efficient solver
3.146 +\item[$\bullet$] \textbf{\textit{MiniSat}:} MiniSat is an efficient solver
3.147 written in \cpp{}. To use MiniSat, set the environment variable
3.148 \texttt{MINISAT\_HOME} to the directory that contains the \texttt{minisat}
3.149 executable.%
3.150 @@ -2329,13 +2351,13 @@
3.151 \url{http://minisat.se/MiniSat.html}. Nitpick has been tested with versions 1.14
3.152 and 2.0 beta (2007-07-21).
3.153
3.154 -\item[$\bullet$] \textbf{\textit{MiniSat\_JNI}}: The JNI (Java Native Interface)
3.155 +\item[$\bullet$] \textbf{\textit{MiniSat\_JNI}:} The JNI (Java Native Interface)
3.156 version of MiniSat is bundled with Kodkodi and is precompiled for the major
3.157 platforms. It is also available from \texttt{native\-solver.\allowbreak tgz},
3.158 which you will find on Kodkod's web site \cite{kodkod-2009}. Unlike the standard
3.159 version of MiniSat, the JNI version can be used incrementally.
3.160
3.161 -\item[$\bullet$] \textbf{\textit{PicoSAT}}: PicoSAT is an efficient solver
3.162 +\item[$\bullet$] \textbf{\textit{PicoSAT}:} PicoSAT is an efficient solver
3.163 written in C. You can install a standard version of
3.164 PicoSAT and set the environment variable \texttt{PICOSAT\_HOME} to the directory
3.165 that contains the \texttt{picosat} executable.%
3.166 @@ -2344,7 +2366,7 @@
3.167 available at \url{http://fmv.jku.at/picosat/} and are also bundled with Kodkodi.
3.168 Nitpick has been tested with version 913.
3.169
3.170 -\item[$\bullet$] \textbf{\textit{zChaff}}: zChaff is an efficient solver written
3.171 +\item[$\bullet$] \textbf{\textit{zChaff}:} zChaff is an efficient solver written
3.172 in \cpp{}. To use zChaff, set the environment variable \texttt{ZCHAFF\_HOME} to
3.173 the directory that contains the \texttt{zchaff} executable.%
3.174 \footref{cygwin-paths}
3.175 @@ -2352,12 +2374,12 @@
3.176 \url{http://www.princeton.edu/~chaff/zchaff.html}. Nitpick has been tested with
3.177 versions 2004-05-13, 2004-11-15, and 2007-03-12.
3.178
3.179 -\item[$\bullet$] \textbf{\textit{zChaff\_JNI}}: The JNI version of zChaff is
3.180 +\item[$\bullet$] \textbf{\textit{zChaff\_JNI}:} The JNI version of zChaff is
3.181 bundled with Kodkodi and is precompiled for the major
3.182 platforms. It is also available from \texttt{native\-solver.\allowbreak tgz},
3.183 which you will find on Kodkod's web site \cite{kodkod-2009}.
3.184
3.185 -\item[$\bullet$] \textbf{\textit{RSat}}: RSat is an efficient solver written in
3.186 +\item[$\bullet$] \textbf{\textit{RSat}:} RSat is an efficient solver written in
3.187 \cpp{}. To use RSat, set the environment variable \texttt{RSAT\_HOME} to the
3.188 directory that contains the \texttt{rsat} executable.%
3.189 \footref{cygwin-paths}
3.190 @@ -2365,21 +2387,21 @@
3.191 \url{http://reasoning.cs.ucla.edu/rsat/}. Nitpick has been tested with version
3.192 2.01.
3.193
3.194 -\item[$\bullet$] \textbf{\textit{BerkMin}}: BerkMin561 is an efficient solver
3.195 +\item[$\bullet$] \textbf{\textit{BerkMin}:} BerkMin561 is an efficient solver
3.196 written in C. To use BerkMin, set the environment variable
3.197 \texttt{BERKMIN\_HOME} to the directory that contains the \texttt{BerkMin561}
3.198 executable.\footref{cygwin-paths}
3.199 The BerkMin executables are available at
3.200 \url{http://eigold.tripod.com/BerkMin.html}.
3.201
3.202 -\item[$\bullet$] \textbf{\textit{BerkMin\_Alloy}}: Variant of BerkMin that is
3.203 +\item[$\bullet$] \textbf{\textit{BerkMin\_Alloy}:} Variant of BerkMin that is
3.204 included with Alloy 4 and calls itself ``sat56'' in its banner text. To use this
3.205 version of BerkMin, set the environment variable
3.206 \texttt{BERKMINALLOY\_HOME} to the directory that contains the \texttt{berkmin}
3.207 executable.%
3.208 \footref{cygwin-paths}
3.209
3.210 -\item[$\bullet$] \textbf{\textit{Jerusat}}: Jerusat 1.3 is an efficient solver
3.211 +\item[$\bullet$] \textbf{\textit{Jerusat}:} Jerusat 1.3 is an efficient solver
3.212 written in C. To use Jerusat, set the environment variable
3.213 \texttt{JERUSAT\_HOME} to the directory that contains the \texttt{Jerusat1.3}
3.214 executable.%
3.215 @@ -2387,24 +2409,16 @@
3.216 The C sources for Jerusat are available at
3.217 \url{http://www.cs.tau.ac.il/~ale1/Jerusat1.3.tgz}.
3.218
3.219 -\item[$\bullet$] \textbf{\textit{SAT4J}}: SAT4J is a reasonably efficient solver
3.220 +\item[$\bullet$] \textbf{\textit{SAT4J}:} SAT4J is a reasonably efficient solver
3.221 written in Java that can be used incrementally. It is bundled with Kodkodi and
3.222 requires no further installation or configuration steps. Do not attempt to
3.223 install the official SAT4J packages, because their API is incompatible with
3.224 Kodkod.
3.225
3.226 -\item[$\bullet$] \textbf{\textit{SAT4J\_Light}}: Variant of SAT4J that is
3.227 +\item[$\bullet$] \textbf{\textit{SAT4J\_Light}:} Variant of SAT4J that is
3.228 optimized for small problems. It can also be used incrementally.
3.229
3.230 -\item[$\bullet$] \textbf{\textit{HaifaSat}}: HaifaSat 1.0 beta is an
3.231 -experimental solver written in \cpp. To use HaifaSat, set the environment
3.232 -variable \texttt{HAIFASAT\_\allowbreak HOME} to the directory that contains the
3.233 -\texttt{HaifaSat} executable.%
3.234 -\footref{cygwin-paths}
3.235 -The \cpp{} sources for HaifaSat are available at
3.236 -\url{http://cs.technion.ac.il/~gershman/HaifaSat.htm}.
3.237 -
3.238 -\item[$\bullet$] \textbf{\textit{smart}}: If \textit{sat\_solver} is set to
3.239 +\item[$\bullet$] \textbf{\textit{smart}:} If \textit{sat\_solver} is set to
3.240 \textit{smart}, Nitpick selects the first solver among MiniSat,
3.241 PicoSAT, zChaff, RSat, BerkMin, BerkMin\_Alloy, Jerusat, MiniSat\_JNI, and zChaff\_JNI
3.242 that is recognized by Isabelle. If none is found, it falls back on SAT4J, which
4.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000
4.2 +++ b/doc-src/Sledgehammer/Makefile Fri May 14 22:43:00 2010 +0200
4.3 @@ -0,0 +1,36 @@
4.4 +#
4.5 +# $Id$
4.6 +#
4.7 +
4.8 +## targets
4.9 +
4.10 +default: dvi
4.11 +
4.12 +
4.13 +## dependencies
4.14 +
4.15 +include ../Makefile.in
4.16 +
4.17 +NAME = sledgehammer
4.18 +FILES = sledgehammer.tex ../iman.sty ../manual.bib
4.19 +
4.20 +dvi: $(NAME).dvi
4.21 +
4.22 +$(NAME).dvi: $(FILES) isabelle_sledgehammer.eps
4.23 + $(LATEX) $(NAME)
4.24 + $(BIBTEX) $(NAME)
4.25 + $(LATEX) $(NAME)
4.26 + $(LATEX) $(NAME)
4.27 + $(SEDINDEX) $(NAME)
4.28 + $(LATEX) $(NAME)
4.29 +
4.30 +pdf: $(NAME).pdf
4.31 +
4.32 +$(NAME).pdf: $(FILES) isabelle_sledgehammer.pdf
4.33 + $(PDFLATEX) $(NAME)
4.34 + $(BIBTEX) $(NAME)
4.35 + $(PDFLATEX) $(NAME)
4.36 + $(PDFLATEX) $(NAME)
4.37 + $(SEDINDEX) $(NAME)
4.38 + $(FIXBOOKMARKS) $(NAME).out
4.39 + $(PDFLATEX) $(NAME)
5.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000
5.2 +++ b/doc-src/Sledgehammer/sledgehammer.tex Fri May 14 22:43:00 2010 +0200
5.3 @@ -0,0 +1,483 @@
5.4 +\documentclass[a4paper,12pt]{article}
5.5 +\usepackage[T1]{fontenc}
5.6 +\usepackage{amsmath}
5.7 +\usepackage{amssymb}
5.8 +\usepackage[english,french]{babel}
5.9 +\usepackage{color}
5.10 +\usepackage{footmisc}
5.11 +\usepackage{graphicx}
5.12 +%\usepackage{mathpazo}
5.13 +\usepackage{multicol}
5.14 +\usepackage{stmaryrd}
5.15 +%\usepackage[scaled=.85]{beramono}
5.16 +\usepackage{../iman,../pdfsetup}
5.17 +
5.18 +%\oddsidemargin=4.6mm
5.19 +%\evensidemargin=4.6mm
5.20 +%\textwidth=150mm
5.21 +%\topmargin=4.6mm
5.22 +%\headheight=0mm
5.23 +%\headsep=0mm
5.24 +%\textheight=234mm
5.25 +
5.26 +\def\Colon{\mathord{:\mkern-1.5mu:}}
5.27 +%\def\lbrakk{\mathopen{\lbrack\mkern-3.25mu\lbrack}}
5.28 +%\def\rbrakk{\mathclose{\rbrack\mkern-3.255mu\rbrack}}
5.29 +\def\lparr{\mathopen{(\mkern-4mu\mid}}
5.30 +\def\rparr{\mathclose{\mid\mkern-4mu)}}
5.31 +
5.32 +\def\unk{{?}}
5.33 +\def\undef{(\lambda x.\; \unk)}
5.34 +%\def\unr{\textit{others}}
5.35 +\def\unr{\ldots}
5.36 +\def\Abs#1{\hbox{\rm{\flqq}}{\,#1\,}\hbox{\rm{\frqq}}}
5.37 +\def\Q{{\smash{\lower.2ex\hbox{$\scriptstyle?$}}}}
5.38 +
5.39 +\urlstyle{tt}
5.40 +
5.41 +\begin{document}
5.42 +
5.43 +\selectlanguage{english}
5.44 +
5.45 +\title{\includegraphics[scale=0.5]{isabelle_sledgehammer} \\[4ex]
5.46 +Hammering Away \\[\smallskipamount]
5.47 +\Large A User's Guide to Sledgehammer for Isabelle/HOL}
5.48 +\author{\hbox{} \\
5.49 +Jasmin Christian Blanchette \\
5.50 +{\normalsize Institut f\"ur Informatik, Technische Universit\"at M\"unchen} \\
5.51 +\hbox{}}
5.52 +
5.53 +\maketitle
5.54 +
5.55 +\tableofcontents
5.56 +
5.57 +\setlength{\parskip}{.7em plus .2em minus .1em}
5.58 +\setlength{\parindent}{0pt}
5.59 +\setlength{\abovedisplayskip}{\parskip}
5.60 +\setlength{\abovedisplayshortskip}{.9\parskip}
5.61 +\setlength{\belowdisplayskip}{\parskip}
5.62 +\setlength{\belowdisplayshortskip}{.9\parskip}
5.63 +
5.64 +% General-purpose enum environment with correct spacing
5.65 +\newenvironment{enum}%
5.66 + {\begin{list}{}{%
5.67 + \setlength{\topsep}{.1\parskip}%
5.68 + \setlength{\partopsep}{.1\parskip}%
5.69 + \setlength{\itemsep}{\parskip}%
5.70 + \advance\itemsep by-\parsep}}
5.71 + {\end{list}}
5.72 +
5.73 +\def\pre{\begingroup\vskip0pt plus1ex\advance\leftskip by\leftmargin
5.74 +\advance\rightskip by\leftmargin}
5.75 +\def\post{\vskip0pt plus1ex\endgroup}
5.76 +
5.77 +\def\prew{\pre\advance\rightskip by-\leftmargin}
5.78 +\def\postw{\post}
5.79 +
5.80 +\section{Introduction}
5.81 +\label{introduction}
5.82 +
5.83 +Sledgehammer is a tool that applies first-order automatic theorem provers (ATPs)
5.84 +on the current goal. The supported ATPs are E \cite{schulz-2002}, SPASS
5.85 +\cite{weidenbach-et-al-2009}, and Vampire \cite{riazanov-voronkov-2002}, which
5.86 +can be run locally or remotely via the SystemOnTPTP web service
5.87 +\cite{sutcliffe-2000}.
5.88 +
5.89 +The problem passed to ATPs consists of the current goal together with a
5.90 +heuristic selection of facts (theorems) from the current theory context,
5.91 +filtered by relevance. The result of a successful ATP proof search is some
5.92 +source text that usually (but not always) reconstructs the proof within
5.93 +Isabelle, without requiring the ATPs again. The reconstructed proof relies on
5.94 +the general-purpose Metis prover \cite{metis}, which is fully integrated into
5.95 +Isabelle/HOL, with explicit inferences going through the kernel. Thus its
5.96 +results are correct by construction.
5.97 +
5.98 +\newbox\boxA
5.99 +\setbox\boxA=\hbox{\texttt{nospam}}
5.100 +
5.101 +Examples of Sledgehammer use can be found in Isabelle's
5.102 +\texttt{src/HOL/Metis\_Examples} directory.
5.103 +Comments and bug reports concerning Sledgehammer or this manual should be
5.104 +directed to
5.105 +\texttt{blan{\color{white}nospam}\kern-\wd\boxA{}chette@\allowbreak
5.106 +in.\allowbreak tum.\allowbreak de}.
5.107 +
5.108 +\vskip2.5\smallskipamount
5.109 +
5.110 +%\textbf{Acknowledgment.} The author would like to thank Mark Summerfield for
5.111 +%suggesting several textual improvements.
5.112 +
5.113 +\section{Installation}
5.114 +\label{installation}
5.115 +
5.116 +Sledgehammer is part of Isabelle, so you don't need to install it. However, it
5.117 +relies on third-party automatic theorem provers (ATPs). Currently, E, SPASS, and
5.118 +Vampire are supported. All of these are available remotely via SystemOnTPTP
5.119 +\cite{sutcliffe-2000}, but if you want better performance you will need to
5.120 +install at least E and SPASS locally.
5.121 +
5.122 +There are three main ways to install E and SPASS:
5.123 +
5.124 +\begin{enum}
5.125 +\item[$\bullet$] If you installed an official Isabelle package with everything
5.126 +inside, it should already include properly setup executables for E and SPASS,
5.127 +ready to use.
5.128 +
5.129 +\item[$\bullet$] Otherwise, you can download the Isabelle-aware E and SPASS
5.130 +binary packages from Isabelle's download page. Extract the archives, then add a
5.131 +line to your \texttt{\char`\~/.isabelle/etc/components} file with the absolute path to
5.132 +E or SPASS. For example, if \texttt{\char`\~/.isabelle/etc/components} does not exist
5.133 +yet and you extracted SPASS to \texttt{/usr/local/spass-3.7}, create
5.134 +the file \texttt{\char`\~/.isabelle/etc/components} with the single line
5.135 +
5.136 +\prew
5.137 +\texttt{/usr/local/spass-3.7}
5.138 +\postw
5.139 +
5.140 +\item[$\bullet$] If you prefer to build E or SPASS yourself, feel free to do so
5.141 +and set the environment variable \texttt{E\_HOME} or \texttt{SPASS\_HOME} to the
5.142 +directory that contains the \texttt{eproof} or \texttt{SPASS} executable,
5.143 +respectively.
5.144 +\end{enum}
5.145 +
5.146 +To check whether E and SPASS are installed, follow the example in
5.147 +\S\ref{first-steps}.
5.148 +
5.149 +\section{First Steps}
5.150 +\label{first-steps}
5.151 +
5.152 +To illustrate Sledgehammer in context, let us start a theory file and
5.153 +attempt to prove a simple lemma:
5.154 +
5.155 +\prew
5.156 +\textbf{theory}~\textit{Scratch} \\
5.157 +\textbf{imports}~\textit{Main} \\
5.158 +\textbf{begin} \\[2\smallskipamount]
5.159 +%
5.160 +\textbf{lemma} ``$[a] = [b] \,\longleftrightarrow\, a = b$'' \\
5.161 +\textbf{sledgehammer}
5.162 +\postw
5.163 +
5.164 +After a few seconds, Sledgehammer produces the following output:
5.165 +
5.166 +\prew
5.167 +\slshape
5.168 +Sledgehammer: ATP ``\textit{e}'' for subgoal 1: \\
5.169 +$([a] = [b]) = (a = b)$ \\
5.170 +Try this command: \textbf{by} (\textit{metis hd.simps}). \\
5.171 +To minimize the number of lemmas, try this command: \\
5.172 +\textbf{sledgehammer} \textit{minimize} [\textit{atp} = \textit{e}] (\textit{hd.simps}). \\[3\smallskipamount]
5.173 +%
5.174 +Sledgehammer: ATP ``\textit{spass}'' for subgoal 1: \\
5.175 +$([a] = [b]) = (a = b)$ \\
5.176 +Try this command: \textbf{by} (\textit{metis insert\_Nil last\_ConsL}). \\
5.177 +To minimize the number of lemmas, try this command: \\
5.178 +\textbf{sledgehammer} \textit{minimize} [\textit{atp} = \textit{spass}] (\textit{insert\_Nil last\_ConsL}). \\[3\smallskipamount]
5.179 +%
5.180 +Sledgehammer: ATP ``\textit{remote\_vampire}'' for subgoal 1: \\
5.181 +$([a] = [b]) = (a = b)$ \\
5.182 +Try this command: \textbf{by} (\textit{metis One\_nat\_def\_raw empty\_replicate} \\
5.183 +\phantom{Try this command: \textbf{by} (\textit{metis~}}\textit{insert\_Nil last\_ConsL replicate\_Suc}). \\
5.184 +To minimize the number of lemmas, try this command: \\
5.185 +\textbf{sledgehammer} \textit{minimize} [\textit{atp} = \textit{remote\_vampire}] \\
5.186 +\phantom{\textbf{sledgehammer}~}(\textit{One\_nat\_def\_raw empty\_replicate insert\_Nil} \\
5.187 +\phantom{\textbf{sledgehammer}~(}\textit{last\_ConsL replicate\_Suc}).
5.188 +\postw
5.189 +
5.190 +Sledgehammer ran E, SPASS, and the remote version of Vampire in parallel. If E
5.191 +and SPASS are not installed (\S\ref{installation}), you will see references to
5.192 +their remote American cousins \textit{remote\_e} and \textit{remote\_spass}
5.193 +instead of \textit{e} and \textit{spass}.
5.194 +
5.195 +Based on each ATP proof, Sledgehammer gives a one-liner proof that uses the
5.196 +\textit{metis} method. You can click them and insert them into the theory text.
5.197 +You can click the ``\textbf{sledgehammer} \textit{minimize}'' command if you
5.198 +want to look for a shorter (and faster) proof. But here the proof found by E
5.199 +looks perfect, so click it to finish the proof.
5.200 +
5.201 +You can ask Sledgehammer for an Isar text proof by passing the
5.202 +\textit{isar\_proof} option:
5.203 +
5.204 +\prew
5.205 +\textbf{sledgehammer} [\textit{isar\_proof}]
5.206 +\postw
5.207 +
5.208 +When Isar proof construction is successful, it can yield proofs that are more
5.209 +readable and also faster than the \textit{metis} one-liners. This feature is
5.210 +experimental.
5.211 +
5.212 +\section{Command Syntax}
5.213 +\label{command-syntax}
5.214 +
5.215 +Sledgehammer can be invoked at any point when there is an open goal by entering
5.216 +the \textbf{sledgehammer} command in the theory file. Its general syntax is as
5.217 +follows:
5.218 +
5.219 +\prew
5.220 +\textbf{sledgehammer} \textit{subcommand\/$^?$ options\/$^?$ facts\_override\/$^?$ num\/$^?$}
5.221 +\postw
5.222 +
5.223 +For convenience, Sledgehammer is also available in the ``Commands'' submenu of
5.224 +the ``Isabelle'' menu in Proof General or by pressing the Emacs key sequence C-c
5.225 +C-a C-s. This is equivalent to entering the \textbf{sledgehammer} command with
5.226 +no arguments in the theory text.
5.227 +
5.228 +In the general syntax, the \textit{subcommand} may be any of the following:
5.229 +
5.230 +\begin{enum}
5.231 +\item[$\bullet$] \textbf{\textit{run} (the default):} Runs Sledgehammer on subgoal number
5.232 +\textit{num} (1 by default), with the given options and facts.
5.233 +
5.234 +\item[$\bullet$] \textbf{\textit{minimize}:} Attempts to minimize the provided facts
5.235 +(specified in the \textit{facts\_override} argument) to obtain a simpler proof
5.236 +involving fewer facts. The options and goal number are as for \textit{run}.
5.237 +
5.238 +\item[$\bullet$] \textbf{\textit{messages}:} Redisplays recent messages issued by
5.239 +Sledgehammer. This allows you to examine results that might have been lost due
5.240 +to Sledgehammer's asynchronous nature. The \textit{num} argument specifies a
5.241 +limit on the number of messages to display (5 by default).
5.242 +
5.243 +\item[$\bullet$] \textbf{\textit{available\_atps}:} Prints the list of installed ATPs.
5.244 +See \S\ref{installation} and \S\ref{mode-of-operation} for more information on
5.245 +how to install ATPs.
5.246 +
5.247 +\item[$\bullet$] \textbf{\textit{running\_atps}:} Prints information about currently
5.248 +running ATPs, including elapsed runtime and remaining time until timeout.
5.249 +
5.250 +\item[$\bullet$] \textbf{\textit{kill\_atps}:} Terminates all running ATPs.
5.251 +
5.252 +\item[$\bullet$] \textbf{\textit{refresh\_tptp}:} Refreshes the list of remote
5.253 +ATPs available at System\-On\-TPTP \cite{sutcliffe-2000}.
5.254 +\end{enum}
5.255 +
5.256 +Sledgehammer's behavior can be influenced by various \textit{options}, which can
5.257 +be specified in brackets after the \textbf{sledgehammer} command. The
5.258 +\textit{options} are a list of key--value pairs of the form ``[$k_1 = v_1,
5.259 +\ldots, k_n = v_n$]''. For Boolean options, ``= \textit{true}'' is optional. For
5.260 +example:
5.261 +
5.262 +\prew
5.263 +\textbf{sledgehammer} [\textit{isar\_proof}, \,\textit{timeout} = 120$\,s$]
5.264 +\postw
5.265 +
5.266 +Default values can be set using \textbf{sledgehammer\_\allowbreak params}:
5.267 +
5.268 +\prew
5.269 +\textbf{sledgehammer\_params} \textit{options}
5.270 +\postw
5.271 +
5.272 +The supported options are described in \S\ref{option-reference}.
5.273 +
5.274 +The \textit{facts\_override} argument lets you alter the set of facts that go
5.275 +through the relevance filter. It may be of the form ``(\textit{facts})'', where
5.276 +\textit{facts} is a space-separated list of Isabelle facts (theorems, local
5.277 +assumptions, etc.), in which case the relevance filter is bypassed and the given
5.278 +facts are used. It may also be of the form (\textit{add}:\ \textit{facts}$_1$),
5.279 +(\textit{del}:\ \textit{facts}$_2$), or (\textit{add}:\ \textit{facts}$_1$\
5.280 +\textit{del}:\ \textit{facts}$_2$), where the relevance filter is instructed to
5.281 +proceed as usual except that it should consider \textit{facts}$_1$
5.282 +highly-relevant and \textit{facts}$_2$ fully irrelevant.
5.283 +
5.284 +\section{Option Reference}
5.285 +\label{option-reference}
5.286 +
5.287 +\def\flushitem#1{\item[]\noindent\kern-\leftmargin \textbf{#1}}
5.288 +\def\qty#1{$\left<\textit{#1}\right>$}
5.289 +\def\qtybf#1{$\mathbf{\left<\textbf{\textit{#1}}\right>}$}
5.290 +\def\optrue#1#2{\flushitem{\textit{#1} $\bigl[$= \qtybf{bool}$\bigr]$\quad [\textit{true}]\hfill (neg.: \textit{#2})}\nopagebreak\\[\parskip]}
5.291 +\def\opfalse#1#2{\flushitem{\textit{#1} $\bigl[$= \qtybf{bool}$\bigr]$\quad [\textit{false}]\hfill (neg.: \textit{#2})}\nopagebreak\\[\parskip]}
5.292 +\def\opsmart#1#2{\flushitem{\textit{#1} $\bigl[$= \qtybf{bool\_or\_smart}$\bigr]$\quad [\textit{smart}]\hfill (neg.: \textit{#2})}\nopagebreak\\[\parskip]}
5.293 +\def\opsmartx#1#2{\flushitem{\textit{#1} $\bigl[$= \qtybf{bool\_or\_smart}$\bigr]$\quad [\textit{smart}]\hfill\\\hbox{}\hfill (neg.: \textit{#2})}\nopagebreak\\[\parskip]}
5.294 +\def\opnodefault#1#2{\flushitem{\textit{#1} = \qtybf{#2}} \nopagebreak\\[\parskip]}
5.295 +\def\opdefault#1#2#3{\flushitem{\textit{#1} = \qtybf{#2}\quad [\textit{#3}]} \nopagebreak\\[\parskip]}
5.296 +\def\oparg#1#2#3{\flushitem{\textit{#1} \qtybf{#2} = \qtybf{#3}} \nopagebreak\\[\parskip]}
5.297 +\def\opargbool#1#2#3{\flushitem{\textit{#1} \qtybf{#2} $\bigl[$= \qtybf{bool}$\bigr]$\hfill (neg.: \textit{#3})}\nopagebreak\\[\parskip]}
5.298 +\def\opargboolorsmart#1#2#3{\flushitem{\textit{#1} \qtybf{#2} $\bigl[$= \qtybf{bool\_or\_smart}$\bigr]$\hfill (neg.: \textit{#3})}\nopagebreak\\[\parskip]}
5.299 +
5.300 +Sledgehammer's options are categorized as follows:\ mode of operation
5.301 +(\S\ref{mode-of-operation}), problem encoding (\S\ref{problem-encoding}), output
5.302 +format (\S\ref{output-format}), and timeouts (\S\ref{timeouts}).
5.303 +
5.304 +The descriptions below refer to the following syntactic quantities:
5.305 +
5.306 +\begin{enum}
5.307 +\item[$\bullet$] \qtybf{string}: A string.
5.308 +\item[$\bullet$] \qtybf{bool\/}: \textit{true} or \textit{false}.
5.309 +\item[$\bullet$] \qtybf{bool\_or\_smart\/}: \textit{true}, \textit{false}, or \textit{smart}.
5.310 +\item[$\bullet$] \qtybf{int\/}: An integer.
5.311 +\item[$\bullet$] \qtybf{time}: An integer followed by $\textit{min}$ (minutes), $s$ (seconds), or \textit{ms}
5.312 +(milliseconds), or the keyword \textit{none} ($\infty$ years).
5.313 +\end{enum}
5.314 +
5.315 +Default values are indicated in square brackets. Boolean options have a negated
5.316 +counterpart (e.g., \textit{debug} vs.\ \textit{no\_debug}). When setting
5.317 +Boolean options, ``= \textit{true}'' may be omitted.
5.318 +
5.319 +\subsection{Mode of Operation}
5.320 +\label{mode-of-operation}
5.321 +
5.322 +\begin{enum}
5.323 +%\optrue{blocking}{non\_blocking}
5.324 +%Specifies whether the \textbf{sledgehammer} command should operate synchronously.
5.325 +%The asynchronous (non-blocking) mode lets the user start proving the putative
5.326 +%theorem while Sledgehammer looks for a counterexample, but it can also be more
5.327 +%confusing. For technical reasons, automatic runs currently always block.
5.328 +
5.329 +\opnodefault{atps}{string}
5.330 +Specifies the ATPs (automated theorem provers) to use as a space-separated list
5.331 +(e.g., ``\textit{e}~\textit{spass}''). The following ATPs are supported:
5.332 +
5.333 +\begin{enum}
5.334 +\item[$\bullet$] \textbf{\textit{e}:} E is an ATP developed by Stephan Schulz
5.335 +\cite{schulz-2002}. To use E, set the environment variable
5.336 +\texttt{E\_HOME} to the directory that contains the \texttt{eproof} executable,
5.337 +or install the prebuilt E package from Isabelle's download page. See
5.338 +\S\ref{installation} for details.
5.339 +
5.340 +\item[$\bullet$] \textbf{\textit{spass}:} SPASS is an ATP developed by Christoph
5.341 +Weidenbach et al.\ \cite{weidenbach-et-al-2009}. To use SPASS, set the
5.342 +environment variable \texttt{SPASS\_HOME} to the directory that contains the
5.343 +\texttt{SPASS} executable, or install the prebuilt SPASS package from Isabelle's
5.344 +download page. See \S\ref{installation} for details.
5.345 +
5.346 +\item[$\bullet$] \textbf{\textit{spass\_tptp}:} Same as the above, except that
5.347 +Sledgehammer communicates with SPASS using the TPTP syntax rather than the
5.348 +native DFG syntax. This ATP is provided for experimental purposes.
5.349 +
5.350 +\item[$\bullet$] \textbf{\textit{vampire}:} Vampire is an ATP developed by
5.351 +Andrei Voronkov and his colleagues \cite{riazanov-voronkov-2002}. To use
5.352 +Vampire, set the environment variable \texttt{VAMPIRE\_HOME} to the directory
5.353 +that contains the \texttt{vampire} executable.
5.354 +
5.355 +\item[$\bullet$] \textbf{\textit{remote\_e}:} The remote version of E executes
5.356 +on Geoff Sutcliffe's Miami servers \cite{sutcliffe-2000}.
5.357 +
5.358 +\item[$\bullet$] \textbf{\textit{remote\_spass}:} The remote version of SPASS
5.359 +executes on Geoff Sutcliffe's Miami servers.
5.360 +
5.361 +\item[$\bullet$] \textbf{\textit{remote\_vampire}:} The remote version of
5.362 +Vampire executes on Geoff Sutcliffe's Miami servers. Version 9 is used.
5.363 +
5.364 +\end{enum}
5.365 +
5.366 +By default, Sledgehammer will run E, SPASS, and Vampire in parallel. For E and
5.367 +SPASS, it will use any locally installed version if available, falling back
5.368 +on the remote versions if necessary. For historical reasons, the default value
5.369 +of this option can be overridden using the option ``Sledgehammer: ATPs'' from
5.370 +the ``Isabelle'' menu in Proof General.
5.371 +
5.372 +It is a good idea to run several ATPs in parallel, although it could slow down
5.373 +your machine. Tobias Nipkow observed that running E, SPASS, and Vampire together
5.374 +for 5 seconds yields the same success rate as running the most effective of
5.375 +these (Vampire) for 120 seconds \cite{boehme-nipkow-2010}.
5.376 +
5.377 +\opnodefault{atp}{string}
5.378 +Alias for \textit{atps}.
5.379 +
5.380 +\opfalse{overlord}{no\_overlord}
5.381 +Specifies whether Sledgehammer should put its temporary files in
5.382 +\texttt{\$ISA\-BELLE\_\allowbreak HOME\_\allowbreak USER}, which is useful for
5.383 +debugging Sledgehammer but also unsafe if several instances of the tool are run
5.384 +simultaneously. The files are identified by the prefix \texttt{prob\_}; you may
5.385 +safely remove them after Sledgehammer has run.
5.386 +
5.387 +\nopagebreak
5.388 +{\small See also \textit{debug} (\S\ref{output-format}).}
5.389 +\end{enum}
5.390 +
5.391 +\subsection{Problem Encoding}
5.392 +\label{problem-encoding}
5.393 +
5.394 +\begin{enum}
5.395 +\opfalse{explicit\_apply}{implicit\_apply}
5.396 +Specifies whether function application should be encoded as an explicit
5.397 +``apply'' operator. If the option is set to \textit{false}, each function will
5.398 +be directly applied to as many arguments as possible. Enabling this option can
5.399 +sometimes help discover higher-order proofs that otherwise would not be found.
5.400 +
5.401 +\opfalse{full\_types}{partial\_types}
5.402 +Specifies whether full-type information is exported. Enabling this option can
5.403 +prevent the discovery of type-incorrect proofs, but it also tends to slow down
5.404 +the ATPs significantly. For historical reasons, the default value of this option
5.405 +can be overridden using the option ``Sledgehammer: ATPs'' from the ``Isabelle''
5.406 +menu in Proof General.
5.407 +
5.408 +\opdefault{relevance\_threshold}{int}{50}
5.409 +Specifies the threshold above which facts are considered relevant by the
5.410 +relevance filter. The option ranges from 0 to 100, where 0 means that all
5.411 +theorems are relevant.
5.412 +
5.413 +\opdefault{relevance\_convergence}{int}{320}
5.414 +Specifies the convergence quotient, multiplied by 100, used by the relevance
5.415 +filter. This quotient is used by the relevance filter to scale down the
5.416 +relevance of facts at each iteration of the filter.
5.417 +
5.418 +\opsmartx{theory\_relevant}{theory\_irrelevant}
5.419 +Specifies whether the theory from which a fact comes should be taken into
5.420 +consideration by the relevance filter. If the option is set to \textit{smart},
5.421 +it is taken to be \textit{true} for SPASS and \textit{false} for E and Vampire,
5.422 +because empirical results suggest that these are the best settings.
5.423 +
5.424 +\opfalse{defs\_relevant}{defs\_irrelevant}
5.425 +Specifies whether the definition of constants occurring in the formula to prove
5.426 +should be considered particularly relevant. Enabling this option tends to lead
5.427 +to larger problems and typically slows down the ATPs.
5.428 +
5.429 +\optrue{respect\_no\_atp}{ignore\_no\_atp}
5.430 +Specifies whether Sledgehammer should honor the \textit{no\_atp} attributes. The
5.431 +\textit{no\_atp} attributes marks theorems that tend to confuse ATPs, typically
5.432 +because they can lead to unsound ATP proofs \cite{boehme-nipkow-2010}. It is
5.433 +normally a good idea to leave this option enabled, unless you are debugging
5.434 +Sledgehammer.
5.435 +
5.436 +\end{enum}
5.437 +
5.438 +\subsection{Output Format}
5.439 +\label{output-format}
5.440 +
5.441 +\begin{enum}
5.442 +
5.443 +\opfalse{verbose}{quiet}
5.444 +Specifies whether the \textbf{sledgehammer} command should explain what it does.
5.445 +
5.446 +\opfalse{debug}{no\_debug}
5.447 +Specifies whether Nitpick should display additional debugging information beyond
5.448 +what \textit{verbose} already displays. Enabling \textit{debug} also enables
5.449 +\textit{verbose} behind the scenes.
5.450 +
5.451 +\nopagebreak
5.452 +{\small See also \textit{overlord} (\S\ref{mode-of-operation}).}
5.453 +
5.454 +\opfalse{isar\_proof}{no\_isar\_proof}
5.455 +Specifies whether Isar proofs should be output in addition to one-liner
5.456 +\textit{metis} proofs. Isar proof construction is still experimental and often
5.457 +fails; however, they are usually faster and sometimes more robust than
5.458 +\textit{metis} proofs.
5.459 +
5.460 +\opdefault{isar\_shrink\_factor}{int}{1}
5.461 +Specifies the granularity of the Isar proof. A value of $n$ indicates that each
5.462 +Isar proof step should correspond to a group of up to $n$ consecutive proof
5.463 +steps in the ATP proof.
5.464 +
5.465 +\end{enum}
5.466 +
5.467 +\subsection{Timeouts}
5.468 +\label{timeouts}
5.469 +
5.470 +\begin{enum}
5.471 +\opdefault{timeout}{time}{$\mathbf{60}$ s}
5.472 +Specifies the maximum amount of time that the ATPs should spend looking for a
5.473 +proof. For historical reasons, the default value of this option can be
5.474 +overridden using the option ``Sledgehammer: Time Limit'' from the ``Isabelle''
5.475 +menu in Proof General.
5.476 +
5.477 +\opdefault{minimize\_timeout}{time}{$\mathbf{5}$\,s}
5.478 +Specifies the maximum amount of time that the ATPs should spend looking for a
5.479 +proof for \textbf{sledgehammer}~\textit{minimize}.
5.480 +\end{enum}
5.481 +
5.482 +\let\em=\sl
5.483 +\bibliography{../manual}{}
5.484 +\bibliographystyle{abbrv}
5.485 +
5.486 +\end{document}
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6.2252 +1975 2082.8 1975.6 2080.9 1974.8 2080.6 C
6.2253 +1974.3 2075.2 1974.6 2069.6 1974.5 2064 C
6.2254 +1977.5 2059.7 1984.5 2060 1988.9 2056.4 C
6.2255 +1989.5 2055.5 1990.5 2055.3 1990.8 2054.4 C
6.2256 +1991.1 2045.7 1991.4 2036.1 1990.6 2027.8 C
6.2257 +1990.7 2026.6 1992 2027.3 1992.8 2027.1 C
6.2258 +1997 2032.4 2002.6 2037.8 2007.6 2042.2 C
6.2259 +2008.7 2042.3 2007.8 2040.6 2007.4 2040 C
6.2260 +2002.3 2035.6 1997.5 2030 1992.8 2025.2 C
6.2261 +1991.6 2024.7 1990.8 2024.9 1990.1 2025.4 C
6.2262 +1989.4 2024.9 1988.1 2025.2 1987.2 2024.4 C
6.2263 +1987.1 2025.8 1988.3 2026.5 1989.4 2026.8 C
6.2264 +1989.4 2026.6 1989.3 2026.2 1989.6 2026.1 C
6.2265 +1989.9 2026.2 1989.9 2026.6 1989.9 2026.8 C
6.2266 +1989.8 2026.6 1990 2026.5 1990.1 2026.4 C
6.2267 +1990.2 2027 1991.1 2028.3 1990.1 2028 C
6.2268 +1989.9 2037.9 1990.5 2044.1 1989.6 2054.2 C
6.2269 +1985.9 2058 1979.7 2057.4 1976 2061.2 C
6.2270 +1974.5 2061.6 1975.2 2059.9 1974.5 2059.5 C
6.2271 +1973.9 2058 1975.6 2057.8 1975 2056.6 C
6.2272 +1974.5 2057.1 1974.6 2055.3 1973.6 2055.9 C
6.2273 +1971.9 2059.3 1974.7 2062.1 1973.1 2065.5 C
6.2274 +1973.1 2071.2 1972.9 2077 1973.3 2082.5 C
6.2275 +1967.7 2085.6 1962 2088 1956.3 2090.7 C
6.2276 +1953.9 2092.4 1951 2093 1948.6 2094.8 C
6.2277 +1943.7 2089.9 1937.9 2084.3 1933 2079.6 C
6.2278 +1931.3 2076.1 1933.2 2071.3 1932.3 2067.2 C
6.2279 +1931.3 2062.9 1933.3 2060.6 1932 2057.6 C
6.2280 +1932.7 2056.5 1930.9 2053.3 1933.2 2051.8 C
6.2281 +1936.8 2050.1 1940.1 2046.9 1944 2046.8 C
6.2282 +1946.3 2049.7 1949.3 2051.9 1952 2054.4 C
6.2283 +1954.5 2054.2 1956.4 2052.3 1958.7 2051.3 C
6.2284 +1960.8 2050 1963.2 2049 1965.6 2048.4 C
6.2285 +1968.3 2050.8 1970.7 2054.3 1973.6 2055.4 C
6.2286 +1973 2052.2 1969.7 2050.4 1967.6 2048.2 C
6.2287 +1967.1 2046.7 1968.8 2046.6 1969.5 2045.8 C
6.2288 +1972.8 2043.3 1980.6 2043.4 1979.3 2038.4 C
6.2289 +1979.4 2038.6 1979.2 2038.7 1979.1 2038.8 C
6.2290 +1978.7 2038.6 1978.9 2038.1 1978.8 2037.6 C
6.2291 +1978.9 2037.9 1978.7 2038 1978.6 2038.1 C
6.2292 +1978.2 2032.7 1978.4 2027.1 1978.4 2021.6 C
6.2293 +1979.3 2021.1 1980 2020.2 1981.5 2020.1 C
6.2294 +1983.5 2020.5 1984 2021.8 1985.1 2023.5 C
6.2295 +1985.7 2024 1987.4 2023.7 1986 2022.8 C
6.2296 +1984.7 2021.7 1983.3 2020.8 1983.9 2018.7 C
6.2297 +1987.2 2015.9 1993 2015.4 1994.9 2011.5 C
6.2298 +1992.2 2004.9 1999.3 2005.2 2002.1 2002.4 C
6.2299 +2005.9 2002.7 2004.8 1997.4 2009.1 1999 C
6.2300 +2011 1999.3 2010 2002.9 2012.7 2002.4 C
6.2301 +2010.2 2000.7 2009.4 1996.1 2005.5 1998.5 C
6.2302 +2002.1 2000.3 1999 2002.5 1995.4 2003.8 C
6.2303 +1995.2 2003.6 1994.9 2003.3 1994.7 2003.1 C
6.2304 +1994.3 1997 1995.6 1991.1 1994.4 1985.3 C
6.2305 +1994.3 1986 1993.8 1985 1994 1985.6 C
6.2306 +1993.8 1995.4 1994.4 2001.6 1993.5 2011.7 C
6.2307 +1989.7 2015.5 1983.6 2014.9 1979.8 2018.7 C
6.2308 +1978.3 2019.1 1979.1 2017.4 1978.4 2017 C
6.2309 +1977.8 2015.5 1979.4 2015.3 1978.8 2014.1 C
6.2310 +1978.4 2014.6 1978.5 2012.8 1977.4 2013.4 C
6.2311 +1975.8 2016.8 1978.5 2019.6 1976.9 2023 C
6.2312 +1977 2028.7 1976.7 2034.5 1977.2 2040 C
6.2313 +1971.6 2043.1 1965.8 2045.6 1960.1 2048.2 C
6.2314 +1957.7 2049.9 1954.8 2050.5 1952.4 2052.3 C
6.2315 +1947.6 2047.4 1941.8 2041.8 1936.8 2037.2 C
6.2316 +1935.2 2033.6 1937.1 2028.8 1936.1 2024.7 C
6.2317 +1935.1 2020.4 1937.1 2018.1 1935.9 2015.1 C
6.2318 +1936.5 2014.1 1934.7 2010.8 1937.1 2009.3 C
6.2319 +1944.4 2004.8 1952 2000.9 1959.9 1997.8 C
6.2320 +1963.9 1997 1963.9 2001.9 1966.8 2003.3 C
6.2321 +1970.3 2006.9 1973.7 2009.9 1976.9 2012.9 C
6.2322 +1977.9 2013 1977.1 2011.4 1976.7 2010.8 C
6.2323 +1971.6 2006.3 1966.8 2000.7 1962 1995.9 C
6.2324 +1960 1995.2 1960.1 1996.6 1958.2 1995.6 C
6.2325 +1957 1997 1955.1 1998.8 1953.2 1998 C
6.2326 +1951.7 1994.5 1954.1 1993.4 1952.9 1991.1 C
6.2327 +1952.1 1990.5 1953.3 1990.2 1953.2 1989.6 C
6.2328 +1954.2 1986.8 1950.9 1981.4 1954.4 1981.2 C
6.2329 +1954.7 1981.6 1954.7 1981.7 1955.1 1982 C
6.2330 +1961.9 1979.1 1967.6 1975 1974.3 1971.6 C
6.2331 +1974.7 1969.8 1976.7 1969.5 1978.4 1969.7 C
6.2332 +1980.3 1970 1979.3 1973.6 1982 1973.1 C
6.2333 +1975.8 1962.2 1968 1975.8 1960.8 1976.7 C
6.2334 +1956.9 1977.4 1953.3 1982.4 1949.1 1978.8 C
6.2335 +1946 1975.8 1941.2 1971 1939.5 1969.2 C
6.2336 +1938.5 1968.6 1938.9 1967.4 1937.8 1966.8 C
6.2337 +1928.7 1969.4 1920.6 1974.5 1912.4 1979.1 C
6.2338 +1904 1980 1896.6 1985 1889.3 1989.4 C
6.2339 +1887.9 1990.4 1885.1 1990.3 1885 1992.5 C
6.2340 +1885.4 2000.6 1885.2 2012.9 1885.2 2019.9 C
6.2341 +1886.1 2022 1889.7 2019.5 1888.4 2022.8 C
6.2342 +1889 2023.3 1889.8 2024.4 1890.3 2024 C
6.2343 +1891.2 2023.5 1891.8 2028.2 1893.4 2026.6 C
6.2344 +1894.2 2026.3 1893.9 2027.3 1894.4 2027.6 C
6.2345 +1893.4 2027.6 1894.7 2028.3 1894.1 2028.5 C
6.2346 +1894.4 2029.6 1896 2030 1896 2029.2 C
6.2347 +1896.2 2029 1896.3 2029 1896.5 2029.2 C
6.2348 +1896.8 2029.8 1897.3 2030 1897 2030.7 C
6.2349 +1896.5 2030.7 1896.9 2031.5 1897.2 2031.6 C
6.2350 +1898.3 2034 1899.5 2030.6 1899.6 2033.3 C
6.2351 +1898.5 2033 1899.6 2034.4 1900.1 2034.8 C
6.2352 +1901.3 2035.8 1903.2 2034.6 1902.5 2036.7 C
6.2353 +1904.4 2036.9 1906.1 2032.2 1907.6 2035.5 C
6.2354 +1907.5 2040.1 1907.7 2044.9 1907.3 2049.4 C
6.2355 +1908 2050.2 1908.3 2051.4 1909.5 2051.6 C
6.2356 +1910.1 2051.1 1911.6 2051.1 1911.4 2052.3 C
6.2357 +1909.7 2052.8 1912.4 2054 1912.6 2054.7 C
6.2358 +1913.4 2055.2 1913 2053.7 1913.6 2054.4 C
6.2359 +1913.6 2054.5 1913.6 2055.3 1913.6 2054.7 C
6.2360 +1913.7 2054.4 1913.9 2054.4 1914 2054.7 C
6.2361 +1914 2054.9 1914.1 2055.3 1913.8 2055.4 C
6.2362 +1913.7 2056 1915.2 2057.6 1916 2057.6 C
6.2363 +1915.9 2057.3 1916.1 2057.2 1916.2 2057.1 C
6.2364 +1917 2056.8 1916.7 2057.7 1917.2 2058 C
6.2365 +1917 2058.3 1916.7 2058.3 1916.4 2058.3 C
6.2366 +1917.1 2059 1917.3 2060.1 1918.4 2060.4 C
6.2367 +1918.1 2059.2 1919.1 2060.6 1919.1 2059.5 C
6.2368 +1919 2060.6 1920.6 2060.1 1919.8 2061.2 C
6.2369 +1919.6 2061.2 1919.3 2061.2 1919.1 2061.2 C
6.2370 +1919.6 2061.9 1921.4 2064.2 1921.5 2062.6 C
6.2371 +1922.4 2062.1 1921.6 2063.9 1922.2 2064.3 C
6.2372 +1922.9 2067.3 1926.1 2064.3 1925.6 2067.2 C
6.2373 +1927.2 2066.8 1928.4 2064.6 1930.1 2065.2 C
6.2374 +1931.8 2067.8 1931 2071.8 1930.8 2074.8 C
6.2375 +1930.6 2076.4 1930.1 2078.6 1930.6 2080.4 C
6.2376 +1936.6 2085.4 1941.8 2091.6 1948.1 2096.9 C
6.2377 +1950.7 2096.7 1952.6 2094.8 1954.8 2093.8 C
6.2378 +[0 0.33 0.33 0.99] vc
6.2379 +f
6.2380 +S
6.2381 +n
6.2382 +1989.4 2080.6 m
6.2383 +1996.1 2077.3 2002.7 2073.8 2009.6 2070.8 C
6.2384 +2009.6 2069.6 2010.2 2067.7 2009.3 2067.4 C
6.2385 +2008.9 2062 2009.1 2056.4 2009.1 2050.8 C
6.2386 +2012.3 2046.6 2019 2046.6 2023.5 2043.2 C
6.2387 +2024 2042.3 2025.1 2042.1 2025.4 2041.2 C
6.2388 +2025.3 2032.7 2025.6 2023.1 2025.2 2014.6 C
6.2389 +2025 2015.3 2024.6 2014.2 2024.7 2014.8 C
6.2390 +2024.5 2024.7 2025.1 2030.9 2024.2 2041 C
6.2391 +2020.4 2044.8 2014.3 2044.2 2010.5 2048 C
6.2392 +2009 2048.4 2009.8 2046.7 2009.1 2046.3 C
6.2393 +2008.5 2044.8 2010.2 2044.6 2009.6 2043.4 C
6.2394 +2009.1 2043.9 2009.2 2042.1 2008.1 2042.7 C
6.2395 +2006.5 2046.1 2009.3 2048.9 2007.6 2052.3 C
6.2396 +2007.7 2058 2007.5 2063.8 2007.9 2069.3 C
6.2397 +2002.3 2072.4 1996.5 2074.8 1990.8 2077.5 C
6.2398 +1988.4 2079.2 1985.6 2079.8 1983.2 2081.6 C
6.2399 +1980.5 2079 1977.9 2076.5 1975.5 2074.1 C
6.2400 +1975.5 2075.1 1975.5 2076.2 1975.5 2077.2 C
6.2401 +1977.8 2079.3 1980.3 2081.6 1982.7 2083.7 C
6.2402 +1985.3 2083.5 1987.1 2081.6 1989.4 2080.6 C
6.2403 +f
6.2404 +S
6.2405 +n
6.2406 +1930.1 2079.9 m
6.2407 +1931.1 2075.6 1929.2 2071.1 1930.8 2067.2 C
6.2408 +1930.3 2066.3 1930.1 2064.6 1928.7 2065.5 C
6.2409 +1927.7 2066.4 1926.5 2067 1925.3 2067.4 C
6.2410 +1924.5 2066.9 1925.6 2065.7 1924.4 2066 C
6.2411 +1924.2 2067.2 1923.6 2065.5 1923.2 2065.7 C
6.2412 +1922.3 2063.6 1917.8 2062.1 1919.6 2060.4 C
6.2413 +1919.3 2060.5 1919.2 2060.3 1919.1 2060.2 C
6.2414 +1919.7 2060.9 1918.2 2061 1917.6 2060.2 C
6.2415 +1917 2059.6 1916.1 2058.8 1916.4 2058 C
6.2416 +1915.5 2058 1917.4 2057.1 1915.7 2057.8 C
6.2417 +1914.8 2057.1 1913.4 2056.2 1913.3 2054.9 C
6.2418 +1913.1 2055.4 1911.3 2054.3 1910.9 2053.2 C
6.2419 +1910.7 2052.9 1910.2 2052.5 1910.7 2052.3 C
6.2420 +1911.1 2052.5 1910.9 2052 1910.9 2051.8 C
6.2421 +1910.5 2051.2 1909.9 2052.6 1909.2 2051.8 C
6.2422 +1908.2 2051.4 1907.8 2050.2 1907.1 2049.4 C
6.2423 +1907.5 2044.8 1907.3 2040 1907.3 2035.2 C
6.2424 +1905.3 2033 1902.8 2039.3 1902.3 2035.7 C
6.2425 +1899.6 2036 1898.4 2032.5 1896.3 2030.7 C
6.2426 +1895.7 2030.1 1897.5 2030 1896.3 2029.7 C
6.2427 +1896.3 2030.6 1895 2029.7 1894.4 2029.2 C
6.2428 +1892.9 2028.1 1894.2 2027.4 1893.6 2027.1 C
6.2429 +1892.1 2027.9 1891.7 2025.6 1890.8 2024.9 C
6.2430 +1891.1 2024.6 1889.1 2024.3 1888.4 2023 C
6.2431 +1887.5 2022.6 1888.2 2021.9 1888.1 2021.3 C
6.2432 +1886.7 2022 1885.2 2020.4 1884.8 2019.2 C
6.2433 +1884.8 2010 1884.6 2000.2 1885 1991.8 C
6.2434 +1886.9 1989.6 1889.9 1989.3 1892.2 1987.5 C
6.2435 +1898.3 1982.7 1905.6 1980.1 1912.8 1978.6 C
6.2436 +1921 1974.2 1928.8 1968.9 1937.8 1966.6 C
6.2437 +1939.8 1968.3 1938.8 1968.3 1940.4 1970 C
6.2438 +1945.4 1972.5 1947.6 1981.5 1954.6 1979.3 C
6.2439 +1952.3 1981 1950.4 1978.4 1948.6 1977.9 C
6.2440 +1945.1 1973.9 1941.1 1970.6 1938 1966.6 C
6.2441 +1928.4 1968.5 1920.6 1974.8 1911.9 1978.8 C
6.2442 +1907.1 1979.2 1902.6 1981.7 1898.2 1983.6 C
6.2443 +1893.9 1986 1889.9 1989 1885.5 1990.8 C
6.2444 +1884.9 1991.2 1884.8 1991.8 1884.5 1992.3 C
6.2445 +1884.9 2001.3 1884.7 2011.1 1884.8 2019.6 C
6.2446 +1890.6 2025 1896.5 2031.2 1902.3 2036.9 C
6.2447 +1904.6 2037.6 1905 2033 1907.3 2035.5 C
6.2448 +1907.2 2040.2 1907 2044.8 1907.1 2049.6 C
6.2449 +1913.6 2055.3 1918.4 2061.5 1925.1 2067.4 C
6.2450 +1927.3 2068.2 1929.6 2062.5 1930.6 2066.9 C
6.2451 +1929.7 2070.7 1930.3 2076 1930.1 2080.1 C
6.2452 +1935.6 2085.7 1941.9 2090.7 1947.2 2096.7 C
6.2453 +1942.2 2091.1 1935.5 2085.2 1930.1 2079.9 C
6.2454 +[0.18 0.18 0 0.78] vc
6.2455 +f
6.2456 +S
6.2457 +n
6.2458 +1930.8 2061.9 m
6.2459 +1930.3 2057.8 1931.8 2053.4 1931.1 2050.4 C
6.2460 +1931.3 2050.3 1931.7 2050.5 1931.6 2050.1 C
6.2461 +1933 2051.1 1934.4 2049.5 1935.9 2048.7 C
6.2462 +1937 2046.5 1939.5 2047.1 1941.2 2045.1 C
6.2463 +1939.7 2042.6 1937.3 2041.2 1935.4 2039.3 C
6.2464 +1934 2039.7 1934.5 2038.1 1933.7 2037.6 C
6.2465 +1934 2033.3 1933.1 2027.9 1934.4 2024.4 C
6.2466 +1934.3 2023.8 1933.9 2022.8 1933 2022.8 C
6.2467 +1931.6 2023.1 1930.5 2024.4 1929.2 2024.9 C
6.2468 +1928.4 2024.5 1929.8 2023.5 1928.7 2023.5 C
6.2469 +1927.7 2024.1 1926.2 2022.6 1925.6 2021.6 C
6.2470 +1926.9 2021.6 1924.8 2020.6 1925.6 2020.4 C
6.2471 +1924.7 2021.7 1923.9 2019.6 1923.2 2019.2 C
6.2472 +1923.3 2018.3 1923.8 2018.1 1923.2 2018 C
6.2473 +1922.9 2017.8 1922.9 2017.5 1922.9 2017.2 C
6.2474 +1922.8 2018.3 1921.3 2017.3 1920.3 2018 C
6.2475 +1916.6 2019.7 1913 2022.1 1910 2024.7 C
6.2476 +1910 2032.9 1910 2041.2 1910 2049.4 C
6.2477 +1915.4 2055.2 1920 2058.7 1925.3 2064.8 C
6.2478 +1927.2 2064 1929 2061.4 1930.8 2061.9 C
6.2479 +[0 0 0 0] vc
6.2480 +f
6.2481 +S
6.2482 +n
6.2483 +1907.6 2030.4 m
6.2484 +1907.5 2027.1 1906.4 2021.7 1908.5 2019.9 C
6.2485 +1908.8 2020.1 1908.9 2019 1909.2 2019.6 C
6.2486 +1910 2019.6 1912 2019.2 1913.1 2018.2 C
6.2487 +1913.7 2016.5 1920.2 2015.7 1917.4 2012.7 C
6.2488 +1918.2 2011.2 1917 2013.8 1917.2 2012 C
6.2489 +1916.9 2012.3 1916 2012.4 1915.2 2012 C
6.2490 +1912.5 2010.5 1916.6 2008.8 1913.6 2009.6 C
6.2491 +1912.6 2009.2 1911.1 2009 1910.9 2007.6 C
6.2492 +1911 1999.2 1911.8 1989.8 1911.2 1982.2 C
6.2493 +1910.1 1981.1 1908.8 1982.2 1907.6 1982.2 C
6.2494 +1900.8 1986.5 1893.2 1988.8 1887.2 1994.2 C
6.2495 +1887.2 2002.4 1887.2 2010.7 1887.2 2018.9 C
6.2496 +1892.6 2024.7 1897.2 2028.2 1902.5 2034.3 C
6.2497 +1904.3 2033.3 1906.2 2032.1 1907.6 2030.4 C
6.2498 +f
6.2499 +S
6.2500 +n
6.2501 +1910.7 2025.4 m
6.2502 +1912.7 2022.4 1916.7 2020.8 1919.8 2018.9 C
6.2503 +1920.2 2018.7 1920.6 2018.6 1921 2018.4 C
6.2504 +1925 2020 1927.4 2028.5 1932 2024.2 C
6.2505 +1932.3 2025 1932.5 2023.7 1932.8 2024.4 C
6.2506 +1932.8 2028 1932.8 2031.5 1932.8 2035 C
6.2507 +1931.9 2033.9 1932.5 2036.3 1932.3 2036.9 C
6.2508 +1933.2 2036.4 1932.5 2038.5 1933 2038.4 C
6.2509 +1933.1 2040.5 1935.6 2042.2 1936.6 2043.2 C
6.2510 +1936.2 2042.4 1935.1 2040.8 1933.7 2040.3 C
6.2511 +1932.2 2034.4 1933.8 2029.8 1933 2023.2 C
6.2512 +1931.1 2024.9 1928.4 2026.4 1926.5 2023.5 C
6.2513 +1925.1 2021.6 1923 2019.8 1921.5 2018.2 C
6.2514 +1917.8 2018.9 1915.2 2022.5 1911.6 2023.5 C
6.2515 +1910.8 2023.8 1911.2 2024.7 1910.4 2025.2 C
6.2516 +1910.9 2031.8 1910.6 2039.1 1910.7 2045.6 C
6.2517 +1910.1 2048 1910.7 2045.9 1911.2 2044.8 C
6.2518 +1910.6 2038.5 1911.2 2031.8 1910.7 2025.4 C
6.2519 +[0.07 0.06 0 0.58] vc
6.2520 +f
6.2521 +S
6.2522 +n
6.2523 +1910.7 2048.9 m
6.2524 +1910.3 2047.4 1911.3 2046.5 1911.6 2045.3 C
6.2525 +1912.9 2045.3 1913.9 2047.1 1915.2 2045.8 C
6.2526 +1915.2 2044.9 1916.6 2043.3 1917.2 2042.9 C
6.2527 +1918.7 2042.9 1919.4 2044.4 1920.5 2043.2 C
6.2528 +1921.2 2042.2 1921.4 2040.9 1922.4 2040.3 C
6.2529 +1924.5 2040.3 1925.7 2040.9 1926.8 2039.6 C
6.2530 +1927.1 2037.9 1926.8 2038.1 1927.7 2037.6 C
6.2531 +1929 2037.5 1930.4 2037 1931.6 2037.2 C
6.2532 +1932.3 2038.2 1933.1 2038.7 1932.8 2040.3 C
6.2533 +1935 2041.8 1935.9 2043.8 1938.5 2044.8 C
6.2534 +1938.6 2045 1938.3 2045.5 1938.8 2045.3 C
6.2535 +1939.1 2042.9 1935.4 2044.2 1935.4 2042.2 C
6.2536 +1932.1 2040.8 1932.8 2037.2 1932 2034.8 C
6.2537 +1932.3 2034 1932.7 2035.4 1932.5 2034.8 C
6.2538 +1931.3 2031.8 1935.5 2020.1 1928.9 2025.9 C
6.2539 +1924.6 2024.7 1922.6 2014.5 1917.4 2020.4 C
6.2540 +1915.5 2022.8 1912 2022.6 1910.9 2025.4 C
6.2541 +1911.5 2031.9 1910.9 2038.8 1911.4 2045.3 C
6.2542 +1911.1 2046.5 1910 2047.4 1910.4 2048.9 C
6.2543 +1915.1 2054.4 1920.4 2058.3 1925.1 2063.8 C
6.2544 +1920.8 2058.6 1914.9 2054.3 1910.7 2048.9 C
6.2545 +[0.4 0.4 0 0] vc
6.2546 +f
6.2547 +S
6.2548 +n
6.2549 +1934.7 2031.9 m
6.2550 +1934.6 2030.7 1934.9 2029.5 1934.4 2028.5 C
6.2551 +1934 2029.5 1934.3 2031.2 1934.2 2032.6 C
6.2552 +1933.8 2031.7 1934.9 2031.6 1934.7 2031.9 C
6.2553 +[0.92 0.92 0 0.67] vc
6.2554 +f
6.2555 +S
6.2556 +n
6.2557 +vmrs
6.2558 +1934.7 2019.4 m
6.2559 +1934.1 2015.3 1935.6 2010.9 1934.9 2007.9 C
6.2560 +1935.1 2007.8 1935.6 2008.1 1935.4 2007.6 C
6.2561 +1936.8 2008.6 1938.2 2007 1939.7 2006.2 C
6.2562 +1940.1 2004.3 1942.7 2005 1943.6 2003.8 C
6.2563 +1945.1 2000.3 1954 2000.8 1950 1996.6 C
6.2564 +1952.1 1993.3 1948.2 1989.2 1951.2 1985.6 C
6.2565 +1953 1981.4 1948.4 1982.3 1947.9 1979.8 C
6.2566 +1945.4 1979.6 1945.1 1975.5 1942.4 1975 C
6.2567 +1942.4 1972.3 1938 1973.6 1938.5 1970.4 C
6.2568 +1937.4 1969 1935.6 1970.1 1934.2 1970.2 C
6.2569 +1927.5 1974.5 1919.8 1976.8 1913.8 1982.2 C
6.2570 +1913.8 1990.4 1913.8 1998.7 1913.8 2006.9 C
6.2571 +1919.3 2012.7 1923.8 2016.2 1929.2 2022.3 C
6.2572 +1931.1 2021.6 1932.8 2018.9 1934.7 2019.4 C
6.2573 +[0 0 0 0] vc
6.2574 +f
6.2575 +0.4 w
6.2576 +2 J
6.2577 +2 M
6.2578 +S
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6.2583 +2020.5 2010.3 2018.4 2010.6 2018.9 2008.6 C
6.2584 +2019 2008.8 2018.8 2009 2018.7 2009.1 C
6.2585 +2018.2 2006.7 2015.2 2007.9 2015.3 2005.5 C
6.2586 +2014.7 2004.8 2012.4 2005.1 2013.2 2003.6 C
6.2587 +2012.3 2004.2 2012.8 2002.4 2012.7 2002.6 C
6.2588 +2009.4 2003.3 2011.2 1998.6 2008.4 1999.2 C
6.2589 +2007 1999.1 2006.1 1999.4 2005.7 2000.4 C
6.2590 +2006.9 1998.5 2007.7 2000.5 2009.3 2000.2 C
6.2591 +2009.2 2003.7 2012.4 2002.1 2012.9 2005.2 C
6.2592 +2015.9 2005.6 2015.2 2008.6 2017.7 2008.8 C
6.2593 +2018.4 2009.6 2018.3 2011.4 2019.6 2011 C
6.2594 +2021.1 2011.7 2021.4 2014.8 2023.7 2015.1 C
6.2595 +2023.7 2023.5 2023.9 2031.6 2023.5 2040.5 C
6.2596 +2021.8 2041.7 2020.7 2043.6 2018.4 2043.9 C
6.2597 +2020.8 2042.7 2025.5 2041.8 2024.2 2038.1 C
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6.2606 +2011.8 2006.3 2012.2 2002.3 2009.8 2002.4 C
6.2607 +2009.7 2001.5 2009.2 2000.1 2008.4 2000.2 C
6.2608 +2008.7 2000.9 2009.7 2001.2 2009.3 2002.4 C
6.2609 +2008.4 2004.2 2007.5 2003.1 2007.9 2005.5 C
6.2610 +2007.9 2010.8 2007.7 2018.7 2008.1 2023.2 C
6.2611 +2009 2024.3 2007.3 2023.4 2007.9 2024 C
6.2612 +2007.7 2024.6 2007.3 2026.3 2008.6 2027.1 C
6.2613 +2009.7 2026.8 2010 2027.6 2010.5 2028 C
6.2614 +2010.5 2028.2 2010.5 2029.1 2010.5 2028.5 C
6.2615 +2011.5 2028 2010.5 2030 2011.5 2030 C
6.2616 +2014.2 2029.7 2012.9 2032.2 2014.8 2032.6 C
6.2617 +2015.1 2033.6 2015.3 2033 2016 2033.3 C
6.2618 +2017 2033.9 2016.6 2035.4 2017.2 2036.2 C
6.2619 +2018.7 2036.4 2019.2 2039 2021.3 2038.4 C
6.2620 +2021.6 2035.4 2019.7 2029.5 2021.1 2027.3 C
6.2621 +2020.9 2023.5 2021.5 2018.5 2020.6 2016 C
6.2622 +2020.9 2013.9 2021.5 2015.4 2022.3 2014.4 C
6.2623 +2022.2 2015.1 2023.3 2014.8 2023.2 2015.6 C
6.2624 +2022.7 2019.8 2023.3 2024.3 2022.8 2028.5 C
6.2625 +2022.3 2028.2 2022.6 2027.6 2022.5 2027.1 C
6.2626 +2022.5 2027.8 2022.5 2029.2 2022.5 2029.2 C
6.2627 +2022.6 2029.2 2022.7 2029.1 2022.8 2029 C
6.2628 +2023.9 2032.8 2022.6 2037 2023 2040.8 C
6.2629 +2022.3 2041.2 2021.6 2041.5 2021.1 2042.2 C
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6.2639 +2000.3 2002.2 2003.8 1997.9 2009.1 1997.8 C
6.2640 +2012.3 2001.2 2015.6 2004.8 2018.7 2008.1 C
6.2641 +2021.6 2011.2 2027.5 2013.9 2025.9 2019.9 C
6.2642 +2026.1 2017.9 2025.6 2016.2 2025.4 2014.4 C
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6.2650 +2007.9 1997.6 2008.9 1997.4 2009.6 1997.8 C
6.2651 +2014.7 2003.6 2020.8 2008.8 2025.9 2014.8 C
6.2652 +2025.8 2017.7 2026.1 2014.8 2025.6 2014.1 C
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6.2677 +2015.8 2035.5 2015.3 2033.8 2014.8 2033.6 C
6.2678 +2012.4 2033.8 2013 2030.4 2010.5 2030.2 C
6.2679 +2009.6 2028.9 2009.6 2028.3 2008.4 2028 C
6.2680 +2006.9 2026.7 2007.5 2024.3 2006 2023.2 C
6.2681 +2006.6 2023.2 2005.7 2023.3 2005.7 2023 C
6.2682 +2006.4 2022.5 2006.3 2021.1 2006.7 2020.6 C
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6.2684 +2006.9 2002.5 2007.6 2001.1 2006.9 2000.7 C
6.2685 +2004.6 2003.6 2003 2002.9 2000.2 2004.3 C
6.2686 +1999.3 2005.8 1997.9 2006.3 1996.1 2006.7 C
6.2687 +1995.7 2008.9 1996 2011.1 1995.9 2012.9 C
6.2688 +1993.4 2015.1 1990.5 2016.2 1987.7 2017.7 C
6.2689 +1987.1 2019.3 1991.1 2019.4 1990.4 2021.3 C
6.2690 +1990.5 2021.5 1991.9 2022.3 1992 2023 C
6.2691 +1994.8 2024.4 1996.2 2027.5 1998.5 2030 C
6.2692 +2002.4 2033 2005.2 2037.2 2008.8 2041 C
6.2693 +2010.2 2041.3 2011.6 2042 2011 2043.9 C
6.2694 +2011.2 2044.8 2010.1 2045.3 2010.5 2046.3 C
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6.2719 +1988.3 1979.6 1988.1 1979.7 1988 1979.8 C
6.2720 +1987.5 1977.5 1984.5 1978.6 1984.6 1976.2 C
6.2721 +1983.9 1975.5 1981.7 1975.8 1982.4 1974.3 C
6.2722 +1981.6 1974.9 1982.1 1973.1 1982 1973.3 C
6.2723 +1979 1973.7 1980 1968.8 1976.9 1969.7 C
6.2724 +1975.9 1969.8 1975.3 1970.3 1975 1971.2 C
6.2725 +1976.2 1969.2 1977 1971.2 1978.6 1970.9 C
6.2726 +1978.5 1974.4 1981.7 1972.8 1982.2 1976 C
6.2727 +1985.2 1976.3 1984.5 1979.3 1987 1979.6 C
6.2728 +1987.7 1980.3 1987.5 1982.1 1988.9 1981.7 C
6.2729 +1990.4 1982.4 1990.7 1985.5 1993 1985.8 C
6.2730 +1992.9 1994.3 1993.2 2002.3 1992.8 2011.2 C
6.2731 +1991.1 2012.4 1990 2014.4 1987.7 2014.6 C
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6.2742 +1989.5 1985.7 1991.1 1981.1 1987.7 1981.7 C
6.2743 +1987.9 1978.2 1983.9 1980 1984.1 1977.2 C
6.2744 +1981.1 1977 1981.5 1973 1979.1 1973.1 C
6.2745 +1979 1972.2 1978.5 1970.9 1977.6 1970.9 C
6.2746 +1977.9 1971.6 1979 1971.9 1978.6 1973.1 C
6.2747 +1977.6 1974.9 1976.8 1973.9 1977.2 1976.2 C
6.2748 +1977.2 1981.5 1977 1989.4 1977.4 1994 C
6.2749 +1978.3 1995 1976.6 1994.1 1977.2 1994.7 C
6.2750 +1977 1995.3 1976.6 1997 1977.9 1997.8 C
6.2751 +1979 1997.5 1979.3 1998.3 1979.8 1998.8 C
6.2752 +1979.8 1998.9 1979.8 1999.8 1979.8 1999.2 C
6.2753 +1980.8 1998.7 1979.7 2000.7 1980.8 2000.7 C
6.2754 +1983.5 2000.4 1982.1 2003 1984.1 2003.3 C
6.2755 +1984.4 2004.3 1984.5 2003.7 1985.3 2004 C
6.2756 +1986.3 2004.6 1985.9 2006.1 1986.5 2006.9 C
6.2757 +1988 2007.1 1988.4 2009.7 1990.6 2009.1 C
6.2758 +1990.9 2006.1 1989 2000.2 1990.4 1998 C
6.2759 +1990.2 1994.3 1990.8 1989.2 1989.9 1986.8 C
6.2760 +1990.2 1984.7 1990.8 1986.2 1991.6 1985.1 C
6.2761 +1991.5 1985.9 1992.6 1985.5 1992.5 1986.3 C
6.2762 +1992 1990.5 1992.6 1995 1992 1999.2 C
6.2763 +1991.6 1998.9 1991.9 1998.3 1991.8 1997.8 C
6.2764 +1991.8 1998.5 1991.8 2000 1991.8 2000 C
6.2765 +1991.9 1999.9 1992 1999.8 1992 1999.7 C
6.2766 +1993.2 2003.5 1991.9 2007.7 1992.3 2011.5 C
6.2767 +1991.6 2012 1990.9 2012.2 1990.4 2012.9 C
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6.2776 +1962 1975.9 1968.8 1972.5 1975.5 1968.8 C
6.2777 +1976.5 1968.8 1977.6 1968.8 1978.6 1968.8 C
6.2778 +1981.7 1972.1 1984.8 1975.7 1988 1978.8 C
6.2779 +1990.9 1981.9 1996.8 1984.6 1995.2 1990.6 C
6.2780 +1995.3 1988.6 1994.9 1986.9 1994.7 1985.1 C
6.2781 +1989.5 1979.1 1983.3 1974.3 1978.4 1968.5 C
6.2782 +[0.18 0.18 0 0.78] vc
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6.2787 +1977.9 1968.7 1977.1 1968.5 1976.4 1968.5 C
6.2788 +1977.3 1968.8 1978.1 1967.9 1978.8 1968.5 C
6.2789 +1984 1974.3 1990.1 1979.5 1995.2 1985.6 C
6.2790 +1995.1 1988.4 1995.3 1985.6 1994.9 1984.8 C
6.2791 +1989.5 1979.4 1983.9 1973.8 1978.4 1968.3 C
6.2792 +[0.07 0.06 0 0.58] vc
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6.2796 +1978.6 1968 m
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6.2807 +[0 0.33 0.33 0.99] vc
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6.2811 +1990.4 2012.7 m
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6.2813 +1987.7 2010.2 1987.4 2007.6 1985.6 2007.2 C
6.2814 +1985.1 2006.2 1984.6 2004.5 1984.1 2004.3 C
6.2815 +1981.7 2004.5 1982.3 2001.2 1979.8 2000.9 C
6.2816 +1978.8 1999.6 1978.8 1999.1 1977.6 1998.8 C
6.2817 +1976.1 1997.4 1976.7 1995 1975.2 1994 C
6.2818 +1975.8 1994 1975 1994 1975 1993.7 C
6.2819 +1975.7 1993.2 1975.6 1991.8 1976 1991.3 C
6.2820 +1975.9 1985.7 1976.1 1979.7 1975.7 1974.5 C
6.2821 +1976.2 1973.3 1976.9 1971.8 1976.2 1971.4 C
6.2822 +1973.9 1974.3 1972.2 1973.6 1969.5 1975 C
6.2823 +1967.9 1977.5 1963.8 1977.1 1961.8 1980 C
6.2824 +1959 1980 1957.6 1983 1954.8 1982.9 C
6.2825 +1953.8 1984.2 1954.8 1985.7 1955.1 1987.2 C
6.2826 +1956.2 1989.5 1959.7 1990.1 1959.9 1991.8 C
6.2827 +1965.9 1998 1971.8 2005.2 1978.1 2011.7 C
6.2828 +1979.5 2012 1980.9 2012.7 1980.3 2014.6 C
6.2829 +1980.5 2015.6 1979.4 2016 1979.8 2017 C
6.2830 +1983 2015.6 1986.8 2014.1 1990.4 2012.7 C
6.2831 +[0 0.5 0.5 0.2] vc
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6.2835 +1988.7 1979.6 m
6.2836 +1988.2 1979.9 1988.6 1980.6 1988.9 1981 C
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6.2838 +[0 0.33 0.33 0.99] vc
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6.2844 +1982.7 1974.5 1982.8 1975.8 1984.8 1976 C
6.2845 +1985.7 1976.9 1985 1978.4 1987.2 1978.1 C
6.2846 +f
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6.2849 +1975.5 2084 m
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6.2851 +1978.8 2079 1980.9 2085.5 1984.8 2083.5 C
6.2852 +1993 2078.7 2001.6 2075 2010 2070.8 C
6.2853 +2010.1 2064 2009.9 2057.2 2010.3 2050.6 C
6.2854 +2014.8 2046.2 2020.9 2045.7 2025.6 2042 C
6.2855 +2026.1 2035.1 2025.8 2028 2025.9 2021.1 C
6.2856 +2025.8 2027.8 2026.1 2034.6 2025.6 2041.2 C
6.2857 +2022.2 2044.9 2017.6 2046.8 2012.9 2048 C
6.2858 +2012.5 2049.5 2010.4 2049.4 2009.8 2051.1 C
6.2859 +2009.9 2057.6 2009.6 2064.2 2010 2070.5 C
6.2860 +2001.2 2075.4 1992 2079.1 1983.2 2084 C
6.2861 +1980.3 2082.3 1977.8 2079.2 1975.2 2077.5 C
6.2862 +1974.9 2079.9 1977.2 2084.6 1973.3 2085.2 C
6.2863 +1964.7 2088.6 1956.8 2093.7 1948.1 2097.2 C
6.2864 +1949 2097.3 1949.6 2096.9 1950.3 2096.7 C
6.2865 +1958.4 2091.9 1967.1 2088.2 1975.5 2084 C
6.2866 +[0.18 0.18 0 0.78] vc
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6.2871 +1948.6 2094.5 m
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6.2873 +1951.8 2092.9 1950.2 2093.7 1948.6 2094.5 C
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6.2883 +1970.7 2081.6 1970.6 2081.6 1970.4 2081.3 C
6.2884 +1970.8 2080.1 1968.7 2081.7 1968.3 2080.8 C
6.2885 +1966.6 2080.9 1966.7 2078 1964.2 2078.2 C
6.2886 +1964.8 2075 1960.1 2075.8 1960.1 2072.9 C
6.2887 +1958 2072.3 1957.5 2069.3 1955.3 2069.3 C
6.2888 +1953.9 2070.9 1948.8 2067.8 1950 2072 C
6.2889 +1949 2074 1943.2 2070.6 1944 2074.8 C
6.2890 +1942.2 2076.6 1937.6 2073.9 1938 2078.2 C
6.2891 +1936.7 2078.6 1935 2078.6 1933.7 2078.2 C
6.2892 +1933.5 2080 1936.8 2080.7 1937.3 2082.8 C
6.2893 +1939.9 2083.5 1940.6 2086.4 1942.6 2088 C
6.2894 +1945.2 2089.2 1946 2091.3 1948.4 2093.6 C
6.2895 +1956 2089.5 1963.9 2086.1 1971.6 2082.3 C
6.2896 +[0 0.01 1 0] vc
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6.2902 +1955.6 2091.9 1956.5 2089.7 1958.2 2089.7 C
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6.2907 +1929.9 2080.4 m
6.2908 +1929.5 2077.3 1929.7 2073.9 1929.6 2070.8 C
6.2909 +1929.8 2074.1 1929.2 2077.8 1930.1 2080.8 C
6.2910 +1935.8 2085.9 1941.4 2091.3 1946.9 2096.9 C
6.2911 +1941.2 2091 1935.7 2086 1929.9 2080.4 C
6.2912 +[0.4 0.4 0 0] vc
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6.2918 +1941.5 2090.9 1935.7 2085.8 1930.1 2080.4 C
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6.2924 +1941.7 2088 1944.8 2090.6 1943.6 2089.2 C
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6.2932 +1972.5 2058.9 1972.8 2057.3 1973.1 2056.4 C
6.2933 +1974.8 2055.2 1973.4 2055.5 1972.4 2055.4 C
6.2934 +1970.1 2053.2 1967.9 2050.9 1965.6 2048.7 C
6.2935 +1960.9 2049.9 1956.9 2052.7 1952.4 2054.7 C
6.2936 +1949.3 2052.5 1946.3 2049.5 1943.6 2046.8 C
6.2937 +1939.9 2047.7 1936.8 2050.1 1933.5 2051.8 C
6.2938 +1930.9 2054.9 1933.5 2056.2 1932.3 2059.7 C
6.2939 +1933.2 2059.7 1932.2 2060.5 1932.5 2060.2 C
6.2940 +1933.2 2062.5 1931.6 2064.6 1932.5 2067.4 C
6.2941 +1932.9 2069.7 1932.7 2072.2 1932.8 2074.6 C
6.2942 +1933.6 2070.6 1932.2 2066.3 1933 2062.6 C
6.2943 +1934.4 2058.2 1929.8 2053.5 1935.2 2051.1 C
6.2944 +1937.7 2049.7 1940.2 2048 1942.8 2046.8 C
6.2945 +1945.9 2049.2 1948.8 2052 1951.7 2054.7 C
6.2946 +1952.7 2054.7 1953.6 2054.6 1954.4 2054.2 C
6.2947 +1958.1 2052.5 1961.7 2049.3 1965.9 2049.2 C
6.2948 +1968.2 2052.8 1975.2 2055 1972.6 2060.9 C
6.2949 +1973.3 2062.4 1972.2 2065.2 1972.6 2067.6 C
6.2950 +1972.7 2072.6 1972.4 2077.7 1972.8 2082.5 C
6.2951 +1968.1 2084.9 1963.5 2087.5 1958.7 2089.5 C
6.2952 +1963.5 2087.4 1968.2 2085 1972.8 2082.8 C
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6.2956 +1935.2 2081.1 m
6.2957 +1936.8 2083.4 1938.6 2084.6 1940.4 2086.6 C
6.2958 +1938.8 2084.4 1936.7 2083.4 1935.2 2081.1 C
6.2959 +f
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6.2962 +1983.2 2081.3 m
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6.2964 +1986.3 2079.7 1984.8 2080.5 1983.2 2081.3 C
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6.2968 +2006.2 2069.1 m
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6.2970 +2005.3 2068.4 2005.2 2068.4 2005 2068.1 C
6.2971 +2005.4 2066.9 2003.3 2068.5 2002.8 2067.6 C
6.2972 +2001.2 2067.7 2001.2 2064.8 1998.8 2065 C
6.2973 +1999.4 2061.8 1994.7 2062.6 1994.7 2059.7 C
6.2974 +1992.4 2059.5 1992.4 2055.8 1990.1 2056.8 C
6.2975 +1985.9 2059.5 1981.1 2061 1976.9 2063.8 C
6.2976 +1977.2 2067.6 1974.9 2074.2 1978.8 2075.8 C
6.2977 +1979.6 2077.8 1981.7 2078.4 1982.9 2080.4 C
6.2978 +1990.6 2076.3 1998.5 2072.9 2006.2 2069.1 C
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6.2997 +1976 2074.8 1979.3 2077.4 1978.1 2076 C
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6.3002 +2007.4 2069.6 m
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6.3004 +2007.1 2045.7 2007.3 2044.1 2007.6 2043.2 C
6.3005 +2009.4 2042 2007.9 2042.3 2006.9 2042.2 C
6.3006 +2002.2 2037.4 1996.7 2032.4 1992.5 2027.3 C
6.3007 +1992 2027.3 1991.6 2027.3 1991.1 2027.3 C
6.3008 +1991.4 2035.6 1991.4 2045.6 1991.1 2054.4 C
6.3009 +1990.5 2055.5 1988.4 2056.6 1990.6 2055.4 C
6.3010 +1991.6 2055.4 1991.6 2054.1 1991.6 2053.2 C
6.3011 +1990.8 2044.7 1991.9 2035.4 1991.6 2027.6 C
6.3012 +1991.8 2027.6 1992 2027.6 1992.3 2027.6 C
6.3013 +1997 2032.8 2002.5 2037.7 2007.2 2042.9 C
6.3014 +2007.3 2044.8 2006.7 2047.4 2007.6 2048.4 C
6.3015 +2006.9 2055.1 2007.1 2062.5 2007.4 2069.3 C
6.3016 +2002.7 2071.7 1998.1 2074.3 1993.2 2076.3 C
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6.3025 +2005.1 2045.3 2004.2 2045.8 2004.8 2046 C
6.3026 +2004.8 2052.2 2004.8 2059.2 2004.8 2064.5 C
6.3027 +2005.7 2065.7 2005.1 2065.7 2005 2066.7 C
6.3028 +2003.8 2067 2002.7 2067.2 2001.9 2066.4 C
6.3029 +2001.3 2064.6 1998 2063.1 1998 2061.9 C
6.3030 +1996.1 2062.3 1996.6 2058.3 1994.2 2058.8 C
6.3031 +1992.6 2057.7 1992.7 2054.8 1989.9 2056.6 C
6.3032 +1985.6 2059.3 1980.9 2060.8 1976.7 2063.6 C
6.3033 +1976 2066.9 1976 2071.2 1976.7 2074.6 C
6.3034 +1977.6 2070.8 1973.1 2062.1 1980.5 2061.2 C
6.3035 +1984.3 2060.3 1987.5 2058.2 1990.8 2056.4 C
6.3036 +1991.7 2056.8 1992.9 2057.2 1993.5 2059.2 C
6.3037 +1994.3 2058.6 1994.4 2060.6 1994.7 2059.2 C
6.3038 +1995.3 2062.7 1999.2 2061.4 1998.8 2064.8 C
6.3039 +2001.8 2065.4 2002.5 2068.4 2005.2 2067.4 C
6.3040 +2004.9 2067.9 2006 2068 2006.4 2069.1 C
6.3041 +2001.8 2071.1 1997.4 2073.9 1992.8 2075.8 C
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6.3056 +1976 2060.6 1977.6 2059.7 1977.9 2059.5 C
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6.3060 +1989.6 2051.3 m
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6.3063 +1988.9 2026.7 1986.7 2026.9 1986.8 2024.7 C
6.3064 +1987.4 2023 1985.9 2024.6 1985.1 2023.7 C
6.3065 +1984.1 2021.4 1982.5 2020.5 1980.3 2020.6 C
6.3066 +1979.9 2020.8 1979.5 2021.1 1979.3 2021.6 C
6.3067 +1979.7 2025.8 1978.4 2033 1979.6 2038.1 C
6.3068 +1983.7 2042.9 1968.8 2044.6 1978.8 2042.7 C
6.3069 +1979.3 2042.3 1979.6 2041.9 1980 2041.5 C
6.3070 +1980 2034.8 1980 2027 1980 2021.6 C
6.3071 +1981.3 2020.5 1981.7 2021.5 1982.9 2021.8 C
6.3072 +1983.6 2024.7 1986.1 2023.8 1986.8 2026.4 C
6.3073 +1987.1 2027.7 1988.6 2027.1 1989.2 2028.3 C
6.3074 +1989.1 2036.7 1989.3 2044.8 1988.9 2053.7 C
6.3075 +1987.2 2054.9 1986.2 2056.8 1983.9 2057.1 C
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6.3082 +1969.9 2053.7 1967.6 2051.7 1965.6 2049.6 C
6.3083 +1961.4 2050.4 1957.6 2053.6 1953.4 2055.2 C
6.3084 +1949.8 2055.6 1948.2 2051.2 1945.5 2049.6 C
6.3085 +1945.1 2048.8 1944.5 2047.9 1943.6 2047.5 C
6.3086 +1940.1 2047.8 1937.3 2051 1934 2052.3 C
6.3087 +1933.7 2052.6 1933.7 2053 1933.2 2053.2 C
6.3088 +1933.7 2060.8 1933.4 2067.2 1933.5 2074.6 C
6.3089 +1933.8 2068.1 1934 2060.9 1933.2 2054 C
6.3090 +1935.3 2050.9 1939.3 2049.6 1942.4 2047.5 C
6.3091 +1942.8 2047.5 1943.4 2047.4 1943.8 2047.7 C
6.3092 +1947.1 2050.2 1950.3 2057.9 1955.3 2054.4 C
6.3093 +1955.4 2054.4 1955.5 2054.3 1955.6 2054.2 C
6.3094 +1955.9 2057.6 1956.1 2061.8 1955.3 2064.8 C
6.3095 +1955.4 2064.3 1955.1 2063.8 1955.6 2063.6 C
6.3096 +1956 2066.6 1955.3 2068.7 1958.7 2069.8 C
6.3097 +1959.2 2071.7 1961.4 2071.7 1962 2074.1 C
6.3098 +1964.4 2074.2 1964 2077.7 1967.3 2078.4 C
6.3099 +1967 2079.7 1968.1 2079.9 1969 2080.1 C
6.3100 +1971.1 2079.9 1970 2079.2 1970.4 2078 C
6.3101 +1969.5 2077.2 1970.3 2075.9 1969.7 2075.1 C
6.3102 +1970.1 2069.8 1970.1 2063.6 1969.7 2058.8 C
6.3103 +1969.2 2058.5 1970 2058.1 1970.2 2057.8 C
6.3104 +1970.4 2058.3 1971.2 2057.7 1971.4 2058.3 C
6.3105 +1971.5 2065.3 1971.2 2073.6 1971.6 2081.1 C
6.3106 +1974.1 2081.4 1969.8 2084.3 1972.4 2082.5 C
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6.3122 +1974.6 2037.6 1972.5 2039.3 1972.1 2038.4 C
6.3123 +1970.4 2038.4 1970.5 2035.5 1968 2035.7 C
6.3124 +1968.6 2032.5 1964 2033.3 1964 2030.4 C
6.3125 +1961.9 2029.8 1961.4 2026.8 1959.2 2026.8 C
6.3126 +1957.7 2028.5 1952.6 2025.3 1953.9 2029.5 C
6.3127 +1952.9 2031.5 1947 2028.2 1947.9 2032.4 C
6.3128 +1946 2034.2 1941.5 2031.5 1941.9 2035.7 C
6.3129 +1940.6 2036.1 1938.9 2036.1 1937.6 2035.7 C
6.3130 +1937.3 2037.5 1940.7 2038.2 1941.2 2040.3 C
6.3131 +1943.7 2041.1 1944.4 2043.9 1946.4 2045.6 C
6.3132 +1949.1 2046.7 1949.9 2048.8 1952.2 2051.1 C
6.3133 +1959.9 2047.1 1967.7 2043.6 1975.5 2039.8 C
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6.3161 +1987.2 2054.9 m
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6.3165 +1968 2047.7 1968 2047.4 1968.3 2047.2 C
6.3166 +1969.5 2046.1 1983 2040.8 1972.4 2044.8 C
6.3167 +1971.2 2046.6 1967.9 2046 1968 2048.2 C
6.3168 +1970.5 2050.7 1973.8 2052.6 1974.3 2055.6 C
6.3169 +1975.1 2055 1975.7 2056.7 1975.7 2057.1 C
6.3170 +1975.7 2058.2 1974.8 2059.3 1975.5 2060.4 C
6.3171 +1979.3 2058.2 1983.9 2057.7 1987.2 2054.9 C
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6.3184 +1976.9 2032.8 1976.3 2024.4 1977.2 2017 C
6.3185 +1976.4 2016.5 1976.6 2014.8 1976.9 2013.9 C
6.3186 +1978.7 2012.7 1977.2 2013 1976.2 2012.9 C
6.3187 +1971.5 2008.1 1965.9 2003.1 1961.8 1998 C
6.3188 +1960.9 1998 1960.1 1998 1959.2 1998 C
6.3189 +1951.5 2001.1 1944.3 2005.5 1937.1 2009.6 C
6.3190 +1935 2012.9 1937 2013.6 1936.1 2017.2 C
6.3191 +1937.1 2017.2 1936 2018 1936.4 2017.7 C
6.3192 +1937 2020.1 1935.5 2022.1 1936.4 2024.9 C
6.3193 +1936.8 2027.2 1936.5 2029.7 1936.6 2032.1 C
6.3194 +1937.4 2028.2 1936 2023.8 1936.8 2020.1 C
6.3195 +1938.3 2015.7 1933.6 2011 1939 2008.6 C
6.3196 +1945.9 2004.5 1953.1 2000.3 1960.6 1998.3 C
6.3197 +1960.9 1998.3 1961.3 1998.3 1961.6 1998.3 C
6.3198 +1966.2 2003.5 1971.8 2008.4 1976.4 2013.6 C
6.3199 +1976.6 2015.5 1976 2018.1 1976.9 2019.2 C
6.3200 +1976.1 2025.8 1976.4 2033.2 1976.7 2040 C
6.3201 +1971.9 2042.4 1967.4 2045 1962.5 2047 C
6.3202 +1967.3 2044.9 1972 2042.6 1976.7 2040.3 C
6.3203 +f
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6.3206 +1939 2038.6 m
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6.3212 +2006.2 2065.7 m
6.3213 +2006 2057.3 2006.7 2049 2006.2 2042.7 C
6.3214 +2002.1 2038.4 1997.7 2033.4 1993 2030 C
6.3215 +1992.9 2029.3 1992.5 2028.6 1992 2028.3 C
6.3216 +1992.1 2036.6 1991.9 2046.2 1992.3 2054.9 C
6.3217 +1990.8 2056.2 1989 2056.7 1987.5 2058 C
6.3218 +1988.7 2057.7 1990.7 2054.4 1993 2056.4 C
6.3219 +1993.4 2058.8 1996 2058.2 1996.6 2060.9 C
6.3220 +1999 2061 1998.5 2064.5 2001.9 2065.2 C
6.3221 +2001.5 2066.5 2002.7 2066.7 2003.6 2066.9 C
6.3222 +2005.7 2066.7 2004.6 2066 2005 2064.8 C
6.3223 +2004 2064 2004.8 2062.7 2004.3 2061.9 C
6.3224 +2004.6 2056.6 2004.6 2050.4 2004.3 2045.6 C
6.3225 +2003.7 2045.3 2004.6 2044.9 2004.8 2044.6 C
6.3226 +2005 2045.1 2005.7 2044.5 2006 2045.1 C
6.3227 +2006 2052.1 2005.8 2060.4 2006.2 2067.9 C
6.3228 +2008.7 2068.2 2004.4 2071.1 2006.9 2069.3 C
6.3229 +2006.4 2068.2 2006.2 2067 2006.2 2065.7 C
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6.3236 +2009.3 2045 2011.7 2042.6 2008.8 2041.7 C
6.3237 +2004.3 2035.1 1997.6 2030.9 1993 2024.4 C
6.3238 +1992.1 2024 1991.5 2024.3 1990.8 2024 C
6.3239 +1993.2 2023.9 1995.3 2027.1 1996.8 2029 C
6.3240 +2000.4 2032.6 2004.9 2036.9 2008.4 2040.8 C
6.3241 +2008.2 2043.1 2011.4 2042.8 2009.8 2045.8 C
6.3242 +2009.8 2046.3 2009.7 2046.9 2010 2047.2 C
6.3243 +2013.8 2045 2018.5 2044.5 2021.8 2041.7 C
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6.3248 +2001.6 2034 m
6.3249 +2000.7 2033.1 1999.9 2032.3 1999 2031.4 C
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6.3258 +1990.5 2025.8 1990.7 2024.2 1992.8 2024.9 C
6.3259 +1993.8 2025.9 1995 2027.1 1995.9 2028 C
6.3260 +1994.3 2026 1991.9 2023.4 1989.4 2024.4 C
6.3261 +[0 0.87 0.91 0.83] vc
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6.3269 +1984.6 2018.6 1986.3 2017.2 1987.7 2016.8 C
6.3270 +1987.2 2017.5 1982.9 2017.9 1984.4 2020.6 C
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6.3275 +1981.7 2017 m
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6.3281 +1884.3 2019.2 m
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6.3283 +1886.6 1989.3 1889.9 1988.9 1892.4 1987 C
6.3284 +1890.8 1988.7 1886 1989.1 1884.3 1992.3 C
6.3285 +1884.7 2001 1884.5 2011.3 1884.5 2019.9 C
6.3286 +1891 2025.1 1895.7 2031.5 1902 2036.9 C
6.3287 +1896.1 2031 1890 2024.9 1884.3 2019.2 C
6.3288 +[0.07 0.06 0 0.58] vc
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6.3292 +1884 2019.4 m
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6.3294 +1884.8 1990.4 1887.8 1989 1884.8 1990.8 C
6.3295 +1884.3 1991.3 1884.3 1992 1884 1992.5 C
6.3296 +1884.5 2001.2 1884.2 2011.1 1884.3 2019.9 C
6.3297 +1887.9 2023.1 1891.1 2026.4 1894.4 2030 C
6.3298 +1891.7 2026.1 1887.1 2022.9 1884 2019.4 C
6.3299 +[0.4 0.4 0 0] vc
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6.3310 +1975.5 2036.4 m
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6.3312 +1971.1 2008.5 1965.6 2003.6 1961.6 1999 C
6.3313 +1958.8 1998 1956 2000 1953.6 2001.2 C
6.3314 +1948.2 2004.7 1941.9 2006.5 1937.1 2010.8 C
6.3315 +1937.5 2018.3 1937.3 2024.7 1937.3 2032.1 C
6.3316 +1937.6 2025.6 1937.9 2018.4 1937.1 2011.5 C
6.3317 +1937.3 2011 1937.6 2010.5 1937.8 2010 C
6.3318 +1944.6 2005.7 1951.9 2002.3 1959.2 1999 C
6.3319 +1960.1 1998.5 1960.1 1999.8 1960.4 2000.4 C
6.3320 +1959.7 2006.9 1959.7 2014.2 1959.4 2021.1 C
6.3321 +1959 2021.1 1959.2 2021.9 1959.2 2022.3 C
6.3322 +1959.2 2021.9 1959 2021.3 1959.4 2021.1 C
6.3323 +1959.8 2024.1 1959.2 2026.2 1962.5 2027.3 C
6.3324 +1963 2029.2 1965.3 2029.2 1965.9 2031.6 C
6.3325 +1968.3 2031.8 1967.8 2035.2 1971.2 2036 C
6.3326 +1970.8 2037.2 1971.9 2037.5 1972.8 2037.6 C
6.3327 +1974.9 2037.4 1973.9 2036.7 1974.3 2035.5 C
6.3328 +1973.3 2034.7 1974.1 2033.4 1973.6 2032.6 C
6.3329 +1973.9 2027.3 1973.9 2021.1 1973.6 2016.3 C
6.3330 +1973 2016 1973.9 2015.6 1974 2015.3 C
6.3331 +1974.3 2015.9 1975 2015.3 1975.2 2015.8 C
6.3332 +1975.3 2022.8 1975.1 2031.2 1975.5 2038.6 C
6.3333 +1977.9 2039 1973.7 2041.8 1976.2 2040 C
6.3334 +1975.7 2039 1975.5 2037.8 1975.5 2036.4 C
6.3335 +[0 0.4 1 0] vc
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6.3340 +1987.5 2014.8 1983.4 2015.6 1979.8 2017.7 C
6.3341 +1978.5 2015.7 1981 2013.3 1978.1 2012.4 C
6.3342 +1973.6 2005.8 1966.8 2001.6 1962.3 1995.2 C
6.3343 +1961.4 1994.7 1960.8 1995 1960.1 1994.7 C
6.3344 +1962.5 1994.6 1964.6 1997.8 1966.1 1999.7 C
6.3345 +1969.7 2003.3 1974.2 2007.6 1977.6 2011.5 C
6.3346 +1977.5 2013.8 1980.6 2013.5 1979.1 2016.5 C
6.3347 +1979.1 2017 1979 2017.6 1979.3 2018 C
6.3348 +1983.1 2015.7 1987.8 2015.2 1991.1 2012.4 C
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6.3353 +1970.9 2004.8 m
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6.3355 +1969.2 2003 1970 2003.9 1970.9 2004.8 C
6.3356 +[0 0.87 0.91 0.83] vc
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6.3360 +1887.9 1994.9 m
6.3361 +1888.5 1992.3 1891.4 1992.2 1893.2 1990.8 C
6.3362 +1898.4 1987.5 1904 1984.8 1909.5 1982.2 C
6.3363 +1909.7 1982.7 1910.3 1982.1 1910.4 1982.7 C
6.3364 +1909.5 1990.5 1910.1 1996.4 1910 2004.5 C
6.3365 +1909.1 2003.4 1909.7 2005.8 1909.5 2006.4 C
6.3366 +1910.4 2006 1909.7 2008 1910.2 2007.9 C
6.3367 +1911.3 2010.6 1912.5 2012.6 1915.7 2013.4 C
6.3368 +1915.8 2013.7 1915.5 2014.4 1916 2014.4 C
6.3369 +1916.3 2015 1915.4 2016 1915.2 2016 C
6.3370 +1916.1 2015.5 1916.5 2014.5 1916 2013.6 C
6.3371 +1913.4 2013.3 1913.1 2010.5 1910.9 2009.8 C
6.3372 +1910.7 2008.8 1910.4 2007.9 1910.2 2006.9 C
6.3373 +1911.1 1998.8 1909.4 1990.7 1910.7 1982.4 C
6.3374 +1910 1982.1 1908.9 1982.1 1908.3 1982.4 C
6.3375 +1901.9 1986.1 1895 1988.7 1888.8 1993 C
6.3376 +1888 1993.4 1888.4 1994.3 1887.6 1994.7 C
6.3377 +1888.1 2001.3 1887.8 2008.6 1887.9 2015.1 C
6.3378 +1887.3 2017.5 1887.9 2015.4 1888.4 2014.4 C
6.3379 +1887.8 2008 1888.4 2001.3 1887.9 1994.9 C
6.3380 +[0.07 0.06 0 0.58] vc
6.3381 +f
6.3382 +S
6.3383 +n
6.3384 +vmrs
6.3385 +1887.9 2018.4 m
6.3386 +1887.5 2016.9 1888.5 2016 1888.8 2014.8 C
6.3387 +1890.1 2014.8 1891.1 2016.6 1892.4 2015.3 C
6.3388 +1892.4 2014.4 1893.8 2012.9 1894.4 2012.4 C
6.3389 +1895.9 2012.4 1896.6 2013.9 1897.7 2012.7 C
6.3390 +1898.4 2011.7 1898.6 2010.4 1899.6 2009.8 C
6.3391 +1901.7 2009.9 1902.9 2010.4 1904 2009.1 C
6.3392 +1904.3 2007.4 1904 2007.6 1904.9 2007.2 C
6.3393 +1906.2 2007 1907.6 2006.5 1908.8 2006.7 C
6.3394 +1910.6 2008.2 1909.8 2011.5 1912.6 2012 C
6.3395 +1912.4 2013 1913.8 2012.7 1914 2013.2 C
6.3396 +1911.5 2011.1 1909.1 2007.9 1909.2 2004.3 C
6.3397 +1909.5 2003.5 1909.9 2004.9 1909.7 2004.3 C
6.3398 +1909.9 1996.2 1909.3 1990.5 1910.2 1982.7 C
6.3399 +1909.5 1982.6 1909.5 1982.6 1908.8 1982.7 C
6.3400 +1903.1 1985.7 1897 1987.9 1891.7 1992 C
6.3401 +1890.5 1993 1888.2 1992.9 1888.1 1994.9 C
6.3402 +1888.7 2001.4 1888.1 2008.4 1888.6 2014.8 C
6.3403 +1888.3 2016 1887.2 2016.9 1887.6 2018.4 C
6.3404 +1892.3 2023.9 1897.6 2027.9 1902.3 2033.3 C
6.3405 +1898 2028.2 1892.1 2023.8 1887.9 2018.4 C
6.3406 +[0.4 0.4 0 0] vc
6.3407 +f
6.3408 +0.4 w
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6.3410 +2 M
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6.3413 +1910.9 1995.2 m
6.3414 +1910.4 1999.8 1911 2003.3 1910.9 2008.1 C
6.3415 +1910.9 2003.8 1910.9 1999.2 1910.9 1995.2 C
6.3416 +[0.18 0.18 0 0.78] vc
6.3417 +f
6.3418 +S
6.3419 +n
6.3420 +1911.2 2004.3 m
6.3421 +1911.2 2001.9 1911.2 1999.7 1911.2 1997.3 C
6.3422 +1911.2 1999.7 1911.2 2001.9 1911.2 2004.3 C
6.3423 +[0 0.87 0.91 0.83] vc
6.3424 +f
6.3425 +S
6.3426 +n
6.3427 +1958.7 1995.2 m
6.3428 +1959 1995.6 1956.2 1995 1956.5 1996.8 C
6.3429 +1955.8 1997.6 1954.2 1998.5 1953.6 1997.3 C
6.3430 +1953.6 1990.8 1954.9 1989.6 1953.4 1983.9 C
6.3431 +1953.4 1983.3 1953.3 1982.1 1954.4 1982 C
6.3432 +1955.5 1982.6 1956.5 1981.3 1957.5 1981 C
6.3433 +1956.3 1981.8 1954.7 1982.6 1953.9 1981.5 C
6.3434 +1951.4 1983 1954.7 1988.8 1952.9 1990.6 C
6.3435 +1953.8 1990.6 1953.2 1992.7 1953.4 1993.7 C
6.3436 +1953.8 1994.5 1952.3 1996.1 1953.2 1997.8 C
6.3437 +1956.3 1999.4 1957.5 1994 1959.9 1995.6 C
6.3438 +1962 1994.4 1963.7 1997.7 1965.2 1998.8 C
6.3439 +1963.5 1996.7 1961.2 1994.1 1958.7 1995.2 C
6.3440 +f
6.3441 +S
6.3442 +n
6.3443 +1945 2000.7 m
6.3444 +1945.4 1998.7 1945.4 1997.9 1945 1995.9 C
6.3445 +1944.5 1995.3 1944.2 1992.6 1945.7 1993.2 C
6.3446 +1946 1992.2 1948.7 1992.5 1948.4 1990.6 C
6.3447 +1947.5 1990.3 1948.1 1988.7 1947.9 1988.2 C
6.3448 +1948.9 1987.8 1950.5 1986.8 1950.5 1984.6 C
6.3449 +1951.5 1980.9 1946.7 1983 1947.2 1979.8 C
6.3450 +1944.5 1979.9 1945.2 1976.6 1943.1 1976.7 C
6.3451 +1941.8 1975.7 1942.1 1972.7 1939.2 1973.8 C
6.3452 +1938.2 1974.6 1939.3 1971.6 1938.3 1970.9 C
6.3453 +1938.8 1969.2 1933.4 1970.3 1937.3 1970 C
6.3454 +1939.4 1971.2 1937.2 1973 1937.6 1974.3 C
6.3455 +1937.2 1976.3 1937.1 1981.2 1937.8 1984.1 C
6.3456 +1938.8 1982.3 1937.9 1976.6 1938.5 1973.1 C
6.3457 +1938.9 1975 1938.5 1976.4 1939.7 1977.2 C
6.3458 +1939.5 1983.5 1938.9 1991.3 1940.2 1997.3 C
6.3459 +1939.4 1999.1 1938.6 1997.1 1937.8 1997.1 C
6.3460 +1937.4 1996.7 1937.6 1996.1 1937.6 1995.6 C
6.3461 +1936.5 1998.5 1940.1 1998.4 1940.9 2000.7 C
6.3462 +1942.1 2000.4 1943.2 2001.3 1943.1 2002.4 C
6.3463 +1943.6 2003.1 1941.1 2004.6 1942.8 2003.8 C
6.3464 +1943.9 2002.5 1942.6 2000.6 1945 2000.7 C
6.3465 +[0.65 0.65 0 0.42] vc
6.3466 +f
6.3467 +S
6.3468 +n
6.3469 +1914.5 2006.4 m
6.3470 +1914.1 2004.9 1915.2 2004 1915.5 2002.8 C
6.3471 +1916.7 2002.8 1917.8 2004.6 1919.1 2003.3 C
6.3472 +1919 2002.4 1920.4 2000.9 1921 2000.4 C
6.3473 +1922.5 2000.4 1923.2 2001.9 1924.4 2000.7 C
6.3474 +1925 1999.7 1925.3 1998.4 1926.3 1997.8 C
6.3475 +1928.4 1997.9 1929.5 1998.4 1930.6 1997.1 C
6.3476 +1930.9 1995.4 1930.7 1995.6 1931.6 1995.2 C
6.3477 +1932.8 1995 1934.3 1994.5 1935.4 1994.7 C
6.3478 +1936.1 1995.8 1936.9 1996.2 1936.6 1997.8 C
6.3479 +1938.9 1999.4 1939.7 2001.3 1942.4 2002.4 C
6.3480 +1942.4 2002.5 1942.2 2003 1942.6 2002.8 C
6.3481 +1942.9 2000.4 1939.2 2001.8 1939.2 1999.7 C
6.3482 +1936.2 1998.6 1937 1995.3 1935.9 1993.5 C
6.3483 +1937.1 1986.5 1935.2 1977.9 1937.6 1971.2 C
6.3484 +1937.6 1970.3 1936.6 1971 1936.4 1970.4 C
6.3485 +1930.2 1973.4 1924 1976 1918.4 1980 C
6.3486 +1917.2 1981 1914.9 1980.9 1914.8 1982.9 C
6.3487 +1915.3 1989.4 1914.7 1996.4 1915.2 2002.8 C
6.3488 +1914.9 2004 1913.9 2004.9 1914.3 2006.4 C
6.3489 +1919 2011.9 1924.2 2015.9 1928.9 2021.3 C
6.3490 +1924.6 2016.2 1918.7 2011.8 1914.5 2006.4 C
6.3491 +[0.4 0.4 0 0] vc
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6.3493 +S
6.3494 +n
6.3495 +1914.5 1982.9 m
6.3496 +1915.1 1980.3 1918 1980.2 1919.8 1978.8 C
6.3497 +1925 1975.5 1930.6 1972.8 1936.1 1970.2 C
6.3498 +1939.4 1970.6 1936.1 1974.2 1936.6 1976.4 C
6.3499 +1936.5 1981.9 1936.8 1987.5 1936.4 1992.8 C
6.3500 +1935.9 1992.8 1936.2 1993.5 1936.1 1994 C
6.3501 +1937.1 1993.6 1936.2 1995.9 1936.8 1995.9 C
6.3502 +1937 1998 1939.5 1999.7 1940.4 2000.7 C
6.3503 +1940.1 1998.6 1935 1997.2 1937.6 1993.7 C
6.3504 +1938.3 1985.7 1935.9 1976.8 1937.8 1970.7 C
6.3505 +1936.9 1969.8 1935.4 1970.3 1934.4 1970.7 C
6.3506 +1928.3 1974.4 1921.4 1976.7 1915.5 1981 C
6.3507 +1914.6 1981.4 1915.1 1982.3 1914.3 1982.7 C
6.3508 +1914.7 1989.3 1914.5 1996.6 1914.5 2003.1 C
6.3509 +1913.9 2005.5 1914.5 2003.4 1915 2002.4 C
6.3510 +1914.5 1996 1915.1 1989.3 1914.5 1982.9 C
6.3511 +[0.07 0.06 0 0.58] vc
6.3512 +f
6.3513 +S
6.3514 +n
6.3515 +1939.2 1994.9 m
6.3516 +1939.3 1995 1939.4 1995.1 1939.5 1995.2 C
6.3517 +1939.1 1989 1939.3 1981.6 1939 1976.7 C
6.3518 +1938.6 1976.3 1938.6 1974.6 1938.5 1973.3 C
6.3519 +1938.7 1976.1 1938.1 1979.4 1939 1981.7 C
6.3520 +1937.3 1986 1937.7 1991.6 1938 1996.4 C
6.3521 +1937.3 1994.3 1939.6 1996.2 1939.2 1994.9 C
6.3522 +[0.18 0.18 0 0.78] vc
6.3523 +f
6.3524 +S
6.3525 +n
6.3526 +1938.3 1988.4 m
6.3527 +1938.5 1990.5 1937.9 1994.1 1938.8 1994.7 C
6.3528 +1937.9 1992.6 1939 1990.6 1938.3 1988.4 C
6.3529 +[0 0.87 0.91 0.83] vc
6.3530 +f
6.3531 +S
6.3532 +n
6.3533 +1938.8 1985.8 m
6.3534 +1938.5 1985.9 1938.4 1985.7 1938.3 1985.6 C
6.3535 +1938.4 1986.2 1938 1989.5 1938.8 1987.2 C
6.3536 +1938.8 1986.8 1938.8 1986.3 1938.8 1985.8 C
6.3537 +f
6.3538 +S
6.3539 +n
6.3540 +vmrs
6.3541 +1972.8 2062.1 m
6.3542 +1971.9 2061 1972.5 2059.4 1972.4 2058 C
6.3543 +1972.2 2063.8 1971.9 2073.7 1972.4 2081.3 C
6.3544 +1972.5 2074.9 1971.9 2067.9 1972.8 2062.1 C
6.3545 +[0 1 1 0.36] vc
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6.3549 +2 M
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6.3551 +n
6.3552 +1940.2 2071.7 m
6.3553 +1941.3 2072 1943.1 2072.3 1944 2071.5 C
6.3554 +1943.6 2069.9 1945.2 2069.1 1946 2068.8 C
6.3555 +1950 2071.1 1948.7 2065.9 1951.7 2066.2 C
6.3556 +1953.5 2063.9 1956.9 2069.4 1955.6 2063.8 C
6.3557 +1955.5 2064.2 1955.7 2064.8 1955.3 2065 C
6.3558 +1954.3 2063.7 1956.2 2063.6 1955.6 2062.1 C
6.3559 +1954.5 2060 1958.3 2050.3 1952.2 2055.6 C
6.3560 +1949.1 2053.8 1946 2051 1943.8 2048 C
6.3561 +1940.3 2048 1937.5 2051.3 1934.2 2052.5 C
6.3562 +1933.1 2054.6 1934.4 2057.3 1934 2060 C
6.3563 +1934 2065.1 1934 2069.7 1934 2074.6 C
6.3564 +1934.4 2069 1934.1 2061.5 1934.2 2054.9 C
6.3565 +1934.6 2054.5 1935.3 2054.7 1935.9 2054.7 C
6.3566 +1937 2055.3 1935.9 2056.1 1935.9 2056.8 C
6.3567 +1936.5 2063 1935.6 2070.5 1935.9 2074.6 C
6.3568 +1936.7 2074.4 1937.3 2075.2 1938 2074.6 C
6.3569 +1937.9 2073.6 1939.1 2072.1 1940.2 2071.7 C
6.3570 +[0 0.2 1 0] vc
6.3571 +f
6.3572 +S
6.3573 +n
6.3574 +1933.2 2074.1 m
6.3575 +1933.2 2071.5 1933.2 2069 1933.2 2066.4 C
6.3576 +1933.2 2069 1933.2 2071.5 1933.2 2074.1 C
6.3577 +[0 1 1 0.36] vc
6.3578 +f
6.3579 +S
6.3580 +n
6.3581 +2007.4 2048.9 m
6.3582 +2006.5 2047.8 2007.1 2046.2 2006.9 2044.8 C
6.3583 +2006.7 2050.6 2006.5 2060.5 2006.9 2068.1 C
6.3584 +2007.1 2061.7 2006.5 2054.7 2007.4 2048.9 C
6.3585 +f
6.3586 +S
6.3587 +n
6.3588 +1927.2 2062.4 m
6.3589 +1925.8 2060.1 1928.1 2058.2 1927 2056.4 C
6.3590 +1927.3 2055.5 1926.5 2053.5 1926.8 2051.8 C
6.3591 +1926.8 2052.8 1926 2052.5 1925.3 2052.5 C
6.3592 +1924.1 2052.8 1925 2050.5 1924.4 2050.1 C
6.3593 +1925.3 2050.2 1925.4 2048.8 1926.3 2049.4 C
6.3594 +1926.5 2052.3 1928.4 2047.2 1928.4 2051.1 C
6.3595 +1928.9 2050.5 1929 2051.4 1928.9 2051.8 C
6.3596 +1928.9 2052 1928.9 2052.3 1928.9 2052.5 C
6.3597 +1929.4 2051.4 1928.9 2049 1930.1 2048.2 C
6.3598 +1928.9 2047.1 1930.5 2047.1 1930.4 2046.5 C
6.3599 +1931.9 2046.2 1933.1 2046.1 1934.7 2046.5 C
6.3600 +1934.6 2046.9 1935.2 2047.9 1934.4 2048.4 C
6.3601 +1936.9 2048.1 1933.6 2043.8 1935.9 2043.9 C
6.3602 +1935.7 2043.9 1934.8 2041.3 1933.2 2041.7 C
6.3603 +1932.5 2041.6 1932.4 2039.6 1932.3 2041 C
6.3604 +1930.8 2042.6 1929 2040.6 1927.7 2042 C
6.3605 +1927.5 2041.4 1927.1 2040.9 1927.2 2040.3 C
6.3606 +1927.8 2040.6 1927.4 2039.1 1928.2 2038.6 C
6.3607 +1929.4 2038 1930.5 2038.8 1931.3 2037.9 C
6.3608 +1931.7 2039 1932.5 2038.6 1931.8 2037.6 C
6.3609 +1930.9 2037 1928.7 2037.8 1928.2 2037.9 C
6.3610 +1926.7 2037.8 1928 2039 1927 2038.8 C
6.3611 +1927.4 2040.4 1925.6 2040.8 1925.1 2041 C
6.3612 +1924.3 2040.4 1923.2 2040.5 1922.2 2040.5 C
6.3613 +1921.4 2041.7 1921 2043.9 1919.3 2043.9 C
6.3614 +1918.8 2043.4 1917.2 2043.3 1916.4 2043.4 C
6.3615 +1915.9 2044.4 1915.7 2046 1914.3 2046.5 C
6.3616 +1913.1 2046.6 1912 2044.5 1911.4 2046.3 C
6.3617 +1912.8 2046.5 1913.8 2047.4 1915.7 2047 C
6.3618 +1916.9 2047.7 1915.6 2048.8 1916 2049.4 C
6.3619 +1915.4 2049.3 1913.9 2050.3 1913.3 2051.1 C
6.3620 +1913.9 2054.1 1916 2050.2 1916.7 2053 C
6.3621 +1916.9 2053.8 1915.5 2054.1 1916.7 2054.4 C
6.3622 +1917 2054.7 1920.2 2054.3 1919.3 2056.6 C
6.3623 +1918.8 2056.1 1920.2 2058.6 1920.3 2057.6 C
6.3624 +1921.2 2057.9 1922.1 2057.5 1922.4 2059 C
6.3625 +1922.3 2059.1 1922.2 2059.3 1922 2059.2 C
6.3626 +1922.1 2059.7 1922.4 2060.3 1922.9 2060.7 C
6.3627 +1923.2 2060.1 1923.8 2060.4 1924.6 2060.7 C
6.3628 +1925.9 2062.6 1923.2 2062 1925.6 2063.6 C
6.3629 +1926.1 2063.1 1927.3 2062.5 1927.2 2062.4 C
6.3630 +[0.21 0.21 0 0] vc
6.3631 +f
6.3632 +S
6.3633 +n
6.3634 +1933.2 2063.3 m
6.3635 +1933.2 2060.7 1933.2 2058.2 1933.2 2055.6 C
6.3636 +1933.2 2058.2 1933.2 2060.7 1933.2 2063.3 C
6.3637 +[0 1 1 0.36] vc
6.3638 +f
6.3639 +S
6.3640 +n
6.3641 +1965.2 2049.2 m
6.3642 +1967.1 2050.1 1969.9 2053.7 1972.1 2056.4 C
6.3643 +1970.5 2054 1967.6 2051.3 1965.2 2049.2 C
6.3644 +f
6.3645 +S
6.3646 +n
6.3647 +1991.8 2034.8 m
6.3648 +1991.7 2041.5 1992 2048.5 1991.6 2055.2 C
6.3649 +1990.5 2056.4 1991.9 2054.9 1991.8 2054.4 C
6.3650 +1991.8 2047.9 1991.8 2041.3 1991.8 2034.8 C
6.3651 +f
6.3652 +S
6.3653 +n
6.3654 +1988.9 2053.2 m
6.3655 +1988.9 2044.3 1988.9 2036.6 1988.9 2028.3 C
6.3656 +1985.7 2028.2 1987.2 2023.5 1983.9 2024.2 C
6.3657 +1983.9 2022.4 1982 2021.6 1981 2021.3 C
6.3658 +1980.6 2021.1 1980.6 2021.7 1980.3 2021.6 C
6.3659 +1980.3 2027 1980.3 2034.8 1980.3 2041.5 C
6.3660 +1979.3 2043.2 1977.6 2043 1976.2 2043.6 C
6.3661 +1977.1 2043.8 1978.5 2043.2 1978.8 2044.1 C
6.3662 +1978.5 2045.3 1979.9 2045.3 1980.3 2045.8 C
6.3663 +1980.5 2046.8 1980.7 2046.2 1981.5 2046.5 C
6.3664 +1982.4 2047.1 1982 2048.6 1982.7 2049.4 C
6.3665 +1984.2 2049.6 1984.6 2052.2 1986.8 2051.6 C
6.3666 +1987.1 2048.6 1985.1 2042.7 1986.5 2040.5 C
6.3667 +1986.3 2036.7 1986.9 2031.7 1986 2029.2 C
6.3668 +1986.3 2027.1 1986.9 2028.6 1987.7 2027.6 C
6.3669 +1987.7 2028.3 1988.7 2028 1988.7 2028.8 C
6.3670 +1988.1 2033 1988.7 2037.5 1988.2 2041.7 C
6.3671 +1987.8 2041.4 1988 2040.8 1988 2040.3 C
6.3672 +1988 2041 1988 2042.4 1988 2042.4 C
6.3673 +1988 2042.4 1988.1 2042.3 1988.2 2042.2 C
6.3674 +1989.3 2046 1988 2050.2 1988.4 2054 C
6.3675 +1987.8 2054.4 1987.1 2054.7 1986.5 2055.4 C
6.3676 +1987.4 2054.4 1988.4 2054.6 1988.9 2053.2 C
6.3677 +[0 1 1 0.23] vc
6.3678 +f
6.3679 +S
6.3680 +n
6.3681 +1950.8 2054.4 m
6.3682 +1949.7 2053.4 1948.7 2052.3 1947.6 2051.3 C
6.3683 +1948.7 2052.3 1949.7 2053.4 1950.8 2054.4 C
6.3684 +[0 1 1 0.36] vc
6.3685 +f
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6.3687 +n
6.3688 +vmrs
6.3689 +2006.7 2043.2 m
6.3690 +2004.5 2040.8 2002.4 2038.4 2000.2 2036 C
6.3691 +2002.4 2038.4 2004.5 2040.8 2006.7 2043.2 C
6.3692 +[0 1 1 0.36] vc
6.3693 +f
6.3694 +0.4 w
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6.3696 +2 M
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6.3699 +1976.7 2019.6 m
6.3700 +1975.8 2018.6 1976.4 2016.9 1976.2 2015.6 C
6.3701 +1976 2021.3 1975.8 2031.2 1976.2 2038.8 C
6.3702 +1976.4 2032.4 1975.8 2025.5 1976.7 2019.6 C
6.3703 +f
6.3704 +S
6.3705 +n
6.3706 +1988.4 2053.5 m
6.3707 +1988.6 2049.2 1988.1 2042.8 1988 2040 C
6.3708 +1988.4 2040.4 1988.1 2041 1988.2 2041.5 C
6.3709 +1988.3 2037.2 1988 2032.7 1988.4 2028.5 C
6.3710 +1987.6 2027.1 1987.2 2028.6 1986.8 2028 C
6.3711 +1985.9 2028.5 1986.5 2029.7 1986.3 2030.4 C
6.3712 +1986.9 2029.8 1986.6 2031 1987 2031.2 C
6.3713 +1987.4 2039.6 1985 2043 1987.2 2050.4 C
6.3714 +1987.2 2051.6 1985.9 2052.3 1984.6 2051.3 C
6.3715 +1981.9 2049.7 1982.9 2047 1980.3 2046.5 C
6.3716 +1980.3 2045.2 1978.1 2046.2 1978.6 2043.9 C
6.3717 +1975.6 2043.3 1979.3 2045.6 1979.6 2046.5 C
6.3718 +1980.8 2046.6 1981.5 2048.5 1982.2 2049.9 C
6.3719 +1983.7 2050.8 1984.8 2052.8 1986.5 2053 C
6.3720 +1986.7 2053.5 1987.5 2054.1 1987 2054.7 C
6.3721 +1987.4 2053.9 1988.3 2054.3 1988.4 2053.5 C
6.3722 +[0 1 1 0.23] vc
6.3723 +f
6.3724 +S
6.3725 +n
6.3726 +1988 2038.1 m
6.3727 +1988 2036.7 1988 2035.4 1988 2034 C
6.3728 +1988 2035.4 1988 2036.7 1988 2038.1 C
6.3729 +[0 1 1 0.36] vc
6.3730 +f
6.3731 +S
6.3732 +n
6.3733 +1999.7 2035.7 m
6.3734 +1997.6 2033.5 1995.4 2031.2 1993.2 2029 C
6.3735 +1995.4 2031.2 1997.6 2033.5 1999.7 2035.7 C
6.3736 +f
6.3737 +S
6.3738 +n
6.3739 +1944 2029.2 m
6.3740 +1945.2 2029.5 1946.9 2029.8 1947.9 2029 C
6.3741 +1947.4 2027.4 1949 2026.7 1949.8 2026.4 C
6.3742 +1953.9 2028.6 1952.6 2023.4 1955.6 2023.7 C
6.3743 +1957.4 2021.4 1960.7 2027 1959.4 2021.3 C
6.3744 +1959.3 2021.7 1959.6 2022.3 1959.2 2022.5 C
6.3745 +1958.1 2021.2 1960.1 2021.1 1959.4 2019.6 C
6.3746 +1959.1 2012.7 1959.9 2005.1 1959.6 1999.2 C
6.3747 +1955.3 2000.1 1951.3 2003.1 1947.2 2005 C
6.3748 +1943.9 2006 1941.2 2008.7 1938 2010 C
6.3749 +1936.9 2012.1 1938.2 2014.8 1937.8 2017.5 C
6.3750 +1937.8 2022.6 1937.8 2027.3 1937.8 2032.1 C
6.3751 +1938.2 2026.5 1938 2019 1938 2012.4 C
6.3752 +1938.5 2012 1939.2 2012.3 1939.7 2012.2 C
6.3753 +1940.8 2012.8 1939.7 2013.6 1939.7 2014.4 C
6.3754 +1940.4 2020.5 1939.4 2028 1939.7 2032.1 C
6.3755 +1940.6 2031.9 1941.2 2032.7 1941.9 2032.1 C
6.3756 +1941.7 2031.2 1943 2029.7 1944 2029.2 C
6.3757 +[0 0.2 1 0] vc
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6.3761 +1937.1 2031.6 m
6.3762 +1937.1 2029.1 1937.1 2026.5 1937.1 2024 C
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6.3768 +1991.8 2028 m
6.3769 +1992.5 2027.8 1993.2 2029.9 1994 2030.2 C
6.3770 +1992.9 2029.6 1993.1 2028.1 1991.8 2028 C
6.3771 +[0 1 1 0.23] vc
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6.3775 +1991.8 2027.8 m
6.3776 +1992.4 2027.6 1992.6 2028.3 1993 2028.5 C
6.3777 +1992.6 2028.2 1992.2 2027.6 1991.6 2027.8 C
6.3778 +1991.6 2028.5 1991.6 2029.1 1991.6 2029.7 C
6.3779 +1991.6 2029.1 1991.4 2028.3 1991.8 2027.8 C
6.3780 +[0 1 1 0.36] vc
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6.3784 +1985.8 2025.4 m
6.3785 +1985.3 2025.2 1984.8 2024.7 1984.1 2024.9 C
6.3786 +1983.3 2025.3 1983.6 2027.3 1983.9 2027.6 C
6.3787 +1985 2028 1986.9 2026.9 1985.8 2025.4 C
6.3788 +[0 1 1 0.23] vc
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6.3794 +1992.4 2023.7 1991.3 2022.9 1990.1 2023.2 C
6.3795 +1990.7 2023.7 1989.8 2023.8 1989.4 2023.7 C
6.3796 +1989.1 2023.7 1988.6 2023.9 1988.4 2023.5 C
6.3797 +1988.5 2023.2 1988.3 2022.7 1988.7 2022.5 C
6.3798 +1989 2022.6 1988.9 2023 1988.9 2023.2 C
6.3799 +1989.1 2022.8 1990.4 2022.3 1990.6 2021.3 C
6.3800 +1990.4 2021.8 1990 2021.3 1990.1 2021.1 C
6.3801 +1990.1 2020.9 1990.1 2020.1 1990.1 2020.6 C
6.3802 +1989.9 2021.1 1989.5 2020.6 1989.6 2020.4 C
6.3803 +1989.6 2019.8 1988.7 2019.6 1988.2 2019.2 C
6.3804 +1987.5 2018.7 1987.7 2020.2 1987 2019.4 C
6.3805 +1987.5 2020.4 1986 2021.1 1987.5 2021.8 C
6.3806 +1986.8 2023.1 1986.6 2021.1 1986 2021.1 C
6.3807 +1986.1 2020.1 1985.9 2019 1986.3 2018.2 C
6.3808 +1986.7 2018.4 1986.5 2019 1986.5 2019.4 C
6.3809 +1986.5 2018.7 1986.4 2017.8 1987.2 2017.7 C
6.3810 +1986.5 2017.2 1985.5 2019.3 1985.3 2020.4 C
6.3811 +1986.2 2022 1987.3 2023.5 1989.2 2024.2 C
6.3812 +1990.8 2024.3 1991.6 2022.9 1993.2 2024.4 C
6.3813 +1993.8 2025.4 1995 2026.6 1995.9 2027.1 C
6.3814 +1995 2026.5 1994.1 2025.5 1993.5 2024.4 C
6.3815 +[0 1 1 0.36] vc
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6.3823 +2023 2040.3 m
6.3824 +2023.2 2036 2022.7 2029.6 2022.5 2026.8 C
6.3825 +2022.9 2027.2 2022.7 2027.8 2022.8 2028.3 C
6.3826 +2022.8 2024 2022.6 2019.5 2023 2015.3 C
6.3827 +2022.2 2013.9 2021.7 2015.4 2021.3 2014.8 C
6.3828 +2020.4 2015.3 2021 2016.5 2020.8 2017.2 C
6.3829 +2021.4 2016.6 2021.1 2017.8 2021.6 2018 C
6.3830 +2022 2026.4 2019.6 2029.8 2021.8 2037.2 C
6.3831 +2021.7 2038.4 2020.5 2039.1 2019.2 2038.1 C
6.3832 +2016.5 2036.5 2017.5 2033.8 2014.8 2033.3 C
6.3833 +2014.9 2032 2012.6 2033 2013.2 2030.7 C
6.3834 +2011.9 2030.8 2011.2 2030.1 2010.8 2029.2 C
6.3835 +2010.8 2029.1 2010.8 2028.2 2010.8 2028.8 C
6.3836 +2010 2028.8 2010.4 2026.5 2008.6 2027.3 C
6.3837 +2007.9 2026.6 2007.3 2025.9 2007.9 2027.1 C
6.3838 +2009.7 2028 2010 2030.1 2012.2 2030.9 C
6.3839 +2012.9 2032.1 2013.7 2033.6 2015.1 2033.6 C
6.3840 +2015.7 2035.1 2016.9 2036.7 2018.4 2038.4 C
6.3841 +2019.8 2039.3 2022 2039.4 2021.6 2041.5 C
6.3842 +2021.9 2040.7 2022.9 2041.1 2023 2040.3 C
6.3843 +[0 1 1 0.23] vc
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6.3847 +2022.5 2024.9 m
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6.3849 +2022.5 2022.2 2022.5 2023.5 2022.5 2024.9 C
6.3850 +[0 1 1 0.36] vc
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6.3854 +1983.2 2022.8 m
6.3855 +1982.4 2022.5 1982.1 2021.6 1981.2 2022.3 C
6.3856 +1981.1 2022.9 1980.5 2024 1981 2024.2 C
6.3857 +1981.8 2024.6 1982.9 2024.4 1983.2 2022.8 C
6.3858 +[0 1 1 0.23] vc
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6.3862 +1931.1 2019.9 m
6.3863 +1929.6 2017.7 1932 2015.7 1930.8 2013.9 C
6.3864 +1931.1 2013 1930.3 2011 1930.6 2009.3 C
6.3865 +1930.6 2010.3 1929.8 2010 1929.2 2010 C
6.3866 +1928 2010.3 1928.8 2008.1 1928.2 2007.6 C
6.3867 +1929.1 2007.8 1929.3 2006.3 1930.1 2006.9 C
6.3868 +1930.3 2009.8 1932.2 2004.8 1932.3 2008.6 C
6.3869 +1932.7 2008 1932.8 2009 1932.8 2009.3 C
6.3870 +1932.8 2009.6 1932.8 2009.8 1932.8 2010 C
6.3871 +1933.2 2009 1932.7 2006.6 1934 2005.7 C
6.3872 +1932.7 2004.6 1934.3 2004.6 1934.2 2004 C
6.3873 +1935.8 2003.7 1937 2003.6 1938.5 2004 C
6.3874 +1938.5 2004.5 1939.1 2005.4 1938.3 2006 C
6.3875 +1940.7 2005.7 1937.4 2001.3 1939.7 2001.4 C
6.3876 +1939.5 2001.4 1938.6 1998.8 1937.1 1999.2 C
6.3877 +1936.3 1999.1 1936.2 1997.1 1936.1 1998.5 C
6.3878 +1934.7 2000.1 1932.9 1998.2 1931.6 1999.5 C
6.3879 +1931.3 1998.9 1930.9 1998.5 1931.1 1997.8 C
6.3880 +1931.6 1998.2 1931.3 1996.6 1932 1996.1 C
6.3881 +1933.2 1995.5 1934.3 1996.4 1935.2 1995.4 C
6.3882 +1935.5 1996.5 1936.3 1996.1 1935.6 1995.2 C
6.3883 +1934.7 1994.5 1932.5 1995.3 1932 1995.4 C
6.3884 +1930.5 1995.3 1931.9 1996.5 1930.8 1996.4 C
6.3885 +1931.2 1997.9 1929.5 1998.3 1928.9 1998.5 C
6.3886 +1928.1 1997.9 1927.1 1998 1926 1998 C
6.3887 +1925.3 1999.2 1924.8 2001.4 1923.2 2001.4 C
6.3888 +1922.6 2000.9 1921 2000.9 1920.3 2000.9 C
6.3889 +1919.7 2001.9 1919.6 2003.5 1918.1 2004 C
6.3890 +1916.9 2004.1 1915.8 2002 1915.2 2003.8 C
6.3891 +1916.7 2004 1917.6 2004.9 1919.6 2004.5 C
6.3892 +1920.7 2005.2 1919.4 2006.3 1919.8 2006.9 C
6.3893 +1919.2 2006.9 1917.7 2007.8 1917.2 2008.6 C
6.3894 +1917.8 2011.6 1919.8 2007.8 1920.5 2010.5 C
6.3895 +1920.8 2011.3 1919.3 2011.6 1920.5 2012 C
6.3896 +1920.8 2012.3 1924 2011.8 1923.2 2014.1 C
6.3897 +1922.6 2013.6 1924.1 2016.1 1924.1 2015.1 C
6.3898 +1925.1 2015.4 1925.9 2015 1926.3 2016.5 C
6.3899 +1926.2 2016.6 1926 2016.8 1925.8 2016.8 C
6.3900 +1925.9 2017.2 1926.2 2017.8 1926.8 2018.2 C
6.3901 +1927.1 2017.6 1927.7 2018 1928.4 2018.2 C
6.3902 +1929.7 2020.1 1927.1 2019.5 1929.4 2021.1 C
6.3903 +1929.9 2020.7 1931.1 2020 1931.1 2019.9 C
6.3904 +[0.21 0.21 0 0] vc
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6.3908 +1937.1 2020.8 m
6.3909 +1937.1 2018.3 1937.1 2015.7 1937.1 2013.2 C
6.3910 +1937.1 2015.7 1937.1 2018.3 1937.1 2020.8 C
6.3911 +[0 1 1 0.36] vc
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6.3915 +2020.4 2012.2 m
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6.3917 +2017.9 2012.1 2018.1 2014.1 2018.4 2014.4 C
6.3918 +2019.6 2014.8 2021.4 2013.7 2020.4 2012.2 C
6.3919 +[0 1 1 0.23] vc
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6.3924 +1973.8 2011.5 1971.6 2009.1 1969.5 2006.7 C
6.3925 +1971.6 2009.1 1973.8 2011.5 1976 2013.9 C
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6.3930 +1995.4 2012.7 m
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6.3932 +1998.9 2005.4 2000 2003.7 2001.4 2003.1 C
6.3933 +2003.9 2003.1 2005.3 2001.3 2006.9 1999.7 C
6.3934 +2004.5 2003.5 2000 2002.2 1997.6 2005.7 C
6.3935 +1996.5 2005.9 1994.8 2006.1 1995.2 2007.6 C
6.3936 +1995.7 2009.4 1995.2 2011.6 1994.7 2012.9 C
6.3937 +1992 2015.8 1987.8 2015.7 1985.3 2018.7 C
6.3938 +1988.3 2016.3 1992.3 2015.3 1995.4 2012.7 C
6.3939 +[0.18 0.18 0 0.78] vc
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6.3943 +1995.6 2012.4 m
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6.3945 +1995.6 2010 1995.6 2011.2 1995.6 2012.4 C
6.3946 +[0 1 1 0.36] vc
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6.3951 +2017.7 2009.6 m
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6.3953 +2014.2 2010.6 2016 2010.6 2016.5 2011.5 C
6.3954 +2017.2 2010.9 2018.1 2010.8 2017.7 2009.6 C
6.3955 +[0 1 1 0.23] vc
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6.3964 +2013 2007.3 2011.9 2009.2 2012.9 2008.4 C
6.3965 +2014.2 2008.3 2014.6 2007.8 2014.4 2006.4 C
6.3966 +f
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6.3969 +1969 2006.4 m
6.3970 +1966.5 2003.8 1964 2001.2 1961.6 1998.5 C
6.3971 +1964 2001.2 1966.5 2003.8 1969 2006.4 C
6.3972 +[0 1 1 0.36] vc
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6.3975 +n
6.3976 +2012 2005.2 m
6.3977 +2012.2 2004.2 2011.4 2003.3 2010.3 2003.3 C
6.3978 +2009 2003.6 2010 2004.7 2009.6 2004.8 C
6.3979 +2009.3 2005.7 2011.4 2006.7 2012 2005.2 C
6.3980 +[0 1 1 0.23] vc
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6.3984 +1962.8 1995.2 m
6.3985 +1961.7 1994.4 1960.6 1993.7 1959.4 1994 C
6.3986 +1959.5 1994.9 1957.5 1994.1 1956.8 1994.7 C
6.3987 +1955.9 1995.5 1956.7 1997 1955.1 1997.3 C
6.3988 +1956.9 1996.7 1956.8 1994 1959.2 1994.7 C
6.3989 +1961.1 1991 1968.9 2003.2 1962.8 1995.2 C
6.3990 +[0 1 1 0.36] vc
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6.3994 +1954.6 1995.6 m
6.3995 +1955.9 1994.7 1955.1 1989.8 1955.3 1988 C
6.3996 +1954.5 1988.3 1954.9 1986.6 1954.4 1986 C
6.3997 +1955.7 1989.2 1953.9 1991.1 1954.8 1994.2 C
6.3998 +1954.5 1995.9 1953.5 1995.3 1953.9 1997.3 C
6.3999 +1955.3 1998.3 1953.2 1995.5 1954.6 1995.6 C
6.4000 +f
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6.4003 +1992.3 2011 m
6.4004 +1992.5 2006.7 1992 2000.3 1991.8 1997.6 C
6.4005 +1992.2 1997.9 1992 1998.5 1992 1999 C
6.4006 +1992.1 1994.7 1991.9 1990.2 1992.3 1986 C
6.4007 +1991.4 1984.6 1991 1986.1 1990.6 1985.6 C
6.4008 +1989.7 1986 1990.3 1987.2 1990.1 1988 C
6.4009 +1990.7 1987.4 1990.4 1988.5 1990.8 1988.7 C
6.4010 +1991.3 1997.1 1988.9 2000.6 1991.1 2007.9 C
6.4011 +1991 2009.1 1989.8 2009.9 1988.4 2008.8 C
6.4012 +1985.7 2007.2 1986.8 2004.5 1984.1 2004 C
6.4013 +1984.2 2002.7 1981.9 2003.7 1982.4 2001.4 C
6.4014 +1981.2 2001.5 1980.5 2000.8 1980 2000 C
6.4015 +1980 1999.8 1980 1998.9 1980 1999.5 C
6.4016 +1979.3 1999.5 1979.7 1997.2 1977.9 1998 C
6.4017 +1977.2 1997.3 1976.6 1996.7 1977.2 1997.8 C
6.4018 +1979 1998.7 1979.3 2000.8 1981.5 2001.6 C
6.4019 +1982.2 2002.8 1983 2004.3 1984.4 2004.3 C
6.4020 +1985 2005.8 1986.2 2007.5 1987.7 2009.1 C
6.4021 +1989 2010 1991.3 2010.2 1990.8 2012.2 C
6.4022 +1991.2 2011.4 1992.2 2011.8 1992.3 2011 C
6.4023 +[0 1 1 0.23] vc
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6.4025 +S
6.4026 +n
6.4027 +1991.8 1995.6 m
6.4028 +1991.8 1994.3 1991.8 1992.9 1991.8 1991.6 C
6.4029 +1991.8 1992.9 1991.8 1994.3 1991.8 1995.6 C
6.4030 +[0 1 1 0.36] vc
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6.4032 +S
6.4033 +n
6.4034 +1959.2 1994.2 m
6.4035 +1958.8 1993.3 1960.7 1993.9 1961.1 1993.7 C
6.4036 +1961.5 1993.9 1961.2 1994.4 1961.8 1994.2 C
6.4037 +1960.9 1994 1960.8 1992.9 1959.9 1992.5 C
6.4038 +1959.6 1993.5 1958.3 1993.5 1958.2 1994.2 C
6.4039 +1958.1 1994.1 1958 1994 1958 1994 C
6.4040 +1957.2 1994.9 1958 1993.4 1956.8 1993 C
6.4041 +1955.6 1992.5 1956 1991 1956.3 1989.9 C
6.4042 +1956.5 1989.8 1956.6 1990 1956.8 1990.1 C
6.4043 +1957.1 1989 1956 1989.1 1955.8 1988.2 C
6.4044 +1955.1 1990.4 1956.2 1995 1954.8 1995.9 C
6.4045 +1954.1 1995.5 1954.5 1996.5 1954.4 1997.1 C
6.4046 +1955 1996.8 1954.8 1997.4 1955.6 1996.8 C
6.4047 +1956 1996 1956.3 1993.2 1958.7 1994.2 C
6.4048 +1958.9 1994.2 1959.7 1994.2 1959.2 1994.2 C
6.4049 +[0 1 1 0.23] vc
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6.4053 +1958.2 1994 m
6.4054 +1958.4 1993.5 1959.7 1993.1 1959.9 1992 C
6.4055 +1959.7 1992.5 1959.3 1992 1959.4 1991.8 C
6.4056 +1959.4 1991.6 1959.4 1990.8 1959.4 1991.3 C
6.4057 +1959.2 1991.8 1958.8 1991.3 1958.9 1991.1 C
6.4058 +1958.9 1990.5 1958 1990.3 1957.5 1989.9 C
6.4059 +1956.8 1989.5 1956.9 1991 1956.3 1990.1 C
6.4060 +1956.7 1991 1955.4 1992.1 1956.5 1992.3 C
6.4061 +1956.8 1993.5 1958.3 1992.9 1957.2 1994 C
6.4062 +1957.8 1994.3 1958.1 1992.4 1958.2 1994 C
6.4063 +[0 0.5 0.5 0.2] vc
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6.4067 +vmrs
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6.4069 +1956.1 1982.7 1954.1 1982.5 1953.9 1982.9 C
6.4070 +1953.9 1983.7 1953.7 1984.7 1954.1 1985.3 C
6.4071 +1954.4 1984.2 1953.6 1983.6 1954.4 1982.7 C
6.4072 +[0 1 1 0.36] vc
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6.4074 +0.4 w
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6.4079 +1989.6 1982.9 m
6.4080 +1989.1 1982.7 1988.6 1982.3 1988 1982.4 C
6.4081 +1987.2 1982.8 1987.4 1984.8 1987.7 1985.1 C
6.4082 +1988.9 1985.6 1990.7 1984.4 1989.6 1982.9 C
6.4083 +[0 1 1 0.23] vc
6.4084 +f
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6.4086 +n
6.4087 +1987 1980.3 m
6.4088 +1986.2 1980 1986 1979.1 1985.1 1979.8 C
6.4089 +1983.5 1981.4 1985.3 1981.4 1985.8 1982.2 C
6.4090 +1986.5 1981.7 1987.4 1981.5 1987 1980.3 C
6.4091 +f
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6.4093 +n
6.4094 +1983.6 1977.2 m
6.4095 +1982.7 1977.5 1981.4 1976.3 1981.2 1977.4 C
6.4096 +1982.3 1978 1981.2 1979.9 1982.2 1979.1 C
6.4097 +1983.5 1979 1983.9 1978.5 1983.6 1977.2 C
6.4098 +f
6.4099 +S
6.4100 +n
6.4101 +1981.2 1976 m
6.4102 +1981.5 1974.9 1980.6 1974 1979.6 1974 C
6.4103 +1978.3 1974.3 1979.3 1975.4 1978.8 1975.5 C
6.4104 +1978.6 1976.4 1980.7 1977.4 1981.2 1976 C
6.4105 +f
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6.4107 +n
6.4108 +1972.1 2082.3 m
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6.4110 +1971.1 2072.9 1971.3 2064.6 1970.9 2058.3 C
6.4111 +1970.3 2058.5 1970.1 2057.7 1969.7 2058.5 C
6.4112 +1970.6 2058.5 1969.7 2059 1970.2 2059.2 C
6.4113 +1970.2 2065.4 1970.2 2072.4 1970.2 2077.7 C
6.4114 +1971.1 2078.9 1970.6 2078.9 1970.4 2079.9 C
6.4115 +1969.2 2080.2 1968.2 2080.4 1967.3 2079.6 C
6.4116 +1966.8 2077.8 1963.4 2076.3 1963.5 2075.1 C
6.4117 +1961.5 2075.5 1962 2071.5 1959.6 2072 C
6.4118 +1959.2 2070 1956.5 2069.3 1955.8 2067.6 C
6.4119 +1956 2068.4 1955.3 2069.7 1956.5 2069.8 C
6.4120 +1958.6 2068.9 1958.1 2073.5 1960.1 2072.4 C
6.4121 +1960.7 2075.9 1964.7 2074.6 1964.2 2078 C
6.4122 +1967.2 2078.6 1967.9 2081.6 1970.7 2080.6 C
6.4123 +1970.3 2081.1 1971.5 2081.2 1971.9 2082.3 C
6.4124 +1967.2 2084.3 1962.9 2087.1 1958.2 2089 C
6.4125 +1962.9 2087 1967.4 2084.4 1972.1 2082.3 C
6.4126 +[0 0.2 1 0] vc
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6.4128 +S
6.4129 +n
6.4130 +1971.9 2080.1 m
6.4131 +1971.9 2075.1 1971.9 2070 1971.9 2065 C
6.4132 +1971.9 2070 1971.9 2075.1 1971.9 2080.1 C
6.4133 +[0 1 1 0.23] vc
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6.4136 +n
6.4137 +2010.8 2050.6 m
6.4138 +2013.2 2049 2010.5 2050.1 2010.5 2051.3 C
6.4139 +2010.5 2057.7 2010.5 2064.1 2010.5 2070.5 C
6.4140 +2008.7 2072.4 2006 2073.3 2003.6 2074.4 C
6.4141 +2016.4 2073.7 2008 2058.4 2010.8 2050.6 C
6.4142 +[0.4 0.4 0 0] vc
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6.4146 +2006.4 2066.9 m
6.4147 +2006.4 2061.9 2006.4 2056.8 2006.4 2051.8 C
6.4148 +2006.4 2056.8 2006.4 2061.9 2006.4 2066.9 C
6.4149 +[0 1 1 0.23] vc
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6.4153 +1971.9 2060.7 m
6.4154 +1972.2 2060.3 1971.4 2068.2 1972.4 2061.9 C
6.4155 +1971.8 2061.6 1972.4 2060.9 1971.9 2060.7 C
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6.4159 +vmrs
6.4160 +1986.5 2055.2 m
6.4161 +1987.5 2054.3 1986.3 2053.4 1986 2052.8 C
6.4162 +1983.8 2052.7 1983.6 2050.1 1981.7 2049.6 C
6.4163 +1981.2 2048.7 1980.8 2047 1980.3 2046.8 C
6.4164 +1978.5 2047 1978 2044.6 1976.7 2043.9 C
6.4165 +1974 2044.4 1972 2046.6 1969.2 2047 C
6.4166 +1969 2047.2 1968.8 2047.5 1968.5 2047.7 C
6.4167 +1970.6 2049.6 1973.1 2051.3 1974.3 2054.2 C
6.4168 +1975.7 2054.5 1977 2055.2 1976.4 2057.1 C
6.4169 +1976.7 2058 1975.5 2058.5 1976 2059.5 C
6.4170 +1979.2 2058 1983 2056.6 1986.5 2055.2 C
6.4171 +[0 0.5 0.5 0.2] vc
6.4172 +f
6.4173 +0.4 w
6.4174 +2 J
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6.4219 +1963 2027.6 1960.4 2026.8 1959.6 2025.2 C
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6.4225 +1971 2041.8 1966.7 2044.6 1962 2046.5 C
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6.4264 +2007 2030.2 2007.6 2030.7 2008.4 2031.4 C
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6.4313 +2002.6 2022.9 2002.7 2023.1 2002.8 2023.2 C
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6.4505 +1977.9 2045 1977 2048.4 1979.3 2047.5 C
6.4506 +1979.9 2047.5 1980.8 2048.6 1979.8 2049.2 C
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6.4510 +1977.3 2045.9 1977.2 2043.3 1975.2 2044.6 C
6.4511 +1974.7 2045.3 1973.6 2045 1973.3 2045.8 C
6.4512 +1975 2046.3 1975.8 2049.8 1978.1 2049.4 C
6.4513 +1978.4 2050.9 1978.7 2048.5 1977.9 2049.2 C
6.4514 +1977.7 2048.7 1977.2 2047.8 1977.4 2047.7 C
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6.4547 +2012 2034.5 m
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6.4549 +2009.4 2031 2010.3 2031.3 2011.2 2031.6 C
6.4550 +2012.5 2031.8 2011.6 2035.2 2013.9 2034.3 C
6.4551 +2014.4 2034.3 2015.4 2035.4 2014.4 2036 C
6.4552 +2012.7 2037.2 2015.3 2036.3 2014.8 2036.2 C
6.4553 +2015.9 2036.6 2014.8 2035.2 2014.8 2034.8 C
6.4554 +2014.4 2034.3 2013.6 2033.4 2012.9 2033.3 C
6.4555 +2011.5 2031 2009.3 2029.4 2007.4 2028 C
6.4556 +2007.5 2026.5 2007.3 2027.9 2007.2 2028.3 C
6.4557 +2007.9 2028.8 2008.7 2029.1 2009.3 2030 C
6.4558 +2009.6 2030.7 2009 2031.9 2008.4 2031.6 C
6.4559 +2006.7 2031 2007.7 2028 2005 2028.8 C
6.4560 +2004.8 2028.6 2004.3 2028.2 2003.8 2028.3 C
6.4561 +2006.6 2030.4 2008.9 2033.7 2011.2 2036.2 C
6.4562 +2011.8 2036.4 2012.9 2035.8 2012.9 2036.7 C
6.4563 +2012.7 2036.1 2011.8 2035 2012 2034.5 C
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6.4570 +1978.7 2001.8 1979.6 2002.1 1980.5 2002.4 C
6.4571 +1981.8 2002.5 1980.9 2005.9 1983.2 2005 C
6.4572 +1983.7 2005.1 1984.7 2006.1 1983.6 2006.7 C
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6.4574 +1985.2 2007.3 1984.1 2006 1984.1 2005.5 C
6.4575 +1983.6 2005 1982.9 2004.1 1982.2 2004 C
6.4576 +1980.8 2001.7 1978.6 2000.1 1976.7 1998.8 C
6.4577 +1976.7 1997.2 1976.6 1998.6 1976.4 1999 C
6.4578 +1977.2 1999.5 1978 1999.8 1978.6 2000.7 C
6.4579 +1978.8 2001.5 1978.3 2002.7 1977.6 2002.4 C
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6.4581 +1974.1 1999.3 1973.6 1998.9 1973.1 1999 C
6.4582 +1975.8 2001.2 1978.2 2004.4 1980.5 2006.9 C
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6.4591 +1960.9 1979.9 1957.1 1981.8 1953.9 1982.7 C
6.4592 +1958.4 1981.1 1962.6 1978.8 1966.8 1976.4 C
6.4593 +[0.18 0.18 0 0.78] vc
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6.4604 +1948.1 2093.6 m
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6.4622 +1933.5 2078 1933.2 2079 1933.7 2079.4 C
6.4623 +1935 2080.4 1936.2 2081.3 1937.1 2082.8 C
6.4624 +1936.7 2080.7 1933.7 2080.7 1933.5 2078.4 C
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6.4628 +1982.9 2080.6 m
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6.4634 +1982.7 2080.4 m
6.4635 +1981.9 2079.6 1981.1 2078.7 1980.3 2078 C
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6.4639 +n
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6.4641 +1977.9 2075.3 1979.1 2076.4 1979.8 2077.5 C
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6.5075 +1985.6 2020.8 1984.1 2019.4 1984.6 2021.1 C
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6.5085 +1902.5 2019.8 1902.6 2018.3 1903.5 2018.9 C
6.5086 +1903.7 2021.8 1905.6 2016.8 1905.6 2020.6 C
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6.5088 +1905.8 2022.7 1906.7 2020.4 1906.4 2019.9 C
6.5089 +1906.4 2018.5 1908.2 2017.8 1906.8 2016.5 C
6.5090 +1906.9 2015.7 1907.7 2017.1 1907.1 2016.3 C
6.5091 +1908.5 2015.8 1910.3 2015.1 1911.6 2016 C
6.5092 +1912.2 2016.2 1911.9 2018 1911.6 2018 C
6.5093 +1914.5 2017.1 1910.4 2013.6 1913.3 2013.4 C
6.5094 +1912.4 2011.3 1910.5 2011.8 1909.5 2010 C
6.5095 +1910 2010.5 1909 2010.8 1908.8 2011.2 C
6.5096 +1907.5 2009.9 1906.1 2011.7 1904.9 2011.5 C
6.5097 +1904.7 2010.9 1904.3 2010.5 1904.4 2009.8 C
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6.5100 +1908.9 2008.5 1909.7 2008.1 1909 2007.2 C
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6.5102 +1903.9 2007.3 1905.2 2008.5 1904.2 2008.4 C
6.5103 +1904.6 2009.9 1902.8 2010.3 1902.3 2010.5 C
6.5104 +1901.5 2009.9 1900.4 2010 1899.4 2010 C
6.5105 +1898.6 2011.2 1898.2 2013.4 1896.5 2013.4 C
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6.5107 +1893.1 2013.9 1892.9 2015.5 1891.5 2016 C
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6.5111 +1892.6 2018.9 1891.1 2019.8 1890.5 2020.6 C
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6.6098 +1911.6 2033.5 1911.6 2038.9 1911.6 2042.9 C
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7.1 Binary file doc-src/gfx/isabelle_sledgehammer.pdf has changed
8.1 --- a/doc-src/manual.bib Fri May 14 22:30:24 2010 +0200
8.2 +++ b/doc-src/manual.bib Fri May 14 22:43:00 2010 +0200
8.3 @@ -228,13 +228,19 @@
8.4 title="Introduction to Functional Programming using Haskell",
8.5 publisher=PH,year=1998}
8.6
8.7 -@inproceedings{blanchette-nipkow-2009,
8.8 - title = "Nitpick: A Counterexample Generator for Higher-Order Logic Based on a Relational Model Finder (Extended Abstract)",
8.9 +@inproceedings{blanchette-nipkow-2010,
8.10 + title = "Nitpick: A Counterexample Generator for Higher-Order Logic Based on a Relational Model Finder",
8.11 author = "Jasmin Christian Blanchette and Tobias Nipkow",
8.12 - booktitle = "{TAP} 2009: Short Papers",
8.13 - editor = "Catherine Dubois",
8.14 - publisher = "ETH Technical Report 630",
8.15 - year = 2009}
8.16 + crossref = {itp2010}}
8.17 +
8.18 +@inproceedings{boehme-nipkow-2010,
8.19 + author={Sascha B\"ohme and Tobias Nipkow},
8.20 + title={Sledgehammer: Judgement Day},
8.21 + booktitle={Automated Reasoning: IJCAR 2010},
8.22 + editor={J. Giesl and R. H\"ahnle},
8.23 + publisher=Springer,
8.24 + series=LNCS,
8.25 + year=2010}
8.26
8.27 @Article{boyer86,
8.28 author = {Robert Boyer and Ewing Lusk and William McCune and Ross
8.29 @@ -620,6 +626,11 @@
8.30 pages = {203--220},
8.31 crossref = {tphols96}}
8.32
8.33 +@misc{metis,
8.34 + author = "Joe Hurd",
8.35 + title = "Metis Theorem Prover",
8.36 + note = "\url{http://www.gilith.com/software/metis/}"}
8.37 +
8.38 %J
8.39
8.40 @article{haskell-revised-report,
8.41 @@ -1256,6 +1267,15 @@
8.42 publisher = {Addison-Wesley},
8.43 year = 1990}
8.44
8.45 +@article{riazanov-voronkov-2002,
8.46 + author = "Alexander Riazanov and Andrei Voronkov",
8.47 + title = "The Design and Implementation of {Vampire}",
8.48 + journal = "Journal of AI Communications",
8.49 + year = 2002,
8.50 + volume = 15,
8.51 + number ="2/3",
8.52 + pages = "91--110"}
8.53 +
8.54 @book{Rosen-DMA,author={Kenneth H. Rosen},
8.55 title={Discrete Mathematics and Its Applications},
8.56 publisher={McGraw-Hill},year=1998}
8.57 @@ -1287,6 +1307,15 @@
8.58 number = 4
8.59 }
8.60
8.61 +@article{schulz-2002,
8.62 + author = "Stephan Schulz",
8.63 + title = "E---A Brainiac Theorem Prover",
8.64 + journal = "Journal of AI Communications",
8.65 + year = 2002,
8.66 + volume = 15,
8.67 + number ="2/3",
8.68 + pages = "111--126"}
8.69 +
8.70 @misc{sledgehammer-2009,
8.71 key = "Sledgehammer",
8.72 title = "The {S}ledgehammer: Let Automatic Theorem Provers
8.73 @@ -1305,6 +1334,17 @@
8.74 year = 1972,
8.75 publisher = {Dover}}
8.76
8.77 +@inproceedings{sutcliffe-2000,
8.78 + author = "Geoff Sutcliffe",
8.79 + title = "System Description: {SystemOnTPTP}",
8.80 + editor = "J. G. Carbonell and J. Siekmann",
8.81 + booktitle = {Automated Deduction --- {CADE}-17 International Conference},
8.82 + series = "Lecture Notes in Artificial Intelligence",
8.83 + volume = {1831},
8.84 + pages = "406--410",
8.85 + year = 2000,
8.86 + publisher = Springer}
8.87 +
8.88 @InCollection{szasz93,
8.89 author = {Nora Szasz},
8.90 title = {A Machine Checked Proof that {Ackermann's} Function is not
8.91 @@ -1411,6 +1451,11 @@
8.92 note = {\url{http://x-symbol.sourceforge.net}}
8.93 }
8.94
8.95 +@misc{weidenbach-et-al-2009,
8.96 + author = "Christoph Weidenbach and Dilyana Dimova and Arnaud Fietzke and Rohit Kumar and Martin Suda and Patrick Wischnewski",
8.97 + title = "{SPASS} Version 3.5",
8.98 + note = {\url{http://www.spass-prover.org/publications/spass.pdf}}}
8.99 +
8.100 @manual{isabelle-sys,
8.101 author = {Markus Wenzel and Stefan Berghofer},
8.102 title = {The {Isabelle} System Manual},
8.103 @@ -1750,6 +1795,14 @@
8.104 % editor =
8.105 % volume = 4732,
8.106
8.107 +@Proceedings{itp2010,
8.108 + title = {Interactive Theorem Proving: {ITP}-10},
8.109 + booktitle = {Interactive Theorem Proving: {ITP}-10},
8.110 + editor = "Matt Kaufmann and Lawrence Paulson",
8.111 + publisher = Springer,
8.112 + series = LNCS,
8.113 + year = 2010}
8.114 +
8.115 @unpublished{classes_modules,
8.116 title = {{ML} Modules and {Haskell} Type Classes: A Constructive Comparison},
8.117 author = {Stefan Wehr et. al.}