add an Isar proof found with Sledgehammer that involves a Skolem constant (internally)
# -*- shell-script -*- :mode=shellscript:
#
# Author: Makarius
#
# timestop - report timing based on environment (cf. timestart.bash)
#
TIMES_REPORT=""
function show_times ()
{
local TIMES_START="$TIMES_RESULT"
get_times
local TIMES_STOP="$TIMES_RESULT"
local TIME1
local TIME2
local KIND
for KIND in 1 2
do
local START=$(echo "$TIMES_START" | cut -d " " -f $KIND)
local STOP=$(echo "$TIMES_STOP" | cut -d " " -f $KIND)
local TIME=$(( $STOP - $START ))
eval "TIME${KIND}=$TIME"
local SECS=$(( $TIME % 60 ))
[ $SECS -lt 10 ] && SECS="0$SECS"
local MINUTES=$(( ($TIME / 60) % 60 ))
[ $MINUTES -lt 10 ] && MINUTES="0$MINUTES"
local HOURS=$(( $TIME / 3600 ))
local KIND_NAME
[ "$KIND" = 1 ] && KIND_NAME="elapsed time"
[ "$KIND" = 2 ] && KIND_NAME="cpu time"
local RESULT="${HOURS}:${MINUTES}:${SECS} ${KIND_NAME}"
if [ -z "$TIMES_REPORT" ]; then
TIMES_REPORT="$RESULT"
else
TIMES_REPORT="$TIMES_REPORT, $RESULT"
fi
done
if let "$TIME1 >= 5 && $TIME2 >= 5"
then
local FACTOR=$(( $TIME2 * 100 / $TIME1 ))
local FACTOR1=$(( $FACTOR / 100 ))
local FACTOR2=$(( $FACTOR % 100 ))
if let "$FACTOR2 < 10"; then FACTOR2="0$FACTOR2"; fi
TIMES_REPORT="$TIMES_REPORT, factor ${FACTOR1}.${FACTOR2}"
fi
}
show_times # sets TIMES_REPORT
unset TIMES_RESULT get_times show_times