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#!/bin/bash
# Instructions:
# 1. having z3 installed and put under your $PATH
# 2. making sure z3fib.sh is executable, by `chmod +x z3fib.sh`
# 3. running as `./z3fib.sh [length of the fib sequence]`
# 4. having fun :)
if [ -e fib.smt2 ]
then
rm -f fib.smt2
touch fib.smt2
else
touch fib.smt2
fi
if [ "$1" -lt "0" ]; then
echo "Argument must be larger than 0."
exit 1
fi
for i in $(seq 0 $1);
do
echo "(declare-const x$i Int)" >> fib.smt2
done
echo "" >> fib.smt2
echo "(assert" >> fib.smt2
echo " (and" >> fib.smt2
for i in $(seq 0 $1);
do
echo " (>= x$i 0)" >> fib.smt2
done
echo " (= x0 0)" >> fib.smt2
if [ "$1" -ge "1" ]; then
echo " (= x1 1)" >> fib.smt2
fi
if [ "$1" -ge "2" ]; then
for i in $(seq 2 $1);
do
echo " (= x$i (+ x$(($i - 2)) x$(($i - 1))))" >> fib.smt2
done
fi
echo " )" >> fib.smt2
echo ")" >> fib.smt2
echo "" >> fib.smt2
echo "(check-sat)" >> fib.smt2
echo "(get-model)" >> fib.smt2
z3 fib.smt2
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