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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Exercise 05. Conditional literals.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **1**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c\n",
      "SATISFIABLE\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..3).\n",
    "b(1..3).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **2**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SATISFIABLE\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "a(1).\n",
    "b(1..2).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..3).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **3**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SATISFIABLE\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "-:3:6-10: info: atom does not occur in any rule head:\n",
      "  a(X)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "\n",
    "b(1).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "\n",
    "b(1..2).\n",
    "c :- a(X) : b(X).\n",
    "#show c/0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **4**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "d\n",
      "SATISFIABLE\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2).\n",
    "c(1..2).\n",
    "d :- a(X) : b(X), c(X).\n",
    "#show d/0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2).\n",
    "c(1..3).\n",
    "d :- a(X) : b(X), c(X).\n",
    "#show d/0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time we have another exercise for the same example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..3).\n",
    "c(1..3).\n",
    "d :- a(X) : b(X), c(X).\n",
    "#show d/0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **5**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "d(1) d(2)\n",
      "SATISFIABLE\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2).\n",
    "c(1..2).\n",
    "d(X) :- a(X) : b(X);   c(X).\n",
    "#show d/1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2).\n",
    "c(1..3).\n",
    "d(X) :- a(X) : b(X);   c(X).\n",
    "#show d/1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And another exercise for the same example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..3).\n",
    "c(1..3).\n",
    "d(X) :- a(X) : b(X);   c(X).\n",
    "#show d/1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **6**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "d(1) d(2)\n",
      "SATISFIABLE\n"
     ]
    }
   ],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2,1..2).\n",
    "c(1..2).\n",
    "d(X) :- a(Y) : b(X,Y);   c(X).\n",
    "#show d/1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2,1..2). b(2,3).\n",
    "c(1..2).\n",
    "d(X) :- a(Y) : b(X,Y);   c(X).\n",
    "#show d/1."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And again another exercise for the same example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo -V0 0\n",
    "a(1..2).\n",
    "b(1..2,1..2). b(2,3).\n",
    "c(1..2). c(3).\n",
    "d(X) :- a(Y) : b(X,Y);  c(X).\n",
    "#show d/1."
   ]
  }
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