// RESULT: 0.0
R{"a"}=? [ s>=0 ];

// RESULT: 0.0
R{"a"}=? [ true ];

// RESULT: 0.0
R{"a"}=? [ !false ];

// RESULT: 0.0
R{"a"}=? [ s>0 | s=0 ];

// RESULT: 0.0
R{"a"}=? [ s=0 ];

// RESULT: 0.0
R{"a"}=? [ F s=0 ];

// RESULT: 5.0
R{"a"}=? [ F s=1 ];

// RESULT: 17.0
R{"a"}=? [ F s=2 ];

// RESULT: 28.0
R{"a"}=? [ F s=3 ];

// RESULT: 5.0
R{"a"}=? [ X s>=0 ];

// RESULT: 5.0
R{"a"}=? [ X true ];

// RESULT: Infinity
R{"a"}=? [ ! (X true) ];

// RESULT: 5.0
R{"a"}=? [ ! (X false) ];

// RESULT: 17.0
R{"a"}=? [ X X s>=0 ];

// RESULT: 17.0
R{"a"}=? [ X X true ];

// RESULT: 28.0
R{"a"}=? [ X X X s>=0 ];

// RESULT: 28.0
R{"a"}=? [ X X X true ];

// RESULT: 28.0
R{"a"}=? [ X X X (true ? true : s>=0) ];

// RESULT: 28.0
R{"a"}=? [ X X X (false ? true : s>=0) ];

// RESULT: Infinity
R{"a"}=? [ X X X false ];


// nesting X and U...

// RESULT: 0.0
R{"a"}=? [ (X X true) U s=0 ];

// RESULT: 17.0
R{"a"}=? [ (X X true) U s=1 ];

// RESULT: 28.0
R{"a"}=? [ (X X true) U s=2 ];

// RESULT: 28.0
R{"a"}=? [ (X X true) U s=3 ];

// RESULT: 58.0
R{"b"}=? [ (X X true) U s=3 ];

// RESULT: 0.0
R{"a"}=? [ s=0 | (X true) ];


// some more combinations...

// RESULT: 12.0
filter(state, R{"a"}=? [ s=0 | (X true) ], s=1);

// RESULT: 11.0
filter(state, R{"a"}=? [ s=0 | (X true) ], s=2);

// RESULT: 0.0
filter(state, R{"a"}=? [ s=0 | (X true) ], s=3);

// RESULT: 5.0
filter(state, R{"a"}=? [ (X s=1) | (X s=2) ], s=0);

// RESULT: 12.0
filter(state, R{"a"}=? [ (X s=1) | (X s=2) ], s=1);

// RESULT: Infinity
filter(state, R{"a"}=? [ (X s=1) | (X s=2) ], s=2);


// nesting F and X

// RESULT: 5.0
R{"a"}=? [ F (X s=1) ];

// RESULT: 17.0
R{"a"}=? [ F (X s=2) ];

// RESULT: 28.0
R{"a"}=? [ F (X s=3) ];

// RESULT: 5.0
R{"a"}=? [ F (s=0 & (X s=1)) ];

// RESULT: 17.0
R{"a"}=? [ F (s=1 & (X s=2)) ];

// RESULT: 28.0
R{"a"}=? [ F (s=2 & (X s=3)) ];



// the same as above, just using only state rewards

// RESULT: 0.0
R{"a_state"}=? [ s>=0 ];

// RESULT: 0.0
R{"a_state"}=? [ true ];

// RESULT: 0.0
R{"a_state"}=? [ !false ];

// RESULT: 0.0
R{"a_state"}=? [ s>0 | s=0 ];

// RESULT: 0.0
R{"a_state"}=? [ s=0 ];

// RESULT: 0.0
R{"a_state"}=? [ F s=0 ];

// RESULT: 5.0
R{"a_state"}=? [ F s=1 ];

// RESULT: 17.0
R{"a_state"}=? [ F s=2 ];

// RESULT: 28.0
R{"a_state"}=? [ F s=3 ];

// RESULT: 5.0
R{"a_state"}=? [ X s>=0 ];

// RESULT: 5.0
R{"a_state"}=? [ X true ];

// RESULT: Infinity
R{"a_state"}=? [ ! (X true) ];

// RESULT: 5.0
R{"a_state"}=? [ ! (X false) ];

// RESULT: 17.0
R{"a_state"}=? [ X X s>=0 ];

// RESULT: 17.0
R{"a_state"}=? [ X X true ];

// RESULT: 28.0
R{"a_state"}=? [ X X X s>=0 ];

// RESULT: 28.0
R{"a_state"}=? [ X X X true ];

// RESULT: 28.0
R{"a_state"}=? [ X X X (true ? true : s>=0) ];

// RESULT: 28.0
R{"a_state"}=? [ X X X (false ? true : s>=0) ];

// RESULT: Infinity
R{"a_state"}=? [ X X X false ];

// nesting X and U...

// RESULT: 0.0
R{"a_state"}=? [ (X X true) U s=0 ];

// RESULT: 17.0
R{"a_state"}=? [ (X X true) U s=1 ];

// RESULT: 28.0
R{"a_state"}=? [ (X X true) U s=2 ];

// RESULT: 28.0
R{"a_state"}=? [ (X X true) U s=3 ];

// RESULT: 58.0
R{"b_state"}=? [ (X X true) U s=3 ];


// nesting X and U...

// RESULT: 0.0
R{"a_state"}=? [ (X X true) U s=0 ];

// RESULT: 17.0
R{"a_state"}=? [ (X X true) U s=1 ];

// RESULT: 28.0
R{"a_state"}=? [ (X X true) U s=2 ];

// RESULT: 28.0
R{"a_state"}=? [ (X X true) U s=3 ];

// RESULT: 58.0
R{"b_state"}=? [ (X X true) U s=3 ];

// RESULT: 0.0
R{"a_state"}=? [ s=0 | (X true) ];


// some more combinations...

// RESULT: 12.0
filter(state, R{"a_state"}=? [ s=0 | (X true) ], s=1);

// RESULT: 11.0
filter(state, R{"a_state"}=? [ s=0 | (X true) ], s=2);

// RESULT: 0.0
filter(state, R{"a_state"}=? [ s=0 | (X true) ], s=3);

// RESULT: 5.0
filter(state, R{"a_state"}=? [ (X s=1) | (X s=2) ], s=0);

// RESULT: 12.0
filter(state, R{"a_state"}=? [ (X s=1) | (X s=2) ], s=1);

// RESULT: Infinity
filter(state, R{"a_state"}=? [ (X s=1) | (X s=2) ], s=2);


// nesting F and X

// RESULT: 5.0
R{"a_state"}=? [ F (X s=1) ];

// RESULT: 17.0
R{"a_state"}=? [ F (X s=2) ];

// RESULT: 28.0
R{"a_state"}=? [ F (X s=3) ];

// RESULT: 5.0
R{"a_state"}=? [ F (s=0 & (X s=1)) ];

// RESULT: 17.0
R{"a_state"}=? [ F (s=1 & (X s=2)) ];

// RESULT: 28.0
R{"a_state"}=? [ F (s=2 & (X s=3)) ];