YES

Solver Timeout: 4
Global Timeout: 60
No parsing errors!
Init Location: 0
Transitions:
<l0, l5, true>
<l1, l2, (0 <= (0 + x^0)) /\ (2 <= (0 + y^0)), par{x^0 -> (1 + x^0), y^0 -> (~(2) + y^0)}>
<l2, l1, true>
<l1, l3, (1 <= (0 + x^0)) /\ ((0 + y^0) <= 1) /\ (undef5 = 0), par{x^0 -> undef5, y^0 -> (~(1) + undef5)}>
<l3, l1, true>
<l4, l1, true>
<l5, l4, true>

Fresh variables:
undef5, 

Undef variables:
undef5, 

Abstraction variables:

Exit nodes:

Accepting locations:

Asserts:

Preprocessed LLVMGraph
Init Location: 0
Transitions:
<l0, l1, true>
<l1, l1, (0 <= (0 + x^0)) /\ (2 <= (0 + y^0)), par{x^0 -> (1 + x^0), y^0 -> (~(2) + y^0)}>
<l1, l1, (1 <= (0 + x^0)) /\ ((0 + y^0) <= 1) /\ (undef5 = 0), par{x^0 -> undef5, y^0 -> (~(1) + undef5)}>

Fresh variables:
undef5, 

Undef variables:
undef5, 

Abstraction variables:

Exit nodes:

Accepting locations:

Asserts:

*************************************************************
*******************************************************************************************
***********************       WORKING TRANSITION SYSTEM (DAG)       ***********************
*******************************************************************************************

Init Location: 0
Graph 0:
Transitions:
Variables:

Graph 1:
Transitions:
<l1, l1, 0 <= x^0 /\ 2 <= y^0, {x^0 -> 1 + x^0, y^0 -> -2 + y^0, rest remain the same}>
<l1, l1, 1 <= x^0 /\ y^0 <= 1 /\ undef5 = 0, {x^0 -> undef5, y^0 -> -1 + undef5, rest remain the same}>
Variables:
x^0, y^0

Precedence: 
Graph 0

Graph 1
<l0, l1, true, {all remain the same}>

Map Locations to Subgraph:
( 0 , 0 )
( 1 , 1 )

*******************************************************************************************
********************************    CHECKING ASSERTIONS    ********************************
*******************************************************************************************

Proving termination of subgraph 0
Proving termination of subgraph 1
Checking unfeasibility...
Time used: 0.003716

Checking conditional termination of SCC {l1}...

LOG: CALL solveLinear

LOG: RETURN solveLinear - Elapsed time: 0.001063s

LOG: CALL solveLinear

LOG: RETURN solveLinear - Elapsed time: 0.013346s
Trying to remove transition: <l1, l1, 1 <= x^0 /\ y^0 <= 1 /\ undef5 = 0, {x^0 -> undef5, y^0 -> -1 + undef5, rest remain the same}>
Solving with 1 template(s).

LOG: CALL solveNonLinearGetFirstSolution

LOG: RETURN solveNonLinearGetFirstSolution - Elapsed time: 0.015878s
Time used: 0.015685

LOG: SAT solveNonLinear - Elapsed time: 0.015878s
Cost: 0; Total time: 0.015685
Termination implied by a set of quasi-invariant(s):
Quasi-invariant at l1: y^0 <= 1
Ranking function: x^0
Ranking function and negation of Quasi-Invariant applied
New Graphs: 
Transitions:
<l1, l1, 0 <= x^0 /\ 2 <= y^0, {x^0 -> 1 + x^0, y^0 -> -2 + y^0, rest remain the same}>
Variables:
x^0, y^0
Checking conditional termination of SCC {l1}...

LOG: CALL solveLinear

LOG: RETURN solveLinear - Elapsed time: 0.000690s
Ranking function: -1 + (1 / 2)*y^0
New Graphs: 
Program Terminates