Trying to load file: main.koat Initial Control flow graph problem: Start location: evalsipma91start 0: evalsipma91start -> evalsipma91entryin : [], cost: 1 1: evalsipma91entryin -> evalsipma91returnin : [ A>=101 ], cost: 1 2: evalsipma91entryin -> evalsipma91bb3in : A'=1, B'=A, [ 100>=A ], cost: 1 16: evalsipma91returnin -> evalsipma91stop : [], cost: 1 3: evalsipma91bb3in -> evalsipma91bb2in : [ 100>=B ], cost: 1 4: evalsipma91bb3in -> evalsipma91bb11in : [ B>=101 ], cost: 1 5: evalsipma91bb2in -> evalsipma91bb3in : A'=1+A, B'=11+B, [], cost: 1 7: evalsipma91bb11in -> evalsipma91returnin : [ 1>=A ], cost: 1 6: evalsipma91bb11in -> evalsipma91bb5in : [ A>=2 ], cost: 1 11: evalsipma91bb5in -> evalsipma91bb11in : A'=-1+A, B'=-10+B, [ B>=111 && A==2 ], cost: 1 8: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 110>=B ], cost: 1 9: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 1>=A ], cost: 1 10: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ A>=3 ], cost: 1 12: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=1+C, [ C>=101 ], cost: 1 13: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=11+C, [ C>=101 && 100>=C ], cost: 1 14: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=1+C, [ 100>=C && C>=101 ], cost: 1 15: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=11+C, [ 100>=C ], cost: 1 Simplified the transitions: Start location: evalsipma91start 0: evalsipma91start -> evalsipma91entryin : [], cost: 1 2: evalsipma91entryin -> evalsipma91bb3in : A'=1, B'=A, [ 100>=A ], cost: 1 3: evalsipma91bb3in -> evalsipma91bb2in : [ 100>=B ], cost: 1 4: evalsipma91bb3in -> evalsipma91bb11in : [ B>=101 ], cost: 1 5: evalsipma91bb2in -> evalsipma91bb3in : A'=1+A, B'=11+B, [], cost: 1 6: evalsipma91bb11in -> evalsipma91bb5in : [ A>=2 ], cost: 1 11: evalsipma91bb5in -> evalsipma91bb11in : A'=-1+A, B'=-10+B, [ B>=111 && A==2 ], cost: 1 8: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 110>=B ], cost: 1 9: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 1>=A ], cost: 1 10: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ A>=3 ], cost: 1 12: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=1+C, [ C>=101 ], cost: 1 13: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=11+C, [ C>=101 && 100>=C ], cost: 1 14: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=1+C, [ 100>=C && C>=101 ], cost: 1 15: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=11+C, [ 100>=C ], cost: 1 Applied simple chaining: Start location: evalsipma91start 0: evalsipma91start -> evalsipma91bb3in : A'=1, B'=A, [ 100>=A ], cost: 2 3: evalsipma91bb3in -> evalsipma91bb3in : A'=1+A, B'=11+B, [ 100>=B ], cost: 2 4: evalsipma91bb3in -> evalsipma91bb11in : [ B>=101 ], cost: 1 6: evalsipma91bb11in -> evalsipma91bb5in : [ A>=2 ], cost: 1 11: evalsipma91bb5in -> evalsipma91bb11in : A'=-1+A, B'=-10+B, [ B>=111 && A==2 ], cost: 1 8: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 110>=B ], cost: 1 9: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 1>=A ], cost: 1 10: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ A>=3 ], cost: 1 12: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=1+C, [ C>=101 ], cost: 1 13: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=11+C, [ C>=101 && 100>=C ], cost: 1 14: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=1+C, [ 100>=C && C>=101 ], cost: 1 15: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=11+C, [ 100>=C ], cost: 1 Eliminating 1 self-loops for location evalsipma91bb3in Self-Loop 3 has the metering function: meter, resulting in the new transition 17. Removing the self-loops: 3. Removed all Self-loops using metering functions (where possible): Start location: evalsipma91start 0: evalsipma91start -> evalsipma91bb3in : A'=1, B'=A, [ 100>=A ], cost: 2 17: evalsipma91bb3in -> [9] : A'=meter+A, B'=11*meter+B, [ 100>=B && 11*meter==100-B ], cost: 2*meter 6: evalsipma91bb11in -> evalsipma91bb5in : [ A>=2 ], cost: 1 11: evalsipma91bb5in -> evalsipma91bb11in : A'=-1+A, B'=-10+B, [ B>=111 && A==2 ], cost: 1 8: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 110>=B ], cost: 1 9: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 1>=A ], cost: 1 10: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ A>=3 ], cost: 1 12: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=1+C, [ C>=101 ], cost: 1 13: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=11+C, [ C>=101 && 100>=C ], cost: 1 14: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=1+C, [ 100>=C && C>=101 ], cost: 1 15: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=11+C, [ 100>=C ], cost: 1 4: [9] -> evalsipma91bb11in : [ B>=101 ], cost: 1 Applied simple chaining: Start location: evalsipma91start 0: evalsipma91start -> [9] : A'=1+meter, B'=11*meter+A, [ 100>=A && 100>=A && 11*meter==100-A ], cost: 2+2*meter 6: evalsipma91bb11in -> evalsipma91bb5in : [ A>=2 ], cost: 1 11: evalsipma91bb5in -> evalsipma91bb11in : A'=-1+A, B'=-10+B, [ B>=111 && A==2 ], cost: 1 8: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 110>=B ], cost: 1 9: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ 1>=A ], cost: 1 10: evalsipma91bb5in -> evalsipma91bb8in : C'=-10+B, D'=-1+A, [ A>=3 ], cost: 1 12: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=1+C, [ C>=101 ], cost: 1 13: evalsipma91bb8in -> evalsipma91bb11in : A'=D, B'=11+C, [ C>=101 && 100>=C ], cost: 1 14: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=1+C, [ 100>=C && C>=101 ], cost: 1 15: evalsipma91bb8in -> evalsipma91bb11in : A'=1+D, B'=11+C, [ 100>=C ], cost: 1 4: [9] -> evalsipma91bb11in : [ B>=101 ], cost: 1 Applied chaining over branches and pruning: Start location: evalsipma91start 18: evalsipma91start -> [10] : A'=1+meter, B'=11*meter+A, [ 100>=A && 100>=A && 11*meter==100-A ], cost: 2+2*meter Final control flow graph problem, now checking costs for infinitely many models: Start location: evalsipma91start 18: evalsipma91start -> [10] : A'=1+meter, B'=11*meter+A, [ 100>=A && 100>=A && 11*meter==100-A ], cost: 2+2*meter Computing complexity for remaining 1 transitions. Found configuration with infinitely models for cost: 2+2*meter and guard: 100>=A && 100>=A && 11*meter==100-A: meter: Pos, A: Both Found new complexity n^1, because: Found infinity configuration. The final runtime is determined by this resulting transition: Final Guard: 100>=A && 100>=A && 11*meter==100-A Final Cost: 2+2*meter Obtained the following complexity w.r.t. the length of the input n: Complexity class: n^1 Complexity value: 1 WORST_CASE(Omega(n^1),?)