NO Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=arg1P0, arg2'=arg2P0, (-arg1P0 == 0 /\ 100-arg2P0 == 0), cost: 1 1: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1P1, arg2'=arg2P1, (-1+arg1-arg1P1 == 0 /\ 1-arg2P1+arg2 == 0 /\ -52+arg2 < 0 /\ -arg1+arg2 > 0), cost: 1 2: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1P2, arg2'=arg2P2, (-1-arg2P2+arg2 == 0 /\ 1+arg1-arg1P2 == 0 /\ -arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=arg1P0, arg2'=arg2P0, (-arg1P0 == 0 /\ 100-arg2P0 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 Applied preprocessing Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1P1, arg2'=arg2P1, (-1+arg1-arg1P1 == 0 /\ 1-arg2P1+arg2 == 0 /\ -52+arg2 < 0 /\ -arg1+arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Applied preprocessing Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1P2, arg2'=arg2P2, (-1-arg2P2+arg2 == 0 /\ 1+arg1-arg1P2 == 0 /\ -arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 Simplified rules Start location: __init 4: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 5: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 6: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1-n1, arg2'=n1+arg2, (n1 >= 0 /\ -arg1+arg2 > 0 /\ 53-n1-arg2 > 0), cost: n1 Applied instantiation Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1-n1, arg2'=n1+arg2, (n1 >= 0 /\ -arg1+arg2 > 0 /\ 53-n1-arg2 > 0), cost: n1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0), cost: 52-arg2 Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1+n3, arg2'=-n3+arg2, (n3 >= 0 /\ -50-n3+arg2 > 0 /\ 2-arg1-2*n3+arg2 > 0), cost: n3 Applied instantiation Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1+n3, arg2'=-n3+arg2, (n3 >= 0 /\ -50-n3+arg2 > 0 /\ 2-arg1-2*n3+arg2 > 0), cost: n3 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : (-arg1+arg2 > 0 /\ -51+arg2 == 0), cost: 2 Applied nonterm Original rule: f79_0_main_GE -> f79_0_main_GE : (-arg1+arg2 > 0 /\ -51+arg2 == 0), cost: 2 New rule: f79_0_main_GE -> [3] : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : (-arg1+arg2 > 0 /\ -51+arg2 == 0), cost: 2 New rule: f79_0_main_GE -> f79_0_main_GE : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -51+arg2 >= 0), cost: 2*n5 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> [3] : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-52+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: NONTERM Heuristically decided not to add the following rule: f79_0_main_GE -> f79_0_main_GE : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -51+arg2 >= 0), cost: 2*n5 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : (-52+arg2 == 0 /\ -2-arg1+arg2 > 0), cost: 2 Applied nonterm Original rule: f79_0_main_GE -> f79_0_main_GE : (-52+arg2 == 0 /\ -2-arg1+arg2 > 0), cost: 2 New rule: f79_0_main_GE -> [3] : (-52+arg2 >= 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: NONTERM Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : (-52+arg2 == 0 /\ -2-arg1+arg2 > 0), cost: 2 New rule: f79_0_main_GE -> f79_0_main_GE : (-52+arg2 >= 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: 2*n7 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> [3] : (-52+arg2 >= 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM Heuristically decided not to add the following rule: f79_0_main_GE -> f79_0_main_GE : (-52+arg2 >= 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: 2*n7 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: -49+arg2 Applied nonterm Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: -49+arg2 New rule: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: NONTERM Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: -49+arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (-50+arg2 >= 0 /\ -1+n9 >= 0 /\ 52-arg2 > 0 /\ ((51-arg1 > 0 /\ -arg1+arg2 > 0) \/ (-arg1+arg2 > 0 /\ 52-arg2 > 0))), cost: 2*n9 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 Second rule: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (1 > 0 /\ 1 >= 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (-50+arg2 >= 0 /\ -1+n9 >= 0 /\ 52-arg2 > 0 /\ ((51-arg1 > 0 /\ -arg1+arg2 > 0) \/ (-arg1+arg2 > 0 /\ 52-arg2 > 0))), cost: 2*n9 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 1 >= 0 /\ 104-arg1-arg2 > 0 /\ -1+n9 >= 0 /\ -51+arg2 >= 0 /\ ((1 > 0 /\ 102-arg1-arg2 > 0) \/ 102-arg1-arg2 > 0)), cost: -51+2*n9+arg2 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -50+arg2 Applied nonterm Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -50+arg2 New rule: f79_0_main_GE -> [3] : (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -50+arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: 2*n11 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> [3] : (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ 102-arg1-arg2 > 0), cost: NONTERM Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: 2*n11 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=52, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ 102-arg1-arg2 > 0), cost: 1+2*n11 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0), cost: 52-arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-2-arg1+arg2 > 0 /\ -51+arg2 > 0 /\ -53+arg2 <= 0), cost: 54-arg2 Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-2-arg1+arg2 > 0 /\ -51+arg2 > 0 /\ -53+arg2 <= 0), cost: 54-arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-1+n13 >= 0 /\ -51+arg2 > 0 /\ 53-arg2 >= 0 /\ ((50-arg1 > 0 /\ -2-arg1+arg2 > 0) \/ (50-arg1 > 0 /\ -51+arg2 > 0))), cost: 2*n13 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0), cost: 52-arg2 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-1+n13 >= 0 /\ -51+arg2 > 0 /\ 53-arg2 >= 0 /\ ((50-arg1 > 0 /\ -2-arg1+arg2 > 0) \/ (50-arg1 > 0 /\ -51+arg2 > 0))), cost: 2*n13 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ 1 >= 0 /\ -1+n13 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ ((1 > 0 /\ 102-arg1-arg2 > 0) \/ 102-arg1-arg2 > 0)), cost: 52+2*n13-arg2 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0), cost: 52-arg2 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-52+arg2 <= 0 /\ -arg1+arg2 > 0), cost: 53-arg2 Applied acceleration Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-52+arg2 <= 0 /\ -arg1+arg2 > 0), cost: 53-arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (51-arg1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ -1+n15 >= 0), cost: 2*n15 Applied chaining First rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=-1+arg2, (-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (51-arg1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ -1+n15 >= 0), cost: 2*n15 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=51, (-arg1+arg2 > 0 /\ 50-arg1 > 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0 /\ -1+n15 >= 0 /\ 53-arg2 >= 0), cost: 1+2*n15 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0), cost: 52-arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-52+arg2 <= 0 /\ -arg1+arg2 > 0), cost: 52-arg2 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 Applied simplification Original rule: f79_0_main_GE -> [3] : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-arg1+arg2 > 0 /\ -51+arg2 <= 0 /\ -51+arg2 >= 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> [3] : (-52+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-52+arg2 <= 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> [3] : (-52+arg2 >= 0 /\ 52-arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-52+arg2 <= 0 /\ -52+arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> [3] : (51-arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-arg1+arg2 > 0 /\ 52-arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> [3] : (1 > 0 /\ 1 >= 0 /\ 104-arg1-arg2 > 0 /\ -51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (-50+arg2 >= 0 /\ -1+n9 >= 0 /\ 52-arg2 > 0 /\ ((51-arg1 > 0 /\ -arg1+arg2 > 0) \/ (-arg1+arg2 > 0 /\ 52-arg2 > 0))), cost: 2*n9 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (-50+arg2 >= 0 /\ -1+n9 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 2*n9 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (1 > 0 /\ 1 >= 0 /\ 104-arg1-arg2 > 0 /\ -1+n9 >= 0 /\ -51+arg2 >= 0 /\ ((1 > 0 /\ 102-arg1-arg2 > 0) \/ 102-arg1-arg2 > 0)), cost: -51+2*n9+arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-1+n9 >= 0 /\ -51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -51+2*n9+arg2 Applied simplification Original rule: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ 102-arg1-arg2 > 0), cost: NONTERM New rule: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: NONTERM Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=52, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0 /\ 102-arg1-arg2 > 0), cost: 1+2*n11 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=52, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1+2*n11 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-1+n13 >= 0 /\ -51+arg2 > 0 /\ 53-arg2 >= 0 /\ ((50-arg1 > 0 /\ -2-arg1+arg2 > 0) \/ (50-arg1 > 0 /\ -51+arg2 > 0))), cost: 2*n13 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-1+n13 >= 0 /\ 50-arg1 > 0 /\ -51+arg2 > 0 /\ -53+arg2 <= 0), cost: 2*n13 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (1 > 0 /\ 1 >= 0 /\ -1+n13 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ ((1 > 0 /\ 102-arg1-arg2 > 0) \/ 102-arg1-arg2 > 0)), cost: 52+2*n13-arg2 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-52+arg2 <= 0 /\ -1+n13 >= 0 /\ -arg1+arg2 > 0 /\ 102-arg1-arg2 > 0), cost: 52+2*n13-arg2 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (51-arg1 > 0 /\ -arg1+arg2 > 0 /\ 52-arg2 >= 0 /\ -1+n15 >= 0), cost: 2*n15 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (51-arg1 > 0 /\ -52+arg2 <= 0 /\ -arg1+arg2 > 0 /\ -1+n15 >= 0), cost: 2*n15 Applied simplification Original rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=51, (-arg1+arg2 > 0 /\ 50-arg1 > 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0 /\ -1+n15 >= 0 /\ 53-arg2 >= 0), cost: 1+2*n15 New rule: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=51, (50-arg1 > 0 /\ -51+arg2 > 0 /\ -1+n15 >= 0 /\ -53+arg2 <= 0), cost: 1+2*n15 Applied deletion Removed the following rules: 5 6 Applied deletion Removed the following rules: 13 17 Accelerated simple loops Start location: __init 4: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 19: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: 2*n11 25: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-52+arg2 <= 0 /\ -arg1+arg2 > 0), cost: 52-arg2 26: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 27: f79_0_main_GE -> [3] : (-arg1+arg2 > 0 /\ -51+arg2 <= 0 /\ -51+arg2 >= 0), cost: NONTERM 28: f79_0_main_GE -> [3] : (-52+arg2 <= 0 /\ -2-arg1+arg2 > 0 /\ -51+arg2 > 0), cost: NONTERM 29: f79_0_main_GE -> [3] : (-52+arg2 <= 0 /\ -52+arg2 >= 0 /\ -2-arg1+arg2 > 0), cost: NONTERM 30: f79_0_main_GE -> [3] : (-arg1+arg2 > 0 /\ 52-arg2 > 0 /\ -51+arg2 >= 0), cost: NONTERM 31: f79_0_main_GE -> [3] : (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM 32: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (-50+arg2 >= 0 /\ -1+n9 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 2*n9 33: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-1+n9 >= 0 /\ -51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -51+2*n9+arg2 34: f79_0_main_GE -> [3] : (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: NONTERM 35: f79_0_main_GE -> f79_0_main_GE : arg1'=-1+arg1, arg2'=52, (-50+arg2 >= 0 /\ -arg1+arg2 > 0 /\ 52-arg2 > 0), cost: 1+2*n11 36: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-1+n13 >= 0 /\ 50-arg1 > 0 /\ -51+arg2 > 0 /\ -53+arg2 <= 0), cost: 2*n13 37: f79_0_main_GE -> f79_0_main_GE : arg1'=-52+arg1+arg2, arg2'=52, (-52+arg2 <= 0 /\ -1+n13 >= 0 /\ -arg1+arg2 > 0 /\ 102-arg1-arg2 > 0), cost: 52+2*n13-arg2 38: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=51, (51-arg1 > 0 /\ -52+arg2 <= 0 /\ -arg1+arg2 > 0 /\ -1+n15 >= 0), cost: 2*n15 39: f79_0_main_GE -> f79_0_main_GE : arg1'=1+arg1, arg2'=51, (50-arg1 > 0 /\ -51+arg2 > 0 /\ -1+n15 >= 0 /\ -53+arg2 <= 0), cost: 1+2*n15 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=arg1, arg2'=52, (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: 2*n11 New rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=52, (49 >= 0 /\ 2 > 0), cost: 1+2*n11 Applied chaining First rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (104-arg1-arg2 > 0 /\ -51+arg2 >= 0), cost: -51+arg2 New rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=49, arg2'=51, (49 >= 0 /\ 4 > 0), cost: 50 Applied chaining First rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 Second rule: f79_0_main_GE -> [3] : (-51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM Applied chaining First rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 Second rule: f79_0_main_GE -> f79_0_main_GE : arg1'=-51+arg1+arg2, arg2'=51, (-1+n9 >= 0 /\ -51+arg2 >= 0 /\ 102-arg1-arg2 > 0), cost: -51+2*n9+arg2 New rule: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=49, arg2'=51, -1+n9 >= 0, cost: 50+2*n9 Applied deletion Removed the following rules: 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=100, TRUE, cost: 1 40: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=0, arg2'=52, (49 >= 0 /\ 2 > 0), cost: 1+2*n11 41: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=49, arg2'=51, (49 >= 0 /\ 4 > 0), cost: 50 42: f1_0_main_ConstantStackPush -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM 43: f1_0_main_ConstantStackPush -> f79_0_main_GE : arg1'=49, arg2'=51, -1+n9 >= 0, cost: 50+2*n9 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 42: f1_0_main_ConstantStackPush -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, arg2'=arg2P3, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM New rule: __init -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM Applied deletion Removed the following rules: 3 42 Eliminated locations on linear paths Start location: __init 44: __init -> [3] : (49 >= 0 /\ 2 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 44 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (49 >= 0 /\ 2 > 0)