WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ arg1P0 > 0 /\ -arg2P0 == 0 /\ -arg3P0+arg2 == 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 1: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0 /\ arg1P1 > 0 /\ 1+arg2-arg2P1 == 0 /\ -arg1+arg1P1 <= 0 /\ -arg3P1+arg3 == 0), cost: 1 2: f500_0_main_GE -> f323_0_rec0_GT : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0 /\ -arg1P2 == 0 /\ arg3-arg2P2 == 0), cost: 1 3: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg2-arg2P3 == 0 /\ 1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0 /\ 1+arg1-arg1P3 == 0), cost: 1 4: f323_0_rec0_GT -> f376_0_rec1_GT : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (-arg2P4 == 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0 /\ 2*arg1-arg3P4 == 0 /\ arg1-arg1P4 == 0), cost: 1 5: f376_0_rec1_GT -> f376_0_rec1_GT : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ arg1-arg1P5 == 0 /\ 1+arg2 > 0 /\ 1-arg2P5+arg2 == 0 /\ arg3-arg3P5 == 0), cost: 1 6: f376_0_rec1_GT -> f319_0_rec2_LT : arg1'=arg1P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (arg1+arg2-arg3P6 == 0 /\ arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ arg1-arg1P6 == 0 /\ 1+arg2 > 0 /\ -arg2P6+arg2 == 0), cost: 1 7: f319_0_rec2_LT -> f319_0_rec2_LT : arg1'=arg1P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (-arg2P7+arg2 == 0 /\ 4*arg3 >= 0 /\ arg1-arg1P7 == 0 /\ 2*arg1+3*arg2 >= 0 /\ -1+arg3-arg3P7 == 0 /\ 2*arg1 >= 0 /\ 1+arg3 > 0 /\ 3*arg2 >= 0), cost: 1 8: f319_0_rec2_LT -> f541_0_rec3_GT : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, (4*arg3 >= 0 /\ arg1-arg1P8 == 0 /\ -arg2P8+arg2 == 0 /\ 2*arg1-arg5P8+4*arg3+3*arg2 == 0 /\ 2*arg1+3*arg2 >= 0 /\ arg3-arg3P8 == 0 /\ -arg4P8 == 0 /\ 2*arg1 >= 0 /\ 1+arg3 > 0 /\ 3*arg2 >= 0), cost: 1 9: f541_0_rec3_GT -> f541_0_rec3_GT : arg1'=arg1P9, arg3'=arg3P9, arg5'=arg5P9, arg2'=arg2P9, arg4'=arg4P9, (10*arg3 >= 0 /\ 1+arg4 > 0 /\ 1000*arg1 >= 0 /\ 1-arg4P9+arg4 == 0 /\ 1000*arg1+100*arg2 >= 0 /\ arg5-arg5P9 == 0 /\ -arg2P9+arg2 == 0 /\ 100*arg2 >= 0 /\ arg5-arg4 >= 0 /\ arg1-arg1P9 == 0 /\ 1000*arg1+10*arg3+100*arg2 >= 0 /\ arg3-arg3P9 == 0 /\ 1+arg3 > 0), cost: 1 10: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=arg1P10, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (10*arg3 >= 0 /\ 1+arg4 > 0 /\ 1000*arg1 >= 0 /\ 1000*arg1+100*arg2 >= 0 /\ 100*arg2 >= 0 /\ 1000*arg1+10*arg3+100*arg2-arg1P10+arg4 == 0 /\ arg5-arg4 >= 0 /\ 1000*arg1+10*arg3+100*arg2 >= 0 /\ 1+arg3 > 0), cost: 1 11: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=arg1P11, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (-1+arg1-arg1P11 == 0 /\ 1+arg1 > 0), cost: 1 12: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg4'=arg4P12, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ arg1P0 > 0 /\ -arg2P0 == 0 /\ -arg3P0+arg2 == 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg2, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, (arg1P0 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 Applied preprocessing Original rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0 /\ arg1P1 > 0 /\ 1+arg2-arg2P1 == 0 /\ -arg1+arg1P1 <= 0 /\ -arg3P1+arg3 == 0), cost: 1 New rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=1+arg2, arg4'=arg4P1, (arg3-arg2 > 0 /\ arg3 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 Applied preprocessing Original rule: f500_0_main_GE -> f323_0_rec0_GT : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0 /\ -arg1P2 == 0 /\ arg3-arg2P2 == 0), cost: 1 New rule: f500_0_main_GE -> f323_0_rec0_GT : arg1'=0, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg3, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 1 Applied preprocessing Original rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (arg2-arg2P3 == 0 /\ 1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0 /\ 1+arg1-arg1P3 == 0), cost: 1 New rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg1, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f323_0_rec0_GT -> f376_0_rec1_GT : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (-arg2P4 == 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0 /\ 2*arg1-arg3P4 == 0 /\ arg1-arg1P4 == 0), cost: 1 New rule: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P4, arg2'=0, arg4'=arg4P4, (-arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ arg1-arg1P5 == 0 /\ 1+arg2 > 0 /\ 1-arg2P5+arg2 == 0 /\ arg3-arg3P5 == 0), cost: 1 New rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg2, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f376_0_rec1_GT -> f319_0_rec2_LT : arg1'=arg1P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (arg1+arg2-arg3P6 == 0 /\ arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ arg1-arg1P6 == 0 /\ 1+arg2 > 0 /\ -arg2P6+arg2 == 0), cost: 1 New rule: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=arg1+arg2, arg5'=arg5P6, arg4'=arg4P6, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg1'=arg1P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (-arg2P7+arg2 == 0 /\ 4*arg3 >= 0 /\ arg1-arg1P7 == 0 /\ 2*arg1+3*arg2 >= 0 /\ -1+arg3-arg3P7 == 0 /\ 2*arg1 >= 0 /\ 1+arg3 > 0 /\ 3*arg2 >= 0), cost: 1 New rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1+arg3, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 Applied preprocessing Original rule: f319_0_rec2_LT -> f541_0_rec3_GT : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, (4*arg3 >= 0 /\ arg1-arg1P8 == 0 /\ -arg2P8+arg2 == 0 /\ 2*arg1-arg5P8+4*arg3+3*arg2 == 0 /\ 2*arg1+3*arg2 >= 0 /\ arg3-arg3P8 == 0 /\ -arg4P8 == 0 /\ 2*arg1 >= 0 /\ 1+arg3 > 0 /\ 3*arg2 >= 0), cost: 1 New rule: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=0, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 Applied preprocessing Original rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg1'=arg1P9, arg3'=arg3P9, arg5'=arg5P9, arg2'=arg2P9, arg4'=arg4P9, (10*arg3 >= 0 /\ 1+arg4 > 0 /\ 1000*arg1 >= 0 /\ 1-arg4P9+arg4 == 0 /\ 1000*arg1+100*arg2 >= 0 /\ arg5-arg5P9 == 0 /\ -arg2P9+arg2 == 0 /\ 100*arg2 >= 0 /\ arg5-arg4 >= 0 /\ arg1-arg1P9 == 0 /\ 1000*arg1+10*arg3+100*arg2 >= 0 /\ arg3-arg3P9 == 0 /\ 1+arg3 > 0), cost: 1 New rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg4, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 Applied preprocessing Original rule: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=arg1P10, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (10*arg3 >= 0 /\ 1+arg4 > 0 /\ 1000*arg1 >= 0 /\ 1000*arg1+100*arg2 >= 0 /\ 100*arg2 >= 0 /\ 1000*arg1+10*arg3+100*arg2-arg1P10+arg4 == 0 /\ arg5-arg4 >= 0 /\ 1000*arg1+10*arg3+100*arg2 >= 0 /\ 1+arg3 > 0), cost: 1 New rule: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=1000*arg1+10*arg3+100*arg2+arg4, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 Applied preprocessing Original rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=arg1P11, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (-1+arg1-arg1P11 == 0 /\ 1+arg1 > 0), cost: 1 New rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1+arg1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, 1+arg1 > 0, cost: 1 Simplified rules Start location: __init 13: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg2, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, (arg1P0 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 14: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=1+arg2, arg4'=arg4P1, (arg3-arg2 > 0 /\ arg3 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 15: f500_0_main_GE -> f323_0_rec0_GT : arg1'=0, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg3, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 1 16: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg1, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 17: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P4, arg2'=0, arg4'=arg4P4, (-arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 18: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg2, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 19: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=arg1+arg2, arg5'=arg5P6, arg4'=arg4P6, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 20: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1+arg3, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 21: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=0, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 22: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg4, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 23: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=1000*arg1+10*arg3+100*arg2+arg4, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 24: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1+arg1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, 1+arg1 > 0, cost: 1 12: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg4'=arg4P12, TRUE, cost: 1 Applied acceleration Original rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=1+arg2, arg4'=arg4P1, (arg3-arg2 > 0 /\ arg3 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 New rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=n0+arg2, arg4'=arg4P1, (arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+n0 >= 0 /\ 1+arg3-n0-arg2 > 0), cost: n0 Applied instantiation Original rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=n0+arg2, arg4'=arg4P1, (arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+n0 >= 0 /\ 1+arg3-n0-arg2 > 0), cost: n0 New rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=arg3, arg4'=arg4P1, (1 > 0 /\ arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+arg3-arg2 >= 0), cost: arg3-arg2 Applied simplification Original rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=arg3, arg4'=arg4P1, (1 > 0 /\ arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+arg3-arg2 >= 0), cost: arg3-arg2 New rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=arg3, arg4'=arg4P1, (arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+arg3-arg2 >= 0), cost: arg3-arg2 Applied deletion Removed the following rules: 14 Applied acceleration Original rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg1, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 New rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=arg1+n3, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ arg2 > 0 /\ -1+n3 >= 0 /\ 1-arg1-n3+arg2 >= 0), cost: n3 Applied instantiation Original rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=arg1+n3, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ arg2 > 0 /\ -1+n3 >= 0 /\ 1-arg1-n3+arg2 >= 0), cost: n3 New rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg2, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (0 >= 0 /\ 1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1-arg1+arg2 Applied simplification Original rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg2, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (0 >= 0 /\ 1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1-arg1+arg2 New rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg2, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1-arg1+arg2 Applied deletion Removed the following rules: 16 Applied acceleration Original rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg2, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 New rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=arg2+n6, arg4'=arg4P5, (1+arg3-arg2-n6 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ -1+n6 >= 0), cost: n6 Applied instantiation Original rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=arg2+n6, arg4'=arg4P5, (1+arg3-arg2-n6 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ -1+n6 >= 0), cost: n6 New rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg3, arg4'=arg4P5, (0 >= 0 /\ arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1+arg3-arg2 Applied simplification Original rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg3, arg4'=arg4P5, (0 >= 0 /\ arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1+arg3-arg2 New rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg3, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1+arg3-arg2 Applied deletion Removed the following rules: 18 Applied acceleration Original rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1+arg3, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 New rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=arg3-n9, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg2 >= 0 /\ 2+arg3-n9 > 0 /\ -1+n9 >= 0), cost: n9 Applied instantiation Original rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=arg3-n9, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg2 >= 0 /\ 2+arg3-n9 > 0 /\ -1+n9 >= 0), cost: n9 New rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ 1 > 0 /\ arg3 >= 0 /\ arg2 >= 0), cost: 1+arg3 Applied simplification Original rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ 1 > 0 /\ arg3 >= 0 /\ arg2 >= 0), cost: 1+arg3 New rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg3 >= 0 /\ arg2 >= 0), cost: 1+arg3 Applied deletion Removed the following rules: 20 Applied acceleration Original rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg4, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 New rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=n12+arg4, (arg1 >= 0 /\ n12 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1-n12+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: n12 Applied instantiation Original rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=n12+arg4, (arg1 >= 0 /\ n12 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1-n12+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: n12 New rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg5, (0 >= 0 /\ arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1+arg5-arg4 Applied simplification Original rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg5, (0 >= 0 /\ arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1+arg5-arg4 New rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg5, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1+arg5-arg4 Applied deletion Removed the following rules: 22 Applied acceleration Original rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1+arg1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, 1+arg1 > 0, cost: 1 New rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=arg1-n15, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (-1+n15 >= 0 /\ 2+arg1-n15 > 0), cost: n15 Applied instantiation Original rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=arg1-n15, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (-1+n15 >= 0 /\ 2+arg1-n15 > 0), cost: n15 New rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (arg1 >= 0 /\ 1 > 0), cost: 1+arg1 Applied simplification Original rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (arg1 >= 0 /\ 1 > 0), cost: 1+arg1 New rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, arg1 >= 0, cost: 1+arg1 Applied deletion Removed the following rules: 24 Accelerated simple loops Start location: __init 13: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg2, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, (arg1P0 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 15: f500_0_main_GE -> f323_0_rec0_GT : arg1'=0, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg3, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 1 26: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=arg3, arg4'=arg4P1, (arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+arg3-arg2 >= 0), cost: arg3-arg2 17: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P4, arg2'=0, arg4'=arg4P4, (-arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 28: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg2, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1-arg1+arg2 19: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=arg1+arg2, arg5'=arg5P6, arg4'=arg4P6, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 30: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg3, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1+arg3-arg2 21: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=0, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 32: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg3 >= 0 /\ arg2 >= 0), cost: 1+arg3 23: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=1000*arg1+10*arg3+100*arg2+arg4, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 34: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg5, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1+arg5-arg4 36: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, arg1 >= 0, cost: 1+arg1 12: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg4'=arg4P12, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg2, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, (arg1P0 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 Second rule: f500_0_main_GE -> f500_0_main_GE : arg1'=arg1P1, arg5'=arg5P1, arg2'=arg3, arg4'=arg4P1, (arg3 > 0 /\ arg1-arg1P1 >= 0 /\ arg1P1 > 0 /\ -1+arg3-arg2 >= 0), cost: arg3-arg2 New rule: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P1, arg3'=arg2, arg5'=arg5P1, arg4'=arg4P1, (arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg2 Applied deletion Removed the following rules: 26 Applied chaining First rule: f500_0_main_GE -> f323_0_rec0_GT : arg1'=0, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg3, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 1 Second rule: f323_0_rec0_GT -> f323_0_rec0_GT : arg1'=1+arg2, arg3'=arg3P3, arg5'=arg5P3, arg4'=arg4P3, (1+arg1 > 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 1-arg1+arg2 New rule: f500_0_main_GE -> f323_0_rec0_GT : arg1'=1+arg3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg3, arg4'=arg4P3, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 2+arg3 Applied deletion Removed the following rules: 28 Applied chaining First rule: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P4, arg2'=0, arg4'=arg4P4, (-arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 Second rule: f376_0_rec1_GT -> f376_0_rec1_GT : arg5'=arg5P5, arg2'=1+arg3, arg4'=arg4P5, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1+arg3-arg2 New rule: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P5, arg2'=1+2*arg1, arg4'=arg4P5, (arg1 >= 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 2+2*arg1 Applied deletion Removed the following rules: 30 Applied chaining First rule: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=arg1+arg2, arg5'=arg5P6, arg4'=arg4P6, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f319_0_rec2_LT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg1 >= 0 /\ arg3 >= 0 /\ arg2 >= 0), cost: 1+arg3 New rule: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 2+arg1+arg2 Applied deletion Removed the following rules: 32 Applied chaining First rule: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=0, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 Second rule: f541_0_rec3_GT -> f541_0_rec3_GT : arg4'=1+arg5, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ 1+arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1+arg5-arg4 New rule: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=1+2*arg1+4*arg3+3*arg2, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 2+2*arg1+4*arg3+3*arg2 Applied deletion Removed the following rules: 34 Applied chaining First rule: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=1000*arg1+10*arg3+100*arg2+arg4, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 Second rule: f493_0_rec4_LT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, arg1 >= 0, cost: 1+arg1 New rule: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 2+1000*arg1+10*arg3+100*arg2+arg4 Applied deletion Removed the following rules: 36 Chained accelerated rules with incoming rules Start location: __init 13: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P0, arg3'=arg2, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, (arg1P0 > 0 /\ 1+arg2 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 37: f1_0_main_ConstantStackPush -> f500_0_main_GE : arg1'=arg1P1, arg3'=arg2, arg5'=arg5P1, arg4'=arg4P1, (arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1+arg2 15: f500_0_main_GE -> f323_0_rec0_GT : arg1'=0, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg3, arg4'=arg4P2, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 1 38: f500_0_main_GE -> f323_0_rec0_GT : arg1'=1+arg3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg3, arg4'=arg4P3, (arg1 > 0 /\ arg3-arg2 > 0 /\ arg3 > 0), cost: 2+arg3 17: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P4, arg2'=0, arg4'=arg4P4, (-arg1+arg2 >= 0 /\ arg2 > 0), cost: 1 39: f323_0_rec0_GT -> f376_0_rec1_GT : arg3'=2*arg1, arg5'=arg5P5, arg2'=1+2*arg1, arg4'=arg4P5, (arg1 >= 0 /\ -arg1+arg2 >= 0 /\ arg2 > 0), cost: 2+2*arg1 19: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=arg1+arg2, arg5'=arg5P6, arg4'=arg4P6, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 1 40: f376_0_rec1_GT -> f319_0_rec2_LT : arg3'=-1, arg5'=arg5P7, arg4'=arg4P7, (arg3-arg2 >= 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0), cost: 2+arg1+arg2 21: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=0, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 1 41: f319_0_rec2_LT -> f541_0_rec3_GT : arg5'=2*arg1+4*arg3+3*arg2, arg4'=1+2*arg1+4*arg3+3*arg2, (arg1 >= 0 /\ arg2 >= 0 /\ 1+arg3 > 0), cost: 2+2*arg1+4*arg3+3*arg2 23: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=1000*arg1+10*arg3+100*arg2+arg4, arg3'=arg3P10, arg5'=arg5P10, arg2'=arg2P10, arg4'=arg4P10, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 1 42: f541_0_rec3_GT -> f493_0_rec4_LT : arg1'=-1, arg3'=arg3P11, arg5'=arg5P11, arg2'=arg2P11, arg4'=arg4P11, (arg1 >= 0 /\ 1+arg4 > 0 /\ arg2 >= 0 /\ arg5-arg4 >= 0 /\ 1+arg3 > 0), cost: 2+1000*arg1+10*arg3+100*arg2+arg4 12: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P12, arg3'=arg3P12, arg5'=arg5P12, arg2'=arg2P12, arg4'=arg4P12, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0