WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg8'=arg8P0, arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (arg1 > 0 /\ arg2-arg3P0 == 0 /\ -arg1+arg1P0 <= 0 /\ -arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 1: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg8'=arg8P1, arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, arg9'=arg9P1, (arg1 > 0 /\ arg2-arg2P1 == 0 /\ arg3-arg2 > 0 /\ -arg5P1+arg3 == 0 /\ -arg3P1 == 0 /\ arg1P1 > 0 /\ -arg4P1+2*arg2 == 0 /\ -arg1+arg1P1 <= 0), cost: 1 2: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg8'=arg8P2, arg5'=arg5P2, arg2'=arg2P2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1 > 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ 1-arg2P2+arg2 == 0 /\ arg3-arg4 >= 0 /\ -arg3P2+arg5 == 0), cost: 1 3: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg8'=arg8P3, arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, arg9'=arg9P3, (arg1 > 0 /\ arg1P3 > 0 /\ -arg6P3+arg5 == 0 /\ arg4-arg3P3 == 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg2P3+arg2 == 0 /\ arg3-arg4P3 == 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ arg3-arg5P3+arg2 == 0), cost: 1 4: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg8'=arg8P4, arg5'=arg5P4, arg2'=arg2P4, arg7'=arg7P4, arg4'=arg4P4, arg9'=arg9P4, (arg1 > 0 /\ arg6-arg5P4 == 0 /\ arg2-arg2P4 == 0 /\ -arg1+arg1P4 <= 0 /\ -arg4P4+arg3 == 0 /\ arg5 < 0 /\ arg1P4 > 0 /\ 1-arg3P4+arg4 == 0), cost: 1 5: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg8'=arg8P5, arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, arg9'=arg9P5, (arg1 > 0 /\ arg3-arg3P5 == 0 /\ arg6-arg8P5 == 0 /\ 2*arg2+3*arg4 >= 0 /\ arg4-arg4P5 == 0 /\ 3*arg4 >= 0 /\ 1+arg5 > 0 /\ -arg5P5+arg5 == 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ -arg6P5 == 0 /\ 4*arg5 >= 0 /\ 2*arg2 >= 0 /\ arg2-arg2P5 == 0 /\ -arg7P5+4*arg5+2*arg2+3*arg4 == 0), cost: 1 6: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg8'=arg8P6, arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, arg9'=arg9P6, (arg1 > 0 /\ arg3-arg3P6 == 0 /\ -arg2P6+arg2 == 0 /\ arg4-arg4P6 == 0 /\ arg8-arg6P6 == 0 /\ -1+arg5-arg5P6 == 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 7: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg8'=arg8P7, arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, arg9'=arg9P7, (arg1 > 0 /\ 1000*arg2 >= 0 /\ -arg1+arg1P7 <= 0 /\ 100*arg4 >= 0 /\ arg8-arg9P7 == 0 /\ -arg2P7+arg2 == 0 /\ arg1P7 > 0 /\ -arg6P7+arg7 == 0 /\ 10*arg5+1000*arg2+100*arg4 >= 0 /\ 10*arg5 >= 0 /\ arg3-arg3P7 == 0 /\ 1000*arg2+100*arg4 >= 0 /\ -arg6+arg7 > 0 /\ -arg7P7+arg6 == 0 /\ arg5-arg5P7 == 0 /\ 1+arg6 > 0 /\ arg6-arg8P7+10*arg5+1000*arg2+100*arg4 == 0 /\ -arg4P7+arg4 == 0), cost: 1 8: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg8'=arg8P8, arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, arg9'=arg9P8, (arg1 > 0 /\ -arg4P8+arg4 == 0 /\ 1-arg6P8+arg7 == 0 /\ arg6-arg7P8 == 0 /\ arg1P8 > 0 /\ arg5-arg5P8 == 0 /\ arg8 < 0 /\ -arg2P8+arg2 == 0 /\ -arg3P8+arg3 == 0 /\ -arg1+arg1P8 <= 0 /\ -arg8P8+arg9 == 0), cost: 1 9: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg6P9, arg3'=arg3P9, arg8'=arg8P9, arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, arg9'=arg9P9, (arg1 > 0 /\ -1+arg8-arg8P9 == 0 /\ 1+arg8 > 0 /\ -arg4P9+arg4 == 0 /\ arg3-arg3P9 == 0 /\ -arg9P9+arg9 == 0 /\ -arg1+arg1P9 <= 0 /\ -arg2P9+arg2 == 0 /\ -arg7P9+arg7 == 0 /\ -arg5P9+arg5 == 0 /\ arg1P9 > 0 /\ arg6-arg6P9 == 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg9'=arg9P10, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, arg8'=arg8P0, arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (arg1 > 0 /\ arg2-arg3P0 == 0 /\ -arg1+arg1P0 <= 0 /\ -arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1+arg1P0 <= 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 Applied preprocessing Original rule: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, arg8'=arg8P1, arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, arg9'=arg9P1, (arg1 > 0 /\ arg2-arg2P1 == 0 /\ arg3-arg2 > 0 /\ -arg5P1+arg3 == 0 /\ -arg3P1 == 0 /\ arg1P1 > 0 /\ -arg4P1+2*arg2 == 0 /\ -arg1+arg1P1 <= 0), cost: 1 New rule: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 Applied preprocessing Original rule: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, arg8'=arg8P2, arg5'=arg5P2, arg2'=arg2P2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1 > 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ 1-arg2P2+arg2 == 0 /\ arg3-arg4 >= 0 /\ -arg3P2+arg5 == 0), cost: 1 New rule: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 Applied preprocessing Original rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, arg8'=arg8P3, arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, arg9'=arg9P3, (arg1 > 0 /\ arg1P3 > 0 /\ -arg6P3+arg5 == 0 /\ arg4-arg3P3 == 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg2P3+arg2 == 0 /\ arg3-arg4P3 == 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ arg3-arg5P3+arg2 == 0), cost: 1 New rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 Applied preprocessing Original rule: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, arg8'=arg8P4, arg5'=arg5P4, arg2'=arg2P4, arg7'=arg7P4, arg4'=arg4P4, arg9'=arg9P4, (arg1 > 0 /\ arg6-arg5P4 == 0 /\ arg2-arg2P4 == 0 /\ -arg1+arg1P4 <= 0 /\ -arg4P4+arg3 == 0 /\ arg5 < 0 /\ arg1P4 > 0 /\ 1-arg3P4+arg4 == 0), cost: 1 New rule: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 Applied preprocessing Original rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=arg6P5, arg3'=arg3P5, arg8'=arg8P5, arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, arg9'=arg9P5, (arg1 > 0 /\ arg3-arg3P5 == 0 /\ arg6-arg8P5 == 0 /\ 2*arg2+3*arg4 >= 0 /\ arg4-arg4P5 == 0 /\ 3*arg4 >= 0 /\ 1+arg5 > 0 /\ -arg5P5+arg5 == 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ -arg6P5 == 0 /\ 4*arg5 >= 0 /\ 2*arg2 >= 0 /\ arg2-arg2P5 == 0 /\ -arg7P5+4*arg5+2*arg2+3*arg4 == 0), cost: 1 New rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 Applied preprocessing Original rule: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6P6, arg3'=arg3P6, arg8'=arg8P6, arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, arg9'=arg9P6, (arg1 > 0 /\ arg3-arg3P6 == 0 /\ -arg2P6+arg2 == 0 /\ arg4-arg4P6 == 0 /\ arg8-arg6P6 == 0 /\ -1+arg5-arg5P6 == 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 New rule: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 Applied preprocessing Original rule: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg6P7, arg3'=arg3P7, arg8'=arg8P7, arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, arg9'=arg9P7, (arg1 > 0 /\ 1000*arg2 >= 0 /\ -arg1+arg1P7 <= 0 /\ 100*arg4 >= 0 /\ arg8-arg9P7 == 0 /\ -arg2P7+arg2 == 0 /\ arg1P7 > 0 /\ -arg6P7+arg7 == 0 /\ 10*arg5+1000*arg2+100*arg4 >= 0 /\ 10*arg5 >= 0 /\ arg3-arg3P7 == 0 /\ 1000*arg2+100*arg4 >= 0 /\ -arg6+arg7 > 0 /\ -arg7P7+arg6 == 0 /\ arg5-arg5P7 == 0 /\ 1+arg6 > 0 /\ arg6-arg8P7+10*arg5+1000*arg2+100*arg4 == 0 /\ -arg4P7+arg4 == 0), cost: 1 New rule: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 Applied preprocessing Original rule: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg6P8, arg3'=arg3P8, arg8'=arg8P8, arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, arg9'=arg9P8, (arg1 > 0 /\ -arg4P8+arg4 == 0 /\ 1-arg6P8+arg7 == 0 /\ arg6-arg7P8 == 0 /\ arg1P8 > 0 /\ arg5-arg5P8 == 0 /\ arg8 < 0 /\ -arg2P8+arg2 == 0 /\ -arg3P8+arg3 == 0 /\ -arg1+arg1P8 <= 0 /\ -arg8P8+arg9 == 0), cost: 1 New rule: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 Applied preprocessing Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg6P9, arg3'=arg3P9, arg8'=arg8P9, arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, arg9'=arg9P9, (arg1 > 0 /\ -1+arg8-arg8P9 == 0 /\ 1+arg8 > 0 /\ -arg4P9+arg4 == 0 /\ arg3-arg3P9 == 0 /\ -arg9P9+arg9 == 0 /\ -arg1+arg1P9 <= 0 /\ -arg2P9+arg2 == 0 /\ -arg7P9+arg7 == 0 /\ -arg5P9+arg5 == 0 /\ arg1P9 > 0 /\ arg6-arg6P9 == 0), cost: 1 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (1+arg8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 1 Simplified rules Start location: __init 11: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1+arg1P0 <= 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 19: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 20: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (1+arg8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg9'=arg9P10, TRUE, cost: 1 Applied acceleration Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (1+arg8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 1 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=arg8-n0, (2+arg8-n0 > 0 /\ arg1-arg1P9 >= 0 /\ -1+n0 >= 0 /\ arg1P9 > 0), cost: n0 Applied instantiation Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=arg8-n0, (2+arg8-n0 > 0 /\ arg1-arg1P9 >= 0 /\ -1+n0 >= 0 /\ arg1P9 > 0), cost: n0 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (1 > 0 /\ arg1-arg1P9 >= 0 /\ arg8 >= 0 /\ arg1P9 > 0), cost: 1+arg8 Applied simplification Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (1 > 0 /\ arg1-arg1P9 >= 0 /\ arg8 >= 0 /\ arg1P9 > 0), cost: 1+arg8 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg8 >= 0 /\ arg1P9 > 0), cost: 1+arg8 Applied deletion Removed the following rules: 20 Accelerated simple loops Start location: __init 11: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1+arg1P0 <= 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 19: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 22: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg8 >= 0 /\ arg1P9 > 0), cost: 1+arg8 10: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg9'=arg9P10, TRUE, cost: 1 Applied chaining First rule: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 Second rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg8 >= 0 /\ arg1P9 > 0), cost: 1+arg8 New rule: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg7, arg8'=-1, arg7'=arg6, arg9'=arg8, (-arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 2+arg6+10*arg5+1000*arg2+100*arg4 Applied deletion Removed the following rules: 22 Chained accelerated rules with incoming rules Start location: __init 11: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1+arg1P0 <= 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 23: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg7, arg8'=-1, arg7'=arg6, arg9'=arg8, (-arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 2+arg6+10*arg5+1000*arg2+100*arg4 19: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg9'=arg9P10, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg9'=arg9P10, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1+arg1P0 <= 0 /\ 1+arg2 > 0 /\ arg1P0 > 0), cost: 1 New rule: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied deletion Removed the following rules: 10 11 Eliminated locations on linear paths Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P7, arg6'=arg7, arg8'=arg6+10*arg5+1000*arg2+100*arg4, arg7'=arg6, arg9'=arg8, (-arg1+arg1P7 <= 0 /\ arg1P7 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 1 23: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg7, arg8'=-1, arg7'=arg6, arg9'=arg8, (-arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 2+arg6+10*arg5+1000*arg2+100*arg4 19: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Eliminating location f448_0_main_LT by chaining: Applied chaining First rule: f422_0_main_GE -> f448_0_main_LT : arg1'=arg1P9, arg6'=arg7, arg8'=-1, arg7'=arg6, arg9'=arg8, (-arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 2+arg6+10*arg5+1000*arg2+100*arg4 Second rule: f448_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg7, arg8'=arg9, arg7'=arg6, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg8 > 0), cost: 1 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg8'=arg8, arg7'=arg7, arg9'=arg9P8, (1 > 0 /\ arg1P8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P8-arg1P9 <= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg8'=arg8, arg7'=arg7, arg9'=arg9P8, (1 > 0 /\ arg1P8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P8-arg1P9 <= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ arg1P9 > 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg8'=arg8, arg7'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P8-arg1P9 <= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 Applied deletion Removed the following rules: 18 19 23 Eliminated locations on tree-shaped paths Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 25: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg8'=arg8, arg7'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P8-arg1P9 <= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg8'=arg8, arg7'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -arg1+arg1P9 <= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P8-arg1P9 <= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 Simplified simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 26: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied acceleration Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=1+arg6, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -arg6+arg7 > 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 3+arg6+10*arg5+1000*arg2+100*arg4 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg6+n3, arg9'=arg9P8, (-1+n3 >= 0 /\ arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ 1-arg6-n3+arg7 > 0), cost: 1000*arg2*n3+100*n3*arg4+arg6*n3+5/2*n3+10*arg5*n3+1/2*n3^2 Applied instantiation Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg6+n3, arg9'=arg9P8, (-1+n3 >= 0 /\ arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0 /\ 1-arg6-n3+arg7 > 0), cost: 1000*arg2*n3+100*n3*arg4+arg6*n3+5/2*n3+10*arg5*n3+1/2*n3^2 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg7, arg9'=arg9P8, (1 > 0 /\ arg1P8 > 0 /\ -1-arg6+arg7 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: -5/2*arg6-10*arg5*(arg6-arg7)+1/2*(arg6-arg7)^2-1000*arg2*(arg6-arg7)-arg6*(arg6-arg7)+5/2*arg7-100*arg4*(arg6-arg7) Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg7, arg9'=arg9P8, (1 > 0 /\ arg1P8 > 0 /\ -1-arg6+arg7 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: -5/2*arg6-10*arg5*(arg6-arg7)+1/2*(arg6-arg7)^2-1000*arg2*(arg6-arg7)-arg6*(arg6-arg7)+5/2*arg7-100*arg4*(arg6-arg7) New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -1-arg6+arg7 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: -5/2*arg6-10*arg5*(arg6-arg7)+1/2*(arg6-arg7)^2-1000*arg2*(arg6-arg7)-arg6*(arg6-arg7)+5/2*arg7-100*arg4*(arg6-arg7) Applied deletion Removed the following rules: 26 Accelerated simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 28: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -1-arg6+arg7 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: -5/2*arg6-10*arg5*(arg6-arg7)+1/2*(arg6-arg7)^2-1000*arg2*(arg6-arg7)-arg6*(arg6-arg7)+5/2*arg7-100*arg4*(arg6-arg7) 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 Second rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg6'=arg7, arg9'=arg9P8, (arg1P8 > 0 /\ -1-arg6+arg7 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ 1+arg6 > 0 /\ arg4 >= 0), cost: -5/2*arg6-10*arg5*(arg6-arg7)+1/2*(arg6-arg7)^2-1000*arg2*(arg6-arg7)-arg6*(arg6-arg7)+5/2*arg7-100*arg4*(arg6-arg7) New rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 1+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 Applied deletion Removed the following rules: 28 Chained accelerated rules with incoming rules Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 29: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 1+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 17: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Eliminating location f422_0_main_GE by chaining: Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P5, arg6'=0, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P5, (arg5 >= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 1 Second rule: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -arg1P5+arg1P6 <= 0 /\ arg4 >= 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P5 > 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -arg1P5+arg1P6 <= 0 /\ arg4 >= 0), cost: 2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -arg1P5+arg1P6 <= 0 /\ arg4 >= 0), cost: 2 Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg1'=arg1P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, arg7'=4*arg5+2*arg2+3*arg4, arg9'=arg9P8, (arg1P8 > 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 1+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 Second rule: f422_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg8, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ -arg6+arg7 <= 0), cost: 1 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (0 <= 0 /\ -arg1P8+arg1P6 <= 0 /\ arg1P8 > 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (0 <= 0 /\ -arg1P8+arg1P6 <= 0 /\ arg1P8 > 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1P8+arg1P6 <= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 Applied deletion Removed the following rules: 16 17 29 Eliminated locations on tree-shaped paths Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 30: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -arg1P5+arg1P6 <= 0 /\ arg4 >= 0), cost: 2 31: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1P8+arg1P6 <= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -arg1P5+arg1P6 <= 0 /\ arg4 >= 0), cost: 2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (-arg1P8+arg1P6 <= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1+arg1P8 <= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 Simplified simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 32: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 2 33: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied acceleration Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg4 >= 0), cost: 2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-n7+arg5, arg7'=arg7P6, arg9'=arg9P6, (-1+n7 >= 0 /\ 1-n7+arg5 >= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2*n7 Applied instantiation Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-n7+arg5, arg7'=arg7P6, arg9'=arg9P6, (-1+n7 >= 0 /\ 1-n7+arg5 >= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2*n7 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (0 >= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2+2*arg5 Applied acceleration Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1+arg5, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5*(4*arg5+2*arg2+3*arg4)+100*(4*arg5+2*arg2+3*arg4)*arg4+10*arg5+1/2*(4*arg5+2*arg2+3*arg4)^2+5*arg2+15/2*arg4+1000*(4*arg5+2*arg2+3*arg4)*arg2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-n9+arg5, arg7'=arg7P6, arg9'=arg9P6, (3-4*n9+4*arg5+2*arg2+3*arg4 >= 0 /\ 1-n9+arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ -1+n9 >= 0 /\ arg4 >= 0), cost: 2019*n9*arg2-29*n9^2+442*n9*arg5*arg4+16*n9^3-48*n9^2*arg5+15*n9+2002*n9*arg2^2-221*n9^2*arg4+457/2*n9*arg4+4028*n9*arg5*arg2+48*n9*arg5^2+3206*n9*arg2*arg4+58*n9*arg5+609/2*n9*arg4^2-2014*n9^2*arg2 Applied instantiation Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-n9+arg5, arg7'=arg7P6, arg9'=arg9P6, (3-4*n9+4*arg5+2*arg2+3*arg4 >= 0 /\ 1-n9+arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ -1+n9 >= 0 /\ arg4 >= 0), cost: 2019*n9*arg2-29*n9^2+442*n9*arg5*arg4+16*n9^3-48*n9^2*arg5+15*n9+2002*n9*arg2^2-221*n9^2*arg4+457/2*n9*arg4+4028*n9*arg5*arg2+48*n9*arg5^2+3206*n9*arg2*arg4+58*n9*arg5+609/2*n9*arg4^2-2014*n9^2*arg2 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (0 >= 0 /\ arg5 >= 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 15+58*(1+arg5)*arg5+3206*(1+arg5)*arg2*arg4+4028*(1+arg5)*arg5*arg2-2014*(1+arg5)^2*arg2+609/2*(1+arg5)*arg4^2+457/2*(1+arg5)*arg4+16*(1+arg5)^3+48*(1+arg5)*arg5^2-29*(1+arg5)^2+15*arg5+442*(1+arg5)*arg5*arg4-221*(1+arg5)^2*arg4+2002*(1+arg5)*arg2^2+2019*(1+arg5)*arg2-48*(1+arg5)^2*arg5 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (0 >= 0 /\ arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2+2*arg5 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2+2*arg5 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (0 >= 0 /\ arg5 >= 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 15+58*(1+arg5)*arg5+3206*(1+arg5)*arg2*arg4+4028*(1+arg5)*arg5*arg2-2014*(1+arg5)^2*arg2+609/2*(1+arg5)*arg4^2+457/2*(1+arg5)*arg4+16*(1+arg5)^3+48*(1+arg5)*arg5^2-29*(1+arg5)^2+15*arg5+442*(1+arg5)*arg5*arg4-221*(1+arg5)^2*arg4+2002*(1+arg5)*arg2^2+2019*(1+arg5)*arg2-48*(1+arg5)^2*arg5 New rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 15+58*(1+arg5)*arg5+3206*(1+arg5)*arg2*arg4+4028*(1+arg5)*arg5*arg2-2014*(1+arg5)^2*arg2+609/2*(1+arg5)*arg4^2+457/2*(1+arg5)*arg4+16*(1+arg5)^3+48*(1+arg5)*arg5^2-29*(1+arg5)^2+15*arg5+442*(1+arg5)*arg5*arg4-221*(1+arg5)^2*arg4+2002*(1+arg5)*arg2^2+2019*(1+arg5)*arg2-48*(1+arg5)^2*arg5 Applied deletion Removed the following rules: 32 33 Accelerated simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 36: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2+2*arg5 37: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 15+58*(1+arg5)*arg5+3206*(1+arg5)*arg2*arg4+4028*(1+arg5)*arg5*arg2-2014*(1+arg5)^2*arg2+609/2*(1+arg5)*arg4^2+457/2*(1+arg5)*arg4+16*(1+arg5)^3+48*(1+arg5)*arg5^2-29*(1+arg5)^2+15*arg5+442*(1+arg5)*arg5*arg4-221*(1+arg5)^2*arg4+2002*(1+arg5)*arg2^2+2019*(1+arg5)*arg2-48*(1+arg5)^2*arg5 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 Second rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ -4*arg5-2*arg2-3*arg4 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 2+2*arg5 New rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-7*arg3-6*arg2 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 3+2*arg3+2*arg2 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 Second rule: f292_0_main_LT -> f292_0_main_LT : arg1'=arg1P6, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg9'=arg9P6, (arg5 >= 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg1P6 > 0 /\ arg2 >= 0 /\ arg1-arg1P6 >= 0 /\ arg4 >= 0), cost: 15+58*(1+arg5)*arg5+3206*(1+arg5)*arg2*arg4+4028*(1+arg5)*arg5*arg2-2014*(1+arg5)^2*arg2+609/2*(1+arg5)*arg4^2+457/2*(1+arg5)*arg4+16*(1+arg5)^3+48*(1+arg5)*arg5^2-29*(1+arg5)^2+15*arg5+442*(1+arg5)*arg5*arg4-221*(1+arg5)^2*arg4+2002*(1+arg5)*arg2^2+2019*(1+arg5)*arg2-48*(1+arg5)^2*arg5 New rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 16+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 Applied deletion Removed the following rules: 36 37 Chained accelerated rules with incoming rules Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, arg5'=arg3+arg2, arg7'=arg7P3, arg4'=arg3, arg9'=arg9P3, (arg1P3 > 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 1 38: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-7*arg3-6*arg2 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 3+2*arg3+2*arg2 39: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 16+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 15: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Eliminating location f292_0_main_LT by chaining: Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-7*arg3-6*arg2 >= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 3+2*arg3+2*arg2 Second rule: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 New rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (1 > 0 /\ -7*arg3-6*arg2 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg1P4 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 4+2*arg3+2*arg2 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (1 > 0 /\ -7*arg3-6*arg2 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ arg1P4 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 4+2*arg3+2*arg2 New rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (-7*arg3-6*arg2 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P4 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 4+2*arg3+2*arg2 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg1'=arg1P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg9'=arg9P6, (-arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 16+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 Second rule: f292_0_main_LT -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg9'=arg9P4, (-arg1+arg1P4 <= 0 /\ -arg5 > 0 /\ arg1P4 > 0), cost: 1 New rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (1 > 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 17+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (1 > 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 17+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 New rule: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (-arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 17+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 Applied deletion Removed the following rules: 14 15 38 39 Eliminated locations on tree-shaped paths Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg1'=arg1P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg9'=arg9P1, (arg3-arg2 > 0 /\ arg1P1 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg1'=arg1P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg9'=arg9P2, (arg1-arg1P2 >= 0 /\ arg1P2 > 0 /\ 1+arg5 > 0 /\ arg3-arg4 >= 0), cost: 1 40: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (-7*arg3-6*arg2 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P4 > 0 /\ arg3+arg2 >= 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0), cost: 4+2*arg3+2*arg2 41: f255_0_main_GE -> f255_0_main_GE : arg1'=arg1P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg9'=arg9P4, (-arg1P6+arg1P4 <= 0 /\ -arg1+arg1P6 <= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ -arg3+arg4 > 0 /\ 1+arg3 > 0 /\ -1+3*arg3+2*arg2 >= 0), cost: 17+457/2*arg3*(1+arg3+arg2)-48*(arg3+arg2)*(1+arg3+arg2)^2+15*arg3+16*(1+arg3+arg2)^3+58*(arg3+arg2)*(1+arg3+arg2)-29*(1+arg3+arg2)^2+2002*arg2^2*(1+arg3+arg2)+3206*arg3*arg2*(1+arg3+arg2)-221*arg3*(1+arg3+arg2)^2+48*(arg3+arg2)^2*(1+arg3+arg2)+4028*arg2*(arg3+arg2)*(1+arg3+arg2)+2019*arg2*(1+arg3+arg2)+442*arg3*(arg3+arg2)*(1+arg3+arg2)+15*arg2+609/2*arg3^2*(1+arg3+arg2)-2014*arg2*(1+arg3+arg2)^2 24: __init -> f101_0_main_GE : arg1'=arg1P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg9'=arg9P0, (-arg1P10+arg1P0 <= 0 /\ 1+arg2P10 > 0 /\ arg1P0 > 0), cost: 2 Computing asymptotic complexity Performed chaining from the start location: Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0 /export/starexec/sandbox/solver/bin/starexec_run_loat_nonterm_proofout: line 4: 30324 Aborted (core dumped) ./loat-static --plain --proof-level 1 --timeout $TO --nonterm $1 2> /dev/null