WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg3P0, arg8'=arg8P0, (arg2-arg3P0 == 0 /\ -arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 1: f101_0_main_GE -> f255_0_main_GE : arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=arg3P1, arg8'=arg8P1, (2*arg2-arg4P1 == 0 /\ arg1P1 > 0 /\ arg1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2P1+arg2 == 0 /\ -arg3P1 == 0 /\ -arg2+arg3 > 0 /\ -arg5P1+arg3 == 0), cost: 1 2: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg2P2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3P2, arg8'=arg8P2, (1+arg5 > 0 /\ 1+arg2-arg2P2 == 0 /\ arg1P2 > 0 /\ arg5-arg3P2 == 0 /\ arg1 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 3: f255_0_main_GE -> f292_0_main_LT : arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg6P3, arg3'=arg3P3, arg8'=arg8P3, (arg4-arg3P3 == 0 /\ -arg4P3+arg3 == 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg2-arg2P3 == 0 /\ arg2+arg3-arg5P3 == 0 /\ arg5-arg6P3 == 0 /\ arg1P3 > 0), cost: 1 4: f292_0_main_LT -> f255_0_main_GE : arg5'=arg5P4, arg2'=arg2P4, arg7'=arg7P4, arg4'=arg4P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg3P4, arg8'=arg8P4, (arg5 < 0 /\ -arg4P4+arg3 == 0 /\ -arg1+arg1P4 <= 0 /\ arg1 > 0 /\ arg6-arg5P4 == 0 /\ arg1P4 > 0 /\ 1+arg4-arg3P4 == 0 /\ arg2-arg2P4 == 0), cost: 1 5: f292_0_main_LT -> f422_0_main_GE : arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, arg1'=arg1P5, arg9'=arg9P5, arg6'=arg6P5, arg3'=arg3P5, arg8'=arg8P5, (-arg4P5+arg4 == 0 /\ 1+arg5 > 0 /\ -arg2P5+arg2 == 0 /\ 2*arg2 >= 0 /\ 4*arg5+2*arg2+3*arg4-arg7P5 == 0 /\ -arg6P5 == 0 /\ arg1 > 0 /\ 3*arg4 >= 0 /\ 2*arg2+3*arg4 >= 0 /\ arg1P5 > 0 /\ 4*arg5 >= 0 /\ -arg3P5+arg3 == 0 /\ arg5-arg5P5 == 0 /\ -arg1+arg1P5 <= 0 /\ arg6-arg8P5 == 0), cost: 1 6: f422_0_main_GE -> f292_0_main_LT : arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6P6, arg3'=arg3P6, arg8'=arg8P6, (-1+arg5-arg5P6 == 0 /\ arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg3-arg3P6 == 0 /\ arg1 > 0 /\ arg2-arg2P6 == 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg4P6 == 0 /\ -arg6P6+arg8 == 0), cost: 1 7: f422_0_main_GE -> f448_0_main_LT : arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, arg1'=arg1P7, arg9'=arg9P7, arg6'=arg6P7, arg3'=arg3P7, arg8'=arg8P7, (arg2-arg2P7 == 0 /\ arg1P7 > 0 /\ arg7-arg6 > 0 /\ 10*arg5+1000*arg2-arg8P7+100*arg4+arg6 == 0 /\ 1000*arg2+100*arg4 >= 0 /\ 10*arg5+1000*arg2+100*arg4 >= 0 /\ 1+arg6 > 0 /\ arg7-arg6P7 == 0 /\ arg1 > 0 /\ -arg3P7+arg3 == 0 /\ -arg9P7+arg8 == 0 /\ arg4-arg4P7 == 0 /\ arg1P7-arg1 <= 0 /\ -arg7P7+arg6 == 0 /\ 100*arg4 >= 0 /\ -arg5P7+arg5 == 0 /\ 1000*arg2 >= 0 /\ 10*arg5 >= 0), cost: 1 8: f448_0_main_LT -> f422_0_main_GE : arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, arg1'=arg1P8, arg9'=arg9P8, arg6'=arg6P8, arg3'=arg3P8, arg8'=arg8P8, (-arg3P8+arg3 == 0 /\ -arg1+arg1P8 <= 0 /\ arg2-arg2P8 == 0 /\ 1+arg7-arg6P8 == 0 /\ -arg7P8+arg6 == 0 /\ arg5-arg5P8 == 0 /\ -arg4P8+arg4 == 0 /\ arg1 > 0 /\ -arg8P8+arg9 == 0 /\ arg1P8 > 0 /\ arg8 < 0), cost: 1 9: f448_0_main_LT -> f448_0_main_LT : arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, arg1'=arg1P9, arg9'=arg9P9, arg6'=arg6P9, arg3'=arg3P9, arg8'=arg8P9, (-arg3P9+arg3 == 0 /\ -arg6P9+arg6 == 0 /\ arg9-arg9P9 == 0 /\ -arg1+arg1P9 <= 0 /\ arg7-arg7P9 == 0 /\ arg1 > 0 /\ -arg4P9+arg4 == 0 /\ arg1P9 > 0 /\ 1+arg8 > 0 /\ -arg2P9+arg2 == 0 /\ -1-arg8P9+arg8 == 0 /\ arg5-arg5P9 == 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg1'=arg1P10, arg9'=arg9P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg5'=arg5P0, arg2'=arg2P0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg3P0, arg8'=arg8P0, (arg2-arg3P0 == 0 /\ -arg2P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, (1+arg2 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 Applied preprocessing Original rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg5P1, arg2'=arg2P1, arg7'=arg7P1, arg4'=arg4P1, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=arg3P1, arg8'=arg8P1, (2*arg2-arg4P1 == 0 /\ arg1P1 > 0 /\ arg1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2P1+arg2 == 0 /\ -arg3P1 == 0 /\ -arg2+arg3 > 0 /\ -arg5P1+arg3 == 0), cost: 1 New rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 Applied preprocessing Original rule: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg2P2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3P2, arg8'=arg8P2, (1+arg5 > 0 /\ 1+arg2-arg2P2 == 0 /\ arg1P2 > 0 /\ arg5-arg3P2 == 0 /\ arg1 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 New rule: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 Applied preprocessing Original rule: f255_0_main_GE -> f292_0_main_LT : arg5'=arg5P3, arg2'=arg2P3, arg7'=arg7P3, arg4'=arg4P3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg6P3, arg3'=arg3P3, arg8'=arg8P3, (arg4-arg3P3 == 0 /\ -arg4P3+arg3 == 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg2-arg2P3 == 0 /\ arg2+arg3-arg5P3 == 0 /\ arg5-arg6P3 == 0 /\ arg1P3 > 0), cost: 1 New rule: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 Applied preprocessing Original rule: f292_0_main_LT -> f255_0_main_GE : arg5'=arg5P4, arg2'=arg2P4, arg7'=arg7P4, arg4'=arg4P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg3P4, arg8'=arg8P4, (arg5 < 0 /\ -arg4P4+arg3 == 0 /\ -arg1+arg1P4 <= 0 /\ arg1 > 0 /\ arg6-arg5P4 == 0 /\ arg1P4 > 0 /\ 1+arg4-arg3P4 == 0 /\ arg2-arg2P4 == 0), cost: 1 New rule: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 Applied preprocessing Original rule: f292_0_main_LT -> f422_0_main_GE : arg5'=arg5P5, arg2'=arg2P5, arg7'=arg7P5, arg4'=arg4P5, arg1'=arg1P5, arg9'=arg9P5, arg6'=arg6P5, arg3'=arg3P5, arg8'=arg8P5, (-arg4P5+arg4 == 0 /\ 1+arg5 > 0 /\ -arg2P5+arg2 == 0 /\ 2*arg2 >= 0 /\ 4*arg5+2*arg2+3*arg4-arg7P5 == 0 /\ -arg6P5 == 0 /\ arg1 > 0 /\ 3*arg4 >= 0 /\ 2*arg2+3*arg4 >= 0 /\ arg1P5 > 0 /\ 4*arg5 >= 0 /\ -arg3P5+arg3 == 0 /\ arg5-arg5P5 == 0 /\ -arg1+arg1P5 <= 0 /\ arg6-arg8P5 == 0), cost: 1 New rule: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 Applied preprocessing Original rule: f422_0_main_GE -> f292_0_main_LT : arg5'=arg5P6, arg2'=arg2P6, arg7'=arg7P6, arg4'=arg4P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6P6, arg3'=arg3P6, arg8'=arg8P6, (-1+arg5-arg5P6 == 0 /\ arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg3-arg3P6 == 0 /\ arg1 > 0 /\ arg2-arg2P6 == 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg4P6 == 0 /\ -arg6P6+arg8 == 0), cost: 1 New rule: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 Applied preprocessing Original rule: f422_0_main_GE -> f448_0_main_LT : arg5'=arg5P7, arg2'=arg2P7, arg7'=arg7P7, arg4'=arg4P7, arg1'=arg1P7, arg9'=arg9P7, arg6'=arg6P7, arg3'=arg3P7, arg8'=arg8P7, (arg2-arg2P7 == 0 /\ arg1P7 > 0 /\ arg7-arg6 > 0 /\ 10*arg5+1000*arg2-arg8P7+100*arg4+arg6 == 0 /\ 1000*arg2+100*arg4 >= 0 /\ 10*arg5+1000*arg2+100*arg4 >= 0 /\ 1+arg6 > 0 /\ arg7-arg6P7 == 0 /\ arg1 > 0 /\ -arg3P7+arg3 == 0 /\ -arg9P7+arg8 == 0 /\ arg4-arg4P7 == 0 /\ arg1P7-arg1 <= 0 /\ -arg7P7+arg6 == 0 /\ 100*arg4 >= 0 /\ -arg5P7+arg5 == 0 /\ 1000*arg2 >= 0 /\ 10*arg5 >= 0), cost: 1 New rule: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 Applied preprocessing Original rule: f448_0_main_LT -> f422_0_main_GE : arg5'=arg5P8, arg2'=arg2P8, arg7'=arg7P8, arg4'=arg4P8, arg1'=arg1P8, arg9'=arg9P8, arg6'=arg6P8, arg3'=arg3P8, arg8'=arg8P8, (-arg3P8+arg3 == 0 /\ -arg1+arg1P8 <= 0 /\ arg2-arg2P8 == 0 /\ 1+arg7-arg6P8 == 0 /\ -arg7P8+arg6 == 0 /\ arg5-arg5P8 == 0 /\ -arg4P8+arg4 == 0 /\ arg1 > 0 /\ -arg8P8+arg9 == 0 /\ arg1P8 > 0 /\ arg8 < 0), cost: 1 New rule: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 Applied preprocessing Original rule: f448_0_main_LT -> f448_0_main_LT : arg5'=arg5P9, arg2'=arg2P9, arg7'=arg7P9, arg4'=arg4P9, arg1'=arg1P9, arg9'=arg9P9, arg6'=arg6P9, arg3'=arg3P9, arg8'=arg8P9, (-arg3P9+arg3 == 0 /\ -arg6P9+arg6 == 0 /\ arg9-arg9P9 == 0 /\ -arg1+arg1P9 <= 0 /\ arg7-arg7P9 == 0 /\ arg1 > 0 /\ -arg4P9+arg4 == 0 /\ arg1P9 > 0 /\ 1+arg8 > 0 /\ -arg2P9+arg2 == 0 /\ -1-arg8P9+arg8 == 0 /\ arg5-arg5P9 == 0), cost: 1 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (-arg1+arg1P9 <= 0 /\ arg1P9 > 0 /\ 1+arg8 > 0), cost: 1 Simplified rules Start location: __init 11: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, (1+arg2 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 19: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 20: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (-arg1+arg1P9 <= 0 /\ arg1P9 > 0 /\ 1+arg8 > 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg1'=arg1P10, arg9'=arg9P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, TRUE, cost: 1 Applied acceleration Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1+arg8, (-arg1+arg1P9 <= 0 /\ arg1P9 > 0 /\ 1+arg8 > 0), cost: 1 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-n+arg8, (arg1-arg1P9 >= 0 /\ -1+n >= 0 /\ arg1P9 > 0 /\ 2-n+arg8 > 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_fLnhEe.txt Applied instantiation Original rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-n+arg8, (arg1-arg1P9 >= 0 /\ -1+n >= 0 /\ arg1P9 > 0 /\ 2-n+arg8 > 0), cost: n New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (1 > 0 /\ arg1-arg1P9 >= 0 /\ arg1P9 > 0 /\ arg8 >= 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 /\ arg1P9 > 0 /\ arg8 >= 0), cost: 1+arg8 New rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg1P9 > 0 /\ arg8 >= 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 : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, (1+arg2 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 19: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 22: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg1P9 > 0 /\ arg8 >= 0), cost: 1+arg8 10: __init -> f1_0_main_ConstantStackPush : arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg1'=arg1P10, arg9'=arg9P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, TRUE, cost: 1 Applied chaining First rule: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 Second rule: f448_0_main_LT -> f448_0_main_LT : arg1'=arg1P9, arg8'=-1, (arg1-arg1P9 >= 0 /\ arg1P9 > 0 /\ arg8 >= 0), cost: 1+arg8 New rule: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P9, arg9'=arg8, arg6'=arg7, arg8'=-1, (arg5 >= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 2+10*arg5+1000*arg2+100*arg4+arg6 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 : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, (1+arg2 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 23: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P9, arg9'=arg8, arg6'=arg7, arg8'=-1, (arg5 >= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 2+10*arg5+1000*arg2+100*arg4+arg6 19: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 10: __init -> f1_0_main_ConstantStackPush : arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg1'=arg1P10, arg9'=arg9P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg5'=arg5P10, arg2'=arg2P10, arg7'=arg7P10, arg4'=arg4P10, arg1'=arg1P10, arg9'=arg9P10, arg6'=arg6P10, arg3'=arg3P10, arg8'=arg8P10, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2, arg8'=arg8P0, (1+arg2 > 0 /\ arg1P0 > 0 /\ -arg1+arg1P0 <= 0), cost: 1 New rule: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+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 : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 18: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P7, arg9'=arg8, arg6'=arg7, arg8'=10*arg5+1000*arg2+100*arg4+arg6, (arg5 >= 0 /\ arg1P7 > 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P7-arg1 <= 0), cost: 1 23: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P9, arg9'=arg8, arg6'=arg7, arg8'=-1, (arg5 >= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 2+10*arg5+1000*arg2+100*arg4+arg6 19: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Eliminating location f448_0_main_LT by chaining: Applied chaining First rule: f422_0_main_GE -> f448_0_main_LT : arg7'=arg6, arg1'=arg1P9, arg9'=arg8, arg6'=arg7, arg8'=-1, (arg5 >= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0), cost: 2+10*arg5+1000*arg2+100*arg4+arg6 Second rule: f448_0_main_LT -> f422_0_main_GE : arg7'=arg6, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg7, arg8'=arg9, (-arg1+arg1P8 <= 0 /\ -arg8 > 0 /\ arg1P8 > 0), cost: 1 New rule: f422_0_main_GE -> f422_0_main_GE : arg7'=arg7, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, arg8'=arg8, (arg5 >= 0 /\ 1 > 0 /\ arg2 >= 0 /\ -arg1P9+arg1P8 <= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg7'=arg7, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, arg8'=arg8, (arg5 >= 0 /\ 1 > 0 /\ arg2 >= 0 /\ -arg1P9+arg1P8 <= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P9 > 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 New rule: f422_0_main_GE -> f422_0_main_GE : arg7'=arg7, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, arg8'=arg8, (arg5 >= 0 /\ arg2 >= 0 /\ -arg1P9+arg1P8 <= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 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 : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 25: f422_0_main_GE -> f422_0_main_GE : arg7'=arg7, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, arg8'=arg8, (arg5 >= 0 /\ arg2 >= 0 /\ -arg1P9+arg1P8 <= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg7'=arg7, arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, arg8'=arg8, (arg5 >= 0 /\ arg2 >= 0 /\ -arg1P9+arg1P8 <= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 Simplified simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 26: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied acceleration Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=1+arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg7-arg6 > 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ arg1P8 > 0), cost: 3+10*arg5+1000*arg2+100*arg4+arg6 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg6+n0, (arg5 >= 0 /\ 1+arg7-arg6-n0 > 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+n0 >= 0 /\ arg1P8 > 0), cost: 10*arg5*n0+1/2*n0^2+5/2*n0+arg6*n0+100*arg4*n0+1000*arg2*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_nMgOMC.txt Applied instantiation Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg6+n0, (arg5 >= 0 /\ 1+arg7-arg6-n0 > 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+n0 >= 0 /\ arg1P8 > 0), cost: 10*arg5*n0+1/2*n0^2+5/2*n0+arg6*n0+100*arg4*n0+1000*arg2*n0 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg7, (arg5 >= 0 /\ 1 > 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+arg7-arg6 >= 0 /\ arg1P8 > 0), cost: 1000*arg2*(arg7-arg6)+1/2*(arg7-arg6)^2+5/2*arg7+(arg7-arg6)*arg6-5/2*arg6+10*arg5*(arg7-arg6)+100*(arg7-arg6)*arg4 Applied simplification Original rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg7, (arg5 >= 0 /\ 1 > 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+arg7-arg6 >= 0 /\ arg1P8 > 0), cost: 1000*arg2*(arg7-arg6)+1/2*(arg7-arg6)^2+5/2*arg7+(arg7-arg6)*arg6-5/2*arg6+10*arg5*(arg7-arg6)+100*(arg7-arg6)*arg4 New rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg7, (arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+arg7-arg6 >= 0 /\ arg1P8 > 0), cost: 1000*arg2*(arg7-arg6)+1/2*(arg7-arg6)^2+5/2*arg7+(arg7-arg6)*arg6-5/2*arg6+10*arg5*(arg7-arg6)+100*(arg7-arg6)*arg4 Applied deletion Removed the following rules: 26 Accelerated simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 28: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg7, (arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+arg7-arg6 >= 0 /\ arg1P8 > 0), cost: 1000*arg2*(arg7-arg6)+1/2*(arg7-arg6)^2+5/2*arg7+(arg7-arg6)*arg6-5/2*arg6+10*arg5*(arg7-arg6)+100*(arg7-arg6)*arg4 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 Second rule: f422_0_main_GE -> f422_0_main_GE : arg1'=arg1P8, arg9'=arg9P8, arg6'=arg7, (arg5 >= 0 /\ arg2 >= 0 /\ arg1-arg1P8 >= 0 /\ arg4 >= 0 /\ 1+arg6 > 0 /\ -1+arg7-arg6 >= 0 /\ arg1P8 > 0), cost: 1000*arg2*(arg7-arg6)+1/2*(arg7-arg6)^2+5/2*arg7+(arg7-arg6)*arg6-5/2*arg6+10*arg5*(arg7-arg6)+100*(arg7-arg6)*arg4 New rule: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P8, arg9'=arg9P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P8 > 0), cost: 1+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 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 : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 16: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 29: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P8, arg9'=arg9P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P8 > 0), cost: 1+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 17: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Eliminating location f422_0_main_GE by chaining: Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P5, arg9'=arg9P5, arg6'=0, arg8'=arg6, (arg5 >= 0 /\ arg2 >= 0 /\ arg4 >= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0), cost: 1 Second rule: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6-arg1P5 <= 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P5 > 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6-arg1P5 <= 0), cost: 2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6-arg1P5 <= 0), cost: 2 Applied chaining First rule: f292_0_main_LT -> f422_0_main_GE : arg7'=4*arg5+2*arg2+3*arg4, arg1'=arg1P8, arg9'=arg9P8, arg6'=4*arg5+2*arg2+3*arg4, arg8'=arg6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P8 > 0), cost: 1+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 Second rule: f422_0_main_GE -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg8, arg8'=arg8P6, (arg7-arg6 <= 0 /\ arg1P6 > 0 /\ arg1P6-arg1 <= 0), cost: 1 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (0 <= 0 /\ arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg1P6-arg1P8 <= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P8 > 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (0 <= 0 /\ arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg1P6-arg1P8 <= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P8 > 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg1P6-arg1P8 <= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 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 : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 30: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6-arg1P5 <= 0), cost: 2 31: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg1P6-arg1P8 <= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ -arg1+arg1P5 <= 0 /\ arg1P6-arg1P5 <= 0), cost: 2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P6-arg1 <= 0), cost: 2 Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg6, arg8'=arg8P6, (arg5 >= 0 /\ -arg1+arg1P8 <= 0 /\ arg2 >= 0 /\ arg1P6-arg1P8 <= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P6-arg1 <= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 Simplified simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 32: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P6-arg1 <= 0), cost: 2 33: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P6-arg1 <= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied acceleration Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+4*arg5+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ arg1P6-arg1 <= 0), cost: 2+10*arg5+10*arg5*(4*arg5+2*arg2+3*arg4)+5*arg2+15/2*arg4+100*arg4*(4*arg5+2*arg2+3*arg4)+1000*arg2*(4*arg5+2*arg2+3*arg4)+1/2*(4*arg5+2*arg2+3*arg4)^2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=arg5-n2, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (-1+n2 >= 0 /\ arg2 >= 0 /\ 1+arg5-n2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 3+4*arg5+2*arg2+3*arg4-4*n2 >= 0 /\ -arg1P6+arg1 >= 0), cost: 16*n2^3+4028*arg5*arg2*n2+442*arg5*arg4*n2-2014*arg2*n2^2+48*arg5^2*n2-29*n2^2+3206*arg2*arg4*n2-221*arg4*n2^2+457/2*arg4*n2+2019*arg2*n2+15*n2+609/2*arg4^2*n2-48*arg5*n2^2+2002*arg2^2*n2+58*arg5*n2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_kpiGLO.txt Applied instantiation Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=arg5-n2, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (-1+n2 >= 0 /\ arg2 >= 0 /\ 1+arg5-n2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 3+4*arg5+2*arg2+3*arg4-4*n2 >= 0 /\ -arg1P6+arg1 >= 0), cost: 16*n2^3+4028*arg5*arg2*n2+442*arg5*arg4*n2-2014*arg2*n2^2+48*arg5^2*n2-29*n2^2+3206*arg2*arg4*n2-221*arg4*n2^2+457/2*arg4*n2+2019*arg2*n2+15*n2+609/2*arg4^2*n2-48*arg5*n2^2+2002*arg2^2*n2+58*arg5*n2 New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (0 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1P6+arg1 >= 0), cost: 15+15*arg5+3206*arg2*(1+arg5)*arg4+609/2*(1+arg5)*arg4^2-48*arg5*(1+arg5)^2+2002*arg2^2*(1+arg5)+442*arg5*(1+arg5)*arg4+58*arg5*(1+arg5)+457/2*(1+arg5)*arg4-29*(1+arg5)^2-2014*arg2*(1+arg5)^2+48*arg5^2*(1+arg5)-221*(1+arg5)^2*arg4+4028*arg5*arg2*(1+arg5)+16*(1+arg5)^3+2019*arg2*(1+arg5) Applied simplification Original rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (0 >= 0 /\ arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1P6+arg1 >= 0), cost: 15+15*arg5+3206*arg2*(1+arg5)*arg4+609/2*(1+arg5)*arg4^2-48*arg5*(1+arg5)^2+2002*arg2^2*(1+arg5)+442*arg5*(1+arg5)*arg4+58*arg5*(1+arg5)+457/2*(1+arg5)*arg4-29*(1+arg5)^2-2014*arg2*(1+arg5)^2+48*arg5^2*(1+arg5)-221*(1+arg5)^2*arg4+4028*arg5*arg2*(1+arg5)+16*(1+arg5)^3+2019*arg2*(1+arg5) New rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1P6+arg1 >= 0), cost: 15+15*arg5+3206*arg2*(1+arg5)*arg4+609/2*(1+arg5)*arg4^2-48*arg5*(1+arg5)^2+2002*arg2^2*(1+arg5)+442*arg5*(1+arg5)*arg4+58*arg5*(1+arg5)+457/2*(1+arg5)*arg4-29*(1+arg5)^2-2014*arg2*(1+arg5)^2+48*arg5^2*(1+arg5)-221*(1+arg5)^2*arg4+4028*arg5*arg2*(1+arg5)+16*(1+arg5)^3+2019*arg2*(1+arg5) Applied deletion Removed the following rules: 33 Accelerated simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 32: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P6-arg1 <= 0), cost: 2 35: f292_0_main_LT -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1P6+arg1 >= 0), cost: 15+15*arg5+3206*arg2*(1+arg5)*arg4+609/2*(1+arg5)*arg4^2-48*arg5*(1+arg5)^2+2002*arg2^2*(1+arg5)+442*arg5*(1+arg5)*arg4+58*arg5*(1+arg5)+457/2*(1+arg5)*arg4-29*(1+arg5)^2-2014*arg2*(1+arg5)^2+48*arg5^2*(1+arg5)-221*(1+arg5)^2*arg4+4028*arg5*arg2*(1+arg5)+16*(1+arg5)^3+2019*arg2*(1+arg5) 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 Second rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1+arg5, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ arg4 >= 0 /\ 4*arg5+2*arg2+3*arg4 <= 0 /\ arg1P6-arg1 <= 0), cost: 2 New rule: f255_0_main_GE -> f292_0_main_LT : arg5'=-1+arg2+arg3, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (arg1P6 > 0 /\ arg2+arg3 >= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 3 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 Second rule: f292_0_main_LT -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg1'=arg1P6, arg9'=arg9P6, arg8'=arg8P6, (arg5 >= 0 /\ arg2 >= 0 /\ arg1P6 > 0 /\ -1+2*arg2+3*arg4 >= 0 /\ arg4 >= 0 /\ -arg1P6+arg1 >= 0), cost: 15+15*arg5+3206*arg2*(1+arg5)*arg4+609/2*(1+arg5)*arg4^2-48*arg5*(1+arg5)^2+2002*arg2^2*(1+arg5)+442*arg5*(1+arg5)*arg4+58*arg5*(1+arg5)+457/2*(1+arg5)*arg4-29*(1+arg5)^2-2014*arg2*(1+arg5)^2+48*arg5^2*(1+arg5)-221*(1+arg5)^2*arg4+4028*arg5*arg2*(1+arg5)+16*(1+arg5)^3+2019*arg2*(1+arg5) New rule: f255_0_main_GE -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (-1+2*arg2+3*arg3 >= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0), cost: 16+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 Applied deletion Removed the following rules: 32 35 Chained accelerated rules with incoming rules Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 14: f255_0_main_GE -> f292_0_main_LT : arg5'=arg2+arg3, arg7'=arg7P3, arg4'=arg3, arg1'=arg1P3, arg9'=arg9P3, arg6'=arg5, arg3'=arg4, arg8'=arg8P3, (-arg1+arg1P3 <= 0 /\ 1+arg2 > 0 /\ 1+arg3 > 0 /\ arg4-arg3 > 0 /\ arg1P3 > 0), cost: 1 36: f255_0_main_GE -> f292_0_main_LT : arg5'=-1+arg2+arg3, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (arg1P6 > 0 /\ arg2+arg3 >= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 3 37: f255_0_main_GE -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (-1+2*arg2+3*arg3 >= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0), cost: 16+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 15: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Eliminating location f292_0_main_LT by chaining: Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg5'=-1+arg2+arg3, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (arg1P6 > 0 /\ arg2+arg3 >= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 3 Second rule: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 New rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (1-arg2-arg3 > 0 /\ arg1P6 > 0 /\ arg2+arg3 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (1-arg2-arg3 > 0 /\ arg1P6 > 0 /\ arg2+arg3 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 New rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 Applied chaining First rule: f255_0_main_GE -> f292_0_main_LT : arg5'=-1, arg7'=arg7P6, arg4'=arg3, arg1'=arg1P6, arg9'=arg9P6, arg6'=arg5, arg3'=arg4, arg8'=arg8P6, (-1+2*arg2+3*arg3 >= 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg3 >= 0), cost: 16+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 Second rule: f292_0_main_LT -> f255_0_main_GE : arg5'=arg6, arg7'=arg7P4, arg4'=arg3, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg4, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ arg1P4 > 0 /\ -arg5 > 0), cost: 1 New rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1 > 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1 > 0 /\ arg1P6 > 0 /\ 1+arg2 > 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 New rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 Applied deletion Removed the following rules: 14 15 36 37 Eliminated locations on tree-shaped paths Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 38: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 39: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 New rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg5'=arg5, arg7'=arg7P4, arg4'=arg4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1P6+arg1P4 <= 0 /\ arg1P6-arg1 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 New rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 Simplified simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 40: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 41: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied acceleration Original rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0), cost: 17+16*(1+arg2+arg3)^3-48*(arg2+arg3)*(1+arg2+arg3)^2+4028*arg2*(arg2+arg3)*(1+arg2+arg3)+15*arg2+3206*arg2*(1+arg2+arg3)*arg3-2014*arg2*(1+arg2+arg3)^2+609/2*(1+arg2+arg3)*arg3^2-29*(1+arg2+arg3)^2+2019*arg2*(1+arg2+arg3)+457/2*(1+arg2+arg3)*arg3+58*(arg2+arg3)*(1+arg2+arg3)+442*(arg2+arg3)*(1+arg2+arg3)*arg3+48*(arg2+arg3)^2*(1+arg2+arg3)+2002*arg2^2*(1+arg2+arg3)-221*(1+arg2+arg3)^2*arg3+15*arg3 New rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg3+n5, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg4-arg3-n5 > 0 /\ -1+n5 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 3249/4*arg3^2*n5^2+12029/2*arg2*arg3^2*n5-5200/3*arg2*n5+1083/2*arg3^3*n5+9505*arg2^2*arg3*n5+12029/6*arg2*n5^3-1001/12*n5^3-1001/4*arg3^2*n5-1075/8*n5^2-503/2*arg2*n5^2+12029/2*arg2*arg3*n5^2-1075/4*arg3*n5+9505/2*arg2^2*n5^2+4032*arg2^3*n5+1083/8*n5^4+1083/2*arg3*n5^3+1037/12*n5-503*arg2*arg3*n5-1001/4*arg3*n5^2-1405/2*arg2^2*n5 Sub-proof via acceration calculus written to file:///tmp/tmpnam_DAAFLD.txt Applied instantiation Original rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg3+n5, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1+arg4-arg3-n5 > 0 /\ -1+n5 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 3249/4*arg3^2*n5^2+12029/2*arg2*arg3^2*n5-5200/3*arg2*n5+1083/2*arg3^3*n5+9505*arg2^2*arg3*n5+12029/6*arg2*n5^3-1001/12*n5^3-1001/4*arg3^2*n5-1075/8*n5^2-503/2*arg2*n5^2+12029/2*arg2*arg3*n5^2-1075/4*arg3*n5+9505/2*arg2^2*n5^2+4032*arg2^3*n5+1083/8*n5^4+1083/2*arg3*n5^3+1037/12*n5-503*arg2*arg3*n5-1001/4*arg3*n5^2-1405/2*arg2^2*n5 New rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg4, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1 > 0 /\ -1+arg4-arg3 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 1083/2*(arg4-arg3)*arg3^3-503*arg2*(arg4-arg3)*arg3-1001/4*(arg4-arg3)*arg3^2-1405/2*arg2^2*(arg4-arg3)+12029/2*arg2*(arg4-arg3)*arg3^2-1075/4*(arg4-arg3)*arg3+9505/2*arg2^2*(arg4-arg3)^2+1083/8*(arg4-arg3)^4+1037/12*arg4+4032*arg2^3*(arg4-arg3)+12029/6*arg2*(arg4-arg3)^3-1001/12*(arg4-arg3)^3-1001/4*(arg4-arg3)^2*arg3-1075/8*(arg4-arg3)^2-503/2*arg2*(arg4-arg3)^2+3249/4*(arg4-arg3)^2*arg3^2+12029/2*arg2*(arg4-arg3)^2*arg3-1037/12*arg3-5200/3*arg2*(arg4-arg3)+1083/2*(arg4-arg3)^3*arg3+9505*arg2^2*(arg4-arg3)*arg3 Applied simplification Original rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg4, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ 1 > 0 /\ -1+arg4-arg3 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 1083/2*(arg4-arg3)*arg3^3-503*arg2*(arg4-arg3)*arg3-1001/4*(arg4-arg3)*arg3^2-1405/2*arg2^2*(arg4-arg3)+12029/2*arg2*(arg4-arg3)*arg3^2-1075/4*(arg4-arg3)*arg3+9505/2*arg2^2*(arg4-arg3)^2+1083/8*(arg4-arg3)^4+1037/12*arg4+4032*arg2^3*(arg4-arg3)+12029/6*arg2*(arg4-arg3)^3-1001/12*(arg4-arg3)^3-1001/4*(arg4-arg3)^2*arg3-1075/8*(arg4-arg3)^2-503/2*arg2*(arg4-arg3)^2+3249/4*(arg4-arg3)^2*arg3^2+12029/2*arg2*(arg4-arg3)^2*arg3-1037/12*arg3-5200/3*arg2*(arg4-arg3)+1083/2*(arg4-arg3)^3*arg3+9505*arg2^2*(arg4-arg3)*arg3 New rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg4, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ -1+arg4-arg3 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 1083/2*(arg4-arg3)*arg3^3-503*arg2*(arg4-arg3)*arg3-1001/4*(arg4-arg3)*arg3^2-1405/2*arg2^2*(arg4-arg3)+12029/2*arg2*(arg4-arg3)*arg3^2-1075/4*(arg4-arg3)*arg3+9505/2*arg2^2*(arg4-arg3)^2+1083/8*(arg4-arg3)^4+1037/12*arg4+4032*arg2^3*(arg4-arg3)+12029/6*arg2*(arg4-arg3)^3-1001/12*(arg4-arg3)^3-1001/4*(arg4-arg3)^2*arg3-1075/8*(arg4-arg3)^2-503/2*arg2*(arg4-arg3)^2+3249/4*(arg4-arg3)^2*arg3^2+12029/2*arg2*(arg4-arg3)^2*arg3-1037/12*arg3-5200/3*arg2*(arg4-arg3)+1083/2*(arg4-arg3)^3*arg3+9505*arg2^2*(arg4-arg3)*arg3 Applied deletion Removed the following rules: 41 Accelerated simple loops Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 40: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=1+arg3, arg8'=arg8P4, (arg2+arg3 >= 0 /\ -arg1+arg1P4 <= 0 /\ arg4-arg3 > 0 /\ arg1P4 > 0 /\ arg3 >= 0 /\ 6*arg2+7*arg3 <= 0), cost: 4 43: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg4, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ -1+arg4-arg3 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 1083/2*(arg4-arg3)*arg3^3-503*arg2*(arg4-arg3)*arg3-1001/4*(arg4-arg3)*arg3^2-1405/2*arg2^2*(arg4-arg3)+12029/2*arg2*(arg4-arg3)*arg3^2-1075/4*(arg4-arg3)*arg3+9505/2*arg2^2*(arg4-arg3)^2+1083/8*(arg4-arg3)^4+1037/12*arg4+4032*arg2^3*(arg4-arg3)+12029/6*arg2*(arg4-arg3)^3-1001/12*(arg4-arg3)^3-1001/4*(arg4-arg3)^2*arg3-1075/8*(arg4-arg3)^2-503/2*arg2*(arg4-arg3)^2+3249/4*(arg4-arg3)^2*arg3^2+12029/2*arg2*(arg4-arg3)^2*arg3-1037/12*arg3-5200/3*arg2*(arg4-arg3)+1083/2*(arg4-arg3)^3*arg3+9505*arg2^2*(arg4-arg3)*arg3 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied chaining First rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 Second rule: f255_0_main_GE -> f255_0_main_GE : arg7'=arg7P4, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=arg4, arg8'=arg8P4, (-1+2*arg2+3*arg3 >= 0 /\ -1+arg4-arg3 >= 0 /\ 1+arg2 > 0 /\ arg1P4 > 0 /\ arg1-arg1P4 >= 0 /\ arg3 >= 0), cost: 1083/2*(arg4-arg3)*arg3^3-503*arg2*(arg4-arg3)*arg3-1001/4*(arg4-arg3)*arg3^2-1405/2*arg2^2*(arg4-arg3)+12029/2*arg2*(arg4-arg3)*arg3^2-1075/4*(arg4-arg3)*arg3+9505/2*arg2^2*(arg4-arg3)^2+1083/8*(arg4-arg3)^4+1037/12*arg4+4032*arg2^3*(arg4-arg3)+12029/6*arg2*(arg4-arg3)^3-1001/12*(arg4-arg3)^3-1001/4*(arg4-arg3)^2*arg3-1075/8*(arg4-arg3)^2-503/2*arg2*(arg4-arg3)^2+3249/4*(arg4-arg3)^2*arg3^2+12029/2*arg2*(arg4-arg3)^2*arg3-1037/12*arg3-5200/3*arg2*(arg4-arg3)+1083/2*(arg4-arg3)^3*arg3+9505*arg2^2*(arg4-arg3)*arg3 New rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P4, arg4'=2*arg2, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=2*arg2, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ -1+arg2 >= 0 /\ arg1P4 > 0 /\ -arg2+arg3 > 0), cost: 1+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 Applied deletion Removed the following rules: 40 43 Chained accelerated rules with incoming rules Start location: __init 12: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 44: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P4, arg4'=2*arg2, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=2*arg2, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ -1+arg2 >= 0 /\ arg1P4 > 0 /\ -arg2+arg3 > 0), cost: 1+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 13: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Eliminating location f255_0_main_GE by chaining: Applied chaining First rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P1, arg4'=2*arg2, arg1'=arg1P1, arg9'=arg9P1, arg6'=arg6P1, arg3'=0, arg8'=arg8P1, (arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 1 Second rule: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg1P2 > 0 /\ -2*arg2 >= 0 /\ arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1P1 >= 0 /\ -arg2+arg3 > 0), cost: 2 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg1P2 > 0 /\ -2*arg2 >= 0 /\ arg1P1 > 0 /\ arg1P1-arg1 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1P1 >= 0 /\ -arg2+arg3 > 0), cost: 2 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg1P1-arg1 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1P1 >= 0 /\ -arg2+arg3 > 0), cost: 2 Applied chaining First rule: f101_0_main_GE -> f255_0_main_GE : arg5'=arg3, arg7'=arg7P4, arg4'=2*arg2, arg1'=arg1P4, arg9'=arg9P4, arg6'=arg6P4, arg3'=2*arg2, arg8'=arg8P4, (-arg1+arg1P4 <= 0 /\ -1+arg2 >= 0 /\ arg1P4 > 0 /\ -arg2+arg3 > 0), cost: 1+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 Second rule: f255_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg5, arg8'=arg8P2, (1+arg5 > 0 /\ arg1P2 > 0 /\ -arg4+arg3 >= 0 /\ -arg1P2+arg1 >= 0), cost: 1 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (0 >= 0 /\ arg1P2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P2+arg1P4 >= 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0 /\ arg1P4 > 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (0 >= 0 /\ arg1P2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P2+arg1P4 >= 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0 /\ arg1P4 > 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg1P2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P2+arg1P4 >= 0 /\ -1+arg2 >= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 Applied deletion Removed the following rules: 12 13 44 Eliminated locations on tree-shaped paths Start location: __init 45: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg1P1-arg1 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1P1 >= 0 /\ -arg2+arg3 > 0), cost: 2 46: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg1P2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P2+arg1P4 >= 0 /\ -1+arg2 >= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg1P1-arg1 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1P1 >= 0 /\ -arg2+arg3 > 0), cost: 2 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ 1+arg3 > 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg3, arg8'=arg8P2, (arg1P2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P2+arg1P4 >= 0 /\ -1+arg2 >= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ -1+arg2 >= 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 Simplified simple loops Start location: __init 47: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ 1+arg3 > 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2 48: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ -1+arg2 >= 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied acceleration Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ 1+arg3 > 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg2+n8, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ 1-arg2-n8 >= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0 /\ -1+n8 >= 0 /\ 1-arg2-n8+arg3 > 0), cost: 2*n8 Sub-proof via acceration calculus written to file:///tmp/tmpnam_eFhDEE.txt Applied instantiation Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg2+n8, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ 1-arg2-n8 >= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0 /\ -1+n8 >= 0 /\ 1-arg2-n8+arg3 > 0), cost: 2*n8 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (0 >= 0 /\ arg1P2 > 0 /\ -arg2 >= 0 /\ 1+arg3 > 0 /\ arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: 2-2*arg2 Applied instantiation Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg2+n8, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ 1-arg2-n8 >= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0 /\ -1+n8 >= 0 /\ 1-arg2-n8+arg3 > 0), cost: 2*n8 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ 1-arg3 >= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: -2*arg2+2*arg3 Applied acceleration Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg1P2 > 0 /\ -1+arg2 >= 0 /\ arg1P2-arg1 <= 0 /\ -arg2+arg3 > 0), cost: 2+1037/6*arg2+135836/3*arg2^4-24025/6*arg2^2-9235/3*arg2^3 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=n9+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1-n9-arg2+arg3 > 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -1+n9 >= 0 /\ -arg1P2+arg1 >= 0), cost: -280907/3*n9*arg2^3-280907/12*n9^4-33916/15*n9+135836/15*n9^5+135836/3*n9^4*arg2+45892*n9*arg2^2+15827/6*n9*arg2+271672/3*n9^3*arg2^2+45892*n9^2*arg2-280907/2*n9^2*arg2^2+15827/12*n9^2-280907/3*n9^3*arg2+271672/3*n9^2*arg2^3+45892/3*n9^3+135836/3*n9*arg2^4 Sub-proof via acceration calculus written to file:///tmp/tmpnam_caMmfl.txt Applied instantiation Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=n9+arg2, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1-n9-arg2+arg3 > 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -1+n9 >= 0 /\ -arg1P2+arg1 >= 0), cost: -280907/3*n9*arg2^3-280907/12*n9^4-33916/15*n9+135836/15*n9^5+135836/3*n9^4*arg2+45892*n9*arg2^2+15827/6*n9*arg2+271672/3*n9^3*arg2^2+45892*n9^2*arg2-280907/2*n9^2*arg2^2+15827/12*n9^2-280907/3*n9^3*arg2+271672/3*n9^2*arg2^3+45892/3*n9^3+135836/3*n9*arg2^4 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -arg1P2+arg1 >= 0), cost: -45892*arg2^2*(arg2-arg3)+271672/3*arg2^3*(arg2-arg3)^2+33916/15*arg2-280907/12*(arg2-arg3)^4+135836/3*arg2*(arg2-arg3)^4-271672/3*arg2^2*(arg2-arg3)^3-135836/15*(arg2-arg3)^5+280907/3*arg2^3*(arg2-arg3)-280907/2*arg2^2*(arg2-arg3)^2+15827/12*(arg2-arg3)^2+45892*arg2*(arg2-arg3)^2-135836/3*arg2^4*(arg2-arg3)+280907/3*arg2*(arg2-arg3)^3-45892/3*(arg2-arg3)^3-33916/15*arg3-15827/6*arg2*(arg2-arg3) Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (0 >= 0 /\ arg1P2 > 0 /\ -arg2 >= 0 /\ 1+arg3 > 0 /\ arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: 2-2*arg2 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: 2-2*arg2 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ 1-arg3 >= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: -2*arg2+2*arg3 New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (-1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg3 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: -2*arg2+2*arg3 Applied simplification Original rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (1 > 0 /\ -1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -arg1P2+arg1 >= 0), cost: -45892*arg2^2*(arg2-arg3)+271672/3*arg2^3*(arg2-arg3)^2+33916/15*arg2-280907/12*(arg2-arg3)^4+135836/3*arg2*(arg2-arg3)^4-271672/3*arg2^2*(arg2-arg3)^3-135836/15*(arg2-arg3)^5+280907/3*arg2^3*(arg2-arg3)-280907/2*arg2^2*(arg2-arg3)^2+15827/12*(arg2-arg3)^2+45892*arg2*(arg2-arg3)^2-135836/3*arg2^4*(arg2-arg3)+280907/3*arg2*(arg2-arg3)^3-45892/3*(arg2-arg3)^3-33916/15*arg3-15827/6*arg2*(arg2-arg3) New rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (-1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -arg1P2+arg1 >= 0), cost: -45892*arg2^2*(arg2-arg3)+271672/3*arg2^3*(arg2-arg3)^2+33916/15*arg2-280907/12*(arg2-arg3)^4+135836/3*arg2*(arg2-arg3)^4-271672/3*arg2^2*(arg2-arg3)^3-135836/15*(arg2-arg3)^5+280907/3*arg2^3*(arg2-arg3)-280907/2*arg2^2*(arg2-arg3)^2+15827/12*(arg2-arg3)^2+45892*arg2*(arg2-arg3)^2-135836/3*arg2^4*(arg2-arg3)+280907/3*arg2*(arg2-arg3)^3-45892/3*(arg2-arg3)^3-33916/15*arg3-15827/6*arg2*(arg2-arg3) Applied deletion Removed the following rules: 47 48 Accelerated simple loops Start location: __init 52: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: 2-2*arg2 53: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (-1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg3 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: -2*arg2+2*arg3 54: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (-1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg2 >= 0 /\ -arg1P2+arg1 >= 0), cost: -45892*arg2^2*(arg2-arg3)+271672/3*arg2^3*(arg2-arg3)^2+33916/15*arg2-280907/12*(arg2-arg3)^4+135836/3*arg2*(arg2-arg3)^4-271672/3*arg2^2*(arg2-arg3)^3-135836/15*(arg2-arg3)^5+280907/3*arg2^3*(arg2-arg3)-280907/2*arg2^2*(arg2-arg3)^2+15827/12*(arg2-arg3)^2+45892*arg2*(arg2-arg3)^2-135836/3*arg2^4*(arg2-arg3)+280907/3*arg2*(arg2-arg3)^3-45892/3*(arg2-arg3)^3-33916/15*arg3-15827/6*arg2*(arg2-arg3) 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Applied chaining First rule: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Second rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (arg2 <= 0 /\ arg1P2 > 0 /\ arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: 2-2*arg2 New rule: __init -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg2P10, arg8'=arg8P2, (arg1P2 > 0 /\ arg2P10 > 0), cost: 4 Applied chaining First rule: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 Second rule: f101_0_main_GE -> f101_0_main_GE : arg5'=arg5P2, arg2'=arg3, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg8'=arg8P2, (-1-arg2+arg3 >= 0 /\ arg1P2 > 0 /\ -1+arg3 <= 0 /\ 1+arg3 > 0 /\ -arg1P2+arg1 >= 0), cost: -2*arg2+2*arg3 New rule: __init -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=1, arg8'=arg8P2, arg1P2 > 0, cost: 4 Applied deletion Removed the following rules: 52 53 54 Chained accelerated rules with incoming rules Start location: __init 24: __init -> f101_0_main_GE : arg5'=arg5P0, arg2'=0, arg7'=arg7P0, arg4'=arg4P0, arg1'=arg1P0, arg9'=arg9P0, arg6'=arg6P0, arg3'=arg2P10, arg8'=arg8P0, (1+arg2P10 > 0 /\ arg1P0 > 0 /\ -arg1P10+arg1P0 <= 0), cost: 2 55: __init -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=arg2P10, arg8'=arg8P2, (arg1P2 > 0 /\ arg2P10 > 0), cost: 4 56: __init -> f101_0_main_GE : arg5'=arg5P2, arg2'=1, arg7'=arg7P2, arg4'=arg4P2, arg1'=arg1P2, arg9'=arg9P2, arg6'=arg6P2, arg3'=1, arg8'=arg8P2, arg1P2 > 0, cost: 4 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