WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (x50-arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0 /\ 1+x40 > 0 /\ 1+x50 > 0), cost: 1 1: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1+x100 > 0 /\ -1+arg2P1 < 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 12: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=arg1P12, (1+x330 > 0 /\ -1-arg1P12+x330 == 0 /\ 1+x340 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 2: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=arg2P2, arg1'=arg1P2, (arg2 > 0 /\ -arg1P2+arg1 == 0 /\ -arg2P2 == 0), cost: 1 3: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=arg2P3, arg1'=arg1P3, (1-arg2P3 == 0 /\ -arg1P3+arg1 == 0), cost: 1 4: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P4, arg1'=arg1P4, (arg2 > 0 /\ -x360+arg1 >= 0 /\ x290 > 0 /\ -2*x250+arg1 == 0 /\ -arg2+x290 < 0 /\ -arg1P4+arg1 == 0 /\ arg2-arg2P4 == 0), cost: 1 6: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P6, arg1'=arg1P6, (x450 > 0 /\ arg2 > 0 /\ x450-arg2 < 0 /\ -x460+arg1 >= 0 /\ -1+arg1-2*x440 == 0 /\ -arg1P6+arg1 == 0 /\ arg2-arg2P6 == 0), cost: 1 8: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P8, arg1'=arg1P8, (arg1-x560 >= 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ -arg1P8+arg1 == 0 /\ -arg2+x550 < 0 /\ arg2-arg2P8 == 0), cost: 1 10: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P10, arg1'=arg1P10, (arg1-x660 >= 0 /\ arg2 > 0 /\ arg1-arg1P10 == 0 /\ -2*x640+arg1 == 0 /\ arg2-arg2P10 == 0 /\ -arg2+x650 < 0), cost: 1 5: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P5, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ arg2 > 0 /\ -arg2+x410 < 0 /\ x410 > 0 /\ arg1-2*x4000 >= 0 /\ arg1-2*x4000 == 0 /\ -arg2P5 == 0 /\ -2+arg1-2*x4000 < 0 /\ -2+arg1-2*arg1P5 < 0 /\ arg1-2*arg1P5 >= 0), cost: 1 7: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P7, arg1'=arg1P7, (-2+arg1-2*arg1P7 < 0 /\ arg1-2*arg1P7 >= 0 /\ arg2 > 0 /\ -1+arg1-2*x5000 == 0 /\ x510 > 0 /\ arg1-2*x5000 >= 0 /\ -2+arg1-2*x5000 < 0 /\ -arg2+x510 < 0 /\ 1-arg2P7 == 0 /\ arg1-arg1P7 >= 0), cost: 1 9: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P9, arg1'=arg1P9, (-2+arg1-2*arg1P9 < 0 /\ -1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ -arg2+x610 < 0 /\ arg1-2*x600 >= 0 /\ 1-arg2P9 == 0 /\ arg1-arg1P9 >= 0 /\ -2+arg1-2*x600 < 0), cost: 1 11: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P11, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 1-arg2P11 == 0 /\ -arg2+x710 < 0 /\ -2-2*arg1P11+arg1 < 0 /\ -2*arg1P11+arg1 >= 0 /\ -2-2*x700+arg1 < 0 /\ -2*x700+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 13: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=arg1P13, (-1+arg1-arg1P13 == 0 /\ arg1 > 0), cost: 1 14: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (x50-arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0 /\ 1+x40 > 0 /\ 1+x50 > 0), cost: 1 New rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1+x100 > 0 /\ -1+arg2P1 < 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=arg2P2, arg1'=arg1P2, (arg2 > 0 /\ -arg1P2+arg1 == 0 /\ -arg2P2 == 0), cost: 1 New rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 Applied preprocessing Original rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=arg2P3, arg1'=arg1P3, (1-arg2P3 == 0 /\ -arg1P3+arg1 == 0), cost: 1 New rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P4, arg1'=arg1P4, (arg2 > 0 /\ -x360+arg1 >= 0 /\ x290 > 0 /\ -2*x250+arg1 == 0 /\ -arg2+x290 < 0 /\ -arg1P4+arg1 == 0 /\ arg2-arg2P4 == 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P5, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ arg2 > 0 /\ -arg2+x410 < 0 /\ x410 > 0 /\ arg1-2*x4000 >= 0 /\ arg1-2*x4000 == 0 /\ -arg2P5 == 0 /\ -2+arg1-2*x4000 < 0 /\ -2+arg1-2*arg1P5 < 0 /\ arg1-2*arg1P5 >= 0), cost: 1 New rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P6, arg1'=arg1P6, (x450 > 0 /\ arg2 > 0 /\ x450-arg2 < 0 /\ -x460+arg1 >= 0 /\ -1+arg1-2*x440 == 0 /\ -arg1P6+arg1 == 0 /\ arg2-arg2P6 == 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P7, arg1'=arg1P7, (-2+arg1-2*arg1P7 < 0 /\ arg1-2*arg1P7 >= 0 /\ arg2 > 0 /\ -1+arg1-2*x5000 == 0 /\ x510 > 0 /\ arg1-2*x5000 >= 0 /\ -2+arg1-2*x5000 < 0 /\ -arg2+x510 < 0 /\ 1-arg2P7 == 0 /\ arg1-arg1P7 >= 0), cost: 1 New rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P8, arg1'=arg1P8, (arg1-x560 >= 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ -arg1P8+arg1 == 0 /\ -arg2+x550 < 0 /\ arg2-arg2P8 == 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P9, arg1'=arg1P9, (-2+arg1-2*arg1P9 < 0 /\ -1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ -arg2+x610 < 0 /\ arg1-2*x600 >= 0 /\ 1-arg2P9 == 0 /\ arg1-arg1P9 >= 0 /\ -2+arg1-2*x600 < 0), cost: 1 New rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : arg2'=arg2P10, arg1'=arg1P10, (arg1-x660 >= 0 /\ arg2 > 0 /\ arg1-arg1P10 == 0 /\ -2*x640+arg1 == 0 /\ arg2-arg2P10 == 0 /\ -arg2+x650 < 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 Applied preprocessing Original rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=arg2P11, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 1-arg2P11 == 0 /\ -arg2+x710 < 0 /\ -2-2*arg1P11+arg1 < 0 /\ -2*arg1P11+arg1 >= 0 /\ -2-2*x700+arg1 < 0 /\ -2*x700+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 New rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=arg1P12, (1+x330 > 0 /\ -1-arg1P12+x330 == 0 /\ 1+x340 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=-1+x330, (1+x330 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=arg1P13, (-1+arg1-arg1P13 == 0 /\ arg1 > 0), cost: 1 New rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=-1+arg1, arg1 > 0, cost: 1 Simplified rules Start location: __init 15: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 16: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 27: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=-1+x330, (1+x330 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 19: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 21: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 23: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 25: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 20: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 22: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 24: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 26: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 28: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=-1+arg1, arg1 > 0, cost: 1 14: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Applied acceleration Original rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=-1+arg1, arg1 > 0, cost: 1 New rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=arg1-n, (1+arg1-n > 0 /\ -1+n >= 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_gNddJA.txt Applied instantiation Original rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=arg1-n, (1+arg1-n > 0 /\ -1+n >= 0), cost: n New rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, -1+arg1 >= 0, cost: arg1 Applied deletion Removed the following rules: 28 Accelerated simple loops Start location: __init 15: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 16: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 27: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=-1+x330, (1+x330 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 19: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 21: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 23: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 25: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 20: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 22: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 24: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 26: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 30: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, -1+arg1 >= 0, cost: arg1 14: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=-1+x330, (1+x330 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 Second rule: f196_0_create_LE -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, -1+arg1 >= 0, cost: arg1 New rule: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, (-2+x330 >= 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: x330 Applied deletion Removed the following rules: 30 Chained accelerated rules with incoming rules Start location: __init 15: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 16: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 27: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P12, arg1'=-1+x330, (1+x330 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 31: f1_0_main_Load -> f196_0_create_LE : arg2'=arg2P13, arg1'=0, (-2+x330 >= 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: x330 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 19: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 21: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 23: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 25: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 20: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 22: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 24: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 26: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 14: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 15: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 16: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 19: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 21: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 23: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 25: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 20: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 22: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 24: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 26: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 14: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Second rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P14, arg1'=arg1P14, TRUE, cost: 1 Second rule: f1_0_main_Load -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (1-arg2P1 > 0 /\ 1+arg1P1 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied deletion Removed the following rules: 14 15 16 Eliminating location f951_0_slide93_EQ\' by chaining: Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x250+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -2*x250+arg1 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 Applied simplification Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (-arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-2+arg2 >= 0 /\ -1+arg1-2*x440 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 Applied simplification Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 Applied simplification Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (-1-2*x540+arg1 == 0 /\ arg2 > 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ arg2 > 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x640+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 Applied simplification Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ arg2 > 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x640+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x640+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 Applied chaining First rule: f951_0_slide93_EQ -> f951_0_slide93_EQ\' : (arg2 > 0 /\ -2*x640+arg1 == 0), cost: 1 Second rule: f951_0_slide93_EQ\' -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 1 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*x640+arg1 == 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 Applied deletion Removed the following rules: 19 20 21 22 23 24 25 26 Eliminated locations on tree-shaped paths Start location: __init 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 34: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x250+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 35: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (-arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 36: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 37: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 38: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 39: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 2 40: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x640+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 41: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (arg2 > 0 /\ -arg1P11+arg1 >= 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*x640+arg1 == 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 32: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 33: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied pruning (of leafs and parallel rules): Start location: __init 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 34: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x250+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 35: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (-arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 37: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 38: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 39: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 2 32: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 33: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied acceleration Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 2 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ arg2 > 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ -arg1P9 >= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 2*n4 Sub-proof via acceration calculus written to file:///tmp/tmpnam_GeKppL.txt Applied nonterm Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ -1-2*x540+arg1 == 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0), cost: 2 New rule: f951_0_slide93_EQ -> [7] : (-1+arg1-2*x600 >= 0 /\ 1-arg1+2*x600 >= 0 /\ -1-2*x540+arg1 >= 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1-arg1P9 <= 0 /\ arg1-arg1P9 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_LkAmcp.txt Applied simplification Original rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ arg2 > 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ -arg1P9 >= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 2*n4 New rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ arg2 > 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1P9 <= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 2*n4 Applied deletion Removed the following rules: 39 Accelerated simple loops Start location: __init 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 34: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=0, arg1'=arg1P5, (arg1-arg1P5 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P5 > 0 /\ -2*x250+arg1 == 0 /\ arg1-2*x4000 == 0 /\ arg1-2*arg1P5 >= 0), cost: 2 35: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P11, (-arg1P11+arg1 >= 0 /\ -2+arg2 >= 0 /\ -2*x250+arg1 == 0 /\ 2+2*arg1P11-arg1 > 0 /\ -2*arg1P11+arg1 >= 0 /\ -2*x700+arg1 == 0), cost: 2 37: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (-1+arg1-2*x600 == 0 /\ arg1-2*arg1P9 >= 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1-2*x440 == 0), cost: 2 38: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P7, (arg1-2*arg1P7 >= 0 /\ -1-2*x540+arg1 == 0 /\ -1+arg1-2*x5000 == 0 /\ -2+arg2 >= 0 /\ 2-arg1+2*arg1P7 > 0 /\ arg1-arg1P7 >= 0), cost: 2 43: f951_0_slide93_EQ -> [7] : (-1+arg1-2*x600 >= 0 /\ 1-arg1+2*x600 >= 0 /\ -1-2*x540+arg1 >= 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1-arg1P9 <= 0 /\ arg1-arg1P9 >= 0), cost: NONTERM 44: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ arg2 > 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1P9 <= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 2*n4 32: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 33: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied chaining First rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 Second rule: f951_0_slide93_EQ -> [7] : (-1+arg1-2*x600 >= 0 /\ 1-arg1+2*x600 >= 0 /\ -1-2*x540+arg1 >= 0 /\ arg2 > 0 /\ arg1-2*arg1P9 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1-arg1P9 <= 0 /\ arg1-arg1P9 >= 0), cost: NONTERM New rule: f234_0_slide93_FieldAccess -> [7] : (1-arg1+2*x600 == 0 /\ 2+arg1 > 0 /\ 1+2*x540-arg1 == 0 /\ -arg1 >= 0), cost: NONTERM Applied chaining First rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 Second rule: f951_0_slide93_EQ -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ arg2 > 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1P9 <= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 2*n4 New rule: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1P9 <= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 1+2*n4 Applied deletion Removed the following rules: 34 35 37 38 43 44 Chained accelerated rules with incoming rules Start location: __init 17: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=0, arg2 > 0, cost: 1 18: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, TRUE, cost: 1 45: f234_0_slide93_FieldAccess -> [7] : (1-arg1+2*x600 == 0 /\ 2+arg1 > 0 /\ 1+2*x540-arg1 == 0 /\ -arg1 >= 0), cost: NONTERM 46: f234_0_slide93_FieldAccess -> f951_0_slide93_EQ : arg2'=1, arg1'=arg1P9, (1-arg1+2*x600 >= 0 /\ -1-2*x540+arg1P9 >= 0 /\ -1+n4 >= 0 /\ 2-arg1+2*arg1P9 > 0 /\ 1+2*x540-arg1 >= 0 /\ arg1P9 <= 0 /\ arg1-arg1P9 >= 0 /\ -1+arg1P9-2*x600 >= 0), cost: 1+2*n4 32: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 33: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Removed unreachable locations and irrelevant leafs Start location: __init 45: f234_0_slide93_FieldAccess -> [7] : (1-arg1+2*x600 == 0 /\ 2+arg1 > 0 /\ 1+2*x540-arg1 == 0 /\ -arg1 >= 0), cost: NONTERM 32: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1+arg1P0 > 0), cost: 2 33: __init -> f234_0_slide93_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (-1+arg2P14 > 0 /\ arg1P14 > 0 /\ 1-arg2P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Eliminating location f234_0_slide93_FieldAccess by chaining: Applied deletion Removed the following rules: 32 33 45 Eliminated locations on tree-shaped paths Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0