WORST_CASE(Omega(0),?) Initial ITS Start location: l32 0: l0 -> l1 : j^0'=j^post0, dum^0'=dum^post0, tmp^0'=tmp^post0, n^0'=n^post0, imax^0'=imax^post0, big^0'=big^post0, temp^0'=temp^post0, k^0'=k^post0, i^0'=i^post0, tmp___0^0'=tmp___0^post0, sum^0'=sum^post0, (-tmp___0^post0+tmp___0^0 == 0 /\ -n^post0+n^0 == 0 /\ dum^0-dum^post0 == 0 /\ big^0-big^post0 == 0 /\ 1-j^0+n^0 <= 0 /\ -temp^post0+temp^0 == 0 /\ -sum^post0+sum^0 == 0 /\ -k^post0+k^0 == 0 /\ -i^post0+i^0 == 0 /\ j^0-j^post0 == 0 /\ tmp^0-tmp^post0 == 0 /\ imax^0-imax^post0 == 0), cost: 1 1: l0 -> l2 : j^0'=j^post1, dum^0'=dum^post1, tmp^0'=tmp^post1, n^0'=n^post1, imax^0'=imax^post1, big^0'=big^post1, temp^0'=temp^post1, k^0'=k^post1, i^0'=i^post1, tmp___0^0'=tmp___0^post1, sum^0'=sum^post1, (0 == 0 /\ j^0-j^post1 == 0 /\ -imax^post1+imax^0 == 0 /\ -i^post1+i^0 == 0 /\ n^0-n^post1 == 0 /\ j^0-n^0 <= 0 /\ temp^post1-tmp^post1 == 0 /\ -big^post1+big^0 == 0 /\ dum^0-dum^post1 == 0 /\ k^0-k^post1 == 0 /\ -tmp___0^post1+tmp___0^0 == 0 /\ -sum^post1+sum^0 == 0), cost: 1 44: l1 -> l30 : j^0'=j^post44, dum^0'=dum^post44, tmp^0'=tmp^post44, n^0'=n^post44, imax^0'=imax^post44, big^0'=big^post44, temp^0'=temp^post44, k^0'=k^post44, i^0'=i^post44, tmp___0^0'=tmp___0^post44, sum^0'=sum^post44, (-dum^post44+dum^0 == 0 /\ -big^post44+big^0 == 0 /\ -i^post44+i^0 == 0 /\ temp^0-temp^post44 == 0 /\ j^0-j^post44 == 0 /\ n^0-n^post44 == 0 /\ tmp^0-tmp^post44 == 0 /\ -sum^post44+sum^0 == 0 /\ imax^0-imax^post44 == 0 /\ -tmp___0^post44+tmp___0^0 == 0 /\ -k^post44+k^0 == 0 /\ 1-big^0 <= 0), cost: 1 45: l1 -> l30 : j^0'=j^post45, dum^0'=dum^post45, tmp^0'=tmp^post45, n^0'=n^post45, imax^0'=imax^post45, big^0'=big^post45, temp^0'=temp^post45, k^0'=k^post45, i^0'=i^post45, tmp___0^0'=tmp___0^post45, sum^0'=sum^post45, (-i^post45+i^0 == 0 /\ tmp___0^0-tmp___0^post45 == 0 /\ -sum^post45+sum^0 == 0 /\ 1+big^0 <= 0 /\ imax^0-imax^post45 == 0 /\ -tmp^post45+tmp^0 == 0 /\ j^0-j^post45 == 0 /\ -temp^post45+temp^0 == 0 /\ -k^post45+k^0 == 0 /\ -n^post45+n^0 == 0 /\ dum^0-dum^post45 == 0 /\ big^0-big^post45 == 0), cost: 1 46: l1 -> l30 : j^0'=j^post46, dum^0'=dum^post46, tmp^0'=tmp^post46, n^0'=n^post46, imax^0'=imax^post46, big^0'=big^post46, temp^0'=temp^post46, k^0'=k^post46, i^0'=i^post46, tmp___0^0'=tmp___0^post46, sum^0'=sum^post46, (n^0-n^post46 == 0 /\ -sum^post46+sum^0 == 0 /\ tmp^0-tmp^post46 == 0 /\ -temp^post46+temp^0 == 0 /\ -i^post46+i^0 == 0 /\ j^0-j^post46 == 0 /\ big^0 <= 0 /\ dum^0-dum^post46 == 0 /\ -tmp___0^post46+tmp___0^0 == 0 /\ -big^post46+big^0 == 0 /\ -imax^post46+imax^0 == 0 /\ k^0-k^post46 == 0 /\ -big^0 <= 0), cost: 1 48: l2 -> l31 : j^0'=j^post48, dum^0'=dum^post48, tmp^0'=tmp^post48, n^0'=n^post48, imax^0'=imax^post48, big^0'=big^post48, temp^0'=temp^post48, k^0'=k^post48, i^0'=i^post48, tmp___0^0'=tmp___0^post48, sum^0'=sum^post48, (big^0-big^post48 == 0 /\ -temp^post48+temp^0 == 0 /\ -n^post48+n^0 == 0 /\ dum^0-dum^post48 == 0 /\ -i^post48+i^0 == 0 /\ j^0-j^post48 == 0 /\ tmp^0-tmp^post48 == 0 /\ -k^post48+k^0 == 0 /\ -big^0+temp^0 <= 0 /\ -sum^post48+sum^0 == 0 /\ -tmp___0^post48+tmp___0^0 == 0 /\ imax^0-imax^post48 == 0), cost: 1 49: l2 -> l31 : j^0'=j^post49, dum^0'=dum^post49, tmp^0'=tmp^post49, n^0'=n^post49, imax^0'=imax^post49, big^0'=big^post49, temp^0'=temp^post49, k^0'=k^post49, i^0'=i^post49, tmp___0^0'=tmp___0^post49, sum^0'=sum^post49, (-imax^post49+imax^0 == 0 /\ -i^post49+i^0 == 0 /\ n^0-n^post49 == 0 /\ -dum^post49+dum^0 == 0 /\ j^0-j^post49 == 0 /\ 1+big^0-temp^0 <= 0 /\ temp^0-temp^post49 == 0 /\ tmp^0-tmp^post49 == 0 /\ big^post49-temp^0 == 0 /\ -sum^post49+sum^0 == 0 /\ -tmp___0^post49+tmp___0^0 == 0 /\ k^0-k^post49 == 0), cost: 1 2: l3 -> l0 : j^0'=j^post2, dum^0'=dum^post2, tmp^0'=tmp^post2, n^0'=n^post2, imax^0'=imax^post2, big^0'=big^post2, temp^0'=temp^post2, k^0'=k^post2, i^0'=i^post2, tmp___0^0'=tmp___0^post2, sum^0'=sum^post2, (imax^0-imax^post2 == 0 /\ -big^post2+big^0 == 0 /\ -tmp^post2+tmp^0 == 0 /\ temp^0-temp^post2 == 0 /\ -sum^post2+sum^0 == 0 /\ -k^post2+k^0 == 0 /\ -tmp___0^post2+tmp___0^0 == 0 /\ dum^0-dum^post2 == 0 /\ j^0-j^post2 == 0 /\ -i^post2+i^0 == 0 /\ n^0-n^post2 == 0), cost: 1 3: l4 -> l5 : j^0'=j^post3, dum^0'=dum^post3, tmp^0'=tmp^post3, n^0'=n^post3, imax^0'=imax^post3, big^0'=big^post3, temp^0'=temp^post3, k^0'=k^post3, i^0'=i^post3, tmp___0^0'=tmp___0^post3, sum^0'=sum^post3, (-tmp___0^post3+tmp___0^0 == 0 /\ -imax^post3+imax^0 == 0 /\ -1-j^0+j^post3 == 0 /\ -temp^post3+temp^0 == 0 /\ i^0-i^post3 == 0 /\ tmp^0-tmp^post3 == 0 /\ k^0-k^post3 == 0 /\ -sum^post3+sum^0 == 0 /\ dum^0-dum^post3 == 0 /\ -big^post3+big^0 == 0 /\ n^0-n^post3 == 0), cost: 1 41: l5 -> l27 : j^0'=j^post41, dum^0'=dum^post41, tmp^0'=tmp^post41, n^0'=n^post41, imax^0'=imax^post41, big^0'=big^post41, temp^0'=temp^post41, k^0'=k^post41, i^0'=i^post41, tmp___0^0'=tmp___0^post41, sum^0'=sum^post41, (n^0-n^post41 == 0 /\ -temp^post41+temp^0 == 0 /\ j^0-j^post41 == 0 /\ tmp^0-tmp^post41 == 0 /\ i^0-i^post41 == 0 /\ -imax^post41+imax^0 == 0 /\ -big^post41+big^0 == 0 /\ k^0-k^post41 == 0 /\ dum^0-dum^post41 == 0 /\ -tmp___0^post41+tmp___0^0 == 0 /\ -sum^post41+sum^0 == 0), cost: 1 4: l6 -> l4 : j^0'=j^post4, dum^0'=dum^post4, tmp^0'=tmp^post4, n^0'=n^post4, imax^0'=imax^post4, big^0'=big^post4, temp^0'=temp^post4, k^0'=k^post4, i^0'=i^post4, tmp___0^0'=tmp___0^post4, sum^0'=sum^post4, (-tmp___0^post4+tmp___0^0 == 0 /\ -dum^post4+dum^0 == 0 /\ temp^0-temp^post4 == 0 /\ 1+n^0-i^0 <= 0 /\ -sum^post4+sum^0 == 0 /\ -i^post4+i^0 == 0 /\ j^0-j^post4 == 0 /\ n^0-n^post4 == 0 /\ tmp^0-tmp^post4 == 0 /\ imax^0-imax^post4 == 0 /\ k^0-k^post4 == 0 /\ -big^post4+big^0 == 0), cost: 1 5: l6 -> l7 : j^0'=j^post5, dum^0'=dum^post5, tmp^0'=tmp^post5, n^0'=n^post5, imax^0'=imax^post5, big^0'=big^post5, temp^0'=temp^post5, k^0'=k^post5, i^0'=i^post5, tmp___0^0'=tmp___0^post5, sum^0'=sum^post5, (-k^post5+k^0 == 0 /\ -tmp___0^post5+tmp___0^0 == 0 /\ -sum^post5+sum^0 == 0 /\ -n^post5+n^0 == 0 /\ imax^0-imax^post5 == 0 /\ -temp^post5+temp^0 == 0 /\ j^0-j^post5 == 0 /\ -1+i^post5-i^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post5 == 0 /\ big^0-big^post5 == 0 /\ tmp^0-tmp^post5 == 0), cost: 1 6: l7 -> l6 : j^0'=j^post6, dum^0'=dum^post6, tmp^0'=tmp^post6, n^0'=n^post6, imax^0'=imax^post6, big^0'=big^post6, temp^0'=temp^post6, k^0'=k^post6, i^0'=i^post6, tmp___0^0'=tmp___0^post6, sum^0'=sum^post6, (-imax^post6+imax^0 == 0 /\ -big^post6+big^0 == 0 /\ j^0-j^post6 == 0 /\ n^0-n^post6 == 0 /\ -tmp___0^post6+tmp___0^0 == 0 /\ -sum^post6+sum^0 == 0 /\ -temp^post6+temp^0 == 0 /\ dum^0-dum^post6 == 0 /\ k^0-k^post6 == 0 /\ -i^post6+i^0 == 0 /\ tmp^0-tmp^post6 == 0), cost: 1 7: l8 -> l7 : j^0'=j^post7, dum^0'=dum^post7, tmp^0'=tmp^post7, n^0'=n^post7, imax^0'=imax^post7, big^0'=big^post7, temp^0'=temp^post7, k^0'=k^post7, i^0'=i^post7, tmp___0^0'=tmp___0^post7, sum^0'=sum^post7, (0 == 0 /\ -i^post7+i^0 == 0 /\ -n^post7+n^0 == 0 /\ -sum^post7+sum^0 == 0 /\ -big^post7+big^0 == 0 /\ temp^0-temp^post7 == 0 /\ imax^0-imax^post7 == 0 /\ j^0-j^post7 == 0 /\ tmp^0-tmp^post7 == 0 /\ -tmp___0^post7+tmp___0^0 == 0 /\ -k^post7+k^0 == 0), cost: 1 8: l9 -> l4 : j^0'=j^post8, dum^0'=dum^post8, tmp^0'=tmp^post8, n^0'=n^post8, imax^0'=imax^post8, big^0'=big^post8, temp^0'=temp^post8, k^0'=k^post8, i^0'=i^post8, tmp___0^0'=tmp___0^post8, sum^0'=sum^post8, (i^0-i^post8 == 0 /\ -tmp___0^post8+tmp___0^0 == 0 /\ -j^0+n^0 <= 0 /\ dum^0-dum^post8 == 0 /\ big^0-big^post8 == 0 /\ -temp^post8+temp^0 == 0 /\ -k^post8+k^0 == 0 /\ j^0-n^0 <= 0 /\ tmp^0-tmp^post8 == 0 /\ imax^0-imax^post8 == 0 /\ -sum^post8+sum^0 == 0 /\ j^0-j^post8 == 0 /\ -n^post8+n^0 == 0), cost: 1 9: l9 -> l8 : j^0'=j^post9, dum^0'=dum^post9, tmp^0'=tmp^post9, n^0'=n^post9, imax^0'=imax^post9, big^0'=big^post9, temp^0'=temp^post9, k^0'=k^post9, i^0'=i^post9, tmp___0^0'=tmp___0^post9, sum^0'=sum^post9, (-tmp___0^post9+tmp___0^0 == 0 /\ 1-j^0+n^0 <= 0 /\ -imax^post9+imax^0 == 0 /\ n^0-n^post9 == 0 /\ -sum^post9+sum^0 == 0 /\ -dum^post9+dum^0 == 0 /\ temp^0-temp^post9 == 0 /\ j^0-j^post9 == 0 /\ -i^post9+i^0 == 0 /\ tmp^0-tmp^post9 == 0 /\ k^0-k^post9 == 0 /\ -big^post9+big^0 == 0), cost: 1 10: l9 -> l8 : j^0'=j^post10, dum^0'=dum^post10, tmp^0'=tmp^post10, n^0'=n^post10, imax^0'=imax^post10, big^0'=big^post10, temp^0'=temp^post10, k^0'=k^post10, i^0'=i^post10, tmp___0^0'=tmp___0^post10, sum^0'=sum^post10, (j^0-j^post10 == 0 /\ temp^0-temp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0 /\ -tmp^post10+tmp^0 == 0 /\ -i^post10+i^0 == 0 /\ imax^0-imax^post10 == 0 /\ 1+j^0-n^0 <= 0 /\ -k^post10+k^0 == 0 /\ big^0-big^post10 == 0 /\ -n^post10+n^0 == 0 /\ dum^0-dum^post10 == 0 /\ -sum^post10+sum^0 == 0), cost: 1 11: l10 -> l9 : j^0'=j^post11, dum^0'=dum^post11, tmp^0'=tmp^post11, n^0'=n^post11, imax^0'=imax^post11, big^0'=big^post11, temp^0'=temp^post11, k^0'=k^post11, i^0'=i^post11, tmp___0^0'=tmp___0^post11, sum^0'=sum^post11, (j^0-j^post11 == 0 /\ -imax^post11+imax^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ k^0-k^post11 == 0 /\ -i^post11+i^0 == 0 /\ dum^0-dum^post11 == 0 /\ big^0-big^post11 == 0 /\ -tmp___0^post11+tmp___0^0 == 0 /\ -temp^post11+temp^0 == 0 /\ -sum^post11+sum^0 == 0 /\ n^0-n^post11 == 0), cost: 1 12: l10 -> l9 : j^0'=j^post12, dum^0'=dum^post12, tmp^0'=tmp^post12, n^0'=n^post12, imax^0'=imax^post12, big^0'=big^post12, temp^0'=temp^post12, k^0'=k^post12, i^0'=i^post12, tmp___0^0'=tmp___0^post12, sum^0'=sum^post12, (imax^0-imax^post12 == 0 /\ -big^post12+big^0 == 0 /\ temp^0-temp^post12 == 0 /\ -k^post12+k^0 == 0 /\ -tmp___0^post12+tmp___0^0 == 0 /\ -sum^post12+sum^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ dum^0-dum^post12 == 0 /\ j^0-j^post12 == 0 /\ n^0-n^post12 == 0 /\ -i^post12+i^0 == 0), cost: 1 13: l10 -> l9 : j^0'=j^post13, dum^0'=dum^post13, tmp^0'=tmp^post13, n^0'=n^post13, imax^0'=imax^post13, big^0'=big^post13, temp^0'=temp^post13, k^0'=k^post13, i^0'=i^post13, tmp___0^0'=tmp___0^post13, sum^0'=sum^post13, (dum^0-dum^post13 == 0 /\ big^0-big^post13 == 0 /\ -tmp___0^post13+tmp___0^0 == 0 /\ -temp^post13+temp^0 == 0 /\ -n^post13+n^0 == 0 /\ -k^post13+k^0 == 0 /\ -i^post13+i^0 == 0 /\ imax^0-imax^post13 == 0 /\ -sum^post13+sum^0 == 0 /\ -j^post13+j^0 == 0 /\ tmp^0-tmp^post13 == 0), cost: 1 14: l11 -> l10 : j^0'=j^post14, dum^0'=dum^post14, tmp^0'=tmp^post14, n^0'=n^post14, imax^0'=imax^post14, big^0'=big^post14, temp^0'=temp^post14, k^0'=k^post14, i^0'=i^post14, tmp___0^0'=tmp___0^post14, sum^0'=sum^post14, (-imax^post14+imax^0 == 0 /\ -tmp___0^post14+tmp___0^0 == 0 /\ n^0-n^post14 == 0 /\ -big^post14+big^0 == 0 /\ -sum^post14+sum^0 == 0 /\ k^0-k^post14 == 0 /\ j^0-j^post14 == 0 /\ -i^post14+i^0 == 0 /\ -temp^post14+temp^0 == 0 /\ tmp^0-tmp^post14 == 0 /\ dum^0-dum^post14 == 0), cost: 1 15: l12 -> l11 : j^0'=j^post15, dum^0'=dum^post15, tmp^0'=tmp^post15, n^0'=n^post15, imax^0'=imax^post15, big^0'=big^post15, temp^0'=temp^post15, k^0'=k^post15, i^0'=i^post15, tmp___0^0'=tmp___0^post15, sum^0'=sum^post15, (-k^post15+k^0 == 0 /\ -sum^post15+sum^0 == 0 /\ tmp^0-tmp^post15 == 0 /\ -i^post15+i^0 == 0 /\ 1+n^0-k^0 <= 0 /\ -tmp___0^post15+tmp___0^0 == 0 /\ j^0-j^post15 == 0 /\ -n^post15+n^0 == 0 /\ imax^0-imax^post15 == 0 /\ -temp^post15+temp^0 == 0 /\ dum^0-dum^post15 == 0 /\ big^0-big^post15 == 0), cost: 1 16: l12 -> l13 : j^0'=j^post16, dum^0'=dum^post16, tmp^0'=tmp^post16, n^0'=n^post16, imax^0'=imax^post16, big^0'=big^post16, temp^0'=temp^post16, k^0'=k^post16, i^0'=i^post16, tmp___0^0'=tmp___0^post16, sum^0'=sum^post16, (0 == 0 /\ -n^0+k^0 <= 0 /\ -imax^post16+imax^0 == 0 /\ big^0-big^post16 == 0 /\ -tmp___0^post16+tmp___0^0 == 0 /\ -sum^post16+sum^0 == 0 /\ tmp^0-tmp^post16 == 0 /\ i^0-i^post16 == 0 /\ -temp^post16+temp^0 == 0 /\ j^0-j^post16 == 0 /\ n^0-n^post16 == 0 /\ -1-k^0+k^post16 == 0), cost: 1 17: l13 -> l12 : j^0'=j^post17, dum^0'=dum^post17, tmp^0'=tmp^post17, n^0'=n^post17, imax^0'=imax^post17, big^0'=big^post17, temp^0'=temp^post17, k^0'=k^post17, i^0'=i^post17, tmp___0^0'=tmp___0^post17, sum^0'=sum^post17, (-dum^post17+dum^0 == 0 /\ -big^post17+big^0 == 0 /\ -tmp___0^post17+tmp___0^0 == 0 /\ -sum^post17+sum^0 == 0 /\ temp^0-temp^post17 == 0 /\ -tmp^post17+tmp^0 == 0 /\ n^0-n^post17 == 0 /\ imax^0-imax^post17 == 0 /\ -k^post17+k^0 == 0 /\ j^0-j^post17 == 0 /\ -i^post17+i^0 == 0), cost: 1 18: l14 -> l11 : j^0'=j^post18, dum^0'=dum^post18, tmp^0'=tmp^post18, n^0'=n^post18, imax^0'=imax^post18, big^0'=big^post18, temp^0'=temp^post18, k^0'=k^post18, i^0'=i^post18, tmp___0^0'=tmp___0^post18, sum^0'=sum^post18, (i^0-i^post18 == 0 /\ -j^0+imax^0 <= 0 /\ -sum^post18+sum^0 == 0 /\ -n^post18+n^0 == 0 /\ j^0-imax^0 <= 0 /\ dum^0-dum^post18 == 0 /\ big^0-big^post18 == 0 /\ tmp^0-tmp^post18 == 0 /\ -tmp___0^post18+tmp___0^0 == 0 /\ imax^0-imax^post18 == 0 /\ -k^post18+k^0 == 0 /\ j^0-j^post18 == 0 /\ -temp^post18+temp^0 == 0), cost: 1 19: l14 -> l13 : j^0'=j^post19, dum^0'=dum^post19, tmp^0'=tmp^post19, n^0'=n^post19, imax^0'=imax^post19, big^0'=big^post19, temp^0'=temp^post19, k^0'=k^post19, i^0'=i^post19, tmp___0^0'=tmp___0^post19, sum^0'=sum^post19, (-tmp___0^post19+tmp___0^0 == 0 /\ 1-j^0+imax^0 <= 0 /\ -imax^post19+imax^0 == 0 /\ n^0-n^post19 == 0 /\ -i^post19+i^0 == 0 /\ temp^0-temp^post19 == 0 /\ -sum^post19+sum^0 == 0 /\ -dum^post19+dum^0 == 0 /\ j^0-j^post19 == 0 /\ tmp^0-tmp^post19 == 0 /\ k^0-k^post19 == 0 /\ -big^post19+big^0 == 0), cost: 1 20: l14 -> l13 : j^0'=j^post20, dum^0'=dum^post20, tmp^0'=tmp^post20, n^0'=n^post20, imax^0'=imax^post20, big^0'=big^post20, temp^0'=temp^post20, k^0'=k^post20, i^0'=i^post20, tmp___0^0'=tmp___0^post20, sum^0'=sum^post20, (-tmp___0^post20+tmp___0^0 == 0 /\ big^0-big^post20 == 0 /\ 1+j^0-imax^0 <= 0 /\ -k^post20+k^0 == 0 /\ -n^post20+n^0 == 0 /\ -sum^post20+sum^0 == 0 /\ imax^0-imax^post20 == 0 /\ j^0-j^post20 == 0 /\ -i^post20+i^0 == 0 /\ -temp^post20+temp^0 == 0 /\ tmp^0-tmp^post20 == 0 /\ dum^0-dum^post20 == 0), cost: 1 21: l15 -> l16 : j^0'=j^post21, dum^0'=dum^post21, tmp^0'=tmp^post21, n^0'=n^post21, imax^0'=imax^post21, big^0'=big^post21, temp^0'=temp^post21, k^0'=k^post21, i^0'=i^post21, tmp___0^0'=tmp___0^post21, sum^0'=sum^post21, (-imax^post21+imax^0 == 0 /\ j^0-j^post21 == 0 /\ -big^post21+big^0 == 0 /\ tmp^0-tmp^post21 == 0 /\ n^0-n^post21 == 0 /\ -tmp___0^post21+tmp___0^0 == 0 /\ -sum^post21+sum^0 == 0 /\ -temp^post21+temp^0 == 0 /\ -1+i^post21-i^0 == 0 /\ k^0-k^post21 == 0 /\ dum^0-dum^post21 == 0), cost: 1 32: l16 -> l21 : j^0'=j^post32, dum^0'=dum^post32, tmp^0'=tmp^post32, n^0'=n^post32, imax^0'=imax^post32, big^0'=big^post32, temp^0'=temp^post32, k^0'=k^post32, i^0'=i^post32, tmp___0^0'=tmp___0^post32, sum^0'=sum^post32, (-k^post32+k^0 == 0 /\ -big^post32+big^0 == 0 /\ imax^0-imax^post32 == 0 /\ temp^0-temp^post32 == 0 /\ dum^0-dum^post32 == 0 /\ -tmp___0^post32+tmp___0^0 == 0 /\ -sum^post32+sum^0 == 0 /\ -tmp^post32+tmp^0 == 0 /\ j^0-j^post32 == 0 /\ -i^post32+i^0 == 0 /\ n^0-n^post32 == 0), cost: 1 22: l17 -> l15 : j^0'=j^post22, dum^0'=dum^post22, tmp^0'=tmp^post22, n^0'=n^post22, imax^0'=imax^post22, big^0'=big^post22, temp^0'=temp^post22, k^0'=k^post22, i^0'=i^post22, tmp___0^0'=tmp___0^post22, sum^0'=sum^post22, (-big^post22+big^0 == 0 /\ 1+dum^0-big^0 <= 0 /\ -k^post22+k^0 == 0 /\ imax^0-imax^post22 == 0 /\ temp^0-temp^post22 == 0 /\ dum^0-dum^post22 == 0 /\ -tmp___0^post22+tmp___0^0 == 0 /\ -sum^post22+sum^0 == 0 /\ -tmp^post22+tmp^0 == 0 /\ j^0-j^post22 == 0 /\ n^0-n^post22 == 0 /\ -i^post22+i^0 == 0), cost: 1 23: l17 -> l15 : j^0'=j^post23, dum^0'=dum^post23, tmp^0'=tmp^post23, n^0'=n^post23, imax^0'=imax^post23, big^0'=big^post23, temp^0'=temp^post23, k^0'=k^post23, i^0'=i^post23, tmp___0^0'=tmp___0^post23, sum^0'=sum^post23, (-i^0+imax^post23 == 0 /\ -tmp___0^post23+tmp___0^0 == 0 /\ k^0-k^post23 == 0 /\ -sum^post23+sum^0 == 0 /\ -n^post23+n^0 == 0 /\ -dum^0+big^0 <= 0 /\ tmp^0-tmp^post23 == 0 /\ dum^0-dum^post23 == 0 /\ i^0-i^post23 == 0 /\ -temp^post23+temp^0 == 0 /\ -dum^0+big^post23 == 0 /\ j^0-j^post23 == 0), cost: 1 24: l18 -> l5 : j^0'=j^post24, dum^0'=dum^post24, tmp^0'=tmp^post24, n^0'=n^post24, imax^0'=imax^post24, big^0'=big^post24, temp^0'=temp^post24, k^0'=k^post24, i^0'=i^post24, tmp___0^0'=tmp___0^post24, sum^0'=sum^post24, (-sum^post24+sum^0 == 0 /\ -dum^post24+dum^0 == 0 /\ -big^post24+big^0 == 0 /\ temp^0-temp^post24 == 0 /\ -i^post24+i^0 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post24 == 0 /\ n^0-n^post24 == 0 /\ -tmp___0^post24+tmp___0^0 == 0 /\ tmp^0-tmp^post24 == 0 /\ imax^0-imax^post24 == 0 /\ -k^post24+k^0 == 0), cost: 1 25: l18 -> l3 : j^0'=j^post25, dum^0'=dum^post25, tmp^0'=tmp^post25, n^0'=n^post25, imax^0'=imax^post25, big^0'=big^post25, temp^0'=temp^post25, k^0'=k^post25, i^0'=i^post25, tmp___0^0'=tmp___0^post25, sum^0'=sum^post25, (-sum^post25+sum^0 == 0 /\ tmp___0^0-tmp___0^post25 == 0 /\ -i^post25+i^0 == 0 /\ -tmp^post25+tmp^0 == 0 /\ j^0-j^post25 == 0 /\ -n^post25+n^0 == 0 /\ imax^0-imax^post25 == 0 /\ big^post25 == 0 /\ -temp^post25+temp^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post25 == 0 /\ -k^post25+k^0 == 0), cost: 1 26: l19 -> l17 : j^0'=j^post26, dum^0'=dum^post26, tmp^0'=tmp^post26, n^0'=n^post26, imax^0'=imax^post26, big^0'=big^post26, temp^0'=temp^post26, k^0'=k^post26, i^0'=i^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post26, (0 == 0 /\ -sum^post26+sum^0 == 0 /\ tmp^0-tmp^post26 == 0 /\ n^0-n^post26 == 0 /\ -big^post26+big^0 == 0 /\ -imax^post26+imax^0 == 0 /\ -i^post26+i^0 == 0 /\ j^0-j^post26 == 0 /\ -temp^post26+temp^0 == 0 /\ k^0-k^post26 == 0 /\ j^0-k^0 <= 0), cost: 1 27: l19 -> l20 : j^0'=j^post27, dum^0'=dum^post27, tmp^0'=tmp^post27, n^0'=n^post27, imax^0'=imax^post27, big^0'=big^post27, temp^0'=temp^post27, k^0'=k^post27, i^0'=i^post27, tmp___0^0'=tmp___0^post27, sum^0'=sum^post27, (0 == 0 /\ temp^0-temp^post27 == 0 /\ -n^post27+n^0 == 0 /\ tmp___0^0-tmp___0^post27 == 0 /\ -1+k^post27-k^0 == 0 /\ imax^0-imax^post27 == 0 /\ dum^0-dum^post27 == 0 /\ big^0-big^post27 == 0 /\ -tmp^post27+tmp^0 == 0 /\ 1-j^0+k^0 <= 0 /\ j^0-j^post27 == 0 /\ -i^post27+i^0 == 0), cost: 1 28: l20 -> l19 : j^0'=j^post28, dum^0'=dum^post28, tmp^0'=tmp^post28, n^0'=n^post28, imax^0'=imax^post28, big^0'=big^post28, temp^0'=temp^post28, k^0'=k^post28, i^0'=i^post28, tmp___0^0'=tmp___0^post28, sum^0'=sum^post28, (i^0-i^post28 == 0 /\ -n^post28+n^0 == 0 /\ dum^0-dum^post28 == 0 /\ big^0-big^post28 == 0 /\ j^0-j^post28 == 0 /\ tmp^0-tmp^post28 == 0 /\ imax^0-imax^post28 == 0 /\ -sum^post28+sum^0 == 0 /\ -tmp___0^post28+tmp___0^0 == 0 /\ -k^post28+k^0 == 0 /\ -temp^post28+temp^0 == 0), cost: 1 29: l21 -> l14 : j^0'=j^post29, dum^0'=dum^post29, tmp^0'=tmp^post29, n^0'=n^post29, imax^0'=imax^post29, big^0'=big^post29, temp^0'=temp^post29, k^0'=k^post29, i^0'=i^post29, tmp___0^0'=tmp___0^post29, sum^0'=sum^post29, (-dum^post29+dum^0 == 0 /\ -i^post29+i^0 == 0 /\ -sum^post29+sum^0 == 0 /\ -big^post29+big^0 == 0 /\ n^0-n^post29 == 0 /\ temp^0-temp^post29 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post29 == 0 /\ tmp^0-tmp^post29 == 0 /\ -tmp___0^post29+tmp___0^0 == 0 /\ imax^0-imax^post29 == 0 /\ -k^post29+k^0 == 0), cost: 1 30: l21 -> l20 : j^0'=j^post30, dum^0'=dum^post30, tmp^0'=tmp^post30, n^0'=n^post30, imax^0'=imax^post30, big^0'=big^post30, temp^0'=temp^post30, k^0'=k^post30, i^0'=i^post30, tmp___0^0'=tmp___0^post30, sum^0'=sum^post30, (0 == 0 /\ tmp___0^0-tmp___0^post30 == 0 /\ dum^0-dum^post30 == 0 /\ big^0-big^post30 == 0 /\ j^0-j^post30 == 0 /\ -temp^post30+temp^0 == 0 /\ -k^post30+k^0 == 0 /\ imax^0-imax^post30 == 0 /\ -i^post30+i^0 == 0 /\ -tmp^post30+tmp^0 == 0 /\ -n^0+i^0 <= 0 /\ -n^post30+n^0 == 0), cost: 1 31: l22 -> l18 : j^0'=j^post31, dum^0'=dum^post31, tmp^0'=tmp^post31, n^0'=n^post31, imax^0'=imax^post31, big^0'=big^post31, temp^0'=temp^post31, k^0'=k^post31, i^0'=i^post31, tmp___0^0'=tmp___0^post31, sum^0'=sum^post31, (-imax^post31+imax^0 == 0 /\ dum^0-dum^post31 == 0 /\ k^0-k^post31 == 0 /\ big^0-big^post31 == 0 /\ i^0-i^post31 == 0 /\ -tmp___0^post31+tmp___0^0 == 0 /\ tmp^0-tmp^post31 == 0 /\ -sum^post31+sum^0 == 0 /\ -temp^post31+temp^0 == 0 /\ j^0-j^post31 == 0 /\ n^0-n^post31 == 0), cost: 1 33: l23 -> l24 : j^0'=j^post33, dum^0'=dum^post33, tmp^0'=tmp^post33, n^0'=n^post33, imax^0'=imax^post33, big^0'=big^post33, temp^0'=temp^post33, k^0'=k^post33, i^0'=i^post33, tmp___0^0'=tmp___0^post33, sum^0'=sum^post33, (-1+i^post33-i^0 == 0 /\ big^0-big^post33 == 0 /\ -tmp___0^post33+tmp___0^0 == 0 /\ -n^post33+n^0 == 0 /\ dum^0-dum^post33 == 0 /\ -sum^post33+sum^0 == 0 /\ imax^0-imax^post33 == 0 /\ -k^0+i^0 <= 0 /\ -k^post33+k^0 == 0 /\ -j^post33+j^0 == 0 /\ tmp^0-tmp^post33 == 0 /\ -temp^post33+temp^0 == 0), cost: 1 34: l23 -> l25 : j^0'=j^post34, dum^0'=dum^post34, tmp^0'=tmp^post34, n^0'=n^post34, imax^0'=imax^post34, big^0'=big^post34, temp^0'=temp^post34, k^0'=k^post34, i^0'=i^post34, tmp___0^0'=tmp___0^post34, sum^0'=sum^post34, (0 == 0 /\ -i^post34+i^0 == 0 /\ n^0-n^post34 == 0 /\ -1-k^0+k^post34 == 0 /\ j^0-j^post34 == 0 /\ -big^post34+big^0 == 0 /\ -tmp___0^post34+tmp___0^0 == 0 /\ 1+k^0-i^0 <= 0 /\ -temp^post34+temp^0 == 0 /\ tmp^0-tmp^post34 == 0 /\ -imax^post34+imax^0 == 0 /\ dum^0-dum^post34 == 0), cost: 1 38: l24 -> l26 : j^0'=j^post38, dum^0'=dum^post38, tmp^0'=tmp^post38, n^0'=n^post38, imax^0'=imax^post38, big^0'=big^post38, temp^0'=temp^post38, k^0'=k^post38, i^0'=i^post38, tmp___0^0'=tmp___0^post38, sum^0'=sum^post38, (big^0-big^post38 == 0 /\ i^0-i^post38 == 0 /\ -n^post38+n^0 == 0 /\ dum^0-dum^post38 == 0 /\ j^0-j^post38 == 0 /\ tmp^0-tmp^post38 == 0 /\ imax^0-imax^post38 == 0 /\ -k^post38+k^0 == 0 /\ -tmp___0^post38+tmp___0^0 == 0 /\ -sum^post38+sum^0 == 0 /\ -temp^post38+temp^0 == 0), cost: 1 35: l25 -> l23 : j^0'=j^post35, dum^0'=dum^post35, tmp^0'=tmp^post35, n^0'=n^post35, imax^0'=imax^post35, big^0'=big^post35, temp^0'=temp^post35, k^0'=k^post35, i^0'=i^post35, tmp___0^0'=tmp___0^post35, sum^0'=sum^post35, (-sum^post35+sum^0 == 0 /\ tmp___0^0-tmp___0^post35 == 0 /\ -i^post35+i^0 == 0 /\ -tmp^post35+tmp^0 == 0 /\ imax^0-imax^post35 == 0 /\ j^0-j^post35 == 0 /\ -n^post35+n^0 == 0 /\ -temp^post35+temp^0 == 0 /\ dum^0-dum^post35 == 0 /\ big^0-big^post35 == 0 /\ -k^post35+k^0 == 0), cost: 1 36: l26 -> l16 : j^0'=j^post36, dum^0'=dum^post36, tmp^0'=tmp^post36, n^0'=n^post36, imax^0'=imax^post36, big^0'=big^post36, temp^0'=temp^post36, k^0'=k^post36, i^0'=i^post36, tmp___0^0'=tmp___0^post36, sum^0'=sum^post36, (n^0-n^post36 == 0 /\ -temp^post36+temp^0 == 0 /\ j^0-i^0 <= 0 /\ k^0-k^post36 == 0 /\ -tmp___0^post36+tmp___0^0 == 0 /\ -sum^post36+sum^0 == 0 /\ i^0-i^post36 == 0 /\ tmp^0-tmp^post36 == 0 /\ -imax^post36+imax^0 == 0 /\ dum^0-dum^post36 == 0 /\ j^0-j^post36 == 0 /\ big^post36 == 0), cost: 1 37: l26 -> l25 : j^0'=j^post37, dum^0'=dum^post37, tmp^0'=tmp^post37, n^0'=n^post37, imax^0'=imax^post37, big^0'=big^post37, temp^0'=temp^post37, k^0'=k^post37, i^0'=i^post37, tmp___0^0'=tmp___0^post37, sum^0'=sum^post37, (0 == 0 /\ -dum^post37+dum^0 == 0 /\ 1-j^0+i^0 <= 0 /\ -i^post37+i^0 == 0 /\ temp^0-temp^post37 == 0 /\ -tmp^post37+tmp^0 == 0 /\ n^0-n^post37 == 0 /\ -big^post37+big^0 == 0 /\ -k^post37+k^0 == 0 /\ j^0-j^post37 == 0 /\ -tmp___0^post37+tmp___0^0 == 0 /\ imax^0-imax^post37 == 0), cost: 1 39: l27 -> l28 : j^0'=j^post39, dum^0'=dum^post39, tmp^0'=tmp^post39, n^0'=n^post39, imax^0'=imax^post39, big^0'=big^post39, temp^0'=temp^post39, k^0'=k^post39, i^0'=i^post39, tmp___0^0'=tmp___0^post39, sum^0'=sum^post39, (tmp^0-tmp^post39 == 0 /\ -i^post39+i^0 == 0 /\ -sum^post39+sum^0 == 0 /\ 1-j^0+n^0 <= 0 /\ j^0-j^post39 == 0 /\ n^0-n^post39 == 0 /\ -imax^post39+imax^0 == 0 /\ -big^post39+big^0 == 0 /\ -tmp___0^post39+tmp___0^0 == 0 /\ k^0-k^post39 == 0 /\ -dum^post39+dum^0 == 0 /\ -temp^post39+temp^0 == 0), cost: 1 40: l27 -> l24 : j^0'=j^post40, dum^0'=dum^post40, tmp^0'=tmp^post40, n^0'=n^post40, imax^0'=imax^post40, big^0'=big^post40, temp^0'=temp^post40, k^0'=k^post40, i^0'=i^post40, tmp___0^0'=tmp___0^post40, sum^0'=sum^post40, (-n^post40+n^0 == 0 /\ temp^0-temp^post40 == 0 /\ -i^post40+i^0 == 0 /\ tmp___0^0-tmp___0^post40 == 0 /\ j^0-n^0 <= 0 /\ imax^0-imax^post40 == 0 /\ -tmp^post40+tmp^0 == 0 /\ j^0-j^post40 == 0 /\ -k^post40+k^0 == 0 /\ -sum^post40+sum^0 == 0 /\ dum^0-dum^post40 == 0 /\ big^0-big^post40 == 0), cost: 1 42: l29 -> l22 : j^0'=j^post42, dum^0'=dum^post42, tmp^0'=tmp^post42, n^0'=n^post42, imax^0'=imax^post42, big^0'=big^post42, temp^0'=temp^post42, k^0'=k^post42, i^0'=i^post42, tmp___0^0'=tmp___0^post42, sum^0'=sum^post42, (-big^post42+big^0 == 0 /\ -k^post42+k^0 == 0 /\ imax^0-imax^post42 == 0 /\ temp^0-temp^post42 == 0 /\ dum^0-dum^post42 == 0 /\ -sum^post42+sum^0 == 0 /\ -tmp___0^post42+tmp___0^0 == 0 /\ -tmp^post42+tmp^0 == 0 /\ -i^post42+i^0 == 0 /\ j^0-j^post42 == 0 /\ n^0-n^post42 == 0), cost: 1 43: l30 -> l22 : j^0'=j^post43, dum^0'=dum^post43, tmp^0'=tmp^post43, n^0'=n^post43, imax^0'=imax^post43, big^0'=big^post43, temp^0'=temp^post43, k^0'=k^post43, i^0'=i^post43, tmp___0^0'=tmp___0^post43, sum^0'=sum^post43, (big^0-big^post43 == 0 /\ -temp^post43+temp^0 == 0 /\ -n^post43+n^0 == 0 /\ -sum^post43+sum^0 == 0 /\ tmp^0-tmp^post43 == 0 /\ dum^0-dum^post43 == 0 /\ -k^post43+k^0 == 0 /\ imax^0-imax^post43 == 0 /\ -tmp___0^post43+tmp___0^0 == 0 /\ j^0-j^post43 == 0 /\ -1-i^0+i^post43 == 0), cost: 1 47: l31 -> l3 : j^0'=j^post47, dum^0'=dum^post47, tmp^0'=tmp^post47, n^0'=n^post47, imax^0'=imax^post47, big^0'=big^post47, temp^0'=temp^post47, k^0'=k^post47, i^0'=i^post47, tmp___0^0'=tmp___0^post47, sum^0'=sum^post47, (temp^0-temp^post47 == 0 /\ -n^post47+n^0 == 0 /\ tmp___0^0-tmp___0^post47 == 0 /\ -i^post47+i^0 == 0 /\ imax^0-imax^post47 == 0 /\ -k^post47+k^0 == 0 /\ dum^0-dum^post47 == 0 /\ big^0-big^post47 == 0 /\ -1-j^0+j^post47 == 0 /\ -tmp^post47+tmp^0 == 0 /\ -sum^post47+sum^0 == 0), cost: 1 50: l32 -> l29 : j^0'=j^post50, dum^0'=dum^post50, tmp^0'=tmp^post50, n^0'=n^post50, imax^0'=imax^post50, big^0'=big^post50, temp^0'=temp^post50, k^0'=k^post50, i^0'=i^post50, tmp___0^0'=tmp___0^post50, sum^0'=sum^post50, (dum^0-dum^post50 == 0 /\ -tmp___0^post50+tmp___0^0 == 0 /\ big^0-big^post50 == 0 /\ -k^post50+k^0 == 0 /\ -tmp^post50+tmp^0 == 0 /\ -temp^post50+temp^0 == 0 /\ imax^0-imax^post50 == 0 /\ -i^post50+i^0 == 0 /\ -sum^post50+sum^0 == 0 /\ -j^post50+j^0 == 0 /\ -n^post50+n^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l32 0: l0 -> l1 : j^0'=j^post0, dum^0'=dum^post0, tmp^0'=tmp^post0, n^0'=n^post0, imax^0'=imax^post0, big^0'=big^post0, temp^0'=temp^post0, k^0'=k^post0, i^0'=i^post0, tmp___0^0'=tmp___0^post0, sum^0'=sum^post0, (-tmp___0^post0+tmp___0^0 == 0 /\ -n^post0+n^0 == 0 /\ dum^0-dum^post0 == 0 /\ big^0-big^post0 == 0 /\ 1-j^0+n^0 <= 0 /\ -temp^post0+temp^0 == 0 /\ -sum^post0+sum^0 == 0 /\ -k^post0+k^0 == 0 /\ -i^post0+i^0 == 0 /\ j^0-j^post0 == 0 /\ tmp^0-tmp^post0 == 0 /\ imax^0-imax^post0 == 0), cost: 1 1: l0 -> l2 : j^0'=j^post1, dum^0'=dum^post1, tmp^0'=tmp^post1, n^0'=n^post1, imax^0'=imax^post1, big^0'=big^post1, temp^0'=temp^post1, k^0'=k^post1, i^0'=i^post1, tmp___0^0'=tmp___0^post1, sum^0'=sum^post1, (0 == 0 /\ j^0-j^post1 == 0 /\ -imax^post1+imax^0 == 0 /\ -i^post1+i^0 == 0 /\ n^0-n^post1 == 0 /\ j^0-n^0 <= 0 /\ temp^post1-tmp^post1 == 0 /\ -big^post1+big^0 == 0 /\ dum^0-dum^post1 == 0 /\ k^0-k^post1 == 0 /\ -tmp___0^post1+tmp___0^0 == 0 /\ -sum^post1+sum^0 == 0), cost: 1 44: l1 -> l30 : j^0'=j^post44, dum^0'=dum^post44, tmp^0'=tmp^post44, n^0'=n^post44, imax^0'=imax^post44, big^0'=big^post44, temp^0'=temp^post44, k^0'=k^post44, i^0'=i^post44, tmp___0^0'=tmp___0^post44, sum^0'=sum^post44, (-dum^post44+dum^0 == 0 /\ -big^post44+big^0 == 0 /\ -i^post44+i^0 == 0 /\ temp^0-temp^post44 == 0 /\ j^0-j^post44 == 0 /\ n^0-n^post44 == 0 /\ tmp^0-tmp^post44 == 0 /\ -sum^post44+sum^0 == 0 /\ imax^0-imax^post44 == 0 /\ -tmp___0^post44+tmp___0^0 == 0 /\ -k^post44+k^0 == 0 /\ 1-big^0 <= 0), cost: 1 45: l1 -> l30 : j^0'=j^post45, dum^0'=dum^post45, tmp^0'=tmp^post45, n^0'=n^post45, imax^0'=imax^post45, big^0'=big^post45, temp^0'=temp^post45, k^0'=k^post45, i^0'=i^post45, tmp___0^0'=tmp___0^post45, sum^0'=sum^post45, (-i^post45+i^0 == 0 /\ tmp___0^0-tmp___0^post45 == 0 /\ -sum^post45+sum^0 == 0 /\ 1+big^0 <= 0 /\ imax^0-imax^post45 == 0 /\ -tmp^post45+tmp^0 == 0 /\ j^0-j^post45 == 0 /\ -temp^post45+temp^0 == 0 /\ -k^post45+k^0 == 0 /\ -n^post45+n^0 == 0 /\ dum^0-dum^post45 == 0 /\ big^0-big^post45 == 0), cost: 1 46: l1 -> l30 : j^0'=j^post46, dum^0'=dum^post46, tmp^0'=tmp^post46, n^0'=n^post46, imax^0'=imax^post46, big^0'=big^post46, temp^0'=temp^post46, k^0'=k^post46, i^0'=i^post46, tmp___0^0'=tmp___0^post46, sum^0'=sum^post46, (n^0-n^post46 == 0 /\ -sum^post46+sum^0 == 0 /\ tmp^0-tmp^post46 == 0 /\ -temp^post46+temp^0 == 0 /\ -i^post46+i^0 == 0 /\ j^0-j^post46 == 0 /\ big^0 <= 0 /\ dum^0-dum^post46 == 0 /\ -tmp___0^post46+tmp___0^0 == 0 /\ -big^post46+big^0 == 0 /\ -imax^post46+imax^0 == 0 /\ k^0-k^post46 == 0 /\ -big^0 <= 0), cost: 1 48: l2 -> l31 : j^0'=j^post48, dum^0'=dum^post48, tmp^0'=tmp^post48, n^0'=n^post48, imax^0'=imax^post48, big^0'=big^post48, temp^0'=temp^post48, k^0'=k^post48, i^0'=i^post48, tmp___0^0'=tmp___0^post48, sum^0'=sum^post48, (big^0-big^post48 == 0 /\ -temp^post48+temp^0 == 0 /\ -n^post48+n^0 == 0 /\ dum^0-dum^post48 == 0 /\ -i^post48+i^0 == 0 /\ j^0-j^post48 == 0 /\ tmp^0-tmp^post48 == 0 /\ -k^post48+k^0 == 0 /\ -big^0+temp^0 <= 0 /\ -sum^post48+sum^0 == 0 /\ -tmp___0^post48+tmp___0^0 == 0 /\ imax^0-imax^post48 == 0), cost: 1 49: l2 -> l31 : j^0'=j^post49, dum^0'=dum^post49, tmp^0'=tmp^post49, n^0'=n^post49, imax^0'=imax^post49, big^0'=big^post49, temp^0'=temp^post49, k^0'=k^post49, i^0'=i^post49, tmp___0^0'=tmp___0^post49, sum^0'=sum^post49, (-imax^post49+imax^0 == 0 /\ -i^post49+i^0 == 0 /\ n^0-n^post49 == 0 /\ -dum^post49+dum^0 == 0 /\ j^0-j^post49 == 0 /\ 1+big^0-temp^0 <= 0 /\ temp^0-temp^post49 == 0 /\ tmp^0-tmp^post49 == 0 /\ big^post49-temp^0 == 0 /\ -sum^post49+sum^0 == 0 /\ -tmp___0^post49+tmp___0^0 == 0 /\ k^0-k^post49 == 0), cost: 1 2: l3 -> l0 : j^0'=j^post2, dum^0'=dum^post2, tmp^0'=tmp^post2, n^0'=n^post2, imax^0'=imax^post2, big^0'=big^post2, temp^0'=temp^post2, k^0'=k^post2, i^0'=i^post2, tmp___0^0'=tmp___0^post2, sum^0'=sum^post2, (imax^0-imax^post2 == 0 /\ -big^post2+big^0 == 0 /\ -tmp^post2+tmp^0 == 0 /\ temp^0-temp^post2 == 0 /\ -sum^post2+sum^0 == 0 /\ -k^post2+k^0 == 0 /\ -tmp___0^post2+tmp___0^0 == 0 /\ dum^0-dum^post2 == 0 /\ j^0-j^post2 == 0 /\ -i^post2+i^0 == 0 /\ n^0-n^post2 == 0), cost: 1 3: l4 -> l5 : j^0'=j^post3, dum^0'=dum^post3, tmp^0'=tmp^post3, n^0'=n^post3, imax^0'=imax^post3, big^0'=big^post3, temp^0'=temp^post3, k^0'=k^post3, i^0'=i^post3, tmp___0^0'=tmp___0^post3, sum^0'=sum^post3, (-tmp___0^post3+tmp___0^0 == 0 /\ -imax^post3+imax^0 == 0 /\ -1-j^0+j^post3 == 0 /\ -temp^post3+temp^0 == 0 /\ i^0-i^post3 == 0 /\ tmp^0-tmp^post3 == 0 /\ k^0-k^post3 == 0 /\ -sum^post3+sum^0 == 0 /\ dum^0-dum^post3 == 0 /\ -big^post3+big^0 == 0 /\ n^0-n^post3 == 0), cost: 1 41: l5 -> l27 : j^0'=j^post41, dum^0'=dum^post41, tmp^0'=tmp^post41, n^0'=n^post41, imax^0'=imax^post41, big^0'=big^post41, temp^0'=temp^post41, k^0'=k^post41, i^0'=i^post41, tmp___0^0'=tmp___0^post41, sum^0'=sum^post41, (n^0-n^post41 == 0 /\ -temp^post41+temp^0 == 0 /\ j^0-j^post41 == 0 /\ tmp^0-tmp^post41 == 0 /\ i^0-i^post41 == 0 /\ -imax^post41+imax^0 == 0 /\ -big^post41+big^0 == 0 /\ k^0-k^post41 == 0 /\ dum^0-dum^post41 == 0 /\ -tmp___0^post41+tmp___0^0 == 0 /\ -sum^post41+sum^0 == 0), cost: 1 4: l6 -> l4 : j^0'=j^post4, dum^0'=dum^post4, tmp^0'=tmp^post4, n^0'=n^post4, imax^0'=imax^post4, big^0'=big^post4, temp^0'=temp^post4, k^0'=k^post4, i^0'=i^post4, tmp___0^0'=tmp___0^post4, sum^0'=sum^post4, (-tmp___0^post4+tmp___0^0 == 0 /\ -dum^post4+dum^0 == 0 /\ temp^0-temp^post4 == 0 /\ 1+n^0-i^0 <= 0 /\ -sum^post4+sum^0 == 0 /\ -i^post4+i^0 == 0 /\ j^0-j^post4 == 0 /\ n^0-n^post4 == 0 /\ tmp^0-tmp^post4 == 0 /\ imax^0-imax^post4 == 0 /\ k^0-k^post4 == 0 /\ -big^post4+big^0 == 0), cost: 1 5: l6 -> l7 : j^0'=j^post5, dum^0'=dum^post5, tmp^0'=tmp^post5, n^0'=n^post5, imax^0'=imax^post5, big^0'=big^post5, temp^0'=temp^post5, k^0'=k^post5, i^0'=i^post5, tmp___0^0'=tmp___0^post5, sum^0'=sum^post5, (-k^post5+k^0 == 0 /\ -tmp___0^post5+tmp___0^0 == 0 /\ -sum^post5+sum^0 == 0 /\ -n^post5+n^0 == 0 /\ imax^0-imax^post5 == 0 /\ -temp^post5+temp^0 == 0 /\ j^0-j^post5 == 0 /\ -1+i^post5-i^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post5 == 0 /\ big^0-big^post5 == 0 /\ tmp^0-tmp^post5 == 0), cost: 1 6: l7 -> l6 : j^0'=j^post6, dum^0'=dum^post6, tmp^0'=tmp^post6, n^0'=n^post6, imax^0'=imax^post6, big^0'=big^post6, temp^0'=temp^post6, k^0'=k^post6, i^0'=i^post6, tmp___0^0'=tmp___0^post6, sum^0'=sum^post6, (-imax^post6+imax^0 == 0 /\ -big^post6+big^0 == 0 /\ j^0-j^post6 == 0 /\ n^0-n^post6 == 0 /\ -tmp___0^post6+tmp___0^0 == 0 /\ -sum^post6+sum^0 == 0 /\ -temp^post6+temp^0 == 0 /\ dum^0-dum^post6 == 0 /\ k^0-k^post6 == 0 /\ -i^post6+i^0 == 0 /\ tmp^0-tmp^post6 == 0), cost: 1 7: l8 -> l7 : j^0'=j^post7, dum^0'=dum^post7, tmp^0'=tmp^post7, n^0'=n^post7, imax^0'=imax^post7, big^0'=big^post7, temp^0'=temp^post7, k^0'=k^post7, i^0'=i^post7, tmp___0^0'=tmp___0^post7, sum^0'=sum^post7, (0 == 0 /\ -i^post7+i^0 == 0 /\ -n^post7+n^0 == 0 /\ -sum^post7+sum^0 == 0 /\ -big^post7+big^0 == 0 /\ temp^0-temp^post7 == 0 /\ imax^0-imax^post7 == 0 /\ j^0-j^post7 == 0 /\ tmp^0-tmp^post7 == 0 /\ -tmp___0^post7+tmp___0^0 == 0 /\ -k^post7+k^0 == 0), cost: 1 8: l9 -> l4 : j^0'=j^post8, dum^0'=dum^post8, tmp^0'=tmp^post8, n^0'=n^post8, imax^0'=imax^post8, big^0'=big^post8, temp^0'=temp^post8, k^0'=k^post8, i^0'=i^post8, tmp___0^0'=tmp___0^post8, sum^0'=sum^post8, (i^0-i^post8 == 0 /\ -tmp___0^post8+tmp___0^0 == 0 /\ -j^0+n^0 <= 0 /\ dum^0-dum^post8 == 0 /\ big^0-big^post8 == 0 /\ -temp^post8+temp^0 == 0 /\ -k^post8+k^0 == 0 /\ j^0-n^0 <= 0 /\ tmp^0-tmp^post8 == 0 /\ imax^0-imax^post8 == 0 /\ -sum^post8+sum^0 == 0 /\ j^0-j^post8 == 0 /\ -n^post8+n^0 == 0), cost: 1 9: l9 -> l8 : j^0'=j^post9, dum^0'=dum^post9, tmp^0'=tmp^post9, n^0'=n^post9, imax^0'=imax^post9, big^0'=big^post9, temp^0'=temp^post9, k^0'=k^post9, i^0'=i^post9, tmp___0^0'=tmp___0^post9, sum^0'=sum^post9, (-tmp___0^post9+tmp___0^0 == 0 /\ 1-j^0+n^0 <= 0 /\ -imax^post9+imax^0 == 0 /\ n^0-n^post9 == 0 /\ -sum^post9+sum^0 == 0 /\ -dum^post9+dum^0 == 0 /\ temp^0-temp^post9 == 0 /\ j^0-j^post9 == 0 /\ -i^post9+i^0 == 0 /\ tmp^0-tmp^post9 == 0 /\ k^0-k^post9 == 0 /\ -big^post9+big^0 == 0), cost: 1 10: l9 -> l8 : j^0'=j^post10, dum^0'=dum^post10, tmp^0'=tmp^post10, n^0'=n^post10, imax^0'=imax^post10, big^0'=big^post10, temp^0'=temp^post10, k^0'=k^post10, i^0'=i^post10, tmp___0^0'=tmp___0^post10, sum^0'=sum^post10, (j^0-j^post10 == 0 /\ temp^0-temp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0 /\ -tmp^post10+tmp^0 == 0 /\ -i^post10+i^0 == 0 /\ imax^0-imax^post10 == 0 /\ 1+j^0-n^0 <= 0 /\ -k^post10+k^0 == 0 /\ big^0-big^post10 == 0 /\ -n^post10+n^0 == 0 /\ dum^0-dum^post10 == 0 /\ -sum^post10+sum^0 == 0), cost: 1 11: l10 -> l9 : j^0'=j^post11, dum^0'=dum^post11, tmp^0'=tmp^post11, n^0'=n^post11, imax^0'=imax^post11, big^0'=big^post11, temp^0'=temp^post11, k^0'=k^post11, i^0'=i^post11, tmp___0^0'=tmp___0^post11, sum^0'=sum^post11, (j^0-j^post11 == 0 /\ -imax^post11+imax^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ k^0-k^post11 == 0 /\ -i^post11+i^0 == 0 /\ dum^0-dum^post11 == 0 /\ big^0-big^post11 == 0 /\ -tmp___0^post11+tmp___0^0 == 0 /\ -temp^post11+temp^0 == 0 /\ -sum^post11+sum^0 == 0 /\ n^0-n^post11 == 0), cost: 1 12: l10 -> l9 : j^0'=j^post12, dum^0'=dum^post12, tmp^0'=tmp^post12, n^0'=n^post12, imax^0'=imax^post12, big^0'=big^post12, temp^0'=temp^post12, k^0'=k^post12, i^0'=i^post12, tmp___0^0'=tmp___0^post12, sum^0'=sum^post12, (imax^0-imax^post12 == 0 /\ -big^post12+big^0 == 0 /\ temp^0-temp^post12 == 0 /\ -k^post12+k^0 == 0 /\ -tmp___0^post12+tmp___0^0 == 0 /\ -sum^post12+sum^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ dum^0-dum^post12 == 0 /\ j^0-j^post12 == 0 /\ n^0-n^post12 == 0 /\ -i^post12+i^0 == 0), cost: 1 13: l10 -> l9 : j^0'=j^post13, dum^0'=dum^post13, tmp^0'=tmp^post13, n^0'=n^post13, imax^0'=imax^post13, big^0'=big^post13, temp^0'=temp^post13, k^0'=k^post13, i^0'=i^post13, tmp___0^0'=tmp___0^post13, sum^0'=sum^post13, (dum^0-dum^post13 == 0 /\ big^0-big^post13 == 0 /\ -tmp___0^post13+tmp___0^0 == 0 /\ -temp^post13+temp^0 == 0 /\ -n^post13+n^0 == 0 /\ -k^post13+k^0 == 0 /\ -i^post13+i^0 == 0 /\ imax^0-imax^post13 == 0 /\ -sum^post13+sum^0 == 0 /\ -j^post13+j^0 == 0 /\ tmp^0-tmp^post13 == 0), cost: 1 14: l11 -> l10 : j^0'=j^post14, dum^0'=dum^post14, tmp^0'=tmp^post14, n^0'=n^post14, imax^0'=imax^post14, big^0'=big^post14, temp^0'=temp^post14, k^0'=k^post14, i^0'=i^post14, tmp___0^0'=tmp___0^post14, sum^0'=sum^post14, (-imax^post14+imax^0 == 0 /\ -tmp___0^post14+tmp___0^0 == 0 /\ n^0-n^post14 == 0 /\ -big^post14+big^0 == 0 /\ -sum^post14+sum^0 == 0 /\ k^0-k^post14 == 0 /\ j^0-j^post14 == 0 /\ -i^post14+i^0 == 0 /\ -temp^post14+temp^0 == 0 /\ tmp^0-tmp^post14 == 0 /\ dum^0-dum^post14 == 0), cost: 1 15: l12 -> l11 : j^0'=j^post15, dum^0'=dum^post15, tmp^0'=tmp^post15, n^0'=n^post15, imax^0'=imax^post15, big^0'=big^post15, temp^0'=temp^post15, k^0'=k^post15, i^0'=i^post15, tmp___0^0'=tmp___0^post15, sum^0'=sum^post15, (-k^post15+k^0 == 0 /\ -sum^post15+sum^0 == 0 /\ tmp^0-tmp^post15 == 0 /\ -i^post15+i^0 == 0 /\ 1+n^0-k^0 <= 0 /\ -tmp___0^post15+tmp___0^0 == 0 /\ j^0-j^post15 == 0 /\ -n^post15+n^0 == 0 /\ imax^0-imax^post15 == 0 /\ -temp^post15+temp^0 == 0 /\ dum^0-dum^post15 == 0 /\ big^0-big^post15 == 0), cost: 1 16: l12 -> l13 : j^0'=j^post16, dum^0'=dum^post16, tmp^0'=tmp^post16, n^0'=n^post16, imax^0'=imax^post16, big^0'=big^post16, temp^0'=temp^post16, k^0'=k^post16, i^0'=i^post16, tmp___0^0'=tmp___0^post16, sum^0'=sum^post16, (0 == 0 /\ -n^0+k^0 <= 0 /\ -imax^post16+imax^0 == 0 /\ big^0-big^post16 == 0 /\ -tmp___0^post16+tmp___0^0 == 0 /\ -sum^post16+sum^0 == 0 /\ tmp^0-tmp^post16 == 0 /\ i^0-i^post16 == 0 /\ -temp^post16+temp^0 == 0 /\ j^0-j^post16 == 0 /\ n^0-n^post16 == 0 /\ -1-k^0+k^post16 == 0), cost: 1 17: l13 -> l12 : j^0'=j^post17, dum^0'=dum^post17, tmp^0'=tmp^post17, n^0'=n^post17, imax^0'=imax^post17, big^0'=big^post17, temp^0'=temp^post17, k^0'=k^post17, i^0'=i^post17, tmp___0^0'=tmp___0^post17, sum^0'=sum^post17, (-dum^post17+dum^0 == 0 /\ -big^post17+big^0 == 0 /\ -tmp___0^post17+tmp___0^0 == 0 /\ -sum^post17+sum^0 == 0 /\ temp^0-temp^post17 == 0 /\ -tmp^post17+tmp^0 == 0 /\ n^0-n^post17 == 0 /\ imax^0-imax^post17 == 0 /\ -k^post17+k^0 == 0 /\ j^0-j^post17 == 0 /\ -i^post17+i^0 == 0), cost: 1 18: l14 -> l11 : j^0'=j^post18, dum^0'=dum^post18, tmp^0'=tmp^post18, n^0'=n^post18, imax^0'=imax^post18, big^0'=big^post18, temp^0'=temp^post18, k^0'=k^post18, i^0'=i^post18, tmp___0^0'=tmp___0^post18, sum^0'=sum^post18, (i^0-i^post18 == 0 /\ -j^0+imax^0 <= 0 /\ -sum^post18+sum^0 == 0 /\ -n^post18+n^0 == 0 /\ j^0-imax^0 <= 0 /\ dum^0-dum^post18 == 0 /\ big^0-big^post18 == 0 /\ tmp^0-tmp^post18 == 0 /\ -tmp___0^post18+tmp___0^0 == 0 /\ imax^0-imax^post18 == 0 /\ -k^post18+k^0 == 0 /\ j^0-j^post18 == 0 /\ -temp^post18+temp^0 == 0), cost: 1 19: l14 -> l13 : j^0'=j^post19, dum^0'=dum^post19, tmp^0'=tmp^post19, n^0'=n^post19, imax^0'=imax^post19, big^0'=big^post19, temp^0'=temp^post19, k^0'=k^post19, i^0'=i^post19, tmp___0^0'=tmp___0^post19, sum^0'=sum^post19, (-tmp___0^post19+tmp___0^0 == 0 /\ 1-j^0+imax^0 <= 0 /\ -imax^post19+imax^0 == 0 /\ n^0-n^post19 == 0 /\ -i^post19+i^0 == 0 /\ temp^0-temp^post19 == 0 /\ -sum^post19+sum^0 == 0 /\ -dum^post19+dum^0 == 0 /\ j^0-j^post19 == 0 /\ tmp^0-tmp^post19 == 0 /\ k^0-k^post19 == 0 /\ -big^post19+big^0 == 0), cost: 1 20: l14 -> l13 : j^0'=j^post20, dum^0'=dum^post20, tmp^0'=tmp^post20, n^0'=n^post20, imax^0'=imax^post20, big^0'=big^post20, temp^0'=temp^post20, k^0'=k^post20, i^0'=i^post20, tmp___0^0'=tmp___0^post20, sum^0'=sum^post20, (-tmp___0^post20+tmp___0^0 == 0 /\ big^0-big^post20 == 0 /\ 1+j^0-imax^0 <= 0 /\ -k^post20+k^0 == 0 /\ -n^post20+n^0 == 0 /\ -sum^post20+sum^0 == 0 /\ imax^0-imax^post20 == 0 /\ j^0-j^post20 == 0 /\ -i^post20+i^0 == 0 /\ -temp^post20+temp^0 == 0 /\ tmp^0-tmp^post20 == 0 /\ dum^0-dum^post20 == 0), cost: 1 21: l15 -> l16 : j^0'=j^post21, dum^0'=dum^post21, tmp^0'=tmp^post21, n^0'=n^post21, imax^0'=imax^post21, big^0'=big^post21, temp^0'=temp^post21, k^0'=k^post21, i^0'=i^post21, tmp___0^0'=tmp___0^post21, sum^0'=sum^post21, (-imax^post21+imax^0 == 0 /\ j^0-j^post21 == 0 /\ -big^post21+big^0 == 0 /\ tmp^0-tmp^post21 == 0 /\ n^0-n^post21 == 0 /\ -tmp___0^post21+tmp___0^0 == 0 /\ -sum^post21+sum^0 == 0 /\ -temp^post21+temp^0 == 0 /\ -1+i^post21-i^0 == 0 /\ k^0-k^post21 == 0 /\ dum^0-dum^post21 == 0), cost: 1 32: l16 -> l21 : j^0'=j^post32, dum^0'=dum^post32, tmp^0'=tmp^post32, n^0'=n^post32, imax^0'=imax^post32, big^0'=big^post32, temp^0'=temp^post32, k^0'=k^post32, i^0'=i^post32, tmp___0^0'=tmp___0^post32, sum^0'=sum^post32, (-k^post32+k^0 == 0 /\ -big^post32+big^0 == 0 /\ imax^0-imax^post32 == 0 /\ temp^0-temp^post32 == 0 /\ dum^0-dum^post32 == 0 /\ -tmp___0^post32+tmp___0^0 == 0 /\ -sum^post32+sum^0 == 0 /\ -tmp^post32+tmp^0 == 0 /\ j^0-j^post32 == 0 /\ -i^post32+i^0 == 0 /\ n^0-n^post32 == 0), cost: 1 22: l17 -> l15 : j^0'=j^post22, dum^0'=dum^post22, tmp^0'=tmp^post22, n^0'=n^post22, imax^0'=imax^post22, big^0'=big^post22, temp^0'=temp^post22, k^0'=k^post22, i^0'=i^post22, tmp___0^0'=tmp___0^post22, sum^0'=sum^post22, (-big^post22+big^0 == 0 /\ 1+dum^0-big^0 <= 0 /\ -k^post22+k^0 == 0 /\ imax^0-imax^post22 == 0 /\ temp^0-temp^post22 == 0 /\ dum^0-dum^post22 == 0 /\ -tmp___0^post22+tmp___0^0 == 0 /\ -sum^post22+sum^0 == 0 /\ -tmp^post22+tmp^0 == 0 /\ j^0-j^post22 == 0 /\ n^0-n^post22 == 0 /\ -i^post22+i^0 == 0), cost: 1 23: l17 -> l15 : j^0'=j^post23, dum^0'=dum^post23, tmp^0'=tmp^post23, n^0'=n^post23, imax^0'=imax^post23, big^0'=big^post23, temp^0'=temp^post23, k^0'=k^post23, i^0'=i^post23, tmp___0^0'=tmp___0^post23, sum^0'=sum^post23, (-i^0+imax^post23 == 0 /\ -tmp___0^post23+tmp___0^0 == 0 /\ k^0-k^post23 == 0 /\ -sum^post23+sum^0 == 0 /\ -n^post23+n^0 == 0 /\ -dum^0+big^0 <= 0 /\ tmp^0-tmp^post23 == 0 /\ dum^0-dum^post23 == 0 /\ i^0-i^post23 == 0 /\ -temp^post23+temp^0 == 0 /\ -dum^0+big^post23 == 0 /\ j^0-j^post23 == 0), cost: 1 24: l18 -> l5 : j^0'=j^post24, dum^0'=dum^post24, tmp^0'=tmp^post24, n^0'=n^post24, imax^0'=imax^post24, big^0'=big^post24, temp^0'=temp^post24, k^0'=k^post24, i^0'=i^post24, tmp___0^0'=tmp___0^post24, sum^0'=sum^post24, (-sum^post24+sum^0 == 0 /\ -dum^post24+dum^0 == 0 /\ -big^post24+big^0 == 0 /\ temp^0-temp^post24 == 0 /\ -i^post24+i^0 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post24 == 0 /\ n^0-n^post24 == 0 /\ -tmp___0^post24+tmp___0^0 == 0 /\ tmp^0-tmp^post24 == 0 /\ imax^0-imax^post24 == 0 /\ -k^post24+k^0 == 0), cost: 1 25: l18 -> l3 : j^0'=j^post25, dum^0'=dum^post25, tmp^0'=tmp^post25, n^0'=n^post25, imax^0'=imax^post25, big^0'=big^post25, temp^0'=temp^post25, k^0'=k^post25, i^0'=i^post25, tmp___0^0'=tmp___0^post25, sum^0'=sum^post25, (-sum^post25+sum^0 == 0 /\ tmp___0^0-tmp___0^post25 == 0 /\ -i^post25+i^0 == 0 /\ -tmp^post25+tmp^0 == 0 /\ j^0-j^post25 == 0 /\ -n^post25+n^0 == 0 /\ imax^0-imax^post25 == 0 /\ big^post25 == 0 /\ -temp^post25+temp^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post25 == 0 /\ -k^post25+k^0 == 0), cost: 1 26: l19 -> l17 : j^0'=j^post26, dum^0'=dum^post26, tmp^0'=tmp^post26, n^0'=n^post26, imax^0'=imax^post26, big^0'=big^post26, temp^0'=temp^post26, k^0'=k^post26, i^0'=i^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post26, (0 == 0 /\ -sum^post26+sum^0 == 0 /\ tmp^0-tmp^post26 == 0 /\ n^0-n^post26 == 0 /\ -big^post26+big^0 == 0 /\ -imax^post26+imax^0 == 0 /\ -i^post26+i^0 == 0 /\ j^0-j^post26 == 0 /\ -temp^post26+temp^0 == 0 /\ k^0-k^post26 == 0 /\ j^0-k^0 <= 0), cost: 1 27: l19 -> l20 : j^0'=j^post27, dum^0'=dum^post27, tmp^0'=tmp^post27, n^0'=n^post27, imax^0'=imax^post27, big^0'=big^post27, temp^0'=temp^post27, k^0'=k^post27, i^0'=i^post27, tmp___0^0'=tmp___0^post27, sum^0'=sum^post27, (0 == 0 /\ temp^0-temp^post27 == 0 /\ -n^post27+n^0 == 0 /\ tmp___0^0-tmp___0^post27 == 0 /\ -1+k^post27-k^0 == 0 /\ imax^0-imax^post27 == 0 /\ dum^0-dum^post27 == 0 /\ big^0-big^post27 == 0 /\ -tmp^post27+tmp^0 == 0 /\ 1-j^0+k^0 <= 0 /\ j^0-j^post27 == 0 /\ -i^post27+i^0 == 0), cost: 1 28: l20 -> l19 : j^0'=j^post28, dum^0'=dum^post28, tmp^0'=tmp^post28, n^0'=n^post28, imax^0'=imax^post28, big^0'=big^post28, temp^0'=temp^post28, k^0'=k^post28, i^0'=i^post28, tmp___0^0'=tmp___0^post28, sum^0'=sum^post28, (i^0-i^post28 == 0 /\ -n^post28+n^0 == 0 /\ dum^0-dum^post28 == 0 /\ big^0-big^post28 == 0 /\ j^0-j^post28 == 0 /\ tmp^0-tmp^post28 == 0 /\ imax^0-imax^post28 == 0 /\ -sum^post28+sum^0 == 0 /\ -tmp___0^post28+tmp___0^0 == 0 /\ -k^post28+k^0 == 0 /\ -temp^post28+temp^0 == 0), cost: 1 29: l21 -> l14 : j^0'=j^post29, dum^0'=dum^post29, tmp^0'=tmp^post29, n^0'=n^post29, imax^0'=imax^post29, big^0'=big^post29, temp^0'=temp^post29, k^0'=k^post29, i^0'=i^post29, tmp___0^0'=tmp___0^post29, sum^0'=sum^post29, (-dum^post29+dum^0 == 0 /\ -i^post29+i^0 == 0 /\ -sum^post29+sum^0 == 0 /\ -big^post29+big^0 == 0 /\ n^0-n^post29 == 0 /\ temp^0-temp^post29 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post29 == 0 /\ tmp^0-tmp^post29 == 0 /\ -tmp___0^post29+tmp___0^0 == 0 /\ imax^0-imax^post29 == 0 /\ -k^post29+k^0 == 0), cost: 1 30: l21 -> l20 : j^0'=j^post30, dum^0'=dum^post30, tmp^0'=tmp^post30, n^0'=n^post30, imax^0'=imax^post30, big^0'=big^post30, temp^0'=temp^post30, k^0'=k^post30, i^0'=i^post30, tmp___0^0'=tmp___0^post30, sum^0'=sum^post30, (0 == 0 /\ tmp___0^0-tmp___0^post30 == 0 /\ dum^0-dum^post30 == 0 /\ big^0-big^post30 == 0 /\ j^0-j^post30 == 0 /\ -temp^post30+temp^0 == 0 /\ -k^post30+k^0 == 0 /\ imax^0-imax^post30 == 0 /\ -i^post30+i^0 == 0 /\ -tmp^post30+tmp^0 == 0 /\ -n^0+i^0 <= 0 /\ -n^post30+n^0 == 0), cost: 1 31: l22 -> l18 : j^0'=j^post31, dum^0'=dum^post31, tmp^0'=tmp^post31, n^0'=n^post31, imax^0'=imax^post31, big^0'=big^post31, temp^0'=temp^post31, k^0'=k^post31, i^0'=i^post31, tmp___0^0'=tmp___0^post31, sum^0'=sum^post31, (-imax^post31+imax^0 == 0 /\ dum^0-dum^post31 == 0 /\ k^0-k^post31 == 0 /\ big^0-big^post31 == 0 /\ i^0-i^post31 == 0 /\ -tmp___0^post31+tmp___0^0 == 0 /\ tmp^0-tmp^post31 == 0 /\ -sum^post31+sum^0 == 0 /\ -temp^post31+temp^0 == 0 /\ j^0-j^post31 == 0 /\ n^0-n^post31 == 0), cost: 1 33: l23 -> l24 : j^0'=j^post33, dum^0'=dum^post33, tmp^0'=tmp^post33, n^0'=n^post33, imax^0'=imax^post33, big^0'=big^post33, temp^0'=temp^post33, k^0'=k^post33, i^0'=i^post33, tmp___0^0'=tmp___0^post33, sum^0'=sum^post33, (-1+i^post33-i^0 == 0 /\ big^0-big^post33 == 0 /\ -tmp___0^post33+tmp___0^0 == 0 /\ -n^post33+n^0 == 0 /\ dum^0-dum^post33 == 0 /\ -sum^post33+sum^0 == 0 /\ imax^0-imax^post33 == 0 /\ -k^0+i^0 <= 0 /\ -k^post33+k^0 == 0 /\ -j^post33+j^0 == 0 /\ tmp^0-tmp^post33 == 0 /\ -temp^post33+temp^0 == 0), cost: 1 34: l23 -> l25 : j^0'=j^post34, dum^0'=dum^post34, tmp^0'=tmp^post34, n^0'=n^post34, imax^0'=imax^post34, big^0'=big^post34, temp^0'=temp^post34, k^0'=k^post34, i^0'=i^post34, tmp___0^0'=tmp___0^post34, sum^0'=sum^post34, (0 == 0 /\ -i^post34+i^0 == 0 /\ n^0-n^post34 == 0 /\ -1-k^0+k^post34 == 0 /\ j^0-j^post34 == 0 /\ -big^post34+big^0 == 0 /\ -tmp___0^post34+tmp___0^0 == 0 /\ 1+k^0-i^0 <= 0 /\ -temp^post34+temp^0 == 0 /\ tmp^0-tmp^post34 == 0 /\ -imax^post34+imax^0 == 0 /\ dum^0-dum^post34 == 0), cost: 1 38: l24 -> l26 : j^0'=j^post38, dum^0'=dum^post38, tmp^0'=tmp^post38, n^0'=n^post38, imax^0'=imax^post38, big^0'=big^post38, temp^0'=temp^post38, k^0'=k^post38, i^0'=i^post38, tmp___0^0'=tmp___0^post38, sum^0'=sum^post38, (big^0-big^post38 == 0 /\ i^0-i^post38 == 0 /\ -n^post38+n^0 == 0 /\ dum^0-dum^post38 == 0 /\ j^0-j^post38 == 0 /\ tmp^0-tmp^post38 == 0 /\ imax^0-imax^post38 == 0 /\ -k^post38+k^0 == 0 /\ -tmp___0^post38+tmp___0^0 == 0 /\ -sum^post38+sum^0 == 0 /\ -temp^post38+temp^0 == 0), cost: 1 35: l25 -> l23 : j^0'=j^post35, dum^0'=dum^post35, tmp^0'=tmp^post35, n^0'=n^post35, imax^0'=imax^post35, big^0'=big^post35, temp^0'=temp^post35, k^0'=k^post35, i^0'=i^post35, tmp___0^0'=tmp___0^post35, sum^0'=sum^post35, (-sum^post35+sum^0 == 0 /\ tmp___0^0-tmp___0^post35 == 0 /\ -i^post35+i^0 == 0 /\ -tmp^post35+tmp^0 == 0 /\ imax^0-imax^post35 == 0 /\ j^0-j^post35 == 0 /\ -n^post35+n^0 == 0 /\ -temp^post35+temp^0 == 0 /\ dum^0-dum^post35 == 0 /\ big^0-big^post35 == 0 /\ -k^post35+k^0 == 0), cost: 1 36: l26 -> l16 : j^0'=j^post36, dum^0'=dum^post36, tmp^0'=tmp^post36, n^0'=n^post36, imax^0'=imax^post36, big^0'=big^post36, temp^0'=temp^post36, k^0'=k^post36, i^0'=i^post36, tmp___0^0'=tmp___0^post36, sum^0'=sum^post36, (n^0-n^post36 == 0 /\ -temp^post36+temp^0 == 0 /\ j^0-i^0 <= 0 /\ k^0-k^post36 == 0 /\ -tmp___0^post36+tmp___0^0 == 0 /\ -sum^post36+sum^0 == 0 /\ i^0-i^post36 == 0 /\ tmp^0-tmp^post36 == 0 /\ -imax^post36+imax^0 == 0 /\ dum^0-dum^post36 == 0 /\ j^0-j^post36 == 0 /\ big^post36 == 0), cost: 1 37: l26 -> l25 : j^0'=j^post37, dum^0'=dum^post37, tmp^0'=tmp^post37, n^0'=n^post37, imax^0'=imax^post37, big^0'=big^post37, temp^0'=temp^post37, k^0'=k^post37, i^0'=i^post37, tmp___0^0'=tmp___0^post37, sum^0'=sum^post37, (0 == 0 /\ -dum^post37+dum^0 == 0 /\ 1-j^0+i^0 <= 0 /\ -i^post37+i^0 == 0 /\ temp^0-temp^post37 == 0 /\ -tmp^post37+tmp^0 == 0 /\ n^0-n^post37 == 0 /\ -big^post37+big^0 == 0 /\ -k^post37+k^0 == 0 /\ j^0-j^post37 == 0 /\ -tmp___0^post37+tmp___0^0 == 0 /\ imax^0-imax^post37 == 0), cost: 1 40: l27 -> l24 : j^0'=j^post40, dum^0'=dum^post40, tmp^0'=tmp^post40, n^0'=n^post40, imax^0'=imax^post40, big^0'=big^post40, temp^0'=temp^post40, k^0'=k^post40, i^0'=i^post40, tmp___0^0'=tmp___0^post40, sum^0'=sum^post40, (-n^post40+n^0 == 0 /\ temp^0-temp^post40 == 0 /\ -i^post40+i^0 == 0 /\ tmp___0^0-tmp___0^post40 == 0 /\ j^0-n^0 <= 0 /\ imax^0-imax^post40 == 0 /\ -tmp^post40+tmp^0 == 0 /\ j^0-j^post40 == 0 /\ -k^post40+k^0 == 0 /\ -sum^post40+sum^0 == 0 /\ dum^0-dum^post40 == 0 /\ big^0-big^post40 == 0), cost: 1 42: l29 -> l22 : j^0'=j^post42, dum^0'=dum^post42, tmp^0'=tmp^post42, n^0'=n^post42, imax^0'=imax^post42, big^0'=big^post42, temp^0'=temp^post42, k^0'=k^post42, i^0'=i^post42, tmp___0^0'=tmp___0^post42, sum^0'=sum^post42, (-big^post42+big^0 == 0 /\ -k^post42+k^0 == 0 /\ imax^0-imax^post42 == 0 /\ temp^0-temp^post42 == 0 /\ dum^0-dum^post42 == 0 /\ -sum^post42+sum^0 == 0 /\ -tmp___0^post42+tmp___0^0 == 0 /\ -tmp^post42+tmp^0 == 0 /\ -i^post42+i^0 == 0 /\ j^0-j^post42 == 0 /\ n^0-n^post42 == 0), cost: 1 43: l30 -> l22 : j^0'=j^post43, dum^0'=dum^post43, tmp^0'=tmp^post43, n^0'=n^post43, imax^0'=imax^post43, big^0'=big^post43, temp^0'=temp^post43, k^0'=k^post43, i^0'=i^post43, tmp___0^0'=tmp___0^post43, sum^0'=sum^post43, (big^0-big^post43 == 0 /\ -temp^post43+temp^0 == 0 /\ -n^post43+n^0 == 0 /\ -sum^post43+sum^0 == 0 /\ tmp^0-tmp^post43 == 0 /\ dum^0-dum^post43 == 0 /\ -k^post43+k^0 == 0 /\ imax^0-imax^post43 == 0 /\ -tmp___0^post43+tmp___0^0 == 0 /\ j^0-j^post43 == 0 /\ -1-i^0+i^post43 == 0), cost: 1 47: l31 -> l3 : j^0'=j^post47, dum^0'=dum^post47, tmp^0'=tmp^post47, n^0'=n^post47, imax^0'=imax^post47, big^0'=big^post47, temp^0'=temp^post47, k^0'=k^post47, i^0'=i^post47, tmp___0^0'=tmp___0^post47, sum^0'=sum^post47, (temp^0-temp^post47 == 0 /\ -n^post47+n^0 == 0 /\ tmp___0^0-tmp___0^post47 == 0 /\ -i^post47+i^0 == 0 /\ imax^0-imax^post47 == 0 /\ -k^post47+k^0 == 0 /\ dum^0-dum^post47 == 0 /\ big^0-big^post47 == 0 /\ -1-j^0+j^post47 == 0 /\ -tmp^post47+tmp^0 == 0 /\ -sum^post47+sum^0 == 0), cost: 1 50: l32 -> l29 : j^0'=j^post50, dum^0'=dum^post50, tmp^0'=tmp^post50, n^0'=n^post50, imax^0'=imax^post50, big^0'=big^post50, temp^0'=temp^post50, k^0'=k^post50, i^0'=i^post50, tmp___0^0'=tmp___0^post50, sum^0'=sum^post50, (dum^0-dum^post50 == 0 /\ -tmp___0^post50+tmp___0^0 == 0 /\ big^0-big^post50 == 0 /\ -k^post50+k^0 == 0 /\ -tmp^post50+tmp^0 == 0 /\ -temp^post50+temp^0 == 0 /\ imax^0-imax^post50 == 0 /\ -i^post50+i^0 == 0 /\ -sum^post50+sum^0 == 0 /\ -j^post50+j^0 == 0 /\ -n^post50+n^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : j^0'=j^post0, dum^0'=dum^post0, tmp^0'=tmp^post0, n^0'=n^post0, imax^0'=imax^post0, big^0'=big^post0, temp^0'=temp^post0, k^0'=k^post0, i^0'=i^post0, tmp___0^0'=tmp___0^post0, sum^0'=sum^post0, (-tmp___0^post0+tmp___0^0 == 0 /\ -n^post0+n^0 == 0 /\ dum^0-dum^post0 == 0 /\ big^0-big^post0 == 0 /\ 1-j^0+n^0 <= 0 /\ -temp^post0+temp^0 == 0 /\ -sum^post0+sum^0 == 0 /\ -k^post0+k^0 == 0 /\ -i^post0+i^0 == 0 /\ j^0-j^post0 == 0 /\ tmp^0-tmp^post0 == 0 /\ imax^0-imax^post0 == 0), cost: 1 New rule: l0 -> l1 : 1-j^0+n^0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : j^0'=j^post1, dum^0'=dum^post1, tmp^0'=tmp^post1, n^0'=n^post1, imax^0'=imax^post1, big^0'=big^post1, temp^0'=temp^post1, k^0'=k^post1, i^0'=i^post1, tmp___0^0'=tmp___0^post1, sum^0'=sum^post1, (0 == 0 /\ j^0-j^post1 == 0 /\ -imax^post1+imax^0 == 0 /\ -i^post1+i^0 == 0 /\ n^0-n^post1 == 0 /\ j^0-n^0 <= 0 /\ temp^post1-tmp^post1 == 0 /\ -big^post1+big^0 == 0 /\ dum^0-dum^post1 == 0 /\ k^0-k^post1 == 0 /\ -tmp___0^post1+tmp___0^0 == 0 /\ -sum^post1+sum^0 == 0), cost: 1 New rule: l0 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : j^0'=j^post2, dum^0'=dum^post2, tmp^0'=tmp^post2, n^0'=n^post2, imax^0'=imax^post2, big^0'=big^post2, temp^0'=temp^post2, k^0'=k^post2, i^0'=i^post2, tmp___0^0'=tmp___0^post2, sum^0'=sum^post2, (imax^0-imax^post2 == 0 /\ -big^post2+big^0 == 0 /\ -tmp^post2+tmp^0 == 0 /\ temp^0-temp^post2 == 0 /\ -sum^post2+sum^0 == 0 /\ -k^post2+k^0 == 0 /\ -tmp___0^post2+tmp___0^0 == 0 /\ dum^0-dum^post2 == 0 /\ j^0-j^post2 == 0 /\ -i^post2+i^0 == 0 /\ n^0-n^post2 == 0), cost: 1 New rule: l3 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l5 : j^0'=j^post3, dum^0'=dum^post3, tmp^0'=tmp^post3, n^0'=n^post3, imax^0'=imax^post3, big^0'=big^post3, temp^0'=temp^post3, k^0'=k^post3, i^0'=i^post3, tmp___0^0'=tmp___0^post3, sum^0'=sum^post3, (-tmp___0^post3+tmp___0^0 == 0 /\ -imax^post3+imax^0 == 0 /\ -1-j^0+j^post3 == 0 /\ -temp^post3+temp^0 == 0 /\ i^0-i^post3 == 0 /\ tmp^0-tmp^post3 == 0 /\ k^0-k^post3 == 0 /\ -sum^post3+sum^0 == 0 /\ dum^0-dum^post3 == 0 /\ -big^post3+big^0 == 0 /\ n^0-n^post3 == 0), cost: 1 New rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l4 : j^0'=j^post4, dum^0'=dum^post4, tmp^0'=tmp^post4, n^0'=n^post4, imax^0'=imax^post4, big^0'=big^post4, temp^0'=temp^post4, k^0'=k^post4, i^0'=i^post4, tmp___0^0'=tmp___0^post4, sum^0'=sum^post4, (-tmp___0^post4+tmp___0^0 == 0 /\ -dum^post4+dum^0 == 0 /\ temp^0-temp^post4 == 0 /\ 1+n^0-i^0 <= 0 /\ -sum^post4+sum^0 == 0 /\ -i^post4+i^0 == 0 /\ j^0-j^post4 == 0 /\ n^0-n^post4 == 0 /\ tmp^0-tmp^post4 == 0 /\ imax^0-imax^post4 == 0 /\ k^0-k^post4 == 0 /\ -big^post4+big^0 == 0), cost: 1 New rule: l6 -> l4 : 1+n^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l7 : j^0'=j^post5, dum^0'=dum^post5, tmp^0'=tmp^post5, n^0'=n^post5, imax^0'=imax^post5, big^0'=big^post5, temp^0'=temp^post5, k^0'=k^post5, i^0'=i^post5, tmp___0^0'=tmp___0^post5, sum^0'=sum^post5, (-k^post5+k^0 == 0 /\ -tmp___0^post5+tmp___0^0 == 0 /\ -sum^post5+sum^0 == 0 /\ -n^post5+n^0 == 0 /\ imax^0-imax^post5 == 0 /\ -temp^post5+temp^0 == 0 /\ j^0-j^post5 == 0 /\ -1+i^post5-i^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post5 == 0 /\ big^0-big^post5 == 0 /\ tmp^0-tmp^post5 == 0), cost: 1 New rule: l6 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l7 -> l6 : j^0'=j^post6, dum^0'=dum^post6, tmp^0'=tmp^post6, n^0'=n^post6, imax^0'=imax^post6, big^0'=big^post6, temp^0'=temp^post6, k^0'=k^post6, i^0'=i^post6, tmp___0^0'=tmp___0^post6, sum^0'=sum^post6, (-imax^post6+imax^0 == 0 /\ -big^post6+big^0 == 0 /\ j^0-j^post6 == 0 /\ n^0-n^post6 == 0 /\ -tmp___0^post6+tmp___0^0 == 0 /\ -sum^post6+sum^0 == 0 /\ -temp^post6+temp^0 == 0 /\ dum^0-dum^post6 == 0 /\ k^0-k^post6 == 0 /\ -i^post6+i^0 == 0 /\ tmp^0-tmp^post6 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : j^0'=j^post7, dum^0'=dum^post7, tmp^0'=tmp^post7, n^0'=n^post7, imax^0'=imax^post7, big^0'=big^post7, temp^0'=temp^post7, k^0'=k^post7, i^0'=i^post7, tmp___0^0'=tmp___0^post7, sum^0'=sum^post7, (0 == 0 /\ -i^post7+i^0 == 0 /\ -n^post7+n^0 == 0 /\ -sum^post7+sum^0 == 0 /\ -big^post7+big^0 == 0 /\ temp^0-temp^post7 == 0 /\ imax^0-imax^post7 == 0 /\ j^0-j^post7 == 0 /\ tmp^0-tmp^post7 == 0 /\ -tmp___0^post7+tmp___0^0 == 0 /\ -k^post7+k^0 == 0), cost: 1 New rule: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l4 : j^0'=j^post8, dum^0'=dum^post8, tmp^0'=tmp^post8, n^0'=n^post8, imax^0'=imax^post8, big^0'=big^post8, temp^0'=temp^post8, k^0'=k^post8, i^0'=i^post8, tmp___0^0'=tmp___0^post8, sum^0'=sum^post8, (i^0-i^post8 == 0 /\ -tmp___0^post8+tmp___0^0 == 0 /\ -j^0+n^0 <= 0 /\ dum^0-dum^post8 == 0 /\ big^0-big^post8 == 0 /\ -temp^post8+temp^0 == 0 /\ -k^post8+k^0 == 0 /\ j^0-n^0 <= 0 /\ tmp^0-tmp^post8 == 0 /\ imax^0-imax^post8 == 0 /\ -sum^post8+sum^0 == 0 /\ j^0-j^post8 == 0 /\ -n^post8+n^0 == 0), cost: 1 New rule: l9 -> l4 : -j^0+n^0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : j^0'=j^post9, dum^0'=dum^post9, tmp^0'=tmp^post9, n^0'=n^post9, imax^0'=imax^post9, big^0'=big^post9, temp^0'=temp^post9, k^0'=k^post9, i^0'=i^post9, tmp___0^0'=tmp___0^post9, sum^0'=sum^post9, (-tmp___0^post9+tmp___0^0 == 0 /\ 1-j^0+n^0 <= 0 /\ -imax^post9+imax^0 == 0 /\ n^0-n^post9 == 0 /\ -sum^post9+sum^0 == 0 /\ -dum^post9+dum^0 == 0 /\ temp^0-temp^post9 == 0 /\ j^0-j^post9 == 0 /\ -i^post9+i^0 == 0 /\ tmp^0-tmp^post9 == 0 /\ k^0-k^post9 == 0 /\ -big^post9+big^0 == 0), cost: 1 New rule: l9 -> l8 : 1-j^0+n^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : j^0'=j^post10, dum^0'=dum^post10, tmp^0'=tmp^post10, n^0'=n^post10, imax^0'=imax^post10, big^0'=big^post10, temp^0'=temp^post10, k^0'=k^post10, i^0'=i^post10, tmp___0^0'=tmp___0^post10, sum^0'=sum^post10, (j^0-j^post10 == 0 /\ temp^0-temp^post10 == 0 /\ tmp___0^0-tmp___0^post10 == 0 /\ -tmp^post10+tmp^0 == 0 /\ -i^post10+i^0 == 0 /\ imax^0-imax^post10 == 0 /\ 1+j^0-n^0 <= 0 /\ -k^post10+k^0 == 0 /\ big^0-big^post10 == 0 /\ -n^post10+n^0 == 0 /\ dum^0-dum^post10 == 0 /\ -sum^post10+sum^0 == 0), cost: 1 New rule: l9 -> l8 : 1+j^0-n^0 <= 0, cost: 1 Applied preprocessing Original rule: l10 -> l9 : j^0'=j^post11, dum^0'=dum^post11, tmp^0'=tmp^post11, n^0'=n^post11, imax^0'=imax^post11, big^0'=big^post11, temp^0'=temp^post11, k^0'=k^post11, i^0'=i^post11, tmp___0^0'=tmp___0^post11, sum^0'=sum^post11, (j^0-j^post11 == 0 /\ -imax^post11+imax^0 == 0 /\ tmp^0-tmp^post11 == 0 /\ k^0-k^post11 == 0 /\ -i^post11+i^0 == 0 /\ dum^0-dum^post11 == 0 /\ big^0-big^post11 == 0 /\ -tmp___0^post11+tmp___0^0 == 0 /\ -temp^post11+temp^0 == 0 /\ -sum^post11+sum^0 == 0 /\ n^0-n^post11 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : j^0'=j^post12, dum^0'=dum^post12, tmp^0'=tmp^post12, n^0'=n^post12, imax^0'=imax^post12, big^0'=big^post12, temp^0'=temp^post12, k^0'=k^post12, i^0'=i^post12, tmp___0^0'=tmp___0^post12, sum^0'=sum^post12, (imax^0-imax^post12 == 0 /\ -big^post12+big^0 == 0 /\ temp^0-temp^post12 == 0 /\ -k^post12+k^0 == 0 /\ -tmp___0^post12+tmp___0^0 == 0 /\ -sum^post12+sum^0 == 0 /\ -tmp^post12+tmp^0 == 0 /\ dum^0-dum^post12 == 0 /\ j^0-j^post12 == 0 /\ n^0-n^post12 == 0 /\ -i^post12+i^0 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : j^0'=j^post13, dum^0'=dum^post13, tmp^0'=tmp^post13, n^0'=n^post13, imax^0'=imax^post13, big^0'=big^post13, temp^0'=temp^post13, k^0'=k^post13, i^0'=i^post13, tmp___0^0'=tmp___0^post13, sum^0'=sum^post13, (dum^0-dum^post13 == 0 /\ big^0-big^post13 == 0 /\ -tmp___0^post13+tmp___0^0 == 0 /\ -temp^post13+temp^0 == 0 /\ -n^post13+n^0 == 0 /\ -k^post13+k^0 == 0 /\ -i^post13+i^0 == 0 /\ imax^0-imax^post13 == 0 /\ -sum^post13+sum^0 == 0 /\ -j^post13+j^0 == 0 /\ tmp^0-tmp^post13 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l11 -> l10 : j^0'=j^post14, dum^0'=dum^post14, tmp^0'=tmp^post14, n^0'=n^post14, imax^0'=imax^post14, big^0'=big^post14, temp^0'=temp^post14, k^0'=k^post14, i^0'=i^post14, tmp___0^0'=tmp___0^post14, sum^0'=sum^post14, (-imax^post14+imax^0 == 0 /\ -tmp___0^post14+tmp___0^0 == 0 /\ n^0-n^post14 == 0 /\ -big^post14+big^0 == 0 /\ -sum^post14+sum^0 == 0 /\ k^0-k^post14 == 0 /\ j^0-j^post14 == 0 /\ -i^post14+i^0 == 0 /\ -temp^post14+temp^0 == 0 /\ tmp^0-tmp^post14 == 0 /\ dum^0-dum^post14 == 0), cost: 1 New rule: l11 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l11 : j^0'=j^post15, dum^0'=dum^post15, tmp^0'=tmp^post15, n^0'=n^post15, imax^0'=imax^post15, big^0'=big^post15, temp^0'=temp^post15, k^0'=k^post15, i^0'=i^post15, tmp___0^0'=tmp___0^post15, sum^0'=sum^post15, (-k^post15+k^0 == 0 /\ -sum^post15+sum^0 == 0 /\ tmp^0-tmp^post15 == 0 /\ -i^post15+i^0 == 0 /\ 1+n^0-k^0 <= 0 /\ -tmp___0^post15+tmp___0^0 == 0 /\ j^0-j^post15 == 0 /\ -n^post15+n^0 == 0 /\ imax^0-imax^post15 == 0 /\ -temp^post15+temp^0 == 0 /\ dum^0-dum^post15 == 0 /\ big^0-big^post15 == 0), cost: 1 New rule: l12 -> l11 : 1+n^0-k^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l13 : j^0'=j^post16, dum^0'=dum^post16, tmp^0'=tmp^post16, n^0'=n^post16, imax^0'=imax^post16, big^0'=big^post16, temp^0'=temp^post16, k^0'=k^post16, i^0'=i^post16, tmp___0^0'=tmp___0^post16, sum^0'=sum^post16, (0 == 0 /\ -n^0+k^0 <= 0 /\ -imax^post16+imax^0 == 0 /\ big^0-big^post16 == 0 /\ -tmp___0^post16+tmp___0^0 == 0 /\ -sum^post16+sum^0 == 0 /\ tmp^0-tmp^post16 == 0 /\ i^0-i^post16 == 0 /\ -temp^post16+temp^0 == 0 /\ j^0-j^post16 == 0 /\ n^0-n^post16 == 0 /\ -1-k^0+k^post16 == 0), cost: 1 New rule: l12 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 1 Applied preprocessing Original rule: l13 -> l12 : j^0'=j^post17, dum^0'=dum^post17, tmp^0'=tmp^post17, n^0'=n^post17, imax^0'=imax^post17, big^0'=big^post17, temp^0'=temp^post17, k^0'=k^post17, i^0'=i^post17, tmp___0^0'=tmp___0^post17, sum^0'=sum^post17, (-dum^post17+dum^0 == 0 /\ -big^post17+big^0 == 0 /\ -tmp___0^post17+tmp___0^0 == 0 /\ -sum^post17+sum^0 == 0 /\ temp^0-temp^post17 == 0 /\ -tmp^post17+tmp^0 == 0 /\ n^0-n^post17 == 0 /\ imax^0-imax^post17 == 0 /\ -k^post17+k^0 == 0 /\ j^0-j^post17 == 0 /\ -i^post17+i^0 == 0), cost: 1 New rule: l13 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l11 : j^0'=j^post18, dum^0'=dum^post18, tmp^0'=tmp^post18, n^0'=n^post18, imax^0'=imax^post18, big^0'=big^post18, temp^0'=temp^post18, k^0'=k^post18, i^0'=i^post18, tmp___0^0'=tmp___0^post18, sum^0'=sum^post18, (i^0-i^post18 == 0 /\ -j^0+imax^0 <= 0 /\ -sum^post18+sum^0 == 0 /\ -n^post18+n^0 == 0 /\ j^0-imax^0 <= 0 /\ dum^0-dum^post18 == 0 /\ big^0-big^post18 == 0 /\ tmp^0-tmp^post18 == 0 /\ -tmp___0^post18+tmp___0^0 == 0 /\ imax^0-imax^post18 == 0 /\ -k^post18+k^0 == 0 /\ j^0-j^post18 == 0 /\ -temp^post18+temp^0 == 0), cost: 1 New rule: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 Applied preprocessing Original rule: l14 -> l13 : j^0'=j^post19, dum^0'=dum^post19, tmp^0'=tmp^post19, n^0'=n^post19, imax^0'=imax^post19, big^0'=big^post19, temp^0'=temp^post19, k^0'=k^post19, i^0'=i^post19, tmp___0^0'=tmp___0^post19, sum^0'=sum^post19, (-tmp___0^post19+tmp___0^0 == 0 /\ 1-j^0+imax^0 <= 0 /\ -imax^post19+imax^0 == 0 /\ n^0-n^post19 == 0 /\ -i^post19+i^0 == 0 /\ temp^0-temp^post19 == 0 /\ -sum^post19+sum^0 == 0 /\ -dum^post19+dum^0 == 0 /\ j^0-j^post19 == 0 /\ tmp^0-tmp^post19 == 0 /\ k^0-k^post19 == 0 /\ -big^post19+big^0 == 0), cost: 1 New rule: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 Applied preprocessing Original rule: l14 -> l13 : j^0'=j^post20, dum^0'=dum^post20, tmp^0'=tmp^post20, n^0'=n^post20, imax^0'=imax^post20, big^0'=big^post20, temp^0'=temp^post20, k^0'=k^post20, i^0'=i^post20, tmp___0^0'=tmp___0^post20, sum^0'=sum^post20, (-tmp___0^post20+tmp___0^0 == 0 /\ big^0-big^post20 == 0 /\ 1+j^0-imax^0 <= 0 /\ -k^post20+k^0 == 0 /\ -n^post20+n^0 == 0 /\ -sum^post20+sum^0 == 0 /\ imax^0-imax^post20 == 0 /\ j^0-j^post20 == 0 /\ -i^post20+i^0 == 0 /\ -temp^post20+temp^0 == 0 /\ tmp^0-tmp^post20 == 0 /\ dum^0-dum^post20 == 0), cost: 1 New rule: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 Applied preprocessing Original rule: l15 -> l16 : j^0'=j^post21, dum^0'=dum^post21, tmp^0'=tmp^post21, n^0'=n^post21, imax^0'=imax^post21, big^0'=big^post21, temp^0'=temp^post21, k^0'=k^post21, i^0'=i^post21, tmp___0^0'=tmp___0^post21, sum^0'=sum^post21, (-imax^post21+imax^0 == 0 /\ j^0-j^post21 == 0 /\ -big^post21+big^0 == 0 /\ tmp^0-tmp^post21 == 0 /\ n^0-n^post21 == 0 /\ -tmp___0^post21+tmp___0^0 == 0 /\ -sum^post21+sum^0 == 0 /\ -temp^post21+temp^0 == 0 /\ -1+i^post21-i^0 == 0 /\ k^0-k^post21 == 0 /\ dum^0-dum^post21 == 0), cost: 1 New rule: l15 -> l16 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l17 -> l15 : j^0'=j^post22, dum^0'=dum^post22, tmp^0'=tmp^post22, n^0'=n^post22, imax^0'=imax^post22, big^0'=big^post22, temp^0'=temp^post22, k^0'=k^post22, i^0'=i^post22, tmp___0^0'=tmp___0^post22, sum^0'=sum^post22, (-big^post22+big^0 == 0 /\ 1+dum^0-big^0 <= 0 /\ -k^post22+k^0 == 0 /\ imax^0-imax^post22 == 0 /\ temp^0-temp^post22 == 0 /\ dum^0-dum^post22 == 0 /\ -tmp___0^post22+tmp___0^0 == 0 /\ -sum^post22+sum^0 == 0 /\ -tmp^post22+tmp^0 == 0 /\ j^0-j^post22 == 0 /\ n^0-n^post22 == 0 /\ -i^post22+i^0 == 0), cost: 1 New rule: l17 -> l15 : 1+dum^0-big^0 <= 0, cost: 1 Applied preprocessing Original rule: l17 -> l15 : j^0'=j^post23, dum^0'=dum^post23, tmp^0'=tmp^post23, n^0'=n^post23, imax^0'=imax^post23, big^0'=big^post23, temp^0'=temp^post23, k^0'=k^post23, i^0'=i^post23, tmp___0^0'=tmp___0^post23, sum^0'=sum^post23, (-i^0+imax^post23 == 0 /\ -tmp___0^post23+tmp___0^0 == 0 /\ k^0-k^post23 == 0 /\ -sum^post23+sum^0 == 0 /\ -n^post23+n^0 == 0 /\ -dum^0+big^0 <= 0 /\ tmp^0-tmp^post23 == 0 /\ dum^0-dum^post23 == 0 /\ i^0-i^post23 == 0 /\ -temp^post23+temp^0 == 0 /\ -dum^0+big^post23 == 0 /\ j^0-j^post23 == 0), cost: 1 New rule: l17 -> l15 : imax^0'=i^0, big^0'=dum^0, -dum^0+big^0 <= 0, cost: 1 Applied preprocessing Original rule: l18 -> l5 : j^0'=j^post24, dum^0'=dum^post24, tmp^0'=tmp^post24, n^0'=n^post24, imax^0'=imax^post24, big^0'=big^post24, temp^0'=temp^post24, k^0'=k^post24, i^0'=i^post24, tmp___0^0'=tmp___0^post24, sum^0'=sum^post24, (-sum^post24+sum^0 == 0 /\ -dum^post24+dum^0 == 0 /\ -big^post24+big^0 == 0 /\ temp^0-temp^post24 == 0 /\ -i^post24+i^0 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post24 == 0 /\ n^0-n^post24 == 0 /\ -tmp___0^post24+tmp___0^0 == 0 /\ tmp^0-tmp^post24 == 0 /\ imax^0-imax^post24 == 0 /\ -k^post24+k^0 == 0), cost: 1 New rule: l18 -> l5 : 1+n^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l18 -> l3 : j^0'=j^post25, dum^0'=dum^post25, tmp^0'=tmp^post25, n^0'=n^post25, imax^0'=imax^post25, big^0'=big^post25, temp^0'=temp^post25, k^0'=k^post25, i^0'=i^post25, tmp___0^0'=tmp___0^post25, sum^0'=sum^post25, (-sum^post25+sum^0 == 0 /\ tmp___0^0-tmp___0^post25 == 0 /\ -i^post25+i^0 == 0 /\ -tmp^post25+tmp^0 == 0 /\ j^0-j^post25 == 0 /\ -n^post25+n^0 == 0 /\ imax^0-imax^post25 == 0 /\ big^post25 == 0 /\ -temp^post25+temp^0 == 0 /\ -n^0+i^0 <= 0 /\ dum^0-dum^post25 == 0 /\ -k^post25+k^0 == 0), cost: 1 New rule: l18 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l19 -> l17 : j^0'=j^post26, dum^0'=dum^post26, tmp^0'=tmp^post26, n^0'=n^post26, imax^0'=imax^post26, big^0'=big^post26, temp^0'=temp^post26, k^0'=k^post26, i^0'=i^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post26, (0 == 0 /\ -sum^post26+sum^0 == 0 /\ tmp^0-tmp^post26 == 0 /\ n^0-n^post26 == 0 /\ -big^post26+big^0 == 0 /\ -imax^post26+imax^0 == 0 /\ -i^post26+i^0 == 0 /\ j^0-j^post26 == 0 /\ -temp^post26+temp^0 == 0 /\ k^0-k^post26 == 0 /\ j^0-k^0 <= 0), cost: 1 New rule: l19 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 1 Applied preprocessing Original rule: l19 -> l20 : j^0'=j^post27, dum^0'=dum^post27, tmp^0'=tmp^post27, n^0'=n^post27, imax^0'=imax^post27, big^0'=big^post27, temp^0'=temp^post27, k^0'=k^post27, i^0'=i^post27, tmp___0^0'=tmp___0^post27, sum^0'=sum^post27, (0 == 0 /\ temp^0-temp^post27 == 0 /\ -n^post27+n^0 == 0 /\ tmp___0^0-tmp___0^post27 == 0 /\ -1+k^post27-k^0 == 0 /\ imax^0-imax^post27 == 0 /\ dum^0-dum^post27 == 0 /\ big^0-big^post27 == 0 /\ -tmp^post27+tmp^0 == 0 /\ 1-j^0+k^0 <= 0 /\ j^0-j^post27 == 0 /\ -i^post27+i^0 == 0), cost: 1 New rule: l19 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 1 Applied preprocessing Original rule: l20 -> l19 : j^0'=j^post28, dum^0'=dum^post28, tmp^0'=tmp^post28, n^0'=n^post28, imax^0'=imax^post28, big^0'=big^post28, temp^0'=temp^post28, k^0'=k^post28, i^0'=i^post28, tmp___0^0'=tmp___0^post28, sum^0'=sum^post28, (i^0-i^post28 == 0 /\ -n^post28+n^0 == 0 /\ dum^0-dum^post28 == 0 /\ big^0-big^post28 == 0 /\ j^0-j^post28 == 0 /\ tmp^0-tmp^post28 == 0 /\ imax^0-imax^post28 == 0 /\ -sum^post28+sum^0 == 0 /\ -tmp___0^post28+tmp___0^0 == 0 /\ -k^post28+k^0 == 0 /\ -temp^post28+temp^0 == 0), cost: 1 New rule: l20 -> l19 : TRUE, cost: 1 Applied preprocessing Original rule: l21 -> l14 : j^0'=j^post29, dum^0'=dum^post29, tmp^0'=tmp^post29, n^0'=n^post29, imax^0'=imax^post29, big^0'=big^post29, temp^0'=temp^post29, k^0'=k^post29, i^0'=i^post29, tmp___0^0'=tmp___0^post29, sum^0'=sum^post29, (-dum^post29+dum^0 == 0 /\ -i^post29+i^0 == 0 /\ -sum^post29+sum^0 == 0 /\ -big^post29+big^0 == 0 /\ n^0-n^post29 == 0 /\ temp^0-temp^post29 == 0 /\ 1+n^0-i^0 <= 0 /\ j^0-j^post29 == 0 /\ tmp^0-tmp^post29 == 0 /\ -tmp___0^post29+tmp___0^0 == 0 /\ imax^0-imax^post29 == 0 /\ -k^post29+k^0 == 0), cost: 1 New rule: l21 -> l14 : 1+n^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l21 -> l20 : j^0'=j^post30, dum^0'=dum^post30, tmp^0'=tmp^post30, n^0'=n^post30, imax^0'=imax^post30, big^0'=big^post30, temp^0'=temp^post30, k^0'=k^post30, i^0'=i^post30, tmp___0^0'=tmp___0^post30, sum^0'=sum^post30, (0 == 0 /\ tmp___0^0-tmp___0^post30 == 0 /\ dum^0-dum^post30 == 0 /\ big^0-big^post30 == 0 /\ j^0-j^post30 == 0 /\ -temp^post30+temp^0 == 0 /\ -k^post30+k^0 == 0 /\ imax^0-imax^post30 == 0 /\ -i^post30+i^0 == 0 /\ -tmp^post30+tmp^0 == 0 /\ -n^0+i^0 <= 0 /\ -n^post30+n^0 == 0), cost: 1 New rule: l21 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l22 -> l18 : j^0'=j^post31, dum^0'=dum^post31, tmp^0'=tmp^post31, n^0'=n^post31, imax^0'=imax^post31, big^0'=big^post31, temp^0'=temp^post31, k^0'=k^post31, i^0'=i^post31, tmp___0^0'=tmp___0^post31, sum^0'=sum^post31, (-imax^post31+imax^0 == 0 /\ dum^0-dum^post31 == 0 /\ k^0-k^post31 == 0 /\ big^0-big^post31 == 0 /\ i^0-i^post31 == 0 /\ -tmp___0^post31+tmp___0^0 == 0 /\ tmp^0-tmp^post31 == 0 /\ -sum^post31+sum^0 == 0 /\ -temp^post31+temp^0 == 0 /\ j^0-j^post31 == 0 /\ n^0-n^post31 == 0), cost: 1 New rule: l22 -> l18 : TRUE, cost: 1 Applied preprocessing Original rule: l16 -> l21 : j^0'=j^post32, dum^0'=dum^post32, tmp^0'=tmp^post32, n^0'=n^post32, imax^0'=imax^post32, big^0'=big^post32, temp^0'=temp^post32, k^0'=k^post32, i^0'=i^post32, tmp___0^0'=tmp___0^post32, sum^0'=sum^post32, (-k^post32+k^0 == 0 /\ -big^post32+big^0 == 0 /\ imax^0-imax^post32 == 0 /\ temp^0-temp^post32 == 0 /\ dum^0-dum^post32 == 0 /\ -tmp___0^post32+tmp___0^0 == 0 /\ -sum^post32+sum^0 == 0 /\ -tmp^post32+tmp^0 == 0 /\ j^0-j^post32 == 0 /\ -i^post32+i^0 == 0 /\ n^0-n^post32 == 0), cost: 1 New rule: l16 -> l21 : TRUE, cost: 1 Applied preprocessing Original rule: l23 -> l24 : j^0'=j^post33, dum^0'=dum^post33, tmp^0'=tmp^post33, n^0'=n^post33, imax^0'=imax^post33, big^0'=big^post33, temp^0'=temp^post33, k^0'=k^post33, i^0'=i^post33, tmp___0^0'=tmp___0^post33, sum^0'=sum^post33, (-1+i^post33-i^0 == 0 /\ big^0-big^post33 == 0 /\ -tmp___0^post33+tmp___0^0 == 0 /\ -n^post33+n^0 == 0 /\ dum^0-dum^post33 == 0 /\ -sum^post33+sum^0 == 0 /\ imax^0-imax^post33 == 0 /\ -k^0+i^0 <= 0 /\ -k^post33+k^0 == 0 /\ -j^post33+j^0 == 0 /\ tmp^0-tmp^post33 == 0 /\ -temp^post33+temp^0 == 0), cost: 1 New rule: l23 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l23 -> l25 : j^0'=j^post34, dum^0'=dum^post34, tmp^0'=tmp^post34, n^0'=n^post34, imax^0'=imax^post34, big^0'=big^post34, temp^0'=temp^post34, k^0'=k^post34, i^0'=i^post34, tmp___0^0'=tmp___0^post34, sum^0'=sum^post34, (0 == 0 /\ -i^post34+i^0 == 0 /\ n^0-n^post34 == 0 /\ -1-k^0+k^post34 == 0 /\ j^0-j^post34 == 0 /\ -big^post34+big^0 == 0 /\ -tmp___0^post34+tmp___0^0 == 0 /\ 1+k^0-i^0 <= 0 /\ -temp^post34+temp^0 == 0 /\ tmp^0-tmp^post34 == 0 /\ -imax^post34+imax^0 == 0 /\ dum^0-dum^post34 == 0), cost: 1 New rule: l23 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l25 -> l23 : j^0'=j^post35, dum^0'=dum^post35, tmp^0'=tmp^post35, n^0'=n^post35, imax^0'=imax^post35, big^0'=big^post35, temp^0'=temp^post35, k^0'=k^post35, i^0'=i^post35, tmp___0^0'=tmp___0^post35, sum^0'=sum^post35, (-sum^post35+sum^0 == 0 /\ tmp___0^0-tmp___0^post35 == 0 /\ -i^post35+i^0 == 0 /\ -tmp^post35+tmp^0 == 0 /\ imax^0-imax^post35 == 0 /\ j^0-j^post35 == 0 /\ -n^post35+n^0 == 0 /\ -temp^post35+temp^0 == 0 /\ dum^0-dum^post35 == 0 /\ big^0-big^post35 == 0 /\ -k^post35+k^0 == 0), cost: 1 New rule: l25 -> l23 : TRUE, cost: 1 Applied preprocessing Original rule: l26 -> l16 : j^0'=j^post36, dum^0'=dum^post36, tmp^0'=tmp^post36, n^0'=n^post36, imax^0'=imax^post36, big^0'=big^post36, temp^0'=temp^post36, k^0'=k^post36, i^0'=i^post36, tmp___0^0'=tmp___0^post36, sum^0'=sum^post36, (n^0-n^post36 == 0 /\ -temp^post36+temp^0 == 0 /\ j^0-i^0 <= 0 /\ k^0-k^post36 == 0 /\ -tmp___0^post36+tmp___0^0 == 0 /\ -sum^post36+sum^0 == 0 /\ i^0-i^post36 == 0 /\ tmp^0-tmp^post36 == 0 /\ -imax^post36+imax^0 == 0 /\ dum^0-dum^post36 == 0 /\ j^0-j^post36 == 0 /\ big^post36 == 0), cost: 1 New rule: l26 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l26 -> l25 : j^0'=j^post37, dum^0'=dum^post37, tmp^0'=tmp^post37, n^0'=n^post37, imax^0'=imax^post37, big^0'=big^post37, temp^0'=temp^post37, k^0'=k^post37, i^0'=i^post37, tmp___0^0'=tmp___0^post37, sum^0'=sum^post37, (0 == 0 /\ -dum^post37+dum^0 == 0 /\ 1-j^0+i^0 <= 0 /\ -i^post37+i^0 == 0 /\ temp^0-temp^post37 == 0 /\ -tmp^post37+tmp^0 == 0 /\ n^0-n^post37 == 0 /\ -big^post37+big^0 == 0 /\ -k^post37+k^0 == 0 /\ j^0-j^post37 == 0 /\ -tmp___0^post37+tmp___0^0 == 0 /\ imax^0-imax^post37 == 0), cost: 1 New rule: l26 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l24 -> l26 : j^0'=j^post38, dum^0'=dum^post38, tmp^0'=tmp^post38, n^0'=n^post38, imax^0'=imax^post38, big^0'=big^post38, temp^0'=temp^post38, k^0'=k^post38, i^0'=i^post38, tmp___0^0'=tmp___0^post38, sum^0'=sum^post38, (big^0-big^post38 == 0 /\ i^0-i^post38 == 0 /\ -n^post38+n^0 == 0 /\ dum^0-dum^post38 == 0 /\ j^0-j^post38 == 0 /\ tmp^0-tmp^post38 == 0 /\ imax^0-imax^post38 == 0 /\ -k^post38+k^0 == 0 /\ -tmp___0^post38+tmp___0^0 == 0 /\ -sum^post38+sum^0 == 0 /\ -temp^post38+temp^0 == 0), cost: 1 New rule: l24 -> l26 : TRUE, cost: 1 Applied preprocessing Original rule: l27 -> l24 : j^0'=j^post40, dum^0'=dum^post40, tmp^0'=tmp^post40, n^0'=n^post40, imax^0'=imax^post40, big^0'=big^post40, temp^0'=temp^post40, k^0'=k^post40, i^0'=i^post40, tmp___0^0'=tmp___0^post40, sum^0'=sum^post40, (-n^post40+n^0 == 0 /\ temp^0-temp^post40 == 0 /\ -i^post40+i^0 == 0 /\ tmp___0^0-tmp___0^post40 == 0 /\ j^0-n^0 <= 0 /\ imax^0-imax^post40 == 0 /\ -tmp^post40+tmp^0 == 0 /\ j^0-j^post40 == 0 /\ -k^post40+k^0 == 0 /\ -sum^post40+sum^0 == 0 /\ dum^0-dum^post40 == 0 /\ big^0-big^post40 == 0), cost: 1 New rule: l27 -> l24 : j^0-n^0 <= 0, cost: 1 Applied preprocessing Original rule: l5 -> l27 : j^0'=j^post41, dum^0'=dum^post41, tmp^0'=tmp^post41, n^0'=n^post41, imax^0'=imax^post41, big^0'=big^post41, temp^0'=temp^post41, k^0'=k^post41, i^0'=i^post41, tmp___0^0'=tmp___0^post41, sum^0'=sum^post41, (n^0-n^post41 == 0 /\ -temp^post41+temp^0 == 0 /\ j^0-j^post41 == 0 /\ tmp^0-tmp^post41 == 0 /\ i^0-i^post41 == 0 /\ -imax^post41+imax^0 == 0 /\ -big^post41+big^0 == 0 /\ k^0-k^post41 == 0 /\ dum^0-dum^post41 == 0 /\ -tmp___0^post41+tmp___0^0 == 0 /\ -sum^post41+sum^0 == 0), cost: 1 New rule: l5 -> l27 : TRUE, cost: 1 Applied preprocessing Original rule: l29 -> l22 : j^0'=j^post42, dum^0'=dum^post42, tmp^0'=tmp^post42, n^0'=n^post42, imax^0'=imax^post42, big^0'=big^post42, temp^0'=temp^post42, k^0'=k^post42, i^0'=i^post42, tmp___0^0'=tmp___0^post42, sum^0'=sum^post42, (-big^post42+big^0 == 0 /\ -k^post42+k^0 == 0 /\ imax^0-imax^post42 == 0 /\ temp^0-temp^post42 == 0 /\ dum^0-dum^post42 == 0 /\ -sum^post42+sum^0 == 0 /\ -tmp___0^post42+tmp___0^0 == 0 /\ -tmp^post42+tmp^0 == 0 /\ -i^post42+i^0 == 0 /\ j^0-j^post42 == 0 /\ n^0-n^post42 == 0), cost: 1 New rule: l29 -> l22 : TRUE, cost: 1 Applied preprocessing Original rule: l30 -> l22 : j^0'=j^post43, dum^0'=dum^post43, tmp^0'=tmp^post43, n^0'=n^post43, imax^0'=imax^post43, big^0'=big^post43, temp^0'=temp^post43, k^0'=k^post43, i^0'=i^post43, tmp___0^0'=tmp___0^post43, sum^0'=sum^post43, (big^0-big^post43 == 0 /\ -temp^post43+temp^0 == 0 /\ -n^post43+n^0 == 0 /\ -sum^post43+sum^0 == 0 /\ tmp^0-tmp^post43 == 0 /\ dum^0-dum^post43 == 0 /\ -k^post43+k^0 == 0 /\ imax^0-imax^post43 == 0 /\ -tmp___0^post43+tmp___0^0 == 0 /\ j^0-j^post43 == 0 /\ -1-i^0+i^post43 == 0), cost: 1 New rule: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l30 : j^0'=j^post44, dum^0'=dum^post44, tmp^0'=tmp^post44, n^0'=n^post44, imax^0'=imax^post44, big^0'=big^post44, temp^0'=temp^post44, k^0'=k^post44, i^0'=i^post44, tmp___0^0'=tmp___0^post44, sum^0'=sum^post44, (-dum^post44+dum^0 == 0 /\ -big^post44+big^0 == 0 /\ -i^post44+i^0 == 0 /\ temp^0-temp^post44 == 0 /\ j^0-j^post44 == 0 /\ n^0-n^post44 == 0 /\ tmp^0-tmp^post44 == 0 /\ -sum^post44+sum^0 == 0 /\ imax^0-imax^post44 == 0 /\ -tmp___0^post44+tmp___0^0 == 0 /\ -k^post44+k^0 == 0 /\ 1-big^0 <= 0), cost: 1 New rule: l1 -> l30 : -1+big^0 >= 0, cost: 1 Applied preprocessing Original rule: l1 -> l30 : j^0'=j^post45, dum^0'=dum^post45, tmp^0'=tmp^post45, n^0'=n^post45, imax^0'=imax^post45, big^0'=big^post45, temp^0'=temp^post45, k^0'=k^post45, i^0'=i^post45, tmp___0^0'=tmp___0^post45, sum^0'=sum^post45, (-i^post45+i^0 == 0 /\ tmp___0^0-tmp___0^post45 == 0 /\ -sum^post45+sum^0 == 0 /\ 1+big^0 <= 0 /\ imax^0-imax^post45 == 0 /\ -tmp^post45+tmp^0 == 0 /\ j^0-j^post45 == 0 /\ -temp^post45+temp^0 == 0 /\ -k^post45+k^0 == 0 /\ -n^post45+n^0 == 0 /\ dum^0-dum^post45 == 0 /\ big^0-big^post45 == 0), cost: 1 New rule: l1 -> l30 : 1+big^0 <= 0, cost: 1 Applied preprocessing Original rule: l1 -> l30 : j^0'=j^post46, dum^0'=dum^post46, tmp^0'=tmp^post46, n^0'=n^post46, imax^0'=imax^post46, big^0'=big^post46, temp^0'=temp^post46, k^0'=k^post46, i^0'=i^post46, tmp___0^0'=tmp___0^post46, sum^0'=sum^post46, (n^0-n^post46 == 0 /\ -sum^post46+sum^0 == 0 /\ tmp^0-tmp^post46 == 0 /\ -temp^post46+temp^0 == 0 /\ -i^post46+i^0 == 0 /\ j^0-j^post46 == 0 /\ big^0 <= 0 /\ dum^0-dum^post46 == 0 /\ -tmp___0^post46+tmp___0^0 == 0 /\ -big^post46+big^0 == 0 /\ -imax^post46+imax^0 == 0 /\ k^0-k^post46 == 0 /\ -big^0 <= 0), cost: 1 New rule: l1 -> l30 : big^0 == 0, cost: 1 Applied preprocessing Original rule: l31 -> l3 : j^0'=j^post47, dum^0'=dum^post47, tmp^0'=tmp^post47, n^0'=n^post47, imax^0'=imax^post47, big^0'=big^post47, temp^0'=temp^post47, k^0'=k^post47, i^0'=i^post47, tmp___0^0'=tmp___0^post47, sum^0'=sum^post47, (temp^0-temp^post47 == 0 /\ -n^post47+n^0 == 0 /\ tmp___0^0-tmp___0^post47 == 0 /\ -i^post47+i^0 == 0 /\ imax^0-imax^post47 == 0 /\ -k^post47+k^0 == 0 /\ dum^0-dum^post47 == 0 /\ big^0-big^post47 == 0 /\ -1-j^0+j^post47 == 0 /\ -tmp^post47+tmp^0 == 0 /\ -sum^post47+sum^0 == 0), cost: 1 New rule: l31 -> l3 : j^0'=1+j^0, TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l31 : j^0'=j^post48, dum^0'=dum^post48, tmp^0'=tmp^post48, n^0'=n^post48, imax^0'=imax^post48, big^0'=big^post48, temp^0'=temp^post48, k^0'=k^post48, i^0'=i^post48, tmp___0^0'=tmp___0^post48, sum^0'=sum^post48, (big^0-big^post48 == 0 /\ -temp^post48+temp^0 == 0 /\ -n^post48+n^0 == 0 /\ dum^0-dum^post48 == 0 /\ -i^post48+i^0 == 0 /\ j^0-j^post48 == 0 /\ tmp^0-tmp^post48 == 0 /\ -k^post48+k^0 == 0 /\ -big^0+temp^0 <= 0 /\ -sum^post48+sum^0 == 0 /\ -tmp___0^post48+tmp___0^0 == 0 /\ imax^0-imax^post48 == 0), cost: 1 New rule: l2 -> l31 : -big^0+temp^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l31 : j^0'=j^post49, dum^0'=dum^post49, tmp^0'=tmp^post49, n^0'=n^post49, imax^0'=imax^post49, big^0'=big^post49, temp^0'=temp^post49, k^0'=k^post49, i^0'=i^post49, tmp___0^0'=tmp___0^post49, sum^0'=sum^post49, (-imax^post49+imax^0 == 0 /\ -i^post49+i^0 == 0 /\ n^0-n^post49 == 0 /\ -dum^post49+dum^0 == 0 /\ j^0-j^post49 == 0 /\ 1+big^0-temp^0 <= 0 /\ temp^0-temp^post49 == 0 /\ tmp^0-tmp^post49 == 0 /\ big^post49-temp^0 == 0 /\ -sum^post49+sum^0 == 0 /\ -tmp___0^post49+tmp___0^0 == 0 /\ k^0-k^post49 == 0), cost: 1 New rule: l2 -> l31 : big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 1 Applied preprocessing Original rule: l32 -> l29 : j^0'=j^post50, dum^0'=dum^post50, tmp^0'=tmp^post50, n^0'=n^post50, imax^0'=imax^post50, big^0'=big^post50, temp^0'=temp^post50, k^0'=k^post50, i^0'=i^post50, tmp___0^0'=tmp___0^post50, sum^0'=sum^post50, (dum^0-dum^post50 == 0 /\ -tmp___0^post50+tmp___0^0 == 0 /\ big^0-big^post50 == 0 /\ -k^post50+k^0 == 0 /\ -tmp^post50+tmp^0 == 0 /\ -temp^post50+temp^0 == 0 /\ imax^0-imax^post50 == 0 /\ -i^post50+i^0 == 0 /\ -sum^post50+sum^0 == 0 /\ -j^post50+j^0 == 0 /\ -n^post50+n^0 == 0), cost: 1 New rule: l32 -> l29 : TRUE, cost: 1 Simplified rules Start location: l32 51: l0 -> l1 : 1-j^0+n^0 <= 0, cost: 1 52: l0 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 1 92: l1 -> l30 : -1+big^0 >= 0, cost: 1 93: l1 -> l30 : 1+big^0 <= 0, cost: 1 94: l1 -> l30 : big^0 == 0, cost: 1 96: l2 -> l31 : -big^0+temp^0 <= 0, cost: 1 97: l2 -> l31 : big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 1 53: l3 -> l0 : TRUE, cost: 1 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 89: l5 -> l27 : TRUE, cost: 1 55: l6 -> l4 : 1+n^0-i^0 <= 0, cost: 1 56: l6 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 1 57: l7 -> l6 : TRUE, cost: 1 58: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 59: l9 -> l4 : -j^0+n^0 == 0, cost: 1 60: l9 -> l8 : 1-j^0+n^0 <= 0, cost: 1 61: l9 -> l8 : 1+j^0-n^0 <= 0, cost: 1 62: l10 -> l9 : TRUE, cost: 1 63: l11 -> l10 : TRUE, cost: 1 64: l12 -> l11 : 1+n^0-k^0 <= 0, cost: 1 65: l12 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 1 66: l13 -> l12 : TRUE, cost: 1 67: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 68: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 69: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 70: l15 -> l16 : i^0'=1+i^0, TRUE, cost: 1 81: l16 -> l21 : TRUE, cost: 1 71: l17 -> l15 : 1+dum^0-big^0 <= 0, cost: 1 72: l17 -> l15 : imax^0'=i^0, big^0'=dum^0, -dum^0+big^0 <= 0, cost: 1 73: l18 -> l5 : 1+n^0-i^0 <= 0, cost: 1 74: l18 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 1 75: l19 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 1 76: l19 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 1 77: l20 -> l19 : TRUE, cost: 1 78: l21 -> l14 : 1+n^0-i^0 <= 0, cost: 1 79: l21 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 1 80: l22 -> l18 : TRUE, cost: 1 82: l23 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 1 83: l23 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 1 87: l24 -> l26 : TRUE, cost: 1 84: l25 -> l23 : TRUE, cost: 1 85: l26 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 1 86: l26 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 1 88: l27 -> l24 : j^0-n^0 <= 0, cost: 1 90: l29 -> l22 : TRUE, cost: 1 91: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 95: l31 -> l3 : j^0'=1+j^0, TRUE, cost: 1 98: l32 -> l29 : TRUE, cost: 1 Eliminating location l29 by chaining: Applied chaining First rule: l32 -> l29 : TRUE, cost: 1 Second rule: l29 -> l22 : TRUE, cost: 1 New rule: l32 -> l22 : TRUE, cost: 2 Applied deletion Removed the following rules: 90 98 Eliminating location l27 by chaining: Applied chaining First rule: l5 -> l27 : TRUE, cost: 1 Second rule: l27 -> l24 : j^0-n^0 <= 0, cost: 1 New rule: l5 -> l24 : j^0-n^0 <= 0, cost: 2 Applied deletion Removed the following rules: 88 89 Eliminating location l10 by chaining: Applied chaining First rule: l11 -> l10 : TRUE, cost: 1 Second rule: l10 -> l9 : TRUE, cost: 1 New rule: l11 -> l9 : TRUE, cost: 2 Applied deletion Removed the following rules: 62 63 Eliminated locations on linear paths Start location: l32 51: l0 -> l1 : 1-j^0+n^0 <= 0, cost: 1 52: l0 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 1 92: l1 -> l30 : -1+big^0 >= 0, cost: 1 93: l1 -> l30 : 1+big^0 <= 0, cost: 1 94: l1 -> l30 : big^0 == 0, cost: 1 96: l2 -> l31 : -big^0+temp^0 <= 0, cost: 1 97: l2 -> l31 : big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 1 53: l3 -> l0 : TRUE, cost: 1 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 55: l6 -> l4 : 1+n^0-i^0 <= 0, cost: 1 56: l6 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 1 57: l7 -> l6 : TRUE, cost: 1 58: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 59: l9 -> l4 : -j^0+n^0 == 0, cost: 1 60: l9 -> l8 : 1-j^0+n^0 <= 0, cost: 1 61: l9 -> l8 : 1+j^0-n^0 <= 0, cost: 1 101: l11 -> l9 : TRUE, cost: 2 64: l12 -> l11 : 1+n^0-k^0 <= 0, cost: 1 65: l12 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 1 66: l13 -> l12 : TRUE, cost: 1 67: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 68: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 69: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 70: l15 -> l16 : i^0'=1+i^0, TRUE, cost: 1 81: l16 -> l21 : TRUE, cost: 1 71: l17 -> l15 : 1+dum^0-big^0 <= 0, cost: 1 72: l17 -> l15 : imax^0'=i^0, big^0'=dum^0, -dum^0+big^0 <= 0, cost: 1 73: l18 -> l5 : 1+n^0-i^0 <= 0, cost: 1 74: l18 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 1 75: l19 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 1 76: l19 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 1 77: l20 -> l19 : TRUE, cost: 1 78: l21 -> l14 : 1+n^0-i^0 <= 0, cost: 1 79: l21 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 1 80: l22 -> l18 : TRUE, cost: 1 82: l23 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 1 83: l23 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 1 87: l24 -> l26 : TRUE, cost: 1 84: l25 -> l23 : TRUE, cost: 1 85: l26 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 1 86: l26 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 1 91: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 95: l31 -> l3 : j^0'=1+j^0, TRUE, cost: 1 99: l32 -> l22 : TRUE, cost: 2 Eliminating location l18 by chaining: Applied chaining First rule: l22 -> l18 : TRUE, cost: 1 Second rule: l18 -> l5 : 1+n^0-i^0 <= 0, cost: 1 New rule: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 Applied chaining First rule: l22 -> l18 : TRUE, cost: 1 Second rule: l18 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 1 New rule: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 73 74 80 Eliminating location l0 by chaining: Applied chaining First rule: l3 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : 1-j^0+n^0 <= 0, cost: 1 New rule: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 Applied chaining First rule: l3 -> l0 : TRUE, cost: 1 Second rule: l0 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 1 New rule: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 Applied deletion Removed the following rules: 51 52 53 Eliminating location l30 by chaining: Applied chaining First rule: l1 -> l30 : -1+big^0 >= 0, cost: 1 Second rule: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l22 : i^0'=1+i^0, -1+big^0 >= 0, cost: 2 Applied chaining First rule: l1 -> l30 : 1+big^0 <= 0, cost: 1 Second rule: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l22 : i^0'=1+i^0, 1+big^0 <= 0, cost: 2 Applied chaining First rule: l1 -> l30 : big^0 == 0, cost: 1 Second rule: l30 -> l22 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l22 : i^0'=1+i^0, big^0 == 0, cost: 2 Applied deletion Removed the following rules: 91 92 93 94 Eliminating location l31 by chaining: Applied chaining First rule: l2 -> l31 : -big^0+temp^0 <= 0, cost: 1 Second rule: l31 -> l3 : j^0'=1+j^0, TRUE, cost: 1 New rule: l2 -> l3 : j^0'=1+j^0, -big^0+temp^0 <= 0, cost: 2 Applied chaining First rule: l2 -> l31 : big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 1 Second rule: l31 -> l3 : j^0'=1+j^0, TRUE, cost: 1 New rule: l2 -> l3 : j^0'=1+j^0, big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 2 Applied deletion Removed the following rules: 95 96 97 Eliminating location l26 by chaining: Applied chaining First rule: l24 -> l26 : TRUE, cost: 1 Second rule: l26 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 1 New rule: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 Applied chaining First rule: l24 -> l26 : TRUE, cost: 1 Second rule: l26 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 1 New rule: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 85 86 87 Eliminating location l21 by chaining: Applied chaining First rule: l16 -> l21 : TRUE, cost: 1 Second rule: l21 -> l14 : 1+n^0-i^0 <= 0, cost: 1 New rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Applied chaining First rule: l16 -> l21 : TRUE, cost: 1 Second rule: l21 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 1 New rule: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 78 79 81 Eliminating location l9 by chaining: Applied chaining First rule: l11 -> l9 : TRUE, cost: 2 Second rule: l9 -> l4 : -j^0+n^0 == 0, cost: 1 New rule: l11 -> l4 : -j^0+n^0 == 0, cost: 3 Applied chaining First rule: l11 -> l9 : TRUE, cost: 2 Second rule: l9 -> l8 : 1-j^0+n^0 <= 0, cost: 1 New rule: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 Applied chaining First rule: l11 -> l9 : TRUE, cost: 2 Second rule: l9 -> l8 : 1+j^0-n^0 <= 0, cost: 1 New rule: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 Applied deletion Removed the following rules: 59 60 61 101 Eliminating location l6 by chaining: Applied chaining First rule: l7 -> l6 : TRUE, cost: 1 Second rule: l6 -> l4 : 1+n^0-i^0 <= 0, cost: 1 New rule: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 Applied chaining First rule: l7 -> l6 : TRUE, cost: 1 Second rule: l6 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 1 New rule: l7 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 55 56 57 Eliminating location l12 by chaining: Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l11 : 1+n^0-k^0 <= 0, cost: 1 New rule: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 Applied chaining First rule: l13 -> l12 : TRUE, cost: 1 Second rule: l12 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 1 New rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 2 Applied deletion Removed the following rules: 64 65 66 Eliminating location l19 by chaining: Applied chaining First rule: l20 -> l19 : TRUE, cost: 1 Second rule: l19 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 1 New rule: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 Applied chaining First rule: l20 -> l19 : TRUE, cost: 1 Second rule: l19 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 1 New rule: l20 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 2 Applied deletion Removed the following rules: 75 76 77 Eliminating location l15 by chaining: Applied chaining First rule: l17 -> l15 : 1+dum^0-big^0 <= 0, cost: 1 Second rule: l15 -> l16 : i^0'=1+i^0, TRUE, cost: 1 New rule: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 Applied chaining First rule: l17 -> l15 : imax^0'=i^0, big^0'=dum^0, -dum^0+big^0 <= 0, cost: 1 Second rule: l15 -> l16 : i^0'=1+i^0, TRUE, cost: 1 New rule: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 Applied deletion Removed the following rules: 70 71 72 Eliminating location l23 by chaining: Applied chaining First rule: l25 -> l23 : TRUE, cost: 1 Second rule: l23 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 1 New rule: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 Applied chaining First rule: l25 -> l23 : TRUE, cost: 1 Second rule: l23 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 1 New rule: l25 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 82 83 84 Eliminated locations on tree-shaped paths Start location: l32 106: l1 -> l22 : i^0'=1+i^0, -1+big^0 >= 0, cost: 2 107: l1 -> l22 : i^0'=1+i^0, 1+big^0 <= 0, cost: 2 108: l1 -> l22 : i^0'=1+i^0, big^0 == 0, cost: 2 109: l2 -> l3 : j^0'=1+j^0, -big^0+temp^0 <= 0, cost: 2 110: l2 -> l3 : j^0'=1+j^0, big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 2 104: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 105: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 119: l7 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 2 58: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 116: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 117: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 121: l13 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 2 67: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 68: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 69: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 113: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 114: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 122: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 123: l20 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 2 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 112: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 126: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 127: l25 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 2 99: l32 -> l22 : TRUE, cost: 2 Applied acceleration Original rule: l7 -> l7 : i^0'=1+i^0, -n^0+i^0 <= 0, cost: 2 New rule: l7 -> l7 : i^0'=n+i^0, (1+n^0-n-i^0 >= 0 /\ n >= 0), cost: 2*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_DkNOfJ.txt Applied instantiation Original rule: l7 -> l7 : i^0'=n+i^0, (1+n^0-n-i^0 >= 0 /\ n >= 0), cost: 2*n New rule: l7 -> l7 : i^0'=1+n^0, (0 >= 0 /\ 1+n^0-i^0 >= 0), cost: 2+2*n^0-2*i^0 Applied simplification Original rule: l7 -> l7 : i^0'=1+n^0, (0 >= 0 /\ 1+n^0-i^0 >= 0), cost: 2+2*n^0-2*i^0 New rule: l7 -> l7 : i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 2+2*n^0-2*i^0 Applied deletion Removed the following rules: 119 Applied acceleration Original rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+k^0, -n^0+k^0 <= 0, cost: 2 New rule: l13 -> l13 : dum^0'=dum^post16, k^0'=k^0+n0, (-1+n0 >= 0 /\ 1+n^0-k^0-n0 >= 0), cost: 2*n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_iegMOD.txt Applied instantiation Original rule: l13 -> l13 : dum^0'=dum^post16, k^0'=k^0+n0, (-1+n0 >= 0 /\ 1+n^0-k^0-n0 >= 0), cost: 2*n0 New rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (0 >= 0 /\ n^0-k^0 >= 0), cost: 2+2*n^0-2*k^0 Applied simplification Original rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (0 >= 0 /\ n^0-k^0 >= 0), cost: 2+2*n^0-2*k^0 New rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, n^0-k^0 >= 0, cost: 2+2*n^0-2*k^0 Applied deletion Removed the following rules: 121 Applied acceleration Original rule: l20 -> l20 : k^0'=1+k^0, sum^0'=sum^post27, 1-j^0+k^0 <= 0, cost: 2 New rule: l20 -> l20 : k^0'=n1+k^0, sum^0'=sum^post27, (-1+n1 >= 0 /\ j^0-n1-k^0 >= 0), cost: 2*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_fJEEei.txt Applied instantiation Original rule: l20 -> l20 : k^0'=n1+k^0, sum^0'=sum^post27, (-1+n1 >= 0 /\ j^0-n1-k^0 >= 0), cost: 2*n1 New rule: l20 -> l20 : k^0'=j^0, sum^0'=sum^post27, (0 >= 0 /\ -1+j^0-k^0 >= 0), cost: 2*j^0-2*k^0 Applied simplification Original rule: l20 -> l20 : k^0'=j^0, sum^0'=sum^post27, (0 >= 0 /\ -1+j^0-k^0 >= 0), cost: 2*j^0-2*k^0 New rule: l20 -> l20 : k^0'=j^0, sum^0'=sum^post27, -1+j^0-k^0 >= 0, cost: 2*j^0-2*k^0 Applied deletion Removed the following rules: 123 Applied acceleration Original rule: l25 -> l25 : k^0'=1+k^0, sum^0'=sum^post34, 1+k^0-i^0 <= 0, cost: 2 New rule: l25 -> l25 : k^0'=n2+k^0, sum^0'=sum^post34, (-n2-k^0+i^0 >= 0 /\ -1+n2 >= 0), cost: 2*n2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_HOEnOH.txt Applied instantiation Original rule: l25 -> l25 : k^0'=n2+k^0, sum^0'=sum^post34, (-n2-k^0+i^0 >= 0 /\ -1+n2 >= 0), cost: 2*n2 New rule: l25 -> l25 : k^0'=i^0, sum^0'=sum^post34, (0 >= 0 /\ -1-k^0+i^0 >= 0), cost: -2*k^0+2*i^0 Applied simplification Original rule: l25 -> l25 : k^0'=i^0, sum^0'=sum^post34, (0 >= 0 /\ -1-k^0+i^0 >= 0), cost: -2*k^0+2*i^0 New rule: l25 -> l25 : k^0'=i^0, sum^0'=sum^post34, -1-k^0+i^0 >= 0, cost: -2*k^0+2*i^0 Applied deletion Removed the following rules: 127 Accelerated simple loops Start location: l32 106: l1 -> l22 : i^0'=1+i^0, -1+big^0 >= 0, cost: 2 107: l1 -> l22 : i^0'=1+i^0, 1+big^0 <= 0, cost: 2 108: l1 -> l22 : i^0'=1+i^0, big^0 == 0, cost: 2 109: l2 -> l3 : j^0'=1+j^0, -big^0+temp^0 <= 0, cost: 2 110: l2 -> l3 : j^0'=1+j^0, big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 2 104: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 105: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 129: l7 -> l7 : i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 2+2*n^0-2*i^0 58: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 116: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 117: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 131: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, n^0-k^0 >= 0, cost: 2+2*n^0-2*k^0 67: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 68: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 69: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 113: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 114: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 122: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 133: l20 -> l20 : k^0'=j^0, sum^0'=sum^post27, -1+j^0-k^0 >= 0, cost: 2*j^0-2*k^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 112: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 126: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 135: l25 -> l25 : k^0'=i^0, sum^0'=sum^post34, -1-k^0+i^0 >= 0, cost: -2*k^0+2*i^0 99: l32 -> l22 : TRUE, cost: 2 Applied chaining First rule: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 Second rule: l7 -> l7 : i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 2+2*n^0-2*i^0 New rule: l8 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 3+2*n^0-2*i^0 Applied deletion Removed the following rules: 129 Applied chaining First rule: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 Second rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, n^0-k^0 >= 0, cost: 2+2*n^0-2*k^0 New rule: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0), cost: 3+2*n^0-2*k^0 Applied chaining First rule: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 Second rule: l13 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, n^0-k^0 >= 0, cost: 2+2*n^0-2*k^0 New rule: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0), cost: 3+2*n^0-2*k^0 Applied deletion Removed the following rules: 131 Applied chaining First rule: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 Second rule: l20 -> l20 : k^0'=j^0, sum^0'=sum^post27, -1+j^0-k^0 >= 0, cost: 2*j^0-2*k^0 New rule: l16 -> l20 : k^0'=j^0, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 2+2*j^0-2*k^0 Applied deletion Removed the following rules: 133 Applied chaining First rule: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 Second rule: l25 -> l25 : k^0'=i^0, sum^0'=sum^post34, -1-k^0+i^0 >= 0, cost: -2*k^0+2*i^0 New rule: l24 -> l25 : k^0'=i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 2-2*k^0+2*i^0 Applied deletion Removed the following rules: 135 Chained accelerated rules with incoming rules Start location: l32 106: l1 -> l22 : i^0'=1+i^0, -1+big^0 >= 0, cost: 2 107: l1 -> l22 : i^0'=1+i^0, 1+big^0 <= 0, cost: 2 108: l1 -> l22 : i^0'=1+i^0, big^0 == 0, cost: 2 109: l2 -> l3 : j^0'=1+j^0, -big^0+temp^0 <= 0, cost: 2 110: l2 -> l3 : j^0'=1+j^0, big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 2 104: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 105: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 58: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 136: l8 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 3+2*n^0-2*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 116: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 117: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 67: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 68: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 69: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 137: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0), cost: 3+2*n^0-2*k^0 138: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0), cost: 3+2*n^0-2*k^0 113: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 114: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 139: l16 -> l20 : k^0'=j^0, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 2+2*j^0-2*k^0 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 122: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 112: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 140: l24 -> l25 : k^0'=i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 2-2*k^0+2*i^0 126: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 99: l32 -> l22 : TRUE, cost: 2 Eliminating location l1 by chaining: Applied chaining First rule: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 Second rule: l1 -> l22 : i^0'=1+i^0, -1+big^0 >= 0, cost: 2 New rule: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -1+big^0 >= 0), cost: 4 Applied chaining First rule: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 Second rule: l1 -> l22 : i^0'=1+i^0, 1+big^0 <= 0, cost: 2 New rule: l3 -> l22 : i^0'=1+i^0, (1+big^0 <= 0 /\ 1-j^0+n^0 <= 0), cost: 4 Applied chaining First rule: l3 -> l1 : 1-j^0+n^0 <= 0, cost: 2 Second rule: l1 -> l22 : i^0'=1+i^0, big^0 == 0, cost: 2 New rule: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 Applied deletion Removed the following rules: 104 106 107 108 Eliminating location l2 by chaining: Applied chaining First rule: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 Second rule: l2 -> l3 : j^0'=1+j^0, -big^0+temp^0 <= 0, cost: 2 New rule: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -big^0+tmp^post1 <= 0), cost: 4 Applied chaining First rule: l3 -> l2 : tmp^0'=tmp^post1, temp^0'=tmp^post1, j^0-n^0 <= 0, cost: 2 Second rule: l2 -> l3 : j^0'=1+j^0, big^0'=temp^0, 1+big^0-temp^0 <= 0, cost: 2 New rule: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ 1+big^0-tmp^post1 <= 0), cost: 4 Applied deletion Removed the following rules: 105 109 110 Eliminating location l25 by chaining: Applied chaining First rule: l24 -> l25 : sum^0'=sum^post37, 1-j^0+i^0 <= 0, cost: 2 Second rule: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 New rule: l24 -> l24 : i^0'=1+i^0, sum^0'=sum^post37, (1-j^0+i^0 <= 0 /\ -k^0+i^0 <= 0), cost: 4 Applied chaining First rule: l24 -> l25 : k^0'=i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 2-2*k^0+2*i^0 Second rule: l25 -> l24 : i^0'=1+i^0, -k^0+i^0 <= 0, cost: 2 New rule: l24 -> l24 : k^0'=i^0, i^0'=1+i^0, sum^0'=sum^post34, (0 <= 0 /\ -1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 4-2*k^0+2*i^0 Applied simplification Original rule: l24 -> l24 : k^0'=i^0, i^0'=1+i^0, sum^0'=sum^post34, (0 <= 0 /\ -1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 4-2*k^0+2*i^0 New rule: l24 -> l24 : k^0'=i^0, i^0'=1+i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 4-2*k^0+2*i^0 Applied deletion Removed the following rules: 112 126 140 Eliminating location l14 by chaining: Applied chaining First rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Second rule: l14 -> l11 : -j^0+imax^0 == 0, cost: 1 New rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 Applied chaining First rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Second rule: l14 -> l13 : 1-j^0+imax^0 <= 0, cost: 1 New rule: l16 -> l13 : (1-j^0+imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 Applied chaining First rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Second rule: l14 -> l13 : 1+j^0-imax^0 <= 0, cost: 1 New rule: l16 -> l13 : (1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 Applied chaining First rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Second rule: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0), cost: 3+2*n^0-2*k^0 New rule: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 Applied chaining First rule: l16 -> l14 : 1+n^0-i^0 <= 0, cost: 2 Second rule: l14 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0), cost: 3+2*n^0-2*k^0 New rule: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 Applied deletion Removed the following rules: 67 68 69 113 137 138 Eliminating location l20 by chaining: Applied chaining First rule: l16 -> l20 : sum^0'=sum^post30, -n^0+i^0 <= 0, cost: 2 Second rule: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 New rule: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 Applied chaining First rule: l16 -> l20 : k^0'=j^0, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 2+2*j^0-2*k^0 Second rule: l20 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, j^0-k^0 <= 0, cost: 2 New rule: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 Applied simplification Original rule: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 New rule: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 Applied deletion Removed the following rules: 114 122 139 Eliminating location l8 by chaining: Applied chaining First rule: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 Second rule: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 New rule: l11 -> l7 : dum^0'=dum^post7, (0 == 0 /\ 1-j^0+n^0 <= 0), cost: 4 Applied simplification Original rule: l11 -> l7 : dum^0'=dum^post7, (0 == 0 /\ 1-j^0+n^0 <= 0), cost: 4 New rule: l11 -> l7 : dum^0'=dum^post7, 1-j^0+n^0 <= 0, cost: 4 Applied chaining First rule: l11 -> l8 : 1-j^0+n^0 <= 0, cost: 3 Second rule: l8 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 3+2*n^0-2*i^0 New rule: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 Applied chaining First rule: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 Second rule: l8 -> l7 : dum^0'=dum^post7, 0 == 0, cost: 1 New rule: l11 -> l7 : dum^0'=dum^post7, (0 == 0 /\ 1+j^0-n^0 <= 0), cost: 4 Applied simplification Original rule: l11 -> l7 : dum^0'=dum^post7, (0 == 0 /\ 1+j^0-n^0 <= 0), cost: 4 New rule: l11 -> l7 : dum^0'=dum^post7, 1+j^0-n^0 <= 0, cost: 4 Applied chaining First rule: l11 -> l8 : 1+j^0-n^0 <= 0, cost: 3 Second rule: l8 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, 1+n^0-i^0 >= 0, cost: 3+2*n^0-2*i^0 New rule: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 Applied deletion Removed the following rules: 58 116 117 136 Eliminated locations on tree-shaped paths Start location: l32 141: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -1+big^0 >= 0), cost: 4 142: l3 -> l22 : i^0'=1+i^0, (1+big^0 <= 0 /\ 1-j^0+n^0 <= 0), cost: 4 143: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 144: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -big^0+tmp^post1 <= 0), cost: 4 145: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ 1+big^0-tmp^post1 <= 0), cost: 4 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 155: l11 -> l7 : dum^0'=dum^post7, 1-j^0+n^0 <= 0, cost: 4 156: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 157: l11 -> l7 : dum^0'=dum^post7, 1+j^0-n^0 <= 0, cost: 4 158: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 149: l16 -> l13 : (1-j^0+imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 150: l16 -> l13 : (1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 151: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 152: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 153: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 154: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 146: l24 -> l24 : i^0'=1+i^0, sum^0'=sum^post37, (1-j^0+i^0 <= 0 /\ -k^0+i^0 <= 0), cost: 4 147: l24 -> l24 : k^0'=i^0, i^0'=1+i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 4-2*k^0+2*i^0 99: l32 -> l22 : TRUE, cost: 2 Applied acceleration Original rule: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -big^0+tmp^post1 <= 0), cost: 4 New rule: l3 -> l3 : j^0'=n3+j^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (1-n3-j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0 /\ -1+n3 >= 0), cost: 4*n3 Sub-proof via acceration calculus written to file:///tmp/tmpnam_adEbGF.txt Applied instantiation Original rule: l3 -> l3 : j^0'=n3+j^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (1-n3-j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0 /\ -1+n3 >= 0), cost: 4*n3 New rule: l3 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (0 >= 0 /\ -j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0), cost: 4-4*j^0+4*n^0 Applied simplification Original rule: l3 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (0 >= 0 /\ -j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0), cost: 4-4*j^0+4*n^0 New rule: l3 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0), cost: 4-4*j^0+4*n^0 Applied deletion Removed the following rules: 144 Applied acceleration Original rule: l24 -> l24 : i^0'=1+i^0, sum^0'=sum^post37, (1-j^0+i^0 <= 0 /\ -k^0+i^0 <= 0), cost: 4 New rule: l24 -> l24 : i^0'=n7+i^0, sum^0'=sum^post37, (1-n7+k^0-i^0 >= 0 /\ j^0-n7-i^0 >= 0 /\ -1+n7 >= 0), cost: 4*n7 Sub-proof via acceration calculus written to file:///tmp/tmpnam_hLepGF.txt Applied instantiation Original rule: l24 -> l24 : i^0'=n7+i^0, sum^0'=sum^post37, (1-n7+k^0-i^0 >= 0 /\ j^0-n7-i^0 >= 0 /\ -1+n7 >= 0), cost: 4*n7 New rule: l24 -> l24 : i^0'=j^0, sum^0'=sum^post37, (0 >= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4*j^0-4*i^0 Applied instantiation Original rule: l24 -> l24 : i^0'=n7+i^0, sum^0'=sum^post37, (1-n7+k^0-i^0 >= 0 /\ j^0-n7-i^0 >= 0 /\ -1+n7 >= 0), cost: 4*n7 New rule: l24 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (0 >= 0 /\ -1+j^0-k^0 >= 0 /\ k^0-i^0 >= 0), cost: 4+4*k^0-4*i^0 Applied acceleration Original rule: l24 -> l24 : k^0'=i^0, i^0'=1+i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ 1-j^0+i^0 <= 0), cost: 4-2*k^0+2*i^0 New rule: l24 -> l24 : k^0'=-1+n8+i^0, i^0'=n8+i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n8-i^0 >= 0 /\ -1+n8 >= 0), cost: 6*n8 Sub-proof via acceration calculus written to file:///tmp/tmpnam_AddDeL.txt Applied instantiation Original rule: l24 -> l24 : k^0'=-1+n8+i^0, i^0'=n8+i^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n8-i^0 >= 0 /\ -1+n8 >= 0), cost: 6*n8 New rule: l24 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (0 >= 0 /\ -1-k^0+i^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 6*j^0-6*i^0 Applied simplification Original rule: l24 -> l24 : i^0'=j^0, sum^0'=sum^post37, (0 >= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4*j^0-4*i^0 New rule: l24 -> l24 : i^0'=j^0, sum^0'=sum^post37, (1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4*j^0-4*i^0 Applied simplification Original rule: l24 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (0 >= 0 /\ -1+j^0-k^0 >= 0 /\ k^0-i^0 >= 0), cost: 4+4*k^0-4*i^0 New rule: l24 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ k^0-i^0 >= 0), cost: 4+4*k^0-4*i^0 Applied simplification Original rule: l24 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (0 >= 0 /\ -1-k^0+i^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 6*j^0-6*i^0 New rule: l24 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 6*j^0-6*i^0 Applied deletion Removed the following rules: 146 147 Accelerated simple loops Start location: l32 141: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -1+big^0 >= 0), cost: 4 142: l3 -> l22 : i^0'=1+i^0, (1+big^0 <= 0 /\ 1-j^0+n^0 <= 0), cost: 4 143: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 145: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ 1+big^0-tmp^post1 <= 0), cost: 4 160: l3 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0), cost: 4-4*j^0+4*n^0 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 155: l11 -> l7 : dum^0'=dum^post7, 1-j^0+n^0 <= 0, cost: 4 156: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 157: l11 -> l7 : dum^0'=dum^post7, 1+j^0-n^0 <= 0, cost: 4 158: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 149: l16 -> l13 : (1-j^0+imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 150: l16 -> l13 : (1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 151: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 152: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 153: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 154: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 164: l24 -> l24 : i^0'=j^0, sum^0'=sum^post37, (1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4*j^0-4*i^0 165: l24 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ k^0-i^0 >= 0), cost: 4+4*k^0-4*i^0 166: l24 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 6*j^0-6*i^0 99: l32 -> l22 : TRUE, cost: 2 Applied chaining First rule: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 Second rule: l3 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ 1+big^0-tmp^post1 <= 0), cost: 4 New rule: l22 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 6 Applied chaining First rule: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 Second rule: l3 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ big^0-tmp^post1 >= 0), cost: 4-4*j^0+4*n^0 New rule: l22 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 Applied deletion Removed the following rules: 145 160 Applied chaining First rule: l5 -> l24 : j^0-n^0 <= 0, cost: 2 Second rule: l24 -> l24 : i^0'=j^0, sum^0'=sum^post37, (1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4*j^0-4*i^0 New rule: l5 -> l24 : i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 2+4*j^0-4*i^0 Applied chaining First rule: l5 -> l24 : j^0-n^0 <= 0, cost: 2 Second rule: l24 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ k^0-i^0 >= 0), cost: 4+4*k^0-4*i^0 New rule: l5 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 6+4*k^0-4*i^0 Applied chaining First rule: l5 -> l24 : j^0-n^0 <= 0, cost: 2 Second rule: l24 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 6*j^0-6*i^0 New rule: l5 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 2+6*j^0-6*i^0 Applied deletion Removed the following rules: 164 165 166 Chained accelerated rules with incoming rules Start location: l32 141: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -1+big^0 >= 0), cost: 4 142: l3 -> l22 : i^0'=1+i^0, (1+big^0 <= 0 /\ 1-j^0+n^0 <= 0), cost: 4 143: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 100: l5 -> l24 : j^0-n^0 <= 0, cost: 2 169: l5 -> l24 : i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 2+4*j^0-4*i^0 170: l5 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 6+4*k^0-4*i^0 171: l5 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 2+6*j^0-6*i^0 118: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 155: l11 -> l7 : dum^0'=dum^post7, 1-j^0+n^0 <= 0, cost: 4 156: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 157: l11 -> l7 : dum^0'=dum^post7, 1+j^0-n^0 <= 0, cost: 4 158: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 120: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 149: l16 -> l13 : (1-j^0+imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 150: l16 -> l13 : (1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 151: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 152: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 153: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 154: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 124: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 125: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 103: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 167: l22 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 6 168: l22 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 111: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 99: l32 -> l22 : TRUE, cost: 2 Eliminating location l3 by chaining: Applied chaining First rule: l22 -> l3 : big^0'=0, -n^0+i^0 <= 0, cost: 2 Second rule: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 New rule: l22 -> l22 : big^0'=0, i^0'=1+i^0, (0 == 0 /\ 1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 Applied simplification Original rule: l22 -> l22 : big^0'=0, i^0'=1+i^0, (0 == 0 /\ 1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 New rule: l22 -> l22 : big^0'=0, i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 Applied chaining First rule: l22 -> l3 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, (j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 6 Second rule: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -1+big^0 >= 0), cost: 4 New rule: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 Applied chaining First rule: l22 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 Second rule: l3 -> l22 : i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ big^0 == 0), cost: 4 New rule: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (0 <= 0 /\ 0 == 0 /\ -j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 Applied simplification Original rule: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (0 <= 0 /\ 0 == 0 /\ -j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 New rule: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 Applied partial deletion Original rule: l22 -> l3 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 New rule: l22 -> [39] : (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 Applied deletion Removed the following rules: 103 141 142 143 167 168 Eliminating location l24 by chaining: Applied chaining First rule: l5 -> l24 : j^0-n^0 <= 0, cost: 2 Second rule: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 New rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Applied chaining First rule: l5 -> l24 : i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 2+4*j^0-4*i^0 Second rule: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 New rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Applied simplification Original rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 New rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Applied chaining First rule: l5 -> l24 : i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 6+4*k^0-4*i^0 Second rule: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 New rule: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 Applied chaining First rule: l5 -> l24 : k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 2+6*j^0-6*i^0 Second rule: l24 -> l16 : big^0'=0, j^0-i^0 <= 0, cost: 2 New rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (0 <= 0 /\ -1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 Applied simplification Original rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (0 <= 0 /\ -1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 New rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 Applied deletion Removed the following rules: 100 111 169 170 171 Eliminating location l13 by chaining: Applied chaining First rule: l16 -> l13 : (1-j^0+imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 Second rule: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 New rule: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 Applied chaining First rule: l16 -> l13 : (1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 3 Second rule: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 New rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 Applied chaining First rule: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 Second rule: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 New rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 Applied simplification Original rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 Applied chaining First rule: l16 -> l13 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5+2*n^0-2*k^0 Second rule: l13 -> l11 : 1+n^0-k^0 <= 0, cost: 2 New rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 Applied simplification Original rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 Applied deletion Removed the following rules: 120 149 150 151 152 Eliminating location l17 by chaining: Applied chaining First rule: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 Second rule: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 New rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 Applied chaining First rule: l16 -> l17 : dum^0'=dum^post26, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 4 Second rule: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 New rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (big^0-dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 Applied chaining First rule: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 Second rule: l17 -> l16 : i^0'=1+i^0, 1+dum^0-big^0 <= 0, cost: 2 New rule: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 Applied chaining First rule: l16 -> l17 : dum^0'=dum^post26, k^0'=j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 4+2*j^0-2*k^0 Second rule: l17 -> l16 : imax^0'=i^0, big^0'=dum^0, i^0'=1+i^0, -dum^0+big^0 <= 0, cost: 2 New rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 Applied deletion Removed the following rules: 124 125 153 154 Eliminating location l7 by chaining: Applied chaining First rule: l11 -> l7 : dum^0'=dum^post7, 1-j^0+n^0 <= 0, cost: 4 Second rule: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 New rule: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 Applied chaining First rule: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 Second rule: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 New rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (0 <= 0 /\ 1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Applied simplification Original rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (0 <= 0 /\ 1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 New rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Applied chaining First rule: l11 -> l7 : dum^0'=dum^post7, 1+j^0-n^0 <= 0, cost: 4 Second rule: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 New rule: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 Applied chaining First rule: l11 -> l7 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 6+2*n^0-2*i^0 Second rule: l7 -> l4 : 1+n^0-i^0 <= 0, cost: 2 New rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Applied simplification Original rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 New rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Applied deletion Removed the following rules: 118 155 156 157 158 Eliminated locations on tree-shaped paths Start location: l32 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 176: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 177: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 178: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 179: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 188: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 189: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 190: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 191: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 180: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 181: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 182: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 183: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 184: l16 -> l16 : dum^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 185: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (big^0-dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 186: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 187: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 172: l22 -> l22 : big^0'=0, i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 173: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 174: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 175: l22 -> [39] : (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 6-4*j^0+4*n^0 99: l32 -> l22 : TRUE, cost: 2 Applied pruning (of leafs and parallel rules): Start location: l32 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 176: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 177: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 178: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 179: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 188: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 189: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 190: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 191: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 180: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 181: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 182: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 183: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 184: l16 -> l16 : dum^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 185: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (big^0-dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 186: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 187: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 172: l22 -> l22 : big^0'=0, i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 173: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 174: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 99: l32 -> l22 : TRUE, cost: 2 Applied acceleration Original rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 New rule: l16 -> l16 : dum^0'=dum^post26, i^0'=n12+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-n12+n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+n12 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6*n12 Sub-proof via acceration calculus written to file:///tmp/tmpnam_BEMmDd.txt Applied instantiation Original rule: l16 -> l16 : dum^0'=dum^post26, i^0'=n12+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-n12+n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+n12 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6*n12 New rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 Applied acceleration Original rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (big^0-dum^post26 <= 0 /\ -n^0+i^0 <= 0 /\ j^0-k^0 <= 0), cost: 6 New rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=-1+n13+i^0, big^0'=dum^post26, i^0'=n13+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ -j^0+k^0 >= 0 /\ -1+n13 >= 0 /\ 1+n^0-n13-i^0 >= 0), cost: 6*n13 Sub-proof via acceration calculus written to file:///tmp/tmpnam_dJigel.txt Applied instantiation Original rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=-1+n13+i^0, big^0'=dum^post26, i^0'=n13+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ -j^0+k^0 >= 0 /\ -1+n13 >= 0 /\ 1+n^0-n13-i^0 >= 0), cost: 6*n13 New rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 >= 0 /\ -big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 Applied simplification Original rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 New rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 Applied simplification Original rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 >= 0 /\ -big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 New rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 Applied deletion Removed the following rules: 184 185 Applied simplification Original rule: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 New rule: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 Simplified simple loops Start location: l32 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 176: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 177: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 178: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 179: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 188: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 189: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 190: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 191: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 180: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 181: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 182: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 183: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 186: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 187: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 194: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 195: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 172: l22 -> l22 : big^0'=0, i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 174: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 196: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 99: l32 -> l22 : TRUE, cost: 2 Applied acceleration Original rule: l22 -> l22 : big^0'=0, i^0'=1+i^0, (1-j^0+n^0 <= 0 /\ -n^0+i^0 <= 0), cost: 6 New rule: l22 -> l22 : big^0'=0, i^0'=n20+i^0, (-1+n20 >= 0 /\ 1+n^0-n20-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6*n20 Sub-proof via acceration calculus written to file:///tmp/tmpnam_cmFAbD.txt Applied instantiation Original rule: l22 -> l22 : big^0'=0, i^0'=n20+i^0, (-1+n20 >= 0 /\ 1+n^0-n20-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6*n20 New rule: l22 -> l22 : big^0'=0, i^0'=1+n^0, (0 >= 0 /\ n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6+6*n^0-6*i^0 Applied simplification Original rule: l22 -> l22 : big^0'=0, i^0'=1+n^0, (0 >= 0 /\ n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6+6*n^0-6*i^0 New rule: l22 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6+6*n^0-6*i^0 Applied deletion Removed the following rules: 172 Accelerated simple loops Start location: l32 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 176: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 177: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 178: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 179: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 188: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 189: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 190: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 191: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 180: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 181: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 182: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 183: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 186: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 187: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 194: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 195: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 174: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 196: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 198: l22 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6+6*n^0-6*i^0 99: l32 -> l22 : TRUE, cost: 2 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1-big^0+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (big^0-dum^post26 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0), cost: 6+2*j^0-2*k^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ -1+big^0-dum^post26 >= 0), cost: 6+6*n^0-6*i^0 New rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Second rule: l16 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-big^0+dum^post26 >= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 6+6*n^0-6*i^0 New rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Applied deletion Removed the following rules: 186 187 194 195 Applied chaining First rule: l32 -> l22 : TRUE, cost: 2 Second rule: l22 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 10-4*j^0+4*n^0 New rule: l32 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 12-4*j^0+4*n^0 Applied chaining First rule: l32 -> l22 : TRUE, cost: 2 Second rule: l22 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 10 New rule: l32 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 12 Applied chaining First rule: l32 -> l22 : TRUE, cost: 2 Second rule: l22 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 6+6*n^0-6*i^0 New rule: l32 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 8+6*n^0-6*i^0 Applied deletion Removed the following rules: 174 196 198 Chained accelerated rules with incoming rules Start location: l32 54: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 176: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 177: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 178: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 179: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 199: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 200: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 201: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 202: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 203: l5 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 204: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 205: l5 -> l16 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 206: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 207: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 208: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 209: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 210: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 115: l11 -> l4 : -j^0+n^0 == 0, cost: 3 188: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 189: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 190: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 191: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 148: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 180: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 181: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 182: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 183: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 102: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 99: l32 -> l22 : TRUE, cost: 2 211: l32 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 12-4*j^0+4*n^0 212: l32 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 12 213: l32 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 8+6*n^0-6*i^0 Eliminating location l22 by chaining: Applied chaining First rule: l32 -> l22 : TRUE, cost: 2 Second rule: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 New rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Applied chaining First rule: l32 -> l22 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 12-4*j^0+4*n^0 Second rule: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 New rule: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 Applied chaining First rule: l32 -> l22 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 12 Second rule: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 New rule: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 Applied chaining First rule: l32 -> l22 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 8+6*n^0-6*i^0 Second rule: l22 -> l5 : 1+n^0-i^0 <= 0, cost: 2 New rule: l32 -> l5 : big^0'=0, i^0'=1+n^0, (0 <= 0 /\ n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Applied simplification Original rule: l32 -> l5 : big^0'=0, i^0'=1+n^0, (0 <= 0 /\ n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 New rule: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Applied deletion Removed the following rules: 99 102 211 212 213 Eliminating location l16 by chaining: Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : big^0'=0, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Applied simplification Original rule: l5 -> l11 : big^0'=0, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 New rule: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Applied simplification Original rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 New rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : big^0'=0, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Applied simplification Original rule: l5 -> l11 : big^0'=0, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 New rule: l5 -> l11 : big^0'=0, (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Applied chaining First rule: l5 -> l16 : big^0'=0, (j^0-i^0 <= 0 /\ j^0-n^0 <= 0), cost: 4 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 13+2*j^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+imax^0 == 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 17+2*j^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 >= 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 >= 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ -1+j^0-k^0 == 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ -1+j^0-k^0 == 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -j^0+i^0 == 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 13+2*j^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -j^0+i^0 == 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 13+2*j^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -j^0+i^0 == 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 13+2*j^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=i^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ 1+j^0-i^0 <= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 17+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=i^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 >= 0 /\ 1+j^0-i^0 <= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 17+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=i^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1+j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 17+2*n^0-2*k^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 == 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 == 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ -1+n^0-k^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0), cost: 17+2*j^0+2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ -1+n^0-k^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0), cost: 17+2*j^0+2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ -1+n^0-k^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0), cost: 17+2*j^0+2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 == 0 /\ -1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (0 == 0 /\ -1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 13+6*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 13+6*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 13+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 15+6*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 15+6*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0), cost: 15+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 15+6*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 15+6*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0), cost: 15+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 13+6*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 13+6*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 13+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 15+6*n^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 15+6*n^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 15+6*n^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : (-j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 3 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+n^0 == 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 5 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 Applied chaining First rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Second rule: l16 -> l11 : dum^0'=dum^post16, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7+2*n^0-2*k^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied simplification Original rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 New rule: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : big^0'=0, i^0'=j^0, sum^0'=sum^post37, (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 New rule: l5 -> [42] : (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : big^0'=0, i^0'=1+k^0, sum^0'=sum^post37, (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 New rule: l5 -> [42] : (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : big^0'=0, k^0'=-1+j^0, i^0'=j^0, sum^0'=sum^post34, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 New rule: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 New rule: l5 -> [42] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 New rule: l5 -> [42] : (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 New rule: l5 -> [42] : (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 New rule: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 New rule: l5 -> [42] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 New rule: l5 -> [42] : (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 New rule: l5 -> [42] : (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 New rule: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 New rule: l5 -> [42] : (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 Applied partial deletion Original rule: l5 -> l16 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 New rule: l5 -> [42] : (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 Applied deletion Removed the following rules: 148 176 177 178 179 180 181 182 183 199 200 201 202 203 204 205 206 207 208 209 210 Eliminating location l4 by chaining: Applied chaining First rule: l11 -> l4 : -j^0+n^0 == 0, cost: 3 Second rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 New rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 Applied chaining First rule: l11 -> l4 : dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 Second rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 New rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Applied chaining First rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Second rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 New rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 Applied chaining First rule: l11 -> l4 : dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 6 Second rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 New rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Applied chaining First rule: l11 -> l4 : dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 8+2*n^0-2*i^0 Second rule: l4 -> l5 : j^0'=1+j^0, TRUE, cost: 1 New rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 Applied deletion Removed the following rules: 54 115 188 189 190 191 Eliminated locations on tree-shaped paths Start location: l32 218: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 219: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 220: l5 -> l11 : big^0'=0, (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 221: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 222: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 223: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 13+2*j^0-2*k^0 224: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 225: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 226: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 227: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 228: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 17+4*j^0+2*n^0-2*k^0-4*i^0 229: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+imax^0 == 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 17+2*j^0+2*k^0-4*i^0 230: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1-j^0+imax^0 <= 0 /\ -1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 231: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 == 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0 /\ -1+n^0-k^0 <= 0), cost: 21+2*n^0+2*k^0-4*i^0 232: l5 -> l11 : dum^0'=dum^post26, big^0'=0, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 233: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 234: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 235: l5 -> l11 : dum^0'=dum^post26, imax^0'=i^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ -j^0+i^0 == 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 13+2*j^0-2*k^0 236: l5 -> l11 : dum^0'=dum^post16, imax^0'=i^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (1+j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 17+2*n^0-2*k^0 237: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13+6*j^0-2*k^0-4*i^0 238: l5 -> l11 : dum^0'=dum^post26, imax^0'=1+k^0, big^0'=dum^post26, k^0'=j^0, i^0'=2+k^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ -1+n^0-k^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0), cost: 17+2*j^0+2*k^0-4*i^0 239: l5 -> l11 : dum^0'=dum^post26, imax^0'=j^0, big^0'=dum^post26, k^0'=j^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15+6*j^0-6*i^0 240: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ -j^0+imax^0 == 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 13+6*n^0-6*i^0 241: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0), cost: 15+6*n^0-6*i^0 242: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0), cost: 15+6*n^0-6*i^0 243: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 244: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 245: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 246: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 247: l5 -> l11 : dum^0'=dum^post26, big^0'=0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1+n^0-k^0 <= 0 /\ 1+j^0-imax^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 248: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 249: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ -j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 250: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 13+6*n^0-6*i^0 251: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 15+6*n^0-6*i^0 252: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (j^0-i^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 17+8*n^0-2*k^0-6*i^0 253: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (-j^0+n^0 == 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 13-2*j^0+6*n^0-4*i^0 254: l5 -> l11 : dum^0'=dum^post26, imax^0'=n^0, big^0'=dum^post26, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 15-2*j^0+6*n^0-4*i^0 255: l5 -> l11 : dum^0'=dum^post16, imax^0'=n^0, big^0'=dum^post26, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post30, (n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 17-2*j^0+8*n^0-2*k^0-4*i^0 256: l5 -> [42] : (j^0-n^0 <= 0 /\ 1-j^0+k^0 >= 0 /\ -1+j^0-i^0 >= 0), cost: 4+4*j^0-4*i^0 257: l5 -> [42] : (-1+j^0-k^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0), cost: 8+4*k^0-4*i^0 258: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ -1+j^0-i^0 >= 0), cost: 4+6*j^0-6*i^0 259: l5 -> [42] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+dum^post26 <= 0 /\ -n^0+i^0 <= 0), cost: 10+2*j^0-2*k^0 260: l5 -> [42] : (j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ 1-j^0+k^0 == 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 261: l5 -> [42] : (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ 1+dum^post26 <= 0), cost: 14+2*j^0+2*k^0-4*i^0 262: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 263: l5 -> [42] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ -n^0+i^0 <= 0 /\ dum^post26 >= 0), cost: 10+2*j^0-2*k^0 264: l5 -> [42] : (j^0-n^0 <= 0 /\ 1-j^0+k^0 == 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10+6*j^0-2*k^0-4*i^0 265: l5 -> [42] : (-1+j^0-k^0 == 0 /\ j^0-n^0 <= 0 /\ k^0-i^0 >= 0 /\ dum^post26 >= 0), cost: 14+2*j^0+2*k^0-4*i^0 266: l5 -> [42] : (-1-k^0+i^0 >= 0 /\ j^0-n^0 <= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 12+6*j^0-6*i^0 267: l5 -> [42] : (j^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0), cost: 10+6*n^0-6*i^0 268: l5 -> [42] : (j^0-n^0 <= 0 /\ -j^0+k^0 >= 0 /\ dum^post26 >= 0 /\ -1+j^0-i^0 >= 0), cost: 10-2*j^0+6*n^0-4*i^0 269: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 270: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 271: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 272: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 273: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Applied pruning (of leafs and parallel rules): Start location: l32 218: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 219: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 221: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 225: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 233: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 269: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 270: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 271: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1-j^0+n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 272: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 273: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Eliminating location l11 by chaining: Applied chaining First rule: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Second rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 New rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11 New rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 11 Applied chaining First rule: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 Applied chaining First rule: l5 -> l11 : big^0'=0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 16+2*n^0-2*i^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (-j^0+imax^0 == 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 16+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 16+2*n^0-2*i^0 Applied chaining First rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Second rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 New rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 New rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 Applied chaining First rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 16 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 16 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 16 Applied chaining First rule: l5 -> l11 : big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 9 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 18+2*n^0-2*i^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 18+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 18+2*n^0-2*i^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 20+4*n^0-2*k^0-2*i^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 20+4*n^0-2*k^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 20+4*n^0-2*k^0-2*i^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 21+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 == 0 /\ j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 21+2*n^0-2*k^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 == 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 21+2*n^0-2*k^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 7 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+2*n^0-2*k^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+2*n^0-2*k^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+2*n^0-2*k^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Second rule: l11 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, i^0'=1+n^0, (1+j^0-n^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 9+2*n^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -n^0+i^0 <= 0), cost: 24+4*n^0-2*k^0-2*i^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ n^0-i^0 >= 0 /\ -n^0+i^0 <= 0), cost: 24+4*n^0-2*k^0-2*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+4*n^0-2*k^0-2*i^0 Applied chaining First rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Second rule: l11 -> l5 : j^0'=1+j^0, -j^0+n^0 == 0, cost: 4 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 23+4*j^0+2*n^0-6*i^0 Applied simplification Original rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ -j^0+n^0 == 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 23+4*j^0+2*n^0-6*i^0 New rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 23+4*j^0+2*n^0-6*i^0 Applied partial deletion Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 New rule: l5 -> [43] : (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 Applied partial deletion Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 New rule: l5 -> [43] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 Applied partial deletion Original rule: l5 -> l11 : dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 New rule: l5 -> [43] : (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 Applied deletion Removed the following rules: 218 219 221 225 233 269 270 271 272 273 Eliminated locations on tree-shaped paths Start location: l32 274: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 11 275: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 276: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 16+2*n^0-2*i^0 277: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 278: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 16 279: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ 1+n^0-k^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 18+2*n^0-2*i^0 280: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 281: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 282: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0 /\ 1+n^0-i^0 >= 0), cost: 20+4*n^0-2*k^0-2*i^0 283: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-j^0+n^0 == 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 21+2*n^0-2*k^0 284: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+i^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+2*n^0-2*k^0 285: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, i^0'=1+n^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 24+4*n^0-2*k^0-2*i^0 286: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, i^0'=1+j^0, tmp___0^0'=tmp___0^post26, sum^0'=sum^post27, (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 23+4*j^0+2*n^0-6*i^0 287: l5 -> [43] : (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 11+2*n^0-2*k^0 288: l5 -> [43] : (j^0-i^0 <= 0 /\ -1+j^0-k^0 >= 0 /\ 1+j^0-imax^0 <= 0 /\ 1+dum^post26 <= 0 /\ n^0-i^0 <= 0 /\ -n^0+i^0 <= 0), cost: 17+2*n^0-2*k^0 289: l5 -> [43] : (-1-k^0+i^0 >= 0 /\ 1-j^0+imax^0 <= 0 /\ -j^0+n^0 <= 0 /\ j^0-n^0 <= 0 /\ 1+dum^post26 <= 0 /\ -1+j^0-i^0 >= 0), cost: 19+4*j^0+2*n^0-6*i^0 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Applied pruning (of leafs and parallel rules): Start location: l32 274: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 11 275: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 277: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 280: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 281: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Accelerated simple loops Start location: l32 274: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 11 275: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 277: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 280: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 281: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 Applied chaining First rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Second rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 11 New rule: l32 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 15 Applied chaining First rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Second rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 14 New rule: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18 Applied chaining First rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Second rule: l5 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 13 New rule: l32 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 17 Applied chaining First rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Second rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 15+2*n^0-2*k^0 New rule: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 19+2*n^0-2*k^0 Applied chaining First rule: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 Second rule: l5 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18+2*n^0-2*k^0 New rule: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 22+2*n^0-2*k^0 Applied deletion Removed the following rules: 274 275 277 280 281 Chained accelerated rules with incoming rules Start location: l32 214: l32 -> l5 : 1+n^0-i^0 <= 0, cost: 4 215: l32 -> l5 : j^0'=1+n^0, tmp^0'=tmp^post1, big^0'=0, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 >= 0 /\ n^0-i^0 <= 0 /\ tmp^post1 <= 0 /\ -n^0+i^0 <= 0), cost: 14-4*j^0+4*n^0 216: l32 -> l5 : j^0'=1+j^0, tmp^0'=tmp^post1, big^0'=tmp^post1, temp^0'=tmp^post1, i^0'=1+i^0, (-j^0+n^0 == 0 /\ n^0-i^0 <= 0 /\ -1+tmp^post1 >= 0 /\ -n^0+i^0 <= 0), cost: 14 217: l32 -> l5 : big^0'=0, i^0'=1+n^0, (n^0-i^0 >= 0 /\ -1+j^0-n^0 >= 0), cost: 10+6*n^0-6*i^0 290: l32 -> l5 : j^0'=1+j^0, big^0'=0, (-j^0+n^0 == 0 /\ -j^0+imax^0 == 0 /\ 1+n^0-i^0 <= 0), cost: 15 291: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, (-j^0+imax^0 == 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 18 292: l32 -> l5 : j^0'=1+j^0, big^0'=0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ 1+n^0-k^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 17 293: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post16, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ -j^0+n^0 == 0 /\ n^0-k^0 >= 0 /\ 1+n^0-i^0 <= 0), cost: 19+2*n^0-2*k^0 294: l32 -> l5 : j^0'=1+j^0, dum^0'=dum^post7, big^0'=0, k^0'=1+n^0, (1-j^0+imax^0 <= 0 /\ n^0-k^0 >= 0 /\ 1+j^0-n^0 <= 0 /\ 1+n^0-i^0 <= 0), cost: 22+2*n^0-2*k^0 Removed unreachable locations and irrelevant leafs Start location: l32 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0