WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrandom2dbb9in) = 2 Pol(evalrandom2dbb10in) = 2 Pol(evalrandom2dbb7in) = 2 Pol(evalrandom2dbb5in) = 2 Pol(evalrandom2dNewDefaultin) = 2 Pol(evalrandom2dbb3in) = 2 Pol(evalrandom2dLeafBlock5in) = 2 Pol(evalrandom2dLeafBlock3in) = 2 Pol(evalrandom2dLeafBlock1in) = 2 Pol(evalrandom2dLeafBlockin) = 2 Pol(evalrandom2dNodeBlock7in) = 2 Pol(evalrandom2dNodeBlockin) = 2 Pol(evalrandom2dNodeBlock9in) = 2 Pol(evalrandom2dbb2in) = 2 Pol(evalrandom2dreturnin) = 1 Pol(evalrandom2dstop) = 0 Pol(evalrandom2dbbin) = 2 Pol(evalrandom2dentryin) = 2 Pol(evalrandom2dstart) = 2 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: 2, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrandom2dbb9in) = 8*V_2 - 8*V_3 - 5 Pol(evalrandom2dbb10in) = -8*V_1 + 8*V_2 - 6 Pol(evalrandom2dbb7in) = 8*V_2 - 8*V_3 - 4 Pol(evalrandom2dbb5in) = 8*V_2 - 8*V_3 - 4 Pol(evalrandom2dNewDefaultin) = 8*V_2 - 8*V_3 - 5 Pol(evalrandom2dbb3in) = 8*V_2 - 8*V_3 - 4 Pol(evalrandom2dLeafBlock5in) = 8*V_2 - 8*V_3 - 4 Pol(evalrandom2dLeafBlock3in) = 8*V_2 - 8*V_3 - 3 Pol(evalrandom2dLeafBlock1in) = 8*V_2 - 8*V_3 - 3 Pol(evalrandom2dLeafBlockin) = 8*V_2 - 8*V_3 - 3 Pol(evalrandom2dNodeBlock7in) = 8*V_2 - 8*V_3 - 2 Pol(evalrandom2dNodeBlockin) = 8*V_2 - 8*V_3 - 2 Pol(evalrandom2dNodeBlock9in) = 8*V_2 - 8*V_3 - 1 Pol(evalrandom2dbb2in) = 8*V_2 - 8*V_3 Pol(evalrandom2dreturnin) = -8*V_1 + 8*V_2 - 6 Pol(evalrandom2dstop) = -8*V_1 + 8*V_2 - 6 Pol(evalrandom2dbbin) = -8*V_1 + 8*V_2 - 7 Pol(evalrandom2dentryin) = 8*V_2 Pol(evalrandom2dstart) = 8*V_2 Pol(koat_start) = 8*V_2 orients all transitions weakly and the transition evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] strictly and produces the following problem: 5: T: (Comp: ?, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: ?, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: 2, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 32*Ar_1, Cost: 1) evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 4 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 2 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNewDefaultin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 + 1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 = 0 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlock1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dLeafBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 2 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlockin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_3 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dNodeBlock9in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 8*Ar_1, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ E >= 4 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb2in(Ar_0, Ar_1, Ar_0 + 1, Fresh_0)) [ Fresh_0 >= 0 /\ 3 >= Fresh_0 ] (Comp: 2, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 8*Ar_1, Cost: 1) evalrandom2dbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dbb10in(0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrandom2dstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 216*Ar_1 + 6 Time: 2.817 sec (SMT: 2.711 sec)