WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: ?, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_2 >= 101 /\ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 1, Ar_2, Ar_3)) [ 100 >= Ar_2 /\ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(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: evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 1 >= Ar_0 ] evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_2 >= 101 /\ 100 >= Ar_2 ] evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 1, Ar_2, Ar_3)) [ 100 >= Ar_2 /\ Ar_2 >= 101 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: ?, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(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) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb8in) = 2 Pol(evalsipma91bb11in) = 2 Pol(evalsipma91bb5in) = 2 Pol(evalsipma91returnin) = 1 Pol(evalsipma91bb3in) = 3 Pol(evalsipma91bb2in) = 3 Pol(evalsipma91stop) = 0 Pol(evalsipma91entryin) = 3 Pol(evalsipma91start) = 3 Pol(koat_start) = 3 orients all transitions weakly and the transitions evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb3in) = -V_2 + 101 Pol(evalsipma91bb2in) = -V_2 + 91 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-0) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-1) = Ar_1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-0) = 1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-1) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-3) = Ar_3 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-0) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-1) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-3) = Ar_3 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-0) = ? S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-1) = ? S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-0) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-1) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-3) = Ar_3 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-0) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-1) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-2) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-3) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-0) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-1) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-2) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-0) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-0) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-0) = 1 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-3) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-0) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-1) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-2) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-3) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-0) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-1) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-2) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-3) = ? orients the transitions evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) weakly and the transition evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] strictly and produces the following problem: 5: T: (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(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: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb8in) = 101*V_4 - 100 Pol(evalsipma91bb11in) = 101*V_1 - 201 Pol(evalsipma91bb5in) = 101*V_1 - 201 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-0) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-1) = Ar_1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-0) = 1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-1) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-3) = Ar_3 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-1) = 12*Ar_0 + 159984 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ]", 0-3) = Ar_3 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-0) = Ar_0 + 102 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-1) = 12*Ar_0 + 159984 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-1) = 12*Ar_0 + 1919808 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ]", 0-3) = Ar_3 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-0) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-1) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-2) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ]", 0-3) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-0) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-1) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-2) = ? S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-0) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-0) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ]", 0-3) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-0) = 1 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-1) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-2) = ? S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-3) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-0) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-1) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-2) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ]", 0-3) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-0) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-1) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-2) = ? S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ]", 0-3) = ? orients the transitions evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] weakly and the transition evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] strictly and produces the following problem: 7: T: (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_2 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ 100 >= Ar_2 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ 110 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 101 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 100 >= Ar_1 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 7 to obtain the following invariants: For symbol evalsipma91bb11in: X_2 - 101 >= 0 /\ X_1 + X_2 - 102 >= 0 /\ X_1 - 1 >= 0 For symbol evalsipma91bb2in: -X_2 + 100 >= 0 /\ X_1 - X_2 + 99 >= 0 /\ X_1 - 1 >= 0 For symbol evalsipma91bb3in: X_1 - 1 >= 0 For symbol evalsipma91bb5in: X_2 - 101 >= 0 /\ X_1 + X_2 - 103 >= 0 /\ X_1 - 2 >= 0 For symbol evalsipma91bb8in: X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 92 >= 0 /\ X_2 + X_4 - 102 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_2 - X_3 - 10 >= 0 /\ X_3 - 91 >= 0 /\ X_2 + X_3 - 192 >= 0 /\ -X_2 + X_3 + 10 >= 0 /\ X_1 + X_3 - 93 >= 0 /\ X_2 - 101 >= 0 /\ X_1 + X_2 - 103 >= 0 /\ X_1 - 2 >= 0 For symbol evalsipma91returnin: X_1 - 1 >= 0 This yielded the following problem: 8: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ 100 >= Ar_1 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\ Ar_0 - Ar_1 + 99 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb8in) = V_4 Pol(evalsipma91bb11in) = V_1 - 1 Pol(evalsipma91bb5in) = V_1 - 1 and size complexities S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-1) = 111 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-2) = 100 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-0) = 1 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-1) = 110 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-2) = 100 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-0) = 1 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-3) = Ar_3 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_2 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_3 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-3) = Ar_3 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 1 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + Ar_1 + 222 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-0) = 1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-1) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-0) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-1) = Ar_1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-3) = Ar_3 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] weakly and the transition evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ 100 >= Ar_1 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\ Ar_0 - Ar_1 + 99 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] (Comp: 3*Ar_0 + 309, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb8in) = -V_3 + 100 Pol(evalsipma91bb11in) = -V_2 + 111 Pol(evalsipma91bb5in) = -V_2 + 111 and size complexities S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-1) = 111 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-2) = 100 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-0) = 1 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-1) = 110 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-2) = 100 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-0) = 1 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-3) = Ar_3 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_2 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_3 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-3) = Ar_3 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 1 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + Ar_1 + 222 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-0) = 1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-1) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-0) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-1) = Ar_1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-3) = Ar_3 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] weakly and the transition evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ 100 >= Ar_1 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\ Ar_0 - Ar_1 + 99 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ 1 >= Ar_0 ] (Comp: 3*Ar_0^2 + 1311*Ar_0 + 103563, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: ?, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] (Comp: 3*Ar_0 + 309, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalsipma91bb8in) = -3*V_3 + 301 Pol(evalsipma91bb11in) = -3*V_2 + 333 Pol(evalsipma91bb5in) = -3*V_2 + 332 and size complexities S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= 101 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-1) = 111 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-2) = 100 S("evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 92 >= 0 /\\ Ar_1 + Ar_3 - 102 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ -Ar_0 + Ar_3 + 1 >= 0 /\\ Ar_1 - Ar_2 - 10 >= 0 /\\ Ar_2 - 91 >= 0 /\\ Ar_1 + Ar_2 - 192 >= 0 /\\ -Ar_1 + Ar_2 + 10 >= 0 /\\ Ar_0 + Ar_2 - 93 >= 0 /\\ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 100 >= Ar_2 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-0) = 1 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_1 >= 111 /\\ Ar_0 = 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-2) = Ar_0 + 222 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_0 >= 3 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-1) = 110 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-2) = 100 S("evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 103 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 110 >= Ar_1 ]", 0-3) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-0) = 1 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 1 >= Ar_0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-1) = Ar_0 + 222 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\\ Ar_0 + Ar_1 - 102 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 2 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ Ar_1 >= 101 ]", 0-3) = Ar_3 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_2 S("evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\\ Ar_0 - Ar_1 + 99 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_3 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-0) = Ar_0 + 102 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-1) = Ar_0 + 111 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-2) = Ar_2 S("evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\\ 100 >= Ar_1 ]", 0-3) = Ar_3 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 + 1 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 + Ar_1 + 222 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 + Ar_2 + 322 S("evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 + Ar_3 + 102 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-0) = 1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-1) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ]", 0-3) = Ar_3 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-0) = Ar_0 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-1) = Ar_1 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-2) = Ar_2 S("evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ]", 0-3) = Ar_3 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] weakly and the transition evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] strictly and produces the following problem: 11: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ 100 >= Ar_1 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\ Ar_0 - Ar_1 + 99 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 101 ] (Comp: ?, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ 1 >= Ar_0 ] (Comp: 3*Ar_0^2 + 1311*Ar_0 + 103563, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] (Comp: ?, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: 1812*Ar_0^2 + 791844*Ar_0 + 62552052, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] (Comp: 3*Ar_0 + 309, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 11 produces the following problem: 12: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalsipma91start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 101 ] (Comp: 1, Cost: 1) evalsipma91entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(1, Ar_0, Ar_2, Ar_3)) [ 100 >= Ar_0 ] (Comp: 3, Cost: 1) evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ 100 >= Ar_1 ] (Comp: Ar_0 + 101, Cost: 1) evalsipma91bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb3in(Ar_0 + 1, Ar_1 + 11, Ar_2, Ar_3)) [ -Ar_1 + 100 >= 0 /\ Ar_0 - Ar_1 + 99 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 3, Cost: 1) evalsipma91bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 101 ] (Comp: 791847*Ar_0 + 1812*Ar_0^2 + 62552364, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 2 ] (Comp: 3, Cost: 1) evalsipma91bb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 102 >= 0 /\ Ar_0 - 1 >= 0 /\ 1 >= Ar_0 ] (Comp: 3*Ar_0^2 + 1311*Ar_0 + 103563, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 110 >= Ar_1 ] (Comp: 791847*Ar_0 + 1812*Ar_0^2 + 62552364, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb8in(Ar_0, Ar_1, Ar_1 - 10, Ar_0 - 1)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_0 >= 3 ] (Comp: 303*Ar_0 + 31509, Cost: 1) evalsipma91bb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_0 - 1, Ar_1 - 10, Ar_2, Ar_3)) [ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_1 >= 111 /\ Ar_0 = 2 ] (Comp: 1812*Ar_0^2 + 791844*Ar_0 + 62552052, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3 + 1, Ar_2 + 11, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ 100 >= Ar_2 ] (Comp: 3*Ar_0 + 309, Cost: 1) evalsipma91bb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalsipma91bb11in(Ar_3, Ar_2 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 92 >= 0 /\ Ar_1 + Ar_3 - 102 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_1 - Ar_2 - 10 >= 0 /\ Ar_2 - 91 >= 0 /\ Ar_1 + Ar_2 - 192 >= 0 /\ -Ar_1 + Ar_2 + 10 >= 0 /\ Ar_0 + Ar_2 - 93 >= 0 /\ Ar_1 - 101 >= 0 /\ Ar_0 + Ar_1 - 103 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= 101 ] start location: koat_start leaf cost: 0 Complexity upper bound 2377157*Ar_0 + 5439*Ar_0^2 + 187792375 Time: 5.729 sec (SMT: 5.506 sec)