WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalSimpleMultipleDepstart) = 2 Pol(evalSimpleMultipleDepentryin) = 2 Pol(evalSimpleMultipleDepbb3in) = 2 Pol(evalSimpleMultipleDepbbin) = 2 Pol(evalSimpleMultipleDepreturnin) = 1 Pol(evalSimpleMultipleDepbb1in) = 2 Pol(evalSimpleMultipleDepbb2in) = 2 Pol(evalSimpleMultipleDepstop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalSimpleMultipleDepbb1in: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalSimpleMultipleDepbb2in: X_1 - X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalSimpleMultipleDepbb3in: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalSimpleMultipleDepbbin: X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalSimpleMultipleDepreturnin: X_2 - X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 2*V_3 + 1 Pol(evalSimpleMultipleDepstart) = 2*V_3 + 1 Pol(evalSimpleMultipleDepreturnin) = -2*V_2 + 2*V_3 Pol(evalSimpleMultipleDepstop) = -2*V_2 + 2*V_3 Pol(evalSimpleMultipleDepbb2in) = -2*V_2 + 2*V_3 - 1 Pol(evalSimpleMultipleDepbb3in) = -2*V_2 + 2*V_3 Pol(evalSimpleMultipleDepbb1in) = -2*V_2 + 2*V_3 Pol(evalSimpleMultipleDepbbin) = -2*V_2 + 2*V_3 Pol(evalSimpleMultipleDepentryin) = 2*V_3 + 1 orients all transitions weakly and the transitions evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalSimpleMultipleDepbbin) = -5*V_1 + 5*V_4 - 4 Pol(evalSimpleMultipleDepbb1in) = -5*V_1 + 5*V_4 - 7 Pol(evalSimpleMultipleDepbb3in) = -5*V_1 + 5*V_4 - 3 and size complexities S("evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3))", 0-0) = 0 S("evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 + 1 ]", 0-0) = Ar_3 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 + 1 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 + 1 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_2 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-0) = 0 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= Ar_2 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_3 >= Ar_0 + 1 ]", 0-0) = Ar_3 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_3 >= Ar_0 + 1 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_3 >= Ar_0 + 1 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_3 >= Ar_0 + 1 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-0) = Ar_3 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_0 >= Ar_3 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = Ar_3 S("evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = 0 S("evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = Ar_3 S("evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = 0 S("evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = Ar_2 S("evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 S("evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(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(evalSimpleMultipleDepstart(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(evalSimpleMultipleDepstart(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(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 + 1 ] evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] weakly and the transition evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] (Comp: 10*Ar_3 + 10*Ar_2*Ar_3 + 6*Ar_2 + 6, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 6 produces the following problem: 7: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 - Ar_3 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 10*Ar_3 + 10*Ar_2*Ar_3 + 6*Ar_2 + 6, Cost: 1) evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2*Ar_2 + 1, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 ] (Comp: 10*Ar_3 + 10*Ar_2*Ar_3 + 6*Ar_2 + 6, Cost: 1) evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 ] (Comp: 10*Ar_3 + 10*Ar_2*Ar_3 + 8*Ar_2 + 8, Cost: 1) evalSimpleMultipleDepbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepbb3in(0, 0, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleMultipleDepstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleMultipleDepentryin(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 24*Ar_2 + 30*Ar_3 + 30*Ar_2*Ar_3 + 28 Time: 2.003 sec (SMT: 1.925 sec)