WORST_CASE(?, O(n^3)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: ?, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: ?, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: ?, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortstart) = 2 Pol(evalrealshellsortentryin) = 2 Pol(evalrealshellsortbb8in) = 2 Pol(evalrealshellsortbb6in) = 2 Pol(evalrealshellsortreturnin) = 1 Pol(evalrealshellsortbb1in) = 2 Pol(evalrealshellsortbb7in) = 2 Pol(evalrealshellsortbb3in) = 2 Pol(evalrealshellsortbb5in) = 2 Pol(evalrealshellsortbb4in) = 2 Pol(evalrealshellsortbb2in) = 2 Pol(evalrealshellsortstop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortstart) = V_1 + 2 Pol(evalrealshellsortentryin) = V_1 + 2 Pol(evalrealshellsortbb8in) = 2*V_2 + 1 Pol(evalrealshellsortbb6in) = V_2 + 2 Pol(evalrealshellsortreturnin) = 2*V_2 + 1 Pol(evalrealshellsortbb1in) = V_2 + 2 Pol(evalrealshellsortbb7in) = V_2 + 2 Pol(evalrealshellsortbb3in) = V_2 + 2 Pol(evalrealshellsortbb5in) = V_2 + 2 Pol(evalrealshellsortbb4in) = V_2 + 2 Pol(evalrealshellsortbb2in) = V_2 + 2 Pol(evalrealshellsortstop) = 2*V_2 + 1 Pol(koat_start) = V_1 + 2 orients all transitions weakly and the transition evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortstart) = V_1 + 2 Pol(evalrealshellsortentryin) = V_1 + 2 Pol(evalrealshellsortbb8in) = 2*V_2 + 1 Pol(evalrealshellsortbb6in) = V_2 + 2 Pol(evalrealshellsortreturnin) = 2*V_2 + 1 Pol(evalrealshellsortbb1in) = V_2 + 2 Pol(evalrealshellsortbb7in) = V_2 + 2 Pol(evalrealshellsortbb3in) = V_2 + 2 Pol(evalrealshellsortbb5in) = V_2 + 2 Pol(evalrealshellsortbb4in) = V_2 + 2 Pol(evalrealshellsortbb2in) = V_2 + 2 Pol(evalrealshellsortstop) = 2*V_2 + 1 Pol(koat_start) = V_1 + 2 orients all transitions weakly and the transition evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: ?, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortbb7in) = 1 Pol(evalrealshellsortbb8in) = 0 Pol(evalrealshellsortbb6in) = 2 Pol(evalrealshellsortbb1in) = 2 Pol(evalrealshellsortbb5in) = 2 Pol(evalrealshellsortbb4in) = 2 Pol(evalrealshellsortbb2in) = 2 Pol(evalrealshellsortbb3in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) weakly and the transitions evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortbb6in) = V_1 - V_3 Pol(evalrealshellsortbb1in) = V_1 - V_3 - 1 Pol(evalrealshellsortbb5in) = V_1 - V_3 - 1 Pol(evalrealshellsortbb4in) = V_1 - V_3 - 1 Pol(evalrealshellsortbb2in) = V_1 - V_3 - 1 Pol(evalrealshellsortbb3in) = V_1 - V_3 - 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) weakly and the transition evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 8 produces the following problem: 9: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortbb5in) = 0 Pol(evalrealshellsortbb6in) = -1 Pol(evalrealshellsortbb4in) = 1 Pol(evalrealshellsortbb2in) = 1 Pol(evalrealshellsortbb3in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) weakly and the transition evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] strictly and produces the following problem: 10: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortbb5in) = 0 Pol(evalrealshellsortbb6in) = -1 Pol(evalrealshellsortbb4in) = 1 Pol(evalrealshellsortbb2in) = 1 Pol(evalrealshellsortbb3in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ? S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 orients the transitions evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) weakly and the transition evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] strictly and produces the following problem: 11: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: ?, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 11 produces the following problem: 12: T: (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) (Comp: 2*Ar_0^2 + 6*Ar_0, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 12 to obtain the following invariants: For symbol evalrealshellsortbb1in: X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalrealshellsortbb2in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0 For symbol evalrealshellsortbb3in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalrealshellsortbb4in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0 For symbol evalrealshellsortbb5in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalrealshellsortbb6in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 For symbol evalrealshellsortbb7in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 For symbol evalrealshellsortreturnin: -X_2 >= 0 This yielded the following problem: 13: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 = 0 ] (Comp: 2*Ar_0^2 + 6*Ar_0, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 Testing for unsatisfiable constraints removes the following transitions from problem 13: evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ] evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 = 0 ] We thus obtain the following problem: 14: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0^2 + 6*Ar_0, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ] (Comp: ?, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealshellsortbb4in) = V_1 - V_2 + 8*V_5 - 8 Pol(evalrealshellsortbb2in) = V_1 - V_2 + 8*V_5 - 14 Pol(evalrealshellsortbb3in) = V_1 + 7*V_2 + 8*V_5 - 15 and size complexities S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3 S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3 S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = Ar_0 + Ar_4 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_0 + Ar_2 S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = Ar_0 + Ar_4 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-2) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-4) = Ar_0 + Ar_4 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-1) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-2) = Ar_0 S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-3) = ? S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-4) = Ar_0 + Ar_4 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = ? S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-4) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-2) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-4) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-2) = Ar_0 S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-4) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-2) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-4) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-0) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-1) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-2) = Ar_0 S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-3) = ? S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-4) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-1) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-2) = Ar_0 S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-3) = ? S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-4) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0 S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = ? S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-4) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = Ar_0 S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ? S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = Ar_0 + Ar_4 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-1) = Ar_0 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-2) = Ar_0 + Ar_2 S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-3) = ? S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-4) = Ar_0 + Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4 orients the transitions evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ] weakly and the transition evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] strictly and produces the following problem: 15: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0^2 + 6*Ar_0, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ] (Comp: 16*Ar_0^3 + 63*Ar_0^2 + 45*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 15 produces the following problem: 16: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ] (Comp: Ar_0 + 2, Cost: 1) evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ] (Comp: 2*Ar_0^2 + 6*Ar_0, Cost: 1) evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 16*Ar_0^3 + 63*Ar_0^2 + 45*Ar_0, Cost: 1) evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ] (Comp: 16*Ar_0^3 + 63*Ar_0^2 + 45*Ar_0, Cost: 1) evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ] (Comp: 64*Ar_0^2 + 48*Ar_0 + 16*Ar_0^3, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2*Ar_0 + 6, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ] (Comp: Ar_0^2 + 3*Ar_0, Cost: 1) evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ] (Comp: 2, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ] (Comp: Ar_0 + 3, Cost: 1) evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ] (Comp: 1, Cost: 1) evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 Complexity upper bound 160*Ar_0 + 196*Ar_0^2 + 48*Ar_0^3 + 19 Time: 5.905 sec (SMT: 5.590 sec)