WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= E /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= E /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_17 - 1, Ar_3)) [ 0 >= 1 /\ Fresh_17 >= 0 /\ 0 >= 2*Fresh_17 /\ 2*Fresh_17 + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_16 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= Fresh_16 /\ Ar_2 + 1 = 0 /\ 2*Fresh_16 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_16 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_15 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Fresh_15 >= 0 /\ 0 >= 2*Fresh_15 /\ 2*Fresh_15 + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_14 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ 0 >= Fresh_14 /\ Ar_2 + 1 = 0 /\ 2*Fresh_14 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_14 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_13 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ Fresh_13 >= 0 /\ 0 >= 2*Fresh_13 /\ 2*Fresh_13 + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_12 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ 0 >= Fresh_12 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_12 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_12 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_11 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Fresh_11 >= 0 /\ 0 >= 2*Fresh_11 /\ 2*Fresh_11 + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_10 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ 0 >= Fresh_10 /\ Ar_2 + 1 = 0 /\ 2*Fresh_10 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_10 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Ar_2 + 1 = 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_8 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= Fresh_8 /\ 2*Fresh_8 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_8 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ 0 >= F /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_7 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= G /\ Fresh_7 >= 0 /\ Ar_2 + 1 >= 2*Fresh_7 /\ 2*Fresh_7 >= Ar_2 /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_6 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= G /\ 0 >= Fresh_6 /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G /\ 2*Fresh_6 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_6 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_5 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ Fresh_5 >= 0 /\ 0 >= 2*Fresh_5 /\ 2*Fresh_5 + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_4 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ 0 >= Fresh_4 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_4 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_4 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_3 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ Ar_2 >= 0 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_3 >= 0 /\ Ar_2 + 1 >= 2*Fresh_3 /\ 2*Fresh_3 >= Ar_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_2 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ Ar_2 >= 0 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ 0 >= Fresh_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_2 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ 0 >= F /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_1 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ 0 >= G /\ Ar_2 >= 0 /\ Fresh_1 >= 0 /\ Ar_2 + 1 >= 2*Fresh_1 /\ 2*Fresh_1 >= Ar_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_0 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ 0 >= G /\ 0 >= Fresh_0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G /\ 2*Fresh_0 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 + 1 = 0 ] evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= E /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 + 1 = 0 ] evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= E /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_17 - 1, Ar_3)) [ 0 >= 1 /\ Fresh_17 >= 0 /\ 0 >= 2*Fresh_17 /\ 2*Fresh_17 + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_16 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= Fresh_16 /\ Ar_2 + 1 = 0 /\ 2*Fresh_16 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_16 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_15 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Fresh_15 >= 0 /\ 0 >= 2*Fresh_15 /\ 2*Fresh_15 + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_14 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ 0 >= Fresh_14 /\ Ar_2 + 1 = 0 /\ 2*Fresh_14 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_14 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_13 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ Fresh_13 >= 0 /\ 0 >= 2*Fresh_13 /\ 2*Fresh_13 + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_12 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ 0 >= Fresh_12 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_12 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_12 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_11 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Fresh_11 >= 0 /\ 0 >= 2*Fresh_11 /\ 2*Fresh_11 + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_10 - 1, Ar_3)) [ 0 >= 1 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ 0 >= Fresh_10 /\ Ar_2 + 1 = 0 /\ 2*Fresh_10 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_10 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Ar_2 + 1 = 0 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_8 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= Fresh_8 /\ 2*Fresh_8 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_8 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ E >= 0 /\ 0 >= 2*E /\ 2*E + 1 >= 0 /\ 0 >= F /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_7 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= G /\ Fresh_7 >= 0 /\ Ar_2 + 1 >= 2*Fresh_7 /\ 2*Fresh_7 >= Ar_2 /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_6 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ 0 >= Ar_2 + 2 /\ 0 >= G /\ 0 >= Fresh_6 /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G /\ 2*Fresh_6 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_6 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_5 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ Fresh_5 >= 0 /\ 0 >= 2*Fresh_5 /\ 2*Fresh_5 + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_4 - 1, Ar_3)) [ 0 >= 1 /\ 0 >= F /\ 0 >= Fresh_4 /\ Ar_2 + 1 = 0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_4 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_4 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ F >= 0 /\ 0 >= 2*F /\ 2*F + 1 >= 0 /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_3 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ Ar_2 >= 0 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_3 >= 0 /\ Ar_2 + 1 >= 2*Fresh_3 /\ 2*Fresh_3 >= Ar_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_2 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ Ar_2 >= 0 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ 0 >= Fresh_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*Fresh_2 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_2 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, -1, Ar_3)) [ 0 >= 1 /\ 0 >= E /\ 0 >= F /\ Ar_2 + 1 = 0 /\ 2*E >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*E /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_1 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ 0 >= G /\ Ar_2 >= 0 /\ Fresh_1 >= 0 /\ Ar_2 + 1 >= 2*Fresh_1 /\ 2*Fresh_1 >= Ar_2 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_0 - 1, Ar_3)) [ 0 >= Ar_2 + 2 /\ 0 >= F /\ 0 >= G /\ 0 >= Fresh_0 /\ 2*F >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*F /\ 2*G >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*G /\ 2*Fresh_0 >= Ar_2 + 1 /\ Ar_2 + 2 >= 2*Fresh_0 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: ?, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: ?, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb14in) = 2 Pol(evalrealheapsortbb16in) = 2 Pol(evalrealheapsortbb13in) = 2 Pol(evalrealheapsortbb12in) = 2 Pol(evalrealheapsortbb10in) = 2 Pol(evalrealheapsortbb11in) = 2 Pol(evalrealheapsortbb17in) = 2 Pol(evalrealheapsortbb18in) = 2 Pol(evalrealheapsortbb9in) = 2 Pol(evalrealheapsortbb8in) = 2 Pol(evalrealheapsortreturnin) = 1 Pol(evalrealheapsortbb7in) = 3 Pol(evalrealheapsortbb6in) = 4 Pol(evalrealheapsortbb2in) = 4 Pol(evalrealheapsortbb3in) = 4 Pol(evalrealheapsortbb4in) = 4 Pol(evalrealheapsortbb5in) = 4 Pol(evalrealheapsortstop) = 0 Pol(evalrealheapsortentryin) = 4 Pol(evalrealheapsortstart) = 4 Pol(koat_start) = 4 orients all transitions weakly and the transitions evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = -2*V_1 + 1 Pol(evalrealheapsortbb11in) = -2*V_1 + 1 Pol(evalrealheapsortbb10in) = -2*V_1 + 1 Pol(evalrealheapsortbb8in) = -2*V_1 + 1 Pol(evalrealheapsortbb16in) = -2*V_1 + 1 Pol(evalrealheapsortbb6in) = 2*V_1 - 2*V_2 - 1 Pol(evalrealheapsortbb3in) = 2*V_1 - 2*V_2 - 3 Pol(evalrealheapsortbb5in) = 2*V_1 - 2*V_2 - 3 Pol(evalrealheapsortbb4in) = 2*V_1 - 2*V_2 - 3 Pol(evalrealheapsortbb2in) = 2*V_1 - 2*V_2 - 3 Pol(evalrealheapsortbb18in) = -2*V_1 + 1 Pol(evalrealheapsortbb17in) = -2*V_1 + 1 Pol(evalrealheapsortbb14in) = -2*V_1 + 1 Pol(evalrealheapsortbb13in) = -2*V_1 + 1 Pol(evalrealheapsortbb12in) = -2*V_1 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-1) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-1) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-1) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-1) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-3) = ? orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transition evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] strictly and produces the following problem: 5: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = 1 Pol(evalrealheapsortbb11in) = 1 Pol(evalrealheapsortbb10in) = 1 Pol(evalrealheapsortbb8in) = 1 Pol(evalrealheapsortbb16in) = 1 Pol(evalrealheapsortbb5in) = 1 Pol(evalrealheapsortbb6in) = 0 Pol(evalrealheapsortbb4in) = 2 Pol(evalrealheapsortbb2in) = 2 Pol(evalrealheapsortbb3in) = 2 Pol(evalrealheapsortbb18in) = 1 Pol(evalrealheapsortbb17in) = 1 Pol(evalrealheapsortbb14in) = 1 Pol(evalrealheapsortbb13in) = 1 Pol(evalrealheapsortbb12in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = ? S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = ? S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-1) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-1) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-1) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-1) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-3) = ? orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transitions evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] strictly and produces the following problem: 6: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = 1 Pol(evalrealheapsortbb11in) = 1 Pol(evalrealheapsortbb10in) = 1 Pol(evalrealheapsortbb8in) = 1 Pol(evalrealheapsortbb16in) = 1 Pol(evalrealheapsortbb4in) = 4*V_3 + 3 Pol(evalrealheapsortbb2in) = 4*V_3 + 1 Pol(evalrealheapsortbb3in) = 8*V_3 + 1 Pol(evalrealheapsortbb18in) = 1 Pol(evalrealheapsortbb17in) = 1 Pol(evalrealheapsortbb14in) = 1 Pol(evalrealheapsortbb13in) = 1 Pol(evalrealheapsortbb12in) = 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = 20*Ar_0 + 152020 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 1216320000 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = 20*Ar_0 + 152000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 20*Ar_0 + 24326400000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 486528000000 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-1) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-1) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-1) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-1) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-3) = ? orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transitions evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] strictly and produces the following problem: 7: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: ?, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 7 produces the following problem: 8: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb11in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb10in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb8in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb16in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb18in) = 2*V_1 - 2*V_2 + 2 Pol(evalrealheapsortbb17in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb14in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb13in) = 2*V_1 - 2*V_2 + 1 Pol(evalrealheapsortbb12in) = 2*V_1 - 2*V_2 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = 20*Ar_0 + 152020 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 1216320000 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = 20*Ar_0 + 152000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 20*Ar_0 + 24326400000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 486528000000 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-1) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-1) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-1) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-1) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-3) = ? orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transition evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] strictly and produces the following problem: 9: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 9 produces the following problem: 10: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: ?, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = 2 Pol(evalrealheapsortbb11in) = 2 Pol(evalrealheapsortbb10in) = 2 Pol(evalrealheapsortbb17in) = 1 Pol(evalrealheapsortbb18in) = 0 Pol(evalrealheapsortbb16in) = 2 Pol(evalrealheapsortbb14in) = 2 Pol(evalrealheapsortbb13in) = 2 Pol(evalrealheapsortbb12in) = 2 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = 20*Ar_0 + 152020 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 1216320000 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 60816000 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040800 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = 20*Ar_0 + 152000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 20*Ar_0 + 24326400000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = 20*Ar_0 + 486528000000 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-1) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3))", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-1) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-1) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-1) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3))", 0-3) = ? orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) weakly and the transitions evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] strictly and produces the following problem: 11: T: (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_0 >= Ar_1 + 1 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 11 to obtain the following invariants: For symbol evalrealheapsortbb10in: X_1 - X_3 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0 For symbol evalrealheapsortbb11in: X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb12in: X_1 - X_3 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0 For symbol evalrealheapsortbb13in: X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb14in: X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb16in: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb17in: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb18in: X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb2in: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb3in: X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb4in: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb5in: X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb6in: X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb7in: X_2 - 3 >= 0 /\ X_1 + X_2 - 6 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb8in: X_1 - X_2 - 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 For symbol evalrealheapsortbb9in: X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0 This yielded the following problem: 12: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ 0 >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 6 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: ?, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalrealheapsortbb9in) = 6*V_1 - 6*V_3 - 8 Pol(evalrealheapsortbb11in) = 6*V_1 - 6*V_3 - 10 Pol(evalrealheapsortbb10in) = 6*V_1 - 6*V_3 - 9 Pol(evalrealheapsortbb16in) = 6*V_1 - 6*V_3 - 7 Pol(evalrealheapsortbb14in) = 6*V_1 - 6*V_3 - 12 Pol(evalrealheapsortbb13in) = 6*V_1 - 6*V_3 - 11 Pol(evalrealheapsortbb12in) = 6*V_1 - 6*V_3 - 10 and size complexities S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ? S("evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ? S("evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ? S("evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ? S("evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ? S("evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ? S("evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ? S("evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ? S("evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ? S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = 0 S("evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-1) = 16*Ar_0 + 65536 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-3) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-1) = 16*Ar_0 + 4096 S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-2) = ? S("evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-3) = ? S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\\ Ar_0 + Ar_1 - 6 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\\ Ar_0 + Ar_1 - 6 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 0 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\\ Ar_0 + Ar_1 - 6 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = 20*Ar_0 + 486464000000 S("evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\\ Ar_0 + Ar_1 - 6 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 >= Ar_0 ]", 0-1) = 20*Ar_0 + 152000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 >= Ar_0 ]", 0-2) = 20*Ar_0 + 24323200000 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040400 S("evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ F >= 0 /\\ Ar_2 + 1 >= 2*F /\\ 2*F >= Ar_2 /\\ G >= 0 /\\ Ar_2 + 1 >= 2*G /\\ 2*G >= Ar_2 /\\ Fresh_9 >= 0 /\\ Ar_2 + 1 >= 2*Fresh_9 /\\ 2*Fresh_9 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 60808000 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-2) = 20*Ar_0 + 3040400 S("evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 0 /\\ E >= 0 /\\ Ar_2 + 1 >= 2*E /\\ 2*E >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = 20*Ar_0 + 1216160000 S("evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 1 ]", 0-2) = 20*Ar_0 + 3040400 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_2 >= 1 ]", 0-3) = Ar_3 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 0 >= Ar_2 ]", 0-0) = Ar_0 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 0 >= Ar_2 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 0 >= Ar_2 ]", 0-2) = 20*Ar_0 + 60808000 S("evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 0 >= Ar_2 ]", 0-3) = Ar_3 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 16*Ar_0 + 16*Ar_1 + 1048576 S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ? S("evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ? S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 1 ]", 0-0) = Ar_0 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 1 ]", 0-1) = 20*Ar_0 + 7600 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 1 ]", 0-2) = 20*Ar_0 + 152020 S("evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-1) = Ar_1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ]", 0-3) = Ar_3 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-0) = Ar_0 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-1) = 1 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-2) = Ar_2 S("evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ]", 0-3) = Ar_3 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] weakly and the transitions evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] strictly and produces the following problem: 13: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ 0 >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 6 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: ?, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 13 produces the following problem: 14: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) evalrealheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, 1, Ar_2, Ar_3)) [ Ar_0 >= 3 ] (Comp: 1, Cost: 1) evalrealheapsortentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 2 >= Ar_0 ] (Comp: 10*Ar_0 + 7, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Ar_1, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 1 ] (Comp: 4, Cost: 1) evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ 0 >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 1 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb6in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 20*Ar_0 + 18, Cost: 1) evalrealheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ E >= 0 /\ Ar_2 + 1 >= 2*E /\ 2*E >= Ar_2 ] (Comp: 1600*Ar_0^2 + 12162730*Ar_0 + 8513131, Cost: 1) evalrealheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb3in(Ar_0, Ar_1, Fresh_9 - 1, Ar_3)) [ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_2 >= 0 /\ F >= 0 /\ Ar_2 + 1 >= 2*F /\ 2*F >= Ar_2 /\ G >= 0 /\ Ar_2 + 1 >= 2*G /\ 2*G >= Ar_2 /\ Fresh_9 >= 0 /\ Ar_2 + 1 >= 2*Fresh_9 /\ 2*Fresh_9 >= Ar_2 ] (Comp: 4, Cost: 1) evalrealheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 >= Ar_0 ] (Comp: 4, Cost: 1) evalrealheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, 0, Ar_2, Ar_3)) [ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 6 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2 ] (Comp: 4, Cost: 1) evalrealheapsortbb18in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 + 1 >= Ar_0 ] (Comp: 8*Ar_0 + 8, Cost: 1) evalrealheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb16in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ] (Comp: 16*Ar_0 + 16, Cost: 1) evalrealheapsortbb17in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb18in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb12in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 96*Ar_0^2 + 208*Ar_0 + 112, Cost: 1) evalrealheapsortbb13in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_0, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] (Comp: 48*Ar_0^2 + 104*Ar_0 + 56, Cost: 1) evalrealheapsortbb14in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealheapsortbb16in(Ar_0, Ar_1, Ar_3, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 36489452*Ar_0 + 5328*Ar_0^2 + 25540137 Time: 8.370 sec (SMT: 7.926 sec)