/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 377 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_cryptRandWriteFile_start(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb0_in(v_.0, v_.0., v_bytes, v_i.0)) :|: TRUE eval_cryptRandWriteFile_bb0_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb1_in(v_bytes, v_.0., v_bytes, v_i.0)) :|: TRUE eval_cryptRandWriteFile_bb1_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_.0 > 0 eval_cryptRandWriteFile_bb1_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb6_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_.0 <= 0 eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, v_.0, v_bytes, 0)) :|: v_.0 < 256 eval_cryptRandWriteFile_bb2_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, 256, v_bytes, 0)) :|: v_.0 >= 256 eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb4_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_i.0 < v_.0. eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb5_in(v_.0, v_.0., v_bytes, v_i.0)) :|: v_i.0 >= v_.0. eval_cryptRandWriteFile_bb4_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb3_in(v_.0, v_.0., v_bytes, v_i.0 + 1)) :|: TRUE eval_cryptRandWriteFile_bb5_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_bb1_in(v_.0 - v_.0., v_.0., v_bytes, v_i.0)) :|: TRUE eval_cryptRandWriteFile_bb6_in(v_.0, v_.0., v_bytes, v_i.0) -> Com_1(eval_cryptRandWriteFile_stop(v_.0, v_.0., v_bytes, v_i.0)) :|: TRUE The start-symbols are:[eval_cryptRandWriteFile_start_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 8212*Ar_1 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ 255 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_0 >= 256 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ 255 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_0 >= 256 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalcryptRandWriteFilestart) = 2 Pol(evalcryptRandWriteFilebb0in) = 2 Pol(evalcryptRandWriteFilebb1in) = 2 Pol(evalcryptRandWriteFilebb2in) = 2 Pol(evalcryptRandWriteFilebb6in) = 1 Pol(evalcryptRandWriteFilebb3in) = 2 Pol(evalcryptRandWriteFilebb4in) = 2 Pol(evalcryptRandWriteFilebb5in) = 2 Pol(evalcryptRandWriteFilestop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 1 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ 255 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_0 >= 256 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) (Comp: ?, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalcryptRandWriteFilebb1in: -X_1 + X_2 >= 0 For symbol evalcryptRandWriteFilebb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalcryptRandWriteFilebb3in: X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 + 256 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalcryptRandWriteFilebb4in: -X_4 + 255 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ -X_3 - X_4 + 511 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 + 256 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalcryptRandWriteFilebb5in: X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_3 + 256 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalcryptRandWriteFilebb6in: -X_1 + X_2 >= 0 /\ -X_1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ -Ar_2 - Ar_3 + 511 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 256 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 255 >= Ar_0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 4*V_2 Pol(evalcryptRandWriteFilestart) = 4*V_2 Pol(evalcryptRandWriteFilebb6in) = 4*V_1 Pol(evalcryptRandWriteFilestop) = 4*V_1 Pol(evalcryptRandWriteFilebb5in) = 4*V_1 - 3 Pol(evalcryptRandWriteFilebb1in) = 4*V_1 Pol(evalcryptRandWriteFilebb4in) = 4*V_1 - 2 Pol(evalcryptRandWriteFilebb3in) = 4*V_1 - 2 Pol(evalcryptRandWriteFilebb2in) = 4*V_1 - 1 Pol(evalcryptRandWriteFilebb0in) = 4*V_2 orients all transitions weakly and the transitions evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_2 ] evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 256 ] evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 255 >= Ar_0 ] evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ -Ar_2 - Ar_3 + 511 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_2 ] (Comp: ?, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_3 + 1 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 256 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 255 >= Ar_0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalcryptRandWriteFilebb4in) = -2*V_4 + 511 Pol(evalcryptRandWriteFilebb3in) = -2*V_4 + 512 and size complexities S("evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_1 S("evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 1 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 1 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 1 ]", 0-2) = Ar_2 + 256 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 1 ]", 0-3) = Ar_3 + 256 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ 0 >= Ar_0 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ 0 >= Ar_0 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ 0 >= Ar_0 ]", 0-2) = Ar_2 + 256 S("evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ 0 >= Ar_0 ]", 0-3) = Ar_3 + 256 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 255 >= Ar_0 ]", 0-0) = 255 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 255 >= Ar_0 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 255 >= Ar_0 ]", 0-2) = 255 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 255 >= Ar_0 ]", 0-3) = 0 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 256 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 256 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 256 ]", 0-2) = 256 S("evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= 256 ]", 0-3) = 0 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_3 + 1 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_3 + 1 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_3 + 1 ]", 0-2) = 256 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= Ar_3 + 1 ]", 0-3) = 255 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_2 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_2 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_2 ]", 0-2) = 256 S("evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_2 ]", 0-3) = 256 S("evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\\ Ar_2 - Ar_3 - 1 >= 0 /\\ -Ar_2 - Ar_3 + 511 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\\ Ar_2 - Ar_3 - 1 >= 0 /\\ -Ar_2 - Ar_3 + 511 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\\ Ar_2 - Ar_3 - 1 >= 0 /\\ -Ar_2 - Ar_3 + 511 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 256 S("evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\\ Ar_2 - Ar_3 - 1 >= 0 /\\ -Ar_2 - Ar_3 + 511 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 + 256 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = 256 S("evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = 256 S("evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 2 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_1 + Ar_3 - 2 >= 0 /\\ Ar_0 + Ar_3 - 2 >= 0 /\\ -Ar_2 + 256 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ -Ar_0 + Ar_1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = 256 S("evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 >= 0 ]", 0-0) = Ar_1 + 255 S("evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 >= 0 ]", 0-2) = Ar_2 + 256 S("evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\\ -Ar_0 >= 0 ]", 0-3) = Ar_3 + 256 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(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(evalcryptRandWriteFilestart(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(evalcryptRandWriteFilestart(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(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ -Ar_2 - Ar_3 + 511 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_3 + 1 ] weakly and the transitions evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ -Ar_2 - Ar_3 + 511 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_3 + 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilestop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_0 - Ar_2, Ar_1, Ar_2, Ar_3)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 2 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4096*Ar_1, Cost: 1) evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ -Ar_3 + 255 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ -Ar_2 - Ar_3 + 511 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_2 ] (Comp: 4096*Ar_1, Cost: 1) evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 + 256 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 + 256 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_3 + 1 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, 256, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 256 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb3in(Ar_0, Ar_1, Ar_0, 0)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 255 >= Ar_0 ] (Comp: 2, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ] (Comp: 4*Ar_1, Cost: 1) evalcryptRandWriteFilebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb1in(Ar_1, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalcryptRandWriteFilestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalcryptRandWriteFilebb0in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 8212*Ar_1 + 6 Time: 0.341 sec (SMT: 0.272 sec) ---------------------------------------- (2) BOUNDS(1, n^1)