/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).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, 584 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_Loopus2011_ex1_start(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb0_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE eval_Loopus2011_ex1_bb0_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, 0, v_i.1, v_j.0, v_n)) :|: TRUE eval_Loopus2011_ex1_bb1_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb2_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.0 < v_n eval_Loopus2011_ex1_bb1_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb6_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.0 >= v_n eval_Loopus2011_ex1_bb2_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.0 + 1, 0, v_n)) :|: TRUE eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb4_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.1 < v_n eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.1 >= v_n eval_Loopus2011_ex1_bb4_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_2(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE eval_Loopus2011_ex1_2(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_2(eval_nondet_start(v_3, v_i.0, v_i.1, v_j.0, v_n), eval_Loopus2011_ex1_3(nondef.0, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE eval_Loopus2011_ex1_3(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb5_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_3 > 0 eval_Loopus2011_ex1_3(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_3 <= 0 eval_Loopus2011_ex1_bb5_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1 + 1, v_j.0 + 1, v_n)) :|: TRUE eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, v_i.1 - 1, v_i.1, v_j.0, v_n)) :|: v_j.0 > 0 eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, v_i.1, v_i.1, v_j.0, v_n)) :|: v_j.0 <= 0 eval_Loopus2011_ex1_bb6_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_stop(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE The start-symbols are:[eval_Loopus2011_ex1_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 208*Ar_1 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_4 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 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) evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_4 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalLoopus2011ex1start) = 2 Pol(evalLoopus2011ex1bb0in) = 2 Pol(evalLoopus2011ex1bb1in) = 2 Pol(evalLoopus2011ex1bb2in) = 2 Pol(evalLoopus2011ex1bb6in) = 1 Pol(evalLoopus2011ex1bb3in) = 2 Pol(evalLoopus2011ex1bb4in) = 2 Pol(evalLoopus2011ex1critedgein) = 2 Pol(evalLoopus2011ex12) = 2 Pol(evalLoopus2011ex120) = 0 Pol(evalnondetstart) = 0 Pol(evalLoopus2011ex121) = 2 Pol(evalLoopus2011ex13) = 2 Pol(evalLoopus2011ex1bb5in) = 2 Pol(evalLoopus2011ex1stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_4 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_3 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalLoopus2011ex12: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex120: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex121: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex13: X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1bb1in: X_1 >= 0 For symbol evalLoopus2011ex1bb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1bb3in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1bb4in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1bb5in: X_5 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1bb6in: X_1 - X_2 >= 0 /\ X_1 >= 0 For symbol evalLoopus2011ex1critedgein: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 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, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ] (Comp: ?, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 16*V_2 Pol(evalLoopus2011ex1start) = 16*V_2 Pol(evalLoopus2011ex1bb6in) = -16*V_1 + 16*V_2 - 7 Pol(evalLoopus2011ex1stop) = -16*V_1 + 16*V_2 - 7 Pol(evalLoopus2011ex1critedgein) = 16*V_2 - 16*V_3 + 9*V_4 + 1 Pol(evalLoopus2011ex1bb1in) = -16*V_1 + 16*V_2 - 7 Pol(evalLoopus2011ex1bb5in) = 16*V_2 - 16*V_3 + 9*V_4 + 1 Pol(evalLoopus2011ex1bb3in) = 16*V_2 - 16*V_3 + 9*V_4 + 7 Pol(evalLoopus2011ex13) = 16*V_2 - 16*V_3 + 9*V_4 + 2 Pol(evalLoopus2011ex12) = 16*V_2 - 16*V_3 + 9*V_4 + 5 Pol(evalLoopus2011ex120) = 1 Pol(evalLoopus2011ex121) = 16*V_2 - 16*V_3 + 9*V_4 + 3 Pol(evalnondetstart) = 0 Pol(evalLoopus2011ex1bb4in) = 16*V_2 - 16*V_3 + 9*V_4 + 6 Pol(evalLoopus2011ex1bb2in) = -16*V_1 + 16*V_2 - 8 Pol(evalLoopus2011ex1bb0in) = 16*V_2 orients all transitions weakly and the transitions evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_3 ] evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= 1 ] evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ] evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ] evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ] evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ] evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_3 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(Ar_2 - 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= 1 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 3 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_4 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= 1 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_2(evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0), evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_0)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex121(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex120(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1critedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb3in(Ar_0, Ar_1, Ar_0 + 1, 0, Ar_4, Ar_5)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ] (Comp: 2, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 0 /\ Ar_0 >= Ar_1 ] (Comp: 16*Ar_1, Cost: 1) evalLoopus2011ex1bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ] (Comp: 1, Cost: 1) evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) evalLoopus2011ex1start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(evalLoopus2011ex1bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) start location: koat_start leaf cost: 0 Complexity upper bound 208*Ar_1 + 6 Time: 0.614 sec (SMT: 0.451 sec) ---------------------------------------- (2) BOUNDS(1, n^1)