2.76/1.71 WORST_CASE(?, O(n^1)) 2.76/1.72 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.76/1.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.76/1.72 2.76/1.72 2.76/1.72 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 2.76/1.72 2.76/1.72 (0) CpxIntTrs 2.76/1.72 (1) Koat Proof [FINISHED, 481 ms] 2.76/1.72 (2) BOUNDS(1, n^1) 2.76/1.72 2.76/1.72 2.76/1.72 ---------------------------------------- 2.76/1.72 2.76/1.72 (0) 2.76/1.72 Obligation: 2.76/1.72 Complexity Int TRS consisting of the following rules: 2.76/1.72 eval_foo_start(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: TRUE 2.76/1.72 eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_bb1_in(v_x, v_tmp, v_3, v_4, v_tmp, v_x)) :|: TRUE 2.76/1.72 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: v_.0 > 0 2.76/1.72 eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: v_.0 <= 0 2.76/1.72 eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: v_.0 >= 2 * v_.01 && v_.0 <= 2 * v_.01 2.76/1.72 eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: v_.0 < 2 * v_.01 2.76/1.72 eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: v_.0 > 2 * v_.01 2.76/1.72 eval_foo_bb3_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_3(v_.0, v_.01, v_.0 - 1, v_4, v_tmp, v_x)) :|: TRUE 2.76/1.72 eval_foo_3(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_3, v_4, v_tmp, v_x), eval_foo_4(v_.0, v_.01, v_3, nondef.0, v_tmp, v_x)) :|: TRUE 2.76/1.72 eval_foo_4(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_bb1_in(v_3, v_4, v_3, v_4, v_tmp, v_x)) :|: TRUE 2.76/1.72 eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_tmp, v_x) -> Com_1(eval_foo_stop(v_.0, v_.01, v_3, v_4, v_tmp, v_x)) :|: TRUE 2.76/1.72 2.76/1.72 The start-symbols are:[eval_foo_start_6] 2.76/1.72 2.76/1.72 2.76/1.72 ---------------------------------------- 2.76/1.72 2.76/1.72 (1) Koat Proof (FINISHED) 2.76/1.72 YES(?, 98*ar_1 + 10) 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 Initial complexity problem: 2.76/1.72 2.76/1.72 1: T: 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 = 2*ar_2 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 2*ar_2 >= ar_0 + 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 2*ar_2 + 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.72 2.76/1.72 start location: koat_start 2.76/1.72 2.76/1.72 leaf cost: 0 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.76/1.72 2.76/1.72 2: T: 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 = 2*ar_2 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 2*ar_2 >= ar_0 + 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 2*ar_2 + 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.72 2.76/1.72 start location: koat_start 2.76/1.72 2.76/1.72 leaf cost: 0 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 A polynomial rank function with 2.76/1.72 2.76/1.72 Pol(evalfoostart) = 2 2.76/1.72 2.76/1.72 Pol(evalfoobb0in) = 2 2.76/1.72 2.76/1.72 Pol(evalfoobb1in) = 2 2.76/1.72 2.76/1.72 Pol(evalfoobb2in) = 2 2.76/1.72 2.76/1.72 Pol(evalfoocritedgein) = 1 2.76/1.72 2.76/1.72 Pol(evalfoobb3in) = 2 2.76/1.72 2.76/1.72 Pol(evalfoo3) = 2 2.76/1.72 2.76/1.72 Pol(evalfoo30) = 0 2.76/1.72 2.76/1.72 Pol(evalVERIFIERnondetintstart) = 0 2.76/1.72 2.76/1.72 Pol(evalfoo31) = 2 2.76/1.72 2.76/1.72 Pol(evalfoo4) = 2 2.76/1.72 2.76/1.72 Pol(evalfoostop) = 0 2.76/1.72 2.76/1.72 Pol(koat_start) = 2 2.76/1.72 2.76/1.72 orients all transitions weakly and the transitions 2.76/1.72 2.76/1.72 evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 2*ar_2 >= ar_0 + 1 ] 2.76/1.72 2.76/1.72 evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 2*ar_2 + 1 ] 2.76/1.72 2.76/1.72 evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 2.76/1.72 2.76/1.72 strictly and produces the following problem: 2.76/1.72 2.76/1.72 3: T: 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 = 2*ar_2 ] 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 2*ar_2 >= ar_0 + 1 ] 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 2*ar_2 + 1 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.72 2.76/1.72 start location: koat_start 2.76/1.72 2.76/1.72 leaf cost: 0 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 Applied AI with 'oct' on problem 3 to obtain the following invariants: 2.76/1.72 2.76/1.72 For symbol evalfoo3: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoo30: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoo31: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoo4: X_6 - X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoobb1in: -X_1 + X_2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoobb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoobb3in: X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 2.76/1.72 2.76/1.72 For symbol evalfoocritedgein: -X_1 + X_2 >= 0 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 2.76/1.72 This yielded the following problem: 2.76/1.72 2.76/1.72 4: T: 2.76/1.72 2.76/1.72 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.72 2.76/1.72 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 2*ar_2 + 1 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 2*ar_2 >= ar_0 + 1 ] 2.76/1.73 2.76/1.73 (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 = 2*ar_2 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 2.76/1.73 2.76/1.73 (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 2.76/1.73 2.76/1.73 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.76/1.73 2.76/1.73 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.73 2.76/1.73 start location: koat_start 2.76/1.73 2.76/1.73 leaf cost: 0 2.76/1.73 2.76/1.73 2.76/1.73 2.76/1.73 A polynomial rank function with 2.76/1.73 2.76/1.73 Pol(koat_start) = 14*V_2 2.76/1.73 2.76/1.73 Pol(evalfoostart) = 14*V_2 2.76/1.73 2.76/1.73 Pol(evalfoocritedgein) = 14*V_1 - 2 2.76/1.73 2.76/1.73 Pol(evalfoostop) = 14*V_1 - 2 2.76/1.73 2.76/1.73 Pol(evalfoo4) = 14*V_5 + 2 2.76/1.73 2.76/1.73 Pol(evalfoobb1in) = 14*V_1 2.76/1.73 2.76/1.73 Pol(evalfoo3) = 14*V_5 + 8 2.76/1.73 2.76/1.73 Pol(evalfoo30) = 2 2.76/1.73 2.76/1.73 Pol(evalfoo31) = 14*V_5 + 4 2.76/1.73 2.76/1.73 Pol(evalVERIFIERnondetintstart) = 1 2.76/1.73 2.76/1.73 Pol(evalfoobb3in) = 14*V_1 - 4 2.76/1.73 2.76/1.73 Pol(evalfoobb2in) = 14*V_1 - 2 2.76/1.73 2.76/1.73 Pol(evalfoobb0in) = 14*V_2 2.76/1.73 2.76/1.73 orients all transitions weakly and the transitions 2.76/1.73 2.76/1.73 evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 = 2*ar_2 ] 2.76/1.73 2.76/1.73 evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 2.76/1.73 2.76/1.73 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 strictly and produces the following problem: 2.76/1.73 2.76/1.73 5: T: 2.76/1.73 2.76/1.73 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5, ar_6)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 2*ar_2 + 1 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 2*ar_2 >= ar_0 + 1 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 = 2*ar_2 ] 2.76/1.73 2.76/1.73 (Comp: 2, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 2.76/1.73 2.76/1.73 (Comp: 14*ar_1, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 2.76/1.73 2.76/1.73 (Comp: 1, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6)) 2.76/1.73 2.76/1.73 (Comp: 1, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.73 2.76/1.73 start location: koat_start 2.76/1.73 2.76/1.73 leaf cost: 0 2.76/1.73 2.76/1.73 2.76/1.73 2.76/1.73 Complexity upper bound 98*ar_1 + 10 2.76/1.73 2.76/1.73 2.76/1.73 2.76/1.73 Time: 0.494 sec (SMT: 0.360 sec) 2.76/1.73 2.76/1.73 2.76/1.73 ---------------------------------------- 2.76/1.73 2.76/1.73 (2) 2.76/1.73 BOUNDS(1, n^1) 2.83/1.76 EOF