3.83/2.63 WORST_CASE(?, O(n^1)) 3.83/2.64 proof of /export/starexec/sandbox/output/output_files/bench.koat 3.83/2.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.83/2.64 3.83/2.64 3.83/2.64 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 3.83/2.64 3.83/2.64 (0) CpxIntTrs 3.83/2.64 (1) Koat Proof [FINISHED, 1391 ms] 3.83/2.64 (2) BOUNDS(1, n^1) 3.83/2.64 3.83/2.64 3.83/2.64 ---------------------------------------- 3.83/2.64 3.83/2.64 (0) 3.83/2.64 Obligation: 3.83/2.64 Complexity Int TRS consisting of the following rules: 3.83/2.64 eval_knuth_morris_pratt_start(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb0_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_bb0_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb1_in(v_2, v_4, 0, 0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_bb1_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb2_in(v_2, v_4, v_i.0, v_j.0, v_j.0, v_m, v_n)) :|: v_i.0 < v_n 3.83/2.64 eval_knuth_morris_pratt_bb1_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb6_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_i.0 >= v_n 3.83/2.64 eval_knuth_morris_pratt_bb2_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb3_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_j.1 >= 0 3.83/2.64 eval_knuth_morris_pratt_bb2_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_.critedge_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_j.1 < 0 3.83/2.64 eval_knuth_morris_pratt_bb3_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_0(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_0(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_2(eval_nondet_start(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n), eval_knuth_morris_pratt_1(nondef.0, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_1(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb4_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_2 > 0 3.83/2.64 eval_knuth_morris_pratt_1(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_.critedge_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_2 <= 0 3.83/2.64 eval_knuth_morris_pratt_bb4_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_2(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_2(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_2(eval_nondet_start(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n), eval_knuth_morris_pratt_3(v_2, nondef.1, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_3(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb6_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_4 <= 0 3.83/2.64 eval_knuth_morris_pratt_3(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb6_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_4 > 0 3.83/2.64 eval_knuth_morris_pratt_3(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb5_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_4 > 0 && v_4 <= 0 3.83/2.64 eval_knuth_morris_pratt_bb5_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb2_in(v_2, v_4, v_i.0, v_j.0, v_j.1 - v_4, v_m, v_n)) :|: TRUE 3.83/2.64 eval_knuth_morris_pratt_.critedge_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb6_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: v_j.1 + 1 >= v_m && v_j.1 + 1 <= v_m 3.83/2.64 eval_knuth_morris_pratt_.critedge_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb1_in(v_2, v_4, v_i.0 + 1, v_j.1 + 1, v_j.1, v_m, v_n)) :|: v_j.1 + 1 < v_m 3.83/2.64 eval_knuth_morris_pratt_.critedge_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_bb1_in(v_2, v_4, v_i.0 + 1, v_j.1 + 1, v_j.1, v_m, v_n)) :|: v_j.1 + 1 > v_m 3.83/2.64 eval_knuth_morris_pratt_bb6_in(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n) -> Com_1(eval_knuth_morris_pratt_stop(v_2, v_4, v_i.0, v_j.0, v_j.1, v_m, v_n)) :|: TRUE 3.83/2.64 3.83/2.64 The start-symbols are:[eval_knuth_morris_pratt_start_7] 3.83/2.64 3.83/2.64 3.83/2.64 ---------------------------------------- 3.83/2.64 3.83/2.64 (1) Koat Proof (FINISHED) 3.83/2.64 YES(?, 72*ar_2 + 135) 3.83/2.64 3.83/2.64 3.83/2.64 3.83/2.64 Initial complexity problem: 3.83/2.64 3.83/2.64 1: T: 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 + 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= 0 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_3 + 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 /\ 0 >= ar_6 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3 - ar_6, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 = ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= ar_3 + 2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.64 3.83/2.64 start location: koat_start 3.83/2.64 3.83/2.64 leaf cost: 0 3.83/2.64 3.83/2.64 3.83/2.64 3.83/2.64 Testing for reachability in the complexity graph removes the following transitions from problem 1: 3.83/2.64 3.83/2.64 evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 /\ 0 >= ar_6 ] 3.83/2.64 3.83/2.64 evalknuthmorrisprattbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3 - ar_6, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 We thus obtain the following problem: 3.83/2.64 3.83/2.64 2: T: 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= ar_3 + 2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 = ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_3 + 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= 0 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 + 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.64 3.83/2.64 start location: koat_start 3.83/2.64 3.83/2.64 leaf cost: 0 3.83/2.64 3.83/2.64 3.83/2.64 3.83/2.64 Repeatedly propagating knowledge in problem 2 produces the following problem: 3.83/2.64 3.83/2.64 3: T: 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= ar_3 + 2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 = ar_7 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_3 + 1 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= 0 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 ] 3.83/2.64 3.83/2.64 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 + 1 ] 3.83/2.64 3.83/2.64 (Comp: 1, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: 1, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.64 3.83/2.64 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.65 3.83/2.65 start location: koat_start 3.83/2.65 3.83/2.65 leaf cost: 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 A polynomial rank function with 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt3) = 2 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb6in) = 1 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt21) = 3 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt20) = 1 3.83/2.65 3.83/2.65 Pol(evalnondetstart) = 0 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt2) = 5 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb4in) = 6 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt1) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattcritedgein) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt01) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt00) = 0 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt0) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb1in) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb3in) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattstop) = 0 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb2in) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb0in) = 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattstart) = 7 3.83/2.65 3.83/2.65 Pol(koat_start) = 7 3.83/2.65 3.83/2.65 orients all transitions weakly and the transitions 3.83/2.65 3.83/2.65 evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 = ar_7 ] 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) 3.83/2.65 3.83/2.65 evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.65 3.83/2.65 evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.83/2.65 3.83/2.65 strictly and produces the following problem: 3.83/2.65 3.83/2.65 4: T: 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= ar_3 + 2 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 = ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_3 + 1 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 + 1 ] 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.65 3.83/2.65 start location: koat_start 3.83/2.65 3.83/2.65 leaf cost: 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 Applied AI with 'oct' on problem 4 to obtain the following invariants: 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt0: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt00: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt01: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt1: X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt2: 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 - 1 >= 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 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt20: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt21: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrispratt3: X_6 - X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattbb1in: X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattbb2in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattbb3in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattbb4in: 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 - 1 >= 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 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattbb6in: X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 For symbol evalknuthmorrisprattcritedgein: -X_6 >= 0 /\ X_5 - X_6 >= 0 /\ -X_5 - X_6 >= 0 /\ X_4 - X_6 >= 0 /\ X_3 - X_6 - 1 >= 0 /\ X_2 - X_6 >= 0 /\ X_1 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 >= 0 /\ X_1 - X_5 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 This yielded the following problem: 3.83/2.65 3.83/2.65 5: T: 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 + 1 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 + 1 = ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_7 >= ar_3 + 2 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_6 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_6 >= 1 ] 3.83/2.65 3.83/2.65 start location: koat_start 3.83/2.65 3.83/2.65 leaf cost: 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 Testing for unsatisfiable constraints removes the following transition from problem 5: 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ] 3.83/2.65 3.83/2.65 We thus obtain the following problem: 3.83/2.65 3.83/2.65 6: T: 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 + 1 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 + 1 = ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_7 >= ar_3 + 2 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_7 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ] 3.83/2.65 3.83/2.65 (Comp: ?, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_6 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_6 >= 1 ] 3.83/2.65 3.83/2.65 start location: koat_start 3.83/2.65 3.83/2.65 leaf cost: 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 A polynomial rank function with 3.83/2.65 3.83/2.65 Pol(koat_start) = 8*V_3 + 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattstart) = 8*V_3 + 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb0in) = 8*V_3 + 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb1in) = -8*V_2 + 8*V_3 + 7 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb2in) = 8*V_3 - 8*V_4 + 6 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb6in) = -8*V_1 + 8*V_3 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb3in) = 8*V_3 - 8*V_4 + 5 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattstop) = -8*V_1 + 8*V_3 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt0) = -8*V_1 + 8*V_3 + 4 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattcritedgein) = 8*V_3 - 8*V_4 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt00) = 1 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt01) = 8*V_3 - 8*V_4 + 2 3.83/2.65 3.83/2.65 Pol(evalnondetstart) = 0 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt1) = -8*V_1 + 8*V_3 + 1 3.83/2.65 3.83/2.65 Pol(evalknuthmorrisprattbb4in) = -8*V_1 + 8*V_2 + 8*V_3 - 8*V_4 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt2) = 8*V_3 - 8*V_4 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt20) = 0 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt21) = -8*V_2 + 8*V_3 3.83/2.65 3.83/2.65 Pol(evalknuthmorrispratt3) = -8*V_1 + 8*V_3 3.83/2.65 3.83/2.65 orients all transitions weakly and the transitions 3.83/2.65 3.83/2.65 evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_7 >= ar_3 + 2 ] 3.83/2.65 3.83/2.65 evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_7 ] 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 + 1 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 strictly and produces the following problem: 3.83/2.65 3.83/2.65 7: T: 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 1, Cost: 1) evalknuthmorrisprattbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(0, 0, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_1, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 + 1 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrisprattbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrisprattbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 + 1 = ar_7 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_7 >= ar_3 + 2 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb1in(ar_0 + 1, ar_3 + 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ -ar_5 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 - ar_5 >= 0 /\ ar_3 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_1 - ar_5 >= 0 /\ ar_0 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 >= 0 /\ ar_0 - ar_4 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= ar_7 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrispratt0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrispratt00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrispratt01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ] 3.83/2.65 3.83/2.65 (Comp: 8*ar_2 + 7, Cost: 1) evalknuthmorrispratt1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrisprattbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ 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 - 1 >= 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 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_6 ] 3.83/2.65 3.83/2.65 (Comp: 7, Cost: 1) evalknuthmorrispratt3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalknuthmorrisprattbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 >= 0 /\ -ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_6 >= 1 ] 3.83/2.65 3.83/2.65 start location: koat_start 3.83/2.65 3.83/2.65 leaf cost: 0 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 Complexity upper bound 72*ar_2 + 135 3.83/2.65 3.83/2.65 3.83/2.65 3.83/2.65 Time: 1.360 sec (SMT: 0.870 sec) 3.83/2.65 3.83/2.65 3.83/2.65 ---------------------------------------- 3.83/2.65 3.83/2.65 (2) 3.83/2.65 BOUNDS(1, n^1) 3.83/2.66 EOF